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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -4, 0, 7, -3, -2, 5, -3, -1, 1], 'conductor': 0, 'degree': 9, 'dirichlet_group': [], 'disc_abs': 1730969737, 'disc_rad': 102991, 'disc_sign': 1, 'frobs': [[2, [[9, 1]]], [3, [[3, 3]]], [5, [[6, 1], [3, 1]]], [7, [0]], [11, [[6, 1], [3, 1]]], [13, [[3, 3]]], [17, [[3, 3]]], [19, [[3, 3]]], [23, [[9, 1]]], [29, [[3, 1], [2, 1], [1, 4]]], [31, [[3, 3]]], [37, [[6, 1], [3, 1]]], [41, [[3, 2], [2, 1], [1, 1]]], [43, [[3, 2], [2, 1], [1, 1]]], [47, [[3, 3]]], [53, [[6, 1], [3, 1]]], [59, [[9, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [432, 324], 'galois_label': '9T28', 'galt': 28, 'grd': 443.86337475050937, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '9.5.1730969737.1', 'local_algs': ['7.3.2.2', '7.6.4.3', 'm14713.1.1.0', 'm14713.1.1.0', 'm14713.1.2.0', 'm14713.2.1.1', 'm14713.1.3.0'], 'monogenic': 0, 'num_ram': 2, 'r2': 2, 'ramps': [7, 14713], 'rd': 10.6286133465, 'regulator': {'__RealLiteral__': 0, 'data': '13.7667614034', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['1.-2.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{11}{7} a^{8} - \\frac{13}{7} a^{7} - \\frac{23}{7} a^{6} + 8 a^{5} - \\frac{50}{7} a^{4} - \\frac{1}{7} a^{3} + \\frac{60}{7} a^{2} - \\frac{23}{7} a - \\frac{15}{7} \\)', '\\( a \\)', '\\( \\frac{2}{7} a^{8} - \\frac{3}{7} a^{7} - \\frac{8}{7} a^{6} + 2 a^{5} - \\frac{4}{7} a^{4} - \\frac{11}{7} a^{3} + \\frac{30}{7} a^{2} - \\frac{8}{7} a - \\frac{11}{7} \\)', '\\( \\frac{11}{7} a^{8} - \\frac{13}{7} a^{7} - \\frac{30}{7} a^{6} + 9 a^{5} - \\frac{36}{7} a^{4} - \\frac{29}{7} a^{3} + \\frac{88}{7} a^{2} - \\frac{23}{7} a - \\frac{36}{7} \\)', '\\( \\frac{13}{7} a^{8} - \\frac{16}{7} a^{7} - \\frac{31}{7} a^{6} + 10 a^{5} - \\frac{54}{7} a^{4} - \\frac{12}{7} a^{3} + \\frac{83}{7} a^{2} - \\frac{31}{7} a - \\frac{26}{7} \\)', '\\( \\frac{13}{7} a^{8} - \\frac{23}{7} a^{7} - \\frac{24}{7} a^{6} + 12 a^{5} - \\frac{82}{7} a^{4} + \\frac{16}{7} a^{3} + \\frac{76}{7} a^{2} - \\frac{45}{7} a - \\frac{26}{7} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', '1/7*a^8 + 2/7*a^7 + 3/7*a^6 - 2/7*a^4 - 2/7*a^3 + 1/7*a^2 + 3/7*a - 2/7']}