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lfunc_lfunctions • Show schema
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{'Lhash': '1608477001924710041064116022950', 'a10': [0.0, 0.0], 'a2': [-2.0, 0.0], 'a3': [-0.334433479917774, 0.0], 'a4': [4.0, 0.0], 'a5': [0.0, 0.0], 'a6': [0.668866959835548, 0.0], 'a7': [14.73426047942955, 0.0], 'a8': [-8.0, 0.0], 'a9': [-26.888154247510087, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 67.85219650660174, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [2.0, 0]]], [5, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [-23.0, 0]]]], 'bad_primes': [2, 5, 23], 'central_character': '1150.1', 'coefficient_field': 'CDF', 'conductor': 1150, 'conductor_radical': 230, 'degree': 2, 'euler_factors': [[[1.0, 0], [2.0, 0]], [[1.0, 0], [0.334433479917774, 0], [27.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-14.73426047942955, 0], [343.0, 0]], [[1.0, 0], [6.748401682876025, 0], [1331.0, 0]], [[1.0, 0], [79.26960015938887, 0], [2197.0, 0]], [[1.0, 0], [-102.56088184616407, 0], [4913.0, 0]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 67.85219650660174, 'bad_primes': [2, 5, 23], 'central_character': '1.1', 'conductor': 1150, 'conductor_radical': 230, 'degree': 2, 'index': 64, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1150/4/a/r/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': '2-1150-1.1-c3-0-64', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 1, 'prelabel': '2-1150-1.1-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.237244472917006, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '1.26886462376550591101505029746', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1608477001924710041064116022950', 'Lhash_array': ['1608477001924710041064116022950'], 'label': '2-1150-1.1-c3-0-64', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1150/4/a/r/1/3'}