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lfunc_lfunctions • Show schema
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{'Lhash': '2090459601783346349279650003469', 'a10': [6729.526758932191, 0.0], 'a2': [14.697083120144645, 0.0], 'a3': [27.0, 0.0], 'a4': [88.00425224044069, 0.0], 'a5': [457.8817921842141, 0.0], 'a6': [396.8212442439054, 0.0], 'a7': [1576.4222954350867, 0.0], 'a8': [-587.8208292745823, 0.0], 'a9': [729.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 55.292149510689576, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '3.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-27.0, 0]]], [59, [[1.0, 0], [-205379.0, 0]]]], 'bad_primes': [3, 59], 'central_character': '177.1', 'coefficient_field': 'CDF', 'conductor': 177, 'conductor_radical': 177, 'degree': 2, 'euler_factors': [[[1.0, 0], [-14.697083120144645, 0], [128.0, 0]], [[1.0, 0], [-27.0, 0]], [[1.0, 0], [-457.8817921842141, 0], [78125.0, 0]], [[1.0, 0], [-1576.4222954350867, 0], [823543.0, 0]], [[1.0, 0], [-6841.625653948595, 0], [19487171.0, 0]], [[1.0, 0], [-4116.8504829128005, 0], [62748517.0, 0]], [[1.0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 55.292149510689576, 'bad_primes': [3, 59], 'central_character': '1.1', 'conductor': 177, 'conductor_radical': 177, 'degree': 2, 'index': 53, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/177/8/a/d/1/14'], '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': '2-177-1.1-c7-0-53', 'motivic_weight': 7, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [7], 'order_of_vanishing': 0, 'prelabel': '2-177-1.1-c7-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 7.435869116027364, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c7-0', 'z1': {'__RealLiteral__': 0, 'data': '1.64908185379076646575161132804', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2090459601783346349279650003469', 'Lhash_array': ['2090459601783346349279650003469'], 'label': '2-177-1.1-c7-0-53', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/177/8/a/d/1/14'}