Database - lfunc_search

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Query: /api/lfunc_search/?_offset=0

Table lfunc_search

L-function search data

Column	Type	Example
algebraic	boolean	True
analytic_conductor	double precision	6.899074734638629
bad_primes	bigint[]	[2, 3]
central_character	text	'864.709'
conductor	numeric	864
conductor_radical	bigint	6
degree	smallint	2
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	35
instance_types	text[]	['CMF']
instance_urls	text[]	['ModularForm/GL2/Q/holomorphic/864/2/bu/a/709/2']
is_instance_Artin	boolean	False
is_instance_BMF	boolean	False
is_instance_CMF	boolean	True
is_instance_DIR	boolean	False
is_instance_ECNF	boolean	False
is_instance_ECQ	boolean	False
is_instance_G2Q	boolean	False
is_instance_HMF	boolean	False
is_instance_MaassGL3	boolean	False
is_instance_MaassGL4	boolean	False
is_instance_MaassGSp4	boolean	False
is_instance_NF	boolean	False
label	text	'2-864-864.709-c1-0-35'
motivic_weight	smallint	1
mu_imag	numeric[]	[]
mu_real	smallint[]	[]
nu_imag	numeric[]	[0.0]
nu_real_doubled	smallint[]	[1]
order_of_vanishing	smallint	0
prelabel	text	'2-864-864.709-c1-0'
primitive	boolean	True
rational	boolean	False
root_analytic_conductor	double precision	2.6266089801564734
root_angle	double precision	-0.2140762025715639
self_dual	boolean	False
spectral_label	text	'c1-0'
trace_hash	bigint
z1	numeric	0.69173740054295466936078071922

{'algebraic': True, 'analytic_conductor': 172768.2590114603, 'bad_primes': [3, 5, 31], 'central_character': '1.1', 'conductor': 339338109375, 'conductor_radical': 465, 'degree': 6, 'dirichlet_coefficients': [1, 0, 0, -2, 0, 0, 4, -2, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, -11, 0, 0, 0, 5, 0, 0, 0, 0, -8, 5, 0, -3, 8, 0, 0, 0, 0, 26, 0, 0, 0, 8, 0, 8, -14, 0, 0, -10, 0, -5, 0, 0, 0, 11, 0, 0, -8, 0, 0, 14, 0, 12, 0, 0, 4, 0, 0, 3, -14, 0, 0, 26, 0, 12, 0, 0, 22, 28, 0, 10, 0, 0, 0, 5, 0, 0, 0, 0, -14, 9, 0, 0, -10, 0, 0, 0, 0, -5, 0, 0, 0], 'euler11': [1, -7, 36, -117, 396, -847, 1331], 'euler13': [1, 0, 5, 62, 65, 0, 2197], 'euler17': [1, -7, 44, -179, 748, -2023, 4913], 'euler19': [1, 11, 84, 419, 1596, 3971, 6859], 'euler2': [1, 0, 2, 2, 4, 0, 8], 'euler23': [1, -5, 12, 9, 276, -2645, 12167], 'euler29': [1, -5, 92, -289, 2668, -4205, 24389], 'euler3': [1, 0, 0, 0, 0, 0, 0], 'euler31': [1, 3, 3, 1, 0, 0, 0], 'euler37': [1, -26, 333, -2546, 12321, -35594, 50653], 'euler41': [1, -8, 107, -526, 4387, -13448, 68921], 'euler43': [1, -8, 57, -320, 2451, -14792, 79507], 'euler47': [1, 10, 121, 948, 5687, 22090, 103823], 'euler5': [1, 0, 0, 0, 0, 0, 0], 'euler53': [1, -11, 120, -1191, 6360, -30899, 148877], 'euler59': [1, -14, 181, -1350, 10679, -48734, 205379], 'euler61': [1, -12, 167, -1400, 10187, -44652, 226981], 'euler67': [1, -3, 44, -671, 2948, -13467, 300763], 'euler7': [1, -4, 21, -52, 147, -196, 343], 'euler71': [1, -26, 401, -3940, 28471, -131066, 357911], 'euler73': [1, -12, 251, -1768, 18323, -63948, 389017], 'euler79': [1, -10, 255, -1546, 20145, -62410, 493039], 'euler83': [1, -5, 208, -651, 17264, -34445, 571787], 'euler89': [1, -9, 102, -79, 9078, -71289, 704969], 'euler97': [1, 5, 114, 1529, 11058, 47045, 912673], 'euler_factors': [[1, 0, 2, 2, 4, 0, 8], [1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [1, -4, 21, -52, 147, -196, 343], [1, -7, 36, -117, 396, -847, 1331], [1, 0, 5, 62, 65, 0, 2197], [1, -7, 44, -179, 748, -2023, 4913], [1, 11, 84, 419, 1596, 3971, 6859], [1, -5, 12, 9, 276, -2645, 12167], [1, -5, 92, -289, 2668, -4205, 24389], [1, 3, 3, 1, 0, 0, 0], [1, -26, 333, -2546, 12321, -35594, 50653], [1, -8, 107, -526, 4387, -13448, 68921], [1, -8, 57, -320, 2451, -14792, 79507], [1, 10, 121, 948, 5687, 22090, 103823], [1, -11, 120, -1191, 6360, -30899, 148877], [1, -14, 181, -1350, 10679, -48734, 205379], [1, -12, 167, -1400, 10187, -44652, 226981], [1, -3, 44, -671, 2948, -13467, 300763], [1, -26, 401, -3940, 28471, -131066, 357911], [1, -12, 251, -1768, 18323, -63948, 389017], [1, -10, 255, -1546, 20145, -62410, 493039], [1, -5, 208, -651, 17264, -34445, 571787], [1, -9, 102, -79, 9078, -71289, 704969], [1, 5, 114, 1529, 11058, 47045, 912673]], 'id': 21501638, 'index': 2, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/6975/2/a/bd'], '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': '6-6975e3-1.1-c1e3-0-2', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0, 0, 0], 'nu_real_doubled': [1, 1, 1], 'order_of_vanishing': 0, 'prelabel': '6-6975e3-1.1-c1e3-0', 'primitive': False, 'rational': True, 'root_analytic_conductor': 7.4629521913143115, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1e3-0', 'trace_hash': 106961923396682371, 'z1': {'__RealLiteral__': 0, 'data': '0.56685137283465840171868722860', 'prec': 97}}