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lfunc_lfunctions • Show schema
{'Lhash': 'dirichlet_L_1225.254', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [-0.5256837698105047, 0.8506800656873396], 'a3': [-0.01495940701526362, -0.9998881018102734], 'a4': [-0.4473131483156326, -0.8943774076663368], 'a5': [1.0, -2.8163065144692913e-30], 'a6': [0.8584487936018661, 0.5128992774059061], 'a7': [1.0, -2.8163065144692913e-30], 'a8': [0.9959742939952391, 0.0896393089034335], 'a9': [-0.9995524322835033, 0.029915466169398455], 'algebraic': True, 'analytic_conductor': 5.6888760834642635, 'analytic_normalization': 0, 'bad_lfactors': [[5, [1]], [7, [1]]], 'bad_primes': [5, 7], 'central_character': '1225.254', 'coeff_info': ['x^210 - 1', '0.999552432283503 + 0.0299154661693985*I', '\\\\zeta_{210}'], 'conductor': 1225, 'conductor_radical': 35, 'conjugate': 'dirichlet_L_1225.844', 'degree': 1, 'dirichlet_coefficients': ['a^0', 'a^71', 'a^157', 'a^142', 0, 'a^18', 0, 'a^3', 'a^104', 0, 'a^106', 'a^89', 'a^99', 0, 0, 'a^74', 'a^103', 'a^175', 'a^98', 0, 0, 'a^177', 'a^191', 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'1-35e2-1225.254-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.6888760834642635, 'root_angle': 0.08081632653061224, 'root_number': '0.873824186334525815787565465930+0.486242009062158168578887798519*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0808163265306', 'prec': 50}, 'spectral_label': 'r0-0', 'st_group': 'mu(210)', 'symmetry_type': 'unitary', 'types': ['DIR'], 'values': [[1, '0.638045083609256444691472536484+0.0430645505090901772986634444150*I']], 'z1': {'__RealLiteral__': 0, 'data': '0.696706218873', 'prec': 47}, 'z2': {'__RealLiteral__': 0, 'data': '1.99235113182', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '2.7478489408', 'prec': 40}} -
lfunc_search • Show schema
{'algebraic': True, 'analytic_conductor': 5.6888760834642635, 'bad_primes': [5, 7], 'central_character': '1225.254', 'conductor': 1225, 'conductor_radical': 35, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/1225/254'], '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': '1-35e2-1225.254-r0-0-0', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'prelabel': '1-35e2-1225.254-r0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.6888760834642635, 'root_angle': 0.08081632653061224, 'self_dual': False, 'spectral_label': 'r0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.696706218873', 'prec': 47}} -
lfunc_instances • Show schema
{'Lhash': 'dirichlet_L_1225.254', 'Lhash_array': ['dirichlet_L_1225.254'], 'factors': ['1-35e2-1225.254-r0-0-0'], 'label': '1-35e2-1225.254-r0-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/1225/254'}
Lfunction data - 1-35e2-1225.254-r0-0-0