Formats: - HTML - YAML - JSON - 2026-03-04T21:24:30.864297
Query: /api/gps_st/?_offset=0
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{'character_diagonal': [1, 1, 2, 3, 3, 5, 3, 8, 8, 9], 'character_matrix': [[1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 0, 2, 0, 0, 0, 0, 2, 0, 3], [0, 0, 0, 3, 0, 1, 0, 2, 0, 0], [0, 1, 0, 0, 3, 0, 2, 0, 4, 0], [1, 0, 0, 1, 0, 5, 0, 1, 0, 0], [0, 1, 0, 0, 2, 0, 3, 0, 3, 0], [0, 0, 2, 2, 0, 1, 0, 8, 0, 6], [0, 1, 0, 0, 4, 0, 3, 0, 8, 0], [0, 0, 3, 0, 0, 0, 0, 6, 0, 9]], 'component_group': '8.3', 'component_group_number': 3, 'components': 8, 'counts': [['a_1', [[0, 5]]]], 'degree': 4, 'first_a2_moment': 1, 'fourth_trace_moment': 6, 'gens': [[['\\zeta_8', '0', '0', '0'], ['0', '\\zeta_8', '0', '0'], ['0', '0', '\\zeta_8^7', '0'], ['0', '0', '0', '\\zeta_8^7']], [['0', '0', '0', '1'], ['0', '0', '-1', '0'], ['0', '-1', '0', '0'], ['1', '0', '0', '0']]], 'id': 49, 'identity_component': 'SU(2)_2', 'label': '1.4.E.8.3a', 'label_components': [1, 4, 4, 8, 3, 0], 'maximal': True, 'moments': [['a_1', 1, 0, 1, 0, 6, 0, 50, 0, 504, 0, 5712, 0, 69696], ['a_2', 1, 1, 3, 7, 26, 96, 422, 1926, 9326, 46402, 236810, 1229394, 6474228]], 'name': 'J(E_4)', 'old_label': '1.4.3.8.3a', 'pretty': 'J(E_4)', 'rational': True, 'real_dimension': 3, 'second_trace_moment': 1, 'simplex': [1, 1, 3, 3, 6, 7, 11, 23, 50, 26, 45, 98, 220, 504, 96, 198, 446, 1028, 2408, 5712, 422, 918, 2124, 5000, 11920, 28704, 69696], 'st0_label': '1.4.E', 'subgroup_multiplicities': [1, 2], 'subgroups': ['1.4.E.4.1a', '1.4.E.4.2a'], 'supgroups': [], 'trace_histogram': 'data:image/png;base64,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', 'trace_zero_density': '5/8', 'weight': 1, 'zvector': [5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]}