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lfunc_lfunctions • Show schema
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{'Lhash': '1109079069005306179510398147483', 'a10': [-1.1385477169812965, -0.3343077731802022], 'a2': [-0.4608281674185715, 0.5318240555955169], 'a3': [0.0, 0.0], 'a4': [0.2141554503228658, 1.4894838739034764], 'a5': [0.7004893866492367, 1.53385780137781], 'a6': [0.0, 0.0], 'a7': [-3.1174668867821707, 0.9153708688173371], 'a8': [-2.07481929758739, -1.3334053972352224], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.6529033218405047, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [-0.7792947609461249, -4.73209252609899]]]], 'bad_primes': [3, 23], 'central_character': '207.154', 'coefficient_field': 'CDF', 'conductor': 207, 'conductor_radical': 69, 'conjugate': '3433468752488270771228827238938', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.4608281674185715, -0.5318240555955169], [-0.2846296765465703, -1.9796428837618654]], [[1.0, 0], [0, 0]], [[1.0, 0], 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'-0.342284478128', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.874909118337202849955886946712', 'prec': 107}, 'z2': {'__RealLiteral__': 0, 'data': '2.78018530873677045664223260998', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.52186597454481691393435043054', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.6529033218405047, 'bad_primes': [3, 23], 'central_character': '23.16', 'conductor': 207, 'conductor_radical': 69, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/207/2/i/d/154/1'], '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': '2-207-23.16-c1-0-0', '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': '2-207-23.16-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2856528776619702, 'root_angle': -0.3422844781283731, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.874909118337202849955886946712', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1109079069005306179510398147483', 'Lhash_array': ['1109079069005306179510398147483'], 'label': '2-207-23.16-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/207/2/i/d/154/1'}