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lf_fields • Show schema
{'associated_inertia': [1, 1], 'aut': 1, 'c': 18, 'canonical_filtration': ['2.1.1.0a1.1', '2.1.1.0a1.1', '2.1.2.2a1.1', '2.1.8.18b1.5'], 'coeffs': [2, 0, 4, 4, 2, 0, 0, 0, 1], 'ctr': 3, 'ctr_family': 3, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^4 + 1', 'z + 1'], 'e': 8, 'eisen': 'x^8 + 2*x^4 + 4*x^3 + 4*x^2 + 2', 'f': 1, 'family': '2.1.8.18c', 'gal': 41, 'galT': 41, 'galois_degree': 192, 'galois_label': '8T41', 'gms': '2.3958333333333335', 'gsm': [5, -20, 44, -56, 56, -32, 16, -4, 1], 'hidden': '[4/3,4/3]^{2}_{3}', 'hw': '$-1$', 'ind_of_insep': [11, 10, 4, 0], 'ind_of_insep_tmp': ['11A', '10A', '4A', '0A'], 'inertia': ['t', [8, 33]], 'inertia_gap': [96, 70], 'is_completion': True, 'jump_set': [1, 2, 11, 19], 'label': '2.8.18.71', 'n': 8, 'new_label': '2.1.8.18c1.3', 'num': 71, 'old_label': '2.8.18.71', 'p': 2, 'packet': '2.1.8.18c1.41a', 'packet_size': 2, 'ppow_roots_of_unity': 2, 'ram_poly_vert': [[1, 11], [4, 4], [8, 0]], 'residual_polynomials': ['z^4 + 1', 'z + 1'], 'rf': [1, 0], 'slopes': '[4/3, 4/3, 2, 8/3, 8/3]', 'slopes_tmp': ['4/3A', '4/3B', '2A', '8/3A', '8/3B'], 'subfamily': '2.1.8.18c1', 'subfield': ['2.2.2.1'], 'subfield_mult': [1], 't': 3, 'top_slope': '02.6666666668/3', 'u': 2, 'unram': 't + 1', 'visible': '[2, 8/3, 8/3]', 'visible_tmp': ['2A', '8/3A', '8/3B'], 'wild_gap': [32, 27]}
Local field data - 2.1.8.18c1.3