Degree 12 component of even character of QSym

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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.
E12   =     Hc -1/2Hb1 -1/2H93 -1/2H75 -1/2H57 -1/2H39 -1/2H1b + 1/2H921 + 1/2H741 + 1/2H723
    + 1/2H561 + 1/2H543 + 1/2H525 + 1/2H381 + 1/2H363 + 1/2H345 + 1/2H327
    + 1/2H1a1 + 1/2H183 + 1/2H165 + 1/2H147 + 1/2H129 -1/8H9111 -1/8H7311 -1/2H7221
    -1/8H7131 -1/8H7113 -1/8H5511 -1/2H5421 -1/8H5331 -1/8H5313 -1/2H5241 -1/2H5223 -1/8H5151
    -1/8H5133 -1/8H5115 -1/8H3711 -1/2H3621 -1/8H3531 -1/8H3513 -1/2H3441 -1/2H3423 -1/8H3351
    -1/8H3333 -1/8H3315 -1/2H3261 -1/2H3243 -1/2H3225 -1/8H3171 -1/8H3153 -1/8H3135 -1/8H3117
    -1/8H1911 -1/2H1821 -1/8H1731 -1/8H1713 -1/2H1641 -1/2H1623 -1/8H1551 -1/8H1533 -1/8H1515
    -1/2H1461 -1/2H1443 -1/2H1425 -1/8H1371 -1/8H1353 -1/8H1335 -1/8H1317 -1/2H1281 -1/2H1263
    -1/2H1245 -1/2H1227 -1/8H1191 -1/8H1173 -1/8H1155 -1/8H1137 -1/8H1119 + 1/8H72111
    + 1/8H71211 + 1/8H71121 + 1/8H54111 + 1/8H53211 + 1/8H53121 + 1/8H52311
    + 1/2H52221 + 1/8H52131 + 1/8H52113 + 1/8H51411 + 1/8H51321 + 1/8H51231
    + 1/8H51213 + 1/8H51141 + 1/8H51123 + 1/8H36111 + 1/8H35211 + 1/8H35121
    + 1/8H34311 + 1/2H34221 + 1/8H34131 + 1/8H34113 + 1/8H33411 + 1/8H33321
    + 1/8H33231 + 1/8H33213 + 1/8H33141 + 1/8H33123 + 1/8H32511 + 1/2H32421
    + 1/8H32331 + 1/8H32313 + 1/2H32241 + 1/2H32223 + 1/8H32151 + 1/8H32133
    + 1/8H32115 + 1/8H31611 + 1/8H31521 + 1/8H31431 + 1/8H31413 + 1/8H31341
    + 1/8H31323 + 1/8H31251 + 1/8H31233 + 1/8H31215 + 1/8H31161 + 1/8H31143
    + 1/8H31125 + 1/8H18111 + 1/8H17211 + 1/8H17121 + 1/8H16311 + 1/2H16221
    + 1/8H16131 + 1/8H16113 + 1/8H15411 + 1/8H15321 + 1/8H15231 + 1/8H15213
    + 1/8H15141 + 1/8H15123 + 1/8H14511 + 1/2H14421 + 1/8H14331 + 1/8H14313
    + 1/2H14241 + 1/2H14223 + 1/8H14151 + 1/8H14133 + 1/8H14115 + 1/8H13611
    + 1/8H13521 + 1/8H13431 + 1/8H13413 + 1/8H13341 + 1/8H13323 + 1/8H13251
    + 1/8H13233 + 1/8H13215 + 1/8H13161 + 1/8H13143 + 1/8H13125 + 1/8H12711
    + 1/2H12621 + 1/8H12531 + 1/8H12513 + 1/2H12441 + 1/2H12423 + 1/8H12351
    + 1/8H12333 + 1/8H12315 + 1/2H12261 + 1/2H12243 + 1/2H12225 + 1/8H12171
    + 1/8H12153 + 1/8H12135 + 1/8H12117 + 1/8H11811 + 1/8H11721 + 1/8H11631
    + 1/8H11613 + 1/8H11541 + 1/8H11523 + 1/8H11451 + 1/8H11433 + 1/8H11415
    + 1/8H11361 + 1/8H11343 + 1/8H11325 + 1/8H11271 + 1/8H11253 + 1/8H11235
    + 1/8H11217 + 1/8H11181 + 1/8H11163 + 1/8H11145 + 1/8H11127 -1/16H711111 -1/16H531111
    -1/8H522111 -1/8H521211 -1/8H521121 -1/16H513111 -1/8H512211 -1/8H512121 -1/16H511311
    -1/8H511221 -1/16H511131 -1/16H511113 -1/16H351111 -1/8H342111 -1/8H341211 -1/8H341121
    -1/16H333111 -1/8H332211 -1/8H332121 -1/16H331311 -1/8H331221 -1/16H331131 -1/16H331113
