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lfunc_lfunctions • Show schema
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{'Lhash': '1875189264830598402459926508561', 'a10': [0, 0], 'a2': [0, 0], 'a3': [1.6329688067592056, -0.5774191511817186], 'a4': [0, 0], 'a5': [-2.1529704025885805, 0.6039192376283147], 'a6': [0, 0], 'a7': [-1.6371207635558431, 0], 'a8': [0, 0], 'a9': [2.3331742476971673, -1.8858149246102487], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 11.0193554789367, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-1.6329688067592056, 0.5774191511817186]]], [5, [[1.0, 0], [2.1529704025885805, -0.6039192376283147]]], [23, [[1.0, 0], [-2.8781359911742266, 3.8361873281042405]]]], 'bad_primes': [2, 3, 5, 23], 'central_character': '1380.689', 'coefficient_field': 'CDF', 'conductor': 1380, 'conductor_radical': 690, 'conjugate': '707951273916999351958797835251', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-1.6329688067592056, 0.5774191511817186]], [[1.0, 0], [2.1529704025885805, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 11.0193554789367, 'bad_primes': [2, 3, 5, 23], 'central_character': '345.344', 'conductor': 1380, 'conductor_radical': 690, 'degree': 2, 'index': 34, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1380/2/n/a/689/41'], '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': '2-1380-345.344-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': '2-1380-345.344-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.3195414561256347, 'root_angle': 0.25482415046091467, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.47926350091498949236499440958', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1875189264830598402459926508561', 'Lhash_array': ['1875189264830598402459926508561'], 'label': '2-1380-345.344-c1-0-34', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1380/2/n/a/689/41'}