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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-97, -84, 112, 91, -21, -21, 0, 1], 'conductor': 49, 'degree': 7, 'dirichlet_group': [1, 36, 22, 8, 43, 29, 15], 'disc_abs': 13841287201, 'disc_rad': 7, 'disc_sign': 1, 'frobs': [[2, [[7, 1]]], [3, [[7, 1]]], [5, [[7, 1]]], [7, [0]], [11, [[7, 1]]], [13, [[7, 1]]], [17, [[7, 1]]], [19, [[1, 7]]], [23, [[7, 1]]], [29, [[7, 1]]], [31, [[1, 7]]], [37, [[7, 1]]], [41, [[7, 1]]], [43, [[7, 1]]], [47, [[7, 1]]], [53, [[7, 1]]], [59, [[7, 1]]]], 'gal_is_abelian': True, 'gal_is_cyclic': True, 'gal_is_solvable': True, 'galois_disc_exponents': [12], 'galois_label': '7T1', 'galt': 1, 'grd': 28.102146738487733, 'index': 1, 'inessentialp': [], 'is_galois': True, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '7.7.13841287201.1', 'local_algs': ['7.7.12.1'], 'monogenic': -1, 'num_ram': 1, 'r2': 0, 'ramps': [7], 'rd': 28.1021467385, 'regulator': {'__RealLiteral__': 0, 'data': '550.88577714', 'prec': 40}, 'res': {}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{125}{589} a^{6} - \\frac{164}{589} a^{5} - \\frac{2358}{589} a^{4} + \\frac{431}{589} a^{3} + \\frac{10131}{589} a^{2} + \\frac{972}{589} a - \\frac{10258}{589} \\)', '\\( \\frac{315}{589} a^{6} - \\frac{696}{589} a^{5} - \\frac{5094}{589} a^{4} + \\frac{4573}{589} a^{3} + \\frac{19004}{589} a^{2} - \\frac{5773}{589} a - \\frac{14400}{589} \\)', '\\( \\frac{110}{589} a^{6} - \\frac{215}{589} a^{5} - \\frac{1863}{589} a^{4} + \\frac{1251}{589} a^{3} + \\frac{7431}{589} a^{2} - \\frac{1642}{589} a - \\frac{5870}{589} \\)', '\\( \\frac{10}{589} a^{6} + \\frac{34}{589} a^{5} - \\frac{330}{589} a^{4} - \\frac{743}{589} a^{3} + \\frac{2389}{589} a^{2} + \\frac{3117}{589} a - \\frac{5085}{589} \\)', '\\( \\frac{320}{589} a^{6} - \\frac{679}{589} a^{5} - \\frac{5259}{589} a^{4} + \\frac{4496}{589} a^{3} + \\frac{19315}{589} a^{2} - \\frac{6276}{589} a - \\frac{14881}{589} \\)', '\\( \\frac{379}{589} a^{6} - \\frac{714}{589} a^{5} - \\frac{6617}{589} a^{4} + \\frac{4412}{589} a^{3} + \\frac{26401}{589} a^{2} - \\frac{5968}{589} a - \\frac{20439}{589} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', '1/589*a^6 + 239/589*a^5 - 33/589*a^4 - 251/589*a^3 + 180/589*a^2 + 135/589*a - 214/589']}