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lfunc_lfunctions • Show schema
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{'Lhash': '5462252086713519817534036986419', 'a10': [0.031035503869740712, -0.16290972148393248], 'a2': [1.1245702690647748, 1.653886849193614], 'a3': [-3.2491405381295495, -3.2491405381295495], 'a4': [-1.4706834198711607, 3.7198239580007098], 'a5': [-0.058633160257678785, -0.058633160257678785], 'a6': [1.71982395800071, -9.027597656387938], 'a7': [4.615547396774456, 0.0], 'a8': [-7.806054774646327, 1.7508594618704507], 'a9': [0.0, 12.113828473033555], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 0.4359684229764751, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.1245702690647748, -1.653886849193614]]]], 'bad_primes': [2], 'central_character': '16.11', 'coefficient_field': 'CDF', 'conductor': 16, 'conductor_radical': 2, 'conjugate': '6630770671892446076940478043902', 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.1245702690647748, -1.653886849193614]], [[1.0, 0], [3.2491405381295495, 3.2491405381295495], [0, 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0.41240354115531475*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.0676553088605', 'prec': 54}, 'spectral_label': 'c2-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '4.30895712567018791429387203306', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '5.77183978837161210226899607114', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '9.327656388993218458874962249077', 'prec': 107}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 0.4359684229764751, 'bad_primes': [2], 'central_character': '16.11', 'conductor': 16, 'conductor_radical': 2, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/16/3/f/a/11/3'], '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': '2-2e4-16.11-c2-0-1', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2], 'order_of_vanishing': 0, 'prelabel': '2-2e4-16.11-c2-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 0.6602790493242043, 'root_angle': -0.06765530886046309, 'self_dual': False, 'spectral_label': 'c2-0', 'z1': {'__RealLiteral__': 0, 'data': '4.30895712567018791429387203306', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '5462252086713519817534036986419', 'Lhash_array': ['5462252086713519817534036986419'], 'factors': ['2-2e4-16.11-c2-0-1'], 'label': '2-2e4-16.11-c2-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/16/3/f/a/11/3'}