History of Dimensions of the irreducible representations of the exceptional simple Lie algebras

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compare when who what
2026-09-16 03:08 zeta3 table-repair@1.107+312a56e4 keep representation definition concise current reviewed
2026-09-16 03:07 zeta3 table-repair@1.107+312a56e4 clarify Dynkin-label convention and checked dimensions
2026-09-16 02:41 zeta3 table-build@1.123+9845865c shorten definition after audit
2026-09-16 02:39 zeta3 table-build@1.123+9845865c settle inclusive bounds and direct Weyl-product checks
2026-09-16 02:39 zeta3 with Code table-build@1.123+9845865c exceptional Lie algebra representation dimensions
2026-09-16 02:30 zeta3 table-build@1.123+9845865c claim proposal 141 representation dimensions

What changed between 2026-09-16 02:30 and 2026-09-16 02:39

from line 115 (2399 lines, 2397 more than before) @@ -115,2 +115,2399 @@
 Display properties:   number-header: $\dim V_{\mathfrak g}(\lambda)$+Numbers:+- params:+    algebra: G2+    weight: (1,0)+  number: '7'+- params:+    algebra: G2+    weight: (0,1)+  number: '14'+- params:+    algebra: G2+    weight: (2,0)+  number: '27'+- params:+    algebra: G2+    weight: (1,1)+  number: '64'+- params:+    algebra: G2+    weight: (0,2)+  number: '77'+- params:+    algebra: G2+    weight: (3,0)+  number: '77'+- params:+    algebra: G2+    weight: (4,0)+  number: '182'+- params:+    algebra: G2+    weight: (2,1)+  number: '189'+- params:+    algebra: G2+    weight: (0,3)+  number: '273'+- params:+    algebra: G2+    weight: (1,2)+  number: '286'+- params:+    algebra: G2+    weight: (5,0)+  number: '378'+- params:+    algebra: G2+    weight: (3,1)+  number: '448'+- params:+    algebra: G2+    weight: (6,0)+  number: '714'+- params:+    algebra: G2+    weight: (2,2)+  number: '729'+- params:+    algebra: G2+    weight: (0,4)+  number: '748'+- params:+    algebra: G2+    weight: (1,3)+  number: '896'+- params:+    algebra: G2+    weight: (4,1)+  number: '924'+- params:+    algebra: G2+    weight: (7,0)+  number: '1254'+- params:+    algebra: G2+    weight: (3,2)+  number: '1547'+- params:+    algebra: G2+    weight: (5,1)+  number: '1728'+- params:+    algebra: G2+    weight: (0,5)+  number: '1729'+- params:+    algebra: G2+    weight: (2,3)+  number: '2079'+- params:+    algebra: G2+    weight: (8,0)+  number: '2079'+- params:+    algebra: G2+    weight: (1,4)+  number: '2261'+- params:+    algebra: G2+    weight: (4,2)+  number: '2926'+- params:+    algebra: G2+    weight: (6,1)+  number: '3003'+- params:+    algebra: G2+    weight: (9,0)+  number: '3289'+- params:+    algebra: G2+    weight: (0,6)+  number: '3542'+- params:+    algebra: G2+    weight: (3,3)+  number: '4096'+- params:+    algebra: G2+    weight: (2,4)+  number: '4914'+- params:+    algebra: G2+    weight: (1,5)+  number: '4928'+- params:+    algebra: G2+    weight: (7,1)+  number: '4928'+- params:+    algebra: G2+    weight: (10,0)+  number: '5005'+- params:+    algebra: G2+    weight: (5,2)+  number: '5103'+- params:+    algebra: G2+    weight: (0,7)+  number: '6630'+- params:+    algebra: G2+    weight: (4,3)+  number: '7293'+- params:+    algebra: G2+    weight: (11,0)+  number: '7371'+- params:+    algebra: G2+    weight: (8,1)+  number: '7722'+- params:+    algebra: G2+    weight: (6,2)+  number: '8372'+- params:+    algebra: G2+    weight: (3,4)+  number: '9177'+- params:+    algebra: G2+    weight: (1,6)+  number: '9660'+- params:+    algebra: G2+    weight: (2,5)+  number: '10206'+- params:+    algebra: G2+    weight: (12,0)+  number: '10556'+- params:+    algebra: G2+    weight: (0,8)+  number: '11571'+- params:+    algebra: G2+    weight: (9,1)+  number: '11648'+- params:+    algebra: G2+    weight: (5,3)+  number: '12096'+- params:+    algebra: G2+    weight: (7,2)+  number: '13090'+- params:+    algebra: G2+    weight: (13,0)+  number: '14756'+- params:+    algebra: G2+    weight: (4,4)+  number: '15625'+- params:+    algebra: G2+    weight: (10,1)+  number: '17017'+- params:+    algebra: G2+    weight: (1,7)+  number: '17472'+- params:+    algebra: G2+    weight: (3,5)+  number: '18304'+- params:+    algebra: G2+    weight: (6,3)+  number: '19019'+- params:+    algebra: G2+    weight: (0,9)+  number: '19096'+- params:+    algebra: G2+    weight: (2,6)+  number: '19278'+- params:+    algebra: G2+    weight: (8,2)+  number: '19683'+- params:+    algebra: G2+    weight: (14,0)+  number: '20196'+- params:+    algebra: G2+    weight: (11,1)+  number: '24192'+- params:+    algebra: G2+    weight: (5,4)+  number: '24948'+- params:+    algebra: G2+    weight: (15,0)+  number: '27132'+- params:+    algebra: G2+    weight: (9,2)+  number: '28652'+- params:+    algebra: G2+    weight: (7,3)+  number: '28672'+- params:+    algebra: G2+    weight: (1,8)+  number: '29667'+- params:+    algebra: G2+    weight: (4,5)+  number: '30107'+- params:+    algebra: G2+    weight: (0,10)+  number: '30107'+- params:+    algebra: G2+    weight: (3,6)+  number: '33495'+- params:+    algebra: G2+    weight: (12,1)+  number: '33592'+- params:+    algebra: G2+    weight: (2,7)+  number: '33858'+- params:+    algebra: G2+    weight: (16,0)+  number: '35853'+- params:+    algebra: G2+    weight: (6,4)+  number: '37961'+- params:+    algebra: G2+    weight: (10,2)+  number: '40579'+- params:+    algebra: G2+    weight: (8,3)+  number: '41769'+- params:+    algebra: G2+    weight: (0,11)+  number: '45695'+- params:+    algebra: G2+    weight: (13,1)+  number: '45696'+- params:+    algebra: G2+    weight: (5,5)+  number: '46656'+- params:+    algebra: G2+    weight: (17,0)+  number: '46683'+- params:+    algebra: G2+    weight: (1,9)+  number: '47872'+- params:+    algebra: G2+    weight: (4,6)+  number: '53599'+- params:+    algebra: G2+    weight: (7,4)+  number: '55614'+- params:+    algebra: G2+    weight: (2,8)+  number: '56133'+- params:+    algebra: G2+    weight: (11,2)+  number: '56133'+- params:+    algebra: G2+    weight: (3,7)+  number: '57344'+- params:+    algebra: G2+    weight: (9,3)+  number: '59136'+- params:+    algebra: G2+    weight: (18,0)+  number: '59983'+- params:+    algebra: G2+    weight: (14,1)+  number: '61047'+- params:+    algebra: G2+    weight: (0,12)+  number: '67158'+- params:+    algebra: G2+    weight: (6,5)+  number: '69160'+- params:+    algebra: G2+    weight: (1,10)+  number: '74074'+- params:+    algebra: G2+    weight: (12,2)+  number: '76076'+- params:+    algebra: G2+    weight: (19,0)+  number: '76153'+- params:+    algebra: G2+    weight: (8,4)+  number: '79002'+- params:+    algebra: G2+    weight: (15,1)+  number: '80256'+- params:+    algebra: G2+    weight: (5,6)+  number: '81081'+- params:+    algebra: G2+    weight: (10,3)+  number: '81719'+- params:+    algebra: G2+    weight: (2,9)+  number: '88803'+- params:+    algebra: G2+    weight: (4,7)+  number: '89726'+- params:+    algebra: G2+    weight: (3,8)+  number: '93093'+- params:+    algebra: G2+    weight: (20,0)+  number: '95634'+- params:+    algebra: G2+    weight: (0,13)+  number: '96019'+- params:+    algebra: G2+    weight: (7,5)+  number: '99008'+- params:+    algebra: G2+    weight: (13,2)+  number: '101269'+- params:+    algebra: G2+    weight: (16,1)+  number: '104006'+- params:+    algebra: