Degree 11 component of odd part of canonical character of QSym

Return to Main table.

A note on our notation: We use hexidecimal notation for sanity in the indices. Thus a indicates a component with value 10, b indicates a component with value 11, and c indicates a component with value 12.

O₁₁ =

H_b - H_a1 - H₈₃ - H₆₅ - H₄₇ - H₂₉ + 1/2H₉₁₁ + H₈₂₁ + 1/2H₇₃₁ + 1/2H₇₁₃ + H₆₄₁
+ H₆₂₃ + 1/2H₅₅₁ + 1/2H₅₃₃ + 1/2H₅₁₅ + H₄₆₁ + H₄₄₃ + H₄₂₅ + 1/2H₃₇₁
+ 1/2H₃₅₃ + 1/2H₃₃₅ + 1/2H₃₁₇ + H₂₈₁ + H₂₆₃ + H₂₄₅ + H₂₂₇ + 1/2H₁₉₁
+ 1/2H₁₇₃ + 1/2H₁₅₅ + 1/2H₁₃₇ + 1/2H₁₁₉ -1/2H₈₁₁₁ -1/2H₇₂₁₁ -1/2H₇₁₂₁ -1/2H₆₃₁₁
- H₆₂₂₁ -1/2H₆₁₃₁ -1/2H₆₁₁₃ -1/2H₅₄₁₁ -1/2H₅₃₂₁ -1/2H₅₂₃₁ -1/2H₅₂₁₃ -1/2H₅₁₄₁ -1/2H₅₁₂₃
-1/2H₄₅₁₁ - H₄₄₂₁ -1/2H₄₃₃₁ -1/2H₄₃₁₃ - H₄₂₄₁ - H₄₂₂₃ -1/2H₄₁₅₁ -1/2H₄₁₃₃ -1/2H₄₁₁₅
-1/2H₃₆₁₁ -1/2H₃₅₂₁ -1/2H₃₄₃₁ -1/2H₃₄₁₃ -1/2H₃₃₄₁ -1/2H₃₃₂₃ -1/2H₃₂₅₁ -1/2H₃₂₃₃ -1/2H₃₂₁₅
-1/2H₃₁₆₁ -1/2H₃₁₄₃ -1/2H₃₁₂₅ -1/2H₂₇₁₁ - H₂₆₂₁ -1/2H₂₅₃₁ -1/2H₂₅₁₃ - H₂₄₄₁ - H₂₄₂₃
-1/2H₂₃₅₁ -1/2H₂₃₃₃ -1/2H₂₃₁₅ - H₂₂₆₁ - H₂₂₄₃ - H₂₂₂₅ -1/2H₂₁₇₁ -1/2H₂₁₅₃ -1/2H₂₁₃₅
-1/2H₂₁₁₇ -1/2H₁₈₁₁ -1/2H₁₇₂₁ -1/2H₁₆₃₁ -1/2H₁₆₁₃ -1/2H₁₅₄₁ -1/2H₁₅₂₃ -1/2H₁₄₅₁ -1/2H₁₄₃₃
-1/2H₁₄₁₅ -1/2H₁₃₆₁ -1/2H₁₃₄₃ -1/2H₁₃₂₅ -1/2H₁₂₇₁ -1/2H₁₂₅₃ -1/2H₁₂₃₅ -1/2H₁₂₁₇ -1/2H₁₁₈₁
-1/2H₁₁₆₃ -1/2H₁₁₄₅ -1/2H₁₁₂₇ + 3/8H₇₁₁₁₁ + 1/2H₆₂₁₁₁ + 1/2H₆₁₂₁₁ + 1/2H₆₁₁₂₁
+ 3/8H₅₃₁₁₁ + 1/2H₅₂₂₁₁ + 1/2H₅₂₁₂₁ + 3/8H₅₁₃₁₁ + 1/2H₅₁₂₂₁ + 3/8H₅₁₁₃₁
+ 3/8H₅₁₁₁₃ + 1/2H₄₄₁₁₁ + 1/2H₄₃₂₁₁ + 1/2H₄₃₁₂₁ + 1/2H₄₂₃₁₁ + H₄₂₂₂₁ + 1/2H₄₂₁₃₁
+ 1/2H₄₂₁₁₃ + 1/2H₄₁₄₁₁ + 1/2H₄₁₃₂₁ + 1/2H₄₁₂₃₁ + 1/2H₄₁₂₁₃ + 1/2H₄₁₁₄₁
+ 1/2H₄₁₁₂₃ + 3/8H₃₅₁₁₁ + 1/2H₃₄₂₁₁ + 1/2H₃₄₁₂₁ + 3/8H₃₃₃₁₁ + 1/2H₃₃₂₂₁
