INFORMATION ON THE IMAGE IN PSL(2,Z) OF THE GROUP OF PURE MODULAR GROUP LIFTABLES UNDER ITS PULLBACK ACTION ON THE UPPER HALF-PLANE Index in PSL(2,Z): 2160 Minimal number of generators: 361 Number of equivalence classes of cusps: 90 Genus: 136 REPRESENTATIVES OF THE CUSP EQUIVALENCE CLASSSES -10/1 -8/1 -19/3 -6/1 -16/3 -14/3 -4/1 -19/5 -18/5 -19/7 -19/9 -2/1 -19/11 -57/37 -19/13 -19/15 -19/17 0/1 1/1 19/17 38/33 19/16 38/31 19/15 114/89 38/29 19/14 38/27 19/13 3/2 19/12 38/23 19/11 38/21 2/1 19/9 15/7 19/8 12/5 95/39 5/2 19/7 418/153 114/41 57/20 3/1 19/6 76/23 37/11 38/11 7/2 18/5 76/21 11/3 152/41 19/5 4/1 21/5 38/9 13/3 31/7 9/2 41/9 114/25 14/3 33/7 19/4 5/1 16/3 27/5 38/7 11/2 17/3 57/10 29/5 6/1 19/3 13/2 7/1 15/2 38/5 23/3 8/1 25/3 17/2 26/3 9/1 19/2 10/1 1/0 CUSPS AT THE FUNDAMENTAL DOMAIN AND THEIR IMAGES UNDER THE PULLBACK MAP CUSP IMAGE PSEUDOIMAGES -10/1 1/1 -19/2 1/1 -9/1 1/1 3/2 -17/2 5/3 -8/1 3/1 -7/1 0/1 1/0 -13/2 1/1 -19/3 1/1 -6/1 1/1 -29/5 2/1 3/1 -23/4 3/1 -17/3 2/1 1/0 -11/2 5/1 -38/7 1/0 -27/5 -9/1 1/0 -16/3 -1/1 -5/1 0/1 1/0 -19/4 0/1 -33/7 0/1 1/1 -47/10 1/1 -61/13 0/1 1/0 -14/3 1/1 -37/8 1/1 -23/5 -1/1 1/0 -32/7 -1/1 -9/2 1/1 -40/9 1/1 -31/7 2/1 1/0 -53/12 3/1 -75/17 2/1 1/0 -22/5 3/1 -13/3 1/1 1/0 -4/1 -1/1 -19/5 0/1 -34/9 1/5 -49/13 1/5 1/4 -15/4 1/3 -41/11 0/1 1/0 -26/7 1/3 -63/17 1/2 3/5 -37/10 1/1 -11/3 0/1 1/2 -18/5 1/1 -61/17 3/2 2/1 -43/12 1/1 -68/19 3/1 -25/7 2/1 1/0 -32/9 1/1 -39/11 1/1 1/0 -7/2 1/1 -38/11 1/0 -31/9 -4/1 1/0 -24/7 -1/1 -17/5 0/1 1/0 -27/8 -3/1 -37/11 -1/1 1/0 -10/3 -1/1 -23/7 -1/1 -1/2 -36/11 -1/1 -49/15 -1/1 -1/2 -13/4 -1/1 -29/9 -2/5 -1/3 -45/14 -1/5 -16/5 -1/5 -19/6 0/1 -3/1 0/1 1/1 -23/8 1/1 -20/7 1/1 -17/6 -1/1 -31/11 2/1 1/0 -14/5 -1/1 -39/14 -1/1 -64/23 -1/1 -153/55 -1/2 0/1 -89/32 -1/3 -114/41 0/1 -25/9 0/1 1/0 -61/22 1/1 -36/13 -1/1 -11/4 -1/3 -19/7 0/1 -27/10 1/7 -35/13 0/1 1/6 -43/16 1/5 -8/3 1/3 -45/17 0/1 1/4 -37/14 1/3 -29/11 1/3 2/5 -21/8 3/7 -34/13 3/5 -13/5 1/2 1/1 -31/12 3/5 -111/43 2/3 3/4 -80/31 1/1 -49/19 3/4 1/1 -18/7 1/1 -41/16 -1/1 -23/9 1/2 1/1 -28/11 1/1 -5/2 1/1 -27/11 5/1 1/0 -22/9 -3/1 -61/25 -2/1 -3/2 -39/16 -1/1 -17/7 -1/2 0/1 -46/19 -1/1 -29/12 -1/1 -70/29 -1/3 -41/17 0/1 1/2 -12/5 -1/1 -43/18 -1/3 -117/49 -1/2 0/1 -191/80 -1/1 -74/31 -1/3 -31/13 -1/4 0/1 -19/8 0/1 -7/3 0/1 1/2 -30/13 3/7 -23/10 3/5 -39/17 1/2 1/1 -16/7 1/1 -41/18 3/5 -66/29 3/5 -25/11 1/2 2/3 -34/15 1/1 -111/49 2/3 3/4 -77/34 1/1 -43/19 2/3 1/1 -9/4 1/1 -20/9 1/1 -11/5 2/1 1/0 -13/6 -1/1 -28/13 1/1 -15/7 0/1 1/0 -17/8 1/1 -19/9 0/1 -2/1 1/1 -13/7 1/1 1/0 -37/20 -1/1 -61/33 0/1 1/0 -24/13 -1/1 -11/6 1/1 -20/11 1/1 -49/27 3/4 1/1 -78/43 1/1 -29/16 1/1 -38/21 1/1 -9/5 1/1 3/2 -16/9 3/1 -39/22 3/1 -23/13 5/1 1/0 -76/43 1/0 -53/30 -5/1 -30/17 1/1 -7/4 1/1 -19/11 1/0 -31/18 -5/1 -74/43 -3/1 -43/25 -3/1 -2/1 -55/32 -3/1 -12/7 -1/1 -53/31 -1/1 1/0 -41/24 -1/3 -152/89 0/1 -111/65 0/1 1/8 -70/41 1/3 -29/17 0/1 1/1 -17/10 -1/1 -56/33 1/1 -95/56 1/0 -39/23 1/1 1/0 -22/13 1/1 -5/3 0/1 1/0 -38/23 0/1 -33/20 1/1 -61/37 0/1 1/0 -28/17 1/1 -51/31 0/1 1/0 -23/14 -1/1 -41/25 0/1 1/2 -18/11 1/1 -49/30 1/1 -80/49 1/1 -111/68 1/1 -31/19 0/1 1/0 -75/46 1/1 -119/73 0/1 1/1 -44/27 1/1 -57/35 1/1 -13/8 1/1 -47/29 3/1 4/1 -81/50 3/1 -115/71 3/1 1/0 -149/92 3/1 -34/21 3/1 -55/34 9/1 -76/47 1/0 -21/13 -2/1 1/0 -50/31 1/1 -129/80 1/1 -79/49 0/1 1/1 -108/67 1/1 -29/18 1/1 -95/59 1/0 -66/41 1/1 -37/23 1/1 1/0 -45/28 1/1 -8/5 1/1 -43/27 3/1 4/1 -78/49 3/1 -191/120 5/1 -304/191 1/0 -113/71 3/1 1/0 -35/22 3/1 -62/39 5/1 -151/95 4/1 1/0 -89/56 5/1 -27/17 5/1 1/0 -19/12 1/0 -11/7 -2/1 1/0 -25/16 1/1 -39/25 -1/1 1/0 -14/9 -1/1 -17/11 -2/1 1/0 -37/24 -1/1 -57/37 -1/1 -20/13 -1/1 -3/2 1/1 -19/13 1/0 -35/24 -5/1 -16/11 -3/1 -13/9 -1/1 1/0 -36/25 -1/1 -95/66 1/0 -59/41 -2/1 1/0 -23/16 -1/1 -33/23 -4/3 -1/1 -76/53 -1/1 -43/30 -1/1 -10/7 -1/1 -57/40 -1/1 -47/33 -1/1 -4/5 -37/26 -1/1 -64/45 -1/1 -91/64 -1/1 -27/19 -3/5 -1/2 -71/50 -1/3 -115/81 -1/2 -1/3 -44/31 -1/3 -105/74 -1/3 -61/43 -1/2 0/1 -17/12 -1/3 -75/53 -1/2 0/1 -133/94 -1/2 -58/41 -1/3 -41/29 -1/2 0/1 -65/46 -1/1 -24/17 -1/3 -79/56 -1/5 -55/39 -1/6 0/1 -86/61 -1/7 -31/22 -1/9 -38/27 0/1 -7/5 0/1 1/2 -25/18 1/1 -43/31 2/3 1/1 -61/44 1/1 -18/13 1/1 -47/34 1/1 -76/55 1/1 -29/21 1/1 6/5 -69/50 7/5 -40/29 1/1 -11/8 3/1 -37/27 1/1 1/0 -63/46 3/1 -152/111 1/0 -89/65 -3/1 1/0 -26/19 1/1 -93/68 -1/1 -67/49 1/1 1/0 -41/30 1/1 -97/71 0/1 1/2 -56/41 1/1 -15/11 2/1 1/0 -19/14 1/0 -23/17 -3/1 1/0 -50/37 -3/1 -27/20 -1/1 -4/3 -1/1 -25/19 -1/2 0/1 -46/35 -1/1 -21/16 -1/5 -38/29 0/1 -17/13 0/1 1/4 -30/23 1/3 -43/33 2/3 1/1 -13/10 1/1 -48/37 -1/1 -83/64 1/1 -35/27 -1/2 0/1 -57/44 0/1 -22/17 1/3 -9/7 1/1 1/0 -41/32 1/1 -114/89 1/1 -73/57 1/1 2/1 -32/25 1/1 -87/68 3/1 -55/43 2/1 1/0 -133/104 1/0 -78/61 1/1 -23/18 3/1 -37/29 1/1 1/0 -14/11 1/1 -19/15 1/0 -24/19 -3/1 -77/61 -2/1 1/0 -53/42 -1/1 -29/23 -2/1 -1/1 -5/4 -1/1 -26/21 1/1 -21/17 -2/1 1/0 -58/47 -1/1 -95/77 -1/1 -37/30 -1/1 -16/13 -1/1 -75/61 -1/2 0/1 -59/48 -1/3 -43/35 -1/3 0/1 -70/57 -1/3 -27/22 -1/5 -38/31 0/1 -11/9 0/1 1/2 -39/32 1/1 -28/23 1/1 -73/60 1/1 -45/37 2/1 1/0 -17/14 -1/1 -57/47 0/1 -40/33 1/1 -23/19 1/1 1/0 -6/5 1/1 -25/21 2/1 1/0 -19/16 1/0 -13/11 -1/1 1/0 -7/6 1/1 -22/19 1/1 -15/13 -1/2 0/1 -38/33 0/1 -23/20 1/3 -31/27 0/1 1/2 -8/7 1/1 -9/8 1/1 -19/17 1/0 -10/9 -1/1 -21/19 0/1 1/0 -11/10 1/1 -12/11 -1/1 -1/1 0/1 1/0 0/1 0/1 1/1 0/1 1/2 11/10 1/1 10/9 1/3 19/17 1/2 9/8 1/1 8/7 1/1 23/20 -1/1 38/33 0/1 15/13 0/1 1/4 22/19 1/1 7/6 1/1 13/11 1/3 1/2 19/16 1/2 6/5 1/1 23/19 1/2 1/1 17/14 1/3 28/23 1/1 11/9 0/1 1/0 38/31 0/1 27/22 1/7 70/57 1/5 43/35 0/1 1/5 16/13 1/3 21/17 2/5 1/2 5/4 1/3 19/15 1/2 33/26 3/5 47/37 3/5 2/3 14/11 1/1 37/29 1/2 1/1 23/18 3/5 55/43 1/2 2/3 87/68 3/5 32/25 1/1 73/57 2/3 1/1 114/89 1/1 41/32 1/1 9/7 1/2 1/1 13/10 1/1 30/23 -1/1 17/13 -1/2 0/1 38/29 0/1 21/16 1/7 4/3 1/3 27/20 1/3 23/17 3/7 1/2 19/14 1/2 15/11 1/2 2/3 56/41 1/1 97/71 0/1 1/0 41/30 1/1 67/49 1/2 1/1 26/19 1/1 37/27 1/2 1/1 11/8 3/5 40/29 1/1 69/50 7/9 29/21 6/7 1/1 18/13 1/1 43/31 1/1 2/1 68/49 -1/1 25/18 1/1 7/5 0/1 1/0 38/27 0/1 31/22 1/11 86/61 1/9 141/100 1/7 55/39 0/1 1/8 24/17 1/5 41/29 0/1 1/4 17/12 1/5 61/43 0/1 1/4 105/74 1/5 44/31 1/5 27/19 1/4 3/11 64/45 1/3 37/26 1/3 10/7 1/3 33/23 1/3 4/11 56/39 1/3 23/16 1/3 13/9 1/3 1/2 16/11 3/7 19/13 1/2 3/2 1/1 20/13 1/3 17/11 2/5 1/2 14/9 1/3 39/25 1/3 1/2 64/41 1/3 25/16 1/1 11/7 2/5 1/2 19/12 1/2 27/17 1/2 5/9 62/39 5/9 97/61 4/7 7/12 35/22 3/5 43/27 4/7 3/5 8/5 1/1 37/23 1/2 1/1 29/18 1/1 108/67 1/1 79/49 0/1 1/1 50/31 1/1 21/13 2/5 1/2 34/21 3/5 115/71 1/2 3/5 81/50 3/5 47/29 4/7 