Database - gps_st

Formats: - HTML - YAML - JSON - 2026-10-28T14:22:18.535693

Query: /api/gps_st/?_offset=0

Table gps_st

Sato-Tate groups

Column	Type	Example
character_diagonal	bigint[]
character_matrix	bigint[]
component_group	text	'1055.2'
component_group_number	smallint	2
components	smallint	1055
counts	jsonb	[['a_1', [[1, 1]]]]
degree	smallint	1
first_a2_moment	smallint
fourth_trace_moment	smallint	0
gens	jsonb	[[['\\zeta_{1055}']]]
identity_component	text	'SO(1)'
label	text	'0.1.1055'
label_components	integer[]	[0, 1, 0, 1055]
maximal	boolean	False
moments	jsonb	[['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]
name	text	'mu(1055)'
old_label	text
pretty	text	'\\mu(1055)'
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	['0.1.211', '0.1.5']
supgroup_multiplicities	smallint[]
supgroups	jsonb	['0.1.2110', '0.1.3165', '0.1.5275']
trace_histogram	text
trace_zero_density	text	'0'
weight	smallint	0
zvector	smallint[]	[]

{'component_group': '20.2', 'component_group_number': 2, 'components': 20, 'counts': [['a_1', [[1, 1], [-1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{20}']]], 'id': 485, 'identity_component': 'SO(1)', 'label': '0.1.20', 'label_components': [0, 1, 0, 20], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(20)', 'pretty': '\\mu(20)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1, 1], 'subgroups': ['0.1.10', '0.1.4'], 'supgroups': ['0.1.40', '0.1.60', '0.1.100'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}