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lfunc_lfunctions • Show schema
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{'Lhash': '419646794531248507013020288433', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [1654.5995232325467, -2865.850440418012], 'a6': [0, 0], 'a7': [41550.91892390019, 15838.177912230705], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 193.62248150101644, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '5.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [7, [[1.0, 0], [-41550.91892390019, -15838.177912230705]]]], 'bad_primes': [2, 3, 7], 'central_character': '252.37', 'coefficient_field': 'CDF', 'conductor': 252, 'conductor_radical': 42, 'conjugate': '1831213822402916425720060112077', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1654.5995232325467, 2865.850440418012], [-24414062.5, -42286396.66916204]], [[1.0, 0], [-41550.91892390019, -15838.177912230705]], [[1.0, 0], [-446235.90563083184, -772903.2607141116], [-142655835305.5, 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'spectral_label': 'c11-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.33104295020701664371678596559', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.27235062683265525688506384950', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.55433771828505631375026077767', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 193.62248150101644, 'bad_primes': [2, 3, 7], 'central_character': '7.2', 'conductor': 252, 'conductor_radical': 42, 'degree': 2, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/252/12/k/e/37/8'], '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': '2-252-7.2-c11-0-11', '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': '2-252-7.2-c11-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 13.91482955343027, 'root_angle': -0.3687931333333101, 'self_dual': False, 'spectral_label': 'c11-0', 'z1': {'__RealLiteral__': 0, 'data': '0.33104295020701664371678596559', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '419646794531248507013020288433', 'Lhash_array': ['419646794531248507013020288433'], 'label': '2-252-7.2-c11-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/252/12/k/e/37/8'}