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lfunc_lfunctions • Show schema
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{'Lhash': '3143636490787416872238825679756', 'a10': [-5.372281323269014, 1.7320508075688772], 'a2': [-1.483768530034387, -2.0422321789034195], 'a3': [0.7535097059404434, -0.24483014476271545], 'a4': [-1.3511092330783088, 4.158286643570593], 'a5': [0.6958217696783339, -2.12504872058071], 'a6': [-1.618033988749895, -1.1755705045849463], 'a7': [-3.294556414185328, -1.0704662693192697], 'a8': [5.695344327218435, -1.8505295487416202], 'a9': [-1.919215905962921, 1.3943919761063996], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.8309493222874655, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [-0.6958217696783339, 2.12504872058071]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [5, 11], 'central_character': '605.124', 'coefficient_field': 'CDF', 'conductor': 605, 'conductor_radical': 55, 'conjugate': '43499843227162843782958089587', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.483768530034387, 2.0422321789034195], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.8309493222874655, 'bad_primes': [5, 11], 'central_character': '55.14', 'conductor': 605, 'conductor_radical': 55, 'degree': 2, 'index': 42, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/605/2/j/i/124/1'], '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': '2-605-55.14-c1-0-42', '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': '2-605-55.14-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.1979420652709356, 'root_angle': -0.1850719969131952, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.47989192780836661283370721821', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3143636490787416872238825679756', 'Lhash_array': ['3143636490787416872238825679756'], 'label': '2-605-55.14-c1-0-42', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/605/2/j/i/124/1'}