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lfunc_lfunctions • Show schema
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{'Lhash': '2032163612184057896894791982651', 'a10': [-2.957899564729174, -0.9809014927959564], 'a2': [-1.209619840383841, -0.732679904016598], 'a3': [-0.2225209339563144, -0.9749279121818236], 'a4': [0.9263603165004576, 1.7725282970980103], 'a5': [2.1483104054753075, -0.490337831014196], 'a6': [-0.4451443525061805, 1.3423287620519249], 'a7': [1.6704263641447932, -2.0517494393736304], 'a8': [0.178152044401266, -2.822810983589877], 'a9': [-0.9009688679024191, 0.4338837391175581], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.6952036388512886, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.209619840383841, 0.732679904016598]]], [3, [[1.0, 0], [0.2225209339563144, 0.9749279121818236]]], [7, [[1.0, 0], [-1.6704263641447932, 2.0517494393736304]]]], 'bad_primes': [2, 3, 7], 'central_character': '588.559', 'coefficient_field': 'CDF', 'conductor': 588, 'conductor_radical': 42, 'conjugate': 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'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.60309442666471708793764072970', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.82855273885719982532533678914', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.89026972239654710019986461885', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.6952036388512886, 'bad_primes': [2, 3, 7], 'central_character': '196.167', 'conductor': 588, 'conductor_radical': 42, 'degree': 2, 'index': 35, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/588/2/x/a/559/5'], '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': '2-588-196.167-c1-0-35', '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': '2-588-196.167-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.166841858293145, 'root_angle': 0.2735109087962063, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.60309442666471708793764072970', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2032163612184057896894791982651', 'Lhash_array': ['2032163612184057896894791982651'], 'label': '2-588-196.167-c1-0-35', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/588/2/x/a/559/5'}