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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 1, 10, 6, 22, 3, 17, -3, 7, -1, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 101928170799, 'disc_rad': 10101, 'disc_sign': -1, 'frobs': [[2, [[8, 1], [2, 1]]], [3, [0]], [5, [[8, 1], [2, 1]]], [7, [0]], [11, [[2, 5]]], [13, [0]], [17, [[8, 1], [2, 1]]], [19, [[5, 1], [4, 1], [1, 1]]], [23, [[8, 1], [2, 1]]], [29, [[8, 1], [2, 1]]], [31, [[5, 1], [4, 1], [1, 1]]], [37, [0]], [41, [[4, 2], [2, 1]]], [43, [[5, 1], [4, 1], [1, 1]]], [47, [[10, 1]]], [53, [[10, 1]]], [59, [[8, 1], [2, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [400, 400, 400, 600], 'galois_label': '10T33', 'galt': 33, 'grd': 247.87493685030424, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.0.101928170799.1', 'local_algs': ['3.10.5.2', '7.1.0.1', '7.1.0.1', '7.4.0.1', '7.4.2.2', '13.1.0.1', '13.1.0.1', '13.2.0.1', '13.2.0.1', '13.4.2.2', '37.1.0.1', '37.4.3.1', '37.5.0.1'], 'monogenic': 0, 'num_ram': 4, 'r2': 5, 'ramps': [3, 7, 13, 37], 'rd': 12.6133202649, 'regulator': {'__RealLiteral__': 0, 'data': '75.155539666', 'prec': 40}, 'res': {}, 'subfield_mults': [1], 'subfields': ['1.-1.1'], 'torsion_gen': '\\( -\\frac{17}{8} a^{9} + 3 a^{8} - \\frac{119}{8} a^{7} + \\frac{21}{2} a^{6} - \\frac{253}{8} a^{5} - a^{4} - \\frac{111}{4} a^{3} - \\frac{7}{2} a^{2} - \\frac{23}{4} a + \\frac{1}{8} \\)', 'torsion_order': 6, 'units': ['\\( \\frac{7}{8} a^{9} + \\frac{33}{8} a^{7} + \\frac{9}{2} a^{6} + \\frac{43}{8} a^{5} + 19 a^{4} + \\frac{37}{4} a^{3} + \\frac{31}{2} a^{2} + \\frac{9}{4} a + \\frac{17}{8} \\)', '\\( \\frac{21}{8} a^{9} - 2 a^{8} + \\frac{123}{8} a^{7} - \\frac{1}{2} a^{6} + \\frac{217}{8} a^{5} + 27 a^{4} + \\frac{119}{4} a^{3} + \\frac{41}{2} a^{2} + \\frac{23}{4} a + \\frac{19}{8} \\)', '\\( \\frac{1}{8} a^{9} + a^{8} - \\frac{9}{8} a^{7} + \\frac{15}{2} a^{6} - \\frac{43}{8} a^{5} + 15 a^{4} + \\frac{3}{4} a^{3} + \\frac{15}{2} a^{2} - \\frac{5}{4} a - \\frac{9}{8} \\)', '\\( \\frac{5}{2} a^{9} - a^{8} + \\frac{27}{2} a^{7} + 6 a^{6} + \\frac{43}{2} a^{5} + 41 a^{4} + 27 a^{3} + 36 a^{2} + 6 a + \\frac{9}{2} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', '1/8*a^9 - 1/8*a^7 - 1/2*a^6 - 3/8*a^5 - 1/4*a^3 - 1/2*a^2 - 1/4*a - 1/8']}