+ 3/8H₃₃₁₃₁ + 3/8H₃₃₁₁₃ + 1/2H₃₂₄₁₁ + 1/2H₃₂₃₂₁ + 1/2H₃₂₂₃₁ + 1/2H₃₂₂₁₃
+ 1/2H₃₂₁₄₁ + 1/2H₃₂₁₂₃ + 3/8H₃₁₅₁₁ + 1/2H₃₁₄₂₁ + 3/8H₃₁₃₃₁ + 3/8H₃₁₃₁₃
+ 1/2H₃₁₂₄₁ + 1/2H₃₁₂₂₃ + 3/8H₃₁₁₅₁ + 3/8H₃₁₁₃₃ + 3/8H₃₁₁₁₅ + 1/2H₂₆₁₁₁
+ 1/2H₂₅₂₁₁ + 1/2H₂₅₁₂₁ + 1/2H₂₄₃₁₁ + H₂₄₂₂₁ + 1/2H₂₄₁₃₁ + 1/2H₂₄₁₁₃ + 1/2H₂₃₄₁₁
+ 1/2H₂₃₃₂₁ + 1/2H₂₃₂₃₁ + 1/2H₂₃₂₁₃ + 1/2H₂₃₁₄₁ + 1/2H₂₃₁₂₃ + 1/2H₂₂₅₁₁
+ H₂₂₄₂₁ + 1/2H₂₂₃₃₁ + 1/2H₂₂₃₁₃ + H₂₂₂₄₁ + H₂₂₂₂₃ + 1/2H₂₂₁₅₁ + 1/2H₂₂₁₃₃
+ 1/2H₂₂₁₁₅ + 1/2H₂₁₆₁₁ + 1/2H₂₁₅₂₁ + 1/2H₂₁₄₃₁ + 1/2H₂₁₄₁₃ + 1/2H₂₁₃₄₁
+ 1/2H₂₁₃₂₃ + 1/2H₂₁₂₅₁ + 1/2H₂₁₂₃₃ + 1/2H₂₁₂₁₅ + 1/2H₂₁₁₆₁ + 1/2H₂₁₁₄₃
+ 1/2H₂₁₁₂₅ + 3/8H₁₇₁₁₁ + 1/2H₁₆₂₁₁ + 1/2H₁₆₁₂₁ + 3/8H₁₅₃₁₁ + 1/2H₁₅₂₂₁
+ 3/8H₁₅₁₃₁ + 3/8H₁₅₁₁₃ + 1/2H₁₄₄₁₁ + 1/2H₁₄₃₂₁ + 1/2H₁₄₂₃₁ + 1/2H₁₄₂₁₃
+ 1/2H₁₄₁₄₁ + 1/2H₁₄₁₂₃ + 3/8H₁₃₅₁₁ + 1/2H₁₃₄₂₁ + 3/8H₁₃₃₃₁ + 3/8H₁₃₃₁₃
+ 1/2H₁₃₂₄₁ + 1/2H₁₃₂₂₃ + 3/8H₁₃₁₅₁ + 3/8H₁₃₁₃₃ + 3/8H₁₃₁₁₅ + 1/2H₁₂₆₁₁
+ 1/2H₁₂₅₂₁ + 1/2H₁₂₄₃₁ + 1/2H₁₂₄₁₃ + 1/2H₁₂₃₄₁ + 1/2H₁₂₃₂₃ + 1/2H₁₂₂₅₁
+ 1/2H₁₂₂₃₃ + 1/2H₁₂₂₁₅ + 1/2H₁₂₁₆₁ + 1/2H₁₂₁₄₃ + 1/2H₁₂₁₂₅ + 3/8H₁₁₇₁₁
+ 1/2H₁₁₆₂₁ + 3/8H₁₁₅₃₁ + 3/8H₁₁₅₁₃ + 1/2H₁₁₄₄₁ + 1/2H₁₁₄₂₃ + 3/8H₁₁₃₅₁
+ 3/8H₁₁₃₃₃ + 3/8H₁₁₃₁₅ + 1/2H₁₁₂₆₁ + 1/2H₁₁₂₄₃ + 1/2H₁₁₂₂₅ + 3/8H₁₁₁₇₁
+ 3/8H₁₁₁₅₃ + 3/8H₁₁₁₃₅ + 3/8H₁₁₁₁₇ -3/8H₆₁₁₁₁₁ -3/8H₅₂₁₁₁₁ -3/8H₅₁₂₁₁₁ -3/8H₅₁₁₂₁₁
-3/8H₅₁₁₁₂₁ -3/8H₄₃₁₁₁₁ -1/2H₄₂₂₁₁₁ -1/2H₄₂₁₂₁₁ -1/2H₄₂₁₁₂₁ -3/8H₄₁₃₁₁₁ -1/2H₄₁₂₂₁₁
-1/2H₄₁₂₁₂₁ -3/8H₄₁₁₃₁₁ -1/2H₄₁₁₂₂₁ -3/8H₄₁₁₁₃₁ -3/8H₄₁₁₁₁₃ -3/8H₃₄₁₁₁₁ -3/8H₃₃₂₁₁₁
-3/8H₃₃₁₂₁₁ -3/8H₃₃₁₁₂₁ -3/8H₃₂₃₁₁₁ -1/2H₃₂₂₂₁₁ -1/2H₃₂₂₁₂₁ -3/8H₃₂₁₃₁₁ -1/2H₃₂₁₂₂₁
-3/8H₃₂₁₁₃₁ -3/8H₃₂₁₁₁₃ -3/8H₃₁₄₁₁₁ -3/8H₃₁₃₂₁₁ -3/8H₃₁₃₁₂₁ -3/8H₃₁₂₃₁₁ -1/2H₃₁₂₂₂₁
