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lfunc_lfunctions • Show schema
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{'Lhash': '798591709408112607755617723562', 'a10': [2.6041600936540217, -1.297488576344069e-60], 'a2': [-0.7132203932344198, -0.41177798602542304], 'a3': [2.6602920051891767, 0.0], 'a4': [-0.660877780449693, -1.144673893332218], 'a5': [-2.7384523616651113, 1.5810462081703185], 'a6': [-1.897374510059408, -1.0954496841363335], 'a7': [0.0, 0.0], 'a8': [0.0, 2.735651629871797], 'a9': [4.077153552873452, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 5.086470608755563, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[7, [[1.0, 0], [0, 0]]], [13, [[1.0, 0], [0.07661926980187603, -3.6047370899269517]]]], 'bad_primes': [7, 13], 'central_character': '637.361', 'coefficient_field': 'CDF', 'conductor': 637, 'conductor_radical': 91, 'conjugate': '2316759259645664306578840743362', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.7132203932344198, 0.41177798602542304], [1.0, 1.7320508075688772]], [[1.0, 0], [-2.6602920051891767, 0], [3.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 5.086470608755563, 'bad_primes': [7, 13], 'central_character': '91.88', 'conductor': 637, 'conductor_radical': 91, 'degree': 2, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/637/2/u/h/361/3'], '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': '2-637-91.88-c1-0-10', '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': '2-637-91.88-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.2553205113144257, 'root_angle': -0.18141631357507304, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.62997777878567892157913208409', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '798591709408112607755617723562', 'Lhash_array': ['798591709408112607755617723562'], 'label': '2-637-91.88-c1-0-10', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/637/2/u/h/361/3'}