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lfunc_lfunctions • Show schema
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{'Lhash': '545923420471351066887771694820', 'a10': [-12.881368753006376, 4.155096447287115], 'a2': [0.613980960822581, 1.9034251705142968], 'a3': [0.0, -1.7320508075688772], 'a4': [-3.2460547594947604, 2.3373336300925063], 'a5': [0.0, 6.767467906041133], 'a6': [3.296829103736216, -1.0634462190246667], 'a7': [0.0, 3.0129107917225744], 'a8': [-6.441955483524935, -4.743543986122931], 'a9': [-3.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.193478979111839, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.613980960822581, -1.9034251705142968]]], [3, [[1.0, 0], [0, 1.7320508075688772]]], [11, [[1.0, 0], [7.8322088458726675, 7.7237623341629265]]]], 'bad_primes': [2, 3, 11], 'central_character': '264.109', 'coefficient_field': 'CDF', 'conductor': 264, 'conductor_radical': 66, 'conjugate': '3256076915925145734392103532527', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.613980960822581, -1.9034251705142968]], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.193478979111839, 'bad_primes': [2, 3, 11], 'central_character': '88.21', 'conductor': 264, 'conductor_radical': 66, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/264/3/e/a/109/30'], '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': '2-264-88.21-c2-0-5', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-264-88.21-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.682066177243179, 'root_angle': 0.4749075214084373, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '0.43065764365438104997272262936', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '545923420471351066887771694820', 'Lhash_array': ['545923420471351066887771694820'], 'label': '2-264-88.21-c2-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/264/3/e/a/109/30'}