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{'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [-34, 0, 34, 0, 51, 0, -85, 0, 17, 0, 0, 0, 1], 'conductor': 0, 'degree': 12, 'dirichlet_group': [], 'disc_abs': 4492085992834072576, 'disc_rad': 34, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[4, 3]]], [5, [[8, 1], [4, 1]]], [7, [[6, 2]]], [11, [[8, 1], [2, 2]]], [13, [[2, 3], [1, 6]]], [17, [0]], [19, [[4, 1], [3, 2], [2, 1]]], [23, [[4, 2], [2, 2]]], [29, [[8, 1], [4, 1]]], [31, [[6, 2]]], [37, [[4, 2], [2, 2]]], [41, [[12, 1]]], [43, [[4, 1], [2, 3], [1, 2]]], [47, [[6, 1], [3, 2]]], [53, [[6, 1], [4, 1], [2, 1]]], [59, [[6, 1], [4, 1], [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': 8, 'label': '12.2.4492085992834072576.8', 'local_algs': ['2.1.0.1', '2.1.0.1', '2.4.11.15', '2.6.6.1', '17.12.11.2'], 'monogenic': -1, 'num_ram': 2, 'r2': 5, 'ramps': [2, 17], 'rd': 35.8402204073, 'regulator': {'__RealLiteral__': 0, 'data': '126690.654584', '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{584}{4069} a^{10} + \\frac{588}{4069} a^{8} + \\frac{10147}{4069} a^{6} - \\frac{39580}{4069} a^{4} - \\frac{16743}{4069} a^{2} + \\frac{32341}{4069} \\)', '\\( \\frac{123}{4069} a^{10} + \\frac{12}{313} a^{8} + \\frac{2098}{4069} a^{6} - \\frac{7901}{4069} a^{4} - \\frac{3618}{4069} a^{2} + \\frac{3189}{4069} \\)', '\\( \\frac{1041}{4069} a^{10} + \\frac{1076}{4069} a^{8} + \\frac{18596}{4069} a^{6} - \\frac{69633}{4069} a^{4} - \\frac{23414}{4069} a^{2} + \\frac{23585}{4069} \\)', '\\( \\frac{121}{4069} a^{11} + \\frac{123}{4069} a^{10} + \\frac{184}{4069} a^{9} + \\frac{12}{313} a^{8} + \\frac{2298}{4069} a^{7} + \\frac{2098}{4069} a^{6} - \\frac{7088}{4069} a^{5} - \\frac{7901}{4069} a^{4} - \\frac{4460}{4069} a^{3} - \\frac{3618}{4069} a^{2} + \\frac{511}{4069} a + \\frac{11327}{4069} \\)', '\\( \\frac{60}{4069} a^{11} - \\frac{68}{4069} a^{10} + \\frac{99}{4069} a^{9} + \\frac{1}{313} a^{8} + \\frac{1199}{4069} a^{7} - \\frac{399}{4069} a^{6} - \\frac{4358}{4069} a^{5} + \\frac{7610}{4069} a^{4} + \\frac{3663}{4069} a^{3} - \\frac{7031}{4069} a^{2} - \\frac{414}{4069} a + \\frac{1909}{4069} \\)', '\\( \\frac{3431}{4069} a^{11} - \\frac{4613}{4069} a^{10} + \\frac{5176}{4069} a^{9} - \\frac{5217}{4069} a^{8} + \\frac{63487}{4069} a^{7} - \\frac{83320}{4069} a^{6} - \\frac{199198}{4069} a^{5} + \\frac{300012}{4069} a^{4} - \\frac{174072}{4069} a^{3} + \\frac{123101}{4069} a^{2} + \\frac{18049}{4069} a - \\frac{68299}{4069} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', '1/13*a^8 - 1/13*a^6 + 4/13*a^4 + 3/13*a^2 + 5/13', '1/13*a^9 - 1/13*a^7 + 4/13*a^5 + 3/13*a^3 + 5/13*a', '1/4069*a^10 - 14/4069*a^8 - 100/4069*a^6 + 1628/4069*a^4 + 421/4069*a^2 + 103/313', '1/8138*a^11 - 1/8138*a^10 + 23/626*a^9 - 23/626*a^8 + 1828/4069*a^7 - 1828/4069*a^6 - 1189/8138*a^5 + 1189/8138*a^4 + 680/4069*a^3 - 680/4069*a^2 + 1452/4069*a - 1452/4069']}