-
lf_fields • Show schema
{'associated_inertia': [2, 1], 'aut': 3, 'c': 21, 'canonical_filtration': ['3.1.1.0a1.1', '3.1.4.3a1.2'], 'coeffs': [6, 9, 9, 9, 0, 0, 0, 0, 0, 0, 6, 0, 1], 'ctr': 53, 'ctr_family': 1, 'ctr_subfamily': 2, 'distinguished_residual_polynomials': ['z^9 + z^6 + 1', 'z^2 + 2'], 'e': 12, 'eisen': 'x^12 + 6*x^10 + 9*x^3 + 9*x^2 + 9*x + 6', 'f': 1, 'family': '3.1.12.21a', 'gal': 167, 'galT': 167, 'galois_degree': 648, 'galois_label': '12T167', 'gms': '2.138888888888889', 'gsm': [1372, 41160, 111132, 146020, 111132, 10584, 4914, -1008, -378, -14, -42, 0, 1], 'hidden': '[3/2,9/4]^{6}', 'hw': '$-i$', 'ind_of_insep': [10, 0], 'ind_of_insep_tmp': ['10A', '0A'], 'inertia': ['t', [12, 72]], 'inertia_gap': [108, 37], 'is_completion': False, 'jump_set': [], 'label': '3.12.21.104', 'n': 12, 'new_label': '3.1.12.21a2.53', 'num': 104, 'old_label': '3.12.21.104', 'p': 3, 'packet': '3.1.12.21a2.167b', 'packet_size': 12, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 10], [3, 0], [12, 0]], 'residual_polynomials': ['z^9 + z^6 + 1', 'z^2 + 2'], 'rf': [3, 1], 'slopes': '[3/2, 9/4, 9/4]', 'slopes_tmp': ['3/2A', '9/4A', '9/4B'], 'subfamily': '3.1.12.21a2', 'subfield': ['3.2.1.1', '3.4.3.2'], 'subfield_mult': [1, 1], 't': 4, 'top_slope': '02.2500000009/4', 'u': 6, 'unram': 't + 1', 'visible': '[9/4]', 'visible_tmp': ['9/4A'], 'wild_gap': [27, 5]}
Local field data - 3.1.12.21a2.53