-3/8H₃₁₂₁₃₁ -3/8H₃₁₂₁₁₃ -3/8H₃₁₁₄₁₁ -3/8H₃₁₁₃₂₁ -3/8H₃₁₁₂₃₁ -3/8H₃₁₁₂₁₃ -3/8H₃₁₁₁₄₁
-3/8H₃₁₁₁₂₃ -3/8H₂₅₁₁₁₁ -1/2H₂₄₂₁₁₁ -1/2H₂₄₁₂₁₁ -1/2H₂₄₁₁₂₁ -3/8H₂₃₃₁₁₁ -1/2H₂₃₂₂₁₁
-1/2H₂₃₂₁₂₁ -3/8H₂₃₁₃₁₁ -1/2H₂₃₁₂₂₁ -3/8H₂₃₁₁₃₁ -3/8H₂₃₁₁₁₃ -1/2H₂₂₄₁₁₁ -1/2H₂₂₃₂₁₁
-1/2H₂₂₃₁₂₁ -1/2H₂₂₂₃₁₁ - H₂₂₂₂₂₁ -1/2H₂₂₂₁₃₁ -1/2H₂₂₂₁₁₃ -1/2H₂₂₁₄₁₁ -1/2H₂₂₁₃₂₁ -1/2H₂₂₁₂₃₁
-1/2H₂₂₁₂₁₃ -1/2H₂₂₁₁₄₁ -1/2H₂₂₁₁₂₃ -3/8H₂₁₅₁₁₁ -1/2H₂₁₄₂₁₁ -1/2H₂₁₄₁₂₁ -3/8H₂₁₃₃₁₁
-1/2H₂₁₃₂₂₁ -3/8H₂₁₃₁₃₁ -3/8H₂₁₃₁₁₃ -1/2H₂₁₂₄₁₁ -1/2H₂₁₂₃₂₁ -1/2H₂₁₂₂₃₁ -1/2H₂₁₂₂₁₃
-1/2H₂₁₂₁₄₁ -1/2H₂₁₂₁₂₃ -3/8H₂₁₁₅₁₁ -1/2H₂₁₁₄₂₁ -3/8H₂₁₁₃₃₁ -3/8H₂₁₁₃₁₃ -1/2H₂₁₁₂₄₁
-1/2H₂₁₁₂₂₃ -3/8H₂₁₁₁₅₁ -3/8H₂₁₁₁₃₃ -3/8H₂₁₁₁₁₅ -3/8H₁₆₁₁₁₁ -3/8H₁₅₂₁₁₁ -3/8H₁₅₁₂₁₁
-3/8H₁₅₁₁₂₁ -3/8H₁₄₃₁₁₁ -1/2H₁₄₂₂₁₁ -1/2H₁₄₂₁₂₁ -3/8H₁₄₁₃₁₁ -1/2H₁₄₁₂₂₁ -3/8H₁₄₁₁₃₁
-3/8H₁₄₁₁₁₃ -3/8H₁₃₄₁₁₁ -3/8H₁₃₃₂₁₁ -3/8H₁₃₃₁₂₁ -3/8H₁₃₂₃₁₁ -1/2H₁₃₂₂₂₁ -3/8H₁₃₂₁₃₁
-3/8H₁₃₂₁₁₃ -3/8H₁₃₁₄₁₁ -3/8H₁₃₁₃₂₁ -3/8H₁₃₁₂₃₁ -3/8H₁₃₁₂₁₃ -3/8H₁₃₁₁₄₁ -3/8H₁₃₁₁₂₃
-3/8H₁₂₅₁₁₁ -1/2H₁₂₄₂₁₁ -1/2H₁₂₄₁₂₁ -3/8H₁₂₃₃₁₁ -1/2H₁₂₃₂₂₁ -3/8H₁₂₃₁₃₁ -3/8H₁₂₃₁₁₃
-1/2H₁₂₂₄₁₁ -1/2H₁₂₂₃₂₁ -1/2H₁₂₂₂₃₁ -1/2H₁₂₂₂₁₃ -1/2H₁₂₂₁₄₁ -1/2H₁₂₂₁₂₃ -3/8H₁₂₁₅₁₁
-1/2H₁₂₁₄₂₁ -3/8H₁₂₁₃₃₁ -3/8H₁₂₁₃₁₃ -1/2H₁₂₁₂₄₁ -1/2H₁₂₁₂₂₃ -3/8H₁₂₁₁₅₁ -3/8H₁₂₁₁₃₃
-3/8H₁₂₁₁₁₅ -3/8H₁₁₆₁₁₁ -3/8H₁₁₅₂₁₁ -3/8H₁₁₅₁₂₁ -3/8H₁₁₄₃₁₁ -1/2H₁₁₄₂₂₁ -3/8H₁₁₄₁₃₁
-3/8H₁₁₄₁₁₃ -3/8H₁₁₃₄₁₁ -3/8H₁₁₃₃₂₁ -3/8H₁₁₃₂₃₁ -3/8H₁₁₃₂₁₃ -3/8H₁₁₃₁₄₁ -3/8H₁₁₃₁₂₃
-3/8H₁₁₂₅₁₁ -1/2H₁₁₂₄₂₁ -3/8H₁₁₂₃₃₁ -3/8H₁₁₂₃₁₃ -1/2H₁₁₂₂₄₁ -1/2H₁₁₂₂₂₃ -3/8H₁₁₂₁₅₁
-3/8H₁₁₂₁₃₃ -3/8H₁₁₂₁₁₅ -3/8H₁₁₁₆₁₁ -3/8H₁₁₁₅₂₁ -3/8H₁₁₁₄₃₁ -3/8H₁₁₁₄₁₃ -3/8H₁₁₁₃₄₁
