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lf_fields • Show schema
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{'associated_inertia': [2], 'aut': 2, 'c': 21, 'canonical_filtration': ['131.1.1.0a1.1', '131.1.22.21a1.1'], 'coeffs': [262, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'ctr': 2, 'ctr_family': 1, 'ctr_subfamily': 1, 'distinguished_residual_polynomials': ['z^21 + 22*z^20 + 100*z^19 + 99*z^18 + 110*z^17 + 3*z^16 + 74*z^15 + 113*z^14 + 130*z^13 + 13*z^12 + 30*z^11 + 128*z^10 + 30*z^9 + 13*z^8 + 130*z^7 + 113*z^6 + 74*z^5 + 3*z^4 + 110*z^3 + 99*z^2 + 100*z + 22'], 'e': 22, 'eisen': 'x^22 + 262', 'f': 1, 'family': '131.1.22.21a', 'gal': 3, 'galT': 3, 'galois_degree': 44, 'galois_label': '22T3', 'gms': '0.9545454545454546', 'gsm': [0], 'hidden': '[]^{2}', 'hw': '$-i$', 'ind_of_insep': [0], 'ind_of_insep_tmp': ['0A'], 'inertia': ['t', [22, 1]], 'inertia_gap': [22, 2], 'is_completion': False, 'jump_set': [], 'label': '131.22.21.1', 'n': 22, 'new_label': '131.1.22.21a1.2', 'num': 1, 'old_label': '131.22.21.1', 'p': 131, 'packet': '131.1.22.21a1.3a', 'packet_size': 2, 'ppow_roots_of_unity': 0, 'ram_poly_vert': [[1, 0], [22, 0]], 'residual_polynomials': ['z^21 + 22*z^20 + 100*z^19 + 99*z^18 + 110*z^17 + 3*z^16 + 74*z^15 + 113*z^14 + 130*z^13 + 13*z^12 + 30*z^11 + 128*z^10 + 30*z^9 + 13*z^8 + 130*z^7 + 113*z^6 + 74*z^5 + 3*z^4 + 110*z^3 + 99*z^2 + 100*z + 22'], 'rf': [131, 0], 'slopes': '[]', 'slopes_tmp': [], 'subfamily': '131.1.22.21a1', 'subfield': ['131.2.1.1', '131.11.10.1'], 'subfield_mult': [1, 1], 't': 22, 'top_slope': '01.0000000001', 'u': 2, 'unram': 't + 129', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}