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

 - combinatorics - discrete geometry-Numbers: []+Numbers:+- params:+    n: '4'+    k: '2'+  number: z^2 + 2*z + 1+  param-latex: $h^*_{\Delta(2,4)}(z)$+- params:+    n: '5'+    k: '2'+  number: 5*z^2 + 5*z + 1+  param-latex: $h^*_{\Delta(2,5)}(z)$+- params:+    n: '6'+    k: '2'+  number: z^3 + 15*z^2 + 9*z + 1+  param-latex: $h^*_{\Delta(2,6)}(z)$+- params:+    n: '6'+    k: '3'+  number: z^4 + 14*z^3 + 36*z^2 + 14*z + 1+  param-latex: $h^*_{\Delta(3,6)}(z)$+- params:+    n: '7'+    k: '2'+  number: 7*z^3 + 35*z^2 + 14*z + 1+  param-latex: $h^*_{\Delta(2,7)}(z)$+- params:+    n: '7'+    k: '3'+  number: 21*z^4 + 119*z^3 + 133*z^2 + 28*z + 1+  param-latex: $h^*_{\Delta(3,7)}(z)$+- params:+    n: '8'+    k: '2'+  number: z^4 + 28*z^3 + 70*z^2 + 20*z + 1+  param-latex: $h^*_{\Delta(2,8)}(z)$+- params:+    n: '8'+    k: '3'+  number: 8*z^5 + 202*z^4 + 568*z^3 + 364*z^2 + 48*z + 1+  param-latex: $h^*_{\Delta(3,8)}(z)$+- params:+    n: '8'+    k: '4'+  number: z^6 + 62*z^5 + 575*z^4 + 1140*z^3 + 575*z^2 + 62*z + 1+  param-latex: $h^*_{\Delta(4,8)}(z)$+- params:+    n: '9'+    k: '2'+  number: 9*z^4 + 84*z^3 + 126*z^2 + 27*z + 1+  param-latex: $h^*_{\Delta(2,9)}(z)$+- params:+    n: '9'+    k: '3'+  number: z^6 + 147*z^5 + 1230*z^4 + 2005*z^3 + 834*z^2 + 75*z + 1+  param-latex: $h^*_{\Delta(3,9)}(z)$+- params:+    n: '9'+    k: '4'+  number: 84*z^6 + 1548*z^5 + 5895*z^4 + 6165*z^3 + 1809*z^2 + 117*z + 1+  param-latex: $h^*_{\Delta(4,9)}(z)$+- params:+    n: '10'+    k: '2'+  number: z^5 + 45*z^4 + 210*z^3 + 210*z^2 + 35*z + 1+  param-latex: $h^*_{\Delta(2,10)}(z)$+- params:+    n: '10'+    k: '3'+  number: 55*z^6 + 1352*z^5 + 5565*z^4 + 5830*z^3 + 1695*z^2 + 110*z + 1+  param-latex: $h^*_{\Delta(3,10)}(z)$+- params:+    n: '10'+    k: '4'+  number: 45*z^7 + 2400*z^6 + 18328*z^5 + 37985*z^4 + 24565*z^3 + 4710*z^2 + 200*z+    + 1+  param-latex: $h^*_{\Delta(4,10)}(z)$+- params:+    n: '10'+    k: '5'+  number: z^8 + 242*z^7 + 6478*z^6 + 37994*z^5 + 66760*z^4 + 37994*z^3 + 6478*z^2+    + 242*z + 1+  param-latex: $h^*_{\Delta(5,10)}(z)$+- params:+    n: '11'+    k: '2'+  number: 11*z^5 + 165*z^4 + 462*z^3 + 330*z^2 + 44*z + 1+  param-latex: $h^*_{\Delta(2,11)}(z)$+- params:+    n: '11'+    k: '3'+  number: 11*z^7 + 869*z^6 + 8437*z^5 + 20438*z^4 + 14773*z^3 + 3157*z^2 + 154*z ++    1+  param-latex: $h^*_{\Delta(3,11)}(z)$+- params:+    n: '11'+    k: '4'+  number: 11*z^8 + 2156*z^7 + 35508*z^6 + 142428*z^5 + 183711*z^4 + 80278*z^3 + 10780*z^2+    + 319*z + 1+  param-latex: $h^*_{\Delta(4,11)}(z)$+- params:+    n: '11'+    k: '5'+  number: 330*z^8 + 16225*z^7 + 158235*z^6 + 466004*z^5 + 478236*z^4 + 171831*z^3+    + 19041*z^2 + 451*z + 1+  param-latex: $h^*_{\Delta(5,11)}(z)$+- params:+    n: '12'+    k: '2'+  number: z^6 + 66*z^5 + 495*z^4 + 924*z^3 + 495*z^2 + 54*z + 1+  param-latex: $h^*_{\Delta(2,12)}(z)$+- params:+    n: '12'+    k: '3'+  number: z^8 + 352*z^7 + 7930*z^6 + 40612*z^5 + 64285*z^4 + 33748*z^3 + 5500*z^2+    + 208*z + 1+  param-latex: $h^*_{\Delta(3,12)}(z)$+- params:+    n: '12'+    k: '4'+  number: z^9 + 1209*z^8 + 44682*z^7 + 344488*z^6 + 834900*z^5 + 727638*z^4 + 227646*z^3+    + 22440*z^2 + 483*z + 1+  param-latex: $h^*_{\Delta(4,12)}(z)$+- params:+    n: '12'+    k: '5'+  number: 220*z^9 + 25674*z^8 + 441024*z^7 + 2176954*z^6 + 3836196*z^5 + 2574429*z^4+    + 633996*z^3 + 48840*z^2 + 780*z + 1+  param-latex: $h^*_{\Delta(5,12)}(z)$+- params:+    n: '12'+    k: '6'+  number: z^10 + 912*z^9 + 62767*z^8 + 878932*z^7 + 3834832*z^6 + 6169360*z^5 + 3834832*z^4+    + 878932*z^3 + 62767*z^2 + 912*z + 1+  param-latex: $h^*_{\Delta(6,12)}(z)$+- params:+    n: '13'+    k: '2'+  number: 13*z^6 + 286*z^5 + 1287*z^4 + 1716*z^3 + 715*z^2 + 65*z + 1+  param-latex: $h^*_{\Delta(2,13)}(z)$+- params:+    n: '13'+    k: '3'+  number: 91*z^8 + 4992*z^7 + 51610*z^6 + 161811*z^5 + 179335*z^4 + 71071*z^3 + 9087*z^2+    + 273*z + 1+  param-latex: $h^*_{\Delta(3,13)}(z)$+- params:+    n: '13'+    k: '4'+  number: 442*z^9 + 38727*z^8 + 568087*z^7 + 2487862*z^6 + 3985813*z^5 + 2483052*z^4+    + 579592*z^3 + 43407*z^2 + 702*z + 1+  param-latex: $h^*_{\Delta(4,13)}(z)$+- params:+    n: '13'+    k: '5'+  number: 78*z^10 + 26728*z^9 + 853658*z^8 + 7080853*z^7 + 20751926*z^6 + 24129937*z^5+    + 11341720*z^4 + 2019108*z^3 + 113191*z^2 + 1274*z + 1+  param-latex: $h^*_{\Delta(5,13)}(z)$+- params:+    n: '13'+    k: '6'+  number: 1287*z^10 + 154375*z^9 + 3334110*z^8 + 21984040*z^7 + 54615067*z^6 + 55490487*z^5+    + 23102326*z^4 + 3649477*z^3 + 179413*z^2 + 1703*z + 1+  param-latex: $h^*_{\Delta(6,13)}(z)$+- params:+    n: '14'+    k: '2'+  number: z^7 + 91*z^6 + 1001*z^5 + 3003*z^4 + 3003*z^3 + 1001*z^2 + 77*z + 1+  param-latex: $h^*_{\Delta(2,14)}(z)$+- params:+    n: '14'+    k: '3'+  number: 14*z^9 + 2184*z^8 + 45278*z^7 + 265174*z^6 + 557662*z^5 + 454545*z^4 + 140140*z^3+    + 14378*z^2 + 350*z + 1+  param-latex: $h^*_{\Delta(3,14)}(z)$+- params:+    n: '14'+    k: '4'+  number: 105*z^10 + 24192*z^9 + 674492*z^8 + 5177147*z^7 + 14424501*z^6 + 16255043*z^5+    + 7542731*z^4 + 1355081*z^3 + 79170*z^2 + 987*z + 1+  param-latex: $h^*_{\Delta(4,14)}(z)$+- params:+    n: '14'+    k: '5'+  number: 14*z^11 + 19187*z^10 + 1191736*z^9 + 16675036*z^8 + 79494076*z^7 + 152350576*z^6+    + 124579364*z^5 + 42982562*z^4 + 5744662*z^3 + 242333*z^2 + 1988*z + 1+  param-latex: $h^*_{\Delta(5,14)}(z)$+- params:+    n: '14'+    k: '6'+  number: 1001*z^11 + 256256*z^10 + 9019297*z^9 + 91077427*z^8 + 344909878*z^7 + 550074602*z^6+    + 383162430*z^5 + 113644440*z^4 + 13012545*z^3 + 460642*z^2 + 2989*z + 1+  param-latex: $h^*_{\Delta(6,14)}(z)$+- params:+    n: '14'+    k: '7'+  number: z^12 + 3418*z^11 + 568270*z^10 + 16972890*z^9 + 155600485*z^8 + 549831736*z^7+    + 829218404*z^6 + 549831736*z^5 + 155600485*z^4 + 16972890*z^3 + 568270*z^2 ++    3418*z + 1+  param-latex: $h^*_{\Delta(7,14)}(z)$+- params:+    n: '15'+    k: '2'+  number: 15*z^7 + 455*z^6 + 3003*z^5 + 6435*z^4 + 5005*z^3 + 1365*z^2 + 90*z + 1+  param-latex: $h^*_{\Delta(2,15)}(z)$+- params:+    n: '15'+    k: '3'+  number: z^10 + 665*z^9 + 28650*z^8 + 305160*z^7 + 1141140*z^6 + 1712532*z^5 + 1065090*z^4+    + 261690*z^3 + 21945*z^2 + 440*z + 1+  param-latex: $h^*_{\Delta(3,15)}(z)$+- params:+    n: '15'+    k: '4'+  number: 15*z^11 + 11178*z^10 + 601820*z^9 + 7936815*z^8 + 36917520*z^7 + 70508540*z^6+    + 58480587*z^5 + 20859765*z^4 + 2955615*z^3 + 137580*z^2 + 1350*z + 1+  param-latex: $h^*_{\Delta(4,15)}(z)$+- params:+    n: '15'+    k: '5'+  number: z^12 + 9813*z^11 + 1245141*z^10 + 29505050*z^9 + 225079320*z^8 + 686074008*z^7+    + 917619424*z^6 + 552064083*z^5 + 144716100*z^4 + 14939655*z^3 + 486591*z^2 ++    2988*z + 1+  param-latex: $h^*_{\Delta(5,15)}(z)$+- params:+    n: '15'+    k: '6'+  number: 455*z^12 + 299910*z^11 + 18044510*z^10 + 282064700*z^9 + 1611895470*z^8+    + 3916933725*z^7 + 4316832045*z^6 + 2175342072*z^5 + 479511015*z^4 + 41247325*z^3+    + 1086645*z^2 + 4990*z + 1+  param-latex: $h^*_{\Delta(6,15)}(z)$+- params:+    n: '15'+    k: '7'+  number: 5005*z^12 + 1401960*z^11 + 61742562*z^10 + 806191155*z^9 + 4058378310*z^8+    + 8918175720*z^7 + 9011739220*z^6 + 4191072999*z^5 + 853398330*z^4 + 67456320*z^3+    + 1608090*z^2 + 6420*z + 1+  param-latex: $h^*_{\Delta(7,15)}(z)$+- params:+    n: '16'+    k: '2'+  number: z^8 + 120*z^7 + 1820*z^6 + 8008*z^5 + 12870*z^4 + 8008*z^3 + 1820*z^2 ++    104*z + 1+  param-latex: $h^*_{\Delta(2,16)}(z)$+- params:+    n: '16'+    k: '3'+  number: 136*z^10 + 13328*z^9 + 258314*z^8 + 1656496*z^7 + 4273272*z^6 + 4786112*z^5+    + 2337296*z^4 + 466752*z^3 + 32488*z^2 + 544*z + 1+  param-latex: $h^*_{\Delta(3,16)}(z)$+- params:+    n: '16'+    k: '4'+  number: z^12 + 3844*z^11 + 415618*z^10 + 9342268*z^9 + 70495535*z^8 + 217730376*z^7+    + 300515548*z^6 + 189891192*z^5 + 53381039*z^4 + 6084116*z^3 + 229570*z^2 + 1804*z+    + 1+  param-latex: $h^*_{\Delta(4,16)}(z)$+- params:+    n: '16'+    k: '5'+  number: 3620*z^12 + 1003440*z^11 + 40556456*z^10 + 489024224*z^9 + 2308167620*z^8+    + 4832050656*z^7 + 4726533952*z^6 + 2164248528*z^5 + 442618800*z^4 + 36091424*z^3+    + 926448*z^2 + 4352*z + 1+  param-latex: $h^*_{\Delta(5,16)}(z)$+- params:+    n: '16'+    k: '6'+  number: 120*z^13 + 256650*z^12 + 27571400*z^11 + 673488900*z^10 + 5762482896*z^9+    + 20861071757*z^8 + 34944643608*z^7 + 27990945724*z^6 + 10603216848*z^5 + 1791956640*z^4+    + 118964064*z^3 + 2392328*z^2 + 7992*z + 1+  param-latex: $h^*_{\Delta(6,16)}(z)$+- params:+    n: '16'+    k: '7'+  number: 4368*z^13 + 2450448*z^12 + 167405664*z^11 + 3167382488*z^10 + 22698040432*z^9+    + 71539991310*z^8 + 106556585360*z^7 + 76751967352*z^6 + 26260826176*z^5 + 4001548076*z^4+    + 237225072*z^3 + 4160240*z^2 + 11424*z + 1+  param-latex: $h^*_{\Delta(7,16)}(z)$+- params:+    n: '16'+    k: '8'+  number: z^14 + 12854*z^13 + 4990827*z^12 + 297458828*z^11 + 5202902329*z^10 + 35289282282*z^9+    + 106517454171*z^8 + 152914614888*z^7 + 106517454171*z^6 + 35289282282*z^5 + 5202902329*z^4+    + 297458828*z^3 + 4990827*z^2 + 12854*z + 1+  param-latex: $h^*_{\Delta(8,16)}(z)$+- params:+    n: '17'+    k: '2'+  number: 17*z^8 + 680*z^7 + 6188*z^6 + 19448*z^5 + 24310*z^4 + 12376*z^3 + 2380*z^2+    + 119*z + 1+  param-latex: $h^*_{\Delta(2,17)}(z)$+- params:+    n: '17'+    k: '3'+  number: 17*z^11 + 4556*z^10 + 165087*z^9 + 1789114*z^8 + 7611172*z^7 + 14298547*z^6+    + 12364882*z^5 + 4851392*z^4 + 800462*z^3 + 46852*z^2 + 663*z + 1+  param-latex: $h^*_{\Delta(3,17)}(z)$+- params:+    n: '17'+    k: '4'+  number: 969*z^12 + 226083*z^11 + 8700294*z^10 + 104604842*z^9 + 505219991*z^8 ++    1102887104*z^7 + 1144219017*z^6 + 565976240*z^5 + 127954223*z^4 + 11924106*z^3+    + 370022*z^2 + 2363*z + 1+  param-latex: $h^*_{\Delta(4,17)}(z)$+- params:+    n: '17'+    k: '5'+  number: 952*z^13 + 637058*z^12 + 44517050*z^11 + 841756071*z^10 + 6027751421*z^9+    + 19111651396*z^8 + 28920688609*z^7 + 21433283664*z^6 + 7669449445*z^5 + 1249845287*z^4+    + 81965058*z^3 + 1686366*z^2 + 6171*z + 1+  param-latex: $h^*_{\Delta(5,17)}(z)$+- params:+    n: '17'+    k: '6'+  number: 17*z^14 + 164815*z^13 + 33084788*z^12 + 1274618911*z^11 + 16231198545*z^10+    + 86017327600*z^9 + 212508483425*z^8 + 258066480485*z^7 + 155899626505*z^6 + 45697307028*z^5+    + 6064854533*z^4 + 317387535*z^3 + 4971752*z^2 + 12359*z + 1+  param-latex: $h^*_{\Delta(6,17)}(z)$+- params:+    n: '17'+    k: '7'+  number: 2380*z^14 + 3157852*z^13 + 349751591*z^12 + 9722297365*z^11 + 99053770273*z^10+    + 441975864607*z^9 + 945669868474*z^8 + 1010629719085*z^7 + 541647432237*z^6 ++    141103063485*z^5 + 