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lf_fields • Show schema
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{'associated_inertia': [3], 'aut': 1, 'c': 18, 'canonical_filtration': ['7.1.1.0a1.1', '7.1.19.18a1.1'], 'coeffs': [7, 0, 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^18 + 5*z^17 + 3*z^16 + 3*z^15 + 5*z^14 + z^13 + 2*z^11 + 3*z^10 + 6*z^9 + 6*z^8 + 3*z^7 + 2*z^6 + z^4 + 5*z^3 + 3*z^2 + 3*z + 5'], 'e': 19, 'eisen': 'x^19 + 7', 'f': 1, 'family': '7.1.19.18a', 'gal': 3, 'galT': 3, 'galois_degree': 57, 'galois_label': '19T3', 'gms': '0.9473684210526315', 'gsm': [0], 'hidden': '[]^{3}', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [19, 1]], 'inertia_gap': [19, 1], 'is_completion': True, 'jump_set': [], 'label': '7.19.18.1', 'n': 19, 'new_label': '7.1.19.18a1.1', 'num': 1, 'old_label': '7.19.18.1', 'p': 7, 'packet': '7.1.19.18a1.3a', 'packet_size': 1, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [19, 0]], 'residual_polynomials': ['z^18 + 5*z^17 + 3*z^16 + 3*z^15 + 5*z^14 + z^13 + 2*z^11 + 3*z^10 + 6*z^9 + 6*z^8 + 3*z^7 + 2*z^6 + z^4 + 5*z^3 + 3*z^2 + 3*z + 5'], 'rf': [1, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '7.1.19.18a1', 'subfield': [], 'subfield_mult': [], 't': 19, 'top_slope': '01.0000000001', 'u': 3, 'unram': 't + 4', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}