Table lfunc_lfunctions
L-functions
{'Lhash': 'dirichlet_L_1840.123', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [1.0, -2.8163065144692913e-30], 'a3': [0.6548607339452851, -0.7557495743542583], 'a4': [1.0, -2.8163065144692913e-30], 'a5': [1.0, -2.8163065144692913e-30], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [0.9096319953545183, -0.41541501300188644], 'a8': [1.0, -2.8163065144692913e-30], 'a9': [-0.14231483827328514, -0.9898214418809327], 'algebraic': True, 'analytic_conductor': 8.544924076387138, 'analytic_normalization': 0, 'bad_lfactors': [[2, [1]], [5, [1]], [23, [1]]], 'bad_primes': [2, 5, 23], 'central_character': '1840.123', 'coeff_info': ['x^44 - 1', '0.989821441880933 + 0.142314838273285*I', '\\\\zeta_{44}'], 'conductor': 1840, 'conductor_radical': 230, 'conjugate': 'dirichlet_L_1840.1107', 'degree': 1, 'dirichlet_coefficients': ['a^0', 0, 'a^38', 0, 0, 0, 'a^41', 0, 'a^32', 0, 'a^53', 0, 'a^36', 0, 0, 0, 'a^29', 0, 'a^37', 0, 'a^35', 0, 0, 0, 0, 0, 'a^70', 0, 'a^51', 0, 'a^50', 0, 'a^3', 0, 0, 0, 'a^32', 0, 'a^30', 0, 'a^34', 0, 'a^60', 0, 0, 0, 'a^55', 0, 'a^38', 0, 'a^23', 0, 'a^30', 0, 0, 0, 'a^31', 0, 'a^47', 0, 'a^61', 0, 'a^29', 0, 0, 0, 'a^24', 0, 0, 0, 'a^24', 0, 'a^37', 0, 0, 0, 'a^50', 0, 'a^36', 0, 'a^20', 0, 'a^54', 0, 0, 0, 'a^1', 0, 'a^60', 0, 'a^33', 0, 'a^0', 0, 0, 0, 'a^1', 0, 'a^41', 0], 'euler_factors': [[0], [1, 'a^38'], [0], [1, 'a^41'], [1, 'a^53'], [1, 'a^36'], [1, 'a^29'], [1, 'a^37'], [0], [1, 'a^51'], [1, 'a^50'], [1, 'a^32'], [1, 'a^34'], [1, 'a^60'], [1, 'a^55'], [1, 'a^30'], [1, 'a^47'], [1, 'a^61'], [1, 'a^24'], [1, 'a^24'], [1, 'a^37'], [1, 'a^36'], [1, 'a^54'], [1, 'a^60'], [1, 'a^1'], [1, 'a^43']], 'gamma_factors': [[0], []], 'id': 625048, 'index': 0, 'label': '1-1840-1840.123-r0-0-0', 'leading_term': '1.62219514759644706583037806418-1.71001774094890002279792257077*I', 'load_key': 'dirichlet', 'motivic_weight': 0, 'mu_imag': [0], 'mu_real': [0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'origin': 'Character/Dirichlet/1840/123', 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