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lf_fields • Show schema
{'associated_inertia': [2], 'aut': 3, 'c': 14, 'canonical_filtration': ['19.1.1.0a1.1', '19.1.15.14a1.1'], 'coeffs': [19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^14 + 15*z^13 + 10*z^12 + 18*z^11 + 16*z^10 + z^9 + 8*z^8 + 13*z^7 + 13*z^6 + 8*z^5 + z^4 + 16*z^3 + 18*z^2 + 10*z + 15'], 'e': 15, 'eisen': 'x^15 + 19', 'f': 1, 'family': '19.1.15.14a', 'gal': 3, 'galT': 3, 'galois_degree': 30, 'galois_label': '15T3', 'gms': '0.9333333333333333', 'gsm': [0], 'hidden': '[]^{2}', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [15, 1]], 'inertia_gap': [15, 1], 'is_completion': True, 'jump_set': [], 'label': '19.15.14.1', 'n': 15, 'new_label': '19.1.15.14a1.1', 'num': 1, 'old_label': '19.15.14.1', 'p': 19, 'packet': '19.1.15.14a1.3a', 'packet_size': 3, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [15, 0]], 'residual_polynomials': ['z^14 + 15*z^13 + 10*z^12 + 18*z^11 + 16*z^10 + z^9 + 8*z^8 + 13*z^7 + 13*z^6 + 8*z^5 + z^4 + 16*z^3 + 18*z^2 + 10*z + 15'], 'rf': [1, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '19.1.15.14a1', 'subfield': ['19.3.2.2', '19.5.4.1'], 'subfield_mult': [1, 1], 't': 15, 'top_slope': '01.0000000001', 'u': 2, 'unram': 't + 17', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 19.1.15.14a1.1