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lfunc_lfunctions • Show schema
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{'Lhash': '645746893185143134977569360851', 'a10': [3.116436614958725, 0.0], 'a2': [-1.0, 0.0], 'a3': [-1.9773273733607675, 0.0], 'a4': [1.0, 0.0], 'a5': [-3.116436614958725, 0.0], 'a6': [1.9773273733607675, 0.0], 'a7': [-3.9425475262952814, 0.0], 'a8': [-1.0, 0.0], 'a9': [0.9098235414417919, 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], [1.9773273733607675, 0], [3.0, 0]], [[1.0, 0], [3.116436614958725, 0], [5.0, 0]], [[1.0, 0], [3.9425475262952814, 0], [7.0, 0]], [[1.0, 0], [4.525063295964436, 0], [11.0, 0]], [[1.0, 0], [5.665167798948696, 0], [13.0, 0]], [[1.0, 0], 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['0.50940447870168803271480564601288', '2.46259647805388547266498770299880', '3.04654943877487540651907448684250', '4.11884589395749143249985460794044', '4.89420527043196454694714407779427', '5.73902230440049315361806823105441', '6.37787263997042374985095215258853', '7.19044524745309832956818213792978', '7.56136429929424482212172067202091'], 'prelabel': '2-6026-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.936703270143792, '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': '0.50940447870168803271480564601', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.46259647805388547266498770300', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.04654943877487540651907448684', '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': 40, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6026/2/a/i/1/7'], '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-c1-0-40', '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': '2-6026-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.936703270143792, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.50940447870168803271480564601', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '645746893185143134977569360851', 'Lhash_array': ['645746893185143134977569360851'], 'label': '2-6026-1.1-c1-0-40', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6026/2/a/i/1/7'}