-3/8H₁₁₁₃₂₃ -3/8H₁₁₁₂₅₁ -3/8H₁₁₁₂₃₃ -3/8H₁₁₁₂₁₅ -3/8H₁₁₁₁₆₁ -3/8H₁₁₁₁₄₃ -3/8H₁₁₁₁₂₅
+ 5/16H_5111111 + 3/8H_4211111 + 3/8H_4121111 + 3/8H_4112111 + 3/8H_4111211 + 3/8H_4111121
+ 5/16H_3311111 + 3/8H_3221111 + 3/8H_3212111 + 3/8H_3211211 + 3/8H_3211121 + 5/16H_3131111
+ 3/8H_3122111 + 3/8H_3121211 + 3/8H_3121121 + 5/16H_3113111 + 3/8H_3112211 + 3/8H_3112121
+ 5/16H_3111311 + 3/8H_3111221 + 5/16H_3111131 + 5/16H_3111113 + 3/8H_2411111 + 3/8H_2321111
+ 3/8H_2312111 + 3/8H_2311211 + 3/8H_2311121 + 3/8H_2231111 + 1/2H_2222111 + 1/2H_2221211
+ 1/2H_2221121 + 3/8H_2213111 + 1/2H_2212211 + 1/2H_2212121 + 3/8H_2211311 + 1/2H_2211221
+ 3/8H_2211131 + 3/8H_2211113 + 3/8H_2141111 + 3/8H_2132111 + 3/8H_2131211 + 3/8H_2131121
+ 3/8H_2123111 + 1/2H_2122211 + 1/2H_2122121 + 3/8H_2121311 + 1/2H_2121221 + 3/8H_2121131
+ 3/8H_2121113 + 3/8H_2114111 + 3/8H_2113211 + 3/8H_2113121 + 3/8H_2112311 + 1/2H_2112221
+ 3/8H_2112131 + 3/8H_2112113 + 3/8H_2111411 + 3/8H_2111321 + 3/8H_2111231 + 3/8H_2111213
+ 3/8H_2111141 + 3/8H_2111123 + 5/16H_1511111 + 3/8H_1421111 + 3/8H_1412111 + 3/8H_1411211
+ 3/8H_1411121 + 5/16H_1331111 + 3/8H_1322111 + 3/8H_1321211 + 3/8H_1321121 + 5/16H_1313111
+ 3/8H_1312211 + 3/8H_1312121 + 5/16H_1311311 + 3/8H_1311221 + 5/16H_1311131 + 5/16H_1311113
+ 3/8H_1241111 + 3/8H_1232111 + 3/8H_1231211 + 3/8H_1231121 + 3/8H_1223111 + 1/2H_1222211
+ 1/2H_1222121 + 3/8H_1221311 + 1/2H_1221221 + 3/8H_1221131 + 3/8H_1221113 + 3/8H_1214111
+ 3/8H_1213211 + 3/8H_1213121 + 3/8H_1212311 + 1/2H_1212221 + 3/8H_1212131 + 3/8H_1212113
+ 3/8H_1211411 + 3/8H_1211321 + 3/8H_1211231 + 3/8H_1211213 + 3/8H_1211141 + 3/8H_1211123
