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  • lfunc_lfunctions • Show schema
    {'Lhash': 'dirichlet_L_435.353', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [0.9749279121818236, 0.2225209339563144], 'a3': [1.0, -2.8163065144692913e-30], 'a4': [0.9009688679024191, 0.4338837391175581], 'a5': [1.0, -2.8163065144692913e-30], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [0.4338837391175581, 0.9009688679024191], 'a8': [0.7818314824680298, 0.6234898018587335], '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': '435.353', 'coeff_info': ['x^28 - 1', '0.974927912181824 + 0.222520933956314*I', '\\\\zeta_{28}'], 'conductor': 435, 'conductor_radical': 435, 'conjugate': 'dirichlet_L_435.122', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^1', 0, 'a^2', 0, 0, 'a^5', 'a^3', 0, 0, 'a^4', 0, 'a^11', 'a^6', 0, 'a^4', 'a^21', 0, 'a^16', 0, 0, 'a^5', 'a^13', 0, 0, 'a^12', 0, 'a^7', 0, 0, 'a^22', 'a^5', 0, 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{'__RealLiteral__': 0, 'data': '2.61465370488', 'prec': 40}, 'z3': {'__RealLiteral__': 0, 'data': '4.16682570709', 'prec': 40}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 2.0201315071893506, 'bad_primes': [3, 5, 29], 'central_character': '435.353', 'conductor': 435, 'conductor_radical': 435, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/435/353'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': False, 'is_instance_DIR': True, 'is_instance_ECNF': False, 'is_instance_ECQ': False, 'is_instance_G2Q': False, 'is_instance_HMF': False, 'is_instance_MaassGL3': False, 'is_instance_MaassGL4': False, 'is_instance_MaassGSp4': False, 'is_instance_NF': False, 'label': '1-435-435.353-r0-0-0', 'motivic_weight': 0, 'mu_imag': [0], 'mu_real': [0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'prelabel': '1-435-435.353-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.0201315071893506, 'root_angle': 0.18432508983389867, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '1.93231867721', 'prec': 40}}
  • lfunc_instances • Show schema
    {'Lhash': 'dirichlet_L_435.353', 'Lhash_array': ['dirichlet_L_435.353'], 'factors': ['1-435-435.353-r0-0-0'], 'label': '1-435-435.353-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/435/353'}