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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, -3, -1, 0, -1, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 21191, 'disc_rad': 21191, 'disc_sign': -1, 'frobs': [[2, [[5, 1]]], [3, [[5, 1]]], [5, [[3, 1], [1, 2]]], [7, [[3, 1], [2, 1]]], [11, [[4, 1], [1, 1]]], [13, [[3, 1], [1, 2]]], [17, [[5, 1]]], [19, [[3, 1], [2, 1]]], [23, [[4, 1], [1, 1]]], [29, [[3, 1], [2, 1]]], [31, [[4, 1], [1, 1]]], [37, [[5, 1]]], [41, [[3, 1], [2, 1]]], [43, [[3, 1], [2, 1]]], [47, [[3, 1], [1, 2]]], [53, [[5, 1]]], [59, [[5, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [60], 'galois_label': '5T5', 'galt': 5, 'grd': 145.5712883778941, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.3.21191.1', 'local_algs': ['m21191.1.1.0', 'm21191.1.1.0', 'm21191.1.1.0', 'm21191.2.1.1'], 'monogenic': 1, 'num_ram': 1, 'r2': 1, 'ramps': [21191], 'rd': 7.33213225923, 'regulator': {'__RealLiteral__': 0, 'data': '1.93450979256', 'prec': 44}, 'res': {'sib': ['-105415765,234165941,-276846697,269134952,-201170420,113461162,-54297282,22029456,-7318207,1925794,-353876,2877,44532,-23848,10582,-3692,1149,-265,57,-8,1', '-2197,25012,-71162,36381,-92103,284644,256162,-459952,688690,-990115,936030,-363085,338771,-39900,-81691,-64039,-30990,-41068,9601,-6978,865,-1525,-14,-804,357,-165,89,-5,11,0,1', '-341,-5527,-13604,-19448,-20231,-13205,-6766,-1178,467,621,171,36,-29,-3,-3,1', '1,1,-1,10,-19,9,-10,-3,4,0,1', '1,1,-51,350,-1498,4234,-7686,8458,-4703,-400,3118,-3135,2020,-922,322,-100,31,-21,9,-4,1', '110598,33325,-23024,-19113,6027,3705,-380,-678,108,30,5,-6,1', '5079032976,7760111864,506108653,-3773634997,-1814180706,13079100,1495420239,-530907681,189368276,-128055639,22825640,-3448833,8113184,-4149729,941099,-248828,152540,-44210,11209,-2875,1086,-168,29,-2,1', '5088,-5729,1490,455,-15,-1,1', '7100374994291,10334076560590,-1967130862655,-6474128088454,70012772794,3250578292008,4087524745016,1439045210287,1264870701143,795323739833,399770611617,117044442835,57517637815,34059703476,4665156972,2137208230,1117454269,127903377,46548947,12559359,3751364,496015,140597,78641,-1165,5396,292,-17,61,-6,1', '7464679077505955,20661862765226067,56015154307000441,96265277336346830,121487662415994605,119910269111823425,97457985183444477,67053492606186015,40265901901502663,21016665284647002,9582911191111457,3828267804858385,1312476151240967,383290351917729,102404362873787,26234010002773,7464728971865,2672974568945,1034720889317,408440434911,146134182419,62661997785,24477132639,7557382599,2764577949,960536685,190827937,105077151,15749763,5755305,2253205,-91790,294208,-53180,28637,-6000,1956,-342,74,-8,1', '7804387470421,772029845127,2386388029921,321000476969,144351726713,34038460909,2679838447,-546726736,-42920007,-179257021,-10432600,-2150550,470201,260459,40195,-4617,699,-482,38,-4,1', '9432561781,-510172035,570294289,-20522942,12541455,-295877,128012,-1807,602,-4,1', '97548917216,389542008032,939568133992,1516428473544,1931895287568,1959899714417,1640552510353,1137716325752,645876204726,292187199064,95883180602,14465022628,-6316057841,-6161550303,-2570532614,-576441621,24208510,72114837,29653779,5029927,-438655,-608907,-154499,-13895,7025,1980,422,-94,-3,-6,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{4} - 2 a^{3} + a^{2} - 2 a - 2 \\)', '\\( a^{4} - a^{3} - a - 2 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4']}
Number field data - 5.3.21191.1