Discriminant of quadratic order and factorisation : 60 [2, 2; 3, 1; 5, 1] Class group : structure, generators, unit : [2, [2], [Qfb(2, 6, -3)], 2.06343706889556] unit = 4 + w norm unit = 1 List and structure of elments in class group : [((0,), Qfb(1, 6, -6)), ((1,), Qfb(2, 6, -3))] Group element : Hermite CF expansion a0+s0/(a1+s1/(...)): (0,) [(1, -1), (8, -1), (8, -1), (8, -1), (8, -1), (8, -1), (8, -1), (8, -1), (8, -1), (8, -1), (8, -1), (8, -1)] (1,) [(0, 1), (2, 1), (3, 1), (2, 1), (3, 1), (2, 1), (3, 1), (2, 1), (3, 1), (2, 1), (3, 1), (2, 1)] Discriminant of quadratic order and factorisation : 40 [2, 3; 5, 1] Class group : structure, generators, unit : [2, [2], [Qfb(3, 2, -3)], 1.81844645923207] unit = 3 + w norm unit = -1 List and structure of elments in class group : [((0,), Qfb(1, 6, -1)), ((1,), Qfb(3, 2, -3))] Group element : Hermite CF expansion a0+s0/(a1+s1/(...)): (0,) [(0, 1), (6, 1), (6, 1), (6, 1), (6, 1), (6, 1), (6, 1), (6, 1), (6, 1), (6, 1), (6, 1), (6, 1)] (1,) [(1, -1), (4, -1), (2, 1), (3, -1), (2, 1), (3, -1), (2, 1), (3, -1), (2, 1), (3, -1), (2, 1), (3, -1)] Discriminant of quadratic order and factorisation : 316 [2, 2; 79, 1] Class group : structure, generators, unit : [3, [3], [Qfb(6, 10, -9)], 5.07513475044481] unit = 80 + 9*w norm unit = 1 List and structure of elments in class group : [((0,), Qfb(1, 16, -15)), ((1,), Qfb(6, 10, -9)), ((2,), Qfb(9, 10, -6))] Group element : Hermite CF expansion a0+s0/(a1+s1/(...)): (0,) [(1, -1), (9, -1), (18, -1), (9, -1), (18, -1), (9, -1), (18, -1), (9, -1), (18, -1), (9, -1), (18, -1), (9, -1)] (1,) [(1, -1), (3, -1), (6, 1), (3, 1), (3, -1), (3, -1), (6, 1), (3, 1), (3, -1), (3, -1), (6, 1), (3, 1)] (2,) [(0, 1), (2, 1), (3, 1), (6, -1), (3, -1), (3, 1), (3, 1), (6, -1), (3, -1), (3, 1), (3, 1), (6, -1)] Discriminant of quadratic order and factorisation : 229 Mat([229, 1]) Class group : structure, generators, unit : [3, [3], [Qfb(3, 11, -9)], 2.71246530518434] unit = 7 + w norm unit = -1 List and structure of elments in class group : [((0,), Qfb(1, 15, -1)), ((1,), Qfb(3, 11, -9)), ((2,), Qfb(9, 11, -3))] Group element : Hermite CF expansion a0+s0/(a1+s1/(...)): (0,) [(0, 1), (15, 1), (15, 1), (15, 1), (15, 1), (15, 1), (15, 1), (15, 1), (15, 1), (15, 1), (15, 1), (15, 1)] (1,) [(1, -1), (3, 1), (5, -1), (3, 1), (5, -1), (3, 1), (5, -1), (3, 1), (5, -1), (3, 1), (5, -1), (3, 1)] (2,) [(0, 1), (4, 1), (3, -1), (5, 1), (3, -1), (5, 1), (3, -1), (5, 1), (3, -1), (5, 1), (3, -1), (5, 1)] Discriminant of quadratic order and factorisation : 876 [2, 2; 3, 1; 73, 1] Class group : structure, generators, unit : [4, [4], [Qfb(5, 24, -15)], 4.99716661687553] unit = 74 + 5*w norm unit = 1 List and structure of elments in class group : [((0,), Qfb(1, 28, -23)), ((1,), Qfb(5, 24, -15)), ((2,), Qfb(25, 24, -3)), ((3,), Qfb(-7, 22, 14))] Group element : Hermite CF expansion a0+s0/(a1+s1/(...)): (0,) [(1, -1), (5, -1), (30, -1), (5, -1), (30, -1), (5, -1), (30, -1), (5, -1), (30, -1), (5, -1), (30, -1), (5, -1)] (1,) [(1, -1), (2, 1), (4, -1), (3, 1), (6, -1), (2, 1), (4, -1), (3, 1), (6, -1), (2, 1), (4, -1), (3, 1)] (2,) [(0, 1), (9, -1), (15, -1), (10, -1), (15, -1), (10, -1), (15, -1), (10, -1), (15, -1), (10, -1), (15, -1), (10, -1)] (3,) [(-1, 1), (2, 1), (5, 1), (3, -1), (5, -1), (2, 1), (5, 1), (3, -1), (5, -1), (2, 1), (5, 1), (3, -1)] Discriminant of quadratic order and factorisation : 145 [5, 1; 29, 1] Class group : structure, generators, unit : [4, [4], [Qfb(2, 9, -8)], 3.17978543769988] unit = 11 + 2*w norm unit = -1 List and structure of elments in class group : [((0,), Qfb(1, 11, -6)), ((1,), Qfb(2, 9, -8)), ((2,), Qfb(4, 9, -4)), ((3,), Qfb(8, 9, -2))] Group element : Hermite CF expansion a0+s0/(a1+s1/(...)): (0,) [(1, -1), (2, 1), (12, -1), (2, 1), (12, -1), (2, 1), (12, -1), (2, 1), (12, -1), (2, 1), (12, -1), (2, 1)] (1,) [(1, -1), (4, 1), (6, -1), (4, 1), (6, -1), (4, 1), (6, -1), (4, 1), (6, -1), (4, 1), (6, -1), (4, 1)] (2,) [(0, 1), (3, -1), (3, -1), (3, 1), (3, -1), (3, -1), (3, 1), (3, -1), (3, -1), (3, 1), (3, -1), (3, -1)] (3,) [(0, 1), (5, 1), (4, -1), (6, 1), (4, -1), (6, 1), (4, -1), (6, 1), (4, -1), (6, 1), (4, -1), (6, 1)] Discriminant of quadratic order and factorisation : 780 [2, 2; 3, 1; 5, 1; 13, 1] Class group : structure, generators, unit : [4, [2, 2], [Qfb(17, 10, -10), Qfb(19, 18, -6)], 3.33092655264125] unit = 14 + w norm unit = 1 List and structure of elments in class group : [((0, 0), Qfb(1, 26, -26)), ((0, 1), Qfb(19, 18, -6)), ((1, 0), Qfb(17, 24, -3)), ((1, 1), Qfb(-13, 26, 2))] Group element : Hermite CF expansion a0+s0/(a1+s1/(...)): (0, 0) [(1, -1), (28, -1), (28, -1), (28, -1), (28, -1), (28, -1), (28, -1), (28, -1), (28, -1), (28, -1), (28, -1), (28, -1)] (0, 1) [(0, 1), (4, -1), (6, -1), (5, -1), (6, -1), (5, -1), (6, -1), (5, -1), (6, -1), (5, -1), (6, -1), (5, -1)] (1, 0) [(0, 1), (9, -1), (3, -1), (10, -1), (3, -1), (10, -1), (3, -1), (10, -1), (3, -1), (10, -1), (3, -1), (10, -1)] (1, 1) [(0, -1), (13, 1), (2, 1), (13, 1), (2, 1), (13, 1), (2, 1), (13, 1), (2, 1), (13, 1), (2, 1), (13, 1)] Discriminant of quadratic order and factorisation : 520 [2, 3; 5, 1; 13, 1] Class group : structure, generators, unit : [4, [2, 2], [Qfb(6, 16, -11), Qfb(3, 20, -10)], 4.73627538626766] unit = 57 + 5*w norm unit = -1 List and structure of elments in class group : [((0, 0), Qfb(1, 22, -9)), ((0, 1), Qfb(3, 20, -10)), ((1, 0), Qfb(11, 16, -6)), ((1, 1), Qfb(2, 20, -15))] Group element : Hermite CF expansion a0+s0/(a1+s1/(...)): (0, 0) [(0, 1), (2, 1), (2, 1), (22, 1), (2, 1), (2, 1), (22, 1), (2, 1), (2, 1), (22, 1), (2, 1), (2, 1)] (0, 1) [(0, 1), (2, 1), (7, 1), (7, 1), (2, 1), (7, 1), (7, 1), (2, 1), (7, 1), (7, 1), (2, 1), (7, 1)] (1, 0) [(0, 1), (3, 1), (4, 1), (4, -1), (2, 1), (3, 1), (4, 1), (4, -1), (2, 1), (3, 1), (4, 1), (4, -1)] (1, 1) [(1, -1), (3, 1), (3, -1), (12, -1), (3, 1), (3, -1), (12, -1), (3, 1), (3, -1), (12, -1), (3, 1), (3, -1)] Discriminant of quadratic order and factorisation : 1756 [2, 2; 439, 1] Class group : structure, generators, unit : [5, [5], [Qfb(3, 38, -26)], 6.77992061614744] unit = 440 + 21*w norm unit = 1 List and structure of elments in class group : [((0,), Qfb(1, 40, -39)), ((1,), Qfb(3, 38, -26)), ((2,), Qfb(5, 36, -23)), ((3,), Qfb(23, 36, -5)), ((4,), Qfb(26, 38, -3))] Group element : Hermite CF expansion a0+s0/(a1+s1/(...)): (0,) [(1, -1), (21, -1), (42, -1), (21, -1), (42, -1), (21, -1), (42, -1), (21, -1), (42, -1), (21, -1), (42, -1), (21, -1)] (1,) [(1, -1), (3, -1), (7, 1), (3, 1), (14, -1), (3, -1), (7, 1), (3, 1), (14, -1), (3, -1), (7, 1), (3, 1)] (2,) [(1, -1), (2, 1), (2, 1), (4, -1), (5, -1), (9, -1), (2, 1), (2, 1), (4, -1), (5, -1), (9, -1), (2, 1)] (3,) [(0, 1), (8, -1), (5, -1), (4, 1), (3, -1), (2, 1), (8, -1), (5, -1), (4, 1), (3, -1), (2, 1), (8, -1)] (4,) [(0, 1), (13, 1), (3, 1), (7, -1), (3, -1), (14, 1), (3, 1), (7, -1), (3, -1), (14, 1), (3, 1), (7, -1)] Discriminant of quadratic order and factorisation : 401 Mat([401, 1]) Class group : structure, generators, unit : [5, [5], [Qfb(2, 17, -14)], 3.68950386898891] unit = 19 + 2*w norm unit = -1 List and structure of elments in class group : [((0,), Qfb(1, 19, -10)), ((1,), Qfb(2, 17, -14)), ((2,), Qfb(4, 17, -7)), ((3,), Qfb(7, 17, -4)), ((4,), Qfb(-5, 11, 14))] Group element : Hermite CF expansion a0+s0/(a1+s1/(...)): (0,) [(1, -1), (2, 1), (20, -1), (2, 1), (20, -1), (2, 1), (20, -1), (2, 1), (20, -1), (2, 1), (20, -1), (2, 1)] (1,) [(1, -1), (2, 1), (2, 1), (5, -1), (3, -1), (3, 1), (5, -1), (3, -1), (3, 1), (5, -1), (3, -1), (3, 1)] (2,) [(0, 1), (10, -1), (4, 1), (10, -1), (4, 1), (10, -1), (4, 1), (10, -1), (4, 1), (10, -1), (4, 1), (10, -1)] (3,) [(0, 1), (4, -1), (10, 1), (4, -1), (10, 1), (4, -1), (10, 1), (4, -1), (10, 