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{'class_group': [3], 'class_number': 3, 'cm': False, 'coeffs': [-261, 61, -1, 1], 'conductor': 0, 'degree': 3, 'dirichlet_group': [], 'disc_abs': 68276, 'disc_rad': 2626, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[1, 3]]], [5, [[1, 3]]], [7, [[3, 1]]], [11, [[3, 1]]], [13, [0]], [17, [[3, 1]]], [19, [[2, 1], [1, 1]]], [23, [[2, 1], [1, 1]]], [29, [[2, 1], [1, 1]]], [31, [[2, 1], [1, 1]]], [37, [[3, 1]]], [41, [[2, 1], [1, 1]]], [43, [[2, 1], [1, 1]]], [47, [[2, 1], [1, 1]]], [53, [[2, 1], [1, 1]]], [59, [[3, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [6, 4, 3], 'galois_label': '3T2', 'galt': 2, 'grd': 111.12699842931698, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '3.1.68276.1', 'local_algs': ['2.1.0.1', '2.2.2.2', '13.3.2.3', '101.1.0.1', '101.2.1.1'], 'monogenic': -1, 'num_ram': 3, 'r2': 1, 'ramps': [2, 13, 101], 'rd': 40.8716988671, 'regulator': {'__RealLiteral__': 0, 'data': '66.0079853379', 'prec': 44}, 'res': {'gal': ['10100,0,2076,0,-27,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{405227272129}{3} a^{2} - \\frac{67433961121391}{3} a + 80941318473431 \\)'], 'unitsGmodule': [[3, 1]], 'used_grh': False, 'zk': ['1', 'a', '1/6*a^2 - 1/3*a - 1/2']}