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

Formats: - HTML - YAML - JSON - 2026-03-09T18:32:46.341092

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': 94.05174466820122, 'bad_primes': [2, 3, 5, 13], 'central_character': '1.1', 'conductor': 23134410000, 'conductor_radical': 390, 'degree': 8, 'dirichlet_coefficients': [1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 12, 2, 4, 0, 0, 0, 8, 0, 12, 0, 0, 0, -4, 0, -2, 0, -2, 0, -4, 0, 0, 0, 24, 0, 0, 1, 18, 0, 8, 0, 0, 0, -10, 12, 0, 0, 0, 0, -10, 0, 16, 4, -24, 0, 0, 0, 24, 0, 12, 0, 0, 0, 0, -1, 0, 0, -12, 8, -8, 0, -36, 0, 0, 0, -4, 12, 0, 0, -28, 0, -4, 0, 0, 0, 0, 0, -8, 0, 12, 0, 0, -4, 0, 0, 0, 0, -12, 0, 12, -2], 'euler11': [1, -12, 73, -300, 1032, -3300, 8833, -15972, 14641], 'euler13': [1, -4, 30, -52, 169, 0, 0, 0, 0], 'euler17': [1, -8, 14, -128, 1123, -2176, 4046, -39304, 83521], 'euler19': [1, -12, 82, -408, 1707, -7752, 29602, -82308, 130321], 'euler2': [1, 0, -1, 0, 1, 0, 0, 0, 0], 'euler23': [1, 4, -31, 4, 1312, 92, -16399, 48668, 279841], 'euler29': [1, 4, -43, 4, 2176, 116, -36163, 97556, 707281], 'euler3': [1, -2, 3, -2, 1, 0, 0, 0, 0], 'euler31': [1, 0, -118, 0, 5403, 0, -113398, 0, 923521], 'euler37': [1, -18, 193, -1530, 9852, -56610, 264217, -911754, 1874161], 'euler41': [1, 0, 78, 0, 4403, 0, 131118, 0, 2825761], 'euler43': [1, 10, 37, -230, -2180, -9890, 68413, 795070, 3418801], 'euler47': [1, 0, -66, 0, 3155, 0, -145794, 0, 4879681], 'euler5': [1, 0, 2, 0, 1, 0, 0, 0, 0], 'euler53': [1, 24, 332, 3528, 29718, 186984, 932588, 3573048, 7890481], 'euler59': [1, -12, 153, -1260, 10376, -74340, 532593, -2464548, 12117361], 'euler61': [1, 0, -14, 0, -3525, 0, -52094, 0, 13845841], 'euler67': [1, 12, 130, 984, 5451, 65928, 583570, 3609156, 20151121], 'euler7': [1, 0, 10, 0, 51, 0, 490, 0, 2401], 'euler71': [1, 36, 678, 8856, 86147, 628776, 3417798, 12884796, 25411681], 'euler73': [1, 0, -284, 0, 30822, 0, -1513436, 0, 28398241], 'euler79': [1, 28, 514, 6664, 68731, 526456, 3207874, 13805092, 38950081], 'euler83': [1, 0, -228, 0, 26006, 0, -1570692, 0, 47458321], 'euler89': [1, -12, 222, -2088, 26627, -185832, 1758462, -8459628, 62742241], 'euler97': [1, 12, 238, 2280, 31347, 221160, 2239342, 10952076, 88529281], 'euler_factors': [[1, 0, -1, 0, 1, 0, 0, 0, 0], [1, -2, 3, -2, 1, 0, 0, 0, 0], [1, 0, 2, 0, 1, 0, 0, 0, 0], [1, 0, 10, 0, 51, 0, 490, 0, 2401], [1, -12, 73, -300, 1032, -3300, 8833, -15972, 14641], [1, -4, 30, -52, 169, 0, 0, 0, 0], [1, -8, 14, -128, 1123, -2176, 4046, -39304, 83521], [1, -12, 82, -408, 1707, -7752, 29602, -82308, 130321], [1, 4, -31, 4, 1312, 92, -16399, 48668, 279841], [1, 4, -43, 4, 2176, 116, -36163, 97556, 707281], [1, 0, -118, 0, 5403, 0, -113398, 0, 923521], [1, -18, 193, -1530, 9852, -56610, 264217, -911754, 1874161], [1, 0, 78, 0, 4403, 0, 131118, 0, 2825761], [1, 10, 37, -230, -2180, -9890, 68413, 795070, 3418801], [1, 0, -66, 0, 3155, 0, -145794, 0, 4879681], [1, 24, 332, 3528, 29718, 186984, 932588, 3573048, 7890481], [1, -12, 153, -1260, 10376, -74340, 532593, -2464548, 12117361], [1, 0, -14, 0, -3525, 0, -52094, 0, 13845841], [1, 12, 130, 984, 5451, 65928, 583570, 3609156, 20151121], [1, 36, 678, 8856, 86147, 628776, 3417798, 12884796, 25411681], [1, 0, -284, 0, 30822, 0, -1513436, 0, 28398241], [1, 28, 514, 6664, 68731, 526456, 3207874, 13805092, 38950081], [1, 0, -228, 0, 26006, 0, -1570692, 0, 47458321], [1, -12, 222, -2088, 26627, -185832, 1758462, -8459628, 62742241], [1, 12, 238, 2280, 31347, 221160, 2239342, 10952076, 88529281]], 'id': 10164193, 'index': 16, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/390/2/bb/b'], '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': '8-390e4-1.1-c1e4-0-16', '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': '8-390e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 1.7646998835014231, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 357496205875656832, 'z1': {'__RealLiteral__': 0, 'data': '1.17735732094833667893933524257', 'prec': 103}}