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{'__RealLiteral__': 0, 'data': '1.62842713776413164374217909733', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 7.066836367272042, 'bad_primes': [3, 11], 'central_character': '1.1', 'conductor': 113919098077521, 'conductor_radical': 33, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -16], 'euler11': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler13': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'euler17': [1, 0, -4, 0, 6, 0, -4, 0, 1], 'euler19': [1, 0, 0, 0, 2, 0, 0, 0, 1], 'euler2': [1, 0, -4, 0, 6, 0, -4, 0, 1], 'euler23': [1, 0, 4, 0, 6, 0, 4, 0, 1], 'euler29': [1, 0, -4, 0, 6, 0, -4, 0, 1], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, -2, 0, 3, 0, -2, 0, 1], 'euler37': [1, 0, 4, 0, 6, 0, 4, 0, 1], 'euler41': [1, 0, -4, 0, 6, 0, -4, 0, 1], 'euler43': [1, 0, 0, 0, 2, 0, 0, 0, 1], 'euler47': [1, 0, 4, 0, 6, 0, 4, 0, 1], 'euler5': [1, 0, 4, 0, 6, 0, 4, 0, 1], 'euler53': [1, 0, 4, 0, 6, 0, 4, 0, 1], 'euler59': [1, 0, 4, 0, 6, 0, 4, 0, 1], 'euler61': [1, 0, 0, 0, 2, 0, 0, 0, 1], 'euler67': [1, 0, -2, 0, 3, 0, -2, 0, 1], 'euler7': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'euler71': [1, 0, 4, 0, 6, 0, 4, 0, 1], 'euler73': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'euler79': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'euler83': [1, 0, -4, 0, 6, 0, -4, 0, 1], 'euler89': [1, 0, 4, 0, 6, 0, 4, 0, 1], 'euler97': [1, -4, 10, -16, 19, -16, 10, -4, 1], 'euler_factors': [[1, 0, -4, 0, 6, 0, -4, 0, 1], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 4, 0, 6, 0, 4, 0, 1], [1, 0, 0, 0, -1, 0, 0, 0, 1], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, -1, 0, 0, 0, 1], [1, 0, -4, 0, 6, 0, -4, 0, 1], [1, 0, 0, 0, 2, 0, 0, 0, 1], [1, 0, 4, 0, 6, 0, 4, 0, 1], [1, 0, -4, 0, 6, 0, -4, 0, 1], [1, 0, -2, 0, 3, 0, -2, 0, 1], [1, 0, 4, 0, 6, 0, 4, 0, 1], [1, 0, -4, 0, 6, 0, -4, 0, 1], [1, 0, 0, 0, 2, 0, 0, 0, 1], [1, 0, 4, 0, 6, 0, 4, 0, 1], [1, 0, 4, 0, 6, 0, 4, 0, 1], [1, 0, 4, 0, 6, 0, 4, 0, 1], [1, 0, 0, 0, 2, 0, 0, 0, 1], [1, 0, -2, 0, 3, 0, -2, 0, 1], [1, 0, 4, 0, 6, 0, 4, 0, 1], [1, 0, 0, 0, -1, 0, 0, 0, 1], [1, 0, 0, 0, -1, 0, 0, 0, 1], [1, 0, -4, 0, 6, 0, -4, 0, 1], [1, 0, 4, 0, 6, 0, 4, 0, 1], [1, -4, 10, -16, 19, -16, 10, -4, 1]], 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3267/1/c/a'], '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': '8-3267e4-1.1-c0e4-0-3', 'motivic_weight': 0, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [0, 0, 0, 0], 'order_of_vanishing': 0, 'prelabel': '8-3267e4-1.1-c0e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.27688895220846, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0e4-0', 'trace_hash': 527527022526704208, 'z1': {'__RealLiteral__': 0, 'data': '0.895633476524245239422701637981', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1135350314100455284608871456610,1251287253874415730607231709267,2064276638614639087701656801429,2292637153845460186691992480903', 'Lhash_array': ['1135350314100455284608871456610', '1251287253874415730607231709267', '2064276638614639087701656801429', '2292637153845460186691992480903'], 'label': '8-3267e4-1.1-c0e4-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3267/1/c/a'}