Database - gps_st

Formats: - HTML - YAML - JSON - 2026-10-28T14:22:31.203510

Query: /api/gps_st/?_offset=0

Table gps_st

Sato-Tate groups

Column	Type	Example
character_diagonal	bigint[]
character_matrix	bigint[]
component_group	text	'ab/3798'
component_group_number	smallint
components	smallint	3798
counts	jsonb	[['a_1', [[1, 1], [-1, 1]]]]
degree	smallint	1
first_a2_moment	smallint
fourth_trace_moment	smallint	0
gens	jsonb	[[['\\zeta_{3798}']]]
identity_component	text	'SO(1)'
label	text	'0.1.3798'
label_components	integer[]	[0, 1, 0, 3798]
maximal	boolean	False
moments	jsonb	[['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]
name	text	'mu(3798)'
old_label	text
pretty	text	'\\mu(3798)'
rational	boolean	False
real_dimension	smallint	0
second_trace_moment	smallint	0
simplex	bigint[]
st0_label	text	'0.1.A'
subgroup_multiplicities	smallint[]	[1, 1, 1]
subgroups	jsonb	['0.1.1899', '0.1.1266', '0.1.18']
supgroup_multiplicities	smallint[]
supgroups	jsonb	['0.1.7596', '0.1.11394', '0.1.18990']
trace_histogram	text
trace_zero_density	text	'0'
weight	smallint	0
zvector	smallint[]	[]

{'component_group': '91.1', 'component_group_number': 1, 'components': 91, 'counts': [['a_1', [[1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{91}']]], 'id': 556, 'identity_component': 'SO(1)', 'label': '0.1.91', 'label_components': [0, 1, 0, 91], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(91)', 'pretty': '\\mu(91)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1, 1], 'subgroups': ['0.1.13', '0.1.7'], 'supgroups': ['0.1.182', '0.1.273', '0.1.455'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}