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lfunc_lfunctions • Show schema
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{'Lhash': '1397258616708113497211176402388', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [2.9032119259115534, 0.0], 'a4': [0.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-3.525427560843517, 0.0], 'a8': [0.0, 0.0], 'a9': [5.4286394867550705, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 25.552128646809734, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5], 'central_character': '3200.1', 'coefficient_field': 'CDF', 'conductor': 3200, 'conductor_radical': 10, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-2.9032119259115534, 0], [3.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [3.525427560843517, 0], [7.0, 0]], [[1.0, 0], [-3.8064238518231064, 0], [11.0, 0]], [[1.0, 0], [-2.6222156349319636, 0], [13.0, 0]], [[1.0, 0], [-5.806423851823107, 0], [17.0, 0]], [[1.0, 0], [5.050855121687034, 0], [19.0, 0]], [[1.0, 0], [0.4745724391564829, 0], 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'5.94878579842365968820477616612726', '6.43118157873599571573687003388044', '7.35757565867414757516501283713162', '7.985965752575430432024303389683045', '8.893714395259092785365948333816624'], 'prelabel': '2-3200-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.054911339164094, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.10224269720422118375847820065', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.27229583425703584225485956923', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.18477104255624701687650277508', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 25.552128646809734, 'bad_primes': [2, 5], 'central_character': '1.1', 'conductor': 3200, 'conductor_radical': 10, 'degree': 2, 'index': 35, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3200/2/a/bs/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': '2-3200-1.1-c1-0-35', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-3200-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.054911339164094, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.10224269720422118375847820065', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1397258616708113497211176402388', 'Lhash_array': ['1397258616708113497211176402388'], 'label': '2-3200-1.1-c1-0-35', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3200/2/a/bs/1/3'}