Table lfunc_lfunctions
L-functions
{'Lhash': 'dirichlet_L_435.212', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [0.7818314824680298, 0.6234898018587335], 'a3': [1.0, -2.8163065144692913e-30], 'a4': [0.2225209339563144, 0.9749279121818236], 'a5': [1.0, -2.8163065144692913e-30], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [-0.9749279121818236, -0.2225209339563144], 'a8': [-0.4338837391175581, 0.9009688679024191], 'a9': [1.0, -2.8163065144692913e-30], 'algebraic': True, 'analytic_conductor': 2.0201315071893506, 'analytic_normalization': 0, 'bad_lfactors': [[3, [1]], [5, [1]], [29, [1]]], 'bad_primes': [3, 5, 29], 'central_character': '435.212', 'coeff_info': ['x^28 - 1', '0.974927912181824 + 0.222520933956314*I', '\\\\zeta_{28}'], 'conductor': 435, 'conductor_radical': 435, 'conjugate': 'dirichlet_L_435.158', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^3', 0, 'a^6', 0, 0, 'a^15', 'a^9', 0, 0, 'a^12', 0, 'a^5', 'a^18', 0, 'a^12', 'a^7', 0, 'a^20', 0, 0, 'a^15', 'a^11', 0, 0, 'a^8', 0, 'a^21', 0, 0, 'a^10', 'a^15', 0, 'a^10', 0, 0, 'a^9', 'a^23', 0, 0, 'a^0', 0, 'a^11', 'a^18', 0, 'a^14', 'a^19', 0, 'a^2', 0, 0, 'a^11', 'a^3', 0, 0, 'a^24', 0, 0, 'a^0', 0, 'a^22', 'a^13', 0, 'a^18', 0, 0, 'a^23', 'a^13', 0, 0, 'a^26', 0, 'a^11', 'a^12', 0, 'a^26', 'a^27', 0, 'a^16', 0, 0, 'a^3', 'a^27', 0, 0, 'a^14', 0, 'a^21', 'a^10', 0, 'a^20', 'a^17', 0, 'a^22', 0, 0, 'a^13', 'a^5', 0, 0], 'euler_factors': [[1, 'a^3'], [0], [0], [1, 'a^15'], [1, 'a^12'], [1, 'a^5'], [1, 'a^7'], [1, 'a^20'], [1, 'a^11'], [0], [1, 'a^10'], [1, 'a^9'], [1, 'a^0'], [1, 'a^11'], [1, 'a^19'], [1, 'a^3'], [1, 'a^0'], [1, 'a^22'], [1, 'a^23'], [1, 'a^26'], [1, 'a^11'], [1, 'a^16'], [1, 'a^27'], [1, 'a^10'], [1, 'a^13'], [1, 'a^4']], 'gamma_factors': [[0], []], 'id': 34939, 'index': 0, 'label': '1-435-435.212-r0-0-0', 'leading_term': '0.207256342198919029881512841404+1.22266718869333476838705197341*I', 'load_key': 'dirichlet', 'motivic_weight': 0, 'mu_imag': [0], 'mu_real': [0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 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