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{'class_group': [3], 'class_number': 3, 'cm': False, 'coeffs': [171031, 91512, -85043, -12788, 6020, 446, -144, -4, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 2474546022446481, 'disc_rad': 7053, 'disc_sign': 1, 'frobs': [[2, [[4, 2]]], [3, [0]], [5, [[4, 2]]], [7, [[3, 2], [1, 2]]], [11, [[4, 2]]], [13, [[2, 4]]], [17, [[3, 2], [1, 2]]], [19, [[3, 2], [1, 2]]], [23, [[4, 2]]], [29, [[3, 2], [1, 2]]], [31, [[3, 2], [1, 2]]], [37, [[4, 2]]], [41, [[2, 4]]], [43, [[2, 4]]], [47, [[3, 2], [1, 2]]], [53, [[3, 2], [1, 2]]], [59, [[4, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [12, 12], 'galois_label': '8T14', 'galt': 14, 'grd': 83.98214095865859, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '8.8.2474546022446481.1', 'local_algs': ['3.4.2.1', '3.4.2.1', 'm2351.2.2.2', 'm2351.2.2.2'], 'minimal_sibling': [3, 3, -4, -2, 1], 'monogenic': 0, 'num_ram': 2, 'r2': 0, 'ramps': [3, 2351], 'rd': 83.9821409587, 'regulator': {'__RealLiteral__': 0, 'data': '54052.161116', 'prec': 40}, 'res': {'gal': ['2642821,-15326560,19974274,39898744,-109163093,4655014,171977991,-90989080,-121580494,102423198,41197059,-52814816,-5455858,15167532,-487875,-2580816,264274,262302,-36713,-15408,2441,478,-79,-6,1'], 'sib': ['3,3,-4,-2,1', '-4,0,17,0,-11,0,1', '75,474,517,-17,-49,-1,1', '-27,-513,483,2493,151,-3198,-1737,504,431,-21,-36,0,1', '62500,0,-229977,0,130389,0,-26474,0,2187,0,-78,0,1']}, 'subfield_mults': [1, 1], 'subfields': ['-1763.-1.1', '3.3.-4.-2.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{2605}{5797566} a^{6} - \\frac{2605}{1932522} a^{5} - \\frac{297187}{5797566} a^{4} + \\frac{607399}{5797566} a^{3} + \\frac{3340895}{2898783} a^{2} - \\frac{3493396}{2898783} a - \\frac{12387035}{5797566} \\)', '\\( \\frac{887}{2898783} a^{6} - \\frac{887}{966261} a^{5} - \\frac{201271}{5797566} a^{4} + \\frac{205706}{2898783} a^{3} + \\frac{2041460}{2898783} a^{2} - \\frac{4289513}{5797566} a + \\frac{2586505}{5797566} \\)', '\\( \\frac{775}{966261} a^{6} - \\frac{775}{322087} a^{5} - \\frac{182393}{1932522} a^{4} + \\frac{186268}{966261} a^{3} + \\frac{2190019}{966261} a^{2} - \\frac{4567081}{1932522} a - \\frac{10302571}{1932522} \\)', '\\( \\frac{551}{2898783} a^{7} - \\frac{50}{966261} a^{6} - \\frac{153655}{5797566} a^{5} - \\frac{5158}{2898783} a^{4} + \\frac{2799752}{2898783} a^{3} - \\frac{1707185}{5797566} a^{2} - \\frac{57202571}{5797566} a + \\frac{4565154}{322087} \\)', '\\( \\frac{2045}{5797566} a^{7} + \\frac{2101}{2898783} a^{6} - \\frac{281003}{5797566} a^{5} - \\frac{124865}{966261} a^{4} + \\frac{9028807}{5797566} a^{3} + \\frac{24462349}{5797566} a^{2} - \\frac{25493944}{2898783} a - \\frac{60069805}{5797566} \\)', '\\( \\frac{10747}{2898783} a^{7} - \\frac{715}{21159} a^{6} - \\frac{2090093}{5797566} a^{5} + \\frac{3365024}{966261} a^{4} + \\frac{13102664}{2898783} a^{3} - \\frac{400845239}{5797566} a^{2} + \\frac{201556687}{5797566} a + \\frac{391684066}{2898783} \\)', '\\( \\frac{39961}{5797566} a^{7} - \\frac{76301}{1932522} a^{6} - \\frac{2439173}{2898783} a^{5} + \\frac{23214895}{5797566} a^{4} + \\frac{72685352}{2898783} a^{3} - \\frac{445023485}{5797566} a^{2} - \\frac{611031334}{2898783} a - \\frac{109583903}{966261} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/2*a^4 - 1/2*a - 1/2', '1/2*a^5 - 1/2*a^2 - 1/2*a', '1/5797566*a^6 - 1/1932522*a^5 - 401213/2898783*a^4 + 1604857/5797566*a^3 + 357371/2898783*a^2 - 1517171/5797566*a + 779348/2898783', '1/5797566*a^7 - 802435/5797566*a^5 - 802421/5797566*a^4 - 268253/5797566*a^3 + 627055/5797566*a^2 + 2804749/5797566*a - 186913/966261']}