    -1/8H324111 -1/8H323211 -1/8H323121 -1/8H322311 -1/2H322221 -1/8H322131 -1/8H322113
    -1/8H321411 -1/8H321321 -1/8H321231 -1/8H321213 -1/8H321141 -1/8H321123 -1/16H315111
    -1/8H314211 -1/8H314121 -1/16H313311 -1/8H313221 -1/16H313131 -1/16H313113 -1/8H312411
    -1/8H312321 -1/8H312231 -1/8H312213 -1/8H312141 -1/8H312123 -1/16H311511 -1/8H311421
    -1/16H311331 -1/16H311313 -1/8H311241 -1/8H311223 -1/16H311151 -1/16H311133 -1/16H311115
    -1/16H171111 -1/8H162111 -1/8H161211 -1/8H161121 -1/16H153111 -1/8H152211 -1/8H152121
    -1/16H151311 -1/8H151221 -1/16H151131 -1/16H151113 -1/8H144111 -1/8H143211 -1/8H143121
    -1/8H142311 -1/2H142221 -1/8H142131 -1/8H142113 -1/8H141411 -1/8H141321 -1/8H141231
    -1/8H141213 -1/8H141141 -1/8H141123 -1/16H135111 -1/8H134211 -1/8H134121 -1/16H133311
    -1/8H133221 -1/16H133131 -1/16H133113 -1/8H132411 -1/8H132321 -1/8H132231 -1/8H132213
    -1/8H132141 -1/8H132123 -1/16H131511 -1/8H131421 -1/16H131331 -1/16H131313 -1/8H131241
    -1/8H131223 -1/16H131151 -1/16H131133 -1/16H131115 -1/8H126111 -1/8H125211 -1/8H125121
    -1/8H124311 -1/2H124221 -1/8H124131 -1/8H124113 -1/8H123411 -1/8H123321 -1/8H123231
    -1/8H123213 -1/8H123141 -1/8H123123 -1/8H122511 -1/2H122421 -1/8H122331 -1/8H122313
    -1/2H122241 -1/2H122223 -1/8H122151 -1/8H122133 -1/8H122115 -1/8H121611 -1/8H121521
    -1/8H121431 -1/8H121413 -1/8H121341 -1/8H121323 -1/8H121251 -1/8H121233 -1/8H121215
    -1/8H121161 -1/8H121143 -1/8H121125 -1/16H117111 -1/8H116211 -1/8H116121 -1/16H115311
    -1/8H115221 -1/16H115131 -1/16H115113 -1/8H114411 -1/8H114321 -1/8H114231 -1/8H114213
    -1/8H114141 -1/8H114123 -1/16H113511 -1/8H113421 -1/16H113331 -1/16H113313 -1/8H113241
    -1/8H113223 -1/16H113151 -1/16H113133 -1/16H113115 -1/8H112611 -1/8H112521 -1/8H112431
    -1/8H112413 -1/8H112341 -1/8H112323 -1/8H112251 -1/8H112233 -1/8H112215 -1/8H112161
    -1/8H112143 -1/8H112125 -1/16H111711 -1/8H111621 -1/16H111531 -1/16H111513 -1/8H111441
    -1/8H111423 -1/16H111351 -1/16H111333 -1/16H111315 -1/8H111261 -1/8H111243 -1/8H111225
    -1/16H111171 -1/16H111153 -1/16H111135 -1/16H111117 + 1/16H5211111 + 1/16H5121111
    + 1/16H5112111 + 1/16H5111211 + 1/16H5111121 + 1/16H3411111 + 1/16H3321111
    + 1/16H3312111 + 1/16H3311211 + 1/16H3311121 + 1/16H3231111 + 1/8H3222111
    + 1/8H3221211 + 1/8H3221121 + 1/16H3213111 + 1/8H3212211 + 1/8H3212121 + 1/16H3211311
    + 1/8H3211221 + 1/16H3211131 + 1/16H3211113 + 1/16H3141111 + 1/16H3132111
    + 1/16H3131211 + 1/16H3131121 + 1/16H3123111 + 1/8H3122211 + 1/8H3122121 + 1/16H3121311
    + 1/8H3121221 + 1/16H3121131 + 1/16H3121113 + 1/16H3114111 + 1/16H3113211
