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lf_fields • Show schema
{'associated_inertia': [2, 2], 'aut': 1, 'c': 16, 'canonical_filtration': ['5.1.1.0a1.1', '5.1.3.2a1.1'], 'coeffs': [5, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^10 + 3*z^5 + 3', '3*z^2 + 1'], 'e': 15, 'eisen': 'x^15 + 15*x^2 + 5', 'f': 1, 'family': '5.1.15.16a', 'gal': 17, 'galT': 17, 'galois_degree': 300, 'galois_label': '15T17', 'gms': '1.1533333333333333', 'gsm': [-523, -840, 10315, 18480, 10310, -7133, -6865, 970, 2050, 55, -336, -20, 30, 5, -5, 1], 'hidden': '[7/6]^{2}_{2}', 'hw': '$1$', 'ind_of_insep': [2, 0], 'ind_of_insep_tmp': ['2A', '0A'], 'inertia': ['t', [15, 12]], 'inertia_gap': [150, 6], 'is_completion': True, 'jump_set': [], 'label': '5.15.16.3', 'n': 15, 'new_label': '5.1.15.16a1.2', 'num': 3, 'old_label': '5.15.16.3', 'p': 5, 'packet': '5.1.15.16a1.17a', 'packet_size': 2, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 2], [5, 0], [15, 0]], 'residual_polynomials': ['z^10 + 3*z^5 + 3', '3*z^2 + 4'], 'rf': [1, 0], 'slopes': '[7/6, 7/6]', 'slopes_tmp': ['7/6A', '7/6B'], 'subfamily': '5.1.15.16a1', 'subfield': ['5.3.2.1'], 'subfield_mult': [1], 't': 6, 'top_slope': '01.1666666667/6', 'u': 2, 'unram': 't + 3', 'visible': '[7/6]', 'visible_tmp': ['7/6A'], 'wild_gap': [25, 2]}
Local field data - 5.1.15.16a1.2