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lfunc_lfunctions • Show schema
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{'Lhash': '1877184097006555667562966535476', 'a10': [-1906.964790832382, 0.0], 'a2': [8.279043384369206, 0.0], 'a3': [0.0, 0.0], 'a4': [-59.457440639732475, 0.0], 'a5': [-230.3363688651182, 0.0], 'a6': [0.0, 0.0], 'a7': [754.7181625242872, 0.0], 'a8': [-1551.9682837791604, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 64.66370027521323, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [-12167.0, 0]]]], 'bad_primes': [3, 23], 'central_character': '207.1', 'coefficient_field': 'CDF', 'conductor': 207, 'conductor_radical': 69, 'degree': 2, 'euler_factors': [[[1.0, 0], [-8.279043384369206, 0], [128.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [230.3363688651182, 0], [78125.0, 0]], [[1.0, 0], [-754.7181625242872, 0], [823543.0, 0]], [[1.0, 0], [-4115.049812523641, 0], [19487171.0, 0]], [[1.0, 0], [-8274.992480626846, 0], [62748517.0, 0]], [[1.0, 0], [33011.655703111755, 0], 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 64.66370027521323, 'bad_primes': [3, 23], 'central_character': '1.1', 'conductor': 207, 'conductor_radical': 69, 'degree': 2, 'index': 49, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/207/8/a/g/1/9'], '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': '2-207-1.1-c7-0-49', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 1, 'prelabel': '2-207-1.1-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.041374277772004, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '1.48083714603107914121620520561', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1877184097006555667562966535476', 'Lhash_array': ['1877184097006555667562966535476'], 'label': '2-207-1.1-c7-0-49', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/207/8/a/g/1/9'}