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lfunc_lfunctions • Show schema
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{'Lhash': '1424247860981817809920326115431', 'a10': [-0.9354323319700298, 0.0], 'a2': [-0.2541016883650524, 0.0], 'a3': [1.0, 0.0], 'a4': [-1.9354323319700297, 0.0], 'a5': [3.6813306436049773, 0.0], 'a6': [-0.2541016883650524, 0.0], 'a7': [0.0, 0.0], 'a8': [1.0, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 12.911810006841044, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [-1.0, 0]]], [7, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [-1.0, 0]]]], 'bad_primes': [3, 7, 11], 'central_character': '1617.1', 'coefficient_field': 'CDF', 'conductor': 1617, 'conductor_radical': 231, 'degree': 2, 'euler_factors': [[[1.0, 0], [0.2541016883650524, 0], [2.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-3.6813306436049773, 0], [5.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [2.189534020335082, 0], [13.0, 0]], [[1.0, 0], [3.3626612872099546, 0], [17.0, 0]], [[1.0, 0], [-3.6813306436049773, 0], 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'3.24696401115373763317777525917718', '4.61660092151039590712923655750018', '5.09765696056983483513151752258760', '6.20454071047246781426443585209054', '6.90911680735786991415459150148844', '8.115309464806273868669255916328360', '8.756582660688899738211093050144059', '9.410871908325653588396944365211012'], 'prelabel': '2-1617-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.593300711997403, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.12353345687320657718825059207', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.26498340245377359248150975724', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.24696401115373763317777525918', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 12.911810006841044, 'bad_primes': [3, 7, 11], 'central_character': '1.1', 'conductor': 1617, 'conductor_radical': 231, 'degree': 2, 'index': 25, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1617/2/a/r/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': '2-1617-1.1-c1-0-25', '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': '2-1617-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 3.593300711997403, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.12353345687320657718825059207', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1424247860981817809920326115431', 'Lhash_array': ['1424247860981817809920326115431'], 'label': '2-1617-1.1-c1-0-25', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/1617/2/a/r/1/2'}