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lf_fields • Show schema
{'associated_inertia': [1], 'aut': 4, 'c': 3, 'canonical_filtration': ['37.1.1.0a1.1', '37.1.4.3a1.3'], 'coeffs': [74, 0, 0, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^3 + 4*z^2 + 6*z + 4'], 'e': 4, 'eisen': 'x^4 + 74', 'f': 1, 'family': '37.1.4.3a', 'gal': 1, 'galT': 1, 'galois_degree': 4, 'galois_label': '4T1', 'gms': '0.75', 'gsm': [-284, -266, -69, -1, 1], 'hidden': '[]', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [4, 1]], 'inertia_gap': [4, 1], 'is_completion': True, 'jump_set': [], 'label': '37.4.3.3', 'n': 4, 'new_label': '37.1.4.3a1.2', 'num': 3, 'old_label': '37.4.3.3', 'p': 37, 'packet': '37.1.4.3a1.1a', 'packet_size': 4, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [4, 0]], 'residual_polynomials': ['z^3 + 4*z^2 + 6*z + 4'], 'rf': [37, 1], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '37.1.4.3a1', 'subfield': ['37.2.1.2'], 'subfield_mult': [1], 't': 4, 'top_slope': '01.0000000001', 'u': 1, 'unram': 't + 35', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 37.1.4.3a1.2