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lfunc_lfunctions • Show schema
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{'Lhash': '734150855113425129289731582379', 'a10': [12275.57491256366, 9.063111756860133e-58], 'a2': [-3.2626028921210057, 5.650993974074742], 'a3': [122.84671087630902, 212.7767447804914], 'a4': [234.7108447366473, 406.53110817128334], 'a5': [-940.6274160891946, -1629.2144756587159], 'a6': [-1603.2001367703951, -1.1968570805577093e-58], 'a7': [3055.3267474728896, 5291.98116034721], 'a8': [-6403.978484931709, 0.0], 'a9': [-20341.12874625492, 35231.86847181334], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 19.05632593806331, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '4.5', 'prec': 10}, 'bad_lfactors': [[37, [[1.0, 0], [-5618319.923645827, -9919486.933840951]]]], 'bad_primes': [37], 'central_character': '37.10', 'coefficient_field': 'CDF', 'conductor': 37, 'conductor_radical': 37, 'conjugate': '3299155026542102910411637127492', 'degree': 2, 'euler_factors': [[[1.0, 0], [3.2626028921210057, -5.650993974074742], [-256.0, -443.40500673763256]], [[1.0, 0], 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'data': '3.24485766711607984312930436380', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 19.05632593806331, 'bad_primes': [37], 'central_character': '37.10', 'conductor': 37, 'conductor_radical': 37, 'degree': 2, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/37/10/c/a/10/11'], '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': '2-37-37.10-c9-0-3', 'motivic_weight': 9, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [9], 'order_of_vanishing': 0, 'prelabel': '2-37-37.10-c9-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.365355190366909, 'root_angle': 0.47790219730849026, 'self_dual': False, 'spectral_label': 'c9-0', 'z1': {'__RealLiteral__': 0, 'data': '0.57914290813355643107442210912', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '734150855113425129289731582379', 'Lhash_array': ['734150855113425129289731582379'], 'label': '2-37-37.10-c9-0-3', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/37/10/c/a/10/11'}