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lfunc_lfunctions • Show schema
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{'Lhash': '3481470411488767156231085876672', 'a10': [-0.32806106416825737, -2.21187159170165], 'a2': [0.8090169943749475, 0.5877852522924731], 'a3': [-0.9249285398378541, -2.8466373401225087], 'a4': [0.30901699437494745, 0.9510565162951535], 'a5': [-1.5655124776717588, -1.5966122516923233], 'a6': [0.9249285398378541, -2.8466373401225087], 'a7': [1.0, 0.0], 'a8': [-0.30901699437494745, 0.9510565162951535], 'a9': [-4.820800359248325, 3.5025164800174298], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2.7947640707448147, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-0.8090169943749475, -0.5877852522924731]]], [5, [[1.0, 0], [1.5655124776717588, 1.5966122516923233]]], [7, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 7], 'central_character': '350.141', 'coefficient_field': 'CDF', 'conductor': 350, 'conductor_radical': 70, 'conjugate': '806651519095337484165030622758', 'degree': 2, 'euler_factors': [[[1.0, 0], 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['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.74639590030719731732937677782', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.92311532298210820276962637841', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.67749361402302834441089752521', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2.7947640707448147, 'bad_primes': [2, 5, 7], 'central_character': '25.16', 'conductor': 350, 'conductor_radical': 70, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/350/2/h/d/141/1'], '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': '2-350-25.16-c1-0-13', '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': '2-350-25.16-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.6717547878635834, 'root_angle': 0.3731305047110725, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.74639590030719731732937677782', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3481470411488767156231085876672', 'Lhash_array': ['3481470411488767156231085876672'], 'label': '2-350-25.16-c1-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/350/2/h/d/141/1'}