G2+    weight: (9,4)+  number: '109375'+- params:+    algebra: G2+    weight: (11,3)+  number: '110592'+- params:+    algebra: G2+    weight: (1,11)+  number: '110656'+- params:+    algebra: G2+    weight: (6,6)+  number: '117649'+- params:+    algebra: G2+    weight: (21,0)+  number: '118910'+- params:+    algebra: G2+    weight: (14,2)+  number: '132678'+- params:+    algebra: G2+    weight: (5,7)+  number: '133056'+- params:+    algebra: G2+    weight: (17,1)+  number: '133056'+- params:+    algebra: G2+    weight: (0,14)+  number: '134044'+- params:+    algebra: G2+    weight: (2,10)+  number: '135135'+- params:+    algebra: G2+    weight: (8,5)+  number: '137781'+- params:+    algebra: G2+    weight: (4,8)+  number: '142968'+- params:+    algebra: G2+    weight: (3,9)+  number: '144704'+- params:+    algebra: G2+    weight: (22,0)+  number: '146510'+- params:+    algebra: G2+    weight: (12,3)+  number: '146965'+- params:+    algebra: G2+    weight: (10,4)+  number: '148148'+- params:+    algebra: G2+    weight: (1,12)+  number: '160433'+- params:+    algebra: G2+    weight: (7,6)+  number: '165242'+- params:+    algebra: G2+    weight: (18,1)+  number: '168245'+- params:+    algebra: G2+    weight: (15,2)+  number: '171380'+- params:+    algebra: G2+    weight: (23,0)+  number: '179010'+- params:+    algebra: G2+    weight: (0,15)+  number: '183260'+- params:+    algebra: G2+    weight: (9,5)+  number: '187264'+- params:+    algebra: G2+    weight: (6,7)+  number: '189658'+- params:+    algebra: G2+    weight: (13,3)+  number: '192192'+- params:+    algebra: G2+    weight: (11,4)+  number: '196911'+- params:+    algebra: G2+    weight: (2,11)+  number: '199017'+- params:+    algebra: G2+    weight: (5,8)+  number: '208494'+- params:+    algebra: G2+    weight: (19,1)+  number: '210496'+- params:+    algebra: G2+    weight: (3,10)+  number: '216931'+- params:+    algebra: G2+    weight: (24,0)+  number: '217035'+- params:+    algebra: G2+    weight: (16,2)+  number: '218569'+- params:+    algebra: G2+    weight: (4,9)+  number: '218750'+- params:+    algebra: G2+    weight: (8,6)+  number: '226044'+- params:+    algebra: G2+    weight: (1,13)+  number: '226688'+- params:+    algebra: G2+    weight: (0,16)+  number: '245973'+- params:+    algebra: G2+    weight: (14,3)+  number: '247779'+- params:+    algebra: G2+    weight: (10,5)+  number: '249458'+- params:+    algebra: G2+    weight: (12,4)+  number: '257439'+- params:+    algebra: G2+    weight: (20,1)+  number: '260820'+- params:+    algebra: G2+    weight: (25,0)+  number: '261261'+- params:+    algebra: G2+    weight: (7,7)+  number: '262144'+- params:+    algebra: G2+    weight: (17,2)+  number: '275562'+- params:+    algebra: G2+    weight: (2,12)+  number: '285012'+- params:+    algebra: G2+    weight: (6,8)+  number: '292740'+- params:+    algebra: G2+    weight: (9,6)+  number: '302498'+- params:+    algebra: G2+    weight: (26,0)+  number: '312417'+- params:+    algebra: G2+    weight: (1,14)+  number: '313208'+- params:+    algebra: G2+    weight: (5,9)+  number: '314496'+- params:+    algebra: G2+    weight: (3,11)+  number: '315392'+- params:+    algebra: G2+    weight: (15,3)+  number: '315392'+- params:+    algebra: G2+    weight: (21,1)+  number: '320320'+- params:+    algebra: G2+    weight: (4,10)+  number: '323532'+- params:+    algebra: G2+    weight: (0,17)+  number: '324786'+- params:+    algebra: G2+    weight: (11,5)+  number: '326592'+- params:+    algebra: G2+    weight: (13,4)+  number: '331702'+- params:+    algebra: G2+    weight: (18,2)+  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