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lfunc_lfunctions • Show schema
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{'Lhash': '599110486588780007303418348461', 'a10': [-0.2646994256147294, 0.0], 'a2': [-1.0, 0.0], 'a3': [1.991186537005052, 0.0], 'a4': [1.0, 0.0], 'a5': [0.2646994256147294, 0.0], 'a6': [-1.991186537005052, 0.0], 'a7': [-4.956976483719062, 0.0], 'a8': [-1.0, 0.0], 'a9': [0.9648238251501716, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.022031775598045, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.0, 0]]], [31, [[1.0, 0], [1.0, 0]]], [97, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 31, 97], 'central_character': '6014.1', 'coefficient_field': 'CDF', 'conductor': 6014, 'conductor_radical': 6014, 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0, 0]], [[1.0, 0], [-1.991186537005052, 0], [3.0, 0]], [[1.0, 0], [-0.2646994256147294, 0], [5.0, 0]], [[1.0, 0], [4.956976483719062, 0], [7.0, 0]], [[1.0, 0], [3.8786467381997425, 0], [11.0, 0]], [[1.0, 0], [4.498194666589957, 0], [13.0, 0]], [[1.0, 0], 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'2.30893935444836199909779190833693', '2.53753021995245955696319206861947', '3.38050429396101702434467363386902', '4.06698009303592907415402946216174', '5.62706024269117912888856466548708', '5.83510212823039376667629172068153', '7.03338905769528167848577524483970', '7.59590355708722500844601211760398', '7.922020329192402595548798348689577'], 'prelabel': '2-6014-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.92979305431252, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.47261484077782584968936667121', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.30893935444836199909779190834', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.53753021995245955696319206862', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.022031775598045, 'bad_primes': [2, 31, 97], 'central_character': '1.1', 'conductor': 6014, 'conductor_radical': 6014, 'degree': 2, 'index': 34, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6014/2/a/j/1/26'], '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': '2-6014-1.1-c1-0-34', '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': '2-6014-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.92979305431252, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.47261484077782584968936667121', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '599110486588780007303418348461', 'Lhash_array': ['599110486588780007303418348461'], 'label': '2-6014-1.1-c1-0-34', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6014/2/a/j/1/26'}