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lf_fields • Show schema
{'associated_inertia': [1, 1], 'aut': 1, 'c': 37, 'canonical_filtration': None, 'coeffs': [7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 42, 14, 0, 1], 'ctr': 45, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^14 + 3*z^7 + 3', '3*z + 1'], 'e': 21, 'eisen': 'x^21 + 14*x^19 + 42*x^18 + 7*x^17 + 7', 'f': 1, 'family': '7.1.21.37a', 'gal': None, 'galT': None, 'galois_degree': None, 'galois_label': None, 'gms': None, 'gsm': [0], 'hidden': None, 'hw': '$i$', 'ind_of_insep': [17, 0], 'ind_of_insep_tmp': ['17A', '0A'], 'inertia': None, 'inertia_gap': None, 'is_completion': False, 'jump_set': [], 'label': '7.21.37.111', 'n': 21, 'new_label': '7.1.21.37a1.45', 'num': 111, 'old_label': '7.21.37.111', 'p': 7, 'packet': None, 'packet_size': None, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 17], [7, 0], [21, 0]], 'residual_polynomials': ['z^14 + 3*z^7 + 3', '3*z + 4'], 'rf': [7, 1], 'slopes': None, 'slopes_tmp': None, 'subfamily': '7.1.21.37a1', 'subfield': ['7.3.2.2'], 'subfield_mult': [1], 't': None, 'top_slope': '01.94444444435/18', 'u': None, 'unram': 't + 4', 'visible': '[35/18]', 'visible_tmp': ['35/18A'], 'wild_gap': None}
Local field data - 7.1.21.37a1.45