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lfunc_lfunctions • Show schema
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{'Lhash': '3779942464048422199601239686821', 'a10': [0.0, 0.0], 'a2': [0.6420395219202062, -1.260073510670101], 'a3': [0.711696972738058, -4.493477839614556], 'a4': [-1.1755705045849463, -1.618033988749895], 'a5': [0.0, 0.0], 'a6': [-5.205174812352614, -3.7817808668764985], 'a7': [-3.586904878221803, -3.586904878221803], 'a8': [-2.793604493334841, 0.4424634841649486], 'a9': [-11.125321867446202, -3.61483620166393], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.812006609007423, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.6420395219202062, 1.260073510670101]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 5], 'central_character': '250.107', 'coefficient_field': 'CDF', 'conductor': 250, 'conductor_radical': 10, 'conjugate': '909286219254946916708203408279', 'degree': 2, 'euler_factors': [[[1.0, 0], [-0.6420395219202062, 1.260073510670101]], [[1.0, 0], [-0.711696972738058, 4.493477839614556], 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'data': '2.98184883387258020853132426378', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.01655864577211791286373548407', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '5.06616259781933635432708366723', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.812006609007423, 'bad_primes': [2, 5], 'central_character': '25.17', 'conductor': 250, 'conductor_radical': 10, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/250/3/f/b/107/2'], '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': '2-250-25.17-c2-0-14', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-250-25.17-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.6099821089439335, 'root_angle': -0.4661087261051396, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '2.98184883387258020853132426378', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3779942464048422199601239686821', 'Lhash_array': ['3779942464048422199601239686821'], 'label': '2-250-25.17-c2-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/250/3/f/b/107/2'}