    + 1/16H3113121 + 1/16H3112311 + 1/8H3112221 + 1/16H3112131 + 1/16H3112113
    + 1/16H3111411 + 1/16H3111321 + 1/16H3111231 + 1/16H3111213 + 1/16H3111141
    + 1/16H3111123 + 1/16H1611111 + 1/16H1521111 + 1/16H1512111 + 1/16H1511211
    + 1/16H1511121 + 1/16H1431111 + 1/8H1422111 + 1/8H1421211 + 1/8H1421121 + 1/16H1413111
    + 1/8H1412211 + 1/8H1412121 + 1/16H1411311 + 1/8H1411221 + 1/16H1411131 + 1/16H1411113
    + 1/16H1341111 + 1/16H1332111 + 1/16H1331211 + 1/16H1331121 + 1/16H1323111
    + 1/8H1322211 + 1/8H1322121 + 1/16H1321311 + 1/8H1321221 + 1/16H1321131 + 1/16H1321113
    + 1/16H1314111 + 1/16H1313211 + 1/16H1313121 + 1/16H1312311 + 1/8H1312221
    + 1/16H1312131 + 1/16H1312113 + 1/16H1311411 + 1/16H1311321 + 1/16H1311231
    + 1/16H1311213 + 1/16H1311141 + 1/16H1311123 + 1/16H1251111 + 1/8H1242111
    + 1/8H1241211 + 1/8H1241121 + 1/16H1233111 + 1/8H1232211 + 1/8H1232121 + 1/16H1231311
    + 1/8H1231221 + 1/16H1231131 + 1/16H1231113 + 1/8H1224111 + 1/8H1223211 + 1/8H1223121
    + 1/8H1222311 + 1/2H1222221 + 1/8H1222131 + 1/8H1222113 + 1/8H1221411 + 1/8H1221321
    + 1/8H1221231 + 1/8H1221213 + 1/8H1221141 + 1/8H1221123 + 1/16H1215111 + 1/8H1214211
    + 1/8H1214121 + 1/16H1213311 + 1/8H1213221 + 1/16H1213131 + 1/16H1213113 + 1/8H1212411
    + 1/8H1212321 + 1/8H1212231 + 1/8H1212213 + 1/8H1212141 + 1/8H1212123 + 1/16H1211511
    + 1/8H1211421 + 1/16H1211331 + 1/16H1211313 + 1/8H1211241 + 1/8H1211223 + 1/16H1211151
    + 1/16H1211133 + 1/16H1211115 + 1/16H1161111 + 1/16H1152111 + 1/16H1151211
    + 1/16H1151121 + 1/16H1143111 + 1/8H1142211 + 1/8H1142121 + 1/16H1141311 + 1/8H1141221
    + 1/16H1141131 + 1/16H1141113 + 1/16H1134111 + 1/16H1133211 + 1/16H1133121
    + 1/16H1132311 + 1/8H1132221 + 1/16H1132131 + 1/16H1132113 + 1/16H1131411
    + 1/16H1131321 + 1/16H1131231 + 1/16H1131213 + 1/16H1131141 + 1/16H1131123
    + 1/16H1125111 + 1/8H1124211 + 1/8H1124121 + 1/16H1123311 + 1/8H1123221 + 1/16H1123131
    + 1/16H1123113 + 1/8H1122411 + 1/8H1122321 + 1/8H1122231 + 1/8H1122213 + 1/8H1122141
    + 1/8H1122123 + 1/16H1121511 + 1/8H1121421 + 1/16H1121331 + 1/16H1121313 + 1/8H1121241
    + 1/8H1121223 + 1/16H1121151 + 1/16H1121133 + 1/16H1121115 + 1/16H1116111
    + 1/16H1115211 + 1/16H1115121 + 1/16H1114311 + 1/8H1114221 + 1/16H1114131
    + 1/16H1114113 + 1/16H1113411 + 1/16H1113321 + 1/16H1113231 + 1/16H1113213
    + 1/16H1113141 + 1/16H1113123 + 1/16H1112511 + 1/8H1112421 + 1/16H1112331
    + 1/16H1112313 + 1/8H1112241 + 1/8H1112223 + 1/16H1112151 + 1/16H1112133 + 1/16H1112115
    + 1/16H1111611 + 1/16H1111521 + 1/16H1111431 + 1/16H1111413 + 1/16H1111341
    + 1/16H1111323 + 1/16H1111251 + 1/16H1111233 + 1/16H1111215 + 1/16H1111161
    + 1/16H1111143 + 1/16H1111125 -5/128H51111111 -5/128H33111111 -1/16H32211111 -1/16H32121111
