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lfunc_lfunctions • Show schema
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{'Lhash': '1289359391553993256039692119735', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [-0.6420736324815003, 0.0], 'a4': [0.0, 0.0], 'a5': [-1.0, 0.0], 'a6': [0.0, 0.0], 'a7': [-3.5877414504720115, 0.0], 'a8': [0.0, 0.0], 'a9': [-2.5877414504720115, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.549044428938494, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [5, [[1.0, 0], [1.0, 0]]], [19, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [2, 5, 19], 'central_character': '6080.1', 'coefficient_field': 'CDF', 'conductor': 6080, 'conductor_radical': 190, 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [0.6420736324815003, 0], [3.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [3.5877414504720115, 0], [7.0, 0]], [[1.0, 0], [0, 0], [11.0, 0]], [[1.0, 0], [1.3579263675184998, 0], [13.0, 0]], [[1.0, 0], [-5.587741450472011, 0], [17.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-4.871888715435012, 0], [23.0, 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0], [113.0, 0]]], 'gamma_factors': [[], [0]], 'group': 'GL2', 'index': 70, 'label': '2-6080-1.1-c1-0-70', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'origin': 'ModularForm/GL2/Q/holomorphic/6080/2/a/bq/1/2', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.046875', 'prec': 27}, 'plot_values': [-4.326940310387825e-61, 0.12706257369580579, 0.2527588558251245, 0.37569171933543494, 0.4944049554146641, 0.607360024448702, 0.7129198722567582, 0.8093414208672067, 0.8947778147976567, 0.9672909554692286, 1.0248743299831993, 1.0654856658075416, 1.0870885363589038, 1.0877017086734797, 1.0654547595954633, 1.0186482828797145, 0.9458168568560559, 0.8457928326720833, 0.7177689311014667, 0.5613575990205282, 0.37664507525872326, 0.1642381520798947, -0.07469830322375168, -0.3384148781288077, -0.6245638340589952, -0.9301994272822303, -1.251793465027916, 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'6.15242330451753197339477091521347', '7.07826922301391166545448117442071', '7.57228917002634568386686677825504'], 'prelabel': '2-6080-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.967714433653154, 'root_angle': 1.0, 'root_number': '-1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.01712521677649612327528413839', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.63899922200150773136927817504', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.16302080802291365498930980884', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.549044428938494, 'bad_primes': [2, 5, 19], 'central_character': '1.1', 'conductor': 6080, 'conductor_radical': 190, 'degree': 2, 'index': 70, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6080/2/a/bq/1/2'], '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': '2-6080-1.1-c1-0-70', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 1, 'prelabel': '2-6080-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.967714433653154, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.01712521677649612327528413839', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1289359391553993256039692119735', 'Lhash_array': ['1289359391553993256039692119735'], 'label': '2-6080-1.1-c1-0-70', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6080/2/a/bq/1/2'}