-
nf_fields • Show schema
{'class_group': [2, 2, 72], 'class_number': 288, 'cm': False, 'coeffs': [17902, 833, -70, 105, 15, -2, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 260060583887, 'disc_rad': 6383, 'disc_sign': -1, 'frobs': [[2, [[2, 2], [1, 2]]], [3, [[3, 2]]], [5, [[2, 3]]], [7, [[2, 2], [1, 2]]], [11, [[6, 1]]], [13, [0]], [17, [[3, 2]]], [19, [[2, 2], [1, 2]]], [23, [[2, 3]]], [29, [[2, 3]]], [31, [[6, 1]]], [37, [[6, 1]]], [41, [[6, 1]]], [43, [[3, 2]]], [47, [[2, 2], [1, 2]]], [53, [[2, 3]]], [59, [[2, 2], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [6, 6], 'galois_label': '6T3', 'galt': 3, 'grd': 79.89367934949547, 'index': 4, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 2, 'label': '6.0.260060583887.2', 'local_algs': ['13.6.3.1', 'm491.2.1.1', 'm491.2.1.1', 'm491.2.1.1'], 'minimal_sibling': [-16, -100, 35, -3, -8, -1, 1], 'monogenic': -1, 'num_ram': 2, 'r2': 3, 'ramps': [13, 491], 'rd': 79.8936793495, 'regulator': {'__RealLiteral__': 0, 'data': '33.1773304393', 'prec': 44}, 'res': {'gal': ['1294576,5208,21355,-55660,34265,-8012,3185,-506,215,-70,25,-6,1'], 'sex': ['0,1', '-3,-1,1', '4,1,-1,1'], 'sib': ['-16,-100,35,-3,-8,-1,1']}, 'subfield_mults': [1, 1], 'subfields': ['1596.-1.1', '4.1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{29}{735096} a^{5} - \\frac{655}{245032} a^{4} + \\frac{485}{122516} a^{3} - \\frac{19325}{735096} a^{2} - \\frac{142291}{735096} a + \\frac{167947}{122516} \\)', '\\( \\frac{37}{6744} a^{5} + \\frac{17}{2248} a^{4} + \\frac{151}{3372} a^{3} + \\frac{825}{2248} a^{2} - \\frac{3281}{2248} a - \\frac{52343}{3372} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/3*a^3 - 1/3*a^2 + 1/3*a + 1/3', '1/6*a^4 - 1/6*a - 1/3', '1/735096*a^5 + 16831/735096*a^4 + 29623/367548*a^3 - 79083/245032*a^2 + 164081/735096*a - 44905/122516']}
Number field data - 6.0.260060583887.2