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nf_fields • Show schema
{'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [240, 137, 191, 43, 65, -11, 7, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 2528484794641, 'disc_rad': 1261, 'disc_sign': 1, 'frobs': [[2, [[7, 1], [1, 1]]], [3, [[7, 1], [1, 1]]], [5, [[3, 2], [1, 2]]], [7, [[3, 2], [1, 2]]], [11, [[3, 2], [1, 2]]], [13, [0]], [17, [[7, 1], [1, 1]]], [19, [[6, 1], [2, 1]]], [23, [[6, 1], [2, 1]]], [29, [[7, 1], [1, 1]]], [31, [[6, 1], [2, 1]]], [37, [[2, 4]]], [41, [[7, 1], [1, 1]]], [43, [[6, 1], [2, 1]]], [47, [[7, 1], [1, 1]]], [53, [[6, 1], [2, 1]]], [59, [[3, 2], [1, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [112, 112], 'galois_label': '8T36', 'galt': 36, 'grd': 116.71949263039971, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 4, 'label': '8.0.2528484794641.4', 'local_algs': ['13.2.0.1', '13.6.4.2', '97.1.0.1', '97.1.0.1', '97.3.2.2', '97.3.2.2'], 'monogenic': 0, 'num_ram': 2, 'r2': 4, 'ramps': [13, 97], 'rd': 35.5105618091, 'regulator': {'__RealLiteral__': 0, 'data': '1419.45248175', 'prec': 44}, 'res': {'sib': ['-18301645687,231784221656,543270724490,-5988689122963,-12709828547530,36067832010976,83824974722253,-74418512219558,-195692509458628,95015859455663,229435062000738,-104703427735579,-162209630582220,93783795640230,78098833477373,-59432101933899,-27699551607967,25813325569400,7395375744835,-7732687529407,-1457629108770,1592384864228,211325560833,-219987397830,-23258576407,18547461989,2075222416,-496546744,-216839633,-62448581,23015351,5608687,-1503696,54367,11856,-11836,-1563,790,114,-26,20,-9,1', '-3025,0,694,0,2977,0,119,0,-669,0,-166,0,-4,0,1', '411278125,-232982375,-236107650,-190739705,457190679,-2063865236,4724393211,-4901096464,3303644364,-2211978051,1368590929,-563978787,196806410,-125980934,76632829,-28203394,9324387,-4832730,2201512,-683895,216542,-82839,25012,-6070,1620,-366,51,-7,1', '741949632,46564324,6014828059,-12020036954,9268035891,-2677520801,-999562322,1343978432,-555747066,20819035,70473257,-32322272,5916975,1240686,-660221,129938,-4260,13107,-2388,-814,958,-275,65,-9,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{869051}{5804911} a^{7} - \\frac{524234}{5804911} a^{6} + \\frac{4016455}{5804911} a^{5} - \\frac{12714000}{5804911} a^{4} + \\frac{52032702}{5804911} a^{3} + \\frac{30708619}{5804911} a^{2} + \\frac{3554006}{829273} a - \\frac{87764561}{5804911} \\)', '\\( \\frac{417458}{5804911} a^{7} - \\frac{194771}{5804911} a^{6} + \\frac{936325}{5804911} a^{5} - \\frac{8383580}{5804911} a^{4} + \\frac{17648140}{5804911} a^{3} + \\frac{27614758}{5804911} a^{2} + \\frac{5818651}{829273} a - \\frac{8388643}{5804911} \\)', '\\( \\frac{182878}{5804911} a^{7} + \\frac{318460}{5804911} a^{6} - \\frac{1683830}{5804911} a^{5} + \\frac{4402075}{5804911} a^{4} + \\frac{1738579}{5804911} a^{3} + \\frac{14895214}{5804911} a^{2} + \\frac{1513076}{829273} a + \\frac{22723223}{5804911} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', '1/5804911*a^7 + 2450864/5804911*a^6 - 1799145/5804911*a^5 - 2876403/5804911*a^4 - 2886575/5804911*a^3 - 982460/5804911*a^2 + 176793/829273*a - 2608210/5804911']}
Number field data - 8.0.2528484794641.4