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

Formats: - HTML - YAML - JSON - 2026-03-12T05:37:50.572219

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': 3575.0809959145836, 'bad_primes': [2, 3, 13], 'central_character': '1.1', 'conductor': 56070144, 'conductor_radical': 78, 'degree': 4, 'dirichlet_coefficients': [1, 0, 0, 0, -3, 0, -3, 0, 0, 0, -4, 0, 2, 0, 0, 0, -3, 0, 12, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, -6, 0, 0, 0, 9, 0, 7, 0, 0, 0, -6, 0, 3, 0, 0, 0, -9, 0, -3, 0, 0, 0, -18, 0, 12, 0, 0, 0, 12, 0, -2, 0, 0, 0, -6, 0, 12, 0, 0, 0, 9, 0, 20, 0, 0, 0, 12, 0, -24, 0, 0, 0, 10, 0, 9, 0, 0, 0, 0, 0, -6, 0, 0, 0, -36, 0, -12, 0, 0, 0], 'euler11': [1, 4, 26, 44, 121], 'euler13': [1, -2, 1, 0, 0], 'euler17': [1, 3, 32, 51, 289], 'euler19': [1, -12, 74, -228, 361], 'euler2': [1, 0, 0, 0, 0], 'euler23': [1, 0, 46, 0, 529], 'euler29': [1, 0, -10, 0, 841], 'euler3': [1, 0, 0, 0, 0], 'euler31': [1, 6, 54, 186, 961], 'euler37': [1, -7, 48, -259, 1369], 'euler41': [1, 6, 74, 246, 1681], 'euler43': [1, -3, -18, -129, 1849], 'euler47': [1, 9, 76, 423, 2209], 'euler5': [1, 3, 8, 15, 25], 'euler53': [1, 18, 170, 954, 2809], 'euler59': [1, -12, 154, -708, 3481], 'euler61': [1, 2, -30, 122, 3721], 'euler67': [1, -12, 170, -804, 4489], 'euler7': [1, 3, 12, 21, 49], 'euler71': [1, -9, 124, -639, 5041], 'euler73': [1, -20, 246, -1460, 5329], 'euler79': [1, 24, 302, 1896, 6241], 'euler83': [1, -10, 38, -830, 6889], 'euler89': [1, 0, 110, 0, 7921], 'euler97': [1, 12, 230, 1164, 9409], 'euler_factors': [[1, 0, 0, 0, 0], [1, 0, 0, 0, 0], [1, 3, 8, 15, 25], [1, 3, 12, 21, 49], [1, 4, 26, 44, 121], [1, -2, 1, 0, 0], [1, 3, 32, 51, 289], [1, -12, 74, -228, 361], [1, 0, 46, 0, 529], [1, 0, -10, 0, 841], [1, 6, 54, 186, 961], [1, -7, 48, -259, 1369], [1, 6, 74, 246, 1681], [1, -3, -18, -129, 1849], [1, 9, 76, 423, 2209], [1, 18, 170, 954, 2809], [1, -12, 154, -708, 3481], [1, 2, -30, 122, 3721], [1, -12, 170, -804, 4489], [1, -9, 124, -639, 5041], [1, -20, 246, -1460, 5329], [1, 24, 302, 1896, 6241], [1, -10, 38, -830, 6889], [1, 0, 110, 0, 7921], [1, 12, 230, 1164, 9409]], 'id': 21861560, 'index': 10, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/7488/2/a/ce'], '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': '4-7488e2-1.1-c1e2-0-10', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [{'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}, {'__RealLiteral__': 0, 'data': '0.0', 'prec': 10}], 'nu_real_doubled': [1, 1], 'order_of_vanishing': 2, 'prelabel': '4-7488e2-1.1-c1e2-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.732527467363746, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e2-0', 'trace_hash': 1301886796696554542, 'z1': {'__RealLiteral__': 0, 'data': '0.913949618391616138541189427665', 'prec': 107}}