Formats: - HTML - YAML - JSON - 2026-08-14T21:13:21.695385
  • lfunc_lfunctions • Show schema
    {'Lhash': '986553638527126533621239150074', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.9975640502598242, -0.0697564737441253], 'a4': [-0.7193398003386512, 0.6946583704589973], 'a5': [-0.21381698650006872, -0.27367326269150344], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [0.9902680687415704, 0.13917310096006544], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.630445396272019, 'analytic_normalization': 0, 'bad_lfactors': [[3, [[1.0, 0], [0.9975640502598242, 0.0697564737441253]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 11], 'central_character': '3267.2290', 'coefficient_field': 'CDF', 'conductor': 3267, 'conductor_radical': 33, 'conjugate': '932721564025289121167602328912', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0], [0.7193398003386512, -0.6946583704589973]], [[1.0, 0], [0.9975640502598242, 0.0697564737441253]], [[1.0, 0], [0.21381698650006872, 0.27367326269150344], [-0.24192189559966773, 0.9702957262759965]], [[1.0, 0], [0, 0], 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'6.50502151084413194993483755141227', '7.10869441303675363276423080176890', '8.061074237641672842766911901798355', '9.018945306597615350117114849851764'], 'prelabel': '2-3267-297.211-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.27688895220846, 'root_angle': -0.022097684745208034, 'root_number': '0.99037666740745843736217512771860 - 0.13839818154476037971068131595852*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.022097684745208034', 'prec': 57}, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.77825359633759190514835373397', 'prec': 97}, 'z2': {'__RealLiteral__': 0, 'data': '1.99505196803293913037905705067', 'prec': 100}, 'z3': {'__RealLiteral__': 0, 'data': '3.54448972894009661293961525664', 'prec': 100}}
  • lfunc_search • Show schema
    {'algebraic': True, 'analytic_conductor': 1.630445396272019, 'bad_primes': [3, 11], 'central_character': '297.211', 'conductor': 3267, 'conductor_radical': 33, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3267/1/bf/a/2290/1'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': True, 'is_instance_DIR': False, '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': '2-3267-297.211-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-3267-297.211-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.27688895220846, 'root_angle': -0.022097684745208034, 'self_dual': False, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.77825359633759190514835373397', 'prec': 97}}
  • lfunc_instances • Show schema
    {'Lhash': '986553638527126533621239150074', 'Lhash_array': ['986553638527126533621239150074'], 'factors': ['2-3267-297.211-c0-0-0'], 'label': '2-3267-297.211-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3267/1/bf/a/2290/1'}