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lfunc_lfunctions • Show schema
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{'Lhash': '469600526583671490818333550374', 'a10': [0, 0], 'a2': [0, 0], 'a3': [-109714.31967114905, -109714.31967114905], 'a4': [0, 0], 'a5': [-19730368.009141497, 19730368.009141497], 'a6': [0, 0], 'a7': [0, -1023362256.0772089], 'a8': [0, 0], 'a9': [0, 13614110678.806164], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 178.86550034371976, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '10.5', 'prec': 14}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]]], 'bad_primes': [2], 'central_character': '64.17', 'coefficient_field': 'CDF', 'conductor': 64, 'conductor_radical': 2, 'conjugate': '781266324892646104725489390475', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [109714.31967114905, 109714.31967114905], [0, 10460353203.0]], [[1.0, 0], [19730368.009141497, -19730368.009141497], [0, -476837158203125.0]], [[1.0, 0], [0, 1023362256.0772089], [-558545864083284030, 0]], [[1.0, 0], [-73217039420.75038, 73217039420.75038], [0, -7400249944258161000000]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 178.86550034371976, 'bad_primes': [2], 'central_character': '16.13', 'conductor': 64, 'conductor_radical': 2, 'degree': 2, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/64/22/e/a/17/6'], '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': '2-2e6-16.13-c21-0-11', 'motivic_weight': 21, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [21], 'order_of_vanishing': 0, 'prelabel': '2-2e6-16.13-c21-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 13.374060727532225, 'root_angle': 0.10548372133986794, 'self_dual': False, 'spectral_label': 'c21-0', 'z1': {'__RealLiteral__': 0, 'data': '0.37044949649305891067220546592', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '469600526583671490818333550374', 'Lhash_array': ['469600526583671490818333550374'], 'factors': ['2-2e6-16.13-c21-0-11'], 'label': '2-2e6-16.13-c21-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/64/22/e/a/17/6'}