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lfunc_lfunctions • Show schema
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{'Lhash': '2667487552052843066865513196387', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.7695511171842123, -2.8720038683528712], 'a4': [0.0, 0.0], 'a5': [2.175915712751253, -0.5151609564031483], 'a6': [0.0, 0.0], 'a7': [0.0, 0.0], 'a8': [0.0, 0.0], 'a9': [-5.058121086521071, -2.9203075708966626], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 7.8253393980854815, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-2.175915712751253, 0.5151609564031483]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5, 7], 'central_character': '980.117', 'coefficient_field': 'CDF', 'conductor': 980, 'conductor_radical': 70, 'conjugate': '1038372707298012497267338085943', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.7695511171842123, 2.8720038683528712], [-2.598076211353316, -1.5]], [[1.0, 0], [-2.175915712751253, 0.5151609564031483]], [[1.0, 0], [0, 0]], [[1.0, 0], [1.4877006656390224, 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'10.07410808994396151498059095462856'], 'prelabel': '2-980-35.12-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.797380810344827, 'root_angle': 0.7802934237169609, 'root_number': '-0.7711005040973481 + 0.6367134462070168*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.390146711858', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.10427664497818662934301537770', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.10916555492910608965744142449', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.15891036468382392056398437122', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.8253393980854815, 'bad_primes': [2, 5, 7], 'central_character': '35.12', 'conductor': 980, 'conductor_radical': 70, 'degree': 2, 'index': 18, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/980/2/v/c/117/12'], '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': '2-980-35.12-c1-0-18', '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': '2-980-35.12-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.797380810344827, 'root_angle': 0.39014671185848043, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.10427664497818662934301537770', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2667487552052843066865513196387', 'Lhash_array': ['2667487552052843066865513196387'], 'label': '2-980-35.12-c1-0-18', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/980/2/v/c/117/12'}