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lf_fields • Show schema
{'associated_inertia': [1], 'aut': 8, 'c': 14, 'canonical_filtration': ['79.2.1.0a1.1', '79.2.8.14a1.3'], 'coeffs': [12565, 1364767, 124204104, 6460887888, 210123761148, 4376173668048, 57030340192056, 425946237157584, 1408087912508838, 141982079052528, 6336704465784, 162080506224, 2594120508, 26588016, 170376, 624, 1], 'ctr': 5, '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 + (1264*t + 6004)', 'f': 2, 'family': '79.2.8.14a', 'gal': 49, 'galT': 49, 'galois_degree': 32, 'galois_label': '16T49', 'gms': '0.875', 'gsm': [0], 'hidden': '[]^{2}', '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': '79.16.14.3', 'n': 16, 'new_label': '79.2.8.14a1.5', 'num': 3, 'old_label': '79.16.14.3', 'p': 79, 'packet': '79.2.8.14a1.49a', 'packet_size': 1, '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': '79.2.8.14a1', 'subfield': ['79.2.0.1', '79.2.1.1', '79.2.1.2', '79.4.2.1', '79.8.6.2'], 'subfield_mult': [1, 1, 1, 1, 1], 't': 8, 'top_slope': '01.0000000001', 'u': 4, 'unram': 't^2 + 78*t + 3', 'visible': '[]', 'visible_tmp': [], 'wild_gap': [1, 1]}
Local field data - 79.2.8.14a1.5