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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-2573, -230, 665, 32, -47, -1, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 5663674861, 'disc_rad': 2577913, 'disc_sign': 1, 'frobs': [[2, [[6, 1]]], [3, [[3, 2]]], [5, [[2, 2], [1, 2]]], [7, [[6, 1]]], [11, [[3, 2]]], [13, [0]], [17, [[3, 2]]], [19, [[3, 2]]], [23, [[3, 2]]], [29, [[3, 2]]], [31, [[1, 6]]], [37, [[6, 1]]], [41, [[3, 2]]], [43, [[6, 1]]], [47, [[2, 2], [1, 2]]], [53, [[2, 2], [1, 2]]], [59, [[6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 12], 'galois_label': '6T6', 'galt': 6, 'grd': 2462.0187364896883, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.6.5663674861.1', 'local_algs': ['13.3.2.2', '13.3.2.2', 'm198301.1.2.0', 'm198301.1.2.0', 'm198301.2.1.1'], 'monogenic': 0, 'num_ram': 2, 'r2': 0, 'ramps': [13, 198301], 'rd': 42.2198207954, 'regulator': {'__RealLiteral__': 0, 'data': '894.601243646', 'prec': 44}, 'res': {'gal': ['1228670497862527,-1535170321424705,-8640917339061527,-1208225506320709,5795297135613208,1077116626321050,-1636602230530846,-285145802753432,249910616170729,37173219242178,-22835707566937,-2728941194012,1308259345560,118950077944,-47728552340,-3130554044,1101523829,49351099,-15665532,-448234,130228,2128,-570,-4,1'], 'sex': ['-49575,-1,1', '1209752,-22615,-4345,-1,1'], 'sib': ['28001,-284086,1023436,-1466450,449319,493527,-210071,-29911,10410,613,-178,-4,1', '318267,89131,-82244,-13594,6348,536,-174,-4,1', '333250915231457865,-246653169877197,-2612874576590208,-253754704640,8187441316721,4275223840,-13226771417,-8825003,11675066,7049,-5356,-2,1']}, 'subfield_mults': [1], 'subfields': ['-1.-4.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{5}{2097} a^{5} - \\frac{67}{2097} a^{4} - \\frac{27}{233} a^{3} + \\frac{1915}{2097} a^{2} + \\frac{294}{233} a - \\frac{12571}{2097} \\)', '\\( \\frac{5}{2097} a^{5} - \\frac{67}{2097} a^{4} - \\frac{27}{233} a^{3} + \\frac{1915}{2097} a^{2} + \\frac{294}{233} a - \\frac{10474}{2097} \\)', '\\( \\frac{143}{2097} a^{5} + \\frac{41}{2097} a^{4} - \\frac{679}{233} a^{3} - \\frac{3947}{2097} a^{2} + \\frac{21637}{699} a + \\frac{66440}{2097} \\)', '\\( \\frac{122}{2097} a^{5} + \\frac{602}{2097} a^{4} - \\frac{286}{233} a^{3} - \\frac{14087}{2097} a^{2} + \\frac{644}{699} a + \\frac{38993}{2097} \\)', '\\( \\frac{1505}{2097} a^{5} + \\frac{4997}{2097} a^{4} - \\frac{5331}{233} a^{3} - \\frac{159632}{2097} a^{2} + \\frac{30710}{233} a + \\frac{854693}{2097} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/3*a^4 - 1/3*a + 1/3', '1/2097*a^5 - 293/2097*a^4 - 52/233*a^3 + 383/2097*a^2 - 10/699*a + 142/2097']}
Number field data - 6.6.5663674861.1