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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [-1, 13, -70, 203, -382, 486, -391, 239, -142, 61, -11, -8, 12, -6, 1], 'conductor': 0, 'degree': 14, 'dirichlet_group': [], 'disc_abs': 9269035929372191597, 'disc_rad': 53, 'disc_sign': 1, 'frobs': [[2, [[8, 1], [4, 1], [2, 1]]], [3, [[8, 1], [4, 1], [2, 1]]], [5, [[8, 1], [4, 1], [2, 1]]], [7, [[4, 2], [2, 2], [1, 2]]], [11, [[7, 2]]], [13, [[3, 4], [1, 2]]], [17, [[3, 4], [1, 2]]], [19, [[8, 1], [4, 1], [2, 1]]], [23, [[8, 1], [4, 1], [2, 1]]], [29, [[4, 2], [2, 2], [1, 2]]], [31, [[6, 2], [2, 1]]], [37, [[7, 2]]], [41, [[6, 2], [2, 1]]], [43, [[3, 4], [1, 2]]], [47, [[7, 2]]], [53, [0]], [59, [[7, 2]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [280], 'galois_label': '14T16', 'galt': 16, 'grd': 27.346173066268356, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': False, 'iso_number': 1, 'label': '14.6.9269035929372191597.1', 'local_algs': ['53.2.1.1', '53.6.5.1', '53.6.5.1'], 'minimal_sibling': [1, 5, 5, -2, 2, -3, 3, -1, 1], 'monogenic': 0, 'num_ram': 1, 'r2': 4, 'ramps': [53], 'rd': 22.6354005083, 'regulator': {'__RealLiteral__': 0, 'data': '25636.9775584', 'prec': 44}, 'res': {'sib': ['1,5,5,-2,2,-3,3,-1,1']}, 'subfield_mults': [1], 'subfields': ['-13.-1.1'], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( \\frac{122110535}{46358198} a^{13} - 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\\frac{278297151}{46358198} a^{12} + \\frac{528187019}{46358198} a^{11} - \\frac{278391759}{46358198} a^{10} - \\frac{298229871}{23179099} a^{9} + \\frac{2805009891}{46358198} a^{8} - \\frac{6301261013}{46358198} a^{7} + \\frac{5098963351}{23179099} a^{6} - \\frac{16687708489}{46358198} a^{5} + \\frac{20105251713}{46358198} a^{4} - \\frac{84168171}{277594} a^{3} + \\frac{3317852305}{23179099} a^{2} - \\frac{959224144}{23179099} a + \\frac{193153431}{46358198} \\)', '\\( \\frac{3382775}{46358198} a^{13} - \\frac{4191651}{46358198} a^{12} - \\frac{44640691}{46358198} a^{11} + \\frac{106044587}{46358198} a^{10} - \\frac{34113770}{23179099} a^{9} - \\frac{9985639}{46358198} a^{8} + \\frac{366211601}{46358198} a^{7} - \\frac{435813747}{23179099} a^{6} + \\frac{1282159993}{46358198} a^{5} - \\frac{2658448317}{46358198} a^{4} + \\frac{19544495}{277594} a^{3} - \\frac{909753796}{23179099} a^{2} + \\frac{320666609}{23179099} a - \\frac{69986225}{46358198} \\)', '\\( \\frac{94368325}{46358198} a^{13} - \\frac{527446151}{46358198} a^{12} + \\frac{917634965}{46358198} a^{11} - \\frac{387619383}{46358198} a^{10} - \\frac{590720405}{23179099} a^{9} + \\frac{5264151089}{46358198} a^{8} - \\frac{11262459643}{46358198} a^{7} + \\frac{9012189231}{23179099} a^{6} - \\frac{29688106743}{46358198} a^{5} + \\frac{34000043931}{46358198} a^{4} - \\frac{135305945}{277594} a^{3} + \\frac{5224489494}{23179099} a^{2} - \\frac{1350686755}{23179099} a + \\frac{268120589}{46358198} \\)', '\\( \\frac{16742709}{23179099} a^{13} - \\frac{96242787}{23179099} a^{12} + \\frac{173749121}{23179099} a^{11} - \\frac{74524234}{23179099} a^{10} - \\frac{227257810}{23179099} a^{9} + \\frac{966684485}{23179099} a^{8} - \\frac{2089591610}{23179099} a^{7} + \\frac{3322880448}{23179099} a^{6} - \\frac{5406195579}{23179099} a^{5} + \\frac{6325424696}{23179099} a^{4} - \\frac{24339050}{138797} a^{3} + \\frac{1585267829}{23179099} a^{2} - \\frac{439557642}{23179099} a + \\frac{50187517}{23179099} \\)', '\\( \\frac{161823485}{46358198} a^{13} - \\frac{880899425}{46358198} a^{12} + \\frac{1457815227}{46358198} a^{11} - \\frac{504497397}{46358198} a^{10} - \\frac{1025758479}{23179099} a^{9} + \\frac{8744426125}{46358198} a^{8} - \\frac{18175623359}{46358198} a^{7} + \\frac{14383659192}{23179099} a^{6} - \\frac{47505162299}{46358198} a^{5} + \\frac{52662426509}{46358198} a^{4} - \\frac{198554443}{277594} a^{3} + \\frac{7348094735}{23179099} a^{2} - \\frac{1612127387}{23179099} a + \\frac{276332911}{46358198} \\)', '\\( \\frac{15256237}{23179099} a^{13} - \\frac{62423192}{23179099} a^{12} + \\frac{31359843}{23179099} a^{11} + \\frac{106718763}{23179099} a^{10} - \\frac{214643605}{23179099} a^{9} + \\frac{561136575}{23179099} a^{8} - \\frac{674282549}{23179099} a^{7} + \\frac{703793371}{23179099} a^{6} - \\frac{1384760340}{23179099} a^{5} - \\frac{211358050}{23179099} a^{4} + \\frac{12461655}{138797} a^{3} - \\frac{1441097667}{23179099} a^{2} + \\frac{791162426}{23179099} a - \\frac{110576834}{23179099} \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', 'a^10', 'a^11', 'a^12', '1/46358198*a^13 - 17590195/46358198*a^12 - 17387659/46358198*a^11 + 9967515/46358198*a^10 - 6430154/23179099*a^9 - 9417277/46358198*a^8 - 20259991/46358198*a^7 - 58865/23179099*a^6 - 20470477/46358198*a^5 - 1795295/46358198*a^4 + 18067/277594*a^3 - 9963703/23179099*a^2 - 6985898/23179099*a - 17283405/46358198']}