3/5 13/8 1/1 44/27 1/1 119/73 0/1 1/1 75/46 1/1 31/19 0/1 1/2 18/11 1/1 77/47 0/1 1/0 59/36 1/1 41/25 0/1 1/0 23/14 1/3 51/31 0/1 1/2 28/17 1/1 33/20 1/1 38/23 0/1 5/3 0/1 1/2 22/13 1/1 39/23 1/2 1/1 17/10 1/3 29/17 0/1 1/1 70/41 -1/1 41/24 1/5 12/7 1/3 19/11 1/2 26/15 5/9 59/34 3/5 92/53 5/9 33/19 4/7 3/5 73/42 3/5 113/65 1/2 3/5 40/23 3/5 7/4 1/1 37/21 1/2 1/1 30/17 1/1 23/13 1/2 5/9 39/22 3/5 94/53 3/5 55/31 8/13 5/8 16/9 3/5 41/23 2/3 7/10 107/60 1/1 66/37 5/7 25/14 1/1 9/5 3/4 1/1 38/21 1/1 29/16 1/1 20/11 1/1 31/17 2/1 1/0 73/40 1/1 115/63 1/1 1/0 42/23 1/1 11/6 1/1 24/13 1/3 37/20 1/3 13/7 1/2 1/1 15/8 1/1 2/1 1/1 19/9 0/1 17/8 1/1 15/7 0/1 1/2 28/13 1/1 13/6 1/3 11/5 1/2 2/3 9/4 1/1 43/19 1/1 2/1 77/34 1/1 34/15 1/1 59/26 7/3 25/11 2/1 1/0 66/29 3/1 41/18 3/1 57/25 1/0 16/7 1/1 39/17 1/1 1/0 23/10 3/1 7/3 0/1 1/0 19/8 0/1 31/13 0/1 1/6 74/31 1/5 43/18 1/5 55/23 2/9 1/4 12/5 1/3 41/17 0/1 1/0 29/12 1/3 46/19 1/3 17/7 0/1 1/4 56/23 1/3 95/39 1/3 134/55 1/3 39/16 1/3 100/41 1/3 61/25 3/8 2/5 22/9 3/7 27/11 1/2 5/9 32/13 1/1 5/2 1/1 23/9 1/1 1/0 87/34 -1/1 151/59 0/1 1/0 64/25 1/1 41/16 1/3 18/7 1/1 67/26 1/1 49/19 1/1 3/2 80/31 1/1 191/74 1/1 111/43 3/2 2/1 31/12 3/1 13/5 1/1 1/0 21/8 -3/1 29/11 -2/1 -1/1 95/36 -1/1 66/25 -1/1 37/14 -1/1 45/17 -1/2 0/1 8/3 -1/1 19/7 0/1 30/11 1/9 71/26 1/7 112/41 1/7 265/97 1/7 1/6 418/153 1/6 153/56 1/5 41/15 0/1 1/6 52/19 1/7 11/4 1/5 36/13 1/3 97/35 0/1 1/2 61/22 1/1 25/9 0/1 1/2 114/41 0/1 89/32 1/5 153/55 0/1 1/4 64/23 1/3 39/14 1/3 14/5 1/3 31/11 1/2 2/3 79/28 1/1 48/17 1/1 17/6 1/3 37/13 1/2 1/1 57/20 1/2 77/27 1/2 2/3 20/7 1/1 23/8 1/1 26/9 1/1 3/1 0/1 1/1 19/6 0/1 35/11 0/1 1/12 16/5 1/7 45/14 1/7 29/9 1/5 2/9 13/4 1/3 75/23 0/1 1/4 62/19 1/3 49/15 1/4 1/3 36/11 1/3 95/29 0/1 59/18 1/5 23/7 1/4 1/3 33/10 1/3 76/23 1/3 43/13 1/3 4/11 10/3 1/3 57/17 1/2 47/14 1/3 37/11 1/3 1/2 27/8 3/7 17/5 0/1 1/2 24/7 1/3 31/9 4/9 1/2 38/11 1/2 7/2 1/1 39/11 1/2 1/1 71/20 1/1 32/9 1/1 57/16 1/2 25/7 1/2 2/3 68/19 3/5 43/12 1/1 104/29 1/1 61/17 2/3 3/4 18/5 1/1 47/13 8/9 1/1 76/21 1/1 29/8 1/1 11/3 0/1 1/0 48/13 1/1 37/10 1/1 63/17 3/1 1/0 152/41 1/0 89/24 -3/1 26/7 -1/1 41/11 0/1 1/2 15/4 -1/1 19/5 0/1 23/6 1/5 50/13 1/5 27/7 1/4 1/3 4/1 1/3 21/5 6/13 1/2 38/9 1/2 17/4 5/9 13/3 1/2 1/1 22/5 3/5 97/22 1/1 75/17 1/2 2/3 53/12 3/5 84/19 1/1 31/7 1/2 2/3 40/9 1/1 49/11 3/4 1/1 9/2 1/1 41/9 -1/2 0/1 114/25 0/1 73/16 1/9 32/7 1/3 23/5 1/3 1/2 37/8 1/1 14/3 1/1 61/13 0/1 1/2 47/10 1/1 33/7 0/1 1/1 19/4 0/1 5/1 0/1 1/2 16/3 1/3 27/5 9/19 1/2 38/7 1/2 11/2 5/9 17/3 1/2 2/3 57/10 1/2 97/17 1/2 4/7 40/7 3/5 23/4 3/5 75/13 1/2 2/3 52/9 1/1 29/5 3/5 2/3 6/1 1/1 19/3 1/1 32/5 1/1 13/2 1/1 7/1 0/1 1/2 15/2 3/7 38/5 1/2 23/3 1/2 7/13 8/1 3/5 25/3 1/2 2/3 17/2 5/7 26/3 1/1 9/1 3/4 1/1 19/2 1/1 10/1 1/1 1/0 1/1 GENERATING SET ASSOCIATED TO THE FUNDAMENTAL DOMAIN GENERATOR EDGE PAIRING TYPE Matrix(37,418,10,113) (-10/1,1/0) -> (48/13,37/10) Hyperbolic Matrix(227,2204,86,835) (-10/1,-19/2) -> (95/36,66/25) Hyperbolic Matrix(37,342,4,37) (-19/2,-9/1) -> (9/1,19/2) Hyperbolic Matrix(227,1976,-166,-1445) (-9/1,-17/2) -> (-93/68,-67/49) Hyperbolic Matrix(113,950,-86,-723) (-17/2,-8/1) -> (-46/35,-21/16) Hyperbolic Matrix(37,266,-16,-115) (-8/1,-7/1) -> (-7/3,-30/13) Hyperbolic Matrix(39,266,28,191) (-7/1,-13/2) -> (25/18,7/5) Hyperbolic Matrix(153,988,-94,-607) (-13/2,-19/3) -> (-57/35,-13/8) Hyperbolic Matrix(189,1178,-116,-723) (-19/3,-6/1) -> (-44/27,-57/35) Hyperbolic Matrix(379,2204,222,1291) (-6/1,-29/5) -> (29/17,70/41) Hyperbolic Matrix(381,2204,-302,-1747) (-29/5,-23/4) -> (-53/42,-29/23) Hyperbolic Matrix(305,1748,-212,-1215) (-23/4,-17/3) -> (-59/41,-23/16) Hyperbolic Matrix(115,646,34,191) (-17/3,-11/2) -> (27/8,17/5) Hyperbolic Matrix(153,836,28,153) (-11/2,-38/7) -> (38/7,11/2) Hyperbolic Matrix(379,2052,70,379) (-38/7,-27/5) -> (27/5,38/7) Hyperbolic Matrix(191,1026,78,419) (-27/5,-16/3) -> (22/9,27/11) Hyperbolic Matrix(37,190,22,113) (-16/3,-5/1) -> (5/3,22/13) Hyperbolic Matrix(39,190,8,39) (-5/1,-19/4) -> (19/4,5/1) Hyperbolic Matrix(265,1254,56,265) (-19/4,-33/7) -> (33/7,19/4) Hyperbolic Matrix(493,2318,218,1025) (-33/7,-47/10) -> (9/4,43/19) Hyperbolic Matrix(1975,9272,1392,6535) (-47/10,-61/13) -> (61/43,105/74) Hyperbolic Matrix(1483,6954,608,2851) (-61/13,-14/3) -> (100/41,61/25) Hyperbolic Matrix(229,1064,82,381) (-14/3,-37/8) -> (39/14,14/5) Hyperbolic Matrix(379,1748,214,987) (-37/8,-23/5) -> (23/13,39/22) Hyperbolic Matrix(191,874,158,723) (-23/5,-32/7) -> (6/5,23/19) Hyperbolic Matrix(343,1558,-142,-645) (-32/7,-9/2) -> (-29/12,-70/29) Hyperbolic Matrix(417,1862,-230,-1027) (-9/2,-40/9) -> (-78/43,-29/16) Hyperbolic Matrix(797,3534,334,1481) (-40/9,-31/7) -> (31/13,74/31) Hyperbolic Matrix(533,2356,-464,-2051) (-31/7,-53/12) -> (-23/20,-31/27) Hyperbolic Matrix(1825,8056,-1446,-6383) (-53/12,-75/17) -> (-77/61,-53/42) Hyperbolic Matrix(647,2850,-526,-2317) (-75/17,-22/5) -> (-16/13,-75/61) Hyperbolic Matrix(113,494,78,341) (-22/5,-13/3) -> (13/9,16/11) Hyperbolic Matrix(115,494,-44,-189) (-13/3,-4/1) -> (-34/13,-13/5) Hyperbolic Matrix(189,722,-50,-191) (-4/1,-19/5) -> (-19/5,-34/9) Parabolic Matrix(1481,5586,574,2165) (-34/9,-49/13) -> (49/19,80/31) Hyperbolic Matrix(1291,4864,-908,-3421) (-49/13,-15/4) -> (-91/64,-27/19) Hyperbolic Matrix(417,1558,254,949) (-15/4,-41/11) -> (41/25,23/14) Hyperbolic Matrix(419,1558,174,647) (-41/11,-26/7) -> (12/5,41/17) Hyperbolic Matrix(1065,3952,-778,-2887) (-26/7,-63/17) -> (-89/65,-26/19) Hyperbolic Matrix(759,2812,410,1519) (-63/17,-37/10) -> (37/20,13/7) Hyperbolic Matrix(227,836,-186,-685) (-37/10,-11/3) -> (-11/9,-39/32) Hyperbolic Matrix(115,418,-52,-189) (-11/3,-18/5) -> (-20/9,-11/5) Hyperbolic Matrix(1027,3686,752,2699) (-18/5,-61/17) -> (15/11,56/41) Hyperbolic Matrix(1293,4636,-784,-2811) (-61/17,-43/12) -> (-33/20,-61/37) Hyperbolic Matrix(1709,6118,626,2241) (-43/12,-68/19) -> (30/11,71/26) Hyperbolic Matrix(797,2850,-606,-2167) (-68/19,-25/7) -> (-25/19,-46/35) Hyperbolic Matrix(267,950,-224,-797) (-25/7,-32/9) -> (-6/5,-25/21) Hyperbolic Matrix(1519,5396,-1070,-3801) (-32/9,-39/11) -> (-115/81,-44/31) Hyperbolic Matrix(151,532,86,303) (-39/11,-7/2) -> (7/4,37/21) Hyperbolic Matrix(153,532,44,153) (-7/2,-38/11) -> (38/11,7/2) Hyperbolic Matrix(683,2356,198,683) (-38/11,-31/9) -> (31/9,38/11) Hyperbolic Matrix(343,1178,122,419) (-31/9,-24/7) -> (14/5,31/11) Hyperbolic Matrix(189,646,122,417) (-24/7,-17/5) -> (17/11,14/9) Hyperbolic Matrix(191,646,34,115) (-17/5,-27/8) -> (11/2,17/3) Hyperbolic Matrix(417,1406,304,1025) (-27/8,-37/11) -> (37/27,11/8) Hyperbolic