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lfunc_lfunctions • Show schema
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{'Lhash': '1066743746498252979814485343583', 'a10': [0.0, 0.0], 'a2': [-1.3572820828238927, 0.3972220382169597], 'a3': [-0.9638325234551441, 0.5564689668705438], 'a4': [1.6844293047095285, -1.0782847107493339], 'a5': [0.0, 0.0], 'a6': [1.0871508777038033, -1.1381408778475595], 'a7': [-1.2643345766155172, -2.3241037150640373], 'a8': [-1.8579272644837148, 2.1326289597321098], 'a9': [-0.8806845778200594, 1.5253904342266895], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.589528141489629, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.3572820828238927, -0.3972220382169597]]], [5, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [1.2643345766155172, 2.3241037150640373]]]], 'bad_primes': [2, 5, 7], 'central_character': '700.299', 'coefficient_field': 'CDF', 'conductor': 700, 'conductor_radical': 70, 'conjugate': '1049543283824584070465001628707', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.3572820828238927, 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'7.00081624047844218620725311073713', '7.73209556681732135498750851091852', '9.090165349778191278521531149407361', '9.339305126080584329208349244798257', '10.24384287409908107058872130376303'], 'prelabel': '2-700-140.19-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.364218293958836, 'root_angle': -0.11374819225278252, 'root_number': '0.9368268934389142 - 0.3497933271656183*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.0568740961264', 'prec': 54}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.841512437501465387900651832934', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.46574093921170156866908309091', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.44046652699902239470526708507', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.589528141489629, 'bad_primes': [2, 5, 7], 'central_character': '140.19', 'conductor': 700, 'conductor_radical': 70, 'degree': 2, 'index': 26, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/700/2/t/d/299/2'], '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': '2-700-140.19-c1-0-26', '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': '2-700-140.19-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.364218293958836, 'root_angle': -0.05687409612639126, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.841512437501465387900651832934', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1066743746498252979814485343583', 'Lhash_array': ['1066743746498252979814485343583'], 'label': '2-700-140.19-c1-0-26', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/700/2/t/d/299/2'}