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{'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, -2, -1, 3, -5, 4, -3, 1], 'conductor': 0, 'degree': 7, 'dirichlet_group': [], 'disc_abs': 30558784, 'disc_rad': 1382, 'disc_sign': 1, 'frobs': [[2, [0]], [3, [[7, 1]]], [5, [[7, 1]]], [7, [[4, 1], [2, 1], [1, 1]]], [11, [[7, 1]]], [13, [[3, 2], [1, 1]]], [17, [[7, 1]]], [19, [[4, 1], [2, 1], [1, 1]]], [23, [[3, 2], [1, 1]]], [29, [[2, 2], [1, 3]]], [31, [[4, 1], [2, 1], [1, 1]]], [37, [[7, 1]]], [41, [[3, 2], [1, 1]]], [43, [[7, 1]]], [47, [[4, 1], [2, 1], [1, 1]]], [53, [[7, 1]]], [59, [[3, 2], [1, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [252, 84], 'galois_label': '7T5', 'galt': 5, 'grd': 74.35052118176442, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '7.3.30558784.1', 'local_algs': ['2.3.0.1', '2.4.6.7', 'm691.1.1.0', 'm691.1.1.0', 'm691.1.1.0', 'm691.2.2.2'], 'monogenic': 1, 'num_ram': 2, 'r2': 2, 'ramps': [2, 691], 'rd': 11.7301928633, 'regulator': {'__RealLiteral__': 0, 'data': '18.3119129313', 'prec': 44}, 'res': {'ae': ['4,-1,2,-2,-2,-1,0,1'], 'sib': ['4435,266,-968,-374,120,30,-4,-2,1', '-1,-1,1,-16,23,-68,77,-106,187,-148,151,-46,-148,133,14,-56,-5,31,-23,12,-4,1', '-32036,619,19757,2946,-6650,1169,-1089,224,252,-3,27,-34,2,-1,1', '-60568,-129304,-61228,32496,14577,-14958,-2230,3330,-792,-562,253,52,-27,-2,1', '1,2,12,8,60,-72,104,348,16,-372,1004,-18,-482,2194,-1990,1942,-108,-588,1600,-1752,1746,-1448,1068,-672,350,-150,48,-10,1', '3711737233,899355926,-7091426682,4608650720,3864043788,-2955626472,-4795210369,11820298342,-12411029360,6456478952,2658456587,-8624249312,9440354421,-5924209078,1469498187,1396521124,-2013676514,1424187654,-590815846,64970276,150940619,-169974894,118690848,-56406534,16706704,1241178,-4837247,4002596,-2402718,1306568,-564699,158890,21361,-60374,48601,-27708,13055,-5114,1670,-434,87,-12,1', '4096,-10240,15616,-41216,107696,-128808,142695,-197012,-54379,661520,-926730,818284,-1086202,-170888,4060128,-3954208,-3013028,5992286,509217,-5473378,1633256,3456052,-2708264,-711168,1685385,-451872,-424225,310268,26715,-118730,48640,15562,-28285,14878,-2795,-1466,1679,-1046,493,-170,43,-8,1', '51381,143184,332698,306046,623719,824256,1278826,1261582,1628790,1202544,1249358,732622,619829,289046,212280,79784,49944,12520,6172,140,208,-102,18,-6,1', '64,-64,64,1024,-3040,5728,-8672,1600,24800,-95808,190272,-323792,473944,-564248,647704,-720864,759648,-564448,436332,-403312,217120,-125352,103012,-52052,106055,-160557,152314,-166717,159307,-139319,106457,-70115,41752,-21884,10989,-5364,2593,-1223,504,-183,52,-10,1']}, 'subfield_mults': [], 'subfields': [], 'torsion_gen': '\\( -1 \\)', 'torsion_order': 2, 'units': ['\\( a^{6} - 3 a^{5} + 4 a^{4} - 5 a^{3} + 3 a^{2} - a - 2 \\)', '\\( a^{6} - 3 a^{5} + 3 a^{4} - 3 a^{3} + 2 a^{2} + a - 2 \\)', '\\( 2 a^{6} - 5 a^{5} + 5 a^{4} - 6 a^{3} + 2 a^{2} - a - 4 \\)', '\\( 2 a^{6} - 5 a^{5} + 5 a^{4} - 7 a^{3} + 2 a^{2} - 4 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6']}