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

Formats: - HTML - YAML - JSON - 2025-12-07T07:26:07.665972

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': 88495.95752116549, 'bad_primes': [2, 3, 5], 'central_character': '1.1', 'conductor': 21767823360000, 'conductor_radical': 30, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0, 10, 0, 1, 0, 0, 0, 6, 0, 12, 0, 0, 0, -4, 0, -24, 0, 0, 0, -10, 0, 4, 0, 0, 0, 14, 0, 9, 0, 0, 0, 8, 0, 0, 0, 0, 0, 12, 0, 6, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -4, 0, 0, 0, 6, 0, -16, 0, 0, 0, 28, 0, 0, 0, 0, 0, -16, 0, -4, 0, 0, 0], 'euler11': [1, 0, -22, 0, 363, 0, -2662, 0, 14641], 'euler13': [1, 0, -26, 0, 507, 0, -4394, 0, 28561], 'euler17': [1, -8, 92, -440, 2566, -7480, 26588, -39304, 83521], 'euler19': [1, -8, 52, -296, 1654, -5624, 18772, -54872, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, -10, 35, -190, 1396, -4370, 18515, -121670, 279841], 'euler29': [1, -6, -7, 90, -36, 2610, -5887, -146334, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, -12, 70, -144, 51, -4464, 67270, -357492, 923521], 'euler37': [1, 24, 364, 3528, 25494, 130536, 498316, 1215672, 1874161], 'euler41': [1, 10, 17, 10, 1108, 410, 28577, 689210, 2825761], 'euler43': [1, -4, 22, 368, -2501, 15824, 40678, -318028, 3418801], 'euler47': [1, -14, 59, -602, 7348, -28294, 130331, -1453522, 4879681], 'euler5': [1, 2, 3, 2, 1, 0, 0, 0, 0], 'euler53': [1, -8, 44, -536, 7510, -28408, 123596, -1191016, 7890481], 'euler59': [1, -12, 14, -144, 4923, -8496, 48734, -2464548, 12117361], 'euler61': [1, -6, -95, -54, 11244, -3294, -353495, -1361886, 13845841], 'euler67': [1, 2, 19, -298, -4532, -19966, 85291, 601526, 20151121], 'euler7': [1, -2, -5, 10, 4, 70, -245, -686, 2401], 'euler71': [1, 0, 92, 0, 12198, 0, 463772, 0, 25411681], 'euler73': [1, -16, 196, -2224, 24358, -162352, 1044484, -6224272, 28398241], 'euler79': [1, 4, -122, -80, 11539, -6320, -761402, 1972156, 38950081], 'euler83': [1, -6, -133, -18, 18684, -1494, -916237, -3430722, 47458321], 'euler89': [1, -28, 458, -6160, 67891, -548240, 3627818, -19739132, 62742241], 'euler97': [1, 4, -182, 16, 28243, 1552, -1712438, 3650692, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 3, 2, 1, 0, 0, 0, 0], [1, -2, -5, 10, 4, 70, -245, -686, 2401], [1, 0, -22, 0, 363, 0, -2662, 0, 14641], [1, 0, -26, 0, 507, 0, -4394, 0, 28561], [1, -8, 92, -440, 2566, -7480, 26588, -39304, 83521], [1, -8, 52, -296, 1654, -5624, 18772, -54872, 130321], [1, -10, 35, -190, 1396, -4370, 18515, -121670, 279841], [1, -6, -7, 90, -36, 2610, -5887, -146334, 707281], [1, -12, 70, -144, 51, -4464, 67270, -357492, 923521], [1, 24, 364, 3528, 25494, 130536, 498316, 1215672, 1874161], [1, 10, 17, 10, 1108, 410, 28577, 689210, 2825761], [1, -4, 22, 368, -2501, 15824, 40678, -318028, 3418801], [1, -14, 59, -602, 7348, -28294, 130331, -1453522, 4879681], [1, -8, 44, -536, 7510, -28408, 123596, -1191016, 7890481], [1, -12, 14, -144, 4923, -8496, 48734, -2464548, 12117361], [1, -6, -95, -54, 11244, -3294, -353495, -1361886, 13845841], [1, 2, 19, -298, -4532, -19966, 85291, 601526, 20151121], [1, 0, 92, 0, 12198, 0, 463772, 0, 25411681], [1, -16, 196, -2224, 24358, -162352, 1044484, -6224272, 28398241], [1, 4, -122, -80, 11539, -6320, -761402, 1972156, 38950081], [1, -6, -133, -18, 18684, -1494, -916237, -3430722, 47458321], [1, -28, 458, -6160, 67891, -548240, 3627818, -19739132, 62742241], [1, 4, -182, 16, 28243, 1552, -1712438, 3650692, 88529281]], 'id': 23255006, 'index': 19, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/2160/2/q/g'], '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': '8-2160e4-1.1-c1e4-0-19', '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': '8-2160e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.153033449973233, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 227055955521648160, 'z1': {'__RealLiteral__': 0, 'data': '0.61220779306442116758033154828', 'prec': 103}}