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lf_fields • Show schema
{'associated_inertia': [2], 'aut': 2, 'c': 9, 'canonical_filtration': ['109.1.1.0a1.1', '109.1.10.9a1.1'], 'coeffs': [109, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^9 + 10*z^8 + 45*z^7 + 11*z^6 + 101*z^5 + 34*z^4 + 101*z^3 + 11*z^2 + 45*z + 10'], 'e': 10, 'eisen': 'x^10 + 109', 'f': 1, 'family': '109.1.10.9a', 'gal': 3, 'galois_degree': 20, 'galois_label': '10T3', 'gms': '0.9', 'gsm': [0], 'hidden': '[]^{2}', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [10, 1]], 'inertia_gap': [10, 2], 'is_completion': True, 'jump_set': [], 'label': '109.10.9.1', 'n': 10, 'new_label': '109.1.10.9a1.1', 'num': 1, 'old_label': '109.10.9.1', 'p': 109, 'packet': '109.1.10.9a1.3a', 'packet_size': 2, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [10, 0]], 'residual_polynomials': ['z^9 + 10*z^8 + 45*z^7 + 11*z^6 + 101*z^5 + 34*z^4 + 101*z^3 + 11*z^2 + 45*z + 10'], 'rf': [109, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '109.1.10.9a1', 'subfield': ['109.2.1.1', '109.5.4.1'], 'subfield_mult': [1, 1], 't': 10, 'top_slope': '01.0000000001', 'u': 2, 'unram': 't + 103', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 109.1.10.9a1.1