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lfunc_lfunctions • Show schema
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{'Lhash': '3093719661734706914649527032450', 'a10': [-4.269080137343765, 0.0], 'a2': [0.0, 2.0], 'a3': [5.865459931328117, 0.0], 'a4': [-4.0, 0.0], 'a5': [0.0, 2.1345400686718823], 'a6': [0.0, 11.730919862656235], 'a7': [0.0, 3.8654599313281177], 'a8': [0.0, -8.0], 'a9': [7.403620206015647, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 1.5340496601492566, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '1.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, -2.0]]], [13, [[1.0, 0], [34.86545993132812, 31.327299656640587]]]], 'bad_primes': [2, 13], 'central_character': '26.25', 'coefficient_field': 'CDF', 'conductor': 26, 'conductor_radical': 26, 'conjugate': '4183062819129458848701122038290', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, -2.0]], [[1.0, 0], [-5.865459931328117, 0], [27.0, 0]], [[1.0, 0], [0, -2.1345400686718823], [-125.0, 0]], [[1.0, 0], [0, -3.8654599313281177], [-343.0, 0]], [[1.0, 0], [0, 53.19275958796871], [-1331.0, 0]], [[1.0, 0], 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'7.41660573536672553267243002526', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 1.5340496601492566, 'bad_primes': [2, 13], 'central_character': '13.12', 'conductor': 26, 'conductor_radical': 26, 'degree': 2, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/26/4/b/a/25/4'], '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': '2-26-13.12-c3-0-1', 'motivic_weight': 3, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [3], 'order_of_vanishing': 0, 'prelabel': '2-26-13.12-c3-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 1.2385675840055141, 'root_angle': -0.13349912157997315, 'self_dual': False, 'spectral_label': 'c3-0', 'z1': {'__RealLiteral__': 0, 'data': '2.44051449285608333447793341671', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '3093719661734706914649527032450', 'Lhash_array': ['3093719661734706914649527032450'], 'label': '2-26-13.12-c3-0-1', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/26/4/b/a/25/4'}