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lfunc_lfunctions • Show schema
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{'Lhash': '310462188060761410604790367431', 'a10': [0.0, 0.0], 'a2': [-0.8545598606459379, -2.630064814640782], 'a3': [-1.3279989658738018, -0.964847725854457], 'a4': [-4.568934385034351, 3.3195251383934763], 'a5': [0.0, 0.0], 'a6': [-1.4027574440409165, 4.317243492174765], 'a7': [-1.535450706222299, 1.1155702377263659], 'a8': [8.160460677994765, 5.928921730678658], 'a9': [-0.09440086384947247, -0.2905359845646439], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.1958860555852118, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[5, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [-0.10271990438411395, -3.3150337285227307]]]], 'bad_primes': [5, 11], 'central_character': '275.126', 'coefficient_field': 'CDF', 'conductor': 275, 'conductor_radical': 55, 'conjugate': '1940411475213790591755913703500', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.8545598606459379, 2.630064814640782], [-1.618033988749895, 1.1755705045849463]], [[1.0, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.1958860555852118, 'bad_primes': [5, 11], 'central_character': '11.5', 'conductor': 275, 'conductor_radical': 55, 'degree': 2, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/275/2/h/c/126/1'], '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': '2-275-11.5-c1-0-0', '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': '2-275-11.5-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.4818522381078392, 'root_angle': 0.002352859361097839, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.24491148271050825005415600688', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '310462188060761410604790367431', 'Lhash_array': ['310462188060761410604790367431'], 'label': '2-275-11.5-c1-0-0', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/275/2/h/c/126/1'}