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lfunc_lfunctions • Show schema
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{'Lhash': '777268403797643164122354944678', 'a10': [-7.343328019879541, 0.0], 'a2': [2.4454333640485184, 0.0], 'a3': [0.0, 0.0], 'a4': [3.9801443380016543, 0.0], 'a5': [-3.0028738986869596, 0.0], 'a6': [0.0, 0.0], 'a7': [-3.891965702733015, 0.0], 'a8': [4.842311029781012, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 78.26137902105694, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [11, [[1.0, 0], [0, 0]]]], 'bad_primes': [3, 11], 'central_character': '9801.1', 'coefficient_field': 'CDF', 'conductor': 9801, 'conductor_radical': 33, 'degree': 2, 'euler_factors': [[[1.0, 0], [-2.4454333640485184, 0], [2.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [3.0028738986869596, 0], [5.0, 0]], [[1.0, 0], [3.891965702733015, 0], [7.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [-0.11581737959767001, 0], [13.0, 0]], [[1.0, 0], [-1.1218349307099795, 0], [17.0, 0]], [[1.0, 0], [1.5782009596624125, 0], [19.0, 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'4.68443170016937752204049367532249', '5.67615536842115726844119727101213', '6.12265071663642261589120608391170', '6.91354814842086717540432005752686', '7.26097559462684831670371192872136'], 'prelabel': '2-99e2-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.846546163393764, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.61315665661949971652943402757', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.26399827008312543451175774534', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.00882033656480243982614304309', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 78.26137902105694, 'bad_primes': [3, 11], 'central_character': '1.1', 'conductor': 9801, 'conductor_radical': 33, 'degree': 2, 'index': 103, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/9801/2/a/co/1/17'], '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': '2-99e2-1.1-c1-0-103', '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': '2-99e2-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.846546163393764, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '0.61315665661949971652943402757', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '777268403797643164122354944678', 'Lhash_array': ['777268403797643164122354944678'], 'label': '2-99e2-1.1-c1-0-103', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/9801/2/a/co/1/17'}