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 -1/1 1/0 -9/1 -1/1 -8/1 -1/2 -1/3 -15/2 -2/1 0/1 -7/1 -1/2 -13/2 -1/2 -2/5 -19/3 -3/8 -25/4 -4/11 -1/3 -6/1 0/1 -29/5 -1/2 -23/4 -3/7 -2/5 -17/3 -3/8 -11/2 -2/5 -1/3 -27/5 -1/3 -16/3 -1/3 -3/10 -21/4 -2/7 0/1 -5/1 -1/4 -19/4 -1/3 -2/7 -52/11 -5/19 -1/4 -33/7 -1/3 -14/3 -3/11 -1/4 -23/5 -3/10 -9/2 -1/4 -31/7 -5/22 -53/12 -3/13 -2/9 -22/5 -3/14 -1/5 -35/8 -1/3 0/1 -13/3 -1/4 -17/4 -1/4 -2/9 -21/5 -1/5 -4/1 -1/4 -1/5 -19/5 -3/16 -34/9 -1/5 -1/6 -49/13 -3/16 -15/4 -2/11 0/1 -41/11 -1/6 -26/7 -1/4 -1/5 -11/3 -3/16 -29/8 -1/5 -2/11 -18/5 -2/11 -25/7 -1/6 -57/16 -2/11 0/1 -32/9 -3/17 -1/6 -7/2 -1/6 0/1 -24/7 -2/11 -17/5 -1/6 -27/8 -1/6 -10/3 -1/6 -3/19 -43/13 -9/58 -33/10 -2/13 -4/27 -56/17 -7/48 -1/7 -23/7 -1/6 -13/4 -2/11 -1/6 -16/5 -1/6 -3/19 -19/6 -2/13 -5/33 -22/7 -5/34 -1/7 -3/1 -1/7 -20/7 -3/22 -5/37 -17/6 -2/15 -5/38 -31/11 -7/54 -14/5 -5/39 -1/8 -53/19 -11/90 -39/14 -2/17 0/1 -103/37 -1/10 -64/23 -1/7 -1/8 -25/9 -1/8 -11/4 -1/7 -2/15 -30/11 -4/31 -19/7 -1/8 -27/10 -1/8 -8/3 -1/8 -3/25 -29/11 -1/8 -50/19 -1/8 -1/9 -21/8 -2/17 0/1 -97/37 -1/14 -76/29 -1/5 -1/6 -55/21 -5/36 -34/13 -5/39 -1/8 -13/5 -1/8 -31/12 -4/33 -3/25 -18/7 -2/17 -23/9 -3/26 -51/20 -2/17 -4/35 -79/31 -3/26 -28/11 -3/26 -1/9 -5/2 -2/17 -1/9 -27/11 -1/9 -22/9 -1/9 -9/82 -39/16 -6/55 -4/37 -17/7 -3/28 -29/12 -1/9 -2/19 -41/17 -3/28 -53/22 -5/47 -2/19 -12/5 -2/19 -55/23 -5/52 -43/18 -1/7 0/1 -31/13 -1/8 -19/8 -1/9 -2/19 -64/27 -1/9 -1/10 -45/19 -1/9 -26/11 -1/8 -1/9 -33/14 -4/37 -2/19 -7/3 -1/10 -23/10 -5/47 -2/19 -39/17 -3/29 -55/24 -2/19 -3/29 -16/7 -3/29 -1/10 -41/18 -8/79 -1/10 -25/11 -1/10 -9/4 -1/10 -29/13 -1/10 -49/22 -5/51 -4/41 -20/9 -1/10 -5/51 -51/23 -3/31 -31/14 -4/41 -3/31 -11/5 -3/32 -13/6 -1/10 -2/21 -15/7 -1/11 -2/1 -1/11 -1/12 -19/10 -3/37 -2/25 -17/9 -3/38 -15/8 -2/25 0/1 -13/7 -1/12 -24/13 0/1 -11/6 -3/37 -2/25 -31/17 -1/12 -20/11 -3/38 -1/13 -9/5 -1/13 -34/19 -1/13 -3/40 -59/33 -1/14 -25/14 -1/13 -4/53 -16/9 -1/13 -1/14 -55/31 -17/226 -39/22 -8/107 -2/27 -62/35 -7/94 -9/121 -23/13 -5/68 -53/30 -2/27 -3/41 -30/17 -2/27 -7/4 -1/14 0/1 -40/23 -1/11 -1/12 -33/19 -1/13 -26/15 -1/12 -1/13 -45/26 -1/13 -64/37 -1/13 -3/40 -19/11 -1/14 -50/29 -3/38 -1/13 -81/47 -1/13 -31/18 -1/13 -4/53 -43/25 -7/94 -98/57 -1/13 -1/14 -55/32 -2/27 -3/41 -12/7 -2/27 -53/31 -13/180 -94/55 -17/237 -1/14 -135/79 -1/14 -41/24 -1/14 -4/57 -29/17 -1/14 -46/27 -1/14 -1/15 -63/37 -1/13 -17/10 -2/27 -1/14 -56/33 -3/41 -7/96 -39/23 -3/41 -22/13 -5/69 -1/14 -27/16 -1/14 -5/3 -1/14 -33/20 -2/29 0/1 -28/17 -5/74 -1/15 -51/31 -1/15 -23/14 -1/15 -2/31 -18/11 0/1 -31/19 -1/14 -13/8 -1/14 -2/29 -47/29 -1/14 -81/50 -1/14 -34/21 -1/14 -3/43 -89/55 -5/72 -144/89 -2/29 -55/34 -2/29 -1/15 -76/47 -3/43 -5/72 -21/13 -1/15 -50/31 -1/14 -1/15 -79/49 -1/14 -108/67 -2/29 -29/18 -2/29 -1/15 -37/23 -1/14 -8/5 -1/14 -1/15 -27/17 -1/15 -19/12 -1/15 -2/31 -49/31 -1/16 -79/50 -2/29 -1/15 -30/19 -2/31 -41/26 -1/16 0/1 -11/7 -1/14 -25/16 -1/15 0/1 -89/57 -1/16 -64/41 -1/15 -3/46 -39/25 -1/15 -53/34 -1/15 -2/31 -67/43 -1/16 -81/52 -1/16 -14/9 -1/15 -1/16 -17/11 -1/18 -54/35 0/1 -37/24 -1/10 0/1 -20/13 -1/14 -1/15 -23/15 -1/16 -3/2 -2/31 0/1 -19/13 -1/18 -54/37 0/1 -35/24 -1/11 0/1 -16/11 -1/14 -1/15 -29/20 -1/15 -2/31 -13/9 -1/16 -23/16 -1/15 -2/31 -79/55 -1/16 -135/94 -1/16 -56/39 -1/16 -5/81 -33/23 -1/17 -76/53 -1/19 -1/20 -119/83 -1/28 -162/113 0/1 -43/30 -1/11 0/1 -10/7 -1/15 -1/16 -27/19 -1/16 -17/12 -1/16 -2/33 -41/29 -1/16 -24/17 -2/33 -79/56 -6/101 -1/17 -55/39 -7/120 -31/22 -1/19 0/1 -7/5 -1/16 -39/28 -2/33 -4/67 -32/23 -1/17 -1/18 -57/41 -1/17 -82/59 -11/186 -1/17 -189/136 -1/17 -107/77 -13/222 -25/18 -1/17 0/1 -18/13 0/1 -29/21 -1/16 -11/8 -2/33 -1/17 -37/27 -3/50 -63/46 -1/17 -26/19 -1/16 -1/17 -67/49 -1/18 -108/79 0/1 -41/30 -1/16 0/1 -15/11 -1/17 -64/47 -1/17 -1/18 -113/83 -1/20 -162/119 0/1 -49/36 -1/15 0/1 -34/25 -1/15 -1/16 -53/39 -11/180 -72/53 -2/33 -91/67 -7/116 -19/14 -2/33 -1/17 -23/17 -5/84 -27/20 -1/17 -4/3 -1/17 -1/18 -21/16 -2/35 0/1 -38/29 -1/17 -3/52 -55/42 -1/17 -2/35 -72/55 -2/35 -17/13 -1/18 -30/23 0/1 -13/10 -2/35 -1/18 -35/27 -3/52 -57/44 -2/35 -4/71 -22/17 -1/17 -1/18 -9/7 -1/18 -32/25 -1/18 -5/91 -55/43 -19/348 -23/18 -2/37 -1/19 -37/29 -5/92 -14/11 -1/18 -1/19 -61/48 -5/92 -2/37 -108/85 -2/37 -47/37 -3/56 -33/26 -2/37 0/1 -52/41 -1/19 -3/58 -71/56 -1/20 0/1 -90/71 0/1 -19/15 -1/18 -24/19 -2/37 -53/42 -2/37 -1/19 -135/107 -1/19 -82/65 -1/18 -1/19 -29/23 -1/18 -5/4 -2/37 -1/19 -26/21 -3/56 -1/19 -21/17 -1/19 -37/30 -3/56 -4/75 -90/73 -4/75 -53/43 -23/432 -16/13 -7/132 -1/19 -27/22 -1/19 -11/9 -5/96 -28/23 -1/19 -1/20 -45/37 -1/19 -17/14 -3/58 -2/39 -23/19 -1/18 -52/43 -7/132 -1/19 -81/67 -1/19 -29/24 -1/19 -6/115 -6/5 -2/39 -25/21 -1/20 -44/37 -1/19 -1/20 -19/16 -1/19 -2/39 -13/11 -1/20 -20/17 -11/219 -1/20 -27/23 -1/20 -7/6 -1/20 -4/81 -22/19 -1/20 -1/21 -15/13 -3/61 -23/20 -11/225 -2/41 -54/47 -2/41 -31/27 -15/308 -8/7 -3/62 -1/21 -17/15 -3/62 -9/8 -1/21 -10/9 -1/21 -3/64 -11/10 -2/43 -7/151 -1/1 -1/24 0/1 0/1 1/1 1/26 10/9 3/70 1/23 9/8 1/23 8/7 1/23 3/68 15/13 3/67 7/6 4/89 1/22 13/11 1/22 19/16 2/43 1/21 25/21 1/22 6/5 2/43 29/24 6/127 1/21 23/19 1/20 17/14 2/43 3/64 11/9 5/106 27/22 1/21 16/13 1/21 7/146 21/17 1/21 5/4 1/21 2/41 19/15 1/20 52/41 3/64 1/21 33/26 0/1 2/41 14/11 1/21 1/20 23/18 1/21 2/41 9/7 1/20 31/24 5/99 4/79 53/41 17/334 22/17 1/20 1/19 35/27 3/58 13/10 1/20 2/39 17/13 1/20 21/16 0/1 2/39 4/3 1/20 1/19 19/14 1/19 2/37 34/25 