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lfunc_lfunctions • Show schema
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{'Lhash': '2605420671077592672302072121526', 'a10': [4.832790757776853, 0.6404319786808382], 'a2': [1.0640549120767853, -0.9315509347777313], 'a3': [1.3117397891131692, -1.1310785674113615], 'a4': [0.2644257118294701, -1.9824426959999317], 'a5': [2.2728798682250315, 2.591722770379304], 'a6': [0.3421058691933231, -2.4254821323323497], 'a7': [-1.6046804318042245, -0.211260186676647], 'a8': [-1.565382869050474, -2.355753907623482], 'a9': [0.44132254868532395, -2.9673615229732104], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 4.599383156425752, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0640549120767853, 0.9315509347777313]]], [3, [[1.0, 0], [-1.3117397891131692, 1.1310785674113615]]]], 'bad_primes': [2, 3], 'central_character': '576.205', 'coefficient_field': 'CDF', 'conductor': 576, 'conductor_radical': 6, 'conjugate': '2017099717201677039049564740864', 'degree': 2, 'euler_factors': [[[1.0, 0], 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0.42709328111484757, 'root_number': '0.22704582743960208 + 0.9738840753612652*I', 'self_dual': False, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.213546640557', 'prec': 47}, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '2.05531450906780580706547721358', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '3.47723884640923923288855372585', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '4.28890407241168593739325267434', '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': '576.205', 'conductor': 576, 'conductor_radical': 6, 'degree': 2, 'index': 76, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/576/2/bm/a/205/73'], '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': '2-24e2-576.205-c1-0-76', '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': '2-24e2-576.205-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.144617251731822, 'root_angle': 0.21354664055742378, 'self_dual': False, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '2.05531450906780580706547721358', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '2605420671077592672302072121526', 'Lhash_array': ['2605420671077592672302072121526'], 'label': '2-24e2-576.205-c1-0-76', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/576/2/bm/a/205/73'}