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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 2, -3, 0, 3, -2, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 903168, 'disc_rad': 42, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [[6, 1]]], [7, [0]], [11, [[6, 1]]], [13, [[6, 1]]], [17, [[2, 2], [1, 2]]], [19, [[6, 1]]], [23, [[2, 2], [1, 2]]], [29, [[6, 1]]], [31, [[3, 1], [1, 3]]], [37, [[6, 1]]], [41, [[2, 2], [1, 2]]], [43, [[6, 1]]], [47, [[2, 2], [1, 2]]], [53, [[6, 1]]], [59, [[6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [66, 18, 24], 'galois_label': '6T9', 'galt': 9, 'grd': 22.58643281430495, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.2.903168.1', 'local_algs': ['2.6.11.1', '3.2.0.1', '3.4.2.1', '7.3.2.2', '7.3.0.1'], 'monogenic': 1, 'num_ram': 3, 'r2': 2, 'ramps': [2, 3, 7], 'rd': 9.83168804874, 'regulator': {'__RealLiteral__': 0, 'data': '6.82051877032', 'prec': 44}, 'res': {'gal': ['64,0,-256,0,1664,0,-4288,0,16832,0,-7648,0,216944,0,185696,0,137792,0,68480,0,30560,0,10832,0,3500,0,968,0,296,0,68,0,20,0,2,0,1'], 'sex': ['-6,-2,-1,1', '1,5,-1,1'], 'sib': ['-1,-1,8,22,0,10,-6,4,-1,1', '-8,0,-32,0,80,0,428,0,-408,0,60,0,50,0,-16,0,-2,0,1', '1,1,9,36,86,166,506,-158,-181,299,-3,-74,40,-4,0,8,-3,-1,1', '1,2,7,-6,6,-14,15,-10,12,-6,1,-2,1', '6,12,34,-8,94,-40,55,112,-210,248,-153,-16,180,-212,175,-88,34,-8,1']}, 'subfield_mults': [1], 'subfields': ['-2.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{5} - 2 a^{4} + 3 a^{3} - 3 a + 2 \\)', '\\( a^{5} - 2 a^{4} + 3 a^{3} - a^{2} - 2 a + 2 \\)', '\\( a^{4} - a^{3} + 2 a^{2} + 2 a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}