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	217.0573478144466
bad_primes	bigint[]	[3, 13, 17, 41]
central_character	text	'1.1'
conductor	numeric	27183
conductor_radical	bigint	27183
degree	smallint	2
dirichlet_coefficients	numeric[]	[1, -1, 1, -1, 3, -1, 1, 3, 1, -3, -2, -1, -1, -1, 3, -1, 1, -1, -6, -3, 1, 2, 4, 3, 4, 1, 1, -1, 0,...
euler11	numeric[]	[1, 2, 11]
euler13	numeric[]	[1, 1, 0]
euler17	numeric[]	[1, -1, 0]
euler19	numeric[]	[1, 6, 19]
euler2	numeric[]	[1, 1, 2]
euler23	numeric[]	[1, -4, 23]
euler29	numeric[]	[1, 0, 29]
euler3	numeric[]	[1, -1, 0]
euler31	numeric[]	[1, -6, 31]
euler37	numeric[]	[1, 2, 37]
euler41	numeric[]	[1, 1, 0]
euler43	numeric[]	[1, 7, 43]
euler47	numeric[]	[1, -3, 47]
euler5	numeric[]	[1, -3, 5]
euler53	numeric[]	[1, -3, 53]
euler59	numeric[]	[1, 12, 59]
euler61	numeric[]	[1, -4, 61]
euler67	numeric[]	[1, -6, 67]
euler7	numeric[]	[1, -1, 7]
euler71	numeric[]	[1, 2, 71]
euler73	numeric[]	[1, 10, 73]
euler79	numeric[]	[1, 3, 79]
euler83	numeric[]	[1, 16, 83]
euler89	numeric[]	[1, 1, 89]
euler97	numeric[]	[1, -7, 97]
euler_factors	numeric[]	[[1, 1, 2], [1, -1, 0], [1, -3, 5], [1, -1, 7], [1, 2, 11], [1, 1, 0], [1, -1, 0], [1, 6, 19], [1, -...
index	smallint	2
instance_types	text[]	['ECQ']
instance_urls	text[]	['EllipticCurve/Q/27183/c']
is_instance_Artin	boolean	False
is_instance_BMF	boolean	False
is_instance_CMF	boolean	False
is_instance_DIR	boolean	False
is_instance_ECNF	boolean	False
is_instance_ECQ	boolean	True
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	'2-27183-1.1-c1-0-2'
motivic_weight	smallint	1
mu_imag	numeric[]	[]
mu_real	smallint[]	[]
nu_imag	numeric[]	[0.0]
nu_real_doubled	smallint[]	[1]
order_of_vanishing	smallint	1
prelabel	text	'2-27183-1.1-c1-0'
primitive	boolean	True
rational	boolean	True
root_analytic_conductor	double precision	14.732866245725798
root_angle	double precision	0.5
self_dual	boolean	True
spectral_label	text	'c1-0'
trace_hash	bigint	1817857305391326534
z1	numeric	1.191277620784437

{'algebraic': True, 'analytic_conductor': 5.78915414654283, 'bad_primes': [5, 29], 'central_character': '1.1', 'conductor': 725, 'conductor_radical': 145, 'degree': 2, 'id': 13317502, 'index': 25, 'instance_types': ['CMF'], 'instance_urls': ['ModularForm/GL2/Q/holomorphic/725/2/a/g/1/4'], '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': '2-725-1.1-c1-0-25', 'motivic_weight': 1, 'mu_imag': [], 'mu_real': [], 'nu_imag': [0], 'nu_real_doubled': [1], 'order_of_vanishing': 0, 'prelabel': '2-725-1.1-c1-0', 'primitive': True, 'rational': False, 'root_analytic_conductor': 2.406066114333276, 'root_angle': 0.0, 'self_dual': True, 'spectral_label': 'c1-0', 'z1': {'__RealLiteral__': 0, 'data': '1.65432359396682364961687111457', 'prec': 100}}