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lfunc_lfunctions • Show schema
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{'Lhash': '560265719461236321593835270844', 'a10': [0, 8598233615.693491], 'a2': [0, -247.07210412204674], 'a3': [16209.59750954398, 100983.17756724922], 'a4': [2036107.3753647045, 0], 'a5': [-34800503.465361685, 0], 'a6': [24950126.162470534, -4004939.36365452], 'a7': [714473759.2030876, -219255812.9069613], 'a8': [0, -1021213090.7535341], 'a9': [-9934851100.157171, 3273793327.199841], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 58.690242300283046, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '10.5', 'prec': 14}, 'bad_lfactors': [[3, [[1.0, 0], [-16209.59750954398, -100983.17756724922]]], [7, [[1.0, 0], [-714473759.2030876, 219255812.9069613]]]], 'bad_primes': [3, 7], 'central_character': '21.20', 'coefficient_field': 'CDF', 'conductor': 21, 'conductor_radical': 21, 'conjugate': '1617707617235896354160726607671', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 247.07210412204674], [-2097152.0, 0]], [[1.0, 0], [-16209.59750954398, -100983.17756724922]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 58.690242300283046, 'bad_primes': [3, 7], 'central_character': '21.20', 'conductor': 21, 'conductor_radical': 21, 'degree': 2, 'index': 14, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/21/22/c/b/20/3'], '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': '2-21-21.20-c21-0-14', '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': '2-21-21.20-c21-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.6609557041065734, 'root_angle': -0.3227201824177149, 'self_dual': False, 'spectral_label': 'c21-0', 'z1': {'__RealLiteral__': 0, 'data': '0.44197172261849233523981280200', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '560265719461236321593835270844', 'Lhash_array': ['560265719461236321593835270844'], 'label': '2-21-21.20-c21-0-14', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/21/22/c/b/20/3'}