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lfunc_lfunctions • Show schema
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{'Lhash': '2474879288792899493983769220043', 'a10': [0.8900837358252576, 0.0], 'a2': [1.0, 0.0], 'a3': [-0.19806226419516174, 0.0], 'a4': [1.0, 0.0], 'a5': [0.8900837358252576, 0.0], 'a6': [-0.19806226419516174, 0.0], 'a7': [-1.0, 0.0], 'a8': [1.0, 0.0], 'a9': [-2.960771339501886, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 18.892605118234947, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [7, [[1.0, 0], [1.0, 0]]], [13, [[1.0, 0], [0, 0]]]], 'bad_primes': [2, 7, 13], 'central_character': '2366.1', 'coefficient_field': 'CDF', 'conductor': 2366, 'conductor_radical': 182, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [0.19806226419516174, 0], [3.0, 0]], [[1.0, 0], [-0.8900837358252576, 0], [5.0, 0]], [[1.0, 0], [1.0, 0]], [[1.0, 0], [-0.6648743962621135, 0], [11.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [2.4450418679126287, 0], [17.0, 0]], [[1.0, 0], [8.63102254697766, 0], 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'6.14880098932720461896367868908636', '6.68191337384785991318303201294215', '7.85364217211133381955964297297538', '8.553002730704364656247266730966385'], 'prelabel': '2-2366-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.346562448445317, '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': '1.95233551606990059219029172941', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.65406921201735599756584591509', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.83907833483421840763890757127', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 18.892605118234947, 'bad_primes': [2, 7, 13], 'central_character': '1.1', 'conductor': 2366, 'conductor_radical': 182, 'degree': 2, 'index': 74, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2366/2/a/z/1/3'], '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': '2-2366-1.1-c1-0-74', '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': '2-2366-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 4.346562448445317, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.95233551606990059219029172941', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2474879288792899493983769220043', 'Lhash_array': ['2474879288792899493983769220043'], 'label': '2-2366-1.1-c1-0-74', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/2366/2/a/z/1/3'}