Matrix(837,2812,-520,-1747) (-37/11,-10/3) -> (-66/41,-37/23) Hyperbolic Matrix(265,874,-104,-343) (-10/3,-23/7) -> (-23/9,-28/11) Hyperbolic Matrix(533,1748,-440,-1443) (-23/7,-36/11) -> (-40/33,-23/19) Hyperbolic Matrix(1709,5586,-942,-3079) (-36/11,-49/15) -> (-49/27,-78/43) Hyperbolic Matrix(1443,4712,-908,-2965) (-49/15,-13/4) -> (-89/56,-27/17) Hyperbolic Matrix(305,988,188,609) (-13/4,-29/9) -> (47/29,13/8) Hyperbolic Matrix(1027,3306,744,2395) (-29/9,-45/14) -> (69/50,29/21) Hyperbolic Matrix(343,1102,296,951) (-45/14,-16/5) -> (22/19,7/6) Hyperbolic Matrix(417,1330,-322,-1027) (-16/5,-19/6) -> (-57/44,-22/17) Hyperbolic Matrix(37,114,12,37) (-19/6,-3/1) -> (3/1,19/6) Hyperbolic Matrix(761,2204,-472,-1367) (-3/1,-23/8) -> (-129/80,-79/49) Hyperbolic Matrix(609,1748,424,1217) (-23/8,-20/7) -> (56/39,23/16) Hyperbolic Matrix(455,1292,-268,-761) (-20/7,-17/6) -> (-17/10,-56/33) Hyperbolic Matrix(457,1292,-376,-1063) (-17/6,-31/11) -> (-45/37,-17/14) Hyperbolic Matrix(419,1178,122,343) (-31/11,-14/5) -> (24/7,31/9) Hyperbolic Matrix(381,1064,82,229) (-14/5,-39/14) -> (37/8,14/3) Hyperbolic Matrix(1747,4864,1228,3419) (-39/14,-64/23) -> (64/45,37/26) Hyperbolic Matrix(6993,19456,2732,7601) (-64/23,-153/55) -> (151/59,64/25) Hyperbolic Matrix(3115,8664,956,2659) (-153/55,-89/32) -> (13/4,75/23) Hyperbolic Matrix(7297,20292,2624,7297) (-89/32,-114/41) -> (114/41,89/32) Hyperbolic Matrix(2051,5700,738,2051) (-114/41,-25/9) -> (25/9,114/41) Hyperbolic Matrix(1329,3686,808,2241) (-25/9,-61/22) -> (23/14,51/31) Hyperbolic Matrix(2015,5586,-1576,-4369) (-61/22,-36/13) -> (-78/61,-23/18) Hyperbolic Matrix(303,836,220,607) (-36/13,-11/4) -> (11/8,40/29) Hyperbolic Matrix(265,722,-98,-267) (-11/4,-19/7) -> (-19/7,-27/10) Parabolic Matrix(1255,3382,-888,-2393) (-27/10,-35/13) -> (-41/29,-65/46) Hyperbolic Matrix(2431,6536,-1018,-2737) (-35/13,-43/16) -> (-43/18,-117/49) Hyperbolic Matrix(1217,3268,340,913) (-43/16,-8/3) -> (68/19,43/12) Hyperbolic Matrix(229,608,-200,-531) (-8/3,-45/17) -> (-31/27,-8/7) Hyperbolic Matrix(1709,4522,1048,2773) (-45/17,-37/14) -> (75/46,31/19) Hyperbolic Matrix(1065,2812,-748,-1975) (-37/14,-29/11) -> (-47/33,-37/26) Hyperbolic Matrix(419,1102,246,647) (-29/11,-21/8) -> (17/10,29/17) Hyperbolic Matrix(987,2584,-610,-1597) (-21/8,-34/13) -> (-34/21,-55/34) Hyperbolic Matrix(191,494,162,419) (-13/5,-31/12) -> (7/6,13/11) Hyperbolic Matrix(5093,13148,2856,7373) (-31/12,-111/43) -> (41/23,107/60) Hyperbolic Matrix(4903,12654,-2164,-5585) (-111/43,-80/31) -> (-34/15,-111/49) Hyperbolic Matrix(913,2356,236,609) (-80/31,-49/19) -> (27/7,4/1) Hyperbolic Matrix(723,1862,-398,-1025) (-49/19,-18/7) -> (-20/11,-49/27) Hyperbolic Matrix(341,874,222,569) (-18/7,-41/16) -> (3/2,20/13) Hyperbolic Matrix(1217,3116,-712,-1823) (-41/16,-23/9) -> (-53/31,-41/24) Hyperbolic Matrix(493,1254,-344,-875) (-28/11,-5/2) -> (-43/30,-10/7) Hyperbolic Matrix(835,2052,-588,-1445) (-5/2,-27/11) -> (-27/19,-71/50) Hyperbolic Matrix(419,1026,78,191) (-27/11,-22/9) -> (16/3,27/5) Hyperbolic Matrix(685,1672,592,1445) (-22/9,-61/25) -> (15/13,22/19) Hyperbolic Matrix(1901,4636,-1028,-2507) (-61/25,-39/16) -> (-37/20,-61/33) Hyperbolic Matrix(531,1292,-344,-837) (-39/16,-17/7) -> (-17/11,-37/24) Hyperbolic Matrix(533,1292,408,989) (-17/7,-46/19) -> (30/23,17/13) Hyperbolic Matrix(267,646,236,571) (-46/19,-29/12) -> (9/8,8/7) Hyperbolic Matrix(4409,10640,-2582,-6231) (-70/29,-41/17) -> (-111/65,-70/41) Hyperbolic Matrix(647,1558,174,419) (-41/17,-12/5) -> (26/7,41/11) Hyperbolic Matrix(493,1178,-398,-951) (-12/5,-43/18) -> (-5/4,-26/21) Hyperbolic Matrix(18239,43548,7066,16871) (-117/49,-191/80) -> (191/74,111/43) Hyperbolic Matrix(12161,29032,-7640,-18239) (-191/80,-74/31) -> (-78/49,-191/120) Hyperbolic Matrix(1481,3534,334,797) (-74/31,-31/13) -> (31/7,40/9) Hyperbolic Matrix(495,1178,208,495) (-31/13,-19/8) -> (19/8,31/13) Hyperbolic Matrix(113,266,48,113) (-19/8,-7/3) -> (7/3,19/8) Hyperbolic Matrix(989,2280,-560,-1291) (-30/13,-23/10) -> (-53/30,-30/17) Hyperbolic Matrix(761,1748,596,1369) (-23/10,-39/17) -> (37/29,23/18) Hyperbolic Matrix(647,1482,382,875) (-39/17,-16/7) -> (22/13,39/23) Hyperbolic Matrix(533,1216,-366,-835) (-16/7,-41/18) -> (-35/24,-16/11) Hyperbolic Matrix(2621,5966,-2154,-4903) (-41/18,-66/29) -> (-28/23,-73/60) Hyperbolic Matrix(1787,4066,1086,2471) (-66/29,-25/11) -> (51/31,28/17) Hyperbolic Matrix(419,950,-318,-721) (-25/11,-34/15) -> (-4/3,-25/19) Hyperbolic Matrix(8891,20140,3254,7371) (-111/49,-77/34) -> (153/56,41/15) Hyperbolic Matrix(5471,12388,3356,7599) (-77/34,-43/19) -> (119/73,75/46) Hyperbolic Matrix(1025,2318,218,493) (-43/19,-9/4) -> (47/10,33/7) Hyperbolic Matrix(495,1102,-358,-797) (-9/4,-20/9) -> (-18/13,-47/34) Hyperbolic Matrix(191,418,122,267) (-11/5,-13/6) -> (25/16,11/7) Hyperbolic Matrix(721,1558,404,873) (-13/6,-28/13) -> (66/37,25/14) Hyperbolic Matrix(989,2128,-600,-1291) (-28/13,-15/7) -> (-61/37,-28/17) Hyperbolic Matrix(607,1292,428,911) (-15/7,-17/8) -> (17/12,61/43) Hyperbolic Matrix(1291,2736,394,835) (-17/8,-19/9) -> (95/29,59/18) Hyperbolic Matrix(419,874,128,267) (-19/9,-2/1) -> (36/11,95/29) Hyperbolic Matrix(265,494,-184,-343) (-2/1,-13/7) -> (-13/9,-36/25) Hyperbolic Matrix(1519,2812,410,759) (-13/7,-37/20) -> (37/10,63/17) Hyperbolic Matrix(1255,2318,268,495) (-61/33,-24/13) -> (14/3,61/13) Hyperbolic Matrix(989,1824,-700,-1291) (-24/13,-11/6) -> (-65/46,-24/17) Hyperbolic Matrix(647,1178,-396,-721) (-11/6,-20/11) -> (-18/11,-49/30) Hyperbolic Matrix(1217,2204,672,1217) (-29/16,-38/21) -> (38/21,29/16) Hyperbolic Matrix(379,684,210,379) (-38/21,-9/5) -> (9/5,38/21) Hyperbolic Matrix(191,342,-148,-265) (-9/5,-16/9) -> (-22/17,-9/7) Hyperbolic Matrix(685,1216,-556,-987) (-16/9,-39/22) -> (-37/30,-16/13) Hyperbolic Matrix(987,1748,214,379) (-39/22,-23/13) -> (23/5,37/8) Hyperbolic Matrix(1483,2622,194,343) (-23/13,-76/43) -> (38/5,23/3) Hyperbolic Matrix(1785,3154,236,417) (-76/43,-53/30) -> (15/2,38/5) Hyperbolic Matrix(797,1406,-496,-875) (-30/17,-7/4) -> (-45/28,-8/5) Hyperbolic Matrix(417,722,-242,-419) (-7/4,-19/11) -> (-19/11,-31/18) Parabolic Matrix(3687,6346,2672,4599) (-31/18,-74/43) -> (40/29,69/50) Hyperbolic Matrix(3799,6536,-2386,-4105) (-74/43,-43/25) -> (-43/27,-78/49) Hyperbolic Matrix(2851,4902,-2320,-3989) (-43/25,-55/32) -> (-59/48,-43/35) Hyperbolic Matrix(1483,2546,-1084,-1861) (-55/32,-12/7) -> (-26/19,-93/68) Hyperbolic Matrix(1711,2926,-1266,-2165) (-12/7,-53/31) -> (-23/17,-50/37) Hyperbolic Matrix(9233,15770,2024,3457) (-41/24,-152/89) -> (114/25,73/16) Hyperbolic