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

Formats: - HTML - YAML - JSON - 2026-03-15T09:21:47.585532

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': 7160.0877433421, 'bad_primes': [2, 3], 'central_character': '1.1', 'conductor': 1761205026816, 'conductor_radical': 6, 'degree': 8, 'dirichlet_coefficients': [1, 0, 2, 0, 0, 0, 0, 0, 3, 0, 18, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -10, 0, 10, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, -6, 0, 30, 0, 0, 0, 0, 0, 14, 0, -24, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, 4, 0, -20, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -10, 0, 54, 0], 'euler11': [1, -18, 155, -846, 3276, -9306, 18755, -23958, 14641], 'euler13': [1, 0, 26, 0, 507, 0, 4394, 0, 28561], 'euler17': [1, 12, 74, 432, 2163, 7344, 21386, 58956, 83521], 'euler19': [1, 0, -34, 0, 795, 0, -12274, 0, 130321], 'euler2': [1, 0, 0, 0, 0, 0, 0, 0, 0], 'euler23': [1, 0, -46, 0, 1587, 0, -24334, 0, 279841], 'euler29': [1, 0, 58, 0, 2523, 0, 48778, 0, 707281], 'euler3': [1, -2, 1, -6, 9, 0, 0, 0, 0], 'euler31': [1, 0, -62, 0, 2883, 0, -59582, 0, 923521], 'euler37': [1, 0, -148, 0, 8214, 0, -202612, 0, 1874161], 'euler41': [1, 6, 41, -522, -3132, -21402, 68921, 413526, 2825761], 'euler43': [1, -30, 443, -4290, 31500, -184470, 819107, -2385210, 3418801], 'euler47': [1, 0, -94, 0, 6627, 0, -207646, 0, 4879681], 'euler5': [1, 0, 10, 0, 75, 0, 250, 0, 625], 'euler53': [1, 0, -212, 0, 16854, 0, -595508, 0, 7890481], 'euler59': [1, -18, 203, -1710, 11916, -100890, 706643, -3696822, 12117361], 'euler61': [1, 0, 122, 0, 11163, 0, 453962, 0, 13845841], 'euler67': [1, -42, 851, -11046, 104076, -740082, 3820139, -12632046, 20151121], 'euler7': [1, 0, -14, 0, 147, 0, -686, 0, 2401], 'euler71': [1, 0, 284, 0, 30246, 0, 1431644, 0, 25411681], 'euler73': [1, -4, -134, -16, 16003, -1168, -714086, -1556068, 28398241], 'euler79': [1, 0, -158, 0, 18723, 0, -986078, 0, 38950081], 'euler83': [1, 0, 158, 0, 18075, 0, 1088462, 0, 47458321], 'euler89': [1, 72, 2300, 42552, 498534, 3787128, 18218300, 50757768, 62742241], 'euler97': [1, 10, 97, -1910, -19100, -185270, 912673, 9126730, 88529281], 'euler_factors': [[1, 0, 0, 0, 0, 0, 0, 0, 0], [1, -2, 1, -6, 9, 0, 0, 0, 0], [1, 0, 10, 0, 75, 0, 250, 0, 625], [1, 0, -14, 0, 147, 0, -686, 0, 2401], [1, -18, 155, -846, 3276, -9306, 18755, -23958, 14641], [1, 0, 26, 0, 507, 0, 4394, 0, 28561], [1, 12, 74, 432, 2163, 7344, 21386, 58956, 83521], [1, 0, -34, 0, 795, 0, -12274, 0, 130321], [1, 0, -46, 0, 1587, 0, -24334, 0, 279841], [1, 0, 58, 0, 2523, 0, 48778, 0, 707281], [1, 0, -62, 0, 2883, 0, -59582, 0, 923521], [1, 0, -148, 0, 8214, 0, -202612, 0, 1874161], [1, 6, 41, -522, -3132, -21402, 68921, 413526, 2825761], [1, -30, 443, -4290, 31500, -184470, 819107, -2385210, 3418801], [1, 0, -94, 0, 6627, 0, -207646, 0, 4879681], [1, 0, -212, 0, 16854, 0, -595508, 0, 7890481], [1, -18, 203, -1710, 11916, -100890, 706643, -3696822, 12117361], [1, 0, 122, 0, 11163, 0, 453962, 0, 13845841], [1, -42, 851, -11046, 104076, -740082, 3820139, -12632046, 20151121], [1, 0, 284, 0, 30246, 0, 1431644, 0, 25411681], [1, -4, -134, -16, 16003, -1168, -714086, -1556068, 28398241], [1, 0, -158, 0, 18723, 0, -986078, 0, 38950081], [1, 0, 158, 0, 18075, 0, 1088462, 0, 47458321], [1, 72, 2300, 42552, 498534, 3787128, 18218300, 50757768, 62742241], [1, 10, 97, -1910, -19100, -185270, 912673, 9126730, 88529281]], 'id': 23577191, 'index': 9, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/1152/2/r/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': '8-1152e4-1.1-c1e4-0-9', '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': '8-1152e4-1.1-c1e4-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 3.0329468034984566, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e4-0', 'trace_hash': 942891111071807774, 'z1': {'__RealLiteral__': 0, 'data': '0.57812065755926670835597167160', 'prec': 103}}