    -1/16H32112111 -1/16H32111211 -1/16H32111121 -5/128H31311111 -1/16H31221111 -1/16H31212111
    -1/16H31211211 -1/16H31211121 -5/128H31131111 -1/16H31122111 -1/16H31121211 -1/16H31121121
    -5/128H31113111 -1/16H31112211 -1/16H31112121 -5/128H31111311 -1/16H31111221 -5/128H31111131
    -5/128H31111113 -5/128H15111111 -1/16H14211111 -1/16H14121111 -1/16H14112111 -1/16H14111211
    -1/16H14111121 -5/128H13311111 -1/16H13221111 -1/16H13212111 -1/16H13211211 -1/16H13211121
    -5/128H13131111 -1/16H13122111 -1/16H13121211 -1/16H13121121 -5/128H13113111 -1/16H13112211
    -1/16H13112121 -5/128H13111311 -1/16H13111221 -5/128H13111131 -5/128H13111113 -1/16H12411111
    -1/16H12321111 -1/16H12312111 -1/16H12311211 -1/16H12311121 -1/16H12231111 -1/8H12222111
    -1/8H12221211 -1/8H12221121 -1/16H12213111 -1/8H12212211 -1/8H12212121 -1/16H12211311
    -1/8H12211221 -1/16H12211131 -1/16H12211113 -1/16H12141111 -1/16H12132111 -1/16H12131211
    -1/16H12131121 -1/16H12123111 -1/8H12122211 -1/8H12122121 -1/16H12121311 -1/8H12121221
    -1/16H12121131 -1/16H12121113 -1/16H12114111 -1/16H12113211 -1/16H12113121 -1/16H12112311
    -1/8H12112221 -1/16H12112131 -1/16H12112113 -1/16H12111411 -1/16H12111321 -1/16H12111231
    -1/16H12111213 -1/16H12111141 -1/16H12111123 -5/128H11511111 -1/16H11421111 -1/16H11412111
    -1/16H11411211 -1/16H11411121 -5/128H11331111 -1/16H11322111 -1/16H11321211 -1/16H11321121
    -5/128H11313111 -1/16H11312211 -1/16H11312121 -5/128H11311311 -1/16H11311221 -5/128H11311131
    -5/128H11311113 -1/16H11241111 -1/16H11232111 -1/16H11231211 -1/16H11231121 -1/16H11223111
    -1/8H11222211 -1/8H11222121 -1/16H11221311 -1/8H11221221 -1/16H11221131 -1/16H11221113
    -1/16H11214111 -1/16H11213211 -1/16H11213121 -1/16H11212311 -1/8H11212221 -1/16H11212131
    -1/16H11212113 -1/16H11211411 -1/16H11211321 -1/16H11211231 -1/16H11211213 -1/16H11211141
    -1/16H11211123 -5/128H11151111 -1/16H11142111 -1/16H11141211 -1/16H11141121 -5/128H11133111
    -1/16H11132211 -1/16H11132121 -5/128H11131311 -1/16H11131221 -5/128H11131131 -5/128H11131113
    -1/16H11124111 -1/16H11123211 -1/16H11123121 -1/16H11122311 -1/8H11122221 -1/16H11122131
    -1/16H11122113 -1/16H11121411 -1/16H11121321 -1/16H11121231 -1/16H11121213 -1/16H11121141
    -1/16H11121123 -5/128H11115111 -1/16H11114211 -1/16H11114121 -5/128H11113311 -1/16H11113221
    -5/128H11113131 -5/128H11113113 -1/16H11112411 -1/16H11112321 -1/16H11112231 -1/16H11112213
    -1/16H11112141 -1/16H11112123 -5/128H11111511 -1/16H11111421 -5/128H11111331 -5/128H11111313
    -1/16H11111241 -1/16H11111223 -5/128H11111151 -5/128H11111133 -5/128H11111115 + 5/128H321111111
    + 5/128H312111111 + 5/128H311211111 + 5/128H311121111 + 5/128H311112111 + 5/128H311111211