Matrix(11059,18886,2426,4143) (-152/89,-111/65) -> (41/9,114/25) Hyperbolic Matrix(1291,2204,222,379) (-70/41,-29/17) -> (29/5,6/1) Hyperbolic Matrix(647,1102,246,419) (-29/17,-17/10) -> (21/8,29/11) Hyperbolic Matrix(7637,12958,-5398,-9159) (-56/33,-95/56) -> (-133/94,-58/41) Hyperbolic Matrix(3383,5738,1188,2015) (-95/56,-39/23) -> (37/13,57/20) Hyperbolic Matrix(875,1482,382,647) (-39/23,-22/13) -> (16/7,39/17) Hyperbolic Matrix(113,190,22,37) (-22/13,-5/3) -> (5/1,16/3) Hyperbolic Matrix(229,380,138,229) (-5/3,-38/23) -> (38/23,5/3) Hyperbolic Matrix(1519,2508,920,1519) (-38/23,-33/20) -> (33/20,38/23) Hyperbolic Matrix(2471,4066,1086,1787) (-28/17,-51/31) -> (25/11,66/29) Hyperbolic Matrix(2241,3686,808,1329) (-51/31,-23/14) -> (61/22,25/9) Hyperbolic Matrix(949,1558,254,417) (-23/14,-41/25) -> (41/11,15/4) Hyperbolic Matrix(1901,3116,-1344,-2203) (-41/25,-18/11) -> (-58/41,-41/29) Hyperbolic Matrix(1443,2356,1070,1747) (-49/30,-80/49) -> (4/3,27/20) Hyperbolic Matrix(9613,15694,-5936,-9691) (-80/49,-111/68) -> (-149/92,-34/21) Hyperbolic Matrix(3609,5890,1280,2089) (-111/68,-31/19) -> (31/11,79/28) Hyperbolic Matrix(2773,4522,1048,1709) (-31/19,-75/46) -> (37/14,45/17) Hyperbolic Matrix(7599,12388,3356,5471) (-75/46,-119/73) -> (43/19,77/34) Hyperbolic Matrix(6271,10222,5106,8323) (-119/73,-44/27) -> (70/57,43/35) Hyperbolic Matrix(609,988,188,305) (-13/8,-47/29) -> (29/9,13/4) Hyperbolic Matrix(3307,5358,2604,4219) (-47/29,-81/50) -> (33/26,47/37) Hyperbolic Matrix(6991,11324,1970,3191) (-81/50,-115/71) -> (39/11,71/20) Hyperbolic Matrix(15579,25232,8962,14515) (-115/71,-149/92) -> (73/42,113/65) Hyperbolic Matrix(2091,3382,494,799) (-55/34,-76/47) -> (38/9,17/4) Hyperbolic Matrix(1481,2394,352,569) (-76/47,-21/13) -> (21/5,38/9) Hyperbolic Matrix(989,1596,-800,-1291) (-21/13,-50/31) -> (-26/21,-21/17) Hyperbolic Matrix(4713,7600,1226,1977) (-50/31,-129/80) -> (23/6,50/13) Hyperbolic Matrix(6459,10412,5044,8131) (-79/49,-108/67) -> (32/25,73/57) Hyperbolic Matrix(7827,12616,5516,8891) (-108/67,-29/18) -> (105/74,44/31) Hyperbolic Matrix(873,1406,778,1253) (-29/18,-95/59) -> (19/17,9/8) Hyperbolic Matrix(1369,2204,1228,1977) (-95/59,-66/41) -> (10/9,19/17) Hyperbolic Matrix(1253,2014,354,569) (-37/23,-45/28) -> (7/2,39/11) Hyperbolic Matrix(2051,3268,1478,2355) (-8/5,-43/27) -> (43/31,68/49) Hyperbolic Matrix(79383,126350,29056,46247) (-191/120,-304/191) -> (418/153,153/56) Hyperbolic Matrix(80293,127794,29390,46777) (-304/191,-113/71) -> (265/97,418/153) Hyperbolic Matrix(7713,12274,4226,6725) (-113/71,-35/22) -> (73/40,115/63) Hyperbolic Matrix(3609,5738,-2558,-4067) (-35/22,-62/39) -> (-24/17,-79/56) Hyperbolic Matrix(7865,12502,1362,2165) (-62/39,-151/95) -> (75/13,52/9) Hyperbolic Matrix(17023,27056,6120,9727) (-151/95,-89/56) -> (89/32,153/55) Hyperbolic Matrix(647,1026,408,647) (-27/17,-19/12) -> (19/12,27/17) Hyperbolic Matrix(265,418,168,265) (-19/12,-11/7) -> (11/7,19/12) Hyperbolic Matrix(267,418,122,191) (-11/7,-25/16) -> (13/6,11/5) Hyperbolic Matrix(2167,3382,-1582,-2469) (-25/16,-39/25) -> (-37/27,-63/46) Hyperbolic Matrix(683,1064,536,835) (-39/25,-14/9) -> (14/11,37/29) Hyperbolic Matrix(417,646,122,189) (-14/9,-17/11) -> (17/5,24/7) Hyperbolic Matrix(3649,5624,-2958,-4559) (-37/24,-57/37) -> (-95/77,-37/30) Hyperbolic Matrix(3381,5206,-2740,-4219) (-57/37,-20/13) -> (-58/47,-95/77) Hyperbolic Matrix(569,874,222,341) (-20/13,-3/2) -> (41/16,18/7) Hyperbolic Matrix(493,722,-338,-495) (-3/2,-19/13) -> (-19/13,-35/24) Parabolic Matrix(341,494,78,113) (-16/11,-13/9) -> (13/3,22/5) Hyperbolic Matrix(8473,12198,-6626,-9539) (-36/25,-95/66) -> (-133/104,-78/61) Hyperbolic Matrix(3459,4978,608,875) (-95/66,-59/41) -> (17/3,57/10) Hyperbolic Matrix(2091,3002,-1508,-2165) (-23/16,-33/23) -> (-43/31,-61/44) Hyperbolic Matrix(4027,5776,1218,1747) (-33/23,-76/53) -> (76/23,43/13) Hyperbolic Matrix(4029,5776,1220,1749) (-76/53,-43/30) -> (33/10,76/23) Hyperbolic Matrix(533,760,54,77) (-10/7,-57/40) -> (19/2,10/1) Hyperbolic Matrix(4295,6118,1628,2319) (-57/40,-47/33) -> (29/11,95/36) Hyperbolic Matrix(3419,4864,1228,1747) (-37/26,-64/45) -> (64/23,39/14) Hyperbolic Matrix(2699,3838,936,1331) (-64/45,-91/64) -> (23/8,26/9) Hyperbolic Matrix(12311,17480,7600,10791) (-71/50,-115/81) -> (115/71,81/50) Hyperbolic Matrix(8891,12616,5516,7827) (-44/31,-105/74) -> (29/18,108/67) Hyperbolic Matrix(6535,9272,1392,1975) (-105/74,-61/43) -> (61/13,47/10) Hyperbolic Matrix(911,1292,428,607) (-61/43,-17/12) -> (17/8,15/7) Hyperbolic Matrix(4027,5700,-3276,-4637) (-17/12,-75/53) -> (-75/61,-59/48) Hyperbolic Matrix(10259,14516,3598,5091) (-75/53,-133/94) -> (57/20,77/27) Hyperbolic Matrix(7031,9918,5146,7259) (-79/56,-55/39) -> (97/71,41/30) Hyperbolic Matrix(1671,2356,-1510,-2129) (-55/39,-86/61) -> (-10/9,-21/19) Hyperbolic Matrix(7979,11248,4474,6307) (-86/61,-31/22) -> (107/60,66/37) Hyperbolic Matrix(1673,2356,1188,1673) (-31/22,-38/27) -> (38/27,31/22) Hyperbolic Matrix(379,532,270,379) (-38/27,-7/5) -> (7/5,38/27) Hyperbolic Matrix(191,266,28,39) (-7/5,-25/18) -> (13/2,7/1) Hyperbolic Matrix(1177,1634,-904,-1255) (-25/18,-43/31) -> (-43/33,-13/10) Hyperbolic Matrix(1179,1634,412,571) (-61/44,-18/13) -> (20/7,23/8) Hyperbolic Matrix(4179,5776,1154,1595) (-47/34,-76/55) -> (76/21,29/8) Hyperbolic Matrix(4181,5776,1156,1597) (-76/55,-29/21) -> (47/13,76/21) Hyperbolic Matrix(2395,3306,744,1027) (-29/21,-69/50) -> (45/14,29/9) Hyperbolic Matrix(2203,3040,1266,1747) (-69/50,-40/29) -> (40/23,7/4) Hyperbolic Matrix(607,836,220,303) (-40/29,-11/8) -> (11/4,36/13) Hyperbolic Matrix(1025,1406,304,417) (-11/8,-37/27) -> (37/11,27/8) Hyperbolic Matrix(16871,23104,4550,6231) (-63/46,-152/111) -> (152/41,89/24) Hyperbolic Matrix(16873,23104,4552,6233) (-152/111,-89/65) -> (63/17,152/41) Hyperbolic Matrix(2279,3116,1778,2431) (-67/49,-41/30) -> (41/32,9/7) Hyperbolic Matrix(5395,7372,3392,4635) (-41/30,-97/71) -> (97/61,35/22) Hyperbolic Matrix(8929,12198,5034,6877) (-97/71,-56/41) -> (94/53,55/31) Hyperbolic Matrix(2699,3686,752,1027) (-56/41,-15/11) -> (61/17,18/5) Hyperbolic Matrix(419,570,308,419) (-15/11,-19/14) -> (19/14,15/11) Hyperbolic Matrix(645,874,476,645) (-19/14,-23/17) -> (23/17,19/14) Hyperbolic Matrix(647,874,-590,-797) (-50/37,-27/20) -> (-11/10,-12/11) Hyperbolic Matrix(873,1178,478,645) (-27/20,-4/3) -> (42/23,11/6) Hyperbolic Matrix(1217,1596,928,1217) (-21/16,-38/29) -> (38/29,21/16) Hyperbolic Matrix(987,1292,754,987) (-38/29,-17/13) -> (17/13,38/29) Hyperbolic Matrix(989,1292,408,533) (-17/13,-30/23) -> (46/19,17/7) Hyperbolic