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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-4, 0, 14, 0, -24, 0, 6, 0, 0, 0, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 11866206109696, 'disc_rad': 58, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[5, 2]]], [5, [[5, 2]]], [7, [[6, 1], [2, 1], [1, 2]]], [11, [[5, 2]]], [13, [[3, 2], [2, 2]]], [17, [[5, 2]]], [19, [[5, 2]]], [23, [[4, 1], [2, 3]]], [29, [0]], [31, [[5, 2]]], [37, [[6, 1], [2, 1], [1, 2]]], [41, [[5, 2]]], [43, [[2, 4], [1, 2]]], [47, [[6, 1], [2, 1], [1, 2]]], [53, [[2, 4], [1, 2]]], [59, [[5, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [3330, 640], 'galois_label': '10T34', 'galt': 34, 'grd': 104.50324977272997, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 4, 'label': '10.2.11866206109696.4', 'local_algs': ['2.2.3.4', '2.8.21.60', '29.4.0.1', '29.6.4.1'], 'monogenic': 0, 'num_ram': 2, 'r2': 4, 'ramps': [2, 29], 'rd': 20.2969690159, 'regulator': {'__RealLiteral__': 0, 'data': '1022.85726733', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['2.3.-2.-2.0.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{17}{106} a^{9} + \\frac{6}{53} a^{7} + \\frac{49}{53} a^{5} - \\frac{185}{53} a^{3} - \\frac{49}{53} a + 1 \\)', '\\( \\frac{17}{106} a^{9} + \\frac{6}{53} a^{7} + \\frac{49}{53} a^{5} - \\frac{185}{53} a^{3} - \\frac{49}{53} a - 1 \\)', '\\( \\frac{26}{53} a^{8} + \\frac{9}{53} a^{6} + \\frac{153}{53} a^{4} - \\frac{569}{53} a^{2} + \\frac{165}{53} \\)', '\\( \\frac{46}{53} a^{9} - \\frac{20}{53} a^{8} + \\frac{20}{53} a^{7} - \\frac{11}{53} a^{6} + \\frac{287}{53} a^{5} - \\frac{134}{53} a^{4} - \\frac{970}{53} a^{3} + \\frac{401}{53} a^{2} + \\frac{243}{53} a - \\frac{131}{53} \\)', '\\( \\frac{11}{53} a^{9} + \\frac{6}{53} a^{8} + \\frac{14}{53} a^{7} - \\frac{2}{53} a^{6} + \\frac{79}{53} a^{5} + \\frac{19}{53} a^{4} - \\frac{149}{53} a^{3} - \\frac{168}{53} a^{2} - \\frac{79}{53} a - \\frac{19}{53} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', '1/106*a^8 - 9/53*a^6 + 6/53*a^4 - 14/53*a^2 - 6/53', '1/106*a^9 - 9/53*a^7 + 6/53*a^5 - 14/53*a^3 - 6/53*a']}
Number field data - 10.2.11866206109696.4