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lfunc_lfunctions • Show schema
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{'Lhash': '2826889886107150005984031091065', 'a10': [-29.614110717459496, -11.090736964424442], 'a2': [-1.4388537511922137, -2.435097509891564], 'a3': [5.17581874180697, -0.4592388833273101], 'a4': [-3.85939976536019, 7.007498373252591], 'a5': [8.702175032371303, -7.019412347623804], 'a6': [-8.565537673375639, -11.942845739855416], 'a7': [7.717431871822024, 0.0], 'a8': [22.617053669015426, -0.6847505625231411], 'a9': [26.57819929608057, -4.753874438583992], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.5401146003444386, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.4388537511922137, 2.435097509891564]]], [3, [[1.0, 0], [-5.17581874180697, 0.4592388833273101]]], [5, [[1.0, 0], [-8.702175032371303, 7.019412347623804]]]], 'bad_primes': [2, 3, 5], 'central_character': '60.59', 'coefficient_field': 'CDF', 'conductor': 60, 'conductor_radical': 30, 'conjugate': '2001411962389156868539820173475', 'degree': 2, 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'spectral_label': 'c3-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.23002291451460931812001514529', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.72044870900598101873304653049', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '6.51060595470853075658628760892', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.5401146003444386, 'bad_primes': [2, 3, 5], 'central_character': '60.59', 'conductor': 60, 'conductor_radical': 30, 'degree': 2, 'index': 18, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/60/4/h/c/59/10'], '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': '2-60-60.59-c3-0-18', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-60-60.59-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8815192266741358, 'root_angle': 0.20800793053399666, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '2.23002291451460931812001514529', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2826889886107150005984031091065', 'Lhash_array': ['2826889886107150005984031091065'], 'label': '2-60-60.59-c3-0-18', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/60/4/h/c/59/10'}