Database - lfunc_search ((description not yet updated on this server))

Formats: - HTML - YAML - JSON - 2026-03-03T04:42:31.751123

Query: /api/lfunc_search/?_offset=0

Column	Type
algebraic	boolean
analytic_conductor	double precision
bad_primes	bigint[]
central_character	text
conductor	numeric
conductor_radical	bigint
degree	smallint
dirichlet_coefficients	numeric[]
euler11	numeric[]
euler13	numeric[]
euler17	numeric[]
euler19	numeric[]
euler2	numeric[]
euler23	numeric[]
euler29	numeric[]
euler3	numeric[]
euler31	numeric[]
euler37	numeric[]
euler41	numeric[]
euler43	numeric[]
euler47	numeric[]
euler5	numeric[]
euler53	numeric[]
euler59	numeric[]
euler61	numeric[]
euler67	numeric[]
euler7	numeric[]
euler71	numeric[]
euler73	numeric[]
euler79	numeric[]
euler83	numeric[]
euler89	numeric[]
euler97	numeric[]
euler_factors	numeric[]
index	smallint
instance_types	text[]
instance_urls	text[]
is_instance_Artin	boolean
is_instance_BMF	boolean
is_instance_CMF	boolean
is_instance_DIR	boolean
is_instance_ECNF	boolean
is_instance_ECQ	boolean
is_instance_G2Q	boolean
is_instance_HMF	boolean
is_instance_MaassGL3	boolean
is_instance_MaassGL4	boolean
is_instance_MaassGSp4	boolean
is_instance_NF	boolean
label	text
motivic_weight	smallint
mu_imag	numeric[]
mu_real	smallint[]
nu_imag	numeric[]
nu_real_doubled	smallint[]
order_of_vanishing	smallint
prelabel	text
primitive	boolean
rational	boolean
root_analytic_conductor	double precision
root_angle	double precision
self_dual	boolean
spectral_label	text
trace_hash	bigint
z1	numeric

{'algebraic': True, 'analytic_conductor': 1412.766149041991, 'bad_primes': [3, 5], 'central_character': '1.1', 'conductor': 2562890625, 'conductor_radical': 15, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -472, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'euler11': [1, 0, 484, 0, 87846, 0, 7086244, 0, 214358881], 'euler13': [1, 0, 0, 0, 57122, 0, 0, 0, 815730721], 'euler17': [1, 0, 0, 0, -21118, 0, 0, 0, 6975757441], 'euler19': [1, 0, -476, 0, 317286, 0, -62032796, 0, 16983563041], 'euler2': [1, 0, 0, 0, 17, 0, 0, 0, 256], 'euler23': [1, 0, 0, 0, -550078, 0, 0, 0, 78310985281], 'euler29': [1, 0, -3364, 0, 4243686, 0, -2379293284, 0, 500246412961], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 8, 3868, 23096, 5587270, 22195256, 3572179228, 7100029448, 852891037441], 'euler37': [1, 0, 0, 0, 3748322, 0, 0, 0, 3512479453921], 'euler41': [1, 0, 6724, 0, 16954566, 0, 19000416964, 0, 7984925229121], 'euler43': [1, 0, 0, 0, 6837602, 0, 0, 0, 11688200277601], 'euler47': [1, 0, 0, 0, 8065922, 0, 0, 0, 23811286661761], 'euler5': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler53': [1, 0, 0, 0, -12619678, 0, 0, 0, 62259690411361], 'euler59': [1, 0, -13924, 0, 72704166, 0, -168722134564, 0, 146830437604321], 'euler61': [1, 472, 98428, 11841064, 898687270, 44060599144, 1362818437948, 24317616698392, 191707312997281], 'euler67': [1, 0, 0, 0, 40302242, 0, 0, 0, 406067677556641], 'euler7': [1, 0, 0, 0, 4802, 0, 0, 0, 5764801], 'euler71': [1, 0, 20164, 0, 152470086, 0, 512401135684, 0, 645753531245761], 'euler73': [1, 0, 0, 0, 56796482, 0, 0, 0, 806460091894081], 'euler79': [1, 0, -5756, 0, 86183046, 0, -224196666236, 0, 1517108809906561], 'euler83': [1, 0, 0, 0, 3847202, 0, 0, 0, 2252292232139041], 'euler89': [1, 0, -31684, 0, 376453446, 0, -1987925163844, 0, 3936588805702081], 'euler97': [1, 0, 0, 0, 177058562, 0, 0, 0, 7837433594376961], 'euler_factors': [[1, 0, 0, 0, 17, 0, 0, 0, 256], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 4802, 0, 0, 0, 5764801], [1, 0, 484, 0, 87846, 0, 7086244, 0, 214358881], [1, 0, 0, 0, 57122, 0, 0, 0, 815730721], [1, 0, 0, 0, -21118, 0, 0, 0, 6975757441], [1, 0, -476, 0, 317286, 0, -62032796, 0, 16983563041], [1, 0, 0, 0, -550078, 0, 0, 0, 78310985281], [1, 0, -3364, 0, 4243686, 0, -2379293284, 0, 500246412961], [1, 8, 3868, 23096, 5587270, 22195256, 3572179228, 7100029448, 852891037441], [1, 0, 0, 0, 3748322, 0, 0, 0, 3512479453921], [1, 0, 6724, 0, 16954566, 0, 19000416964, 0, 7984925229121], [1, 0, 0, 0, 6837602, 0, 0, 0, 11688200277601], [1, 0, 0, 0, 8065922, 0, 0, 0, 23811286661761], [1, 0, 0, 0, -12619678, 0, 0, 0, 62259690411361], [1, 0, -13924, 0, 72704166, 0, -168722134564, 0, 146830437604321], [1, 472, 98428, 11841064, 898687270, 44060599144, 1362818437948, 24317616698392, 191707312997281], [1, 0, 0, 0, 40302242, 0, 0, 0, 406067677556641], [1, 0, 20164, 0, 152470086, 0, 512401135684, 0, 645753531245761], [1, 0, 0, 0, 56796482, 0, 0, 0, 806460091894081], [1, 0, -5756, 0, 86183046, 0, -224196666236, 0, 1517108809906561], [1, 0, 0, 0, 3847202, 0, 0, 0, 2252292232139041], [1, 0, -31684, 0, 376453446, 0, -1987925163844, 0, 3936588805702081], [1, 0, 0, 0, 177058562, 0, 0, 0, 7837433594376961]], 'id': 10852264, 'index': 4, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/225/3/g/c'], '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': '8-15e8-1.1-c2e4-0-4', 'motivic_weight': 2, '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': [2, 2, 2, 2], 'order_of_vanishing': 0, 'prelabel': '8-15e8-1.1-c2e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.4760464349657663, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c2e4-0', 'trace_hash': 1185946993827424865, 'z1': {'__RealLiteral__': 0, 'data': '0.22981660182098228922443903012', 'prec': 103}}