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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 1, -7, -1, 11, -3, -1, 1], 'conductor': 0, 'degree': 7, 'dirichlet_group': [], 'disc_abs': 91087936, 'disc_rad': 2386, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[4, 1], [2, 1], [1, 1]]], [5, [[7, 1]]], [7, [[7, 1]]], [11, [[7, 1]]], [13, [[4, 1], [2, 1], [1, 1]]], [17, [[3, 2], [1, 1]]], [19, [[7, 1]]], [23, [[3, 2], [1, 1]]], [29, [[2, 2], [1, 3]]], [31, [[3, 2], [1, 1]]], [37, [[3, 2], [1, 1]]], [41, [[7, 1]]], [43, [[4, 1], [2, 1], [1, 1]]], [47, [[3, 2], [1, 1]]], [53, [[7, 1]]], [59, [[2, 2], [1, 3]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [144, 84], 'galois_label': '7T5', 'galt': 5, 'grd': 62.56708654611023, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 2, 'label': '7.3.91087936.2', 'local_algs': ['2.7.6.1', 'm1193.1.1.0', 'm1193.1.2.0', 'm1193.2.1.1', 'm1193.2.1.1'], 'monogenic': 1, 'num_ram': 2, 'r2': 2, 'ramps': [2, 1193], 'rd': 13.7108960219, 'regulator': {'__RealLiteral__': 0, 'data': '41.2390108696', 'prec': 44}, 'res': {'ae': ['2,4,-2,-6,0,0,-2,1'], 'sib': ['340,411,-13,-217,29,37,-7,-3,1', '-188,1380,-3324,2492,378,94,-1032,1675,-1133,557,-135,7,15,-5,1', '1016,-1376,-1104,200,300,-2236,-1444,270,618,-30,-58,16,12,-6,1', '8,8,24,48,-16,72,-96,-100,88,-208,256,8,-36,100,-114,-6,30,-22,20,-2,-4,1', '1,-7,28,-88,178,-148,-306,1719,-3926,4049,2170,-18226,41700,-52222,23477,51602,-154120,229549,-225162,145660,-39852,-12151,-39852,145660,-225162,229549,-154120,51602,23477,-52222,41700,-18226,2170,4049,-3926,1719,-306,-148,178,-88,28,-7,1', '1,3,-8,-18,-32,-320,18,-611,-458,-1045,2052,-14748,17530,-51452,42169,-52994,23748,37599,-48106,87562,-66038,29645,-26474,-14224,35242,-30895,24770,-10056,2051,2404,-5480,3894,-1834,451,370,-577,452,-86,-116,68,-4,-5,1', '4437387,55994353,205976596,-49926646,1613193712,-3951053106,5658268282,-2643550141,-3917112752,13591945531,-25876312052,41496554628,-55347813486,60513939186,-52977205245,36766189348,-19323323846,6706493539,-251709468,-1629664990,1409950166,-708020221,224527230,-22172840,-18098352,7841145,3422604,-6422050,4632421,-2212156,695894,-80590,-67824,56083,-25748,7425,-966,-322,318,-124,36,-7,1', '7583345,-2752342,8776606,-17975382,7562536,-9690030,13099328,-2614122,1082657,-2205322,469830,-271088,237442,-8312,72608,-2486,14550,128,2360,-44,272,0,20,0,1', '81,-432,873,-267,-1960,3144,-642,-2243,2946,-2349,-1189,3300,26,542,2025,428,604,1491,813,367,368,-17,-124,-32,-42,-11,4,-1,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a \\)', '\\( a^{6} - a^{5} - 3 a^{4} + 11 a^{3} - a^{2} - 6 a + 2 \\)', '\\( 7 a^{6} - 2 a^{5} - 23 a^{4} + 61 a^{3} + 38 a^{2} - 27 a - 13 \\)', '\\( a^{6} - a^{5} - 3 a^{4} + 11 a^{3} - 5 a \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6']}