1), (4, -1), (10, 1), (4, -1)] (4,) [(0, -1), (3, -1), (3, -1), (5, 1), (3, -1), (3, -1), (5, 1), (3, -1), (3, -1), (5, 1), (3, -1), (3, -1)] Discriminant of quadratic order and factorisation : 1708 [2, 2; 7, 1; 61, 1] Class group : structure, generators, unit : [6, [6], [Qfb(11, 38, -6)], 4.82021652283912] unit = 62 + 3*w norm unit = 1 List and structure of elments in class group : [((0,), Qfb(1, 40, -27)), ((1,), Qfb(11, 38, -6)), ((2,), Qfb(-3, 38, 22)), ((3,), Qfb(-33, 38, 2)), ((4,), Qfb(9, 32, -19)), ((5,), Qfb(23, 34, -6))] Group element : Hermite CF expansion a0+s0/(a1+s1/(...)): (0,) [(1, -1), (3, -1), (42, -1), (3, -1), (42, -1), (3, -1), (42, -1), (3, -1), (42, -1), (3, -1), (42, -1), (3, -1)] (1,) [(0, 1), (7, -1), (3, -1), (2, 1), (3, 1), (7, -1), (3, -1), (2, 1), (3, 1), (7, -1), (3, -1), (2, 1)] (2,) [(-1, 1), (2, 1), (4, 1), (14, -1), (2, 1), (4, 1), (14, -1), (2, 1), (4, 1), (14, -1), (2, 1), (4, 1)] (3,) [(0, -1), (20, -1), (6, -1), (21, -1), (6, -1), (21, -1), (6, -1), (21, -1), (6, -1), (21, -1), (6, -1), (21, -1)] (4,) [(1, -1), (2, 1), (13, 1), (5, -1), (2, 1), (13, 1), (5, -1), (2, 1), (13, 1), (5, -1), (2, 1), (13, 1)] (5,) [(0, 1), (6, 1), (4, -1), (3, -1), (2, 1), (6, 1), (4, -1), (3, -1), (2, 1), (6, 1), (4, -1), (3, -1)] Discriminant of quadratic order and factorisation : 1384 [2, 3; 173, 1] Class group : structure, generators, unit : [6, [6], [Qfb(19, 4, -18)], 5.22577557753576] unit = 93 + 5*w norm unit = -1 List and structure of elments in class group : [((0,), Qfb(1, 36, -22)), ((1,), Qfb(3, 32, -30)), ((2,), Qfb(9, 32, -10)), ((3,), Qfb(-11, 30, 11)), ((4,), Qfb(10, 32, -9)), ((5,), Qfb(30, 32, -3))] Group element : Hermite CF expansion a0+s0/(a1+s1/(...)): (0,) [(1, -1), (3, -1), (2, 1), (37, -1), (3, -1), (2, 1), (37, -1), (3, -1), (2, 1), (37, -1), (3, -1), (2, 1)] (1,) [(1, -1), (8, -1), (2, 1), (12, -1), (8, -1), (2, 1), (12, -1), (8, -1), (2, 1), (12, -1), (8, -1), (2, 1)] (2,) [(0, 1), (3, 1), (2, 1), (6, -1), (4, 1), (3, 1), (2, 1), (6, -1), (4, 1), (3, 1), (2, 1), (6, -1)] (3,) [(0, -1), (3, 1), (18, 1), (3, 1), (3, 1), (18, 1), (3, 1), (3, 1), (18, 1), (3, 1), (3, 1), (18, 1)] (4,) [(0, 1), (4, -1), (6, 1), (2, 1), (3, 1), (4, -1), (6, 1), (2, 1), (3, 1), (4, -1), (6, 1), (2, 1)] (5,) [(0, 1), (12, -1), (2, 1), (7, -1), (13, -1), (2, 1), (7, -1), (13, -1), (2, 1), (7, -1), (13, -1), (2, 1)] Discriminant of quadratic order and factorisation : 4348 [2, 2; 1087, 1] Class group : structure, generators, unit : [7, [7], [Qfb(19, 42, -34)], 7.68524339678145] unit = 1088 + 33*w norm unit = 1 List and