Database - gps_st

Formats: - HTML - YAML - JSON - 2026-10-28T14:22:31.202151

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/8587'
component_group_number	smallint
components	smallint	8587
counts	jsonb	[['a_1', [[1, 1]]]]
degree	smallint	1
first_a2_moment	smallint
fourth_trace_moment	smallint	0
gens	jsonb	[[['\\zeta_{8587}']]]
identity_component	text	'SO(1)'
label	text	'0.1.8587'
label_components	integer[]	[0, 1, 0, 8587]
maximal	boolean	False
moments	jsonb	[['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]
name	text	'mu(8587)'
old_label	text
pretty	text	'\\mu(8587)'
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]
subgroups	jsonb	['0.1.277', '0.1.31']
supgroup_multiplicities	smallint[]
supgroups	jsonb	['0.1.17174', '0.1.25761', '0.1.42935']
trace_histogram	text
trace_zero_density	text	'0'
weight	smallint	0
zvector	smallint[]	[]

{'component_group': '35.1', 'component_group_number': 1, 'components': 35, 'counts': [['a_1', [[1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{35}']]], 'id': 500, 'identity_component': 'SO(1)', 'label': '0.1.35', 'label_components': [0, 1, 0, 35], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(35)', 'pretty': '\\mu(35)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1, 1], 'subgroups': ['0.1.7', '0.1.5'], 'supgroups': ['0.1.70', '0.1.105', '0.1.175'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}