Database - lfunc_search (L-function search data)

Formats: - HTML - YAML - JSON - 2026-06-26T22:59:50.763923

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': 437.9177452782982, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 589824, 'conductor_radical': 6, 'degree': 4, 'dirichlet_coefficients': [1, 0, 0, 0, -8, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -36, 0, 0, 0, 24, 0, 0, 0, 50, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 164, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 288, 0, 0, 0, -252, 0, 0, 0, 0, 0, 0, 0, 220, 0, 0, 0], 'euler11': [1, 0, -194, 0, 14641], 'euler13': [1, 0, 338, 0, 28561], 'euler17': [1, 36, 902, 10404, 83521], 'euler19': [1, 0, -290, 0, 130321], 'euler2': [1, 0, 0, 0, 0], 'euler23': [1, 0, 670, 0, 279841], 'euler29': [1, -8, 1698, -6728, 707281], 'euler3': [1, 0, 3, 0, 0], 'euler31': [1, 0, 430, 0, 923521], 'euler37': [1, -144, 7922, -197136, 1874161], 'euler41': [1, 36, 3686, 60516, 2825761], 'euler43': [1, 0, 190, 0, 3418801], 'euler47': [1, 0, -2690, 0, 4879681], 'euler5': [1, 8, 66, 200, 625], 'euler53': [1, 88, 7554, 247192, 7890481], 'euler59': [1, 0, -3074, 0, 12117361], 'euler61': [1, 144, 12626, 535824, 13845841], 'euler67': [1, 0, -8546, 0, 20151121], 'euler7': [1, 0, -50, 0, 2401], 'euler71': [1, 0, -8354, 0, 25411681], 'euler73': [1, -164, 17382, -873956, 28398241], 'euler79': [1, 0, -8594, 0, 38950081], 'euler83': [1, 0, 3550, 0, 47458321], 'euler89': [1, 252, 31718, 1996092, 62742241], 'euler97': [1, -220, 30918, -2069980, 88529281], 'euler_factors': [[1, 0, 0, 0, 0], [1, 0, 3, 0, 0], [1, 8, 66, 200, 625], [1, 0, -50, 0, 2401], [1, 0, -194, 0, 14641], [1, 0, 338, 0, 28561], [1, 36, 902, 10404, 83521], [1, 0, -290, 0, 130321], [1, 0, 670, 0, 279841], [1, -8, 1698, -6728, 707281], [1, 0, 430, 0, 923521], [1, -144, 7922, -197136, 1874161], [1, 36, 3686, 60516, 2825761], [1, 0, 190, 0, 3418801], [1, 0, -2690, 0, 4879681], [1, 88, 7554, 247192, 7890481], [1, 0, -3074, 0, 12117361], [1, 144, 12626, 535824, 13845841], [1, 0, -8546, 0, 20151121], [1, 0, -8354, 0, 25411681], [1, -164, 17382, -873956, 28398241], [1, 0, -8594, 0, 38950081], [1, 0, 3550, 0, 47458321], [1, 252, 31718, 1996092, 62742241], [1, -220, 30918, -2069980, 88529281]], 'id': 23253545, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/768/3/g/a'], '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': '4-768e2-1.1-c2e2-0-2', 'motivic_weight': 2, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [2, 2], 'order_of_vanishing': 0, 'prelabel': '4-768e2-1.1-c2e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 4.574547442411195, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c2e2-0', 'trace_hash': 1345038752796281854, 'z1': {'__RealLiteral__': 0, 'data': '0.19259348445552987089425141209', 'prec': 103}}