1/18 1/17 49/36 0/1 1/17 15/11 1/19 41/30 0/1 1/18 26/19 1/19 1/18 11/8 1/19 2/37 29/21 1/18 18/13 0/1 25/18 0/1 1/19 57/41 1/19 32/23 1/20 1/19 7/5 1/18 24/17 2/37 17/12 2/37 1/18 27/19 1/18 10/7 1/18 1/17 43/30 0/1 1/13 33/23 1/19 56/39 5/91 1/18 23/16 2/35 1/17 13/9 1/18 16/11 1/17 1/16 19/13 1/20 22/15 1/19 1/18 3/2 0/1 2/35 20/13 1/17 1/16 17/11 1/20 31/20 0/1 1/17 14/9 1/18 1/17 53/34 2/35 1/17 39/25 1/17 103/66 3/53 2/35 64/41 3/52 1/17 25/16 0/1 1/17 11/7 1/16 30/19 2/35 19/12 2/35 1/17 27/17 1/17 8/5 1/17 1/16 29/18 1/17 2/33 50/31 1/17 1/16 21/13 1/17 97/60 13/215 2/33 76/47 5/82 3/49 55/34 1/17 2/33 34/21 3/49 1/16 13/8 2/33 1/16 31/19 1/16 18/11 0/1 23/14 2/35 1/17 51/31 1/17 79/48 6/103 1/17 28/17 1/17 5/84 5/3 1/16 27/16 1/16 22/13 1/16 5/79 39/23 3/47 17/10 1/16 2/31 29/17 1/16 41/24 4/65 1/16 53/31 13/206 12/7 2/31 55/32 3/47 2/31 43/25 7/108 31/18 4/61 1/15 19/11 1/16 64/37 3/46 1/15 45/26 1/15 26/15 1/15 1/14 33/19 1/15 7/4 0/1 1/16 23/13 5/78 39/22 2/31 8/123 55/31 17/260 16/9 1/16 1/15 41/23 3/46 25/14 4/61 1/15 9/5 1/15 29/16 1/15 2/29 49/27 5/74 20/11 1/15 3/44 51/28 0/1 2/29 31/17 1/14 11/6 2/29 3/43 13/7 1/14 15/8 0/1 2/29 2/1 1/14 1/13 19/9 3/38 17/8 2/25 1/12 15/7 1/13 13/6 2/25 1/12 24/11 0/1 11/5 3/38 31/14 3/37 4/49 20/9 5/61 1/12 9/4 1/12 34/15 1/12 3/35 59/26 4/47 3/35 25/11 1/12 16/7 1/12 3/35 55/24 3/35 2/23 39/17 3/35 62/27 7/81 9/104 23/10 2/23 5/57 53/23 9/100 30/13 0/1 7/3 1/12 40/17 3/34 1/11 33/14 2/23 4/45 26/11 1/11 1/10 45/19 1/11 64/27 1/12 1/11 19/8 2/23 1/11 50/21 5/56 1/11 81/34 1/11 31/13 1/10 43/18 0/1 1/9 98/41 1/14 1/13 55/23 5/62 12/5 2/23 53/22 2/23 5/57 94/39 5/57 3/34 135/56 3/34 41/17 3/34 29/12 2/23 1/11 46/19 3/34 1/11 63/26 1/11 17/7 3/34 56/23 5/56 11/123 39/16 4/45 6/67 22/9 9/100 1/11 27/11 1/11 5/2 1/11 2/21 33/13 1/11 28/11 1/11 3/32 51/20 4/43 2/21 23/9 3/32 18/7 2/21 31/12 3/31 4/41 13/5 1/10 47/18 10/101 1/10 81/31 1/10 34/13 1/10 5/49 89/34 3/29 2/19 144/55 2/19 55/21 5/46 76/29 1/8 1/7 21/8 0/1 2/21 50/19 1/11 1/10 79/30 1/11 2/21 108/41 2/21 29/11 1/10 37/14 0/1 1/10 8/3 3/31 1/10 27/10 1/10 19/7 1/10 49/18 5/49 4/39 79/29 1/10 30/11 4/39 41/15 1/10 11/4 2/19 1/9 25/9 1/10 89/32 2/19 1/9 64/23 1/10 1/9 39/14 0/1 2/21 53/19 11/112 67/24 16/161 1/10 81/29 1/10 14/5 1/10 5/49 17/6 5/48 2/19 54/19 2/19 37/13 11/104 20/7 5/47 3/28 23/8 2/19 1/9 3/1 1/9 19/6 5/43 2/17 54/17 2/17 35/11 9/76 16/5 3/25 1/8 29/9 1/8 13/4 1/8 2/15 23/7 1/8 79/24 6/55 1/9 135/41 1/9 56/17 1/9 7/62 33/10 4/35 2/17 76/23 7/60 9/77 119/36 25/213 2/17 162/49 2/17 43/13 9/76 10/3 3/25 1/8 27/8 1/8 17/5 1/8 41/12 1/8 4/31 24/7 2/15 79/23 1/8 55/16 3/23 2/15 31/9 5/38 7/2 0/1 1/8 39/11 1/7 32/9 1/8 3/23 57/16 0/1 2/15 82/23 1/8 1/7 189/53 1/7 107/30 0/1 1/7 25/7 1/8 18/5 2/15 29/8 2/15 1/7 11/3 3/22 37/10 0/1 1/8 63/17 1/7 26/7 1/7 1/6 67/18 0/1 1/6 108/29 0/1 41/11 1/8 15/4 0/1 2/15 64/17 1/8 3/23 113/30 7/53 2/15 162/43 2/15 49/13 3/22 34/9 1/8 1/7 53/14 3/23 2/15 72/19 2/15 91/24 2/15 7/52 19/5 3/22 23/6 6/43 1/7 27/7 1/7 4/1 1/7 1/6 21/5 1/7 38/9 1/7 5/34 55/13 13/86 72/17 2/13 17/4 2/13 1/6 30/7 2/13 13/3 1/6 35/8 0/1 1/5 57/13 1/7 22/5 1/7 3/20 9/2 1/6 32/7 3/17 5/28 55/12 2/11 1/5 23/5 3/16 37/8 0/1 1/4 14/3 1/6 3/17 61/13 5/28 108/23 2/11 47/10 2/11 3/16 33/7 1/5 52/11 1/6 5/29 71/15 5/28 90/19 2/11 19/4 2/11 1/5 24/5 2/11 53/11 11/56 135/28 1/5 82/17 1/5 13/64 29/6 1/5 2/9 5/1 1/6 26/5 1/5 3/14 21/4 0/1 2/11 37/7 1/6 90/17 2/11 53/10 2/11 1/5 16/3 3/16 1/5 27/5 1/5 11/2 1/5 2/9 28/5 1/5 1/4 45/8 1/5 17/3 3/14 23/4 2/9 3/13 52/9 9/37 1/4 81/14 1/4 29/5 1/4 6/1 0/1 25/4 1/5 4/19 44/7 1/5 1/4 19/3 3/14 13/2 2/9 1/4 20/3 3/13 1/4 27/4 1/4 7/1 1/4 22/3 3/10 1/3 15/2 0/1 2/5 23/3 -1/2 54/7 0/1 31/4 0/1 1/11 8/1 1/5 1/4 17/2 1/4 2/7 9/1 1/3 10/1 1/3 1/2 11/1 1/6 1/0 0/1 1/1 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(1,2,-14,-27) Matrix(109,1026,46,433) -> Matrix(1,0,12,1) Matrix(109,918,-64,-539) -> Matrix(1,0,-12,1) Matrix(163,1242,-92,-701) -> Matrix(3,-2,-40,27) Matrix(53,378,-38,-271) -> Matrix(3,2,-50,-33) Matrix(107,702,-66,-433) -> Matrix(1,0,-12,1) Matrix(109,702,84,541) -> Matrix(1,0,22,1) Matrix(431,2700,-276,-1729) -> Matrix(11,4,-168,-61) Matrix(53,324,44,269) -> Matrix(7,2,150,43) Matrix(55,324,46,271) -> Matrix(3,2,64,43) Matrix(431,2484,-300,-1729) -> Matrix(9,4,-142,-63) Matrix(161,918,104,593) -> Matrix(5,2,92,37) Matrix(107,594,-78,-433) -> Matrix(1,0,-14,1) Matrix(109,594,20,109) -> Matrix(11,4,52,19) Matrix(161,864,30,161) -> Matrix(19,6,98,31) Matrix(215,1134,-164,-865) -> Matrix(1,0,-14,1) Matrix(53,270,-32,-163) -> Matrix(7,2,-102,-29) Matrix(215,1026,-136,-649) -> Matrix(1,0,-12,1) Matrix(217,1026,-114,-539) -> Matrix(15,4,-184,-49) Matrix(755,3564,526,2483) -> Matrix(1,0,22,1) Matrix(379,1782,-218,-1025) -> Matrix(7,2,-88,-25) Matrix(163,756,-58,-269) -> Matrix(9,2,-68,-15) Matrix(107,486,-24,-109) -> Matrix(15,4,-64,-17) Matrix(757,3348,220,973) -> Matrix(1,0,12,1) Matrix(1187,5238,734,3239) -> Matrix(17,4,276,65) Matrix(271,1188,-86,-377) -> Matrix(11,2,-72,-13) Matrix(161,702,136,593) -> Matrix(7,2,150,43) Matrix(215,918,-152,-649) -> Matrix(1,0,-12,1) Matrix(269,1134,-218,-919) -> Matrix(11,2,-204,-37) Matrix(271,1134,168,703) -> Matrix(9,2,148,33) Matrix(269,1026,-156,-595) -> Matrix(11,2,-138,-25) Matrix(971,3672,-600,-2269) -> Matrix(23,4,-328,-57) Matrix(701,2646,386,1457) -> Matrix(9,2,130,29) Matrix(919,3456,-330,-1241) -> Matrix(11,2,-94,-17) Matrix(217,810,116,433) -> Matrix(