-
nf_fields • Show schema
{'cm': False, 'coeffs': [-4, -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, 0, 0, 1], 'conductor': 0, 'degree': 47, 'dirichlet_group': [], 'disc_abs': 19202550044481603321264141761696001438579225508816537611603570269774229595871781864398373102265851755626496, 'disc_rad': 545769297687047677563445568060160480814011677603518183207244483974540957998208962874240714378, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[23, 2], [1, 1]]], [5, [[26, 1], [19, 1], [2, 1]]], [7, [[19, 1], [11, 1], [9, 1], [7, 1], [1, 1]]], [11, [[21, 1], [13, 1], [10, 1], [2, 1], [1, 1]]], [13, [[37, 1], [7, 1], [3, 1]]], [17, [[21, 1], [12, 1], [8, 1], [4, 1], [2, 1]]], [19, [[26, 1], [12, 1], [8, 1], [1, 1]]], [23, [[24, 1], [11, 2], [1, 1]]], [29, [[19, 1], [17, 1], [8, 1], [2, 1], [1, 1]]], [31, [[21, 1], [12, 1], [9, 1], [4, 1], [1, 1]]], [37, [[46, 1], [1, 1]]], [41, [[28, 1], [8, 2], [2, 1], [1, 1]]], [43, [[22, 1], [10, 1], [9, 1], [3, 2]]], [47, [[23, 2], [1, 1]]], [53, [[31, 1], [8, 1], [7, 1], [1, 1]]], [59, [[20, 1], [8, 1], [7, 1], [6, 1], [5, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_label': '47T6', 'galt': 6, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '47.1.19202550044481603321264141761696001438579225508816537611603570269774229595871781864398373102265851755626496.1', 'local_algs': ['2.1.0.1', '2.2.2.1', 'm2.2.11.22', 'm2.2.11.22', 'm503.1.2.0', 'm503.2.1.1', 'm503.1.4.0', 'm503.1.39.0', 'm12399061109599.1.1.0', 'm12399061109599.2.1.1', 'm12399061109599.1.3.0', 'm12399061109599.1.5.0', 'm12399061109599.1.11.0', 'm12399061109599.1.25.0', 'm43754459117277290538725366992416463249815152315086927561989003798621484056637.2.1.1', 'm43754459117277290538725366992416463249815152315086927561989003798621484056637.1.5.0', 'm43754459117277290538725366992416463249815152315086927561989003798621484056637.1.13.0', 'm43754459117277290538725366992416463249815152315086927561989003798621484056637.1.27.0'], 'monogenic': 1, 'num_ram': 4, 'r2': 23, 'ramps': [2, 503, 12399061109599, 43754459117277290538725366992416463249815152315086927561989003798621484056637], 'rd': 182.535803478, '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', 'a^45', 'a^46']}
Number field data - 47.1.19202550044481603321264141761696001438579225508816537611603570269774229595871781864398373102265851755626496.1