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lfunc_lfunctions • Show schema
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{'Lhash': '1105100776276018748536691327095', 'a10': [-1.3876400151761483, 0.39157115853869295], 'a2': [-0.6448058287449634, 0.0], 'a3': [-0.5369655417713818, -1.6467143064144936], 'a4': [-1.5842254432165208, 0.0], 'a5': [2.1520277164321264, -0.6072698804550803], 'a6': [0.3462385111693841, 1.0618109830537852], 'a7': [0.0, 0.0], 'a8': [2.3111294573220125, 0.0], 'a9': [-2.423336013900333, 1.7684576793730873], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.869004548564111, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0.5369655417713818, 1.6467143064144936]]], [5, [[1.0, 0], [-2.1520277164321264, 0.6072698804550803]]], [7, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 5, 7], 'central_character': '735.734', 'coefficient_field': 'CDF', 'conductor': 735, 'conductor_radical': 105, 'conjugate': '1478040739324468173573213061691', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.6448058287449634, 0], [2.0, 0]], [[1.0, 0], 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'data': '3.97235272950174286243411118995', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.869004548564111, 'bad_primes': [3, 5, 7], 'central_character': '105.104', 'conductor': 735, 'conductor_radical': 105, 'degree': 2, 'index': 25, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/735/2/g/b/734/9'], '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': '2-735-105.104-c1-0-25', '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': '2-735-105.104-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.422602845817719, 'root_angle': 0.04246685968472351, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.871770798733542997494287384935', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1105100776276018748536691327095', 'Lhash_array': ['1105100776276018748536691327095'], 'factors': ['2-735-105.104-c1-0-25'], 'label': '2-735-105.104-c1-0-25', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/735/2/g/b/734/9'}