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lf_fields • Show schema
{'associated_inertia': [2], 'aut': 4, 'c': 19, 'canonical_filtration': ['89.1.1.0a1.1', '89.1.20.19a1.2'], 'coeffs': [801, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 3, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^19 + 20*z^18 + 12*z^17 + 72*z^16 + 39*z^15 + 18*z^14 + 45*z^13 + z^12 + 35*z^11 + 17*z^10 + 81*z^9 + 17*z^8 + 35*z^7 + z^6 + 45*z^5 + 18*z^4 + 39*z^3 + 72*z^2 + 12*z + 20'], 'e': 20, 'eisen': 'x^20 + 801', 'f': 1, 'family': '89.1.20.19a', 'gal': 6, 'galois_degree': 40, 'galois_label': '20T6', 'gms': '0.95', 'gsm': [0], 'hidden': '[]^{2}', 'hw': '$1$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [20, 1]], 'inertia_gap': [20, 2], 'is_completion': True, 'jump_set': [], 'label': '89.20.19.2', 'n': 20, 'new_label': '89.1.20.19a1.3', 'num': 2, 'old_label': '89.20.19.2', 'p': 89, 'packet': '89.1.20.19a1.6a', 'packet_size': 4, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [20, 0]], 'residual_polynomials': ['z^19 + 20*z^18 + 12*z^17 + 72*z^16 + 39*z^15 + 18*z^14 + 45*z^13 + z^12 + 35*z^11 + 17*z^10 + 81*z^9 + 17*z^8 + 35*z^7 + z^6 + 45*z^5 + 18*z^4 + 39*z^3 + 72*z^2 + 12*z + 20'], 'rf': [89, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '89.1.20.19a1', 'subfield': ['89.2.1.1', '89.4.3.2', '89.5.4.1', '89.10.9.1'], 'subfield_mult': [1, 1, 1, 1], 't': 20, 'top_slope': '01.0000000001', 'u': 2, 'unram': 't + 86', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 89.1.20.19a1.3