+ 5/16H_1151111 + 3/8H_1142111 + 3/8H_1141211 + 3/8H_1141121 + 5/16H_1133111 + 3/8H_1132211
+ 3/8H_1132121 + 5/16H_1131311 + 3/8H_1131221 + 5/16H_1131131 + 5/16H_1131113 + 3/8H_1124111
+ 3/8H_1123211 + 3/8H_1123121 + 3/8H_1122311 + 1/2H_1122221 + 3/8H_1122131 + 3/8H_1122113
+ 3/8H_1121411 + 3/8H_1121321 + 3/8H_1121231 + 3/8H_1121213 + 3/8H_1121141 + 3/8H_1121123
+ 5/16H_1115111 + 3/8H_1114211 + 3/8H_1114121 + 5/16H_1113311 + 3/8H_1113221 + 5/16H_1113131
+ 5/16H_1113113 + 3/8H_1112411 + 3/8H_1112321 + 3/8H_1112231 + 3/8H_1112213 + 3/8H_1112141
+ 3/8H_1112123 + 5/16H_1111511 + 3/8H_1111421 + 5/16H_1111331 + 5/16H_1111313 + 3/8H_1111241
+ 3/8H_1111223 + 5/16H_1111151 + 5/16H_1111133 + 5/16H_1111115 -5/16H_41111111 -5/16H_32111111
-5/16H_31211111 -5/16H_31121111 -5/16H_31112111 -5/16H_31111211 -5/16H_31111121 -5/16H_23111111
-3/8H_22211111 -3/8H_22121111 -3/8H_22112111 -3/8H_22111211 -3/8H_22111121 -5/16H_21311111 -3/8H_21221111
-3/8H_21212111 -3/8H_21211211 -3/8H_21211121 -5/16H_21131111 -3/8H_21122111 -3/8H_21121211 -3/8H_21121121
-5/16H_21113111 -3/8H_21112211 -3/8H_21112121 -5/16H_21111311 -3/8H_21111221 -5/16H_21111131
-5/16H_21111113 -5/16H_14111111 -5/16H_13211111 -5/16H_13121111 -5/16H_13112111 -5/16H_13111211
-5/16H_13111121 -5/16H_12311111 -3/8H_12221111 -3/8H_12212111 -3/8H_12211211 -3/8H_12211121
-5/16H_12131111 -3/8H_12122111 -3/8H_12121211 -3/8H_12121121 -5/16H_12113111 -3/8H_12112211
-3/8H_12112121 -5/16H_12111311 -3/8H_12111221 -5/16H_12111131 -5/16H_12111113 -5/16H_11411111
