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{'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [-232, 1784, -356, -12, -19, -2, 1], 'conductor': 0, 'degree': 6, 'dirichlet_group': [], 'disc_abs': 84720204288, 'disc_rad': 366, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [0]], [5, [[6, 1]]], [7, [[5, 1], [1, 1]]], [11, [[4, 1], [1, 2]]], [13, [[2, 1], [1, 4]]], [17, [[4, 1], [1, 2]]], [19, [[3, 2]]], [23, [[3, 2]]], [29, [[5, 1], [1, 1]]], [31, [[5, 1], [1, 1]]], [37, [[3, 1], [1, 3]]], [41, [[4, 1], [2, 1]]], [43, [[6, 1]]], [47, [[6, 1]]], [53, [[4, 1], [2, 1]]], [59, [[3, 1], [2, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [1620, 1320, 360], 'galois_label': '6T16', 'galt': 16, 'grd': 278.4227431774625, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '6.4.84720204288.1', 'local_algs': ['2.2.3.4', '2.4.6.7', '3.1.0.1', '3.2.1.2', '3.3.5.1', '61.6.3.2'], 'minimal_sibling': [89, 54, -15, -30, 6, 0, 1], 'monogenic': 0, 'num_ram': 3, 'r2': 1, 'ramps': [2, 3, 61], 'rd': 66.2721661031, 'regulator': {'__RealLiteral__': 0, 'data': '12358.363282', 'prec': 40}, 'res': {'sex': ['89,54,-15,-30,6,0,1'], 'sib': ['89,54,-15,-30,6,0,1', '-2964,1200,2268,-544,-815,150,83,10,-6,-4,1', '-348665486832,-4569681602736,10752295816044,1921261900560,-13600113946992,3372475492152,5505724415916,-2383049290104,-553978841040,370430637044,-111989937387,42992785944,28781771000,-15627543930,-2147694435,708768606,76103568,90507456,3176847,3437658,-2594682,-2050434,228204,102150,8958,-1584,0,-50,-60,0,1', '-638673984,0,-1673291196,0,-375079248,0,970573104,0,-268627752,0,-399436596,0,39010248,0,51291468,0,6453108,0,-104247,0,-174960,0,-23598,0,-1284,0,205,0,34,0,1', '10368,-3348,-20376,30972,-792,-43632,3120,20664,840,-3203,-30,201,-46,-30,0,1', 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'45660552721571169,-53276198611241160,127084116125582316,-30479752771845414,76498796045103309,-32503532938891830,20745685164732329,-9932517908941512,4519918514754642,-1041340181732944,666837150078000,42211907132028,32348530866464,7371980562348,-2534124705246,-7247305092,26567130051,42439555188,-2617323726,-1974538782,420232959,-16877334,-9823707,3164508,-92393,-88116,8826,1090,-147,-6,1', '6561,0,35154,0,30483,0,3420,0,387,0,42,0,1', '800170713,-30059424,142971264,1014552,11894337,58968,562466,-216,14322,0,186,0,1', '91706274527921856,430786859946451200,1129087907985480192,855554088580500096,-450198051253036416,-1160069591276305920,79029795667383072,1010230904525849856,906537209316805008,361167606326215392,170540623650849408,69655428188590464,27055686836981448,1798374405081312,2464081926754752,-766143784123648,249019078878864,-48033126629184,8685062278704,-26745872496,-628297249860,200736979520,-40575852072,6500279640,1873504228,-413428800,354484308,-43636480,19642272,-1734336,632164,-36252,12354,-384,156,0,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{2}{1521} a^{5} + \\frac{1}{507} a^{4} - \\frac{55}{3042} a^{3} - \\frac{77}{234} a^{2} + \\frac{22}{169} a + \\frac{4261}{1521} \\)', '\\( \\frac{167}{6084} a^{5} - \\frac{85}{1014} a^{4} - \\frac{3437}{6084} a^{3} + \\frac{242}{117} a^{2} - \\frac{1442}{169} a + \\frac{1681}{1521} \\)', '\\( \\frac{5761}{6084} a^{5} - \\frac{405}{338} a^{4} - \\frac{106777}{6084} a^{3} - \\frac{5251}{234} a^{2} - \\frac{189140}{507} a + \\frac{2019845}{1521} \\)', '\\( \\frac{421}{6084} a^{5} + \\frac{307}{338} a^{4} - \\frac{15919}{6084} a^{3} - \\frac{2291}{117} a^{2} + \\frac{27715}{507} a - \\frac{10579}{1521} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', '1/2*a^3 - 1/2*a^2', '1/78*a^4 + 5/78*a^3 - 1/13*a^2 - 4/39*a + 16/39', '1/6084*a^5 - 1/338*a^4 + 269/6084*a^3 + 34/117*a^2 + 148/507*a - 574/1521']}