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

Formats: - HTML - YAML - JSON - 2026-02-27T15:17:58.762186

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': 12781204.127349608, 'bad_primes': [2, 3, 13], 'central_character': '1.1', 'conductor': 3143861048180736, 'conductor_radical': 78, 'degree': 8, 'dirichlet_coefficients': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 24, 0, 0, 0], 'euler11': [1, 0, 40, 0, 642, 0, 4840, 0, 14641], 'euler13': [1, -4, 6, -4, 1, 0, 0, 0, 0], 'euler17': [1, 0, 32, 0, 834, 0, 9248, 0, 83521], 'euler19': [1, 0, -68, 0, 1878, 0, -24548, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -52, 0, 1734, 0, -27508, 0, 279841], 'euler29': [1, 0, -16, 0, 1746, 0, -13456, 0, 707281], 'euler3': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler31': [1, 0, 76, 0, 3366, 0, 73036, 0, 923521], 'euler37': [1, -8, 172, -920, 10006, -34040, 235468, -405224, 1874161], 'euler41': [1, 0, -164, 0, 10086, 0, -275684, 0, 2825761], 'euler43': [1, 0, -44, 0, 4182, 0, -81356, 0, 3418801], 'euler47': [1, 0, -8, 0, 4434, 0, -17672, 0, 4879681], 'euler5': [1, 0, -4, 0, 54, 0, -100, 0, 625], 'euler53': [1, 0, 112, 0, 8754, 0, 314608, 0, 7890481], 'euler59': [1, 0, 232, 0, 20418, 0, 807592, 0, 12117361], 'euler61': [1, 0, 244, 0, 22326, 0, 907924, 0, 13845841], 'euler67': [1, 0, 20, 0, 9078, 0, 89780, 0, 20151121], 'euler7': [1, 0, -28, 0, 294, 0, -1372, 0, 2401], 'euler71': [1, 0, 184, 0, 18546, 0, 927544, 0, 25411681], 'euler73': [1, -8, 316, -1784, 35494, -130232, 1683964, -3112136, 28398241], 'euler79': [1, 0, -188, 0, 21318, 0, -1173308, 0, 38950081], 'euler83': [1, 0, 136, 0, 18402, 0, 936904, 0, 47458321], 'euler89': [1, 0, 44, 0, 16326, 0, 348524, 0, 62742241], 'euler97': [1, -24, 604, -7848, 99654, -761256, 5683036, -21904152, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -4, 0, 54, 0, -100, 0, 625], [1, 0, -28, 0, 294, 0, -1372, 0, 2401], [1, 0, 40, 0, 642, 0, 4840, 0, 14641], [1, -4, 6, -4, 1, 0, 0, 0, 0], [1, 0, 32, 0, 834, 0, 9248, 0, 83521], [1, 0, -68, 0, 1878, 0, -24548, 0, 130321], [1, 0, -52, 0, 1734, 0, -27508, 0, 279841], [1, 0, -16, 0, 1746, 0, -13456, 0, 707281], [1, 0, 76, 0, 3366, 0, 73036, 0, 923521], [1, -8, 172, -920, 10006, -34040, 235468, -405224, 1874161], [1, 0, -164, 0, 10086, 0, -275684, 0, 2825761], [1, 0, -44, 0, 4182, 0, -81356, 0, 3418801], [1, 0, -8, 0, 4434, 0, -17672, 0, 4879681], [1, 0, 112, 0, 8754, 0, 314608, 0, 7890481], [1, 0, 232, 0, 20418, 0, 807592, 0, 12117361], [1, 0, 244, 0, 22326, 0, 907924, 0, 13845841], [1, 0, 20, 0, 9078, 0, 89780, 0, 20151121], [1, 0, 184, 0, 18546, 0, 927544, 0, 25411681], [1, -8, 316, -1784, 35494, -130232, 1683964, -3112136, 28398241], [1, 0, -188, 0, 21318, 0, -1173308, 0, 38950081], [1, 0, 136, 0, 18402, 0, 936904, 0, 47458321], [1, 0, 44, 0, 16326, 0, 348524, 0, 62742241], [1, -24, 604, -7848, 99654, -761256, 5683036, -21904152, 88529281]], 'id': 23576197, 'index': 1, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/7488/2/d/d'], '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': '8-7488e4-1.1-c1e4-0-1', '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': '8-7488e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.732527467363746, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 2105254634068775801, 'z1': {'__RealLiteral__': 0, 'data': '0.13705019093600586929288962493', 'prec': 103}}