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lfunc_lfunctions • Show schema
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{'Lhash': '640785179698942520815157880927', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.7653668647301796, 0.0], 'a4': [0.0, 0.0], 'a5': [-1.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-1.8477590650225735, 0.0], 'a8': [0.0, 0.0], 'a9': [-0.41421356237309503, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.4772324373936871, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.0, 0]]], [37, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 37], 'central_character': '2960.2959', 'coefficient_field': 'CDF', 'conductor': 2960, 'conductor_radical': 370, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.7653668647301796, 0], [1.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [1.8477590650225735, 0], [1.0, 0]], [[1.0, 0], [0, 0], [-1.0, 0]], [[1.0, 0], [1.4142135623730951, 0], [1.0, 0]], [[1.0, 0], [-1.4142135623730951, 0], [1.0, 0]], [[1.0, 0], [0.7653668647301796, 0], [1.0, 0]], [[1.0, 0], [0, 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'9.151901594014824773834083681262802'], 'prelabel': '2-2960-740.739-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2154145125814844, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c0-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.50549037690951651395956898947', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.60076582922549783578647103272', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.33737701116877980251195144040', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.4772324373936871, 'bad_primes': [2, 5, 37], 'central_character': '740.739', 'conductor': 2960, 'conductor_radical': 370, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2960/1/o/a/2959/2'], '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': '2-2960-740.739-c0-0-0', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0], 'order_of_vanishing': 0, 'prelabel': '2-2960-740.739-c0-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2154145125814844, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0-0', 'z1': {'__RealLiteral__': 0, 'data': '0.50549037690951651395956898947', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '640785179698942520815157880927', 'Lhash_array': ['640785179698942520815157880927'], 'label': '2-2960-740.739-c0-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2960/1/o/a/2959/2'}