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lfunc_lfunctions • Show schema
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{'Lhash': '1935054555913638994142391367461', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [7.868394647988739, 7.868394647988739], 'a4': [0.0, 0.0], 'a5': [-27.230943569947836, -27.230943569947836], 'a6': [0.0, 0.0], 'a7': [50.309730784513945, 0.0], 'a8': [0.0, 0.0], 'a9': [0.0, 42.82326867299569], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 13.231355274732078, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.0', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]]], 'bad_primes': [2], 'central_character': '128.31', 'coefficient_field': 'CDF', 'conductor': 128, 'conductor_radical': 2, 'conjugate': '1332423245085882604103768476455', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-7.868394647988739, -7.868394647988739], [0, 81.0]], [[1.0, 0], [27.230943569947836, 27.230943569947836], [0, 625.0]], [[1.0, 0], [-50.309730784513945, 0], [2401.0, 0]], [[1.0, 0], [-53.104650381805875, 53.104650381805875], [0, -14641.0]], [[1.0, 0], [-125.12820806095725, 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'z1': {'__RealLiteral__': 0, 'data': '1.52648888863007625973512056726', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.00319673909414750526190464228', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.31766659002725372850071687217', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 13.231355274732078, 'bad_primes': [2], 'central_character': '16.11', 'conductor': 128, 'conductor_radical': 2, 'degree': 2, 'index': 8, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/128/5/f/b/31/6'], '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': '2-2e7-16.11-c4-0-8', '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': '2-2e7-16.11-c4-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.6374929930835713, 'root_angle': 0.043501533392480474, 'self_dual': False, 'spectral_label': 'c4-0', 'z1': {'__RealLiteral__': 0, 'data': '1.52648888863007625973512056726', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1935054555913638994142391367461', 'Lhash_array': ['1935054555913638994142391367461'], 'label': '2-2e7-16.11-c4-0-8', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/128/5/f/b/31/6'}