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lf_fields • Show schema
{'associated_inertia': [2, 4], 'aut': 1, 'c': 18, 'canonical_filtration': ['5.1.1.0a1.1', '5.1.3.2a1.1'], 'coeffs': [5, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 4, 'distinguished_residual_polynomials': ['z^10 + 3*z^5 + 3', '3*z^4 + 4'], 'e': 15, 'eisen': 'x^15 + 20*x^4 + 5', 'f': 1, 'family': '5.1.15.18a', 'gal': 17, 'galT': 17, 'galois_degree': 300, 'galois_label': '15T17', 'gms': '1.3066666666666666', 'gsm': [432, 0, -9120, -15880, -5520, 3352, 4860, 1600, -3400, 1430, -586, 210, -25, 5, -5, 1], 'hidden': '[4/3]^{4}', 'hw': '$1$', 'ind_of_insep': [4, 0], 'ind_of_insep_tmp': ['4A', '0A'], 'inertia': ['t', [15, 9]], 'inertia_gap': [75, 2], 'is_completion': False, 'jump_set': [], 'label': '5.15.18.49', 'n': 15, 'new_label': '5.1.15.18a4.1', 'num': 49, 'old_label': '5.15.18.49', 'p': 5, 'packet': '5.1.15.18a4.17a', 'packet_size': 1, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 4], [5, 0], [15, 0]], 'residual_polynomials': ['z^10 + 3*z^5 + 3', '3*z^4 + 4'], 'rf': [1, 0], 'slopes': '[4/3, 4/3]', 'slopes_tmp': ['4/3A', '4/3B'], 'subfamily': '5.1.15.18a4', 'subfield': ['5.3.2.1'], 'subfield_mult': [1], 't': 3, 'top_slope': '01.3333333334/3', 'u': 4, 'unram': 't + 3', 'visible': '[4/3]', 'visible_tmp': ['4/3A'], 'wild_gap': [25, 2]}
Local field data - 5.1.15.18a4.1