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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 3, 1, 0, 5, -2, -1, 7, -10, 3, 5, -10, 8, -4, 1], 'conductor': 0, 'degree': 14, 'dirichlet_group': [], 'disc_abs': 552331698375977, 'disc_rad': 194129, 'disc_sign': 1, 'frobs': [[2, [[7, 2]]], [3, [[14, 1]]], [5, [[14, 1]]], [7, [[3, 4], [1, 2]]], [11, [[6, 1], [3, 2], [2, 1]]], [13, [0]], [17, [[6, 1], [3, 2], [2, 1]]], [19, [[8, 1], [2, 3]]], [23, [[14, 1]]], [29, [[3, 4], [2, 1]]], [31, [[4, 2], [2, 3]]], [37, [[6, 1], [3, 2], [2, 1]]], [41, [[4, 2], [2, 3]]], [43, [[14, 1]]], [47, [[14, 1]]], [53, [[4, 3], [1, 2]]], [59, [[8, 1], [4, 1], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [10752, 10752, 10752], 'galois_label': '14T51', 'galt': 51, 'grd': 440.6007262817437, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '14.2.552331698375977.1', 'local_algs': ['13.1.0.1', '13.1.0.1', '13.4.0.1', '13.8.4.1', '109.2.1.2', '109.2.0.1', '109.2.1.2', '109.4.0.1', '109.4.2.1', '137.2.1.2', '137.2.0.1', '137.2.0.1', '137.8.0.1'], 'monogenic': 0, 'num_ram': 3, 'r2': 6, 'ramps': [13, 109, 137], 'rd': 11.2983307295, 'regulator': {'__RealLiteral__': 0, 'data': '43.5555878552', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['1.-1.-1.4.1.-3.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{18}{19} a^{13} - \\frac{100}{19} a^{12} + \\frac{289}{19} a^{11} - \\frac{562}{19} a^{10} + \\frac{751}{19} a^{9} - \\frac{692}{19} a^{8} + \\frac{337}{19} a^{7} + \\frac{81}{19} a^{6} - \\frac{315}{19} a^{5} + \\frac{321}{19} a^{4} - \\frac{137}{19} a^{3} + \\frac{21}{19} a^{2} + \\frac{74}{19} a - \\frac{40}{19} \\)', '\\( a \\)', '\\( \\frac{36}{19} a^{13} - \\frac{143}{19} a^{12} + \\frac{274}{19} a^{11} - \\frac{307}{19} a^{10} + \\frac{58}{19} a^{9} + \\frac{307}{19} a^{8} - \\frac{580}{19} a^{7} + \\frac{428}{19} a^{6} - \\frac{98}{19} a^{5} - \\frac{99}{19} a^{4} + \\frac{258}{19} a^{3} - \\frac{72}{19} a^{2} + \\frac{53}{19} a + \\frac{91}{19} \\)', '\\( \\frac{119}{19} a^{13} - \\frac{545}{19} a^{12} + \\frac{1272}{19} a^{11} - \\frac{1940}{19} a^{10} + \\frac{1736}{19} a^{9} - \\frac{663}{19} a^{8} - \\frac{811}{19} a^{7} + \\frac{1324}{19} a^{6} - \\frac{914}{19} a^{5} + \\frac{314}{19} a^{4} + \\frac{400}{19} a^{3} - \\frac{219}{19} a^{2} + \\frac{276}{19} a + \\frac{200}{19} \\)', '\\( \\frac{69}{19} a^{13} - \\frac{320}{19} a^{12} + \\frac{750}{19} a^{11} - \\frac{1141}{19} a^{10} + \\frac{1020}{19} a^{9} - \\frac{379}{19} a^{8} - \\frac{491}{19} a^{7} + \\frac{795}{19} a^{6} - \\frac{552}{19} a^{5} + \\frac{195}{19} a^{4} + \\frac{219}{19} a^{3} - \\frac{157}{19} a^{2} + \\frac{157}{19} a + \\frac{100}{19} \\)', '\\( \\frac{41}{19} a^{13} - \\frac{175}{19} a^{12} + \\frac{368}{19} a^{11} - \\frac{480}{19} a^{10} + \\frac{274}{19} a^{9} + \\frac{138}{19} a^{8} - \\frac{536}{19} a^{7} + \\frac{498}{19} a^{6} - \\frac{195}{19} a^{5} - \\frac{51}{19} a^{4} + \\frac{278}{19} a^{3} - \\frac{139}{19} a^{2} + \\frac{82}{19} a + \\frac{120}{19} \\)', '\\( \\frac{64}{19} a^{13} - \\frac{288}{19} a^{12} + \\frac{656}{19} a^{11} - \\frac{968}{19} a^{10} + \\frac{804}{19} a^{9} - \\frac{210}{19} a^{8} - \\frac{535}{19} a^{7} + \\frac{706}{19} a^{6} - \\frac{398}{19} a^{5} + \\frac{52}{19} a^{4} + \\frac{313}{19} a^{3} - \\frac{147}{19} a^{2} + \\frac{128}{19} a + \\frac{128}{19} \\)'], 'used_grh': False, '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', '1/19*a^13 + 5/19*a^12 - 4/19*a^11 - 8/19*a^10 + 9/19*a^9 + 8/19*a^8 + 5/19*a^7 - 5/19*a^6 - 8/19*a^5 + 2/19*a^4 + 4/19*a^3 - 2/19*a^2 + 2/19*a + 2/19']}
Number field data - 14.2.552331698375977.1