Formats: - HTML - YAML - JSON - 2025-12-24T17:13:05.094983
Query: /api/lfunc_lfunctions/?_offset=0
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{'Lhash': 'dirichlet_L_21.5', 'a10': [0.5, -0.8660254037844386], 'a2': [0.5, 0.8660254037844386], 'a3': [1.0, -2.8163065144692913e-30], 'a4': [-0.5, 0.8660254037844386], 'a5': [-0.5, -0.8660254037844386], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [1.0, -2.8163065144692913e-30], 'a8': [-1.0, -1.4081532572346456e-30], 'a9': [1.0, -2.8163065144692913e-30], 'algebraic': True, 'analytic_conductor': 0.09752359000224452, 'analytic_normalization': 0, 'bad_lfactors': [[3, [1]], [7, [1]]], 'bad_primes': [3, 7], 'central_character': '21.5', 'coeff_info': ['x^6 - 1', '0.500000000000000 + 0.866025403784439*I', '\\\\zeta_{6}'], 'conductor': 21, 'conductor_radical': 21, 'conjugate': 'dirichlet_L_21.17', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^1', 0, 'a^2', 'a^4', 0, 0, 'a^3', 0, 'a^5', 'a^5', 0, 'a^3', 0, 0, 'a^4', 'a^2', 0, 'a^1', 'a^0', 0, 'a^0', 'a^1', 0, 'a^2', 'a^4', 0, 0, 'a^3', 0, 'a^5', 'a^5', 0, 'a^3', 0, 0, 'a^4', 'a^2', 0, 'a^1', 'a^0', 0, 'a^0', 'a^1', 0, 'a^2', 'a^4', 0, 0, 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