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lfunc_lfunctions • Show schema
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{'Lhash': '3058956300541125040771447867901', 'a10': [1.4926613031905795, -2.7878239244897443], 'a2': [1.3053376770599574, 0.5441447866585828], 'a3': [-1.172301943766132, -0.7833071160158006], 'a4': [1.407812902304571, 1.420585383602401], 'a5': [0.21572359175545744, -2.2256377360118886], 'a6': [-1.1040174125559878, -1.6603822823346635], 'a7': [-1.5380084278796253, -3.713080805631114], 'a8': [1.0646670931386557, 2.6203976760766077], 'a9': [-0.38732848773840894, -0.9350936881915279], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.5552128646809735, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.3053376770599574, -0.5441447866585828]]], [5, [[1.0, 0], [-0.21572359175545744, 2.2256377360118886]]]], 'bad_primes': [2, 5], 'central_character': '320.43', 'coefficient_field': 'CDF', 'conductor': 320, 'conductor_radical': 10, 'conjugate': '1379158789389687178404093583854', 'degree': 2, 'euler_factors': [[[1.0, 0], 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'z1': {'__RealLiteral__': 0, 'data': '2.41309103627638934403930247411', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.30307576084415134030722123380', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.95424987215793990041552614137', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.5552128646809735, 'bad_primes': [2, 5], 'central_character': '320.43', 'conductor': 320, 'conductor_radical': 10, 'degree': 2, 'index': 39, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/320/2/bd/a/43/40'], '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': '2-320-320.43-c1-0-39', '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': '2-320-320.43-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.598503320197044, 'root_angle': 0.1525135322917193, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.41309103627638934403930247411', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3058956300541125040771447867901', 'Lhash_array': ['3058956300541125040771447867901'], 'label': '2-320-320.43-c1-0-39', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/320/2/bd/a/43/40'}