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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -4, -2, 1, 0, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 22935, 'disc_rad': 22935, 'disc_sign': -1, 'frobs': [[2, [[5, 1]]], [3, [0]], [5, [0]], [7, [[5, 1]]], [11, [0]], [13, [[2, 2], [1, 1]]], [17, [[5, 1]]], [19, [[5, 1]]], [23, [[3, 1], [2, 1]]], [29, [[5, 1]]], [31, [[5, 1]]], [37, [[2, 1], [1, 3]]], [41, [[5, 1]]], [43, [[4, 1], [1, 1]]], [47, [[3, 1], [1, 2]]], [53, [[4, 1], [1, 1]]], [59, [[5, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [60, 60, 60, 60], 'galois_label': '5T5', 'galt': 5, 'grd': 151.44305860619693, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.3.22935.1', 'local_algs': ['3.2.1.2', '3.3.0.1', '5.2.1.2', '5.3.0.1', '11.2.1.1', '11.3.0.1', '139.2.1.1', '139.3.0.1'], 'monogenic': 0, 'num_ram': 4, 'r2': 1, 'ramps': [3, 5, 11, 139], 'rd': 7.44903043826, 'regulator': {'__RealLiteral__': 0, 'data': '2.31044863242', 'prec': 44}, 'res': {'sib': ['-2279,-11587,-24088,-22147,-1794,13340,9576,645,-1957,-617,259,205,-20,-21,-3,1', '-33,-64,-20,-34,-23,17,-15,6,0,-2,1', '120419387653669,80404073533598,40043395756111,-45299760474900,-26779537212564,-13261818508332,11239099024187,5770994806733,3646641533489,-375482747835,107210078374,-112582796668,93014189670,1136926803,7058975552,-4272644337,17245275,-69226596,70523692,5216873,-1725782,-349510,657037,-29038,32905,-1242,2096,-45,48,0,1', '12429586585,974510480,527835586,14591714,6344175,80460,40767,-32,267,-2,1', '13619135313745875,12702347644388625,-781747008690875,-17689278307779050,-3845402779726435,8625633658593545,5543708527676069,-2627574044316663,-3928794429564459,1617417765223452,585431009993141,-14536641827353,-112442800481701,-242823760943675,223818722758381,-45439104915689,-24300835908365,20287255724291,-8314618237855,2576228275343,-805543217523,359550895551,-158037131805,31389167213,23095999571,-29786533171,19639523119,-9668480219,3911533333,-1352705423,408382697,-108880624,25760294,-5418750,1009221,-165126,23468,-2812,278,-20,1', '15895619160249,9842334964326,5347261750741,-804020854703,119699972561,81204104429,-10354738120,-3303291934,1808669725,-330226540,103204995,-24549043,5920404,-340257,-48502,35624,-3006,351,62,-4,1', '25,45,199,-65,-1032,-2268,2460,4892,-3954,188,-266,-789,484,305,221,-185,-44,61,-7,-4,1', '270092339,-109115966,-209313857,290625881,-216999345,158750496,-92028548,36752134,-12622861,4143887,-854594,5500,59125,-38155,17564,-4928,1171,-284,45,-5,1', '29986576,0,111458504,0,402074681,0,430407469,0,236847071,0,80792088,0,18650283,0,3065937,0,370052,0,32725,0,1976,0,68,0,1', '328211283764401,52155429039351,-136181668322825,44619199914803,36730405896525,-20891047478493,-1522386413777,4281200851984,-963081832790,-236843272664,197892542254,-65436047939,-5687972717,14451422280,-3818941782,-1131230305,661035548,-17398138,-37564073,10501908,-2630224,-699480,716865,7513,-67095,786,3379,-22,-90,0,1', '34,-273,706,-551,133,-1,1', '5776,-20491,56017,-65775,20267,13571,-1984,-2014,307,120,-13,-6,1', '58277,-668813,3263004,-9054672,14118834,-9944189,-3471596,14562029,-19887300,21620105,-18247952,13631408,-9789266,6427075,-3820418,2173256,-1210710,593005,-265166,127031,-55633,19446,-6951,3051,-766,-22,-33,37,3,-6,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{1}{5} a^{4} + \\frac{2}{5} a^{3} + \\frac{3}{5} a - \\frac{8}{5} \\)', '\\( a \\)', '\\( \\frac{3}{5} a^{4} + \\frac{1}{5} a^{3} + a^{2} - \\frac{1}{5} a - \\frac{9}{5} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/5*a^4 + 2/5*a^3 - 2/5*a + 2/5']}
Number field data - 5.3.22935.1