Matrix(1253,1634,786,1025) (-30/23,-43/33) -> (43/27,8/5) Hyperbolic Matrix(761,988,352,457) (-13/10,-48/37) -> (28/13,13/6) Hyperbolic Matrix(6651,8626,4718,6119) (-48/37,-83/64) -> (31/22,86/61) Hyperbolic Matrix(7941,10298,3076,3989) (-83/64,-35/27) -> (111/43,31/12) Hyperbolic Matrix(2053,2660,646,837) (-35/27,-57/44) -> (19/6,35/11) Hyperbolic Matrix(2431,3116,1778,2279) (-9/7,-41/32) -> (41/30,67/49) Hyperbolic Matrix(7297,9348,5696,7297) (-41/32,-114/89) -> (114/89,41/32) Hyperbolic Matrix(12995,16644,10146,12995) (-114/89,-73/57) -> (73/57,114/89) Hyperbolic Matrix(8131,10412,5044,6459) (-73/57,-32/25) -> (108/67,79/49) Hyperbolic Matrix(5435,6954,4426,5663) (-32/25,-87/68) -> (27/22,70/57) Hyperbolic Matrix(1901,2432,-1722,-2203) (-87/68,-55/43) -> (-21/19,-11/10) Hyperbolic Matrix(12539,16036,2198,2811) (-55/43,-133/104) -> (57/10,97/17) Hyperbolic Matrix(1369,1748,596,761) (-23/18,-37/29) -> (39/17,23/10) Hyperbolic Matrix(835,1064,536,683) (-37/29,-14/11) -> (14/9,39/25) Hyperbolic Matrix(569,722,-450,-571) (-14/11,-19/15) -> (-19/15,-24/19) Parabolic Matrix(5207,6574,1596,2015) (-24/19,-77/61) -> (75/23,62/19) Hyperbolic Matrix(2051,2584,1266,1595) (-29/23,-5/4) -> (81/50,47/29) Hyperbolic Matrix(5511,6802,4034,4979) (-21/17,-58/47) -> (56/41,97/71) Hyperbolic Matrix(8323,10222,5106,6271) (-43/35,-70/57) -> (44/27,119/73) Hyperbolic Matrix(5663,6954,4426,5435) (-70/57,-27/22) -> (87/68,32/25) Hyperbolic Matrix(1673,2052,1364,1673) (-27/22,-38/31) -> (38/31,27/22) Hyperbolic Matrix(683,836,558,683) (-38/31,-11/9) -> (11/9,38/31) Hyperbolic Matrix(343,418,32,39) (-39/32,-28/23) -> (10/1,1/0) Hyperbolic Matrix(4561,5548,2500,3041) (-73/60,-45/37) -> (31/17,73/40) Hyperbolic Matrix(1065,1292,502,609) (-17/14,-57/47) -> (19/9,17/8) Hyperbolic Matrix(721,874,344,417) (-57/47,-40/33) -> (2/1,19/9) Hyperbolic Matrix(723,874,158,191) (-23/19,-6/5) -> (32/7,23/5) Hyperbolic Matrix(1597,1900,448,533) (-25/21,-19/16) -> (57/16,25/7) Hyperbolic Matrix(417,494,352,417) (-19/16,-13/11) -> (13/11,19/16) Hyperbolic Matrix(419,494,162,191) (-13/11,-7/6) -> (31/12,13/5) Hyperbolic Matrix(951,1102,296,343) (-7/6,-22/19) -> (16/5,45/14) Hyperbolic Matrix(1445,1672,592,685) (-22/19,-15/13) -> (61/25,22/9) Hyperbolic Matrix(989,1140,858,989) (-15/13,-38/33) -> (38/33,15/13) Hyperbolic Matrix(1519,1748,1320,1519) (-38/33,-23/20) -> (23/20,38/33) Hyperbolic Matrix(571,646,236,267) (-8/7,-9/8) -> (29/12,46/19) Hyperbolic Matrix(1255,1406,374,419) (-9/8,-19/17) -> (57/17,47/14) Hyperbolic Matrix(683,760,204,227) (-19/17,-10/9) -> (10/3,57/17) Hyperbolic Matrix(1747,1900,628,683) (-12/11,-1/1) -> (153/55,64/23) Hyperbolic Matrix(1,0,2,1) (-1/1,0/1) -> (0/1,1/1) Parabolic Matrix(1597,-1748,624,-683) (1/1,11/10) -> (87/34,151/59) Hyperbolic Matrix(2129,-2356,1510,-1671) (11/10,10/9) -> (86/61,141/100) Hyperbolic Matrix(2051,-2356,464,-533) (8/7,23/20) -> (53/12,84/19) Hyperbolic Matrix(797,-950,224,-267) (19/16,6/5) -> (32/9,57/16) Hyperbolic Matrix(1443,-1748,440,-533) (23/19,17/14) -> (59/18,23/7) Hyperbolic Matrix(1063,-1292,376,-457) (17/14,28/23) -> (48/17,17/6) Hyperbolic Matrix(685,-836,186,-227) (28/23,11/9) -> (11/3,48/13) Hyperbolic Matrix(3649,-4484,2102,-2583) (43/35,16/13) -> (92/53,33/19) Hyperbolic Matrix(987,-1216,556,-685) (16/13,21/17) -> (55/31,16/9) Hyperbolic Matrix(951,-1178,398,-493) (21/17,5/4) -> (43/18,55/23) Hyperbolic Matrix(571,-722,450,-569) (5/4,19/15) -> (19/15,33/26) Parabolic Matrix(2243,-2850,388,-493) (47/37,14/11) -> (52/9,29/5) Hyperbolic Matrix(4369,-5586,1576,-2015) (23/18,55/43) -> (97/35,61/22) Hyperbolic Matrix(9803,-12540,6952,-8893) (55/43,87/68) -> (141/100,55/39) Hyperbolic Matrix(265,-342,148,-191) (9/7,13/10) -> (25/14,9/5) Hyperbolic Matrix(1255,-1634,904,-1177) (13/10,30/23) -> (68/49,25/18) Hyperbolic Matrix(721,-950,318,-419) (21/16,4/3) -> (34/15,59/26) Hyperbolic Matrix(1939,-2622,758,-1025) (27/20,23/17) -> (23/9,87/34) Hyperbolic Matrix(1445,-1976,166,-227) (67/49,26/19) -> (26/3,9/1) Hyperbolic Matrix(2469,-3382,1582,-2167) (26/19,37/27) -> (39/25,64/41) Hyperbolic Matrix(989,-1368,274,-379) (29/21,18/13) -> (18/5,47/13) Hyperbolic Matrix(2165,-3002,1508,-2091) (18/13,43/31) -> (33/23,56/39) Hyperbolic Matrix(4067,-5738,2558,-3609) (55/39,24/17) -> (62/39,97/61) Hyperbolic Matrix(2205,-3116,806,-1139) (24/17,41/29) -> (41/15,52/19) Hyperbolic Matrix(2203,-3116,1344,-1901) (41/29,17/12) -> (59/36,41/25) Hyperbolic Matrix(1445,-2052,588,-835) (44/31,27/19) -> (27/11,32/13) Hyperbolic Matrix(2165,-3078,562,-799) (27/19,64/45) -> (50/13,27/7) Hyperbolic Matrix(1975,-2812,748,-1065) (37/26,10/7) -> (66/25,37/14) Hyperbolic Matrix(531,-760,160,-229) (10/7,33/23) -> (43/13,10/3) Hyperbolic Matrix(343,-494,184,-265) (23/16,13/9) -> (13/7,15/8) Hyperbolic Matrix(835,-1216,366,-533) (16/11,19/13) -> (57/25,16/7) Hyperbolic Matrix(647,-950,284,-417) (19/13,3/2) -> (41/18,57/25) Hyperbolic Matrix(837,-1292,344,-531) (20/13,17/11) -> (17/7,56/23) Hyperbolic Matrix(4065,-6346,1096,-1711) (64/41,25/16) -> (89/24,26/7) Hyperbolic Matrix(2965,-4712,908,-1443) (27/17,62/39) -> (62/19,49/15) Hyperbolic Matrix(2697,-4294,1552,-2471) (35/22,43/27) -> (33/19,73/42) Hyperbolic Matrix(875,-1406,496,-797) (8/5,37/23) -> (37/21,30/17) Hyperbolic Matrix(1747,-2812,520,-837) (37/23,29/18) -> (47/14,37/11) Hyperbolic Matrix(1367,-2204,472,-761) (79/49,50/31) -> (26/9,3/1) Hyperbolic Matrix(1861,-3002,778,-1255) (50/31,21/13) -> (55/23,12/5) Hyperbolic Matrix(493,-798,118,-191) (21/13,34/21) -> (4/1,21/5) Hyperbolic Matrix(5397,-8740,2956,-4787) (34/21,115/71) -> (115/63,42/23) Hyperbolic Matrix(607,-988,94,-153) (13/8,44/27) -> (32/5,13/2) Hyperbolic Matrix(721,-1178,396,-647) (31/19,18/11) -> (20/11,31/17) Hyperbolic Matrix(1787,-2926,626,-1025) (18/11,77/47) -> (77/27,20/7) Hyperbolic Matrix(7259,-11894,1646,-2697) (77/47,59/36) -> (97/22,75/17) Hyperbolic Matrix(2811,-4636,784,-1293) (28/17,33/20) -> (43/12,104/29) Hyperbolic Matrix(761,-1292,268,-455) (39/23,17/10) -> (17/6,37/13) Hyperbolic Matrix(3761,-6422,824,-1407) (70/41,41/24) -> (73/16,32/7) Hyperbolic Matrix(1823,-3116,712,-1217) (41/24,12/7) -> (64/25,41/16) Hyperbolic Matrix(419,-722,242,-417) (12/7,19/11) -> (19/11,26/15) Parabolic Matrix(1139,-1976,132,-229) (26/15,59/34) -> (17/2,26/3) Hyperbolic Matrix(5889,-10222,1336,-2319) (59/34,92/53) -> (22/5,97/22) Hyperbolic Matrix(13375,-23256,4896,-8513) (113/65,40/23) -> (112/41,265/97) Hyperbolic Matrix(495,-874,64,-113) (30/17,23/13) -> (23/3,8/1) Hyperbolic Matrix(5015,-8892,2058,-3649) (39/22,94/53) -> (134/55,39/16) Hyperbolic