1,0,20,1) Matrix(755,2808,-552,-2053) -> Matrix(1,0,-12,1) Matrix(161,594,-132,-487) -> Matrix(9,2,-176,-39) Matrix(163,594,104,379) -> Matrix(11,2,192,35) Matrix(269,972,194,701) -> Matrix(11,2,214,39) Matrix(271,972,196,703) -> Matrix(11,2,192,35) Matrix(1621,5778,-636,-2267) -> Matrix(21,4,-184,-35) Matrix(379,1350,258,919) -> Matrix(11,2,192,35) Matrix(107,378,-92,-325) -> Matrix(23,4,-466,-81) Matrix(109,378,-62,-215) -> Matrix(1,0,-8,1) Matrix(269,918,-206,-703) -> Matrix(11,2,-204,-37) Matrix(271,918,80,271) -> Matrix(59,10,466,79) Matrix(161,540,48,161) -> Matrix(37,6,302,49) Matrix(1403,4644,-816,-2701) -> Matrix(25,4,-344,-55) Matrix(1243,4104,-474,-1565) -> Matrix(13,2,-124,-19) Matrix(1081,3564,852,2809) -> Matrix(27,4,560,83) Matrix(755,2484,-624,-2053) -> Matrix(1,0,-12,1) Matrix(215,702,132,431) -> Matrix(1,0,22,1) Matrix(269,864,-118,-379) -> Matrix(37,6,-364,-59) Matrix(271,864,-186,-593) -> Matrix(13,2,-176,-27) Matrix(431,1350,310,971) -> Matrix(27,4,506,75) Matrix(377,1080,-170,-487) -> Matrix(73,10,-752,-103) Matrix(379,1080,-246,-701) -> Matrix(15,2,-188,-25) Matrix(325,918,268,757) -> Matrix(31,4,674,87) Matrix(2051,5724,-1200,-3349) -> Matrix(97,12,-1350,-167) Matrix(1511,4212,852,2375) -> Matrix(67,8,1030,123) Matrix(4967,13824,-3648,-10153) -> Matrix(1,0,-10,1) Matrix(971,2700,-816,-2269) -> Matrix(1,0,-12,1) Matrix(215,594,156,431) -> Matrix(1,0,26,1) Matrix(217,594,-118,-323) -> Matrix(31,4,-380,-49) Matrix(377,1026,-298,-811) -> Matrix(47,6,-854,-109) Matrix(379,1026,140,379) -> Matrix(111,14,1102,139) Matrix(161,432,60,161) -> Matrix(49,6,498,61) Matrix(593,1566,-348,-919) -> Matrix(17,2,-230,-27) Matrix(2051,5400,-1272,-3349) -> Matrix(1,0,-6,1) Matrix(431,1134,328,863) -> Matrix(1,0,28,1) Matrix(6263,16416,-4368,-11449) -> Matrix(1,0,-14,1) Matrix(1999,5238,1546,4051) -> Matrix(11,2,214,39) Matrix(1403,3672,-1032,-2701) -> Matrix(31,4,-504,-65) Matrix(269,702,-228,-595) -> Matrix(49,6,-972,-119) Matrix(271,702,188,487) -> Matrix(17,2,314,37) Matrix(377,972,230,593) -> Matrix(17,2,314,37) Matrix(379,972,232,595) -> Matrix(17,2,246,29) Matrix(1079,2754,592,1511) -> Matrix(35,4,516,59) Matrix(2861,7290,-2268,-5779) -> Matrix(17,2,-332,-39) Matrix(107,270,-86,-217) -> Matrix(1,0,-10,1) Matrix(109,270,44,109) -> Matrix(35,4,376,43) Matrix(485,1188,198,485) -> Matrix(163,18,1802,199) Matrix(863,2106,-620,-1513) -> Matrix(73,8,-1232,-135) Matrix(377,918,-200,-487) -> Matrix(55,6,-706,-77) Matrix(647,1566,-402,-973) -> Matrix(37,4,-546,-59) Matrix(917,2214,514,1241) -> Matrix(55,6,834,91) Matrix(2375,5724,-1524,-3673) -> Matrix(75,8,-1172,-125) Matrix(539,1296,314,755) -> Matrix(37,4,564,61) Matrix(541,1296,316,757) -> Matrix(39,4,614,63) Matrix(271,648,-248,-593) -> Matrix(21,2,-452,-43) Matrix(701,1674,384,917) -> Matrix(17,2,246,29) Matrix(431,1026,-318,-757) -> Matrix(37,4,-620,-67) Matrix(865,2052,-728,-1727) -> Matrix(1,0,-10,1) Matrix(433,1026,46,109) -> Matrix(1,0,12,1) Matrix(1027,2430,-844,-1997) -> Matrix(17,2,-332,-39) Matrix(755,1782,-458,-1081) -> Matrix(37,4,-546,-59) Matrix(757,1782,-596,-1403) -> Matrix(37,4,-694,-75) Matrix(163,378,-116,-269) -> Matrix(19,2,-314,-33) Matrix(541,1242,-470,-1079) -> Matrix(115,12,-2348,-245) Matrix(1837,4212,1178,2701) -> Matrix(39,4,692,71) Matrix(1297,2970,-990,-2267) -> Matrix(77,8,-1338,-139) Matrix(973,2214,570,1297) -> Matrix(39,4,614,63) Matrix(215,486,-96,-217) -> Matrix(79,8,-800,-81) Matrix(2375,5292,872,1943) -> Matrix(1,0,20,1) Matrix(1189,2646,874,1945) -> Matrix(41,4,748,73) Matrix(1243,2754,756,1675) -> Matrix(21,2,388,37) Matrix(757,1674,440,973) -> Matrix(83,8,1276,123) Matrix(271,594,-172,-377) -> Matrix(21,2,-326,-31) Matrix(377,810,276,593) -> Matrix(21,2,388,37) Matrix(431,918,-254,-541) -> Matrix(41,4,-564,-55) Matrix(1081,2052,-796,-1511) -> Matrix(99,8,-1646,-133) Matrix(433,810,116,217) -> Matrix(1,0,20,1) Matrix(379,702,88,163) -> Matrix(25,2,162,13) Matrix(917,1674,384,701) -> Matrix(25,2,262,21) Matrix(593,1080,-386,-703) -> Matrix(25,2,-388,-31) Matrix(269,486,-150,-271) -> Matrix(77,6,-1014,-79) Matrix(2053,3672,544,973) -> Matrix(53,4,384,29) Matrix(1027,1836,212,379) -> Matrix(27,2,148,11) Matrix(485,864,-334,-595) -> Matrix(27,2,-392,-29) Matrix(973,1728,-790,-1403) -> Matrix(105,8,-1982,-151) Matrix(2375,4212,852,1511) -> Matrix(107,8,1110,83) Matrix(1189,2106,-1036,-1835) -> Matrix(269,20,-5528,-411) Matrix(1405,2484,306,541) -> Matrix(55,4,316,23) Matrix(1621,2862,-1284,-2267) -> Matrix(55,4,-1004,-73) Matrix(1459,2538,-1148,-1997) -> Matrix(23,2,-426,-37) Matrix(809,1404,-654,-1135) -> Matrix(27,2,-500,-37) Matrix(1621,2808,-1184,-2051) -> Matrix(1,0,-4,1) Matrix(593,1026,530,917) -> Matrix(79,6,1830,139) Matrix(3997,6912,-2560,-4427) -> Matrix(1,0,-2,1) Matrix(971,1674,250,431) -> Matrix(51,4,344,27) Matrix(1567,2700,408,703) -> Matrix(131,10,930,71) Matrix(973,1674,440,757) -> Matrix(107,8,1324,99) Matrix(755,1296,314,539) -> Matrix(53,4,596,45) Matrix(757,1296,316,541) -> Matrix(55,4,646,47) Matrix(5561,9504,1990,3401) -> Matrix(307,22,3056,219) Matrix(7237,12366,2592,4429) -> Matrix(281,20,2824,201) Matrix(917,1566,284,485) -> Matrix(29,2,246,17) Matrix(1999,3402,540,919) -> Matrix(27,2,202,15) Matrix(2863,4860,-2258,-3833) -> Matrix(27,2,-554,-41) Matrix(701,1188,-606,-1027) -> Matrix(83,6,-1674,-121) Matrix(703,1188,416,703) -> Matrix(139,10,2210,159) Matrix(161,270,96,161) -> Matrix(29,2,478,33) Matrix(3511,5778,-2526,-4157) -> Matrix(91,6,