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lfunc_lfunctions • Show schema
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{'Lhash': '1372626110444307426406107401826', 'a10': [0.0, 0.0], 'a2': [0.0, 1.4142135623730951], 'a3': [-2.9712669225006008, 0.0], 'a4': [-2.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, -4.2020059792309175], 'a7': [-5.432745035961234, 4.414213562373095], 'a8': [0.0, -2.8284271247461903], 'a9': [-0.1715728752538099, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 9.536809252610393, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, -1.4142135623730951]]], [5, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [5.432745035961234, -4.414213562373095]]]], 'bad_primes': [2, 5, 7], 'central_character': '350.349', 'coefficient_field': 'CDF', 'conductor': 350, 'conductor_radical': 70, 'conjugate': '523795912700071878341003033199', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -1.4142135623730951]], [[1.0, 0], [2.9712669225006008, 0], [9.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [5.432745035961234, -4.414213562373095]], [[1.0, 0], 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'4.21421098803094297114030648173', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 9.536809252610393, 'bad_primes': [2, 5, 7], 'central_character': '35.34', 'conductor': 350, 'conductor_radical': 70, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/350/3/d/a/349/5'], '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': '2-350-35.34-c2-0-10', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-350-35.34-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.088172477794981, 'root_angle': 0.06761222904549632, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '1.08281107601509288331751789794', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1372626110444307426406107401826', 'Lhash_array': ['1372626110444307426406107401826'], 'label': '2-350-35.34-c2-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/350/3/d/a/349/5'}