Database - gps_st ((description not yet updated on this server))

Formats: - HTML - YAML - JSON - 2025-11-28T00:15:11.863826 - next page

Query: /api/gps_st/?_offset=0

Column	Type
character_diagonal	bigint[]
character_matrix	bigint[]
component_group	text
component_group_number	smallint
components	smallint
counts	jsonb
degree	smallint
first_a2_moment	smallint
fourth_trace_moment	smallint
gens	jsonb
identity_component	text
label	text
label_components	integer[]
maximal	boolean
moments	jsonb
name	text
old_label	text
pretty	text
rational	boolean
real_dimension	smallint
second_trace_moment	smallint
simplex	bigint[]
st0_label	text
subgroup_multiplicities	smallint[]
subgroups	jsonb
supgroup_multiplicities	smallint[]
supgroups	jsonb
trace_histogram	text
trace_zero_density	text
weight	smallint
zvector	smallint[]

0. label: 0.1.1
   {'component_group': '1.1', 'component_group_number': 1, 'components': 1, 'counts': [['a_1', [[1, 1]]]], 'degree': 1, 'fourth_trace_moment': 1, 'gens': [[['\\zeta_{1}']]], 'identity_component': 'SO(1)', 'label': '0.1.1', 'label_components': [0, 1, 0, 1], 'maximal': False, 'moments': [['a_1', 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], 'name': 'mu(1)', 'pretty': '\\mu(1)', 'rational': True, 'real_dimension': 0, 'second_trace_moment': 1, 'st0_label': '0.1.A', 'subgroup_multiplicities': [], 'subgroups': [], 'supgroups': ['0.1.2'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
1. label: 0.1.2
   {'component_group': '2.1', 'component_group_number': 1, 'components': 2, 'counts': [['a_1', [[1, 1], [-1, 1]]]], 'degree': 1, 'fourth_trace_moment': 1, 'gens': [[['\\zeta_{2}']]], 'identity_component': 'SO(1)', 'label': '0.1.2', 'label_components': [0, 1, 0, 2], 'maximal': True, 'moments': [['a_1', 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1]], 'name': 'mu(2)', 'pretty': '\\mu(2)', 'rational': True, 'real_dimension': 0, 'second_trace_moment': 1, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1], 'subgroups': ['0.1.1'], 'supgroups': [], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
2. label: 0.1.3
   {'component_group': '3.1', 'component_group_number': 1, 'components': 3, 'counts': [['a_1', [[1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{3}']]], 'identity_component': 'SO(1)', 'label': '0.1.3', 'label_components': [0, 1, 0, 3], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1]], 'name': 'mu(3)', 'pretty': '\\mu(3)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1], 'subgroups': ['0.1.1'], 'supgroups': ['0.1.6', '0.1.9', '0.1.15'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
3. label: 0.1.4
   {'component_group': '4.1', 'component_group_number': 1, 'components': 4, 'counts': [['a_1', [[1, 1], [-1, 1]]]], 'degree': 1, 'fourth_trace_moment': 1, 'gens': [[['\\zeta_{4}']]], 'identity_component': 'SO(1)', 'label': '0.1.4', 'label_components': [0, 1, 0, 4], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1]], 'name': 'mu(4)', 'pretty': '\\mu(4)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1], 'subgroups': ['0.1.2'], 'supgroups': ['0.1.8', '0.1.12', '0.1.20'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
4. label: 0.1.5
   {'component_group': '5.1', 'component_group_number': 1, 'components': 5, 'counts': [['a_1', [[1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{5}']]], 'identity_component': 'SO(1)', 'label': '0.1.5', 'label_components': [0, 1, 0, 5], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0]], 'name': 'mu(5)', 'pretty': '\\mu(5)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1], 'subgroups': ['0.1.1'], 'supgroups': ['0.1.10', '0.1.15', '0.1.25'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
5. label: 0.1.6
   {'component_group': '6.2', 'component_group_number': 2, 'components': 6, 'counts': [['a_1', [[1, 1], [-1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{6}']]], 'identity_component': 'SO(1)', 'label': '0.1.6', 'label_components': [0, 1, 0, 6], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1]], 'name': 'mu(6)', 'pretty': '\\mu(6)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1, 1], 'subgroups': ['0.1.3', '0.1.2'], 'supgroups': ['0.1.12', '0.1.18', '0.1.30'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
6. label: 0.1.7
   {'component_group': '7.1', 'component_group_number': 1, 'components': 7, 'counts': [['a_1', [[1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{7}']]], 'identity_component': 'SO(1)', 'label': '0.1.7', 'label_components': [0, 1, 0, 7], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]], 'name': 'mu(7)', 'pretty': '\\mu(7)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1], 'subgroups': ['0.1.1'], 'supgroups': ['0.1.14', '0.1.21', '0.1.35'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
