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lfunc_lfunctions • Show schema
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{'Lhash': '967102205240371711079325662473', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-0.9510565162951535, -0.30901699437494745], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [0, 1.7403674967716287], 'a8': [0, 0], 'a9': [0.8090169943749475, 0.5877852522924731], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 11.977560303192064, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0.9510565162951535, 0.30901699437494745]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5], 'central_character': '1500.949', 'coefficient_field': 'CDF', 'conductor': 1500, 'conductor_radical': 30, 'conjugate': '1248256431635698750409303001204', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.9510565162951535, 0.30901699437494745]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -1.7403674967716287], [-7.0, 0]], [[1.0, 0], [1.8771405167029351, -1.3638224164266397], [3.3991869381244215, -10.46162167924669]], [[1.0, 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'data': '2.15449131167541835113470784902', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.75883561293369193362780585609', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 11.977560303192064, 'bad_primes': [2, 3, 5], 'central_character': '25.14', 'conductor': 1500, 'conductor_radical': 30, 'degree': 2, 'index': 6, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1500/2/o/b/949/2'], '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': '2-1500-25.14-c1-0-6', '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': '2-1500-25.14-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.4608612083110275, 'root_angle': -0.061098466230603395, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.76290912106715637493627398307', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '967102205240371711079325662473', 'Lhash_array': ['967102205240371711079325662473'], 'label': '2-1500-25.14-c1-0-6', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1500/2/o/b/949/2'}