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lfunc_lfunctions • Show schema
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{'Lhash': '4108970488241785050380515694940', 'a10': [-344329.8553887349, 3.212457627788192e-57], 'a2': [16.0, -27.712812921102035], 'a3': [312.8201623543512, -281.5857702807394], 'a4': [-512.0, -886.8100134752651], 'a5': [-5380.153990448983, -9318.70006400208], 'a6': [-2798.4111753649254, -13174.498961766732], 'a7': [-37950.09818695586, 65731.49821203509], 'a8': [-32768.0, 0.0], 'a9': [18565.907950805315, -176171.41275179188], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 13.830177250072603, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-16.0, 27.712812921102035]]], [3, [[1.0, 0], [-312.8201623543512, 281.5857702807394]]]], 'bad_primes': [2, 3], 'central_character': '18.7', 'coefficient_field': 'CDF', 'conductor': 18, 'conductor_radical': 6, 'conjugate': '616858139954699328253447911631', 'degree': 2, 'euler_factors': [[[1.0, 0], [-16.0, 27.712812921102035]], [[1.0, 0], [-312.8201623543512, 281.5857702807394]], 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'3.24140617888083739964847291980', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '4.10986672893826845868963750568', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '6.79337076597573871439326031248', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 13.830177250072603, 'bad_primes': [2, 3], 'central_character': '9.7', 'conductor': 18, 'conductor_radical': 6, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/18/12/c/b/7/5'], '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': '2-18-9.7-c11-0-10', 'motivic_weight': 11, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [11], 'order_of_vanishing': 0, 'prelabel': '2-18-9.7-c11-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.7188946274494796, 'root_angle': -0.4555112852780772, 'self_dual': False, 'spectral_label': 'c11-0', 'z1': {'__RealLiteral__': 0, 'data': '3.24140617888083739964847291980', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '4108970488241785050380515694940', 'Lhash_array': ['4108970488241785050380515694940'], 'label': '2-18-9.7-c11-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/18/12/c/b/7/5'}