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lf_fields • Show schema
{'associated_inertia': [1, 1], 'aut': 20, 'c': 35, 'canonical_filtration': None, 'coeffs': [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^15 + 4*z^10 + z^5 + 4', '4*z^4 + 1'], 'e': 20, 'eisen': 'x^20 + 20*x^16 + 5', 'f': 1, 'family': '5.1.20.35a', 'gal': 1, 'galois_degree': 20, 'galois_label': '20T1', 'gms': '1.75', 'gsm': [1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [16, 0], 'ind_of_insep_tmp': ['16A', '0A'], 'inertia': ['t', [20, 1]], 'inertia_gap': [20, 2], 'is_completion': True, 'jump_set': [1, 5], 'label': '5.20.35.1030', 'n': 20, 'new_label': '5.1.20.35a1.1', 'num': 1030, 'old_label': '5.20.35.1030', 'p': 5, 'packet': None, 'packet_size': None, 'ppow_roots_of_unity': 2, 'ram_poly_vert': [[1, 16], [5, 0], [20, 0]], 'residual_polynomials': ['z^15 + 4*z^10 + z^5 + 4', '4*z^4 + 1'], 'rf': [5, 0], 'slopes': '[2]', 'slopes_tmp': ['2A'], 'subfamily': '5.1.20.35a1', 'subfield': ['5.2.1.1', '5.4.3.2', '5.5.8.2', '5.10.17.1'], 'subfield_mult': [1, 1, 1, 1], 't': 4, 'top_slope': '02.0000000002', 'u': 1, 'unram': 't + 3', 'visible': '[2]', 'visible_tmp': ['2A'], 'wild_gap': [5, 1]}
Local field data - 5.1.20.35a1.1