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lfunc_lfunctions • Show schema
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{'Lhash': '4787469395974955601457456454520', 'a10': [-1.9033119210269969, 7.845558595628189], 'a2': [0.9048295434455241, -2.6143332739788825], 'a3': [-0.4582265217274104, -0.8888354486549235], 'a4': [-4.443915775255733, -3.494733992976299], 'a5': [-2.904972699627189, 0.27739125983531443], 'a6': [-2.7383289829597586, 0.39371226956694444], 'a7': [1.8111092564774147, 1.9286998888115863], 'a8': [-8.502750305326751, 5.464385819839615], 'a9': [-0.5800569095711982, 0.8145759520503357], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.8567744176278445, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.4582265217274104, 0.8888354486549235]]], [7, [[1.0, 0], [-1.8111092564774147, -1.9286998888115863]]], [23, [[1.0, 0], [3.2400781830201684, -3.5358016584526806]]]], 'bad_primes': [3, 7, 23], 'central_character': '483.10', 'coefficient_field': 'CDF', 'conductor': 483, 'conductor_radical': 483, 'conjugate': 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'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9638672097745928, 'root_angle': -0.3552119937313514, 'root_number': '0.4393409878082835 - 0.8983203751622478*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.177605996866', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '3.77664744142669408765837099572', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.38811748369805556581530598581', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.83497018988554870194735842334', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.8567744176278445, 'bad_primes': [3, 7, 23], 'central_character': '161.10', 'conductor': 483, 'conductor_radical': 483, 'degree': 2, 'index': 31, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/483/2/bf/a/10/32'], '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': '2-483-161.10-c1-0-31', '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': '2-483-161.10-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.9638672097745928, 'root_angle': -0.1776059968656757, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '3.77664744142669408765837099572', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4787469395974955601457456454520', 'Lhash_array': ['4787469395974955601457456454520'], 'label': '2-483-161.10-c1-0-31', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/483/2/bf/a/10/32'}