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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-50029, -833, 4480, 106, -120, -2, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 7930284509, 'disc_rad': 23120363, 'disc_sign': 1, 'frobs': [[2, [[6, 1]]], [3, [[6, 1]]], [5, [[3, 2]]], [7, [0]], [11, [[3, 2]]], [13, [[2, 2], [1, 2]]], [17, [[3, 2]]], [19, [[3, 2]]], [23, [[6, 1]]], [29, [[2, 3]]], [31, [[3, 2]]], [37, [[3, 2]]], [41, [[1, 6]]], [43, [[1, 6]]], [47, [[6, 1]]], [53, [[6, 1]]], [59, [[6, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 12, 12], 'galois_label': '6T6', 'galt': 6, 'grd': 6650.388209700016, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '6.6.7930284509.2', 'local_algs': ['7.3.2.2', '7.3.2.2', 'm251.1.1.0', 'm251.1.1.0', 'm251.1.1.0', 'm251.1.1.0', 'm251.2.1.1', 'm13159.1.2.0', 'm13159.1.2.0', 'm13159.2.1.1'], 'monogenic': 0, 'num_ram': 3, 'r2': 0, 'ramps': [7, 251, 13159], 'rd': 44.656168865, 'regulator': {'__RealLiteral__': 0, 'data': '860.494377619', 'prec': 44}, 'res': {'gal': ['930639349567897082099,334618846992704411858,-485592349246830788123,-132016445141906152744,90127166888964890440,19124481581895320106,-8516276544345091781,-1412723949231898520,470004052993786507,60281236866020946,-16147773434202915,-1572078537769792,355479646825806,25616132456240,-5048296132264,-260170357240,45697653156,1606083978,-255426219,-5721396,833015,10668,-1434,-8,1'], 'sex': ['-825727,-1,1', '4267655,-406504,-12719,-1,1'], 'sib': ['12390400,0,-1606269,0,51041,0,-482,0,1', '66535057,80773618,-148541629,-66792013,46596986,9247585,-4343060,-225616,75928,1717,-477,-4,1']}, 'subfield_mults': [1], 'subfields': ['1.-2.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{2136}{1020089} a^{5} - \\frac{19847}{1020089} a^{4} - \\frac{154106}{1020089} a^{3} + \\frac{1435113}{1020089} a^{2} + \\frac{400391}{145727} a - \\frac{3568379}{145727} \\)', '\\( \\frac{2136}{1020089} a^{5} - \\frac{19847}{1020089} a^{4} - \\frac{154106}{1020089} a^{3} + \\frac{1435113}{1020089} a^{2} + \\frac{400391}{145727} a - \\frac{3422652}{145727} \\)', '\\( \\frac{8640}{1020089} a^{5} - \\frac{80280}{1020089} a^{4} - \\frac{451425}{1020089} a^{3} + \\frac{4590014}{1020089} a^{2} + \\frac{517601}{145727} a - \\frac{7127894}{145727} \\)', '\\( \\frac{22180}{145727} a^{5} - \\frac{230377}{145727} a^{4} - \\frac{1376445}{145727} a^{3} + \\frac{16340503}{145727} a^{2} + \\frac{18682755}{145727} a - \\frac{280011366}{145727} \\)', '\\( \\frac{64242442}{1020089} a^{5} - \\frac{547360033}{1020089} a^{4} - \\frac{4140200475}{1020089} a^{3} + \\frac{33804889501}{1020089} a^{2} + \\frac{9627313863}{145727} a - \\frac{70417820910}{145727} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', '1/1020089*a^5 - 42513/1020089*a^4 - 327685/1020089*a^3 - 118243/1020089*a^2 - 52277/145727*a + 10678/145727']}