7. label: 0.1.8
   {'component_group': '8.1', 'component_group_number': 1, 'components': 8, 'counts': [['a_1', [[1, 1], [-1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{8}']]], 'identity_component': 'SO(1)', 'label': '0.1.8', 'label_components': [0, 1, 0, 8], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0]], 'name': 'mu(8)', 'pretty': '\\mu(8)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1], 'subgroups': ['0.1.4'], 'supgroups': ['0.1.16', '0.1.24', '0.1.40'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
8. label: 0.1.9
   {'component_group': '9.1', 'component_group_number': 1, 'components': 9, 'counts': [['a_1', [[1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{9}']]], 'identity_component': 'SO(1)', 'label': '0.1.9', 'label_components': [0, 1, 0, 9], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0]], 'name': 'mu(9)', 'pretty': '\\mu(9)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1], 'subgroups': ['0.1.3'], 'supgroups': ['0.1.18', '0.1.27', '0.1.45'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
9. label: 0.1.10
   {'component_group': '10.2', 'component_group_number': 2, 'components': 10, 'counts': [['a_1', [[1, 1], [-1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{10}']]], 'identity_component': 'SO(1)', 'label': '0.1.10', 'label_components': [0, 1, 0, 10], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]], 'name': 'mu(10)', 'pretty': '\\mu(10)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1, 1], 'subgroups': ['0.1.5', '0.1.2'], 'supgroups': ['0.1.20', '0.1.30', '0.1.50'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
10. label: 0.1.11
    {'component_group': '11.1', 'component_group_number': 1, 'components': 11, 'counts': [['a_1', [[1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{11}']]], 'identity_component': 'SO(1)', 'label': '0.1.11', 'label_components': [0, 1, 0, 11], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0]], 'name': 'mu(11)', 'pretty': '\\mu(11)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1], 'subgroups': ['0.1.1'], 'supgroups': ['0.1.22', '0.1.33', '0.1.55'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
11. label: 0.1.12
    {'component_group': '12.2', 'component_group_number': 2, 'components': 12, 'counts': [['a_1', [[1, 1], [-1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{12}']]], 'identity_component': 'SO(1)', 'label': '0.1.12', 'label_components': [0, 1, 0, 12], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1]], 'name': 'mu(12)', 'pretty': '\\mu(12)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1, 1], 'subgroups': ['0.1.6', '0.1.4'], 'supgroups': ['0.1.24', '0.1.36', '0.1.60'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
12. label: 0.1.13
    {'component_group': '13.1', 'component_group_number': 1, 'components': 13, 'counts': [['a_1', [[1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{13}']]], 'identity_component': 'SO(1)', 'label': '0.1.13', 'label_components': [0, 1, 0, 13], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(13)', 'pretty': '\\mu(13)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1], 'subgroups': ['0.1.1'], 'supgroups': ['0.1.26', '0.1.39', '0.1.65'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
13. label: 0.1.14
    {'component_group': '14.2', 'component_group_number': 2, 'components': 14, 'counts': [['a_1', [[1, 1], [-1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{14}']]], 'identity_component': 'SO(1)', 'label': '0.1.14', 'label_components': [0, 1, 0, 14], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(14)', 'pretty': '\\mu(14)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1, 1], 'subgroups': ['0.1.7', '0.1.2'], 'supgroups': ['0.1.28', '0.1.42', '0.1.70'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
14. label: 0.1.15
    {'component_group': '15.1', 'component_group_number': 1, 'components': 15, 'counts': [['a_1', [[1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{15}']]], 'identity_component': 'SO(1)', 'label': '0.1.15', 'label_components': [0, 1, 0, 15], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(15)', 'pretty': '\\mu(15)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1, 1], 'subgroups': ['0.1.5', '0.1.3'], 'supgroups': ['0.1.30', '0.1.45', '0.1.75'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
15. label: 0.1.16
