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lfunc_lfunctions • Show schema
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{'Lhash': '6496957343461392173542163961206', 'a10': [40.588457268119896, 0.0], 'a2': [2.732050807568877, 0.0], 'a3': [-7.928203230275509, 0.0], 'a4': [-0.5358983848622454, 0.0], 'a5': [14.856406460551018, 0.0], 'a6': [-21.660254037844386, 0.0], 'a7': [3.071796769724491, 0.0], 'a8': [-23.320508075688775, 0.0], 'a9': [35.85640646055102, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.649021010063147, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[11, [[1.0, 0], [11.0, 0]]]], 'bad_primes': [11], 'central_character': '11.1', 'coefficient_field': 'CDF', 'conductor': 11, 'conductor_radical': 11, 'conjugate': '6496957343461392173542163961206', 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.732050807568877, 0], [8.0, 0]], [[1.0, 0], [7.928203230275509, 0], [27.0, 0]], [[1.0, 0], [-14.856406460551018, 0], [125.0, 0]], [[1.0, 0], [-3.071796769724491, 0], [343.0, 0]], [[1.0, 0], [11.0, 0]], [[1.0, 0], [-5.358983848622454, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.649021010063147, 'bad_primes': [11], 'central_character': '1.1', 'conductor': 11, 'conductor_radical': 11, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/11/4/a/a/1/2'], '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': '2-11-1.1-c3-0-1', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-11-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.805618402261981, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '5.12519565114525393474177867591', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '6496957343461392173542163961206', 'Lhash_array': ['6496957343461392173542163961206'], 'label': '2-11-1.1-c3-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/11/4/a/a/1/2'}