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lf_fields • Show schema
{'associated_inertia': [1], 'aut': 16, 'c': 14, 'canonical_filtration': ['181.2.1.0a1.1', '181.2.8.14a1.4'], 'coeffs': [32655, 181972, 56142592, 9937691904, 1099455416416, 77854362481728, 3446154995232880, 87199661878552752, 966800106403510369, 43599830939276376, 861538748808220, 9731795310216, 68715963526, 310552872, 877228, 1416, 1], 'ctr': 6, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^7 + 8*z^6 + 28*z^5 + 56*z^4 + 70*z^3 + 56*z^2 + 28*z + 8'], 'e': 8, 'eisen': 'x^8 + (724*t + 32399)', 'f': 2, 'family': '181.2.8.14a', 'gal': 6, 'galT': 6, 'galois_degree': 16, 'galois_label': '16T6', 'gms': '0.875', 'gsm': [0], 'hidden': '[]', 'hw': '$-1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['i', [8, 1]], 'inertia_gap': [8, 1], 'is_completion': False, 'jump_set': [], 'label': '181.16.14.4', 'n': 16, 'new_label': '181.2.8.14a1.6', 'num': 4, 'old_label': '181.16.14.4', 'p': 181, 'packet': '181.2.8.14a1.6a', 'packet_size': 4, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [8, 0]], 'residual_polynomials': ['z^7 + 8*z^6 + 28*z^5 + 56*z^4 + 70*z^3 + 56*z^2 + 28*z + 8'], 'rf': [1, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '181.2.8.14a1', 'subfield': ['181.2.0.1', '181.2.1.1', '181.2.1.2', '181.4.2.1', '181.4.3.3', '181.4.3.4', '181.8.6.2', '181.8.7.4'], 'subfield_mult': [1, 1, 1, 1, 1, 1, 1, 2], 't': 8, 'top_slope': '01.0000000001', 'u': 2, 'unram': 't^2 + 177*t + 2', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 181.2.8.14a1.6