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lfunc_lfunctions • Show schema
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{'Lhash': '1339450057760938098626346173782', 'a10': [0.5104272043769512, 0.0], 'a2': [-0.6113905452035803, 0.0], 'a3': [0.0, 0.0], 'a4': [-1.6262016012356688, 0.0], 'a5': [-0.8348627704195027, 0.0], 'a6': [0.0, 0.0], 'a7': [-0.6854908017070847, 0.0], 'a8': [2.217025373997571, 0.0], 'a9': [0.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 47.934196333374636, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[3, [[1.0, 0], [0, 0]]], [23, [[1.0, 0], [-1.0, 0]]], [29, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [3, 23, 29], 'central_character': '6003.1', 'coefficient_field': 'CDF', 'conductor': 6003, 'conductor_radical': 2001, 'degree': 2, 'euler_factors': [[[1.0, 0], [0.6113905452035803, 0], [2.0, 0]], [[1.0, 0], [0, 0]], [[1.0, 0], [0.8348627704195027, 0], [5.0, 0]], [[1.0, 0], [0.6854908017070847, 0], [7.0, 0]], [[1.0, 0], [-4.309891186342169, 0], [11.0, 0]], [[1.0, 0], [6.936195340731634, 0], [13.0, 0]], [[1.0, 0], 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'4.68182739599019149624575968824930', '5.43583873380101417782104861196091', '6.55837278136367246090194361520998', '7.04190072877200131413349878535572', '7.917809607652377522195900932631232'], 'prelabel': '2-6003-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.923452630976444, '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': '1.05663978506363017765594773771', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.25998822923146979803712789926', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.29689591158343925653426688929', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 47.934196333374636, 'bad_primes': [3, 23, 29], 'central_character': '1.1', 'conductor': 6003, 'conductor_radical': 2001, 'degree': 2, 'index': 132, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6003/2/a/k/1/6'], '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': '2-6003-1.1-c1-0-132', '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': '2-6003-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 6.923452630976444, 'root_angle': 0.5, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.05663978506363017765594773771', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1339450057760938098626346173782', 'Lhash_array': ['1339450057760938098626346173782'], 'label': '2-6003-1.1-c1-0-132', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/6003/2/a/k/1/6'}