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lfunc_lfunctions • Show schema
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{'Lhash': '2400956912744243200502482792324', 'a10': [-0.6632858040342905, -0.28386929948939943], 'a2': [-1.412050045384282, -0.0781963511312876], 'a3': [0.0, 0.0], 'a4': [1.9877706613395048, 0.2208343223276398], 'a5': [0.47939514655381776, 0.17448556379727345], 'a6': [0.0, 0.0], 'a7': [-1.6317569043219333, -0.28772276818927806], 'a8': [-2.7895632143474196, -0.4672655274677266], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.174306050978972, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.412050045384282, 0.0781963511312876]]], [3, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3], 'central_character': '648.35', 'coefficient_field': 'CDF', 'conductor': 648, 'conductor_radical': 6, 'conjugate': '78892382257801398226946711968', 'degree': 2, 'euler_factors': [[[1.0, 0], [1.412050045384282, 0.0781963511312876]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.47939514655381776, -0.17448556379727345], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.174306050978972, 'bad_primes': [2, 3], 'central_character': '216.11', 'conductor': 648, 'conductor_radical': 6, 'degree': 2, 'index': 29, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/648/2/v/b/35/2'], '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': '2-648-216.11-c1-0-29', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-648-216.11-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.2747101026238425, 'root_angle': 0.4751286963854961, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.89402104358406954668986026839', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2400956912744243200502482792324', 'Lhash_array': ['2400956912744243200502482792324'], 'factors': ['2-648-216.11-c1-0-29'], 'label': '2-648-216.11-c1-0-29', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/648/2/v/b/35/2'}