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lfunc_lfunctions • Show schema
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{'Lhash': '2422649266003650366130043853912', 'a10': [-2.175334863762871, -1.0475860577953318], 'a2': [-0.3993588661097842, 1.7497055159050758], 'a3': [0.9009688679024191, -0.4338837391175581], 'a4': [-1.1000441526433165, -0.529753343480656], 'a5': [-0.29936067763192814, 1.3115848259486858], 'a6': [0.3993588661097842, 1.7497055159050758], 'a7': [1.0036742910986778, -0.48334406414276226], 'a8': [-0.8717326215348796, 1.0931181324514716], 'a9': [0.6234898018587335, -0.7818314824680298], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.6946984975851397, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-0.9009688679024191, 0.4338837391175581]]], [29, [[1.0, 0], [5.295032019768466, -0.981140107031958]]]], 'bad_primes': [3, 29], 'central_character': '87.25', 'coefficient_field': 'CDF', 'conductor': 87, 'conductor_radical': 87, 'conjugate': '3831863756060468619526555280920', 'degree': 2, 'euler_factors': [[[1.0, 0], 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{'__RealLiteral__': 0, 'data': '-0.244063116962', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.91113329301265944928779355277', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.59486991487819349566625928273', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.15520813837550531855458318983', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.6946984975851397, 'bad_primes': [3, 29], 'central_character': '29.25', 'conductor': 87, 'conductor_radical': 87, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/87/2/g/b/25/1'], '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': '2-87-29.25-c1-0-1', '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': '2-87-29.25-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.8334857512790124, 'root_angle': -0.24406311696228292, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.91113329301265944928779355277', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2422649266003650366130043853912', 'Lhash_array': ['2422649266003650366130043853912'], 'label': '2-87-29.25-c1-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/87/2/g/b/25/1'}