History of Ehrhart $h^*$-polynomials of the permutohedra

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when	who	what
2026-09-15 21:57	bmatschke interactive	the n column showed the polynomial's name rather than n: a param-latex on every entry replaced the label of its own parameter group, so the column read $L_{\Pi_3}(t)$ where it should read 3. The header already says which polynomial.	current reviewed
2026-09-15 09:06	zeta3 interactive	shorten h-star definition
2026-09-15 09:03	zeta3 interactive	attach standard generator name
2026-09-15 09:03	zeta3 with codex-cli generator	split T235 to h-star polynomials
2026-09-15 09:01	zeta3 interactive	claim permutohedron h-star split

What changed between 2026-09-15 09:06 and 2026-09-15 21:57

from line 97 (27 lines, 9 fewer than before) @@ -97,36 +97,27 @@

   '3':     number: z^2 + 4*z + 1-    param-latex: $h^*_{\Pi_3}(z)$   '4':     number: 6*z^3 + 55*z^2 + 34*z + 1-    param-latex: $h^*_{\Pi_4}(z)$   '5':     number: 51*z^4 + 1026*z^3 + 1636*z^2 + 286*z + 1-    param-latex: $h^*_{\Pi_5}(z)$   '6':     number: 560*z^5 + 23921*z^4 + 83006*z^3 + 45106*z^2 + 2926*z + 1-    param-latex: $h^*_{\Pi_6}(z)$   '7':     number: 7575*z^6 + 668998*z^5 + 4498719*z^4 + 5548544*z^3 + 1340249*z^2 + 36954*z       + 1-    param-latex: $h^*_{\Pi_7}(z)$   '8':     number: 122052*z^7 + 21906879*z^6 + 264518108*z^5 + 627262259*z^4 + 362149964*z^3       + 44684557*z^2 + 561940*z + 1-    param-latex: $h^*_{\Pi_8}(z)$   '9':     number: 2285353*z^8 + 825216976*z^7 + 16989077620*z^6 + 70073863360*z^5 + 78693513406*z^4       + 24572159728*z^3 + 1683167140*z^2 + 10026496*z + 1-    param-latex: $h^*_{\Pi_9}(z)$   '10':     number: 48803904*z^9 + 35253011809*z^8 + 1193466428494*z^7 + 8014563347824*z^6       + 15555261799474*z^5 + 9640088562046*z^4 + 1777757854066*z^3 + 71354583856*z^2       + 205608526*z + 1-    param-latex: $h^*_{\Pi_10}(z)$   '11':     number: 1171278945*z^10 + 1687574155356*z^9 + 91556249332813*z^8 + 955734714031120*z^7       + 2970904539689362*z^6 + 3195311257292584*z^5 + 1199423040660274*z^4 + 138517441805392*z^3       + 3379825414285*z^2 + 4767440668*z + 1-    param-latex: $h^*_{\Pi_11}(z)$   '12':     number: 31220505800*z^11 + 89603092983119*z^10 + 7646863577076692*z^9 + 119960832373015701*z^8

from line 125 (4 lines, 1 fewer than before) @@ -134,5 +125,4 @@

       154665063744248058*z^4 + 11657923950148224*z^3 + 177442346676475*z^2 + 123373203196*z       + 1-    param-latex: $h^*_{\Pi_12}(z)$   '13':     number: 915350812299*z^12 + 5230578875812018*z^11 + 692772934578766848*z^10 +

from line 130 (4 lines, 1 fewer than before) @@ -140,5 +130,4 @@

       + 298120473614814086328*z^6 + 128140092402152054316*z^5 + 20890139562469184385*z^4       + 1059367806720441882*z^3 + 10245220568790728*z^2 + 3525630110094*z + 1-    param-latex: $h^*_{\Pi_13}(z)$   '14':     number: 29281681800384*z^13 + 333145759391195505*z^12 + 67812001643922568514*z^11

from line 136 (4 lines, 1 fewer than before) @@ -147,5 +136,4 @@

       + 2971432944241714485807*z^4 + 103728217896858907626*z^3 + 645892925853771142*z^2       + 110284283006626*z + 1-    param-latex: $h^*_{\Pi_14}(z)$   '15':     number: 1015074250155511*z^14 + 22998789873734328046*z^13 + 7143773983610324327011*z^12

from line 142 (4 lines, 1 fewer than before) @@ -154,5 +142,4 @@

       + 5505241366000186891083098*z^5 + 446205213453446128176161*z^4 + 10913283133766989379096*z^3       + 44173541010565927861*z^2 + 3748357699560946*z + 1-    param-latex: $h^*_{\Pi_15}(z)$   '16':     number: 37909738774479600*z^15 + 1711036984166426174911*z^14 + 806875104551695275551872*z^13

from line 149 (4 lines, 1 fewer than before) @@ -162,5 +149,4 @@

       + 1229900748976693296702032*z^3 + 3258548904291176162329*z^2 + 137557910094840832*z       + 1-    param-latex: $h^*_{\Pi_16}(z)$   '17':     number: 1517587042234033425*z^16 + 136491787558987553907552*z^15 + 97358924268486881675448616*z^14

from line 157 (4 lines, 1 fewer than before) @@ -171,5 +157,4 @@

       + 271583850843184750049866343360*z^5 + 11861573605544953208807285516*z^4 + 147998471150969479816621856*z^3       + 257946941475768579959368*z^2 + 5421179050350334912*z + 1-    param-latex: $h^*_{\Pi_17}(z)$   '18':     number: 64830903253553212928*z^17 + 11622996405037657616240321*z^16 + 12507283407406496493999865742*z^15

from line 166 (4 lines, 1 fewer than before) @@ -181,5 +166,4 @@

       + 2097321364307297350781517773380*z^4 + 18956497326052230558243765562*z^3 +       21813131993648535927648316*z^2 + 228359487335194570510*z + 1-    param-latex: $h^*_{\Pi_18}(z)$   '19':     number: 2944016994706445303937*z^18 + 1052417093898657521289778804*z^17 + 1705266877461409890033363403353*z^16

from line 176 (4 lines, 1 fewer than before) @@ -192,5 +176,4 @@

       + 2576726603424233035064724104032*z^3 + 1962661102879835121270279065*z^2 + 10239206473040881277556*z       + 1-    param-latex: $h^*_{\Pi_19}(z)$   '20':     number: 141619391130850396785504*z^19 + 100971263547197346233318012559*z^18 +

from line 187 (2 lines, 1 fewer than before) @@ -204,3 +187,2 @@

       + 370640554181902844532737339241016*z^3 + 187223668801661815776195594151*z^2       + 486909744862576654283596*z + 1-    param-latex: $h^*_{\Pi_20}(z)$