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{'class_group': [2], 'class_number': 2, 'cm': False, 'coeffs': [-6576, 0, 0, 0, 0, 1], 'conductor': 0, 'degree': 5, 'dirichlet_group': [], 'disc_abs': 57068608482000, 'disc_rad': 4110, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [0]], [5, [0]], [7, [[4, 1], [1, 1]]], [11, [[5, 1]]], [13, [[4, 1], [1, 1]]], [17, [[4, 1], [1, 1]]], [19, [[2, 2], [1, 1]]], [23, [[4, 1], [1, 1]]], [29, [[2, 2], [1, 1]]], [31, [[5, 1]]], [37, [[4, 1], [1, 1]]], [41, [[5, 1]]], [43, [[4, 1], [1, 1]]], [47, [[4, 1], [1, 1]]], [53, [[4, 1], [1, 1]]], [59, [[2, 2], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_disc_exponents': [16, 16, 15, 16], 'galois_label': '5T3', 'galt': 3, 'grd': 718.0008481899089, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '5.1.57068608482000.1', 'local_algs': ['2.5.4.1', '3.5.4.1', '5.1.0.1', '5.4.3.2', '137.5.4.1'], 'monogenic': 0, 'num_ram': 4, 'r2': 2, 'ramps': [2, 3, 5, 137], 'rd': 564.000457972, 'regulator': {'__RealLiteral__': 0, 'data': '96770.0151531', 'prec': 44}, 'res': {'gal': ['598043820125,0,9097452725,0,-13615907129,0,-62265250,0,46720641,0,8672435,0,-2619,0,-26290,0,11,0,5,0,1'], 'sib': ['43171439,230155,-263045,197290,-32865,13141,-15,10,5,-5,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{3075410965977700096407005678356706977346701617296036865284727178039717416145342023}{40} a^{4} - \\frac{2065487786584298160369823453661832913854789132412928556294692570911396486144565329}{5} a^{3} + \\frac{12898425371101168241785929511641028663811460170648264381736405242952770524567716647}{10} a^{2} + \\frac{8989450039253154619335177327390902576789851159182522564966135746053932109505382851}{5} a - \\frac{301510097832032079496235250854809593169188605012254323169406377952046954546923942819}{5} \\)', '\\( \\frac{2831570118361104715702954073104933793859398351662455148371848262763}{40} a^{4} + \\frac{529766104579171105978676706901585718586220134014029058632659761651}{5} a^{3} - \\frac{20032103083692523726257099469100936000569253664806422846287977476293}{10} a^{2} - \\frac{53751927160374220863936320593822250456613768522945943798859596335969}{5} a + \\frac{144443172552944486104726835424193694603217393196868924859646852620061}{5} \\)'], 'used_grh': False, 'zk': ['1', 'a', '1/2*a^2', '1/4*a^3', '1/40*a^4 - 1/10*a^3 - 1/10*a^2 + 2/5*a + 2/5']}