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lfunc_lfunctions • Show schema
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{'Lhash': '1466045374903306370224924293509', 'a10': [0.5428135501338208, 0.0], 'a2': [1.0, 0.0], 'a3': [1.0, 0.0], 'a4': [1.0, 0.0], 'a5': [0.5428135501338208, 0.0], 'a6': [1.0, 0.0], 'a7': [3.055645994587505, 0.0], 'a8': [1.0, 0.0], 'a9': [1.0, 0.0], 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 64.15181298389669, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [[1.0, 0], [-1.0, 0]]], [3, [[1.0, 0], [-1.0, 0]]], [13, [[1.0, 0], [-1.0, 0]]], [103, [[1.0, 0], [1.0, 0]]]], 'bad_primes': [2, 3, 13, 103], 'central_character': '8034.1', 'coefficient_field': 'CDF', 'conductor': 8034, 'conductor_radical': 8034, 'degree': 2, 'euler_factors': [[[1.0, 0], [-1.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-0.5428135501338208, 0], [5.0, 0]], [[1.0, 0], [-3.055645994587505, 0], [7.0, 0]], [[1.0, 0], [-0.6329852903201013, 0], [11.0, 0]], [[1.0, 0], [-1.0, 0]], [[1.0, 0], [-2.7540345812909997, 0], [17.0, 0]], [[1.0, 0], [-2.055645994587505, 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'3.55091694304918479927647143379441', '4.25505477656355754879549437579472', '5.09104022267744527139926383700622', '5.50571300573079553582870664778569', '6.44024572221524509076160386752068', '7.16124026537360449260469914121381', '7.939593587322430587966672257911212'], 'prelabel': '2-8034-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.009482691403777, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': 0, 'spectral_label': 'c1-0', 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '1.15650588154129988583079303193', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '1.84307120409156599799924718698', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '2.76770890403939738277659869425', 'prec': 103}}
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lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 64.15181298389669, 'bad_primes': [2, 3, 13, 103], 'central_character': '1.1', 'conductor': 8034, 'conductor_radical': 8034, 'degree': 2, 'index': 126, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/8034/2/a/v/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': '2-8034-1.1-c1-0-126', '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': '2-8034-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 8.009482691403777, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.15650588154129988583079303193', 'prec': 103}}
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lfunc_instances • Show schema
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{'Lhash': '1466045374903306370224924293509', 'Lhash_array': ['1466045374903306370224924293509'], 'label': '2-8034-1.1-c1-0-126', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/8034/2/a/v/1/6'}