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{'cm': False, 'coeffs': [823600, -48, -140, -224, -210, -112, -28, 0, 1], 'conductor': 0, 'degree': 8, 'dirichlet_group': [], 'disc_abs': 5113757317969899544771546325450569302016, 'disc_rad': 1647214, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[5, 1], [3, 1]]], [5, [[7, 1], [1, 1]]], [7, [[3, 2], [1, 2]]], [11, [[5, 1], [3, 1]]], [13, [[4, 2]]], [17, [[4, 1], [2, 1], [1, 2]]], [19, [[5, 1], [3, 1]]], [23, [0]], [29, [[3, 1], [2, 2], [1, 1]]], [31, [[4, 1], [2, 1], [1, 2]]], [37, [[7, 1], [1, 1]]], [41, [[7, 1], [1, 1]]], [43, [[5, 1], [3, 1]]], [47, [[7, 1], [1, 1]]], [53, [[6, 1], [2, 1]]], [59, [[7, 1], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [55440, 17280, 17280], 'galois_label': '8T49', 'galt': 49, 'grd': 791497.6976297341, 'inessentialp': [2], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '8.0.5113757317969899544771546325450569302016.1', 'local_algs': ['2.2.2.1', '2.2.3.4', '2.4.9.3', '23.1.0.1', '23.7.6.1', 'm35809.1.1.0', 'm35809.7.1.6'], 'monogenic': -1, 'num_ram': 3, 'r2': 4, 'ramps': [2, 23, 35809], 'rd': 91958.6346001, 'res': {'sib': ['-253584783941,-41561684009,97003474443,29938206823,3702258007,1485255779,221847127,-80750237,-32949615,-3918875,-41503,23925,3101,161,-3,1', '-259108346693,-45602799913,94853826315,29395788135,3763107671,1546445411,240523351,-77851805,-32911983,-3965211,-50463,23157,3101,161,-3,1', '268435456,-7516192768,85496692736,-488552529920,2176716898304,-7375859744768,17628464676864,-32122536460288,38002522062848,351143460864,-35623290142720,-16753357094912,-3097958834176,-734010966016,-36644872192,167155064832,77856371712,18996647936,4570230272,994553344,88267888,-10795008,-2180864,107520,33712,-448,-280,0,1', '5148327407375089664,3555147977989292032,-22605579873001930752,1558006258571673600,36041304960162332672,-22764454819269705728,-13020729953858093056,14083496469969502208,2602601335794696192,-5175368594082496512,-70502982642302976,1215383419446362112,-70298811917926400,-199143638502998016,16389825301053440,23259348574666752,-1918521830244352,-1908126075830272,143863815430144,108506467315712,-7978301648896,-4390013466624,314608811008,128588029440,-7368309120,-2704891072,39415520,42752880,3630464,-637504,-135968,10416,2184,-140,-14,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', '1/2*a^4', '1/2*a^5', '1/4*a^6 - 1/2*a^2', '1/16*a^7 - 1/8*a^6 - 1/8*a^3 + 1/4*a^2 - 1/4*a - 1/2']}