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{'Lhash': 'dirichlet_L_6012.707', 'a10': [1.0, -2.8163065144692913e-30], 'a2': [1.0, -2.8163065144692913e-30], 'a3': [1.0, -2.8163065144692913e-30], 'a4': [1.0, -2.8163065144692913e-30], 'a5': [-0.6050010254074561, 0.7962246914382438], 'a6': [1.0, -2.8163065144692913e-30], 'a7': [0.6821521345022378, -0.7312102744040464], 'a8': [1.0, -2.8163065144692913e-30], 'a9': [1.0, -2.8163065144692913e-30], 'algebraic': True, 'analytic_conductor': 646.0791278652856, 'analytic_normalization': 0, 'bad_lfactors': [[2, [1]], [3, [1]], [167, [1]]], 'bad_primes': [2, 3, 167], 'central_character': '6012.707', 'coeff_info': ['x^498 - 1', '0.999920408755684 + 0.0126165032345036*I', '\\\\zeta_{498}'], 'conductor': 6012, 'conductor_radical': 1002, 'conjugate': 'dirichlet_L_6012.1199', 'degree': 1, 'dirichlet_coefficients': ['a^0', 0, 0, 0, 'a^176', 0, 'a^433', 0, 0, 0, 'a^280', 0, 'a^449', 0, 0, 0, 'a^198', 0, 'a^663', 0, 0, 0, 'a^575', 0, 'a^352', 0, 0, 0, 'a^421', 0, 'a^485', 0, 0, 0, 'a^609', 0, 'a^195', 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'0.984155909222889203301214999541+0.0444848626601537543668173082350*I']], 'z1': {'__RealLiteral__': 0, 'data': '0.466185033265', 'prec': 47}, 'z2': {'__RealLiteral__': 0, 'data': '1.33619198556', 'prec': 44}, 'z3': {'__RealLiteral__': 0, 'data': '2.32470053408', 'prec': 44}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 646.0791278652856, 'bad_primes': [2, 3, 167], 'central_character': '6012.707', 'conductor': 6012, 'conductor_radical': 1002, 'degree': 1, 'index': 0, 'instance_types': ['DIR'], 'instance_urls': ['Character/Dirichlet/6012/707'], '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': '1-6012-6012.707-r1-0-0', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'mu_real': [1], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'prelabel': '1-6012-6012.707-r1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 646.0791278652856, 'root_angle': 0.014680720395900118, 'self_dual': False, 'spectral_label': 'r1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.466185033265', 'prec': 47}}
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lfunc_instances • Show schema
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{'Lhash': 'dirichlet_L_6012.707', 'Lhash_array': ['dirichlet_L_6012.707'], 'label': '1-6012-6012.707-r1-0-0', 'type': 'DIR', 'url': 'Character/Dirichlet/6012/707'}