-1532,-101) Matrix(755,1242,262,431) -> Matrix(61,4,564,37) Matrix(593,972,230,377) -> Matrix(33,2,346,21) Matrix(595,972,232,379) -> Matrix(25,2,262,21) Matrix(431,702,132,215) -> Matrix(1,0,22,1) Matrix(1133,1836,166,269) -> Matrix(27,2,94,7) Matrix(1567,2538,234,379) -> Matrix(85,6,354,25) Matrix(6641,10746,-5240,-8479) -> Matrix(29,2,-450,-31) Matrix(7343,11880,-5608,-9073) -> Matrix(59,4,-1018,-69) Matrix(3673,5940,802,1297) -> Matrix(1,0,20,1) Matrix(2539,4104,-1770,-2861) -> Matrix(29,2,-508,-35) Matrix(703,1134,168,271) -> Matrix(29,2,188,13) Matrix(7235,11664,2746,4427) -> Matrix(57,4,584,41) Matrix(7237,11664,2748,4429) -> Matrix(59,4,634,43) Matrix(269,432,-236,-379) -> Matrix(31,2,-636,-41) Matrix(271,432,170,271) -> Matrix(29,2,478,33) Matrix(647,1026,408,647) -> Matrix(61,4,1052,69) Matrix(3349,5292,1846,2917) -> Matrix(59,4,870,59) Matrix(2701,4266,-1914,-3023) -> Matrix(61,4,-1022,-67) Matrix(1403,2214,410,647) -> Matrix(63,4,488,31) Matrix(379,594,104,163) -> Matrix(31,2,232,15) Matrix(2215,3456,-1626,-2537) -> Matrix(31,2,-512,-33) Matrix(2701,4212,1178,1837) -> Matrix(63,4,740,47) Matrix(7937,12366,3292,5129) -> Matrix(157,10,1774,113) Matrix(6103,9504,2532,3943) -> Matrix(35,2,402,23) Matrix(487,756,-382,-593) -> Matrix(31,2,-574,-37) Matrix(1889,2916,664,1025) -> Matrix(47,2,446,19) Matrix(1891,2916,666,1027) -> Matrix(15,2,142,19) Matrix(811,1242,318,487) -> Matrix(29,2,304,21) Matrix(811,1188,-626,-917) -> Matrix(33,2,-578,-35) Matrix(1997,2916,628,917) -> Matrix(45,2,382,17) Matrix(1999,2916,630,919) -> Matrix(17,2,144,17) Matrix(1081,1566,448,649) -> Matrix(61,4,686,45) Matrix(487,702,188,271) -> Matrix(33,2,346,21) Matrix(7181,10314,1240,1781) -> Matrix(159,10,620,39) Matrix(8047,11556,1392,1999) -> Matrix(225,14,916,57) Matrix(2483,3564,526,755) -> Matrix(1,0,22,1) Matrix(18305,26244,5536,7937) -> Matrix(65,2,552,17) Matrix(18307,26244,5538,7939) -> Matrix(3,-2,26,-17) Matrix(377,540,-340,-487) -> Matrix(29,2,-624,-43) Matrix(379,540,266,379) -> Matrix(31,2,542,35) Matrix(647,918,456,647) -> Matrix(65,4,1186,73) Matrix(1567,2214,574,811) -> Matrix(31,2,294,19) Matrix(6967,9828,-5014,-7073) -> Matrix(101,6,-1734,-103) Matrix(2375,3348,1838,2591) -> Matrix(71,4,1402,79) Matrix(2213,3078,504,701) -> Matrix(33,2,214,13) Matrix(19117,26568,3964,5509) -> Matrix(407,24,2018,119) Matrix(17603,24462,3652,5075) -> Matrix(409,24,2062,121) Matrix(701,972,194,269) -> Matrix(35,2,262,15) Matrix(703,972,196,271) -> Matrix(31,2,232,15) Matrix(431,594,156,215) -> Matrix(1,0,26,1) Matrix(2483,3402,1024,1403) -> Matrix(1,0,28,1) Matrix(8531,11664,2290,3131) -> Matrix(1,0,26,1) Matrix(8533,11664,2292,3133) -> Matrix(1,0,22,1) Matrix(593,810,276,377) -> Matrix(33,2,412,25) Matrix(19277,26244,5116,6965) -> Matrix(43,2,322,15) Matrix(19279,26244,5118,6967) -> Matrix(23,2,172,15) Matrix(2699,3672,1190,1619) -> Matrix(63,4,740,47) Matrix(6319,8586,-5126,-6965) -> Matrix(493,30,-9252,-563) Matrix(7991,10854,1510,2051) -> Matrix(265,16,1474,89) Matrix(1997,2700,838,1133) -> Matrix(101,6,1094,65) Matrix(1243,1674,522,703) -> Matrix(103,6,1150,67) Matrix(863,1134,328,431) -> Matrix(1,0,28,1) Matrix(5075,6642,1072,1403) -> Matrix(211,12,1178,67) Matrix(539,702,248,323) -> Matrix(1,0,30,1) Matrix(541,702,84,109) -> Matrix(1,0,22,1) Matrix(2377,3078,668,865) -> Matrix(71,4,550,31) Matrix(377,486,-294,-379) -> Matrix(107,6,-1944,-109) Matrix(4643,5940,1772,2267) -> Matrix(73,4,602,33) Matrix(1943,2484,844,1079) -> Matrix(147,8,1672,91) Matrix(973,1242,170,217) -> Matrix(73,4,310,17) Matrix(9179,11664,1954,2483) -> Matrix(295,16,1604,87) Matrix(9181,11664,1956,2485) -> Matrix(297,16,1652,89) Matrix(2809,3564,852,1081) -> Matrix(75,4,656,35) Matrix(5239,6642,1236,1567) -> Matrix(41,2,266,13) Matrix(19387,24462,5436,6859) -> Matrix(37,2,240,13) Matrix(21059,26568,5906,7451) -> Matrix(1,0,26,1) Matrix(1457,1836,642,809) -> Matrix(35,2,402,23) Matrix(8803,10854,2322,2863) -> Matrix(637,34,4740,253) Matrix(703,864,572,703) -> Matrix(265,14,5546,293) Matrix(485,594,396,485) -> Matrix(191,10,4030,211) Matrix(755,918,88,107) -> Matrix(77,4,250,13) Matrix(1025,1242,222,269) -> Matrix(39,2,214,11) Matrix(9557,11556,2902,3509) -> Matrix(265,14,2366,125) Matrix(8533,10314,2592,3133) -> Matrix(229,12,2080,109) Matrix(269,324,44,53) -> Matrix(39,2,214,11) Matrix(271,324,46,55) -> Matrix(39,2,136,7) Matrix(593,702,136,161) -> Matrix(39,2,214,11) Matrix(2159,2538,826,971) -> Matrix(319,16,3170,159) Matrix(1567,1836,600,703) -> Matrix(281,14,2830,141) Matrix(2537,2916,328,377) -> Matrix(41,2,676,33) Matrix(2539,2916,330,379) -> Matrix(41,2,-390,-19) Matrix(811,918,144,163) -> Matrix(125,6,604,29) Matrix(917,1026,530,593) -> Matrix(127,6,1926,91) Matrix(1,0,2,1) -> Matrix(1,0,50,1) Matrix(593,-648,248,-271) -> Matrix(47,-2,588,-25) Matrix(809,-918,334,-379) -> Matrix(137,-6,1530,-67) Matrix(1079,-1242,470,-541) -> Matrix(269,-12,3116,-139) Matrix(325,-378,92,-107) -> Matrix(89,-4,690,-31) Matrix(595,-702,228,-269) -> Matrix(131,-6,1332,-61) Matrix(2269,-2700,816,-971) -> Matrix(1,0,-12,1) Matrix(2053,-2484,624,-755) -> Matrix(1,0,-12,1) Matrix(487,-594,132,-161) -> Matrix(43,-2,280,-13) Matrix(919,-1134,218,-269) -> Matrix(41,-2,308,-15) Matrix(217,-270,86,-107) -> Matrix(1,0,-10,1) Matrix(811,-1026,298,-377) -> Matrix(121,-6,1190,-59) Matrix(809,-1026,384,-487) -> Matrix(43,-2,538,-25) Matrix(1403,-1782,596,-757) -> Matrix(83,-4,934,-45) Matrix(593,-756,382,-487) -> Matrix(41,-2,