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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-19, -14, -16, 12, 9, 4, -4, -2, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 284000000, 'disc_rad': 710, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[4, 2]]], [5, [0]], [7, [[8, 1]]], [11, [[2, 3], [1, 2]]], [13, [[4, 1], [2, 2]]], [17, [[4, 1], [2, 2]]], [19, [[4, 1], [2, 1], [1, 2]]], [23, [[8, 1]]], [29, [[2, 2], [1, 4]]], [31, [[4, 1], [2, 2]]], [37, [[2, 4]]], [41, [[4, 1], [2, 2]]], [43, [[4, 2]]], [47, [[8, 1]]], [53, [[4, 1], [2, 2]]], [59, [[4, 1], [1, 4]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [192, 96, 64], 'galois_label': '8T35', 'galt': 35, 'grd': 79.68960444185554, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '8.2.284000000.1', 'local_algs': ['2.4.4.3', '2.4.4.3', '5.8.6.2', '71.1.0.1', '71.1.0.1', '71.2.1.1', '71.4.0.1'], 'monogenic': -1, 'num_ram': 3, 'r2': 3, 'ramps': [2, 5, 71], 'rd': 11.3937003242, 'regulator': {'__RealLiteral__': 0, 'data': '13.5756405655', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1], 'subfields': ['-1.-1.1', '-1.0.-1.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{22} a^{7} - \\frac{3}{44} a^{6} - \\frac{15}{44} a^{5} + \\frac{3}{22} a^{4} + \\frac{43}{44} a^{3} + \\frac{9}{22} a^{2} - \\frac{45}{44} a - \\frac{45}{44} \\)', '\\( \\frac{3}{22} a^{7} - \\frac{9}{44} a^{6} - \\frac{23}{44} a^{5} + \\frac{9}{22} a^{4} + \\frac{19}{44} a^{3} + \\frac{27}{22} a^{2} - \\frac{25}{44} a + \\frac{41}{44} \\)', '\\( \\frac{3}{11} a^{7} - \\frac{9}{22} a^{6} - \\frac{17}{11} a^{5} + \\frac{29}{22} a^{4} + \\frac{37}{11} a^{3} + \\frac{43}{22} a^{2} - \\frac{51}{11} a - \\frac{51}{11} \\)', '\\( \\frac{3}{22} a^{7} + \\frac{1}{22} a^{6} - \\frac{17}{22} a^{5} - \\frac{13}{22} a^{4} + \\frac{15}{22} a^{3} + \\frac{49}{22} a^{2} + \\frac{24}{11} a - \\frac{9}{11} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/2*a^4 - 1/2*a^2 - 1/2', '1/2*a^5 - 1/2*a^3 - 1/2*a', '1/4*a^6 - 1/4*a^5 + 1/4*a^3 - 1/4*a + 1/4', '1/44*a^7 + 1/11*a^6 + 9/44*a^5 + 3/44*a^4 - 17/44*a^3 + 9/44*a^2 - 3/22*a - 17/44']}