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lf_fields • Show schema
{'associated_inertia': [2, 1], 'aut': 1, 'c': 15, 'canonical_filtration': ['5.1.1.0a1.1', '5.1.3.2a1.1'], 'coeffs': [5, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 3, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^10 + 3*z^5 + 3', '3*z + 1'], 'e': 15, 'eisen': 'x^15 + 15*x + 5', 'f': 1, 'family': '5.1.15.15a', 'gal': 27, 'galT': 27, 'galois_degree': 600, 'galois_label': '15T27', 'gms': '1.0766666666666667', 'gsm': [48157299081, 790212143220, 1126034023020, -628374042290, -440565472815, 19586232533, 41490873310, 5617820830, -308853455, -84431845, 101903, 470165, 3110, -1140, -5, 1], 'hidden': '[13/12]^{2}_{4}', 'hw': '$1$', 'ind_of_insep': [1, 0], 'ind_of_insep_tmp': ['1A', '0A'], 'inertia': ['t', [15, 19]], 'inertia_gap': [300, 24], 'is_completion': False, 'jump_set': [], 'label': '5.15.15.45', 'n': 15, 'new_label': '5.1.15.15a1.3', 'num': 45, 'old_label': '5.15.15.45', 'p': 5, 'packet': '5.1.15.15a1.27a', 'packet_size': 4, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 1], [5, 0], [15, 0]], 'residual_polynomials': ['z^10 + 3*z^5 + 3', '3*z + 2'], 'rf': [5, 1], 'slopes': '[13/12, 13/12]', 'slopes_tmp': ['13/12A', '13/12B'], 'subfamily': '5.1.15.15a1', 'subfield': ['5.3.2.1'], 'subfield_mult': [1], 't': 12, 'top_slope': '01.08333333313/12', 'u': 2, 'unram': 't + 3', 'visible': '[13/12]', 'visible_tmp': ['13/12A'], 'wild_gap': [25, 2]}
Local field data - 5.1.15.15a1.3