Database - lfunc_search (L-function search data)

Formats: - HTML - YAML - JSON - 2026-06-25T19:15:00.504992

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': 3.7201391609055845e-06, 'bad_primes': [2, 11], 'central_character': '1.1', 'conductor': 59969536, 'conductor_radical': 22, 'degree': 8, 'dirichlet_coefficients': [1, -1, -2, 0, 0, 2, 0, 0, 1, 0, -1, 0, 0, 0, 0, 0, -2, -1, 3, 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, -3, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, -1, 1, 4, 0, 0, 0, 0, 0, -6, 0, 3, 0, 0, 0, 0, -1, 0, -2, -2, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 3, 1, -1, 0], 'euler11': [1, 1, 1, 1, 1, 0, 0, 0, 0], 'euler13': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler17': [1, 2, 3, 4, 5, 4, 3, 2, 1], 'euler19': [1, -3, 3, -1, 0, -1, 3, -3, 1], 'euler2': [1, 1, 1, 1, 1, 0, 0, 0, 0], 'euler23': [1, 0, -4, 0, 6, 0, -4, 0, 1], 'euler29': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler3': [1, 2, 3, 4, 5, 4, 3, 2, 1], 'euler31': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler37': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler41': [1, 2, 3, 4, 5, 4, 3, 2, 1], 'euler43': [1, 2, 3, 4, 5, 4, 3, 2, 1], 'euler47': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler5': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler53': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler59': [1, -3, 3, -1, 0, -1, 3, -3, 1], 'euler61': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler67': [1, 2, 3, 4, 5, 4, 3, 2, 1], 'euler7': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler71': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler73': [1, 2, 3, 4, 5, 4, 3, 2, 1], 'euler79': [1, 0, 1, 0, 1, 0, 1, 0, 1], 'euler83': [1, -3, 3, -1, 0, -1, 3, -3, 1], 'euler89': [1, 2, 3, 4, 5, 4, 3, 2, 1], 'euler97': [1, -3, 3, -1, 0, -1, 3, -3, 1], 'euler_factors': [[1, 1, 1, 1, 1, 0, 0, 0, 0], [1, 2, 3, 4, 5, 4, 3, 2, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 1, 1, 0, 0, 0, 0], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 2, 3, 4, 5, 4, 3, 2, 1], [1, -3, 3, -1, 0, -1, 3, -3, 1], [1, 0, -4, 0, 6, 0, -4, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 2, 3, 4, 5, 4, 3, 2, 1], [1, 2, 3, 4, 5, 4, 3, 2, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, -3, 3, -1, 0, -1, 3, -3, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 2, 3, 4, 5, 4, 3, 2, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 2, 3, 4, 5, 4, 3, 2, 1], [1, 0, 1, 0, 1, 0, 1, 0, 1], [1, -3, 3, -1, 0, -1, 3, -3, 1], [1, 2, 3, 4, 5, 4, 3, 2, 1], [1, -3, 3, -1, 0, -1, 3, -3, 1]], 'id': 19446169, 'index': 0, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/88/1/l/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': '8-88e4-1.1-c0e4-0-0', 'motivic_weight': 0, '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': [0, 0, 0, 0], 'order_of_vanishing': 0, 'prelabel': '8-88e4-1.1-c0e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 0.20956555325650306, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c0e4-0', 'trace_hash': 1874476807280359954, 'z1': {'__RealLiteral__': 0, 'data': '1.80284319275365030447112589300', 'prec': 103}}