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lfunc_lfunctions • Show schema
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{'Lhash': '715920901971774918432883879291', 'a10': [3.8515252694629516, 0.0], 'a2': [-1.0, 0.0], 'a3': [-3.064936645148329, 0.0], 'a4': [1.0, 0.0], 'a5': [-3.8515252694629516, 0.0], 'a6': [3.064936645148329, 0.0], 'a7': [4.929684606477172, 0.0], 'a8': [-1.0, 0.0], 'a9': [6.393836638773093, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 48.022031775598045, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [1.0, 0]]], [31, [[1.0, 0], [-1.0, 0]]], [97, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 31, 97], 'central_character': '6014.1', 'coefficient_field': 'CDF', 'conductor': 6014, 'conductor_radical': 6014, 'degree': 2, 'euler_factors': [[[1.0, 0], [1.0, 0]], [[1.0, 0], [3.064936645148329, 0], [3.0, 0]], [[1.0, 0], [3.8515252694629516, 0], [5.0, 0]], [[1.0, 0], [-4.929684606477172, 0], [7.0, 0]], [[1.0, 0], [3.45164298804024, 0], [11.0, 0]], [[1.0, 0], [6.102485772291128, 0], [13.0, 0]], [[1.0, 0], 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'2.63751127806829596858233709494230', '3.87762018246292300234722972771138', '4.88521062497687150578599381456656', '5.07162274941617391880812612488389', '5.69655688861317757477527468231270', '7.18597615483672183795092708804929', '7.37031755015694234447418227395402', '7.85993052619829242475820903907215'], 'prelabel': '2-6014-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.92979305431252, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.56476201079609761768804107838', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.22601656224034608118171742288', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.63751127806829596858233709494', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 48.022031775598045, 'bad_primes': [2, 31, 97], 'central_character': '1.1', 'conductor': 6014, 'conductor_radical': 6014, 'degree': 2, 'index': 45, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6014/2/a/l/1/4'], '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': '2-6014-1.1-c1-0-45', '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': '2-6014-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.92979305431252, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.56476201079609761768804107838', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '715920901971774918432883879291', 'Lhash_array': ['715920901971774918432883879291'], 'label': '2-6014-1.1-c1-0-45', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6014/2/a/l/1/4'}