Matrix(683,-1216,214,-381) (16/9,41/23) -> (35/11,16/5) Hyperbolic Matrix(1025,-1862,398,-723) (29/16,20/11) -> (18/7,67/26) Hyperbolic Matrix(455,-836,166,-305) (11/6,24/13) -> (52/19,11/4) Hyperbolic Matrix(2507,-4636,1028,-1901) (24/13,37/20) -> (39/16,100/41) Hyperbolic Matrix(343,-646,60,-113) (15/8,2/1) -> (40/7,23/4) Hyperbolic Matrix(1521,-3268,424,-911) (15/7,28/13) -> (104/29,61/17) Hyperbolic Matrix(189,-418,52,-115) (11/5,9/4) -> (29/8,11/3) Hyperbolic Matrix(5585,-12654,2164,-4903) (77/34,34/15) -> (80/31,191/74) Hyperbolic Matrix(837,-1900,100,-227) (59/26,25/11) -> (25/3,17/2) Hyperbolic Matrix(3155,-7182,1118,-2545) (66/29,41/18) -> (79/28,48/17) Hyperbolic Matrix(115,-266,16,-37) (23/10,7/3) -> (7/1,15/2) Hyperbolic Matrix(4217,-10070,1544,-3687) (74/31,43/18) -> (71/26,112/41) Hyperbolic Matrix(645,-1558,142,-343) (41/17,29/12) -> (9/2,41/9) Hyperbolic Matrix(7411,-18050,3042,-7409) (56/23,95/39) -> (95/39,134/55) Parabolic Matrix(987,-2432,278,-685) (32/13,5/2) -> (71/20,32/9) Hyperbolic Matrix(343,-874,104,-265) (5/2,23/9) -> (23/7,33/10) Hyperbolic Matrix(1445,-3724,324,-835) (67/26,49/19) -> (49/11,9/2) Hyperbolic Matrix(189,-494,44,-115) (13/5,21/8) -> (17/4,13/3) Hyperbolic Matrix(1521,-4028,344,-911) (45/17,8/3) -> (84/19,31/7) Hyperbolic Matrix(267,-722,98,-265) (8/3,19/7) -> (19/7,30/11) Parabolic Matrix(2661,-7372,466,-1291) (36/13,97/35) -> (97/17,40/7) Hyperbolic Matrix(1139,-3724,256,-837) (49/15,36/11) -> (40/9,49/11) Hyperbolic Matrix(531,-1900,64,-229) (25/7,68/19) -> (8/1,25/3) Hyperbolic Matrix(191,-722,50,-189) (15/4,19/5) -> (19/5,23/6) Parabolic Matrix(1291,-5700,224,-989) (75/17,53/12) -> (23/4,75/13) Hyperbolic Matrix(115,-722,18,-113) (6/1,19/3) -> (19/3,32/5) Parabolic IMAGES OF THE GENERATORS UNDER THE VIRTUAL ENDOMORPHISM Matrix(37,418,10,113) -> Matrix(1,0,0,1) Matrix(227,2204,86,835) -> Matrix(5,-4,-6,5) Matrix(37,342,4,37) -> Matrix(5,-6,6,-7) Matrix(227,1976,-166,-1445) -> Matrix(1,-2,2,-3) Matrix(113,950,-86,-723) -> Matrix(1,-2,-2,5) Matrix(37,266,-16,-115) -> Matrix(1,0,2,1) Matrix(39,266,28,191) -> Matrix(1,0,0,1) Matrix(153,988,-94,-607) -> Matrix(3,-2,2,-1) Matrix(189,1178,-116,-723) -> Matrix(1,-2,2,-3) Matrix(379,2204,222,1291) -> Matrix(1,-2,0,1) Matrix(381,2204,-302,-1747) -> Matrix(1,-4,0,1) Matrix(305,1748,-212,-1215) -> Matrix(1,-4,0,1) Matrix(115,646,34,191) -> Matrix(1,-2,2,-3) Matrix(153,836,28,153) -> Matrix(1,-10,2,-19) Matrix(379,2052,70,379) -> Matrix(1,18,2,37) Matrix(191,1026,78,419) -> Matrix(1,4,2,9) Matrix(37,190,22,113) -> Matrix(1,0,2,1) Matrix(39,190,8,39) -> Matrix(1,0,2,1) Matrix(265,1254,56,265) -> Matrix(1,0,0,1) Matrix(493,2318,218,1025) -> Matrix(3,-2,2,-1) Matrix(1975,9272,1392,6535) -> Matrix(1,0,4,1) Matrix(1483,6954,608,2851) -> Matrix(3,-2,8,-5) Matrix(229,1064,82,381) -> Matrix(1,0,2,1) Matrix(379,1748,214,987) -> Matrix(1,-4,2,-7) Matrix(191,874,158,723) -> Matrix(1,0,2,1) Matrix(343,1558,-142,-645) -> Matrix(1,0,-2,1) Matrix(417,1862,-230,-1027) -> Matrix(5,-6,6,-7) Matrix(797,3534,334,1481) -> Matrix(1,-2,6,-11) Matrix(533,2356,-464,-2051) -> Matrix(1,-2,2,-3) Matrix(1825,8056,-1446,-6383) -> Matrix(1,-4,0,1) Matrix(647,2850,-526,-2317) -> Matrix(1,-2,-2,5) Matrix(113,494,78,341) -> Matrix(1,0,2,1) Matrix(115,494,-44,-189) -> Matrix(1,-2,2,-3) Matrix(189,722,-50,-191) -> Matrix(1,0,6,1) Matrix(1481,5586,574,2165) -> Matrix(11,-2,6,-1) Matrix(1291,4864,-908,-3421) -> Matrix(7,-2,-10,3) Matrix(417,1558,254,949) -> Matrix(1,0,0,1) Matrix(419,1558,174,647) -> Matrix(1,0,0,1) Matrix(1065,3952,-778,-2887) -> Matrix(1,0,-2,1) Matrix(759,2812,410,1519) -> Matrix(3,-2,8,-5) Matrix(227,836,-186,-685) -> Matrix(1,0,0,1) Matrix(115,418,-52,-189) -> Matrix(3,-2,2,-1) Matrix(1027,3686,752,2699) -> Matrix(3,-4,4,-5) Matrix(1293,4636,-784,-2811) -> Matrix(1,-2,2,-3) Matrix(1709,6118,626,2241) -> Matrix(1,-2,8,-15) Matrix(797,2850,-606,-2167) -> Matrix(1,-2,-2,5) Matrix(267,950,-224,-797) -> Matrix(1,0,0,1) Matrix(1519,5396,-1070,-3801) -> Matrix(1,-2,-2,5) Matrix(151,532,86,303) -> Matrix(1,-2,2,-3) Matrix(153,532,44,153) -> Matrix(1,-2,2,-3) Matrix(683,2356,198,683) -> Matrix(1,8,2,17) Matrix(343,1178,122,419) -> Matrix(1,2,2,5) Matrix(189,646,122,417) -> Matrix(1,2,2,5) Matrix(191,646,34,115) -> Matrix(1,-2,2,-3) Matrix(417,1406,304,1025) -> Matrix(1,0,2,1) Matrix(837,2812,-520,-1747) -> Matrix(1,2,0,1) Matrix(265,874,-104,-343) -> Matrix(3,2,4,3) Matrix(533,1748,-440,-1443) -> Matrix(1,0,2,1) Matrix(1709,5586,-942,-3079) -> Matrix(5,4,6,5) Matrix(1443,4712,-908,-2965) -> Matrix(9,4,2,1) Matrix(305,988,188,609) -> Matrix(3,2,4,3) Matrix(1027,3306,744,2395) -> Matrix(13,4,16,5) Matrix(343,1102,296,951) -> Matrix(1,0,6,1) Matrix(417,1330,-322,-1027) -> Matrix(1,0,8,1) Matrix(37,114,12,37) -> Matrix(1,0,0,1) Matrix(761,2204,-472,-1367) -> Matrix(1,0,0,1) Matrix(609,1748,424,1217) -> Matrix(3,-2,8,-5) Matrix(455,1292,-268,-761) -> Matrix(1,0,0,1) Matrix(457,1292,-376,-1063) -> Matrix(1,0,0,1) Matrix(419,1178,122,343) -> Matrix(1,2,2,5) Matrix(381,1064,82,229) -> Matrix(1,0,2,1) Matrix(1747,4864,1228,3419) -> Matrix(3,2,10,7) Matrix(6993,19456,2732,7601) -> Matrix(1,0,2,1) Matrix(3115,8664,956,2659) -> Matrix(1,0,6,1) Matrix(7297,20292,2624,7297) -> Matrix(1,0,8,1) Matrix(2051,5700,738,2051) -> Matrix(1,0,2,1) Matrix(1329,3686,808,2241) -> Matrix(1,0,2,1) Matrix(2015,5586,-1576,-4369) -> Matrix(1,2,0,1) Matrix(303,836,220,607) -> Matrix(3,2,4,3) Matrix(265,722,-98,-267) -> Matrix(1,0,10,1) Matrix(1255,3382,-888,-2393) -> Matrix(1,0,-8,1) Matrix(2431,6536,-1018,-2737) -> Matrix(1,0,-8,1) Matrix(1217,3268,340,913) -> Matrix(9,-2,14,-3) Matrix(229,608,-200,-531) -> Matrix(1,0,-2,1) Matrix(1709,4522,1048,2773) -> Matrix(1,0,-2,1) Matrix(1065,2812,-748,-1975) -> Matrix(7,-2,-10,3) Matrix(419,1102,246,647) -> Matrix(5,-2,8,-3) Matrix(987,2584,-610,-1597) -> Matrix(11,-6,2,-1) Matrix(191,494,162,419) -> Matrix(3,-2,8,-5) Matrix(5093,13148,2856,7373) -> Matrix(13,-8,18,-11) Matrix(4903,12654,-2164,-5585) -> Matrix(1,0,0,1) Matrix(913,2356,236,609) -> Matrix(3,-2,8,-5) Matrix(723,1862,-398,-1025) -> Matrix(1,0,0,1) Matrix(341,874,222,569) -> Matrix(1,0,2,1) Matrix(1217,3116,-712,-1823) -> Matrix(1,0,-2,1) Matrix(493,1254,-344,-875) -> Matrix(3,-2,-4,3) Matrix(835,2052,-588,-1445) -> Matrix(1,-2,-2,5) Matrix(419,1026,78,191) -> Matrix(1,4,2,9) Matrix(685,1672,592,1445) -> Matrix(1,2,2,5) Matrix(1901,4636,-1028,-2507) -> Matrix(1,2,-2,-3) Matrix(531,1292,-344,-837) -> Matrix(3,2,-2,-1) Matrix(533,1292,408,989) -> Matrix(1,0,0,1) Matrix(267,646,236,571) -> Matrix(1,0,2,1) Matrix(4409,10640,-2582,-6231) -> Matrix(1,0,6,1) Matrix(647,1558,174,419) -> Matrix(1,0,0,1) Matrix(493,1178,-398,-951) -> Matrix(1,0,2,1) Matrix(18239,43548,7066,16871) -> Matrix(1,2,0,1) Matrix(12161,29032,-7640,-18239) -> Matrix(9,4,2,1) Matrix(1481,3534,334,797) -> Matrix(7,2,10,3) Matrix(495,1178,208,495) -> Matrix(1,0,10,1) Matrix(113,266,48,113) -> Matrix(1,0,-2,1) Matrix(989,2280,-560,-1291) -> Matrix(5,-2,-2,1) Matrix(761,1748,596,1369) -> Matrix(1,0,0,1) Matrix(647,1482,382,875) -> Matrix(1,0,0,1) Matrix(533,1216,-366,-835) -> Matrix(5,-2,-2,1) Matrix(2621,5966,-2154,-4903) -> Matrix(7,-4,2,-1) Matrix(1787,4066,1086,2471) -> Matrix(3,-2,8,-5) Matrix(419,950,-318,-721) -> Matrix(3,-2,-4,3) Matrix(8891,20140,3254,7371) -> Matrix(3,-2,14,-9) Matrix(5471,12388,3356,7599) -> Matrix(3,-2,2,-1) Matrix(1025,2318,218,493) -> Matrix(3,-2,2,-1) Matrix(495,1102,-358,-797) -> Matrix(3,-4,4,-5) Matrix(191,418,122,267) -> Matrix(1,0,2,1) Matrix(721,1558,404,873) -> Matrix(3,2,4,3) Matrix(989,2128,-600,-1291) -> Matrix(1,0,0,1) Matrix(607,1292,428,911) -> Matrix(1,0,4,1) Matrix(1291,2736,394,835) -> Matrix(1,0,4,1) Matrix(419,874,128,267) -> Matrix(1,0,2,1) Matrix(265,494,-184,-343) -> Matrix(1,-2,0,1) Matrix(1519,2812,410,759) -> Matrix(1,2,0,1) Matrix(1255,2318,268,495) -> Matrix(1,0,2,1) Matrix(989,1824,-700,-1291) -> Matrix(1,0,-2,1) Matrix(647,1178,-396,-721) -> Matrix(3,-2,2,-1) Matrix(1217,2204,672,1217) -> Matrix(13,-12,12,-11) Matrix(379,684,210,379) -> Matrix(5,-6,6,-7) Matrix(191,342,-148,-265) -> Matrix(1,-2,2,-3) Matrix(685,1216,-556,-987) -> Matrix(1,-2,-2,5) Matrix(987,1748,214,379) -> Matrix(1,-4,2,-7) Matrix(1483,2622,194,343) -> Matrix(1,-12,2,-23) Matrix(1785,3154,236,417) -> Matrix(1,8,2,17) Matrix(797,1406,-496,-875) -> Matrix(1,0,0,1) Matrix(417,722,-242,-419) -> Matrix(1,-6,0,1) Matrix(3687,6346,2672,4599) -> Matrix(3,8,4,11) Matrix(3799,6536,-2386,-4105) -> Matrix(1,6,0,1) Matrix(2851,4902,-2320,-3989) -> Matrix(1,2,-2,-3) Matrix(1483,2546,-1084,-1861) -> Matrix(1,2,0,1) Matrix(1711,2926,-1266,-2165) -> Matrix(1,-2,0,1) Matrix(9233,15770,2024,3457) -> Matrix(1,0,12,1) Matrix(11059,18886,2426,4143) -> Matrix(1,0,-10,1) Matrix(1291,2204,222,379) -> Matrix(5,-2,8,-3) Matrix(647,1102,246,419) -> Matrix(1,-2,0,1) Matrix(7637,12958,-5398,-9159) -> Matrix(1,-2,-2,5) Matrix(3383,5738,1188,2015) -> Matrix(1,-2,2,-3) Matrix(875,1482,382,647) -> Matrix(1,0,0,1) Matrix(113,190,22,37) -> Matrix(1,0,2,1) Matrix(229,380,138,229) -> Matrix(1,0,2,1) Matrix(1519,2508,920,1519) -> Matrix(1,0,0,1) Matrix(2471,4066,1086,1787) -> Matrix(1,2,0,1) Matrix(2241,3686,808,1329) -> Matrix(1,0,2,1) Matrix(949,1558,254,417) -> Matrix(1,0,0,1) Matrix(1901,3116,-1344,-2203) -> Matrix(1,0,-4,1) Matrix(1443,2356,1070,1747) -> Matrix(1,0,2,1) Matrix(9613,15694,-5936,-9691) -> Matrix(1,2,0,1) Matrix(3609,5890,1280,2089) -> Matrix(1,-2,2,-3) Matrix(2773,4522,1048,1709) -> Matrix(1,0,-2,1) Matrix(7599,12388,3356,5471) -> Matrix(3,-2,2,-1) Matrix(6271,10222,5106,8323) -> Matrix(1,0,4,1) Matrix(609,988,188,305) -> Matrix(1,-2,4,-7) Matrix(3307,5358,2604,4219) -> Matrix(1,-6,2,-11) Matrix(6991,11324,1970,3191) -> Matrix(1,-4,2,-7) Matrix(15579,25232,8962,14515) -> Matrix(1,-6,2,-11) Matrix(2091,3382,494,799) -> Matrix(1,-14,2,-27) Matrix(1481,2394,352,569) -> Matrix(1,8,2,17) Matrix(989,1596,-800,-1291) -> Matrix(1,0,0,1) Matrix(4713,7600,1226,1977) -> Matrix(1,0,4,1) Matrix(6459,10412,5044,8131) -> Matrix(1,-2,2,-3) Matrix(7827,12616,5516,8891) -> Matrix(1,0,4,1) Matrix(873,1406,778,1253) -> Matrix(1,-2,2,-3) Matrix(1369,2204,1228,1977) -> Matrix(1,0,2,1) Matrix(1253,2014,354,569) -> Matrix(1,-2,2,-3) Matrix(2051,3268,1478,2355) -> Matrix(1,-2,0,1) Matrix(79383,126350,29056,46247) -> Matrix(1,-6,6,-35) Matrix(80293,127794,29390,46777) -> Matrix(1,-2,6,-11) Matrix(7713,12274,4226,6725) -> Matrix(1,-2,0,1) Matrix(3609,5738,-2558,-4067) -> Matrix(1,-4,-4,17) Matrix(7865,12502,1362,2165) -> Matrix(1,-6,2,-11) Matrix(17023,27056,6120,9727) -> Matrix(1,-4,4,-15) Matrix(647,1026,408,647) -> Matrix(1,-10,2,-19) Matrix(265,418,168,265) -> Matrix(1,4,2,9) Matrix(267,418,122,191) -> Matrix(1,0,2,1) Matrix(2167,3382,-1582,-2469) -> Matrix(1,2,0,1) Matrix(683,1064,536,835) -> Matrix(1,0,2,1) Matrix(417,646,122,189) -> Matrix(1,2,2,5) Matrix(3649,5624,-2958,-4559) -> Matrix(7,8,-8,-9) Matrix(3381,5206,-2740,-4219) -> Matrix(7,6,-6,-5) Matrix(569,874,222,341) -> Matrix(1,0,2,1) Matrix(493,722,-338,-495) -> Matrix(1,-6,0,1) Matrix(341,494,78,113) -> Matrix(1,0,2,1) Matrix(8473,12198,-6626,-9539) -> Matrix(1,2,0,1) Matrix(3459,4978,608,875) -> Matrix(1,0,2,1) Matrix(2091,3002,-1508,-2165) -> Matrix(1,2,0,1) Matrix(4027,5776,1218,1747) -> Matrix(7,8,20,23) Matrix(4029,5776,1220,1749) -> Matrix(7,6,22,19) Matrix(533,760,54,77) -> Matrix(1,2,0,1) Matrix(4295,6118,1628,2319) -> Matrix(7,6,-6,-5) Matrix(3419,4864,1228,1747) -> Matrix(3,2,10,7) Matrix(2699,3838,936,1331) -> Matrix(3,2,4,3) Matrix(12311,17480,7600,10791) -> Matrix(3,2,4,3) Matrix(8891,12616,5516,7827) -> Matrix(1,0,4,1) Matrix(6535,9272,1392,1975) -> Matrix(1,0,4,1) Matrix(911,1292,428,607) -> Matrix(1,0,4,1) Matrix(4027,5700,-3276,-4637) -> Matrix(1,0,0,1) Matrix(10259,14516,3598,5091) -> Matrix(3,2,4,3) Matrix(7031,9918,5146,7259) -> Matrix(1,0,6,1) Matrix(1671,2356,-1510,-2129) -> Matrix(1,0,6,1) Matrix(7979,11248,4474,6307) -> Matrix(19,2,28,3) Matrix(1673,2356,1188,1673) -> Matrix(1,0,20,1) Matrix(379,532,270,379) -> Matrix(1,0,-2,1) Matrix(191,266,28,39) -> Matrix(1,0,0,1) Matrix(1177,1634,-904,-1255) -> Matrix(1,0,0,1) Matrix(1179,1634,412,571) -> Matrix(1,0,0,1) Matrix(4179,5776,1154,1595) -> Matrix(13,-12,12,-11) Matrix(4181,5776,1156,1597) -> Matrix(13,-14,14,-15) Matrix(2395,3306,744,1027) -> Matrix(3,-4,16,-21) Matrix(2203,3040,1266,1747) -> Matrix(7,-10,12,-17) Matrix(607,836,220,303) -> Matrix(1,-2,4,-7) Matrix(1025,1406,304,417) -> Matrix(1,0,2,1) Matrix(16871,23104,4550,6231) -> Matrix(1,-6,0,1) Matrix(16873,23104,4552,6233) -> Matrix(1,6,0,1) Matrix(2279,3116,1778,2431) -> Matrix(1,-2,2,-3) Matrix(5395,7372,3392,4635) -> Matrix(1,-4,2,-7) Matrix(8929,12198,5034,6877) -> Matrix(11,-8,18,-13) Matrix(2699,3686,752,1027) -> Matrix(3,-4,4,-5) Matrix(419,570,308,419) -> Matrix(1,-4,2,-7) Matrix(645,874,476,645) -> Matrix(1,6,2,13) Matrix(647,874,-590,-797) -> Matrix(1,2,0,1) Matrix(873,1178,478,645) -> Matrix(1,2,0,1) Matrix(1217,1596,928,1217) -> Matrix(1,0,12,1) Matrix(987,1292,754,987) -> Matrix(1,0,-6,1) Matrix(989,1292,408,533) -> Matrix(1,0,0,1) Matrix(1253,1634,786,1025) -> Matrix(5,-2,8,-3) Matrix(761,988,352