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lf_fields • Show schema
{'associated_inertia': [6, 1], 'aut': 1, 'c': 37, 'canonical_filtration': None, 'coeffs': [3, 9, 18, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 1], 'ctr': 45, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^18 + z^15 + 2*z^9 + 2*z^6 + 1', 'z + 1'], 'e': 21, 'eisen': 'x^21 + 3*x^20 + 3*x^17 + 18*x^4 + 18*x^2 + 9*x + 3', 'f': 1, 'family': '3.1.21.37a', 'gal': 107, 'galT': 107, 'galois_degree': 183708, 'galois_label': '21T107', 'gms': None, 'gsm': [0], 'hidden': None, 'hw': '$-i$', 'ind_of_insep': [17, 0], 'ind_of_insep_tmp': ['17A', '0A'], 'inertia': None, 'inertia_gap': None, 'is_completion': False, 'jump_set': [], 'label': '3.21.37.410', 'n': 21, 'new_label': '3.1.21.37a1.45', 'num': 410, 'old_label': '3.21.37.410', 'p': 3, 'packet': None, 'packet_size': None, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 17], [3, 0], [21, 0]], 'residual_polynomials': ['z^18 + z^15 + 2*z^9 + 2*z^6 + 1', 'z + 1'], 'rf': [3, 1], 'slopes': None, 'slopes_tmp': None, 'subfamily': '3.1.21.37a1', 'subfield': ['3.7.6.1'], 'subfield_mult': [1], 't': None, 'top_slope': '02.21428571431/14', 'u': None, 'unram': 't + 1', 'visible': '[31/14]', 'visible_tmp': ['31/14A'], 'wild_gap': None}
Local field data - 3.1.21.37a1.45