718,-35) Matrix(379,-486,294,-377) -> Matrix(121,-6,2400,-119) Matrix(917,-1188,626,-811) -> Matrix(39,-2,722,-37) Matrix(703,-918,206,-269) -> Matrix(41,-2,308,-15) Matrix(865,-1134,164,-215) -> Matrix(1,0,-14,1) Matrix(757,-1026,318,-431) -> Matrix(75,-4,844,-45) Matrix(2701,-3672,1032,-1403) -> Matrix(73,-4,712,-39) Matrix(2537,-3456,1626,-2215) -> Matrix(37,-2,648,-35) Matrix(2053,-2808,552,-755) -> Matrix(1,0,-12,1) Matrix(433,-594,78,-107) -> Matrix(1,0,-14,1) Matrix(4157,-5778,2526,-3511) -> Matrix(113,-6,1940,-103) Matrix(271,-378,38,-53) -> Matrix(37,-2,130,-7) Matrix(269,-378,116,-163) -> Matrix(37,-2,426,-23) Matrix(649,-918,152,-215) -> Matrix(1,0,-12,1) Matrix(3241,-4644,1356,-1943) -> Matrix(1,0,-4,1) Matrix(2861,-4104,1770,-2539) -> Matrix(39,-2,644,-33) Matrix(1729,-2484,300,-431) -> Matrix(71,-4,302,-17) Matrix(595,-864,334,-485) -> Matrix(33,-2,512,-31) Matrix(593,-864,186,-271) -> Matrix(31,-2,264,-17) Matrix(703,-1080,386,-593) -> Matrix(35,-2,508,-29) Matrix(701,-1080,246,-379) -> Matrix(29,-2,276,-19) Matrix(3673,-5724,1524,-2375) -> Matrix(141,-8,1604,-91) Matrix(8857,-13824,2352,-3671) -> Matrix(139,-8,1060,-61) Matrix(1729,-2700,276,-431) -> Matrix(69,-4,328,-19) Matrix(377,-594,172,-271) -> Matrix(35,-2,438,-25) Matrix(649,-1026,136,-215) -> Matrix(1,0,-12,1) Matrix(973,-1566,402,-647) -> Matrix(67,-4,754,-45) Matrix(3349,-5400,1272,-2051) -> Matrix(1,0,-6,1) Matrix(10153,-16416,3072,-4967) -> Matrix(395,-24,3374,-205) Matrix(2269,-3672,600,-971) -> Matrix(65,-4,504,-31) Matrix(433,-702,66,-107) -> Matrix(1,0,-12,1) Matrix(4429,-7290,918,-1511) -> Matrix(137,-8,668,-39) Matrix(163,-270,32,-53) -> Matrix(33,-2,182,-11) Matrix(1243,-2106,350,-593) -> Matrix(31,-2,264,-17) Matrix(541,-918,254,-431) -> Matrix(63,-4,772,-49) Matrix(919,-1566,348,-593) -> Matrix(31,-2,326,-21) Matrix(3349,-5724,1200,-2051) -> Matrix(191,-12,1926,-121) Matrix(377,-648,32,-55) -> Matrix(31,-2,78,-5) Matrix(595,-1026,156,-269) -> Matrix(29,-2,218,-15) Matrix(1187,-2052,188,-325) -> Matrix(61,-4,290,-19) Matrix(1403,-2430,250,-433) -> Matrix(1,0,-10,1) Matrix(1027,-1782,404,-701) -> Matrix(31,-2,326,-21) Matrix(1025,-1782,218,-379) -> Matrix(29,-2,160,-11) Matrix(215,-378,62,-109) -> Matrix(1,0,-8,1) Matrix(701,-1242,92,-163) -> Matrix(31,-2,16,-1) Matrix(1673,-2970,396,-703) -> Matrix(91,-6,622,-41) Matrix(271,-486,150,-269) -> Matrix(91,-6,1350,-89) Matrix(323,-594,118,-217) -> Matrix(57,-4,556,-39) Matrix(487,-918,200,-377) -> Matrix(89,-6,994,-67) Matrix(971,-2052,256,-541) -> Matrix(151,-12,1120,-89) Matrix(487,-1080,170,-377) -> Matrix(123,-10,1144,-93) Matrix(217,-486,96,-215) -> Matrix(97,-8,1152,-95) Matrix(379,-864,118,-269) -> Matrix(71,-6,580,-49) Matrix(755,-1728,142,-325) -> Matrix(93,-8,500,-43) Matrix(917,-2106,118,-271) -> Matrix(23,-2,196,-17) Matrix(1241,-2862,258,-595) -> Matrix(21,-2,116,-11) Matrix(1079,-2538,230,-541) -> Matrix(91,-8,512,-45) Matrix(595,-1404,114,-269) -> Matrix(23,-2,104,-9) Matrix(1187,-2808,320,-757) -> Matrix(1,0,-4,1) Matrix(2915,-6912,1048,-2485) -> Matrix(1,0,-2,1) Matrix(1997,-4860,422,-1027) -> Matrix(157,-14,886,-79) Matrix(487,-1188,66,-161) -> Matrix(67,-6,190,-17) Matrix(2267,-5778,636,-1621) -> Matrix(43,-4,312,-29) Matrix(4105,-10746,866,-2267) -> Matrix(77,-8,414,-43) Matrix(4537,-11880,1072,-2807) -> Matrix(113,-12,744,-79) Matrix(1565,-4104,474,-1243) -> Matrix(23,-2,196,-17) Matrix(163,-432,20,-53) -> Matrix(21,-2,74,-7) Matrix(1565,-4266,456,-1243) -> Matrix(19,-2,162,-17) Matrix(1241,-3456,330,-919) -> Matrix(21,-2,158,-15) Matrix(269,-756,58,-163) -> Matrix(19,-2,124,-13) Matrix(377,-1188,86,-271) -> Matrix(17,-2,128,-15) Matrix(163,-540,16,-53) -> Matrix(17,-2,26,-3) Matrix(2861,-9828,802,-2755) -> Matrix(15,-2,128,-17) Matrix(2267,-8586,428,-1621) -> Matrix(61,-8,328,-43) Matrix(109,-486,24,-107) -> Matrix(25,-4,144,-23) 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): 108 Degree of the the map X: 108 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 0/1 25 1 1/1 1/26 1 27 10/9 (3/70,1/23) 0 27 9/8 1/23 6 3 8/7 (1/23,3/68) 0 27 15/13 3/67 1 9 7/6 (4/89,1/22) 0 27 13/11 1/22 1 27 19/16 (2/43,1/21) 0 27 25/21 1/22 1 27 6/5 2/43 1 9 29/24 (6/127,1/21) 0 27 23/19 1/20 1 27 17/14 (2/43,3/64) 0 27 11/9 5/106 1 27 27/22 1/21 12 1 16/13 (1/21,7/146) 0 27 21/17 1/21 1 9 5/4 (1/21,2/41) 0 27 19/15 1/20 1 27 52/41 (3/64,1/21) 0 27 33/26 0 9 14/11 (1/21,1/20) 0 27 23/18 (1/21,2/41) 0 27 9/7 1/20 3 3 31/24 (5/99,4/79) 0 27 53/41 17/334 1 27 22/17 (1/20,1/19) 0 27 35/27 3/58 1 27 13/10 (1/20,2/39) 0 27 17/13 1/20 1 27 21/16 0 9 4/3 (1/20,1/19) 0 27 19/14 (1/19,2/37) 0 27 34/25 (1/18,1/17) 0 27 49/36 (0/1,1/17) 0 27 15/11 1/19 1 9 41/30 (0/1,1/18) 0 27 26/19 (1/19,1/18) 0 27 11/8 (1/19,2/37) 0 27 29/21 1/18 1 27 18/13 0/1 1 3 25/18 (0/1,1/19) 0 27 57/41 1/19 1 9 32/23 (1/20,1/19) 0 27 7/5 1/18 1 27 24/17 2/37 1 9 17/12 (2/37,1/18) 0 27 27/19 1/18 3 1 10/7 (1/18,1/17) 0 27 43/30 (0/1,1/13) 0 27 33/23 1/19 1 9 56/39 (5/91,1/18) 0 27 23/16 (2/35,1/17) 0 27 13/9 1/18 1 27 16/11 (1/17,1/16) 0 27 19/13 1/20 1 27 22/15 (1/19,1/18) 0 27 3/2 0 9 20/13 (1/17,1/16) 0 27 17/11 1/20 1 27 31/20 (0/1,1/17) 0 27 14/9 (1/18,1/17) 0 27 53/34 (2/35,1/17) 0 27 39/25 1/17 1 9 103/66 (3/53,2/35) 0 27 64/41 (3/52,1/17) 0 27 25/16 (0/1,1/17) 0 27 11/7 1/16 1 27 30/19 2/35 1 9 19/12 (2/35,1/17) 0 27 27/17 1/17 3 1 8/5 (1/17,1/16) 0 27 29/18 (1/17,2/33) 0 27 50/31 (1/17,1/16) 0 27 21/13 1/17 1 9 97/60 (13/215,2/33) 0 27 76/47 (5/82,3/49) 0 27 55/34 (1/17,2/33) 0 27 34/21 (3/49,1/16) 0 27 13/8 (2/33,1/16) 0 27 31/19 1/16 1 27 18/11 0/1 2 3 23/14 (2/35,1/17) 0 27 51/31 1/17 1 9 79/48 (6/103,1/17) 0 27 28/17 (1/17,5/84) 0 27 5/3 1/16 1 27 27/16 1/16 6 1 22/13 (1/16,5/79) 0 27 39/23 3/47 1 9 17/10 (1/16,2/31) 0 27 29/17 1/16 1 27 41/24 (4/65,1/16) 0 27 53/31 13/206 1 27 12/7 2/31 1 9 55/32 (3/47,2/31) 0 27 43/25 7/108 1 27 31/18 (4/61,1/15) 0 27 19/11 1/16 1 27 64/37 (3/46,1/15) 0 27 45/26 1/15 6 3 26/15 (1/15,1/14) 0 27 33/19 1/15 1 9 7/4 (0/1,1/16) 0 27 23/13 5/78 1 27 39/22 0 9 55/31 17/260 1 27 16/9 (1/16,1/15) 0 27 41/23 3/46 1 27 25/14 (4/61,1/15) 0 27 9/5 1/15 3 3 29/16 (1/15,2/29) 0 27 49/27 5/74 1 27 20/11 (1/15,3/44) 0 27 51/28 0 9 31/17 1/14 1 27 11/6 (2/29,3/43) 0 27 13/7 1/14 1 27 15/8 0 9 2/1 (1/14,1/13) 0 27 19/9 3/38 1 27 17/8 (2/25,1/12) 0 27 15/7 1/13 1 9 13/6 (2/25,1/12) 0 27 24/11 0/1 1 9 11/5 3/38 1 27 31/14 (3/37,4/49) 0 27 20/9 (5/61,1/12) 0 27 9/4 1/12 4 3 34/15 (1/12,3/35) 0 27 59/26 (4/47,3/35) 0 27 25/11 1/12 1 27 16/7 (1/12,3/35) 0 27 55/24 (3/35,2/23) 0 27 39/17 3/35 1 9 62/27 (7/81,9/104) 0 27 23/10 (2/23,5/57) 0 27 53/23 9/100 1 27 30/13 0/1 1 9 7/3 1/12 1 27 40/17 (3/34,1/11) 0 27 33/14 0 9 26/11 (1/11,1/10) 0 27 45/19 1/11 1 3 64/27 (1/12,1/11) 0 27 19/8 (2/23,1/11) 0 27 50/21 (5/56,1/11) 0 27 81/34 1/11 6 1 31/13 1/10 1 27 43/18 (0/1,1/9) 0 27 98/41 (1/14,1/13) 0 27 55/23 5/62 1 27 12/5 2/23 1 9 53/22 (2/23,5/57) 0 27 94/39 (5/57,3/34) 0 27 135/56 3/34 2 1 41/17 3/34 1 27 29/12 (2/23,1/11) 0 27 46/19 (3/34,1/11) 0 27 63/26 1/11 6 3 17/7 3/34 1 27 56/23 (5/56,11/123) 0 27 39/16 0 9 22/9 (9/100,1/11) 0 27 27/11 1/11 11 1 5/2 (1/11,2/21) 0 27 33/13 1/11 1 9 28/11 (1/11,3/32) 0 27 51/20 0 9 23/9 3/32 1 27 18/7 2/21 2 3 31/12 (3/31,4/41) 0 27 13/5 1/10 1 27 47/18 (10/101,1/10) 0 27 81/31 1/10 15 1 34/13 (1/10,5/49) 0 27 89/34 (3/29,2/19) 0 27 144/55 2/19 7 3 55/21 5/46 1 27 76/29 (1/8,1/7) 0 27 21/8 0 9 50/19 (1/11,1/10) 0 27 79/30 (1/11,2/21) 0 27 108/41 2/21 1 1 29/11 1/10 1 27 37/14 (0/1,1/10) 0 27 8/3 (3/31,1/10) 0 27 27/10 1/10 10 1 19/7 1/10 1 27 49/18 (5/49,4/39) 0 27 79/29 1/10 1 27 30/11 4/39 1 9 41/15 1/10 1 27 11/4 (2/19,1/9) 0 27 25/9 1/10 1 27 89/32 (2/19,1/9) 0 27 64/23 (1/10,1/9) 0 27 39/14 0 9 53/19 11/112 1 27 67/24 (16/161,1/10) 0 27 81/29 1/10 21 1 14/5 (1/10,5/49) 0 27 17/6 (5/48,2/19) 0 27 54/19 2/19 8 1 37/13 11/104 1 27 20/7 (5/47,3/28) 0 27 23/8 (2/19,1/9) 0 27 3/1 1/9 1 9 19/6 (5/43,2/17) 0 27 54/17 2/17 7 1 35/11 9/76 1 27 16/5 (3/25,1/8) 0 27 29/9 1/8 1 27 13/4 (1/8,2/15) 0 27 23/7 1/8 1 27 79/24 (6/55,1/9) 0 27 135/41 1/9 13 1 56/17 (1/9,7/62) 0 27 33/10 0 9 76/23 (7/60,9/77) 0 27 119/36 (25/213,2/17) 0 27 162/49 2/17 17 1 43/13 9/76 1 27 10/3 (3/25,1/8) 0 27 27/8 1/8 8 1 17/5 1/8 1 27 41/12 (1/8,4/31) 0 27 24/7 2/15 1 9 79/23 1/8 1 27 55/16 (3/23,2/15) 0 27 31/9 5/38 1 27 7/2 (0/1,1/8) 0 27 39/11 1/7 1 9 32/9 (1/8,3/23) 0 27 57/16 0 9 82/23 (1/8,1/7) 0 27 189/53 1/7 1 1 107/30 (0/1,1/7) 0 27 25/7 1/8 1 27 18/5 2/15 1 3 29/8 (2/15,1/7) 0 27 11/3 3/22 1 27 37/10 (0/1,1/8) 0 27 63/17 1/7 1 3 26/7 (1/7,1/6) 0 27 67/18 (0/1,1/6) 0 27 108/29 0/1 2 1 41/11 1/8 1 27 15/4 0 9 64/17 (1/8,3/23) 0 27 113/30 (7/53,2/15) 0 27 162/43 2/15 5 1 49/13 3/22 1 27 34/9 (1/8,1/7) 0 27 53/14 (3/23,2/15) 0 27 72/19 2/15 7 3 91/24 (2/15,7/52) 0 27 19/5 3/22 1 27 23/6 (6/43,1/7) 0 27 27/7 1/7 7 1 4/1 (1/7,1/6) 0 27 21/5 1/7 1 9 38/9 (1/7,5/34) 0 27 55/13 13/86 1 27 72/17 2/13 7 3 17/4 (2/13,1/6) 0 27 30/7 2/13 1 9 13/3 1/6 1 27 35/8 (0/1,1/5) 0 27 57/13 1/7 1 9 22/5 (1/7,3/20) 0 27 9/2 1/6 2 3 32/7 (3/17,5/28) 0 27 55/12 (2/11,1/5) 0 27 23/5 3/16 1 27 37/8 (0/1,1/4) 0 27 14/3 (1/6,3/17) 0 27 61/13 5/28 1 27 108/23 2/11 4 1 47/10 (2/11,3/16) 0 27 33/7 1/5 1 9 52/11 (1/6,5/29) 0 27 71/15 5/28 1 27 90/19 2/11 7 3 19/4 (2/11,1/5) 0 27 24/5 2/11 1 9 53/11 11/56 1 27 135/28 1/5 24 1 82/17 (1/5,13/64) 0 27 29/6 (1/5,2/9) 0 27 5/1 1/6 1 27 26/5 (1/5,3/14) 0 27 21/4 0 9 37/7 1/6 1 27 90/17 2/11 7 3 53/10 (2/11,1/5) 0 27 16/3 (3/16,1/5) 0 27 27/5 1/5 5 1 11/2 (1/5,2/9) 0 27 28/5 (1/5,1/4) 0 27 45/8 1/5 6 3 17/3 3/14 1 27 23/4 (2/9,3/13) 0 27 52/9 (9/37,1/4) 0 27 81/14 1/4 12 1 29/5 1/4 1 27 6/1 0/1 1 9 25/4 (1/5,4/19) 0 27 44/7 (1/5,1/4) 0 27 19/3 3/14 1 27 13/2 (2/9,1/4) 0 27 20/3 (3/13,1/4) 0 27 27/4 1/4 4 1 7/1 1/4 1 27 22/3 (3/10,1/3) 0 27 15/2 0 9 23/3 -1/2 1 27 54/7 0/1 13 1 31/4 (0/1,1/11) 0 27 8/1 (1/5,1/4) 0 27 17/2 (1/4,2/7) 0 27 9/1 1/3 1 3 10/1 (1/3,1/2) 0 27 11/1 1/6 1 27 1/0 (0/1,1/1) 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) -> (0/1,1/1) Matrix(1,0,2,-1) -> Matrix(1,0,52,-1) (0/1,1/1) -> (0/1,1/26) Matrix(593,-648,248,-271) -> Matrix(47,-2,588,-25) Matrix(917,-1026,530,-593) -> Matrix(139,-6,2108,-91) Matrix(809,-918,334,-379) -> Matrix(137,-6,1530,-67) Matrix(1079,-1242,470,-541) -> Matrix(269,-12,3116,-139) Matrix(325,-378,92,-107) -> Matrix(89,-4,690,-31) Matrix(595,-702,228,-269) -> Matrix(131,-6,1332,-61) Matrix(593,-702,136,-161) -> Matrix(43,-2,236,-11) Matrix(2269,-2700,816,-971) -> Matrix(1,0,-12,1) 0/1 Matrix(271,-324,46,-55) -> Matrix(43,-2,150,-7) Matrix(269,-324,44,-53) -> Matrix(43,-2,236,-11) Matrix(2053,-2484,624,-755) -> Matrix(1,0,-12,1) 0/1 Matrix(1025,-1242,222,-269) -> Matrix(43,-2,236,-11) Matrix(487,-594,132,-161) -> Matrix(43,-2,280,-13) Matrix(485,-594,396,-485) -> Matrix(211,-10,4452,-211) (11/9,27/22) -> (5/106,1/21) Matrix(703,-864,572,-703) -> Matrix(293,-14,6132,-293) (27/22,16/13) -> (1/21,7/146) Matrix(919,-1134,218,-269) -> Matrix(41,-2,308,-15) Matrix(217,-270,86,-107) -> Matrix(1,0,-10,1) 