    {'component_group': '16.1', 'component_group_number': 1, 'components': 16, 'counts': [['a_1', [[1, 1], [-1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{16}']]], 'identity_component': 'SO(1)', 'label': '0.1.16', 'label_components': [0, 1, 0, 16], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(16)', 'pretty': '\\mu(16)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1], 'subgroups': ['0.1.8'], 'supgroups': ['0.1.32', '0.1.48', '0.1.80'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
16. label: 0.1.17
    {'component_group': '17.1', 'component_group_number': 1, 'components': 17, 'counts': [['a_1', [[1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{17}']]], 'identity_component': 'SO(1)', 'label': '0.1.17', 'label_components': [0, 1, 0, 17], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(17)', 'pretty': '\\mu(17)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1], 'subgroups': ['0.1.1'], 'supgroups': ['0.1.34', '0.1.51', '0.1.85'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
17. label: 0.1.18
    {'component_group': '18.2', 'component_group_number': 2, 'components': 18, 'counts': [['a_1', [[1, 1], [-1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{18}']]], 'identity_component': 'SO(1)', 'label': '0.1.18', 'label_components': [0, 1, 0, 18], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(18)', 'pretty': '\\mu(18)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1, 1], 'subgroups': ['0.1.9', '0.1.6'], 'supgroups': ['0.1.36', '0.1.54', '0.1.90'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
18. label: 0.1.19
    {'component_group': '19.1', 'component_group_number': 1, 'components': 19, 'counts': [['a_1', [[1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{19}']]], 'identity_component': 'SO(1)', 'label': '0.1.19', 'label_components': [0, 1, 0, 19], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(19)', 'pretty': '\\mu(19)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1], 'subgroups': ['0.1.1'], 'supgroups': ['0.1.38', '0.1.57', '0.1.95'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
19. label: 0.1.20
    {'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}']]], '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': []}
20. label: 0.1.21
    {'component_group': '21.2', 'component_group_number': 2, 'components': 21, 'counts': [['a_1', [[1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{21}']]], 'identity_component': 'SO(1)', 'label': '0.1.21', 'label_components': [0, 1, 0, 21], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(21)', 'pretty': '\\mu(21)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1, 1], 'subgroups': ['0.1.7', '0.1.3'], 'supgroups': ['0.1.42', '0.1.63', '0.1.105'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
21. label: 0.1.22
    {'component_group': '22.2', 'component_group_number': 2, 'components': 22, 'counts': [['a_1', [[1, 1], [-1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{22}']]], 'identity_component': 'SO(1)', 'label': '0.1.22', 'label_components': [0, 1, 0, 22], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(22)', 'pretty': '\\mu(22)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1, 1], 'subgroups': ['0.1.11', '0.1.2'], 'supgroups': ['0.1.44', '0.1.66', '0.1.110'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
22. label: 0.1.23
    {'component_group': '23.1', 'component_group_number': 1, 'components': 23, 'counts': [['a_1', [[1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{23}']]], 'identity_component': 'SO(1)', 'label': '0.1.23', 'label_components': [0, 1, 0, 23], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(23)', 'pretty': '\\mu(23)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1], 'subgroups': ['0.1.1'], 'supgroups': ['0.1.46', '0.1.69', '0.1.115'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
23. label: 0.1.24
    {'component_group': '24.2', 'component_group_number': 2, 'components': 24, 'counts': [['a_1', [[1, 1], [-1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{24}']]], 'identity_component': 'SO(1)', 'label': '0.1.24', 'label_components': [0, 1, 0, 24], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(24)', 'pretty': '\\mu(24)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1, 1], 'subgroups': ['0.1.12', '0.1.8'], 'supgroups': ['0.1.48', '0.1.72', '0.1.120'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
24. label: 0.1.25
