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{'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [-34, 0, -476, 0, 833, 0, -442, 0, 119, 0, -17, 0, 1], 'conductor': 0, 'degree': 12, 'dirichlet_group': [], 'disc_abs': 4492085992834072576, 'disc_rad': 34, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[8, 1], [2, 2]]], [5, [[4, 2], [2, 2]]], [7, [[6, 2]]], [11, [[8, 1], [2, 2]]], [13, [[4, 1], [2, 2], [1, 4]]], [17, [0]], [19, [[6, 1], [4, 1], [1, 2]]], [23, [[2, 6]]], [29, [[8, 1], [4, 1]]], [31, [[6, 2]]], [37, [[4, 2], [2, 2]]], [41, [[12, 1]]], [43, [[2, 2], [1, 8]]], [47, [[6, 1], [3, 2]]], [53, [[6, 1], [4, 1], [2, 1]]], [59, [[3, 2], [2, 2], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [14688, 4224], 'galois_label': '12T260', 'galt': 260, 'grd': 122.30511559717738, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 7, 'label': '12.2.4492085992834072576.7', 'local_algs': ['2.1.0.1', '2.1.0.1', '2.4.11.2', '2.6.6.4', '17.12.11.2'], 'monogenic': -1, 'num_ram': 2, 'r2': 5, 'ramps': [2, 17], 'rd': 35.8402204073, 'regulator': {'__RealLiteral__': 0, 'data': '161649.858539', 'prec': 44}, 'res': {}, 'subfield_mults': [1, 1], 'subfields': ['-4.-1.1', '-2.4.-9.4.-1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{11}{897} a^{10} - \\frac{34}{299} a^{8} + \\frac{418}{897} a^{6} - \\frac{349}{299} a^{4} + \\frac{406}{897} a^{2} + \\frac{103}{897} \\)', '\\( \\frac{74}{897} a^{10} - \\frac{263}{299} a^{8} + \\frac{3397}{897} a^{6} - \\frac{2271}{299} a^{4} - \\frac{449}{897} a^{2} + \\frac{271}{897} \\)', '\\( \\frac{2}{69} a^{10} - \\frac{10}{23} a^{8} + \\frac{8}{3} a^{6} - \\frac{204}{23} a^{4} + \\frac{952}{69} a^{2} + \\frac{55}{69} \\)', '\\( \\frac{1}{23} a^{11} + \\frac{17}{897} a^{10} - \\frac{15}{23} a^{9} - \\frac{1}{13} a^{8} + 4 a^{7} - \\frac{446}{897} a^{6} - \\frac{283}{23} a^{5} + \\frac{1075}{299} a^{4} + \\frac{361}{23} a^{3} - \\frac{7364}{897} a^{2} - \\frac{7}{23} a - \\frac{869}{897} \\)', '\\( \\frac{35}{69} a^{11} + \\frac{964}{897} a^{10} - \\frac{139}{23} a^{9} - \\frac{3658}{299} a^{8} + \\frac{2113}{69} a^{7} + \\frac{52232}{897} a^{6} - \\frac{1844}{23} a^{5} - \\frac{41004}{299} a^{4} + \\frac{4999}{69} a^{3} + \\frac{64529}{897} a^{2} - \\frac{1139}{69} a + \\frac{20255}{897} \\)', '\\( \\frac{31}{897} a^{11} - \\frac{14}{897} a^{10} - \\frac{162}{299} a^{9} + \\frac{74}{299} a^{8} + \\frac{3050}{897} a^{7} - \\frac{1273}{897} a^{6} - \\frac{3021}{299} a^{5} + \\frac{1561}{299} a^{4} + \\frac{9788}{897} a^{3} - \\frac{10873}{897} a^{2} + \\frac{3311}{897} a + \\frac{773}{897} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', '1/23*a^8 + 7/23*a^6 - 7/23*a^4 - 7/23', '1/23*a^9 + 7/23*a^7 - 7/23*a^5 - 7/23*a', '1/897*a^10 + 4/299*a^8 + 350/897*a^6 - 27/299*a^4 + 200/897*a^2 - 58/897', '1/1794*a^11 - 1/1794*a^10 + 2/299*a^9 - 2/299*a^8 - 547/1794*a^7 + 547/1794*a^6 - 27/598*a^5 + 27/598*a^4 + 100/897*a^3 - 100/897*a^2 - 29/897*a + 29/897']}