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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 0, 3, -3, -1, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 14631, 'disc_rad': 14631, 'disc_sign': -1, 'frobs': [[2, [[5, 1]]], [3, [0]], [5, [[5, 1]]], [7, [[4, 1], [1, 1]]], [11, [[3, 1], [2, 1]]], [13, [[4, 1], [1, 1]]], [17, [[3, 1], [2, 1]]], [19, [[3, 1], [2, 1]]], [23, [[4, 1], [1, 1]]], [29, [[3, 1], [2, 1]]], [31, [[3, 1], [1, 2]]], [37, [[5, 1]]], [41, [[2, 1], [1, 3]]], [43, [[4, 1], [1, 1]]], [47, [[3, 1], [2, 1]]], [53, [[3, 1], [2, 1]]], [59, [[2, 2], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [60, 60], 'galois_label': '5T5', 'galt': 5, 'grd': 120.95867062761562, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.3.14631.1', 'local_algs': ['3.2.1.1', '3.3.0.1', 'm4877.2.1.1', 'm4877.1.3.0'], 'monogenic': 1, 'num_ram': 2, 'r2': 1, 'ramps': [3, 4877], 'rd': 6.80855267956, 'regulator': {'__RealLiteral__': 0, 'data': '1.65878969233', 'prec': 44}, 'res': {'sib': ['-175759587,-125142578,572473,13278743,-394995,-4009532,-1164730,648738,491410,28621,-84980,11206,9369,-1308,-1096,-684,192,116,-23,-5,1', '1,-3,-3,8,7,-19,-4,15,-1,-3,1', '11158,-761,972,351,5,-1,1', '112947997839,187591818726,189423888820,92314275688,36429879596,3041956934,701804178,1038191186,395592237,94845230,-6255121,734492,-14063,-353564,55150,4642,-1346,264,16,-8,1', '176551953109,-684543628554,1224555154728,-836074102392,-612459566563,1211253642821,430638876499,-2607306736291,2929101001756,-1589393884208,303785124579,147351541018,-102884783389,5331148696,20509590565,-10856474945,1918255936,382245075,-257188229,37637883,5289280,-1838973,-134828,44820,30832,-10980,684,109,26,-12,1', '19408,-3587,8535,-8589,1259,3017,-34,-694,7,100,-9,-6,1', '2377,2101,-2618,-7915,-343,5185,-36,-2563,464,851,-360,-105,83,-3,-6,1', '2734934112,4231600812,3211763661,2913657975,3596445060,3066753438,1562328154,494336340,111477984,-4835251,-47712266,-37837333,-11201341,1747939,2376599,602823,-54384,-59898,-7410,2647,839,-16,-35,-2,1', '3107842287,106105560,74364355,-1341096,488659,-94202,12702,-868,221,-2,1', '62485136041286349,15269909862557091,-24024487050582983,14959471264288638,-505511035907601,-9837045286610719,5066801900479951,-154464098286105,-1783634475207319,1281890639265146,-163304081541015,-253702438852847,202808816036229,-52809638261361,-22373823701129,24223575182065,-8435461040241,-638294502543,2068586600971,-916951336083,86589973845,115663610545,-69319309971,13870287627,3789024359,-3552119865,1012397685,21741555,-122674217,44135463,-3995521,-2675392,1213290,-174046,-31771,19494,-3192,-152,138,-20,1', '729,1458,2187,11178,13770,-18873,-34938,45360,78183,-43056,-100611,39183,74644,-22469,-38099,20085,-1903,-11136,-1252,7910,3255,-32,-4889,1008,1541,-722,-24,59,2,-6,1', '7398810784,-6087554576,8029977768,-1032572888,5005807866,886951029,4643196787,1810837490,-181472654,-662410450,71560306,205712852,100837411,41265879,19364896,5371457,-3494738,-5129609,-1703653,185177,367279,115191,-6249,-16029,-3395,308,394,54,-15,-6,1', '81,243,324,378,108,-297,-645,-1482,-827,946,629,-584,-414,199,87,-57,-11,15,-5,-1,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{4} - 3 a^{2} \\)', '\\( a^{4} - a^{3} - 3 a^{2} + 2 a + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}
Number field data - 5.3.14631.1