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lfunc_lfunctions • Show schema
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{'Lhash': '617153863549637627664351063763', 'a10': [0.0, -72.07986944079619], 'a2': [-4.7201076385702825, 0.0], 'a3': [-4.94572672640327, -1.5936709659589077], 'a4': [14.279416119689529, 0.0], 'a5': [0.0, 15.270810532327], 'a6': [23.34436249957727, 7.522298499790321], 'a7': [9.039158053294553, 0.0], 'a8': [-29.639519992307907, 0.0], 'a9': [21.920425704519204, 15.76372217887177], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 10.443338071016093, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [4.94572672640327, 1.5936709659589077]]], [59, [[1.0, 0], [-183.05709537788755, -414.57098286277943]]]], 'bad_primes': [3, 59], 'central_character': '177.176', 'coefficient_field': 'CDF', 'conductor': 177, 'conductor_radical': 177, 'conjugate': '1493635123321567419353109940384', 'degree': 2, 'euler_factors': [[[1.0, 0], [4.7201076385702825, 0], [8.0, 0]], [[1.0, 0], [4.94572672640327, 1.5936709659589077]], [[1.0, 0], [0, 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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 10.443338071016093, 'bad_primes': [3, 59], 'central_character': '177.176', 'conductor': 177, 'conductor_radical': 177, 'degree': 2, 'index': 12, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/177/4/d/c/176/5'], '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': '2-177-177.176-c3-0-12', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-177-177.176-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.231615396518604, 'root_angle': -0.26656566124143244, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '0.48684855546041194098128201038', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '617153863549637627664351063763', 'Lhash_array': ['617153863549637627664351063763'], 'label': '2-177-177.176-c3-0-12', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/177/4/d/c/176/5'}