    {'component_group': '25.1', 'component_group_number': 1, 'components': 25, 'counts': [['a_1', [[1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{25}']]], 'identity_component': 'SO(1)', 'label': '0.1.25', 'label_components': [0, 1, 0, 25], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(25)', 'pretty': '\\mu(25)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1], 'subgroups': ['0.1.5'], 'supgroups': ['0.1.50', '0.1.75', '0.1.125'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
25. label: 0.1.26
    {'component_group': '26.2', 'component_group_number': 2, 'components': 26, 'counts': [['a_1', [[1, 1], [-1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{26}']]], 'identity_component': 'SO(1)', 'label': '0.1.26', 'label_components': [0, 1, 0, 26], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(26)', 'pretty': '\\mu(26)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1, 1], 'subgroups': ['0.1.13', '0.1.2'], 'supgroups': ['0.1.52', '0.1.78', '0.1.130'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
26. label: 0.1.27
    {'component_group': '27.1', 'component_group_number': 1, 'components': 27, 'counts': [['a_1', [[1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{27}']]], 'identity_component': 'SO(1)', 'label': '0.1.27', 'label_components': [0, 1, 0, 27], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(27)', 'pretty': '\\mu(27)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1], 'subgroups': ['0.1.9'], 'supgroups': ['0.1.54', '0.1.81', '0.1.135'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
27. label: 0.1.28
    {'component_group': '28.2', 'component_group_number': 2, 'components': 28, 'counts': [['a_1', [[1, 1], [-1, 1]]]], 'degree': 1, 'fourth_trace_moment': 0, 'gens': [[['\\zeta_{28}']]], 'identity_component': 'SO(1)', 'label': '0.1.28', 'label_components': [0, 1, 0, 28], 'maximal': False, 'moments': [['a_1', 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], 'name': 'mu(28)', 'pretty': '\\mu(28)', 'rational': False, 'real_dimension': 0, 'second_trace_moment': 0, 'st0_label': '0.1.A', 'subgroup_multiplicities': [1, 1], 'subgroups': ['0.1.14', '0.1.4'], 'supgroups': ['0.1.56', '0.1.84', '0.1.140'], 'trace_zero_density': '0', 'weight': 0, 'zvector': []}
28. label: 0.1.29
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29. label: 0.1.30
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30. label: 0.1.31
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31. label: 0.1.32
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32. label: 0.1.33
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33. label: 0.1.34
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34. label: 0.1.35
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35. label: 0.1.36
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36. label: 0.1.37
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37. label: 0.1.38
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38. label: 0.1.39
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39. label: 0.1.40
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40. label: 0.1.41
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41. label: 0.1.42
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42. label: 0.1.43
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43. label: 0.1.44
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44. label: 0.1.45
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45. label: 0.1.46
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46. label: 0.1.47
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47. label: 0.1.48
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48. label: 0.1.49
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49. label: 0.1.50
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50. label: 0.1.51
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51. label: 0.1.52
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52. label: 0.1.53
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53. label: 0.1.54
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54. label: 0.1.55
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86. label: 0.1.87
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87. label: 0.1.88
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88. label: 0.1.89
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89. label: 0.1.90
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91. label: 0.1.92
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92. label: 0.1.93
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99. label: 0.1.100
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