-5/16H_11321111 -5/16H_11312111 -5/16H_11311211 -5/16H_11311121 -5/16H_11231111 -3/8H_11222111
-3/8H_11221211 -3/8H_11221121 -5/16H_11213111 -3/8H_11212211 -3/8H_11212121 -5/16H_11211311
-3/8H_11211221 -5/16H_11211131 -5/16H_11211113 -5/16H_11141111 -5/16H_11132111 -5/16H_11131211
-5/16H_11131121 -5/16H_11123111 -3/8H_11122211 -3/8H_11122121 -5/16H_11121311 -3/8H_11121221
-5/16H_11121131 -5/16H_11121113 -5/16H_11114111 -5/16H_11113211 -5/16H_11113121 -5/16H_11112311
-3/8H_11112221 -5/16H_11112131 -5/16H_11112113 -5/16H_11111411 -5/16H_11111321 -5/16H_11111231
-5/16H_11111213 -5/16H_11111141 -5/16H_11111123 + 35/128H_311111111 + 5/16H_221111111
+ 5/16H_212111111 + 5/16H_211211111 + 5/16H_211121111 + 5/16H_211112111 + 5/16H_211111211
+ 5/16H_211111121 + 35/128H_131111111 + 5/16H_122111111 + 5/16H_121211111 + 5/16H_121121111
+ 5/16H_121112111 + 5/16H_121111211 + 5/16H_121111121 + 35/128H_113111111 + 5/16H_112211111
+ 5/16H_112121111 + 5/16H_112112111 + 5/16H_112111211 + 5/16H_112111121 + 35/128H_111311111
+ 5/16H_111221111 + 5/16H_111212111 + 5/16H_111211211 + 5/16H_111211121 + 35/128H_111131111
+ 5/16H_111122111 + 5/16H_111121211 + 5/16H_111121121 + 35/128H_111113111 + 5/16H_111112211
+ 5/16H_111112121 + 35/128H_111111311 + 5/16H_111111221 + 35/128H_111111131 + 35/128H_111111113
-35/128H_2111111111 -35/128H_1211111111 -35/128H_1121111111 -35/128H_1112111111 -35/128H_1111211111
-35/128H_1111121111 -35/128H_1111112111 -35/128H_1111111211 -35/128H_1111111121 + 63/256H_11111111111.

O₁₂ =

Click here.

Return to Main table.

Created 23 July 2003 by Frank Sottile