-
nf_fields • Show schema
{'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [16, -104, 132, -24, 4, -2, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 130367594816, 'disc_rad': 986, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[6, 1]]], [5, [[4, 1], [2, 1]]], [7, [[5, 1], [1, 1]]], [11, [[3, 1], [2, 1], [1, 1]]], [13, [[5, 1], [1, 1]]], [17, [0]], [19, [[3, 1], [2, 1], [1, 1]]], [23, [[3, 1], [1, 3]]], [29, [0]], [31, [[6, 1]]], [37, [[3, 1], [2, 1], [1, 1]]], [41, [[3, 1], [2, 1], [1, 1]]], [43, [[6, 1]]], [47, [[6, 1]]], [53, [[2, 2], [1, 2]]], [59, [[5, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [1080, 480, 360], 'galois_label': '6T16', 'galt': 16, 'grd': 100.70320051297317, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 6, 'label': '6.2.130367594816.6', 'local_algs': ['2.2.0.1', '2.4.6.7', '17.6.4.2', '29.2.1.1', '29.2.1.2', '29.2.1.2'], 'minimal_sibling': [1, 2, -4, 2, 1, -2, 1], 'monogenic': 0, 'num_ram': 3, 'r2': 2, 'ramps': [2, 17, 29], 'rd': 71.2079159699, 'regulator': {'__RealLiteral__': 0, 'data': '1708.95585172', 'prec': 44}, 'res': {'sex': ['1,2,-4,2,1,-2,1'], 'sib': ['1,2,-4,2,1,-2,1', '-11791088,-33735056,2448816,174466688,357400924,-458179196,-943998572,1187420288,-722502721,236974199,361452242,-348183507,113719219,-23173332,-33654845,17579007,1253746,-1240763,815871,122280,-232611,38733,6390,-10049,2249,172,-175,45,10,-5,1', '-13936004,42600642,132800465,-100401564,1157128010,-551272914,2551200893,-2555010444,4769469916,-4914253712,5617780548,-4612473840,3624865504,-2246470912,1277653338,-588173484,252464824,-94696600,37947022,-13788836,4774500,-1162120,229360,-19248,1524,1286,-267,88,14,-6,1', '-1888551317,8306238348,12746921034,-119424418616,226911327394,-82856139396,-443489994473,1045123652832,-1210040269965,974676186706,-673928491773,380367624206,-150626863247,22456889132,32907950945,-44956756250,33847524126,-16308834976,3788293211,1606861560,-2497344893,1549119862,-533868652,27988178,92060190,-63687594,22712157,-1866884,-2964353,1647584,-384527,4508,50446,-23188,2692,668,-346,118,-9,-6,1', '-246104,890648,-4290220,3293716,12939288,-61175450,165530505,-299404941,419538744,-578352039,824880502,-976348830,1033773792,-1193345866,1373502132,-1317221950,1130499348,-1033252752,949649931,-744195577,467628522,-241899377,96149619,-2774517,-48858872,61535747,-50671747,33690713,-19779522,11064473,-6318507,3683283,-2080772,1124473,-605062,332962,-184952,101828,-54201,26359,-10896,3595,-897,159,-18,1', '-30,124,-188,70,87,-98,11,26,-9,-2,1', '-30976,0,698985,0,3361770,0,4399605,0,4117830,0,2041364,0,908392,0,505971,0,263444,0,59829,0,1154,0,-1489,0,-58,0,54,0,12,0,1', '1,-2,1,-2,-3,12,-19,-44,150,-764,1740,-764,150,-44,-19,12,-3,-2,1,-2,1', '1,-6,21,-58,132,-270,494,-930,1466,-2234,3010,-4094,4810,-5898,6810,-6580,6810,-5898,4810,-4094,3010,-2234,1466,-930,494,-270,132,-58,21,-6,1', '1,0,3,-1,-5,-10,1,-3,-8,-4,-2,2,-1,4,-3,1', '1,18,-330,3603,-12164,-550,-81849,835828,-1826048,968938,1822596,-3219742,834105,2872582,-3928534,1421265,924386,-1142208,263833,190654,-63120,-67342,-22220,2272,2095,704,132,-45,-22,0,1', '109,14,-470,1094,-517,-476,422,-48,-91,50,-5,-2,1', '1149941,-28280904,116803362,-167671806,43085312,434480994,-554939888,-162693696,7133712,576128830,346352021,-1294188572,1154370819,-364487658,-620367105,1151485976,-1112222917,797087648,-433138014,181862020,-53174482,3983902,7528879,-6035444,2914489,-1017228,228451,2938,-31150,16792,-5598,1288,-105,-78,43,-10,1', '149776,920512,65626528,-498853552,2096907944,-5263294024,8702527536,-8854666324,4184840497,4203347274,-11463877374,13780521690,-9352298776,93647608,10175892342,-17499036632,20141476174,-18681375708,14911719032,-10507619240,6617305440,-3776569896,2003665318,-1019051958,502116180,-232391596,95516646,-33090090,9220299,-1850694,120060,103898,-57314,15778,-1660,-648,459,-166,44,-8,1', '2459676456,-9523023120,30330228312,-4329047640,-40860028940,11144739136,12782551200,-3202719880,10306935498,-7356132668,-7953353966,7208242218,1594128213,-1100514164,-73155834,-231245998,272627764,48893718,-34636500,-51716096,-69619651,-25755270,-3635142,-883694,3233022,3487892,2004074,1988214,1046623,482748,273916,83180,35247,13928,2496,1338,243,32,28,-2,1', '4,136,1700,8688,15941,4160,26975,35810,16830,-4260,-17109,-1574,-1116,1162,-664,408,-146,90,-4,-4,1', '52,264,-217,-676,583,-68,-53,160,-31,-12,5,-4,1', '64,-281,394,2677,-7716,8124,-6490,4619,-3012,1439,-602,271,-80,18,-6,1', '75384,-8368,-252024,-174836,1334430,2846040,2059015,-2427144,-3328634,-1356654,2231512,-1697178,-3228928,-4196406,-706133,-1339898,-256476,-542208,371816,-75036,65100,-37578,27755,-5798,-1394,-518,343,18,-4,-6,1', '865,50966,-70921,-40012,-157214,252204,72184,72846,-33222,-63210,-46352,1094,-4361,-1336,1936,-530,-97,64,1,-6,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{4} + \\frac{11}{4} a^{3} + 8 a^{2} - \\frac{23}{2} a + 2 \\)', '\\( \\frac{15}{8} a^{5} - \\frac{13}{2} a^{4} + \\frac{9}{2} a^{3} - \\frac{99}{2} a^{2} + \\frac{663}{2} a - 206 \\)', '\\( \\frac{59}{8} a^{5} - \\frac{25}{4} a^{4} + \\frac{57}{4} a^{3} - 198 a^{2} + 626 a - 121 \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2', '1/4*a^3 - 1/2*a', '1/4*a^4', '1/8*a^5 - 1/2*a']}
Number field data - 6.2.130367594816.6