Formats: - HTML - YAML - JSON - 2026-09-22T08:17:57.142212
  • nf_fields • Show schema
    {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [97441, -47911, -92821, 32219, 27863, -8260, -3574, 977, 200, -52, -4, 1], 'conductor': 0, 'degree': 11, 'disc_abs': 28501271562015485137921, 'disc_rad': 641, 'disc_sign': 1, 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': True, 'galois_label': '11T3', 'galt': 3, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '11.11.28501271562015485137921.1', 'local_algs': ['m641.1.1.0', 'm641.5.1.4', 'm641.5.1.4'], 'maxp': 641, 'monogenic': 0, 'narrow_class_group': [], 'narrow_class_number': 1, 'num_ram': 1, 'r2': 0, 'ramps': [641], 'rd': 109.98951681605203, 'regulator': {'__RealLiteral__': 0, 'data': '60262018.5000102', 'prec': 50}, 'subfield_mults': [], 'subfields': [], 'torsion_order': 2, 'unit_signature_rank': 11, 'used_grh': False}
  • nf_fields_extra • Show schema
    {'dirichlet_group': [], 'frobs': [[2, [[11, 1]]], [3, [[5, 2], [1, 1]]], [5, [[11, 1]]], [7, [[5, 2], [1, 1]]], [11, [[5, 2], [1, 1]]], [13, [[5, 2], [1, 1]]], [17, [[5, 2], [1, 1]]], [19, [[5, 2], [1, 1]]], [23, [[5, 2], [1, 1]]], [29, [[11, 1]]], [31, [[11, 1]]], [37, [[5, 2], [1, 1]]], [41, [[5, 2], [1, 1]]], [43, [[5, 2], [1, 1]]], [47, [[5, 2], [1, 1]]], [53, [[5, 2], [1, 1]]], [59, [[5, 2], [1, 1]]]], 'label': '11.11.28501271562015485137921.1', 'torsion_gen': '\\( -1 \\)', 'units': ['\\( \\frac{449847925016}{133257556552321} a^{10} - \\frac{561364625602}{133257556552321} a^{9} - \\frac{25161684675998}{133257556552321} a^{8} + \\frac{21192371521767}{133257556552321} a^{7} + \\frac{509139714200566}{133257556552321} a^{6} - \\frac{227977706557420}{133257556552321} a^{5} - \\frac{4542140862854796}{133257556552321} a^{4} + \\frac{367683764720970}{133257556552321} a^{3} + \\frac{16926508213950885}{133257556552321} a^{2} + \\frac{2840704971679693}{133257556552321} a - \\frac{17286959150412709}{133257556552321} \\)', '\\( \\frac{3814337538496}{133257556552321} a^{10} - 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\\frac{89753644714257}{133257556552321} a^{7} - \\frac{556378786012886}{133257556552321} a^{6} + \\frac{1252415019378154}{133257556552321} a^{5} + \\frac{3790672117130662}{133257556552321} a^{4} - \\frac{6099808014347522}{133257556552321} a^{3} - \\frac{9739281852033809}{133257556552321} a^{2} + \\frac{7037816942320213}{133257556552321} a + \\frac{4918163420981224}{133257556552321} \\)', '\\( -\\frac{47736051848}{133257556552321} a^{10} + \\frac{105075992193}{133257556552321} a^{9} + \\frac{2495044474757}{133257556552321} a^{8} - \\frac{4136803238008}{133257556552321} a^{7} - \\frac{45056624272778}{133257556552321} a^{6} + \\frac{47750159339847}{133257556552321} a^{5} + \\frac{326372044497255}{133257556552321} a^{4} - \\frac{120133770652245}{133257556552321} a^{3} - \\frac{809120116329701}{133257556552321} a^{2} - \\frac{351170758158366}{133257556552321} a - \\frac{47431810348324}{133257556552321} \\)', '\\( -\\frac{2990767464297}{133257556552321} a^{10} + \\frac{3647462828489}{133257556552321} a^{9} + \\frac{166836915982064}{133257556552321} a^{8} - \\frac{140078762758269}{133257556552321} a^{7} - \\frac{3353483414665970}{133257556552321} a^{6} + \\frac{1576133461297188}{133257556552321} a^{5} + \\frac{29531369305773245}{133257556552321} a^{4} - \\frac{3511644899898882}{133257556552321} a^{3} - \\frac{108048463207986922}{133257556552321} a^{2} - \\frac{13818782638743798}{133257556552321} a + \\frac{108160867310170847}{133257556552321} \\)'], 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9', '1/133257556552321*a^10 - 41718082848977/133257556552321*a^9 - 27729203956439/133257556552321*a^8 + 63277957488948/133257556552321*a^7 - 424445719732/133257556552321*a^6 - 36703272043610/133257556552321*a^5 + 36837449335763/133257556552321*a^4 - 60939623055294/133257556552321*a^3 - 36714019056147/133257556552321*a^2 - 17258658480764/133257556552321*a - 38825014739497/133257556552321']}