    + 5/128H311111121 + 5/128H141111111 + 5/128H132111111 + 5/128H131211111 + 5/128H131121111
    + 5/128H131112111 + 5/128H131111211 + 5/128H131111121 + 5/128H123111111 + 1/16H122211111
    + 1/16H122121111 + 1/16H122112111 + 1/16H122111211 + 1/16H122111121 + 5/128H121311111
    + 1/16H121221111 + 1/16H121212111 + 1/16H121211211 + 1/16H121211121 + 5/128H121131111
    + 1/16H121122111 + 1/16H121121211 + 1/16H121121121 + 5/128H121113111 + 1/16H121112211
    + 1/16H121112121 + 5/128H121111311 + 1/16H121111221 + 5/128H121111131 + 5/128H121111113
    + 5/128H114111111 + 5/128H113211111 + 5/128H113121111 + 5/128H113112111 + 5/128H113111211
    + 5/128H113111121 + 5/128H112311111 + 1/16H112221111 + 1/16H112212111 + 1/16H112211211
    + 1/16H112211121 + 5/128H112131111 + 1/16H112122111 + 1/16H112121211 + 1/16H112121121
    + 5/128H112113111 + 1/16H112112211 + 1/16H112112121 + 5/128H112111311 + 1/16H112111221
    + 5/128H112111131 + 5/128H112111113 + 5/128H111411111 + 5/128H111321111 + 5/128H111312111
    + 5/128H111311211 + 5/128H111311121 + 5/128H111231111 + 1/16H111222111 + 1/16H111221211
    + 1/16H111221121 + 5/128H111213111 + 1/16H111212211 + 1/16H111212121 + 5/128H111211311
    + 1/16H111211221 + 5/128H111211131 + 5/128H111211113 + 5/128H111141111 + 5/128H111132111
    + 5/128H111131211 + 5/128H111131121 + 5/128H111123111 + 1/16H111122211 + 1/16H111122121
    + 5/128H111121311 + 1/16H111121221 + 5/128H111121131 + 5/128H111121113 + 5/128H111114111
    + 5/128H111113211 + 5/128H111113121 + 5/128H111112311 + 1/16H111112221 + 5/128H111112131
    + 5/128H111112113 + 5/128H111111411 + 5/128H111111321 + 5/128H111111231 + 5/128H111111213
    + 5/128H111111141 + 5/128H111111123 -7/256H3111111111 -7/256H1311111111 -5/128H1221111111
    -5/128H1212111111 -5/128H1211211111 -5/128H1211121111 -5/128H1211112111 -5/128H1211111211
    -5/128H1211111121 -7/256H1131111111 -5/128H1122111111 -5/128H1121211111 -5/128H1121121111
    -5/128H1121112111 -5/128H1121111211 -5/128H1121111121 -7/256H1113111111 -5/128H1112211111
    -5/128H1112121111 -5/128H1112112111 -5/128H1112111211 -5/128H1112111121 -7/256H1111311111
    -5/128H1111221111 -5/128H1111212111 -5/128H1111211211 -5/128H1111211121 -7/256H1111131111
    -5/128H1111122111 -5/128H1111121211 -5/128H1111121121 -7/256H1111113111 -5/128H1111112211
    -5/128H1111112121 -7/256H1111111311 -5/128H1111111221 -7/256H1111111131 -7/256H1111111113
    + 7/256H12111111111 + 7/256H11211111111 + 7/256H11121111111 + 7/256H11112111111
    + 7/256H11111211111 + 7/256H11111121111 + 7/256H11111112111 + 7/256H11111111211
    + 7/256H11111111121 -21/1024H111111111111.
Return to Main table.
Created 23 July 2003 by Frank Sottile