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nf_fields • Show schema
{'cm': False, 'coeffs': [-1, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 45, 'dirichlet_group': [], 'disc_abs': 6058627165206947772659446834243918770516708613809690476129633884301485702351604141067529951203, 'disc_rad': 6152321470681830160683716975580713454842378400657188039516872938363023763, 'disc_sign': -1, 'frobs': [[2, [[22, 1], [15, 1], [5, 1], [3, 1]]], [3, [0]], [5, [[28, 1], [5, 2], [3, 2], [1, 1]]], [7, [[27, 1], [18, 1]]], [11, [[16, 1], [14, 1], [7, 1], [6, 1], [2, 1]]], [13, [[27, 1], [17, 1], [1, 1]]], [17, [[45, 1]]], [19, [[38, 1], [6, 1], [1, 1]]], [23, [[17, 2], [10, 1], [1, 1]]], [29, [[42, 1], [2, 1], [1, 1]]], [31, [[45, 1]]], [37, [[34, 1], [11, 1]]], [41, [[21, 1], [18, 1], [3, 1], [2, 1], [1, 1]]], [43, [[13, 1], [10, 1], [6, 1], [5, 1], [4, 2], [3, 1]]], [47, [[39, 1], [4, 1], [2, 1]]], [53, [[35, 1], [6, 1], [4, 1]]], [59, [[29, 1], [11, 1], [3, 1], [2, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_label': '45T10923', 'galt': 10923, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '45.3.6058627165206947772659446834243918770516708613809690476129633884301485702351604141067529951203.1', 'local_algs': ['3.9.9.11', 'm3.9.4.36', 'm66012539.1.1.0', 'm66012539.1.1.0', 'm66012539.2.1.1', 'm66012539.1.3.0', 'm66012539.1.18.0', 'm66012539.1.20.0', 'm28278051239.1.1.0', 'm28278051239.2.1.1', 'm28278051239.1.6.0', 'm28278051239.1.6.0', 'm28278051239.1.7.0', 'm28278051239.1.23.0', 'm68372307116461.1.2.0', 'm68372307116461.2.1.1', 'm68372307116461.1.3.0', 'm68372307116461.1.4.0', 'm68372307116461.1.16.0', 'm68372307116461.1.18.0', 'm16067992358028006974094700413220621293241.1.1.0', 'm16067992358028006974094700413220621293241.1.1.0', 'm16067992358028006974094700413220621293241.1.1.0', 'm16067992358028006974094700413220621293241.1.2.0', 'm16067992358028006974094700413220621293241.2.1.1', 'm16067992358028006974094700413220621293241.1.5.0', 'm16067992358028006974094700413220621293241.1.33.0'], 'monogenic': 1, 'num_ram': 5, 'r2': 21, 'ramps': [3, 66012539, 28278051239, 68372307116461, 16067992358028006974094700413220621293241], 'rd': 121.353626895, 'res': {'ae': []}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'used_grh': True, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11', 'a^12', 'a^13', 'a^14', 'a^15', 'a^16', 'a^17', 'a^18', 'a^19', 'a^20', 'a^21', 'a^22', 'a^23', 'a^24', 'a^25', 'a^26', 'a^27', 'a^28', 'a^29', 'a^30', 'a^31', 'a^32', 'a^33', 'a^34', 'a^35', 'a^36', 'a^37', 'a^38', 'a^39', 'a^40', 'a^41', 'a^42', 'a^43', 'a^44']}
Number field data - 45.3.6058627165206947772659446834243918770516708613809690476129633884301485702351604141067529951203.1