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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-24, 0, 36, 0, -12, 0, 1], 'conductor': 72, 'degree': 6, 'dirichlet_group': [1, 35, 59, 49, 25, 11], 'disc_abs': 10077696, 'disc_rad': 6, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[3, 2]]], [7, [[6, 1]]], [11, [[6, 1]]], [13, [[6, 1]]], [17, [[2, 3]]], [19, [[1, 6]]], [23, [[3, 2]]], [29, [[3, 2]]], [31, [[6, 1]]], [37, [[2, 3]]], [41, [[6, 1]]], [43, [[3, 2]]], [47, [[3, 2]]], [53, [[1, 6]]], [59, [[6, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [9, 9], 'galois_label': '6T1', 'galt': 1, 'grd': 14.696938456699069, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.6.10077696.1', 'local_algs': ['2.6.9.7', '3.6.9.10'], 'monogenic': 0, 'num_ram': 2, 'r2': 0, 'ramps': [2, 3], 'rd': 14.6969384567, 'regulator': {'__RealLiteral__': 0, 'data': '34.7337150265', 'prec': 44}, 'res': {'sex': ['-1,-3,0,1', '-6,0,1', '0,1']}, 'subfield_mults': [1, 1], 'subfields': ['-6.0.1', '-1.-3.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{4} a^{4} - \\frac{5}{2} a^{2} + 5 \\)', '\\( \\frac{1}{4} a^{4} - \\frac{5}{2} a^{2} + 4 \\)', '\\( \\frac{1}{4} a^{5} + \\frac{1}{4} a^{4} - \\frac{5}{2} a^{3} - 2 a^{2} + 4 a + 1 \\)', '\\( \\frac{1}{4} a^{5} - \\frac{1}{4} a^{4} - \\frac{5}{2} a^{3} + \\frac{5}{2} a^{2} + 5 a - 5 \\)', '\\( \\frac{1}{2} a^{2} - a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2', '1/2*a^3', '1/4*a^4', '1/4*a^5']}