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 : Sturm CF expansion a0-1/(a1-1/(...)): (0,) [1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8] (1,) [0, -2, 3, -2, 3, -2, 3, -2, 3, -2, 3, -2, 3, -2, 3, -2] 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 : Sturm CF expansion a0-1/(a1-1/(...)): (0,) [0, -6, 6, -6, 6, -6, 6, -6, 6, -6, 6, -6, 6, -6, 6, -6] (1,) [1, 4, 2, -3, -2, 3, 2, -3, -2, 3, 2, -3, -2, 3, 2, -3] 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 : Sturm CF expansion a0-1/(a1-1/(...)): (0,) [1, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9, 18, 9] (1,) [1, 3, 6, -3, 3, 3, 6, -3, 3, 3, 6, -3, 3, 3, 6, -3] (2,) [0, -2, 3, -6, -3, -3, 3, -6, -3, -3, 3, -6, -3, -3, 3, -6] 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 : Sturm CF expansion a0-1/(a1-1/(...)): (0,) [0, -15, 15, -15, 15, -15, 15, -15, 15, -15, 15, -15, 15, -15, 15, -15] (1,) [1, 3, -5, -3, 5, 3, -5, -3, 5, 3, -5, -3, 5, 3, -5, -3] (2,) [0, -4, 3, 5, -3, -5, 3, 5, -3, -5, 3, 5, -3, -5, 3, 5] 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 : Sturm CF expansion a0-1/(a1-1/(...)): (0,) [1, 5, 30, 5, 30, 5, 30, 5, 30, 5, 30, 5, 30, 5, 30, 5] (1,) [1, 2, -4, -3, 6, 2, -4, -3, 6, 2, -4, -3, 6, 2, -4, -3] (2,) [0, -9, -15, -10, -15, -10, -15, -10, -15, -10, -15, -10, -15, -10, -15, -10] (3,) [-1, -2, 5, -3, -5, -2, 5, -3, -5, -2, 5, -3, -5, -2, 5, -3] 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 : Sturm CF expansion a0-1/(a1-1/(...)): (0,) [1, 2, -12, -2, 12, 2, -12, -2, 12, 2, -12, -2, 12, 2, -12, -2] (1,) [1, 4, -6, -4, 6, 4, -6, -4, 6, 4, -6, -4, 6, 4, -6, -4] (2,) [0, -3, -3, -3, 3, 3, 3, -3, -3, -3, 3, 3, 3, -3, -3, -3] (3,) [0, -5, 4, 6, -4, -6, 4, 6, -4, -6, 4, 6, -4, -6, 4, 6] 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 : Sturm CF expansion a0-1/(a1-1/(...)): (0, 0) [1, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28] (0, 1) [0, -4, -6, -5, -6, -5, -6, -5, -6, -5, -6, -5, -6, -5, -6, -5] (1, 0) [0, -9, -3, -10, -3, -10, -3, -10, -3, -10, -3, -10, -3, -10, -3, -10] (1, 1) [0, 13, -2, 13, -2, 13, -2, 13, -2, 13, -2, 13, -2, 13, -2, 13] 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 : Sturm CF expansion a0-1/(a1-1/(...)): (0, 0) [0, -2, 2, -22, 2, -2, 22, -2, 2, -22, 2, -2, 22, -2, 2, -22] (0, 1) [0, -2, 7, -7, 2, -7, 7, -2, 7, -7, 2, -7, 7, -2, 7, -7] (1, 0) [0, -3, 4, -4, -2, 3, -4, 4, 2, -3, 4, -4, -2, 3, -4, 4] (1, 1) [1, 3, -3, -12, -3, 3, 12, 3, -3, -12, -3, 3, 