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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-3, -6, 0, 0, 0, -2, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 16200000, 'disc_rad': 30, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[6, 1]]], [11, [[3, 2]]], [13, [[6, 1]]], [17, [[6, 1]]], [19, [[5, 1], [1, 1]]], [23, [[2, 3]]], [29, [[3, 2]]], [31, [[3, 2]]], [37, [[4, 1], [1, 2]]], [41, [[5, 1], [1, 1]]], [43, [[4, 1], [1, 2]]], [47, [[4, 1], [1, 2]]], [53, [[2, 3]]], [59, [[5, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [180, 96, 138], 'galois_label': '6T14', 'galt': 14, 'grd': 43.356828069359494, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '6.2.16200000.1', 'local_algs': ['2.2.2.2', '2.4.4.3', '3.1.0.1', '3.5.4.1', '5.1.0.1', '5.5.5.1'], 'minimal_sibling': [-60, -30, 0, 0, 0, 1], 'monogenic': 0, 'num_ram': 3, 'r2': 2, 'ramps': [2, 3, 5], 'rd': 15.9069104351, 'regulator': {'__RealLiteral__': 0, 'data': '77.61245252', 'prec': 37}, 'res': {'sex': ['-60,-30,0,0,0,1', '0,1'], 'sib': ['-60,-30,0,0,0,1', '-1,-10,-40,-75,-10,88,150,-10,-120,-70,40,40,-5,-10,0,1', '-1,-5,-5,10,45,79,-45,10,5,-5,1', '-71,-150,50,180,-35,-54,25,0,-10,0,1', '1,-2,1,10,-30,-18,81,-18,-30,10,1,-2,1', '1,0,-60,0,110,0,2010,0,3865,0,1152,0,385,0,-30,0,-10,0,0,0,1', '2921,-15570,39560,-61440,61030,-31008,-6610,23550,-14115,-2970,8354,-2940,-1695,1260,50,-162,50,0,-10,0,1', '5120,0,51200,0,27520,0,47360,0,12660,0,-5560,0,1080,0,500,0,-55,0,-10,0,1', '-1,-5,-10,-15,-25,-36,-45,-105,-85,-90,-247,-25,-280,-45,-105,-78,105,-45,280,-25,247,-90,85,-105,45,-36,25,-15,10,-5,1', '-2896,5280,-8080,-25760,20200,108584,-407700,644840,-344645,-122640,14604,170820,23045,6860,-236325,190388,-67470,77440,-68065,16640,-3179,7160,-2660,-500,-265,244,45,-20,-10,0,1', '-972,9720,-51840,184680,-504090,1118520,-2062440,3155490,-3935415,3928530,-3015694,1582120,-325560,-332170,455815,-325262,174555,-75250,23370,-3940,2094,-5790,7505,-5970,3415,-1522,560,-180,50,-10,1', '119045,177600,338750,-70900,-948705,-1449580,1717670,3074420,-2454425,-2375320,2707700,-700520,-2654770,5648520,-1270060,-4401040,1688365,1255400,1848450,-2087300,-1656239,-420620,7593090,-10177540,6508345,-2549464,1416100,-1638320,1530690,-992640,498316,-235960,127415,-73440,37470,-15324,4835,-1140,190,-20,1', '16,-64,-64,1056,-1264,-6736,32624,-68096,93464,-89816,64776,-35104,16576,-7844,4836,-3016,1949,-966,394,-126,71,-34,16,-4,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{2} a^{5} - a^{4} + \\frac{1}{2} a^{3} - \\frac{1}{2} a^{2} - \\frac{5}{2} \\)', '\\( \\frac{1}{2} a^{5} - a^{4} + \\frac{1}{2} a^{3} + \\frac{1}{2} a^{2} - a - \\frac{1}{2} \\)', '\\( 3 a^{5} - 7 a^{4} + 2 a^{3} - a^{2} + 2 a - 22 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/2*a^4 - 1/2*a^3 - 1/2*a - 1/2', '1/2*a^5 - 1/2*a^3 - 1/2*a^2 - 1/2']}
Number field data - 6.2.16200000.1