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

Formats: - HTML - YAML - JSON - 2026-03-06T18:49:23.084782

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': 43153.62199339725, 'bad_primes': [5, 19], 'central_character': '1.1', 'conductor': 10614726900625, 'conductor_radical': 95, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, -3, -4, 0, -8, 0, -7, 0, -10, 0, 0, 0, 0, 0, 12, 0, 0, 12, 0, 0, -6, 0, 10, 0, 0, 24, 0, 0, 0, 0, 0, 0, 32, 21, 0, 0, 0, 0, 0, 0, 6, 30, 28, 0, 12, 0, 22, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, -20, 0, 56, 15, 0, 0, 0, -36, 0, 0, 0, 0, -4, 0, 0, 0, 80, 0, 0, 0, 20, 0, -44, 0, -48, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 70, -30], 'euler11': [1, 10, 59, 280, 1081, 3080, 7139, 13310, 14641], 'euler13': [1, 0, 42, 0, 759, 0, 7098, 0, 28561], 'euler17': [1, -12, 112, -660, 3246, -11220, 32368, -58956, 83521], 'euler19': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler2': [1, 0, 3, 0, 9, 0, 12, 0, 16], 'euler23': [1, 6, 43, 240, 1761, 5520, 22747, 73002, 279841], 'euler29': [1, 0, 31, 0, 721, 0, 26071, 0, 707281], 'euler3': [1, 0, 7, 0, 29, 0, 63, 0, 81], 'euler31': [1, 0, 119, 0, 5461, 0, 114359, 0, 923521], 'euler37': [1, 0, 63, 0, 2529, 0, 86247, 0, 1874161], 'euler41': [1, 0, 114, 0, 6111, 0, 191634, 0, 2825761], 'euler43': [1, -6, 183, -780, 12041, -33540, 338367, -477042, 3418801], 'euler47': [1, -12, 202, -1560, 14691, -73320, 446218, -1245876, 4879681], 'euler5': [1, 4, 6, 4, 1, 0, 0, 0, 0], 'euler53': [1, 0, 87, 0, 3729, 0, 244383, 0, 7890481], 'euler59': [1, 0, -89, 0, 7741, 0, -309809, 0, 12117361], 'euler61': [1, 20, 234, 2560, 24131, 156160, 870714, 4539620, 13845841], 'euler67': [1, 0, 98, 0, 8959, 0, 439922, 0, 20151121], 'euler7': [1, 8, 42, 160, 491, 1120, 2058, 2744, 2401], 'euler71': [1, 0, 114, 0, 6111, 0, 574674, 0, 25411681], 'euler73': [1, 4, 298, 880, 32851, 64240, 1588042, 1556068, 28398241], 'euler79': [1, 0, 216, 0, 23646, 0, 1348056, 0, 38950081], 'euler83': [1, 44, 1048, 16060, 173646, 1332980, 7219672, 25158628, 47458321], 'euler89': [1, 0, 226, 0, 28591, 0, 1790146, 0, 62742241], 'euler97': [1, 0, 363, 0, 51729, 0, 3415467, 0, 88529281], 'euler_factors': [[1, 0, 3, 0, 9, 0, 12, 0, 16], [1, 0, 7, 0, 29, 0, 63, 0, 81], [1, 4, 6, 4, 1, 0, 0, 0, 0], [1, 8, 42, 160, 491, 1120, 2058, 2744, 2401], [1, 10, 59, 280, 1081, 3080, 7139, 13310, 14641], [1, 0, 42, 0, 759, 0, 7098, 0, 28561], [1, -12, 112, -660, 3246, -11220, 32368, -58956, 83521], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 6, 43, 240, 1761, 5520, 22747, 73002, 279841], [1, 0, 31, 0, 721, 0, 26071, 0, 707281], [1, 0, 119, 0, 5461, 0, 114359, 0, 923521], [1, 0, 63, 0, 2529, 0, 86247, 0, 1874161], [1, 0, 114, 0, 6111, 0, 191634, 0, 2825761], [1, -6, 183, -780, 12041, -33540, 338367, -477042, 3418801], [1, -12, 202, -1560, 14691, -73320, 446218, -1245876, 4879681], [1, 0, 87, 0, 3729, 0, 244383, 0, 7890481], [1, 0, -89, 0, 7741, 0, -309809, 0, 12117361], [1, 20, 234, 2560, 24131, 156160, 870714, 4539620, 13845841], [1, 0, 98, 0, 8959, 0, 439922, 0, 20151121], [1, 0, 114, 0, 6111, 0, 574674, 0, 25411681], [1, 4, 298, 880, 32851, 64240, 1588042, 1556068, 28398241], [1, 0, 216, 0, 23646, 0, 1348056, 0, 38950081], [1, 44, 1048, 16060, 173646, 1332980, 7219672, 25158628, 47458321], [1, 0, 226, 0, 28591, 0, 1790146, 0, 62742241], [1, 0, 363, 0, 51729, 0, 3415467, 0, 88529281]], 'id': 20368130, 'index': 3, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1805/2/a/l'], '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': '8-1805e4-1.1-c1e4-0-3', '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': 4, 'prelabel': '8-1805e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.7964453854679796, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 801064477104425623, 'z1': {'__RealLiteral__': 0, 'data': '0.877302181015217455908674217002', 'prec': 107}}