-
nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 1, 2, 1, -1, -2, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 104875, 'disc_rad': 4195, 'disc_sign': -1, 'frobs': [[2, [[6, 1]]], [3, [[6, 1]]], [5, [0]], [7, [[6, 1]]], [11, [[3, 1], [2, 1], [1, 1]]], [13, [[4, 1], [2, 1]]], [17, [[4, 1], [2, 1]]], [19, [[2, 2], [1, 2]]], [23, [[6, 1]]], [29, [[3, 1], [2, 1], [1, 1]]], [31, [[2, 1], [1, 4]]], [37, [[6, 1]]], [41, [[3, 1], [2, 1], [1, 1]]], [43, [[6, 1]]], [47, [[6, 1]]], [53, [[2, 3]]], [59, [[2, 2], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [36, 36], 'galois_label': '6T13', 'galt': 13, 'grd': 64.7688196588451, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '6.4.104875.1', 'local_algs': ['5.6.3.1', 'm839.1.1.0', 'm839.2.1.1', 'm839.1.3.0'], 'monogenic': 1, 'num_ram': 2, 'r2': 1, 'ramps': [5, 839], 'rd': 6.86718365572, 'regulator': {'__RealLiteral__': 0, 'data': '1.37486382678', 'prec': 44}, 'res': {'sex': ['240,-44,27,-19,9,-2,1'], 'sib': ['-1,-1,4,-2,1,5,4,3,-1,1', '-1,-2,-2,2,3,-29,53,10,-12,7,12,10,-53,-29,-3,2,2,-2,1', '-268031,85566,66153,-615,-839,397,-1059,245,-3,8,9,-1,1', '1,6,-4,-14,16,-23,18,8,-18,10,1,-3,1', '159337781,-55694259,34216398,-6138969,1840508,-70588,-7721,6941,-1649,67,33,-2,1', '19137625,-1860000,7182400,-9652775,2711540,-2522800,1701566,-885400,404112,-75675,24608,-4720,2910,-700,144,-15,8,0,1', '240,-44,27,-19,9,-2,1', '28867,7452,8661,-15950,25117,-4269,12225,-3430,5757,-1900,1967,-424,338,-55,93,-37,20,-4,1', '320,0,-336,0,424,0,-277,0,96,0,-16,0,1', '5256,1800,10588,-2731,4838,-2368,630,-212,140,-23,7,-6,1', '63504,-29484,10771,4919,-3399,-526,308,116,18,-29,10,-4,1', '1,-11,121,-886,4991,-20909,69802,-189252,434153,-799380,1306911,-1731595,2111681,-2118024,2065880,-1676523,1400202,-937557,786370,-369572,434555,-153139,207541,-90034,73446,-34477,20204,-8410,4170,-1774,786,-323,198,-105,40,-9,1', '1,-7,52,-23,138,1092,-1839,9540,-11811,29126,-31618,51753,-41334,38982,-654,-25273,70535,-78603,106066,-90792,78117,-49535,28958,-15633,5949,-4173,1722,-1185,763,-724,431,-36,-85,49,-6,-3,1', '492255,-1105410,2701444,-3812238,930291,1876643,-585750,-778989,100291,306261,23420,-65396,-68637,24949,36212,-13389,-9002,4071,1443,-886,-75,102,-5,-6,1', '77983399939,8939570290,-2162663820,-15120203737,11554362054,-5024967220,2102903588,-461043992,259339724,-138992671,74445258,-30003054,8551174,-1356096,-16688,75476,16992,-29676,17807,-7112,2128,-506,92,-12,1', '833303689,122396080,1025587627,136382714,608082697,-930015782,670742347,-304891619,354176357,-25579651,461933151,-244205756,-90001114,52717822,14661634,42944783,1455644,-19358139,1715896,1616456,1261287,-1581068,709453,-226523,62329,-23949,16337,-15641,11767,-3871,342,-22,130,-93,34,-8,1']}, 'subfield_mults': [1], 'subfields': ['-1.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{5} - 2 a^{4} - a^{3} + a^{2} + 2 a + 1 \\)', '\\( a^{3} - a^{2} - a \\)', '\\( a^{5} - a^{4} - 2 a^{3} + a + 1 \\)', '\\( a^{4} - a^{3} - 2 a^{2} + 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5']}
Number field data - 6.4.104875.1