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'data': '0.62656776523311349125675141608', 'prec': 103}}
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{'algebraic': True, 'analytic_conductor': 214.55840450567143, 'bad_primes': [2, 5, 7], 'central_character': '1.1', 'conductor': 55755605447919901081600000000, 'conductor_radical': 70, 'degree': 16, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 8, 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, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 4, 6, 8, 17, 24, 22, 28, 36, 28, 22, 24, 17, 8, 6, 4, 1], 'euler13': [1, 0, 0, 0, -2, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 0, 1], 'euler17': [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], 'euler19': [1, 0, 0, 0, -2, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 0, 1], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 4, 8, 8, 2, -4, 0, 12, 19, 12, 0, -4, 2, 8, 8, 4, 1], 'euler29': [1, 0, -4, 0, 10, 0, -16, 0, 19, 0, -16, 0, 10, 0, -4, 0, 1], 'euler3': [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], 'euler31': [1, 0, -4, 0, 10, 0, -16, 0, 19, 0, -16, 0, 10, 0, -4, 0, 1], 'euler37': [1, -4, 8, -8, 2, 4, 0, -12, 19, -12, 0, 4, 2, -8, 8, -4, 1], 'euler41': [1, 0, 8, 0, 28, 0, 56, 0, 70, 0, 56, 0, 28, 0, 8, 0, 1], 'euler43': [1, -8, 32, -88, 188, -328, 480, -600, 646, -600, 480, -328, 188, -88, 32, -8, 1], 'euler47': [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], 'euler5': [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, 0, 0, -2, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 0, 1], 'euler59': [1, 0, 4, 0, 10, 0, 16, 0, 19, 0, 16, 0, 10, 0, 4, 0, 1], 'euler61': [1, 0, -4, 0, 10, 0, -16, 0, 19, 0, -16, 0, 10, 0, -4, 0, 1], 'euler67': [1, 0, 0, 0, -2, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 0, 1], 'euler7': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler71': [1, 0, 8, 0, 28, 0, 56, 0, 70, 0, 56, 0, 28, 0, 8, 0, 1], 'euler73': [1, 0, 0, 0, -2, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 0, 1], 'euler79': [1, 0, 2, 0, 1, 0, 2, 0, 4, 0, 2, 0, 1, 0, 2, 0, 1], 'euler83': [1, 0, 0, 0, 4, 0, 0, 0, 6, 0, 0, 0, 4, 0, 0, 0, 1], 'euler89': [1, 0, 4, 0, 10, 0, 16, 0, 19, 0, 16, 0, 10, 0, 4, 0, 1], 'euler97': [1, 0, 0, 0, -2, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 0, 1], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [1, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 4, 6, 8, 17, 24, 22, 28, 36, 28, 22, 24, 17, 8, 6, 4, 1], [1, 0, 0, 0, -2, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 0, 1], [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [1, 0, 0, 0, -2, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 0, 1], [1, 4, 8, 8, 2, -4, 0, 12, 19, 12, 0, -4, 2, 8, 8, 4, 1], [1, 0, -4, 0, 10, 0, -16, 0, 19, 0, -16, 0, 10, 0, -4, 0, 1], [1, 0, -4, 0, 10, 0, -16, 0, 19, 0, -16, 0, 10, 0, -4, 0, 1], [1, -4, 8, -8, 2, 4, 0, -12, 19, -12, 0, 4, 2, -8, 8, -4, 1], [1, 0, 8, 0, 28, 0, 56, 0, 70, 0, 56, 0, 28, 0, 8, 0, 1], [1, -8, 32, -88, 188, -328, 480, -600, 646, -600, 480, -328, 188, -88, 32, -8, 1], [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1], [1, 0, 0, 0, -2, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 0, 1], [1, 0, 4, 0, 10, 0, 16, 0, 19, 0, 16, 0, 10, 0, 4, 0, 1], [1, 0, -4, 0, 10, 0, -16, 0, 19, 0, -16, 0, 10, 0, -4, 0, 1], [1, 0, 0, 0, -2, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 0, 1], [1, 0, 8, 0, 28, 0, 56, 0, 70, 0, 56, 0, 28, 0, 8, 0, 1], [1, 0, 0, 0, -2, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 0, 1], [1, 0, 2, 0, 1, 0, 2, 0, 4, 0, 2, 0, 1, 0, 2, 0, 1], [1, 0, 0, 0, 4, 0, 0, 0, 6, 0, 0, 0, 4, 0, 0, 0, 1], [1, 0, 4, 0, 10, 0, 16, 0, 19, 0, 16, 0, 10, 0, 4, 0, 1], [1, 0, 0, 0, -2, 0, 0, 0, 3, 0, 0, 0, -2, 0, 0, 0, 1]], 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/3920/1/cl/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': '16-3920e8-1.1-c0e8-0-1', '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}, {'__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, 0, 0, 0, 0], 'order_of_vanishing': 0, 'prelabel': '16-3920e8-1.1-c0e8-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.3986904051724127, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0e8-0', 'z1': {'__RealLiteral__': 0, 'data': '0.50100356431413836035387006312', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '635097469019299824616730447949,794069775440531628383875784035,794269003681416643115996021495,1146438692553882273502188044733,1175761152610099165385295479835,1882231376168142909178233621162,2112060409051853927412515127128,2505905017742715555615150530986', 'Lhash_array': ['635097469019299824616730447949', '794069775440531628383875784035', '794269003681416643115996021495', '1146438692553882273502188044733', '1175761152610099165385295479835', '1882231376168142909178233621162', '2112060409051853927412515127128', '2505905017742715555615150530986'], 'label': '16-3920e8-1.1-c0e8-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/3920/1/cl/a'}