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lfunc_lfunctions • Show schema
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{'Lhash': '359922241752781579568513845348', 'a10': [-0.0035195520360586314, 0.0], 'a2': [1.0, 0.0], 'a3': [-1.656592784594907, 0.0], 'a4': [1.0, 0.0], 'a5': [-0.0035195520360586314, 0.0], 'a6': [-1.656592784594907, 0.0], 'a7': [-4.745115840323664, 0.0], 'a8': [1.0, 0.0], 'a9': [-0.2557003460280914, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.11785225802358, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [23, [[1.0, 0], [1.0, 0]]], [131, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 23, 131], 'central_character': '6026.1', 'coefficient_field': 'CDF', 'conductor': 6026, 'conductor_radical': 6026, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [1.656592784594907, 0], [3.0, 0]], [[1.0, 0], [0.0035195520360586314, 0], [5.0, 0]], [[1.0, 0], [4.745115840323664, 0], [7.0, 0]], [[1.0, 0], [2.219013360891868, 0], [11.0, 0]], [[1.0, 0], [6.69635679949277, 0], [13.0, 0]], [[1.0, 0], 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['0.28392858543827512758336623042768', '2.10145539508028656579987210891714', '2.97645934924245612189726461681438', '3.54446318994318662044330739125591', '4.64659923685448218420737061347337', '5.39820881680305791798996698850281', '5.74673742206242598905784234992030', '6.52323490029489880621294292067099', '7.26104110607588955041705703529219', '7.58295016678363027908992773576721'], 'prelabel': '2-6026-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.936703270143792, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.28392858543827512758336623043', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.10145539508028656579987210892', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.97645934924245612189726461681', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.11785225802358, 'bad_primes': [2, 23, 131], 'central_character': '1.1', 'conductor': 6026, 'conductor_radical': 6026, 'degree': 2, 'index': 13, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6026/2/a/k/1/12'], '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': '2-6026-1.1-c1-0-13', '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': '2-6026-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.936703270143792, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.28392858543827512758336623043', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '359922241752781579568513845348', 'Lhash_array': ['359922241752781579568513845348'], 'label': '2-6026-1.1-c1-0-13', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6026/2/a/k/1/12'}