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lfunc_lfunctions • Show schema
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{'Lhash': '1374568298586530764407828602828', 'a10': [0, 0], 'a2': [0, 0], 'a3': [0, -7.0], 'a4': [0, 0], 'a5': [0, 0], 'a6': [0, 0], 'a7': [0, -50.0], 'a8': [0, 0], 'a9': [194.0, 0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 176.42220179427872, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '2.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [-121.0, 0]]]], 'bad_primes': [2, 5, 11], 'central_character': '1100.749', 'coefficient_field': 'CDF', 'conductor': 1100, 'conductor_radical': 110, 'conjugate': '540167448462828505766427939026', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0, 7.0], [-243.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0, 50.0], [-16807.0, 0]], [[1.0, 0], [-121.0, 0]], [[1.0, 0], [0, -380.0], [-371293.0, 0]], [[1.0, 0], [0, 1154.0], [-1419857.0, 0]], [[1.0, 0], [-1824.0, 0], [2476099.0, 0]], [[1.0, 0], [0, 3591.0], [-6436343.0, 0]], [[1.0, 0], [8032.0, 0], [20511149.0, 0]], [[1.0, 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'8.708344793092519895417178738007066', '9.522555311178225235240628505380323'], 'prelabel': '2-1100-5.4-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 13.282401958767801, 'root_angle': 0.6475836176504333, 'root_number': '-0.4472135954999579392818347337462552470881236719223051449 + 0.8944271909999158785636694674925104941762473438446102897*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.32379180882521663', 'prec': 64}, 'spectral_label': 'c5-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.08434319231107670095343860710', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.04793364656800932560014748981', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.47842994481973804572668659036', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 176.42220179427872, 'bad_primes': [2, 5, 11], 'central_character': '5.4', 'conductor': 1100, 'conductor_radical': 110, 'degree': 2, 'index': 60, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1100/6/b/a/749/1'], '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': '2-1100-5.4-c5-0-60', 'motivic_weight': 5, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [5], 'order_of_vanishing': 0, 'prelabel': '2-1100-5.4-c5-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 13.282401958767801, 'root_angle': 0.32379180882521663, 'self_dual': False, 'spectral_label': 'c5-0', 'z1': {'__RealLiteral__': 0, 'data': '1.08434319231107670095343860710', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1374568298586530764407828602828', 'Lhash_array': ['1374568298586530764407828602828'], 'label': '2-1100-5.4-c5-0-60', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1100/6/b/a/749/1'}