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lfunc_lfunctions • Show schema
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{'Lhash': '2639253232555971924859137229244', 'a10': [139065120442067800000000000, 0.0], 'a2': [25842009.533967733, 0.0], 'a3': [-2979065672535.45, 0.0], 'a4': [-8339389797987313.0, 0.0], 'a5': [5381358607552375000, 0.0], 'a6': [-76985043511977100000, 0.0], 'a7': [23343594865111025000000, 0.0], 'a8': [-448270719682425200000000, 0.0], 'a9': [-10508413386400926000000000, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 17.790310760757396, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '26.5', 'prec': 14}, 'bad_lfactors': [], 'bad_primes': [], 'central_character': '1.1', 'coefficient_field': 'CDF', 'conductor': 1, 'conductor_radical': 1, 'conjugate': '2639253232555971924859137229244', 'degree': 2, 'euler_factors': [[[1.0, 0], [-25842009.533967733, 0], [9007199254740992.0, 0]], [[1.0, 0], [2979065672535.45, 0], [19383245667680020000000000, 0]], [[1.0, 0], [-5381358607552375000, 0], [11102230246251565000000000000000000000, 0]], [[1.0, 0], [-23343594865111025000000, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 17.790310760757396, 'bad_primes': [], 'central_character': '1.1', 'conductor': 1, 'conductor_radical': 1, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1/54/a/a/1/3'], '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': '2-1-1.1-c53-0-1', 'motivic_weight': 53, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [53], 'order_of_vanishing': 1, 'prelabel': '2-1-1.1-c53-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.217856180663039, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c53-0', 'z1': {'__RealLiteral__': 0, 'data': '2.08200369414158559766490705768', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2639253232555971924859137229244', 'Lhash_array': ['2639253232555971924859137229244'], 'label': '2-1-1.1-c53-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1/54/a/a/1/3'}