12, 3, -3, -12] 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 : Sturm CF expansion a0-1/(a1-1/(...)): (0,) [1, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21] (1,) [1, 3, 7, -3, 14, 3, 7, -3, 14, 3, 7, -3, 14, 3, 7, -3] (2,) [1, 2, -2, 4, 5, 9, 2, -2, 4, 5, 9, 2, -2, 4, 5, 9] (3,) [0, -8, -5, -4, 3, 2, -8, -5, -4, 3, 2, -8, -5, -4, 3, 2] (4,) [0, -13, 3, -7, -3, -14, 3, -7, -3, -14, 3, -7, -3, -14, 3, -7] 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 : Sturm CF expansion a0-1/(a1-1/(...)): (0,) [1, 2, -20, -2, 20, 2, -20, -2, 20, 2, -20, -2, 20, 2, -20, -2] (1,) [1, 2, -2, 5, 3, 3, -5, -3, -3, 5, 3, 3, -5, -3, -3, 5] (2,) [0, -10, -4, 10, 4, -10, -4, 10, 4, -10, -4, 10, 4, -10, -4, 10] (3,) [0, -4, -10, 4, 10, -4, -10, 4, 10, -4, -10, 4, 10, -4, -10, 4] (4,) [0, 3, 3, 5, -3, -3, -5, 3, 3, 5, -3, -3, -5, 3, 3, 5] 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 : Sturm CF expansion a0-1/(a1-1/(...)): (0,) [1, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3, 42, 3] (1,) [0, -7, -3, -2, 3, -7, -3, -2, 3, -7, -3, -2, 3, -7, -3, -2] (2,) [-1, -2, 4, -14, -2, 4, -14, -2, 4, -14, -2, 4, -14, -2, 4, -14] (3,) [0, 20, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21] (4,) [1, 2, -13, 5, 2, -13, 5, 2, -13, 5, 2, -13, 5, 2, -13, 5] (5,) [0, -6, 4, 3, 2, -6, 4, 3, 2, -6, 4, 3, 2, -6, 4, 3] 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 : Sturm CF expansion a0-1/(a1-1/(...)): (0,) [1, 3, 2, -37, -3, -2, 37, 3, 2, -37, -3, -2, 37, 3, 2, -37] (1,) [1, 8, 13, 2, -7, -13, -2, 7, 13, 2, -7, -13, -2, 7, 13, 2] (2,) [0, -4, -6, 2, -3, 4, 6, -2, 3, -4, -6, 2, -3, 4, 6, -2] (3,) [0, -3, 3, -18, 3, -3, 18, -3, 3, -18, 3, -3, 18, -3, 3, -18] (4,) [0, 3, -2, 6, 4, -3, 2, -6, -4, 3, -2, 6, 4, -3, 2, -6] (5,) [1, 2, -12, -8, -2, 12, 8, 2, -12, -8, -2, 12, 8, 2, -12, -8] Discriminant of quadratic order and factorisation : 4348 [2, 2; 1087, 1] Class group : structure, generators, unit : [7, [7], [Qfb(3, 62, -42)], 7.68524339678145] unit = 1088 + 33*w norm unit = 1 List and structure of elments in class group : [((0,), Qfb(1, 64, -63)), ((1,), Qfb(19, 42, -34)), ((2,), Qfb(-3, 62, 42)), ((3,), Qfb(14, 62, -9)), ((4,), Qfb(9, 62, -14)), ((5,), Qfb(3, 64, -21)), ((6,), Qfb(-19, 34, 42))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0,) [1, 33, 66, 33, 66, 33, 66, 33, 66, 33, 66, 33, 66, 33, 66, 33] (1,) [1, 3, 3, -3, -4, 6, 4, 3, 3, -3, -4, 6, 4, 3, 3, -3] (2,) [-1, -3, -11, 3, -22, -3, -11, 