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{'Lhash': '566827177322510223121864823265,713301407112864533306953162084,1803693622612572571726215123792,2880336029907867324306014095571', 'a10': 0, 'a2': 0, 'a3': 0, 'a4': 0, 'a5': 0, 'a6': 0, 'a7': -4, 'a8': 0, 'a9': -4, 'accuracy': 100, 'algebraic': True, 'analytic_conductor': 2812.4692406927743, 'analytic_normalization': {'__RealLiteral__': 0, 'data': '0.5', 'prec': 10}, 'bad_lfactors': [[2, [1]], [3, [1, 0, 4, 0, 9]], [19, [1, 12, 74, 228, 361]]], 'bad_primes': [2, 3, 19], 'central_character': '912.1', 'coefficient_field': '1.1.1.1', 'conductor': 691798081536, 'conductor_radical': 114, 'degree': 8, 'euler_factors': [[1], [1, 0, 4, 0, 9], [1, 0, -10, 0, 75, 0, -250, 0, 625], [1, 4, 34, 88, 379, 616, 1666, 1372, 2401], [1, 0, -34, 0, 531, 0, -4114, 0, 14641], [1, 0, -32, 0, 594, 0, -5408, 0, 28561], [1, 0, 22, 0, 699, 0, 6358, 0, 83521], [1, 12, 74, 228, 361], [1, 0, -52, 0, 1734, 0, -27508, 0, 279841], [1, 0, 52, 0, 2358, 0, 43732, 0, 707281], [1, 0, -104, 0, 4626, 0, -99944, 0, 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'root_analytic_conductor': 2.698584196266771, 'root_angle': 0.0, 'root_number': '1', 'self_dual': True, 'sign_arg': {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, 'spectral_label': 'c1e4-0', 'trace_hash': 2158670693133971152, 'types': ['CMF'], 'z1': {'__RealLiteral__': 0, 'data': '0.44714780020650638930014820179', 'prec': 103}, 'z2': {'__RealLiteral__': 0, 'data': '0.56269559371047578467566630843', 'prec': 103}, 'z3': {'__RealLiteral__': 0, 'data': '1.42286338387552004725334514200', 'prec': 103}}
-
lfunc_search • Show schema
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{'algebraic': True, 'analytic_conductor': 2812.4692406927743, 'bad_primes': [2, 3, 19], 'central_character': '1.1', 'conductor': 691798081536, 'conductor_radical': 114, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, -34, 0, 531, 0, -4114, 0, 14641], 'euler13': [1, 0, -32, 0, 594, 0, -5408, 0, 28561], 'euler17': [1, 0, 22, 0, 699, 0, 6358, 0, 83521], 'euler19': [1, 12, 74, 228, 361, 0, 0, 0, 0], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -52, 0, 1734, 0, -27508, 0, 279841], 'euler29': [1, 0, 52, 0, 2358, 0, 43732, 0, 707281], 'euler3': [1, 0, 4, 0, 9, 0, 0, 0, 0], 'euler31': [1, 0, -104, 0, 4626, 0, -99944, 0, 923521], 'euler37': [1, 0, 32, 0, 2994, 0, 43808, 0, 1874161], 'euler41': [1, 0, -32, 0, 3618, 0, -53792, 0, 2825761], 'euler43': [1, -20, 322, -3080, 24619, -132440, 595378, -1590140, 3418801], 'euler47': [1, 0, -178, 0, 12339, 0, -393202, 0, 4879681], 'euler5': [1, 0, -10, 0, 75, 0, -250, 0, 625], 'euler53': [1, 0, 176, 0, 13362, 0, 494384, 0, 7890481], 'euler59': [1, 0, 232, 0, 20418, 0, 807592, 0, 12117361], 'euler61': [1, 4, 250, 736, 23059, 44896, 930250, 907924, 13845841], 'euler67': [1, 0, -188, 0, 17814, 0, -843932, 0, 20151121], 'euler7': [1, 4, 34, 88, 379, 616, 1666, 1372, 2401], 'euler71': [1, 0, 248, 0, 25458, 0, 1250168, 0, 25411681], 'euler73': [1, 12, 346, 2736, 39939, 199728, 1843834, 4668204, 28398241], 'euler79': [1, 0, 4, 0, 12486, 0, 24964, 0, 38950081], 'euler83': [1, 0, -172, 0, 21174, 0, -1184908, 0, 47458321], 'euler89': [1, 0, 32, 0, 16098, 0, 253472, 0, 62742241], 'euler97': [1, 0, -368, 0, 52674, 0, -3462512, 0, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 4, 0, 9, 0, 0, 0, 0], [1, 0, -10, 0, 75, 0, -250, 0, 625], [1, 4, 34, 88, 379, 616, 1666, 1372, 2401], [1, 0, -34, 0, 531, 0, -4114, 0, 14641], [1, 0, -32, 0, 594, 0, -5408, 0, 28561], [1, 0, 22, 0, 699, 0, 6358, 0, 83521], [1, 12, 74, 228, 361, 0, 0, 0, 0], [1, 0, -52, 0, 1734, 0, -27508, 0, 279841], [1, 0, 52, 0, 2358, 0, 43732, 0, 707281], [1, 0, -104, 0, 4626, 0, -99944, 0, 923521], [1, 0, 32, 0, 2994, 0, 43808, 0, 1874161], [1, 0, -32, 0, 3618, 0, -53792, 0, 2825761], [1, -20, 322, -3080, 24619, -132440, 595378, -1590140, 3418801], [1, 0, -178, 0, 12339, 0, -393202, 0, 4879681], [1, 0, 176, 0, 13362, 0, 494384, 0, 7890481], [1, 0, 232, 0, 20418, 0, 807592, 0, 12117361], [1, 4, 250, 736, 23059, 44896, 930250, 907924, 13845841], [1, 0, -188, 0, 17814, 0, -843932, 0, 20151121], [1, 0, 248, 0, 25458, 0, 1250168, 0, 25411681], [1, 12, 346, 2736, 39939, 199728, 1843834, 4668204, 28398241], [1, 0, 4, 0, 12486, 0, 24964, 0, 38950081], [1, 0, -172, 0, 21174, 0, -1184908, 0, 47458321], [1, 0, 32, 0, 16098, 0, 253472, 0, 62742241], [1, 0, -368, 0, 52674, 0, -3462512, 0, 88529281]], 'index': 7, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/912/2/f/f'], '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': '8-912e4-1.1-c1e4-0-7', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '8-912e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.698584196266771, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 2158670693133971152, 'z1': {'__RealLiteral__': 0, 'data': '0.44714780020650638930014820179', 'prec': 103}}
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{'Lhash': '566827177322510223121864823265,713301407112864533306953162084,1803693622612572571726215123792,2880336029907867324306014095571', 'Lhash_array': ['566827177322510223121864823265', '713301407112864533306953162084', '1803693622612572571726215123792', '2880336029907867324306014095571'], 'label': '8-912e4-1.1-c1e4-0-7', 'type': 'CMF', 'url': 'ModularForm/GL2/Q/holomorphic/912/2/f/f'}