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lfunc_lfunctions • Show schema
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{'Lhash': '2807044651128462389340790435344', 'a10': [-90.8126715142499, 8.790409754535032], 'a2': [3.9813912819568578, -0.3853874154119843], 'a3': [0.0, 0.0], 'a4': [15.702953080084141, -3.0687561917943205], 'a5': [-22.809280747109934, 0.0], 'a6': [0.0, 0.0], 'a7': [0.0, -82.12043883076186], 'a8': [61.33694047673945, -18.26963965033032], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 11.163956013055191, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-3.9813912819568578, 0.3853874154119843]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '108.55', 'coefficient_field': 'CDF', 'conductor': 108, 'conductor_radical': 6, 'conjugate': '1194437670441763314280076782617', 'degree': 2, 'euler_factors': [[[1.0, 0], [-3.9813912819568578, 0.3853874154119843]], [[1.0, 0], [0, 0]], [[1.0, 0], [22.809280747109934, 0], [625.0, 0]], [[1.0, 0], [0, 82.12043883076186], [-2401.0, 0]], [[1.0, 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{'__RealLiteral__': 0, 'data': '5.08024114180216308276967252368', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 11.163956013055191, 'bad_primes': [2, 3], 'central_character': '4.3', 'conductor': 108, 'conductor_radical': 6, 'degree': 2, 'index': 28, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/108/5/d/b/55/15'], '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': '2-108-4.3-c4-0-28', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-108-4.3-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.341250666001459, 'root_angle': 0.219284197317419, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '2.21436778448499811793107552268', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2807044651128462389340790435344', 'Lhash_array': ['2807044651128462389340790435344'], 'label': '2-108-4.3-c4-0-28', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/108/5/d/b/55/15'}