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lfunc_lfunctions • Show schema
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{'Lhash': '783748295294043238095423511184', 'a10': [0, 0], 'a2': [-0.8546014289635369, 3.907640771311186], 'a3': [0, -5.196152422706632], 'a4': [-14.539312795226962, -6.6789507740774345], 'a5': [0, 0], 'a6': [20.30469706091583, 4.440639285557432], 'a7': [0, 10.526680605193839], 'a8': [38.52425784531418, -51.10657058997158], 'a9': [-27.0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 31.010988925153306, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0.8546014289635369, -3.907640771311186]]], [3, [[1.0, 0], [0, 5.196152422706632]]], [5, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 3, 5], 'central_character': '300.151', 'coefficient_field': 'CDF', 'conductor': 300, 'conductor_radical': 30, 'conjugate': '1083056249024799954741049426186', 'degree': 2, 'euler_factors': [[[1.0, 0], [0.8546014289635369, -3.907640771311186]], [[1.0, 0], [0, 5.196152422706632]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, -10.526680605193839], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 31.010988925153306, 'bad_primes': [2, 3, 5], 'central_character': '4.3', 'conductor': 300, 'conductor_radical': 30, 'degree': 2, 'index': 25, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/300/5/c/e/151/12'], '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': '2-300-4.3-c4-0-25', 'motivic_weight': 4, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [4], 'order_of_vanishing': 0, 'prelabel': '2-300-4.3-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 5.568751110002431, 'root_angle': -0.1814646734749279, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '0.61826838969108381564438733035', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '783748295294043238095423511184', 'Lhash_array': ['783748295294043238095423511184'], 'label': '2-300-4.3-c4-0-25', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/300/5/c/e/151/12'}