0/1 Matrix(811,-1026,298,-377) -> Matrix(121,-6,1190,-59) Matrix(809,-1026,384,-487) -> Matrix(43,-2,538,-25) Matrix(2809,-3564,852,-1081) -> Matrix(83,-4,726,-35) Matrix(1403,-1782,596,-757) -> Matrix(83,-4,934,-45) Matrix(593,-756,382,-487) -> Matrix(41,-2,718,-35) Matrix(379,-486,294,-377) -> Matrix(121,-6,2400,-119) 1/20 Matrix(2215,-2862,962,-1243) -> Matrix(197,-10,2226,-113) Matrix(4051,-5238,1546,-1999) -> Matrix(39,-2,292,-15) Matrix(917,-1188,626,-811) -> Matrix(39,-2,722,-37) 1/19 Matrix(541,-702,84,-109) -> Matrix(1,0,24,-1) *** -> (0/1,1/12) Matrix(703,-918,206,-269) -> Matrix(41,-2,308,-15) Matrix(865,-1134,164,-215) -> Matrix(1,0,-14,1) 0/1 Matrix(863,-1134,328,-431) -> Matrix(1,0,30,-1) *** -> (0/1,1/15) Matrix(757,-1026,318,-431) -> Matrix(75,-4,844,-45) Matrix(2701,-3672,1032,-1403) -> Matrix(73,-4,712,-39) Matrix(2699,-3672,1190,-1619) -> Matrix(71,-4,834,-47) Matrix(2537,-3456,1626,-2215) -> Matrix(37,-2,648,-35) 1/18 Matrix(593,-810,276,-377) -> Matrix(37,-2,462,-25) Matrix(2053,-2808,552,-755) -> Matrix(1,0,-12,1) 0/1 Matrix(433,-594,78,-107) -> Matrix(1,0,-14,1) 0/1 Matrix(431,-594,156,-215) -> Matrix(1,0,28,-1) *** -> (0/1,1/14) Matrix(703,-972,196,-271) -> Matrix(35,-2,262,-15) Matrix(701,-972,194,-269) -> Matrix(39,-2,292,-15) Matrix(4157,-5778,2526,-3511) -> Matrix(113,-6,1940,-103) Matrix(2213,-3078,504,-701) -> Matrix(37,-2,240,-13) Matrix(271,-378,38,-53) -> Matrix(37,-2,130,-7) Matrix(269,-378,116,-163) -> Matrix(37,-2,426,-23) Matrix(649,-918,152,-215) -> Matrix(1,0,-12,1) 0/1 Matrix(647,-918,456,-647) -> Matrix(73,-4,1332,-73) (17/12,27/19) -> (2/37,1/18) Matrix(379,-540,266,-379) -> Matrix(35,-2,612,-35) (27/19,10/7) -> (1/18,1/17) Matrix(3241,-4644,1356,-1943) -> Matrix(1,0,-4,1) 0/1 Matrix(2861,-4104,1770,-2539) -> Matrix(39,-2,644,-33) Matrix(2483,-3564,526,-755) -> Matrix(1,0,24,-1) *** -> (0/1,1/12) Matrix(1729,-2484,300,-431) -> Matrix(71,-4,302,-17) Matrix(487,-702,188,-271) -> Matrix(37,-2,388,-21) Matrix(595,-864,334,-485) -> Matrix(33,-2,512,-31) 1/16 Matrix(593,-864,186,-271) -> Matrix(31,-2,264,-17) Matrix(919,-1350,258,-379) -> Matrix(35,-2,262,-15) Matrix(703,-1080,386,-593) -> Matrix(35,-2,508,-29) Matrix(701,-1080,246,-379) -> Matrix(29,-2,276,-19) Matrix(593,-918,104,-161) -> Matrix(37,-2,166,-9) Matrix(3673,-5724,1524,-2375) -> Matrix(141,-8,1604,-91) Matrix(2701,-4212,1178,-1837) -> Matrix(71,-4,834,-47) Matrix(8857,-13824,2352,-3671) -> Matrix(139,-8,1060,-61) Matrix(1729,-2700,276,-431) -> Matrix(69,-4,328,-19) Matrix(379,-594,104,-163) -> Matrix(35,-2,262,-15) Matrix(377,-594,172,-271) -> Matrix(35,-2,438,-25) Matrix(649,-1026,136,-215) -> Matrix(1,0,-12,1) 0/1 Matrix(647,-1026,408,-647) -> Matrix(69,-4,1190,-69) (19/12,27/17) -> (2/35,1/17) Matrix(271,-432,170,-271) -> Matrix(33,-2,544,-33) (27/17,8/5) -> (1/17,1/16) Matrix(973,-1566,402,-647) -> Matrix(67,-4,754,-45) Matrix(3349,-5400,1272,-2051) -> Matrix(1,0,-6,1) 0/1 Matrix(703,-1134,168,-271) -> Matrix(33,-2,214,-13) Matrix(10153,-16416,3072,-4967) -> Matrix(395,-24,3374,-205) Matrix(3673,-5940,802,-1297) -> Matrix(1,0,22,-1) *** -> (0/1,1/11) Matrix(2269,-3672,600,-971) -> Matrix(65,-4,504,-31) Matrix(433,-702,66,-107) -> Matrix(1,0,-12,1) 0/1 Matrix(431,-702,132,-215) -> Matrix(1,0,24,-1) *** -> (0/1,1/12) Matrix(595,-972,232,-379) -> Matrix(29,-2,304,-21) Matrix(593,-972,230,-377) -> Matrix(37,-2,388,-21) Matrix(755,-1242,262,-431) -> Matrix(69,-4,638,-37) Matrix(4429,-7290,918,-1511) -> Matrix(137,-8,668,-39) Matrix(163,-270,32,-53) -> Matrix(33,-2,182,-11) Matrix(161,-270,96,-161) -> Matrix(33,-2,544,-33) (5/3,27/16) -> (1/17,1/16) Matrix(703,-1188,416,-703) -> Matrix(159,-10,2528,-159) (27/16,22/13) -> (1/16,5/79) Matrix(1243,-2106,350,-593) -> Matrix(31,-2,264,-17) Matrix(541,-918,254,-431) -> Matrix(63,-4,772,-49) Matrix(919,-1566,348,-593) -> Matrix(31,-2,326,-21) Matrix(917,-1566,284,-485) -> Matrix(33,-2,280,-17) Matrix(3349,-5724,1200,-2051) -> Matrix(191,-12,1926,-121) Matrix(757,-1296,316,-541) -> Matrix(63,-4,740,-47) Matrix(755,-1296,314,-539) -> Matrix(61,-4,686,-45) Matrix(377,-648,32,-55) -> Matrix(31,-2,78,-5) Matrix(973,-1674,440,-757) -> Matrix(123,-8,1522,-99) Matrix(595,-1026,156,-269) -> Matrix(29,-2,218,-15) Matrix(1187,-2052,188,-325) -> Matrix(61,-4,290,-19) Matrix(1403,-2430,250,-433) -> Matrix(1,0,-10,1) 0/1 Matrix(1027,-1782,404,-701) -> Matrix(31,-2,326,-21) Matrix(1025,-1782,218,-379) -> Matrix(29,-2,160,-11) Matrix(215,-378,62,-109) -> Matrix(1,0,-8,1) 0/1 Matrix(701,-1242,92,-163) -> Matrix(31,-2,16,-1) Matrix(2375,-4212,852,-1511) -> Matrix(123,-8,1276,-83) Matrix(1673,-2970,396,-703) -> Matrix(91,-6,622,-41) Matrix(1241,-2214,514,-917) -> Matrix(91,-6,1016,-67) Matrix(271,-486,150,-269) -> Matrix(91,-6,1350,-89) 1/15 Matrix(863,-1566,178,-323) -> Matrix(59,-4,280,-19) Matrix(1457,-2646,386,-701) -> Matrix(29,-2,188,-13) Matrix(1511,-2754,592,-1079) -> Matrix(59,-4,634,-43) Matrix(917,-1674,384,-701) -> Matrix(29,-2,304,-21) Matrix(323,-594,118,-217) -> Matrix(57,-4,556,-39) Matrix(433,-810,116,-217) -> Matrix(1,0,22,-1) *** -> (0/1,1/11) Matrix(487,-918,200,-377) -> Matrix(89,-6,994,-67) Matrix(971,-2052,256,-541) -> Matrix(151,-12,1120,-89) Matrix(595,-1296,174,-379) -> Matrix(23,-2,172,-15) Matrix(487,-1080,170,-377) -> Matrix(123,-10,1144,-93) Matrix(217,-486,96,-215) -> Matrix(97,-8,1152,-95) 1/12 