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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 4, 3, 0, -3, -4, -3, 0, 2, 0, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 4278387712, 'disc_rad': 8356226, 'disc_sign': -1, 'frobs': [[2, [0]], [3, [[10, 1]]], [5, [[10, 1]]], [7, [[10, 1]]], [11, [[4, 1], [3, 2]]], [13, [[4, 1], [3, 1], [2, 1], [1, 1]]], [17, [[10, 1]]], [19, [[8, 1], [2, 1]]], [23, [[5, 1], [3, 1], [2, 1]]], [29, [[9, 1], [1, 1]]], [31, [[8, 1], [2, 1]]], [37, [[6, 1], [4, 1]]], [41, [[4, 1], [3, 1], [2, 1], [1, 1]]], [43, [[7, 1], [3, 1]]], [47, [[10, 1]]], [53, [[7, 1], [1, 3]]], [59, [[4, 1], [3, 1], [1, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [7030800, 1814400], 'galois_label': '10T45', 'galt': 45, 'grd': 7829.530268378556, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.4.4278387712.1', 'local_algs': ['2.10.10.8', 'm4178113.1.1.0', 'm4178113.2.1.1', 'm4178113.1.7.0'], 'monogenic': 0, 'num_ram': 2, 'r2': 3, 'ramps': [2, 4178113], 'rd': 9.18603326599, 'regulator': {'__RealLiteral__': 0, 'data': '5.909096319482492', 'prec': 57}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{42}{53} a^{9} - \\frac{7}{53} a^{8} + \\frac{94}{53} a^{7} + \\frac{2}{53} a^{6} - \\frac{91}{53} a^{5} - \\frac{91}{53} a^{4} - \\frac{102}{53} a^{3} + \\frac{17}{53} a^{2} + \\frac{26}{53} a + \\frac{40}{53} \\)', '\\( \\frac{17}{53} a^{9} + \\frac{6}{53} a^{8} + \\frac{33}{53} a^{7} + \\frac{21}{53} a^{6} - \\frac{28}{53} a^{5} - \\frac{81}{53} a^{4} - \\frac{11}{53} a^{3} - \\frac{60}{53} a^{2} + \\frac{8}{53} a + \\frac{49}{53} \\)', '\\( \\frac{24}{53} a^{9} - \\frac{4}{53} a^{8} + \\frac{31}{53} a^{7} - \\frac{14}{53} a^{6} - \\frac{105}{53} a^{5} - \\frac{105}{53} a^{4} - \\frac{28}{53} a^{3} + \\frac{93}{53} a^{2} + \\frac{83}{53} a + \\frac{91}{53} \\)', '\\( a \\)', '\\( \\frac{4}{53} a^{9} + \\frac{17}{53} a^{8} + \\frac{14}{53} a^{7} + \\frac{33}{53} a^{6} + \\frac{9}{53} a^{5} - \\frac{44}{53} a^{4} - \\frac{93}{53} a^{3} - \\frac{11}{53} a^{2} - \\frac{48}{53} a + \\frac{24}{53} \\)', '\\( \\frac{3}{53} a^{9} - \\frac{27}{53} a^{8} - \\frac{16}{53} a^{7} - \\frac{68}{53} a^{6} - \\frac{86}{53} a^{5} + \\frac{20}{53} a^{4} + \\frac{76}{53} a^{3} + \\frac{111}{53} a^{2} + \\frac{123}{53} a + \\frac{71}{53} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', '1/53*a^9 - 9/53*a^8 - 23/53*a^7 - 5/53*a^6 - 11/53*a^5 - 11/53*a^4 - 10/53*a^3 - 16/53*a^2 - 12/53*a + 6/53']}