structure of elments in class group : [((0,), Qfb(1, 64, -63)), ((1,), Qfb(3, 62, -42)), ((2,), Qfb(9, 62, -14)), ((3,), Qfb(19, 34, -42)), ((4,), Qfb(42, 34, -19)), ((5,), Qfb(14, 62, -9)), ((6,), Qfb(42, 62, -3))] Group element : Hermite CF expansion a0+s0/(a1+s1/(...)): (0,) [(1, -1), (33, -1), (66, -1), (33, -1), (66, -1), (33, -1), (66, -1), (33, -1), (66, -1), (33, -1), (66, -1), (33, -1)] (1,) [(1, -1), (3, -1), (3, 1), (3, -1), (4, 1), (6, -1), (4, -1), (3, -1), (3, 1), (3, -1), (4, 1), (6, -1)] (2,) [(-1, 1), (3, -1), (11, 1), (3, 1), (22, -1), (3, -1), (11, 1), (3, 1), (22, -1), (3, -1), (11, 1), (3, 1)] (3,) [(0, 1), (7, 1), (9, 1), (4, -1), (2, 1), (4, 1), (7, 1), (9, 1), (4, -1), (2, 1), (4, 1), (7, 1)] (4,) [(0, 1), (5, -1), (2, 1), (3, 1), (9, 1), (7, 1), (5, -1), (2, 1), (3, 1), (9, 1), (7, 1), (5, -1)] (5,) [(0, 1), (3, 1), (11, -1), (3, -1), (22, 1), (3, 1), (11, -1), (3, -1), (22, 1), (3, 1), (11, -1), (3, -1)] (6,) [(-1, 1), (6, 1), (4, -1), (3, 1), (3, -1), (3, -1), (4, -1), (6, 1), (4, -1), (3, 1), (3, -1), (3, -1)] Discriminant of quadratic order and factorisation : 577 Mat([577, 1]) Class group : structure, generators, unit : [7, [7], [Qfb(6, 13, -17)], 3.87163475638773] unit = 23 + 2*w norm unit = -1 List and structure of elments in class group : [((0,), Qfb(1, 23, -12)), ((1,), Qfb(6, 13, -17)), ((2,), Qfb(-4, 23, 3)), ((3,), Qfb(-6, 19, 9)), ((4,), Qfb(-9, 19, 6)), ((5,), Qfb(4, 17, -18)), ((6,), Qfb(-2, 21, 17))] Group element : Hermite CF expansion a0+s0/(a1+s1/(...)): (0,) [(1, -1), (2, 1), (24, -1), (2, 1), (24, -1), (2, 1), (24, -1), (2, 1), (24, -1), (2, 1), (24, -1), (2, 1)] (1,) [(1, -1), (12, 1), (4, -1), (12, 1), (4, -1), (12, 1), (4, -1), (12, 1), (4, -1), (12, 1), (4, -1), (12, 1)] (2,) [(0, -1), (8, -1), (6, 1), (8, -1), (6, 1), (8, -1), (6, 1), (8, -1), (6, 1), (8, -1), (6, 1), (8, -1)] (3,) [(0, -1), (2, 1), (3, -1), (2, 1), (3, 1), (2, 1), (3, -1), (2, 1), (3, 1), (2, 1), (3, -1), (2, 1)] (4,) [(0, -1), (4, -1), (2, 1), (2, 1), (2, 1), (4, -1), (2, 1), (2, 1), (2, 1), (4, -1), (2, 1), (2, 1)] (5,) [(1, -1), (8, 1), (6, -1), (8, 1), (6, -1), (8, 1), (6, -1), (8, 1), (6, -1), (8, 1), (6, -1), (8, 1)] (6,) [(-1, 1), (4, 1), (12, -1), (4, 1), (12, -1), (4, 1), (12, -1), (4, 1), (12, -1), (4, 1), (12, -1), (4, 1)] Discriminant of quadratic order and factorisation : 1596 [2, 2; 3, 1; 7, 1; 19, 1] Class group : structure, generators, unit : [8, [4, 2], [Qfb(13, 32, -11), Qfb(2, 38, -19)], 3.68825386736130] unit = 20 + w norm unit = 1 List and structure of elments in class group : [((0, 0), Qfb(1, 38, -38)), ((0, 