3, -22, -3, -11, 3, -22, -3, -11, 3] (3,) [0, -7, 9, -4, -2, 4, -7, 9, -4, -2, 4, -7, 9, -4, -2, 4] (4,) [0, -5, -2, 3, -9, 7, -5, -2, 3, -9, 7, -5, -2, 3, -9, 7] (5,) [0, -3, 11, 3, 22, -3, 11, 3, 22, -3, 11, 3, 22, -3, 11, 3] (6,) [-1, -6, 4, 3, -3, -3, -4, -6, 4, 3, -3, -3, -4, -6, 4, 3] 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 : Sturm CF expansion a0-1/(a1-1/(...)): (0,) [1, 2, -24, -2, 24, 2, -24, -2, 24, 2, -24, -2, 24, 2, -24, -2] (1,) [1, 12, -4, -12, 4, 12, -4, -12, 4, 12, -4, -12, 4, 12, -4, -12] (2,) [0, 8, 6, -8, -6, 8, 6, -8, -6, 8, 6, -8, -6, 8, 6, -8] (3,) [0, 2, -3, -2, 3, -2, 3, 2, -3, 2, -3, -2, 3, -2, 3, 2] (4,) [0, 4, 2, -2, 2, -4, -2, 2, -2, 4, 2, -2, 2, -4, -2, 2] (5,) [1, 8, -6, -8, 6, 8, -6, -8, 6, 8, -6, -8, 6, 8, -6, -8] (6,) [-1, -4, 12, 4, -12, -4, 12, 4, -12, -4, 12, 4, -12, -4, 12, 4] Discriminant of quadratic order and factorisation : 1596 [2, 2; 3, 1; 7, 1; 19, 1] Class group : structure, generators, unit : [8, [4, 2], [Qfb(17, 10, -22), 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(7, 28, -29)), ((1, 0), Qfb(5, 36, -15)), ((1, 1), Qfb(23, 26, -10)), ((2, 0), Qfb(-14, 14, 25)), ((2, 1), Qfb(-2, 38, 19)), ((3, 0), Qfb(17, 24, -15)), ((3, 1), Qfb(-10, 26, 23))] Group element : Sturm CF expansion a0-1/(a1-1/(...)): (0, 0) [1, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40, 40] (0, 1) [1, 7, 6, 7, 6, 7, 6, 7, 6, 7, 6, 7, 6, 7, 6, 7] (1, 0) [0, -2, 8, 2, -2, 8, 2, -2, 8, 2, -2, 8, 2, -2, 8, 2] (1, 1) [-1, -3, 3, -4, -3, 3, -4, -3, 3, -4, -3, 3, -4, -3, 3, -4] (2, 0) [-1, -3, -14, -3, -14, -3, -14, -3, -14, -3, -14, -3, -14, -3, -14, -3] (2, 1) [0, 2, -19, 2, -19, 2, -19, 2, -19, 2, -19, 2, -19, 2, -19, 2] (3, 0) [-1, -2, 7, -3, -2, 7, -3, -2, 7, -3, -2, 7, -3, -2, 7, -3] (3, 1) [0, -3, -4, 3, -3, -4, 3, -3, -4, 3, -3, -4, 3, -3, -4, 3] 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 : Sturm CF expansion a0-1/(a1-1/(...)): (0, 0) [0, -42, 42, -42, 42, -42, 42, -42, 42, -42, 42, -42, 42, -42, 42, -42] (0, 1) [0, -21, -2, 21, 2, -21, -2, 21, 2, -21, -2, 21, 2, -21, -2, 21] (1, 0) [0, -14, -3, 14, 3, -14, -3, 14, 3, -14, -3, 14, 3, -14, -3, 14] (1, 1) [0, -7, -6, 7, 6, -7, -6, 7, 6, -7, -6, 7, 6, -7, -6, 7] (2, 0) [0, 2, -4, 4, -2, 4, -4, 2, -4, 4, -2, 4, -4, 2, -4, 4] (2, 1) [-1, -3, -3, -2, 3, 3, 3, 2, -3, -3, -3, -2, 3, 3, 3, 2] (3, 0) [0, 3, 14, -3, -14, 3, 14, -3, -14, 3, 14, -3, -14, 3, 14, -3] (3, 1) [0, 6, 7, -6, -7, 6, 7, -6, -7, 6, 7, -6, -7, 6, 7, -6]