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lfunc_lfunctions • Show schema
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{'Lhash': '1363016185498163546567196136436', 'a10': [0.0, 0.0], 'a2': [-0.5752124769519015, 1.2919483760425021], 'a3': [-0.6841160678034087, 1.5912212937782104], 'a4': [-1.3382612127177165, -1.4862896509547885], 'a5': [0.0, 0.0], 'a6': [-1.6622636685372143, -1.7991329845959698], 'a7': [0.0, 0.0], 'a8': [2.6899940478558295, -0.8740320488976422], 'a9': [-2.063970411546404, -2.1771601090092036], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 6.32415184008541, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.5752124769519015, -1.2919483760425021]]], [3, [[1.0, 0], [0.6841160678034087, -1.5912212937782104]]], [11, [[1.0, 0], [-0.4179460408030724, 3.290185573334282]]]], 'bad_primes': [2, 3, 11], 'central_character': '792.283', 'coefficient_field': 'CDF', 'conductor': 792, 'conductor_radical': 66, 'conjugate': '976268578097116654798997488479', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.5752124769519015, 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'7.04750399602827119370532333263335', '7.51471433608222741424562502251876', '8.488858294152557883821942792740580', '9.450081819212734815140094056241762', '10.16636307688792291220237069982252'], 'prelabel': '2-792-792.283-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.514786639078037, 'root_angle': -0.3123099852529731, 'root_number': '0.556066478900111 - 0.831137817117975*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.156154992626', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.07523018192297183914536463563', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.17123180180126737620328300496', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.34332836937959616471256074738', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 6.32415184008541, 'bad_primes': [2, 3, 11], 'central_character': '792.283', 'conductor': 792, 'conductor_radical': 66, 'degree': 2, 'index': 54, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/792/2/ce/a/283/1'], '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': '2-792-792.283-c1-0-54', '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': '2-792-792.283-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.514786639078037, 'root_angle': -0.15615499262648655, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.07523018192297183914536463563', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1363016185498163546567196136436', 'Lhash_array': ['1363016185498163546567196136436'], 'label': '2-792-792.283-c1-0-54', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/792/2/ce/a/283/1'}