1), Qfb(2, 38, -19)), ((1, 0), Qfb(5, 36, -15)), ((1, 1), Qfb(-11, 34, 10)), ((2, 0), Qfb(-14, 14, 25)), ((2, 1), Qfb(-7, 28, 29)), ((3, 0), Qfb(17, 24, -15)), ((3, 1), Qfb(-11, 32, 13))] Group element : Hermite CF expansion a0+s0/(a1+s1/(...)): (0, 0) [(1, -1), (40, -1), (40, -1), (40, -1), (40, -1), (40, -1), (40, -1), (40, -1), (40, -1), (40, -1), (40, -1), (40, -1)] (0, 1) [(0, 1), (2, 1), (19, 1), (2, 1), (19, 1), (2, 1), (19, 1), (2, 1), (19, 1), (2, 1), (19, 1), (2, 1)] (1, 0) [(0, 1), (3, -1), (2, 1), (7, 1), (3, -1), (2, 1), (7, 1), (3, -1), (2, 1), (7, 1), (3, -1), (2, 1)] (1, 1) [(0, -1), (4, -1), (3, 1), (3, 1), (4, -1), (3, 1), (3, 1), (4, -1), (3, 1), (3, 1), (4, -1), (3, 1)] (2, 0) [(-1, 1), (14, -1), (3, -1), (14, -1), (3, -1), (14, -1), (3, -1), (14, -1), (3, -1), (14, -1), (3, -1), (14, -1)] (2, 1) [(-1, 1), (7, -1), (6, -1), (7, -1), (6, -1), (7, -1), (6, -1), (7, -1), (6, -1), (7, -1), (6, -1), (7, -1)] (3, 0) [(0, 1), (2, 1), (8, -1), (2, 1), (2, 1), (8, -1), (2, 1), (2, 1), (8, -1), (2, 1), (2, 1), (8, -1)] (3, 1) [(0, -1), (3, -1), (4, 1), (3, 1), (3, -1), (4, 1), (3, 1), (3, -1), (4, 1), (3, 1), (3, -1), (4, 1)] Discriminant of quadratic order and factorisation : 1768 [2, 3; 13, 1; 17, 1] Class group : structure, generators, unit : [8, [4, 2], [Qfb(3, 38, -27), Qfb(21, 40, -2)], 3.73823603026154] unit = 21 + w norm unit = -1 List and structure of elments in class group : [((0, 0), Qfb(1, 42, -1)), ((0, 1), Qfb(21, 40, -2)), ((1, 0), Qfb(14, 40, -3)), ((1, 1), Qfb(7, 40, -6)), ((2, 0), Qfb(-9, 34, 17)), ((2, 1), Qfb(-13, 26, 21)), ((3, 0), Qfb(-3, 40, 14)), ((3, 1), Qfb(-6, 40, 7))] Group element : Hermite CF expansion a0+s0/(a1+s1/(...)): (0, 0) [(0, 1), (42, 1), (42, 1), (42, 1), (42, 1), (42, 1), (42, 1), (42, 1), (42, 1), (42, 1), (42, 1), (42, 1)] (0, 1) [(0, 1), (21, -1), (2, 1), (21, -1), (2, 1), (21, -1), (2, 1), (21, -1), (2, 1), (21, -1), (2, 1), (21, -1)] (1, 0) [(0, 1), (14, -1), (3, 1), (14, -1), (3, 1), (14, -1), (3, 1), (14, -1), (3, 1), (14, -1), (3, 1), (14, -1)] (1, 1) [(0, 1), (7, -1), (6, 1), (7, -1), (6, 1), (7, -1), (6, 1), (7, -1), (6, 1), (7, -1), (6, 1), (7, -1)] (2, 0) [(0, -1), (2, 1), (4, 1), (4, 1), (2, 1), (4, 1), (4, 1), (2, 1), (4, 1), (4, 1), (2, 1), (4, 1)] (2, 1) [(-1, 1), (3, -1), (3, -1), (2, 1), (3, -1), (3, -1), (3, -1), (2, 1), (3, -1), (3, -1), (3, -1), (2, 1)] (3, 0) [(0, -1), (3, -1), (14, 1), (3, -1), (14, 1), (3, -1), (14, 1), (3, -1), (14, 1), (3, -1), (14, 1), (3, -1)] (3, 1) [(0, -1), (6, -1), (7, 1), (6, -1), (7, 1), (6, -1), (7, 1), (6, -1), (7, 1), (6, -1), (7, 1), (6, -1)]