Matrix(2593,-5886,952,-2161) -> Matrix(95,-8,938,-79) Matrix(379,-864,118,-269) -> Matrix(71,-6,580,-49) Matrix(755,-1728,142,-325) -> Matrix(93,-8,500,-43) Matrix(917,-2106,118,-271) -> Matrix(23,-2,196,-17) Matrix(1241,-2862,258,-595) -> Matrix(21,-2,116,-11) Matrix(1079,-2538,230,-541) -> Matrix(91,-8,512,-45) Matrix(595,-1404,114,-269) -> Matrix(23,-2,104,-9) Matrix(1187,-2808,320,-757) -> Matrix(1,0,-4,1) 0/1 Matrix(433,-1026,46,-109) -> Matrix(1,0,14,-1) *** -> (0/1,1/7) Matrix(2915,-6912,1048,-2485) -> Matrix(1,0,-2,1) 0/1 Matrix(3401,-8100,1428,-3401) -> Matrix(111,-10,1232,-111) (50/21,81/34) -> (5/56,1/11) Matrix(2107,-5022,884,-2107) -> Matrix(21,-2,220,-21) (81/34,31/13) -> (1/11,1/10) Matrix(10529,-25380,4368,-10529) -> Matrix(341,-30,3876,-341) (94/39,135/56) -> (5/57,3/34) Matrix(4591,-11070,1904,-4591) -> Matrix(67,-6,748,-67) (135/56,41/17) -> (3/34,1/11) Matrix(757,-1836,134,-325) -> Matrix(1,0,16,-1) *** -> (0/1,1/8) Matrix(1997,-4860,422,-1027) -> Matrix(157,-14,886,-79) Matrix(487,-1188,66,-161) -> Matrix(67,-6,190,-17) Matrix(485,-1188,198,-485) -> Matrix(199,-18,2200,-199) (22/9,27/11) -> (9/100,1/11) Matrix(109,-270,44,-109) -> Matrix(43,-4,462,-43) (27/11,5/2) -> (1/11,2/21) Matrix(2267,-5778,636,-1621) -> Matrix(43,-4,312,-29) Matrix(2915,-7614,1116,-2915) -> Matrix(201,-20,2020,-201) (47/18,81/31) -> (10/101,1/10) Matrix(2107,-5508,806,-2107) -> Matrix(99,-10,980,-99) (81/31,34/13) -> (1/10,5/49) Matrix(4105,-10746,866,-2267) -> Matrix(77,-8,414,-43) Matrix(4537,-11880,1072,-2807) -> Matrix(113,-12,744,-79) Matrix(1565,-4104,474,-1243) -> Matrix(23,-2,196,-17) Matrix(6479,-17064,2460,-6479) -> Matrix(43,-4,462,-43) (79/30,108/41) -> (1/11,2/21) Matrix(2377,-6264,902,-2377) -> Matrix(41,-4,420,-41) (108/41,29/11) -> (2/21,1/10) Matrix(163,-432,20,-53) -> Matrix(21,-2,74,-7) Matrix(161,-432,60,-161) -> Matrix(61,-6,620,-61) (8/3,27/10) -> (3/31,1/10) Matrix(379,-1026,140,-379) -> Matrix(139,-14,1380,-139) (27/10,19/7) -> (1/10,7/69) Matrix(1565,-4266,456,-1243) -> Matrix(19,-2,162,-17) 1/9 Matrix(593,-1620,138,-377) -> Matrix(19,-2,104,-11) Matrix(1241,-3456,330,-919) -> Matrix(21,-2,158,-15) Matrix(3887,-10854,1392,-3887) -> Matrix(321,-32,3220,-321) (67/24,81/29) -> (16/161,1/10) Matrix(811,-2268,290,-811) -> Matrix(99,-10,980,-99) (81/29,14/5) -> (1/10,5/49) Matrix(269,-756,58,-163) -> Matrix(19,-2,124,-13) Matrix(647,-1836,228,-647) -> Matrix(191,-20,1824,-191) (17/6,54/19) -> (5/48,2/19) Matrix(1405,-3996,494,-1405) -> Matrix(417,-44,3952,-417) (54/19,37/13) -> (2/19,11/104) Matrix(377,-1188,86,-271) -> Matrix(17,-2,128,-15) 1/8 Matrix(647,-2052,204,-647) -> Matrix(171,-20,1462,-171) (19/6,54/17) -> (5/43,2/17) Matrix(1189,-3780,374,-1189) -> Matrix(305,-36,2584,-305) (54/17,35/11) -> (2/17,9/76) Matrix(6479,-21330,1968,-6479) -> Matrix(109,-12,990,-109) (79/24,135/41) -> (6/55,1/9) Matrix(4591,-15120,1394,-4591) -> Matrix(125,-14,1116,-125) (135/41,56/17) -> (1/9,7/62) Matrix(11663,-38556,3528,-11663) -> Matrix(851,-100,7242,-851) (119/36,162/49) -> (25/213,2/17) Matrix(4213,-13932,1274,-4213) -> Matrix(305,-36,2584,-305) (162/49,43/13) -> (2/17,9/76) Matrix(163,-540,16,-53) -> Matrix(17,-2,26,-3) Matrix(161,-540,48,-161) -> Matrix(49,-6,400,-49) (10/3,27/8) -> (3/25,1/8) Matrix(271,-918,80,-271) -> Matrix(79,-10,624,-79) (27/8,17/5) -> (1/8,5/39) Matrix(2861,-9828,802,-2755) -> Matrix(15,-2,128,-17) 1/8 Matrix(863,-2970,188,-647) -> Matrix(31,-4,178,-23) Matrix(8693,-30996,2438,-8693) -> Matrix(15,-2,112,-15) (82/23,189/53) -> (1/8,1/7) Matrix(11341,-40446,3180,-11341) -> Matrix(1,0,14,-1) (189/53,107/30) -> (0/1,1/7) Matrix(379,-1404,44,-163) -> Matrix(15,-2,52,-7) Matrix(3887,-14472,1044,-3887) -> Matrix(1,0,12,-1) (67/18,108/29) -> (0/1,1/6) Matrix(2377,-8856,638,-2377) -> Matrix(1,0,16,-1) (108/29,41/11) -> (0/1,1/8) Matrix(9719,-36612,2580,-9719) -> Matrix(211,-28,1590,-211) (113/30,162/43) -> (7/53,2/15) Matrix(4213,-15876,1118,-4213) -> Matrix(89,-12,660,-89) (162/43,49/13) -> (2/15,3/22) Matrix(2267,-8586,428,-1621) -> Matrix(61,-8,328,-43) Matrix(2051,-7776,484,-1835) -> Matrix(119,-16,766,-103) Matrix(323,-1242,84,-323) -> Matrix(85,-12,602,-85) (23/6,27/7) -> (6/43,1/7) Matrix(55,-216,14,-55) -> Matrix(13,-2,84,-13) (27/7,4/1) -> (1/7,1/6) Matrix(109,-486,24,-107) -> Matrix(25,-4,144,-23) 1/6 Matrix(2807,-13176,598,-2807) -> Matrix(111,-20,616,-111) (61/13,108/23) -> (5/28,2/11) Matrix(2161,-10152,460,-2161) -> Matrix(65,-12,352,-65) (108/23,47/10) -> (2/11,3/16) Matrix(2053,-9720,388,-1837) -> Matrix(67,-12,374,-67) *** -> (3/17,2/11) Matrix(2969,-14310,616,-2969) -> Matrix(111,-22,560,-111) (53/11,135/28) -> (11/56,1/5) Matrix(4591,-22140,952,-4591) -> Matrix(129,-26,640,-129) (135/28,82/17) -> (1/5,13/64) Matrix(161,-864,30,-161) -> Matrix(31,-6,160,-31) (16/3,27/5) -> (3/16,1/5) Matrix(109,-594,20,-109) -> Matrix(19,-4,90,-19) (27/5,11/2) -> (1/5,2/9) Matrix(1457,-8424,252,-1457) -> Matrix(73,-18,296,-73) (52/9,81/14) -> (9/37,1/4) Matrix(811,-4698,140,-811) -> Matrix(23,-6,88,-23) (81/14,29/5) -> (1/4,3/11) Matrix(161,-1080,24,-161) -> Matrix(25,-6,104,-25) (20/3,27/4) -> (3/13,1/4) Matrix(55,-378,8,-55) -> Matrix(7,-2,24,-7) (27/4,7/1) -> (1/4,1/3) Matrix(323,-2484,42,-323) -> Matrix(-1,0,4,1) (23/3,54/7) -> (-1/2,0/1) Matrix(433,-3348,56,-433) -> Matrix(1,0,22,-1) (54/7,31/4) -> (0/1,1/11) ----------------------------------------------------------------------- The pullback map was not drawn because it is too complicated.