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lfunc_lfunctions • Show schema
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{'Lhash': '272805365997804886353079398835', 'a10': [0.18546303672448558, -0.11918985640996396], 'a2': [-0.14231483827328514, 0.9898214418809327], 'a3': [0.0, 0.0], 'a4': [-0.9594929736144974, -0.28173255684142967], 'a5': [-0.14437081760640938, -0.1666128052874466], 'a6': [0.0, 0.0], 'a7': [-2.905110993176215, -1.8670014696570874], 'a8': [0.41541501300188644, -0.9096319953545183], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.3058066436810094, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.14231483827328514, -0.9898214418809327]]], [3, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [1.4808329765167967, -4.561483716474323]]]], 'bad_primes': [2, 3, 23], 'central_character': '414.307', 'coefficient_field': 'CDF', 'conductor': 414, 'conductor_radical': 138, 'conjugate': '2899778969671425668337287274764', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.14231483827328514, -0.9898214418809327]], [[1.0, 0], [0, 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'data': '0.475924549216', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.21520548797017779712709461002', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.56123024821089362607819700992', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.26963925227228004639446708470', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.3058066436810094, 'bad_primes': [2, 3, 23], 'central_character': '23.8', 'conductor': 414, 'conductor_radical': 138, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/414/2/i/g/307/2'], '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': '2-414-23.8-c1-0-0', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-414-23.8-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8181877360935557, 'root_angle': 0.47592454921601535, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.21520548797017779712709461002', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '272805365997804886353079398835', 'Lhash_array': ['272805365997804886353079398835'], 'label': '2-414-23.8-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/414/2/i/g/307/2'}