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nf_fields • Show schema
{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -2, 0, -1, 1, 2, 2, -4, 0, -1, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 17923019113, 'disc_rad': 2617, 'disc_sign': 1, 'frobs': [[2, [[5, 2]]], [3, [[5, 2]]], [5, [[4, 2], [2, 1]]], [7, [[4, 2], [2, 1]]], [11, [[6, 1], [3, 1], [1, 1]]], [13, [[5, 2]]], [17, [[3, 3], [1, 1]]], [19, [[4, 2], [2, 1]]], [23, [[5, 2]]], [29, [[2, 4], [1, 2]]], [31, [[2, 3], [1, 4]]], [37, [[5, 2]]], [41, [[4, 2], [2, 1]]], [43, [[4, 2], [2, 1]]], [47, [[2, 4], [1, 2]]], [53, [[2, 3], [1, 4]]], [59, [[3, 3], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [60], 'galois_label': '10T13', 'galt': 13, 'grd': 51.15662224971465, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '10.2.17923019113.1', 'local_algs': ['m2617.1.1.0', 'm2617.1.1.0', 'm2617.1.2.0', 'm2617.2.1.1', 'm2617.2.2.2'], 'minimal_sibling': [-1, 0, -2, 1, 0, 1], 'monogenic': 0, 'num_ram': 1, 'r2': 4, 'ramps': [2617], 'rd': 10.6008604331, 'regulator': {'__RealLiteral__': 0, 'data': '9.83053678535', 'prec': 44}, 'res': {'sib': ['-1,0,-2,1,0,1', '-1064,15,209,3,-18,-1,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( \\frac{27}{31} a^{9} - \\frac{12}{31} a^{8} - \\frac{17}{31} a^{7} - \\frac{114}{31} a^{6} + \\frac{1}{31} a^{5} + \\frac{89}{31} a^{4} + \\frac{73}{31} a^{3} - \\frac{14}{31} a^{2} - \\frac{25}{31} a - \\frac{30}{31} \\)', '\\( a \\)', '\\( \\frac{4}{31} a^{9} + \\frac{12}{31} a^{8} - \\frac{14}{31} a^{7} - \\frac{10}{31} a^{6} - \\frac{63}{31} a^{5} + \\frac{35}{31} a^{4} + \\frac{20}{31} a^{3} + \\frac{14}{31} a^{2} - \\frac{6}{31} a - \\frac{32}{31} \\)', '\\( \\frac{18}{31} a^{9} - \\frac{8}{31} a^{8} - \\frac{1}{31} a^{7} - \\frac{76}{31} a^{6} - \\frac{20}{31} a^{5} + \\frac{18}{31} a^{4} + \\frac{28}{31} a^{3} + \\frac{63}{31} a^{2} + \\frac{35}{31} a - \\frac{20}{31} \\)', '\\( \\frac{16}{31} a^{9} - \\frac{14}{31} a^{8} + \\frac{6}{31} a^{7} - \\frac{71}{31} a^{6} + \\frac{27}{31} a^{5} + \\frac{16}{31} a^{4} + \\frac{18}{31} a^{3} - \\frac{6}{31} a^{2} - \\frac{24}{31} a - \\frac{35}{31} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', '1/31*a^9 + 3/31*a^8 + 12/31*a^7 + 13/31*a^6 - 8/31*a^5 + 1/31*a^4 + 5/31*a^3 - 12/31*a^2 + 14/31*a - 8/31']}
Number field data - 10.2.17923019113.1