,457) -> Matrix(1,0,2,1) Matrix(6651,8626,4718,6119) -> Matrix(1,0,10,1) Matrix(7941,10298,3076,3989) -> Matrix(1,2,0,1) Matrix(2053,2660,646,837) -> Matrix(1,0,14,1) Matrix(2431,3116,1778,2279) -> Matrix(1,-2,2,-3) Matrix(7297,9348,5696,7297) -> Matrix(1,-2,2,-3) Matrix(12995,16644,10146,12995) -> Matrix(3,-4,4,-5) Matrix(8131,10412,5044,6459) -> Matrix(1,-2,2,-3) Matrix(5435,6954,4426,5663) -> Matrix(1,-2,6,-11) Matrix(1901,2432,-1722,-2203) -> Matrix(1,-2,0,1) Matrix(12539,16036,2198,2811) -> Matrix(1,-6,2,-11) Matrix(1369,1748,596,761) -> Matrix(1,0,0,1) Matrix(835,1064,536,683) -> Matrix(1,0,2,1) Matrix(569,722,-450,-571) -> Matrix(1,-4,0,1) Matrix(5207,6574,1596,2015) -> Matrix(1,2,4,9) Matrix(2051,2584,1266,1595) -> Matrix(1,-2,2,-3) Matrix(5511,6802,4034,4979) -> Matrix(1,2,0,1) Matrix(8323,10222,5106,6271) -> Matrix(1,0,4,1) Matrix(5663,6954,4426,5435) -> Matrix(7,2,10,3) Matrix(1673,2052,1364,1673) -> Matrix(1,0,12,1) Matrix(683,836,558,683) -> Matrix(1,0,-2,1) Matrix(343,418,32,39) -> Matrix(1,0,0,1) Matrix(4561,5548,2500,3041) -> Matrix(1,0,0,1) Matrix(1065,1292,502,609) -> Matrix(1,0,2,1) Matrix(721,874,344,417) -> Matrix(1,0,0,1) Matrix(723,874,158,191) -> Matrix(1,0,2,1) Matrix(1597,1900,448,533) -> Matrix(1,-4,2,-7) Matrix(417,494,352,417) -> Matrix(1,2,2,5) Matrix(419,494,162,191) -> Matrix(1,2,0,1) Matrix(951,1102,296,343) -> Matrix(1,0,6,1) Matrix(1445,1672,592,685) -> Matrix(1,2,2,5) Matrix(989,1140,858,989) -> Matrix(1,0,6,1) Matrix(1519,1748,1320,1519) -> Matrix(1,0,-4,1) Matrix(571,646,236,267) -> Matrix(1,0,2,1) Matrix(1255,1406,374,419) -> Matrix(1,0,2,1) Matrix(683,760,204,227) -> Matrix(1,2,2,5) Matrix(1747,1900,628,683) -> Matrix(1,0,4,1) Matrix(1,0,2,1) -> Matrix(1,0,2,1) Matrix(1597,-1748,624,-683) -> Matrix(1,0,-2,1) Matrix(2129,-2356,1510,-1671) -> Matrix(1,0,6,1) Matrix(2051,-2356,464,-533) -> Matrix(1,-2,2,-3) Matrix(797,-950,224,-267) -> Matrix(1,0,0,1) Matrix(1443,-1748,440,-533) -> Matrix(1,0,2,1) Matrix(1063,-1292,376,-457) -> Matrix(1,0,0,1) Matrix(685,-836,186,-227) -> Matrix(1,0,0,1) Matrix(3649,-4484,2102,-2583) -> Matrix(17,-4,30,-7) Matrix(987,-1216,556,-685) -> Matrix(9,-2,14,-3) Matrix(951,-1178,398,-493) -> Matrix(1,0,2,1) Matrix(571,-722,450,-569) -> Matrix(9,-4,16,-7) Matrix(2243,-2850,388,-493) -> Matrix(1,0,0,1) Matrix(4369,-5586,1576,-2015) -> Matrix(3,-2,8,-5) Matrix(9803,-12540,6952,-8893) -> Matrix(3,-2,26,-17) Matrix(265,-342,148,-191) -> Matrix(1,-2,2,-3) Matrix(1255,-1634,904,-1177) -> Matrix(1,0,0,1) Matrix(721,-950,318,-419) -> Matrix(7,-2,4,-1) Matrix(1939,-2622,758,-1025) -> Matrix(5,-2,-2,1) Matrix(1445,-1976,166,-227) -> Matrix(1,-2,2,-3) Matrix(2469,-3382,1582,-2167) -> Matrix(3,-2,8,-5) Matrix(989,-1368,274,-379) -> Matrix(1,-2,2,-3) Matrix(2165,-3002,1508,-2091) -> Matrix(3,-2,8,-5) Matrix(4067,-5738,2558,-3609) -> Matrix(25,-4,44,-7) Matrix(2205,-3116,806,-1139) -> Matrix(1,0,2,1) Matrix(2203,-3116,1344,-1901) -> Matrix(1,0,-4,1) Matrix(1445,-2052,588,-835) -> Matrix(9,-2,14,-3) Matrix(2165,-3078,562,-799) -> Matrix(7,-2,32,-9) Matrix(1975,-2812,748,-1065) -> Matrix(7,-2,-10,3) Matrix(531,-760,160,-229) -> Matrix(1,0,0,1) Matrix(343,-494,184,-265) -> Matrix(5,-2,8,-3) Matrix(835,-1216,366,-533) -> Matrix(5,-2,-2,1) Matrix(647,-950,284,-417) -> Matrix(7,-4,2,-1) Matrix(837,-1292,344,-531) -> Matrix(5,-2,18,-7) Matrix(4065,-6346,1096,-1711) -> Matrix(5,-2,-2,1) Matrix(2965,-4712,908,-1443) -> Matrix(7,-4,30,-17) Matrix(2697,-4294,1552,-2471) -> Matrix(1,0,0,1) Matrix(875,-1406,496,-797) -> Matrix(1,0,0,1) Matrix(1747,-2812,520,-837) -> Matrix(3,-2,8,-5) Matrix(1367,-2204,472,-761) -> Matrix(1,0,0,1) Matrix(1861,-3002,778,-1255) -> Matrix(1,0,2,1) Matrix(493,-798,118,-191) -> Matrix(7,-4,16,-9) Matrix(5397,-8740,2956,-4787) -> Matrix(7,-4,2,-1) Matrix(607,-988,94,-153) -> Matrix(3,-2,2,-1) Matrix(721,-1178,396,-647) -> Matrix(3,-2,2,-1) Matrix(1787,-2926,626,-1025) -> Matrix(1,-2,2,-3) Matrix(7259,-11894,1646,-2697) -> Matrix(1,-2,2,-3) Matrix(2811,-4636,784,-1293) -> Matrix(1,-2,2,-3) Matrix(761,-1292,268,-455) -> Matrix(1,0,0,1) Matrix(3761,-6422,824,-1407) -> Matrix(1,0,4,1) Matrix(1823,-3116,712,-1217) -> Matrix(1,0,-2,1) Matrix(419,-722,242,-417) -> Matrix(13,-6,24,-11) Matrix(1139,-1976,132,-229) -> Matrix(25,-14,34,-19) Matrix(5889,-10222,1336,-2319) -> Matrix(3,-2,8,-5) Matrix(13375,-23256,4896,-8513) -> Matrix(7,-4,44,-25) Matrix(495,-874,64,-113) -> Matrix(5,-2,8,-3) Matrix(5015,-8892,2058,-3649) -> Matrix(27,-16,76,-45) Matrix(683,-1216,214,-381) -> Matrix(3,-2,26,-17) Matrix(1025,-1862,398,-723) -> Matrix(1,0,0,1) Matrix(455,-836,166,-305) -> Matrix(1,0,4,1) Matrix(2507,-4636,1028,-1901) -> Matrix(7,-2,18,-5) Matrix(343,-646,60,-113) -> Matrix(5,-2,8,-3) Matrix(1521,-3268,424,-911) -> Matrix(1,-2,2,-3) Matrix(189,-418,52,-115) -> Matrix(3,-2,2,-1) Matrix(5585,-12654,2164,-4903) -> Matrix(1,0,0,1) Matrix(837,-1900,100,-227) -> Matrix(1,-4,2,-7) Matrix(3155,-7182,1118,-2545) -> Matrix(1,-4,2,-7) Matrix(115,-266,16,-37) -> Matrix(1,0,2,1) Matrix(4217,-10070,1544,-3687) -> Matrix(1,0,2,1) Matrix(645,-1558,142,-343) -> Matrix(1,0,-2,1) Matrix(7411,-18050,3042,-7409) -> Matrix(43,-14,126,-41) Matrix(987,-2432,278,-685) -> Matrix(1,0,0,1) Matrix(343,-874,104,-265) -> Matrix(1,-2,4,-7) Matrix(1445,-3724,324,-835) -> Matrix(5,-6,6,-7) Matrix(189,-494,44,-115) -> Matrix(1,-2,2,-3) Matrix(1521,-4028,344,-911) -> Matrix(3,2,4,3) Matrix(267,-722,98,-265) -> Matrix(1,0,10,1) Matrix(2661,-7372,466,-1291) -> Matrix(9,-4,16,-7) Matrix(1139,-3724,256,-837) -> Matrix(5,-2,8,-3) Matrix(531,-1900,64,-229) -> Matrix(1,0,0,1) Matrix(191,-722,50,-189) -> Matrix(1,0,6,1) Matrix(1291,-5700,224,-989) -> Matrix(1,0,0,1) Matrix(115,-722,18,-113) -> Matrix(5,-4,4,-3) 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): 84 Degree of the the map X: 84 Degree of the the map Y: 360 ----------------------------------------------------------------------- Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift elements of DeckMod(f) via pi_1: 0 DeckMod(f) is trivial. Elements among 0, lambda1, lambda2 and lambda1+lambda2 which lift modular group liftables via pi_1: 0 The subgroup of modular group liftables which arise from translations is trivial. ----------------------------------------------------------------------- The image of the modular group liftables in PSL(2,Z) equals the image of the pure modular group liftables. Imminent integer overflow halted computation of the slope function at slope -666776/1821627 during the modular group computation. This caused the modular group computation to abort.