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lfunc_lfunctions • Show schema
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{'Lhash': '1130329073405640976495313865016', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, 0], 'a4': [0, 0], 'a5': [2.2221891785620707, 0.2487473712054658], 'a6': [0, 0], 'a7': [1.519303833105563, 2.166036902435123], 'a8': [0, 0], 'a9': [0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.061150654681333, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [-2.2221891785620707, -0.2487473712054658]]], [7, [[1.0, 0], [-1.519303833105563, -2.166036902435123]]]], 'bad_primes': [2, 3, 5, 7], 'central_character': '1260.937', 'coefficient_field': 'CDF', 'conductor': 1260, 'conductor_radical': 210, 'conjugate': '2100416803952929507318819241661', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-2.2221891785620707, -0.2487473712054658]], [[1.0, 0], [-1.519303833105563, -2.166036902435123]], [[1.0, 0], [1.105527432977097, 0], [11.0, 0]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.061150654681333, 'bad_primes': [2, 3, 5, 7], 'central_character': '35.27', 'conductor': 1260, 'conductor_radical': 210, 'degree': 2, 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1260/2/ba/b/937/8'], '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': '2-1260-35.27-c1-0-7', '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': '2-1260-35.27-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.1719316913643225, 'root_angle': -0.1677142106267109, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.891672416044401442045924000903', 'prec': 107}}
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lfunc_instances • Show schema
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{'Lhash': '1130329073405640976495313865016', 'Lhash_array': ['1130329073405640976495313865016'], 'label': '2-1260-35.27-c1-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1260/2/ba/b/937/8'}