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lfunc_lfunctions • Show schema
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{'Lhash': '1492039481577729181589846007385', 'a10': [-8.90696529670173, 0.0], 'a2': [-2.2947692819459506, 0.0], 'a3': [3.401794240115491, 0.0], 'a4': [3.265966057362733, 0.0], 'a5': [3.8814208324893897, 0.0], 'a6': [-7.806332925717696, 0.0], 'a7': [2.4935716854286207, 0.0], 'a8': [-2.905100020422225, 0.0], 'a9': [8.572204052082931, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.04598689620443, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[11, [[1.0, 0], [1.0, 0]]], [547, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [11, 547], 'central_character': '6017.1', 'coefficient_field': 'CDF', 'conductor': 6017, 'conductor_radical': 6017, 'degree': 2, 'euler_factors': [[[1.0, 0], [2.2947692819459506, 0], [2.0, 0]], [[1.0, 0], [-3.401794240115491, 0], [3.0, 0]], [[1.0, 0], [-3.8814208324893897, 0], [5.0, 0]], [[1.0, 0], [-2.4935716854286207, 0], [7.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [3.8389376315640824, 0], [13.0, 0]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.04598689620443, 'bad_primes': [11, 547], 'central_character': '1.1', 'conductor': 6017, 'conductor_radical': 6017, 'degree': 2, 'index': 290, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6017/2/a/f/1/15'], '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': '2-6017-1.1-c1-0-290', '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': '2-6017-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.931521254111859, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.17701161606289660960294870952', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1492039481577729181589846007385', 'Lhash_array': ['1492039481577729181589846007385'], 'label': '2-6017-1.1-c1-0-290', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6017/2/a/f/1/15'}