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lf_fields • Show schema
{'associated_inertia': [6], 'aut': 2, 'c': 17, 'canonical_filtration': ['41.1.1.0a1.1', '41.1.18.17a1.1'], 'coeffs': [41, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 1, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^17 + 18*z^16 + 30*z^15 + 37*z^14 + 26*z^13 + 40*z^12 + 32*z^11 + 8*z^10 + 11*z^9 + 35*z^8 + 11*z^7 + 8*z^6 + 32*z^5 + 40*z^4 + 26*z^3 + 37*z^2 + 30*z + 18'], 'e': 18, 'eisen': 'x^18 + 41', 'f': 1, 'family': '41.1.18.17a', 'gal': 45, 'galT': 45, 'galois_degree': 108, 'galois_label': '18T45', 'gms': '0.9444444444444444', 'gsm': [0], 'hidden': '[]^{6}', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [18, 1]], 'inertia_gap': [18, 2], 'is_completion': False, 'jump_set': [], 'label': '41.18.17.1', 'n': 18, 'new_label': '41.1.18.17a1.1', 'num': 1, 'old_label': '41.18.17.1', 'p': 41, 'packet': '41.1.18.17a1.45a', 'packet_size': 2, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [18, 0]], 'residual_polynomials': ['z^17 + 18*z^16 + 30*z^15 + 37*z^14 + 26*z^13 + 40*z^12 + 32*z^11 + 8*z^10 + 11*z^9 + 35*z^8 + 11*z^7 + 8*z^6 + 32*z^5 + 40*z^4 + 26*z^3 + 37*z^2 + 30*z + 18'], 'rf': [41, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '41.1.18.17a1', 'subfield': ['41.2.1.1', '41.3.2.1', '41.6.5.1', '41.9.8.1'], 'subfield_mult': [1, 1, 1, 1], 't': 18, 'top_slope': '01.0000000001', 'u': 6, 'unram': 't + 35', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 41.1.18.17a1.1