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lfunc_lfunctions • Show schema
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{'Lhash': '2656489086390196144363825503318', 'a10': [0.5608304440771977, 4.82624390400352], 'a2': [-1.4047608102968503, 0.16323929016672672], 'a3': [-1.7208651463161169, 0.19652772881812272], 'a4': [1.9467058682917264, -0.4586243150537874], 'a5': [0.0, -3.435633930436635], 'a6': [2.385322870400287, -0.556987256537649], 'a7': [0.0, -4.573740690252248], 'a8': [-2.6597906053085376, 0.9620363485401392], 'a9': [2.922753703611181, -0.6763954376155458], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 3.5453578497448506, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.4047608102968503, -0.16323929016672672]]], [3, [[1.0, 0], [1.7208651463161169, -0.19652772881812272]]], [37, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 3, 37], 'central_character': '444.371', 'coefficient_field': 'CDF', 'conductor': 444, 'conductor_radical': 222, 'conjugate': '570500718387365843570089779703', 'degree': 2, 'euler_factors': [[[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 3.5453578497448506, 'bad_primes': [2, 3, 37], 'central_character': '12.11', 'conductor': 444, 'conductor_radical': 222, 'degree': 2, 'index': 52, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/444/2/c/c/371/2'], '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': '2-444-12.11-c1-0-52', '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': '2-444-12.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.8829120663867578, 'root_angle': 0.44507862518118557, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.09560038539950876261000866021', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2656489086390196144363825503318', 'Lhash_array': ['2656489086390196144363825503318'], 'label': '2-444-12.11-c1-0-52', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/444/2/c/c/371/2'}