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lfunc_lfunctions • Show schema
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{'Lhash': '918653203100176792480392525194', 'a10': [-1.2377302533869502e-56, 27605.395144952116], 'a2': [-0.6976129806154013, 0.9601818940050456], 'a3': [-145.74366800267688, 448.5528876593744], 'a4': [1265.2983235609327, 3894.187820038929], 'a5': [18817.23223838883, -13671.519480542998], 'a6': [-329.0196865930416, -452.85674810575426], 'a7': [-169547.27008996523, 55089.24749475003], 'a8': [-9245.224331347103, -3003.9554813463756], 'a9': [249986.3242429276, 181625.69598222445], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.053931990039143, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '6.0', 'prec': 10}, 'bad_lfactors': [[11, [[1.0, 0], [555898.2725581469, -1682083.6742825455]]]], 'bad_primes': [11], 'central_character': '11.7', 'coefficient_field': 'CDF', 'conductor': 11, 'conductor_radical': 11, 'conjugate': '3018836318741114740174032125540', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.6976129806154013, -0.9601818940050456], [-1265.7336089597848, 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'root_analytic_conductor': 3.1707935899454482, 'root_angle': -0.6762679657380005, 'root_number': '-0.5258908442914179 - 0.8505520677127648*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.338133982869', 'prec': 50}, 'spectral_label': 'c12-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.72468959738178747314051707621', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.66388131206825583910075423016', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '6.06515139165986399366629437000', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.053931990039143, 'bad_primes': [11], 'central_character': '11.7', 'conductor': 11, 'conductor_radical': 11, 'degree': 2, 'index': 5, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/11/13/d/a/7/7'], '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': '2-11-11.7-c12-0-5', 'motivic_weight': 12, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [12], 'order_of_vanishing': 0, 'prelabel': '2-11-11.7-c12-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1707935899454482, 'root_angle': -0.33813398286900026, 'self_dual': False, 'spectral_label': 'c12-0', 'z1': {'__RealLiteral__': 0, 'data': '0.72468959738178747314051707621', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '918653203100176792480392525194', 'Lhash_array': ['918653203100176792480392525194'], 'label': '2-11-11.7-c12-0-5', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/11/13/d/a/7/7'}