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lfunc_lfunctions • Show schema
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{'Lhash': '1816525629709978175548714685765', 'a10': [0.0, 0.0], 'a2': [0.0, 0.0], 'a3': [0.8000647195934718, 1.5361954447471258], 'a4': [0.0, 0.0], 'a5': [3.7342398456531853, -1.0005865509868912], 'a6': [0.0, 0.0], 'a7': [1.6823601600153262, 2.913933273776251], 'a8': [0.0, 0.0], 'a9': [-1.719792888923639, 2.4581115554847557], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.599383156425752, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [0, 0]]], [3, [[1.0, 0], [-0.8000647195934718, -1.5361954447471258]]]], 'bad_primes': [2, 3], 'central_character': '576.239', 'coefficient_field': 'CDF', 'conductor': 576, 'conductor_radical': 6, 'conjugate': '2579127112939221213623352537628', 'degree': 2, 'euler_factors': [[[1.0, 0], [0, 0]], [[1.0, 0], [-0.8000647195934718, -1.5361954447471258]], [[1.0, 0], [-3.7342398456531853, 1.0005865509868912], [4.330127018922194, -2.5]], [[1.0, 0], [-1.6823601600153262, -2.913933273776251], 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'group': 'GL2', 'index': 11, 'label': '2-24e2-144.131-c1-0-11', 'load_key': 'CMFs-workshop', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'origin': 'ModularForm/GL2/Q/holomorphic/576/2/y/a/239/15', 'plot_delta': {'__RealLiteral__': 0, 'data': '0.125', 'prec': 17}, 'plot_values': [2.2197362756595367, 2.1161562828376583, 2.010750246477984, 1.896492575879054, 1.7651104727828284, 1.6089084290158642, 1.422391184481052, 1.2035285692833075, 0.9546181158581645, 0.6827345903199714, 0.39974296895153066, 0.12183418505552751, -0.13145491451711544, -0.338747566394235, -0.4788172612360579, -0.5329522070378391, -0.487509779660177, -0.3364073114642933, -0.08324356005260247, 0.2572774594057534, 0.6589316492556114, 1.0848171421504083, 1.4895910088885556, 1.823084563888138, 2.035099190133283, 2.0809932489943237, 1.927496011818575, 1.5580552995899821, 0.9769692471550185, 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'8.804794972834397283752937043723802', '9.858773836976792087662631201507576', '10.38899154044749681887574870645363'], 'prelabel': '2-24e2-144.131-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.144617251731822, 'root_angle': -0.3137859682868148, 'root_number': '0.5522065806010373 - 0.8337073181524258*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '-0.156892984143', 'prec': 50}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.43298605261018188009248733301', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '2.28337247768989350852916590186', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '3.65580065690701510495747173769', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 4.599383156425752, 'bad_primes': [2, 3], 'central_character': '144.131', 'conductor': 576, 'conductor_radical': 6, 'degree': 2, 'index': 11, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/576/2/y/a/239/15'], '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': '2-24e2-144.131-c1-0-11', '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': '2-24e2-144.131-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.144617251731822, 'root_angle': -0.1568929841434074, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.43298605261018188009248733301', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1816525629709978175548714685765', 'Lhash_array': ['1816525629709978175548714685765'], 'label': '2-24e2-144.131-c1-0-11', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/576/2/y/a/239/15'}