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lfunc_lfunctions • Show schema
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{'Lhash': '/ModularForm/GSp4/Q/Maass/1/1/12.46875_4.720951/1.34260324/', 'a10': [-0.00218567, 0.0], 'a2': [1.34260324196, 0.0], 'a3': [-0.18745190882, 0.0], 'a4': [0.4644565333, 0.0], 'a5': [-0.0016279353, 0.0], 'a6': [-0.2516735404, 0.0], 'a7': [0.228229576, 0.0], 'a8': [0.169610532, 0.0], 'a9': [-0.463428836, 0.0], 'algebraic': False, 'analytic_conductor': 2.2136785807515755, 'analytic_normalization': 0, 'bad_lfactors': [], 'bad_primes': [], 'central_character': '1.1', 'conductor': 1, 'conductor_radical': 1, 'credit': 'Stefan Lemurell', 'degree': 4, 'dirichlet_coefficients': ['1.0', '1.34260324196', '-0.18745190882', '0.4644565333', '-0.0016279353', '-0.2516735404', '0.228229576', '0.169610532', '-0.463428836', '-0.00218567', '0.69583428', '-0.0870632', '-0.8824352', '0.3064217', '0.000305', '0.408801', '0.716428', '-0.6222', '-0.92745', '-0.0007', '-0.0427', '0.9342', '0.42', '-0.031', '0.227', '-1.18', '0.0', '0.1'], 'euler_factors': [[1, '-1.34260324196', '1.3381269320215023', '-1.34260324196', 1], [1, '0.18745190882', '0.4985670541202616 - 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lfunc_search • Show schema
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{'algebraic': False, 'analytic_conductor': 2.2136785807515755, 'bad_primes': [], 'central_character': '1.1', 'conductor': 1, 'conductor_radical': 1, 'degree': 4, 'index': 0, 'instance_types': ['MaassGSp4'], 'instance_urls': ['ModularForm/GSp4/Q/Maass/1/1/12.46875_4.720951/1.34260324/'], 'is_instance_Artin': False, 'is_instance_BMF': False, 'is_instance_CMF': False, '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': True, 'is_instance_NF': False, 'label': '4-1-1.1-r0e4-c4.72c12.47-0', 'motivic_weight': 0, 'mu_imag': [{'__RealLiteral__': 0, 'data': '-4.72095103638', 'prec': 47}, {'__RealLiteral__': 0, 'data': '4.72095103638', 'prec': 44}, {'__RealLiteral__': 0, 'data': '-12.46875226152', 'prec': 50}, {'__RealLiteral__': 0, 'data': '12.46875226152', 'prec': 47}], 'mu_real': [0, 0, 0, 0], 'nu_imag': [], 'nu_real_doubled': [], 'order_of_vanishing': 0, 'prelabel': '4-1-1.1-r0e4-c4.72c12.47', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2197719462687275, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'r0e4-c4.72c12.47', 'z1': {'__RealLiteral__': 0, 'data': '14.49606151', 'prec': 37}}
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lfunc_instances • Show schema
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{'Lhash': '/ModularForm/GSp4/Q/Maass/1/1/12.46875_4.720951/1.34260324/', 'Lhash_array': ['/ModularForm/GSp4/Q/Maass/1/1/12.46875_4.720951/1.34260324/'], 'label': '4-1-1.1-r0e4-c4.72c12.47-0', 'type': 'MaassGSp4', 'url': 'ModularForm/GSp4/Q/Maass/1/1/12.46875_4.720951/1.34260324/'}