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

Formats: - HTML - YAML - JSON - 2026-03-05T20:18:36.469465

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': 5717.681335377052, 'bad_primes': [3, 11], 'central_character': '1.1', 'conductor': 1406408618241, 'conductor_radical': 33, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, -1, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, -6, 0, 0, -14, 0, 0, 0, 0, 0, -13, 0, 0, 8, 0, 0, -14, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 22, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 9, 0, 0, 2, 0, 0, 0, 0, 0, -8, 0, 0, 14, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -2, 0, 0, 13], 'euler11': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler13': [1, 8, 66, 304, 1379, 3952, 11154, 17576, 28561], 'euler17': [1, 0, -5, 0, 583, 0, -1445, 0, 83521], 'euler19': [1, 14, 147, 952, 4985, 18088, 53067, 96026, 130321], 'euler2': [1, 0, 1, 0, 7, 0, 4, 0, 16], 'euler23': [1, 0, 20, 0, 753, 0, 10580, 0, 279841], 'euler29': [1, 0, 64, 0, 2206, 0, 53824, 0, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 14, 195, 1456, 10289, 45136, 187395, 417074, 923521], 'euler37': [1, -16, 234, -1952, 14699, -72224, 320346, -810448, 1874161], 'euler41': [1, 0, 124, 0, 7081, 0, 208444, 0, 2825761], 'euler43': [1, 16, 178, 1600, 12451, 68800, 329122, 1272112, 3418801], 'euler47': [1, 0, 175, 0, 12043, 0, 386575, 0, 4879681], 'euler5': [1, 0, 13, 0, 91, 0, 325, 0, 625], 'euler53': [1, 0, 127, 0, 8119, 0, 356743, 0, 7890481], 'euler59': [1, 0, 109, 0, 9871, 0, 379429, 0, 12117361], 'euler61': [1, 14, 195, 1876, 18749, 114436, 725595, 3177734, 13845841], 'euler67': [1, -2, 247, -380, 24241, -25460, 1108783, -601526, 20151121], 'euler7': [1, 8, 42, 160, 491, 1120, 2058, 2744, 2401], 'euler71': [1, 0, 109, 0, 12271, 0, 549469, 0, 25411681], 'euler73': [1, 8, 276, 1624, 29894, 118552, 1470804, 3112136, 28398241], 'euler79': [1, 20, 426, 4840, 54851, 382360, 2658666, 9860780, 38950081], 'euler83': [1, 0, 244, 0, 28057, 0, 1680916, 0, 47458321], 'euler89': [1, 0, -4, 0, 5721, 0, -31684, 0, 62742241], 'euler97': [1, 2, 87, 280, 20861, 27160, 818583, 1825346, 88529281], 'euler_factors': [[1, 0, 1, 0, 7, 0, 4, 0, 16], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 13, 0, 91, 0, 325, 0, 625], [1, 8, 42, 160, 491, 1120, 2058, 2744, 2401], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 8, 66, 304, 1379, 3952, 11154, 17576, 28561], [1, 0, -5, 0, 583, 0, -1445, 0, 83521], [1, 14, 147, 952, 4985, 18088, 53067, 96026, 130321], [1, 0, 20, 0, 753, 0, 10580, 0, 279841], [1, 0, 64, 0, 2206, 0, 53824, 0, 707281], [1, 14, 195, 1456, 10289, 45136, 187395, 417074, 923521], [1, -16, 234, -1952, 14699, -72224, 320346, -810448, 1874161], [1, 0, 124, 0, 7081, 0, 208444, 0, 2825761], [1, 16, 178, 1600, 12451, 68800, 329122, 1272112, 3418801], [1, 0, 175, 0, 12043, 0, 386575, 0, 4879681], [1, 0, 127, 0, 8119, 0, 356743, 0, 7890481], [1, 0, 109, 0, 9871, 0, 379429, 0, 12117361], [1, 14, 195, 1876, 18749, 114436, 725595, 3177734, 13845841], [1, -2, 247, -380, 24241, -25460, 1108783, -601526, 20151121], [1, 0, 109, 0, 12271, 0, 549469, 0, 25411681], [1, 8, 276, 1624, 29894, 118552, 1470804, 3112136, 28398241], [1, 20, 426, 4840, 54851, 382360, 2658666, 9860780, 38950081], [1, 0, 244, 0, 28057, 0, 1680916, 0, 47458321], [1, 0, -4, 0, 5721, 0, -31684, 0, 62742241], [1, 2, 87, 280, 20861, 27160, 818583, 1825346, 88529281]], 'id': 20368853, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1089/2/a/v'], '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': '8-33e8-1.1-c1e4-0-10', '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': '8-33e8-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 2.948848721131255, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 2104246186753119020, 'z1': {'__RealLiteral__': 0, 'data': '1.55206247761221413963865314443', 'prec': 103}}