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nf_fields • Show schema
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{'cm': False, 'coeffs': [-5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 43, 'disc_abs': 3943517496516112150835347458453732578688700991509015683067847748815326440308126620948314666748046875, 'disc_rad': 215, 'disc_sign': -1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [1764, 1847], 'galois_label': '43T8', 'galt': 8, 'grd': 225.5623000662761, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '43.1.3943517496516112150835347458453732578688700991509015683067847748815326440308126620948314666748046875.1', 'local_algs': ['m5.43.1.42', 'm43.43.1.43'], 'maxp': 43, 'monogenic': 1, 'num_ram': 2, 'r2': 21, 'ramps': [5, 43], 'rd': 207.101547263, 'subfield_mults': [], 'subfields': [], 'torsion_order': 2, 'used_grh': True}
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nf_fields_extra •
{'dirichlet_group': [], 'frobs': [[2, [[14, 3], [1, 1]]], [3, [[42, 1], [1, 1]]], [5, [0]], [7, [[6, 7], [1, 1]]], [11, [[7, 6], [1, 1]]], [13, [[21, 2], [1, 1]]], [17, [[21, 2], [1, 1]]], [19, [[42, 1], [1, 1]]], [23, [[21, 2], [1, 1]]], [29, [[42, 1], [1, 1]]], [31, [[21, 2], [1, 1]]], [37, [[6, 7], [1, 1]]], [41, [[7, 6], [1, 1]]], [43, [0]], [47, [[7, 6], [1, 1]]], [53, [[21, 2], [1, 1]]], [59, [[7, 6], [1, 1]]]], 'label': '43.1.3943517496516112150835347458453732578688700991509015683067847748815326440308126620948314666748046875.1', 'torsion_gen': '\\( -1 \\)', 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11', 'a^12', 'a^13', 'a^14', 'a^15', 'a^16', 'a^17', 'a^18', 'a^19', 'a^20', 'a^21', 'a^22', 'a^23', 'a^24', 'a^25', 'a^26', 'a^27', 'a^28', 'a^29', 'a^30', 'a^31', 'a^32', 'a^33', 'a^34', 'a^35', 'a^36', 'a^37', 'a^38', 'a^39', 'a^40', 'a^41', 'a^42']}