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lfunc_lfunctions • Show schema
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{'Lhash': '252778452175440244192564506264', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [-0.058633160257678785, -0.058633160257678785], 'a6': [0, 0], 'a7': [4.615547396774456, 0], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 31.389726454306206, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '1152.415', 'coefficient_field': 'CDF', 'conductor': 1152, 'conductor_radical': 6, 'conjugate': '2003893146697496704540514834741', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.058633160257678785, 0.058633160257678785], [0, 25.0]], [[1.0, 0], [-4.615547396774456, 0], [49.0, 0]], [[1.0, 0], [5.366406858644907, -5.366406858644907], [0, -121.0]], [[1.0, 0], [11.055195312775876, -11.055195312775876], [0, -169.0]], [[1.0, 0], [-12.879295832002839, 0], [289.0, 0]], 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'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.19940703860348403189164376517', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.72473336399876139875542926253', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.91783932607166444512707845554', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 31.389726454306206, 'bad_primes': [2, 3], 'central_character': '16.11', 'conductor': 1152, 'conductor_radical': 6, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1152/3/m/a/415/2'], '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': '2-1152-16.11-c2-0-3', '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': '2-1152-16.11-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.602653519030621, 'root_angle': -0.4075388272151158, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.19940703860348403189164376517', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '252778452175440244192564506264', 'Lhash_array': ['252778452175440244192564506264'], 'label': '2-1152-16.11-c2-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1152/3/m/a/415/2'}