16562470320*z^4 + 755762200*z^3 + 9998856*z^2 + 19431*z + 1+  param-latex: $h^*_{\Delta(7,17)}(z)$+- params:+    n: '17'+    k: '8'+  number: 19448*z^14 + 12447536*z^13 + 1063060592*z^12 + 25511378848*z^11 + 234802079884*z^10+    + 968180708188*z^9 + 1938631187883*z^8 + 1952649084909*z^7 + 989768069669*z^6+    + 243983890741*z^5 + 27027356245*z^4 + 1155521433*z^3 + 14095805*z^2 + 24293*z+    + 1+  param-latex: $h^*_{\Delta(8,17)}(z)$+- params:+    n: '18'+    k: '2'+  number: z^9 + 153*z^8 + 3060*z^7 + 18564*z^6 + 43758*z^5 + 43758*z^4 + 18564*z^3+    + 3060*z^2 + 135*z + 1+  param-latex: $h^*_{\Delta(2,18)}(z)$+- params:+    n: '18'+    k: '3'+  number: z^12 + 1122*z^11 + 80580*z^10 + 1480784*z^9 + 10157058*z^8 + 30604896*z^7+    + 43579977*z^6 + 29883960*z^5 + 9598914*z^4 + 1326884*z^3 + 66045*z^2 + 798*z+    + 1+  param-latex: $h^*_{\Delta(3,18)}(z)$+- params:+    n: '18'+    k: '4'+  number: 171*z^13 + 97545*z^12 + 6543504*z^11 + 124294599*z^10 + 917273982*z^9 ++    3053143611*z^8 + 4929475482*z^7 + 3963093702*z^6 + 1568492523*z^5 + 289999719*z^4+    + 22402770*z^3 + 578799*z^2 + 3042*z + 1+  param-latex: $h^*_{\Delta(4,18)}(z)$+- params:+    n: '18'+    k: '5'+  number: 171*z^14 + 322506*z^13 + 39857877*z^12 + 1178314830*z^11 + 12609530955*z^10+    + 59047404052*z^9 + 133217516313*z^8 + 151416272538*z^7 + 87401792079*z^6 + 24964466832*z^5+    + 3298273497*z^4 + 176587500*z^3 + 2953359*z^2 + 8550*z + 1+  param-latex: $h^*_{\Delta(5,18)}(z)$+- params:+    n: '18'+    k: '6'+  number: z^15 + 80562*z^14 + 31892187*z^13 + 1958604477*z^12 + 36965679885*z^11 ++    282834936723*z^10 + 1006775048306*z^9 + 1789315745103*z^8 + 1635346024965*z^7+    + 766515158372*z^6 + 177851049531*z^5 + 18894963615*z^4 + 792932361*z^3 + 9837747*z^2+    + 18546*z + 1+  param-latex: $h^*_{\Delta(6,18)}(z)$+- params:+    n: '18'+    k: '7'+  number: 816*z^15 + 3092742*z^14 + 578742714*z^13 + 23923991301*z^12 + 346131204768*z^11+    + 2163041362350*z^10 + 6514394978760*z^9 + 10000101157164*z^8 + 7986505934988*z^7+    + 3287595156969*z^6 + 669254167962*z^5 + 61882317576*z^4 + 2218218174*z^3 + 22590297*z^2+    + 31806*z + 1+  param-latex: $h^*_{\Delta(7,18)}(z)$+- params:+    n: '18'+    k: '8'+  number: 18564*z^15 + 22828824*z^14 + 2927157291*z^13 + 98141557566*z^12 + 1230863521572*z^11+    + 6892852400928*z^10 + 18951970865524*z^9 + 26850334989897*z^8 + 19910470050252*z^7+    + 7628187583152*z^6 + 1443856347423*z^5 + 123509398104*z^4 + 4049593596*z^3 ++    36828936*z^2 + 43740*z + 1+  param-latex: $h^*_{\Delta(8,18)}(z)$+- params:+    n: '18'+    k: '9'+  number: z^16 + 48602*z^15 + 43277802*z^14 + 4937642026*z^13 + 155012076974*z^12+    + 1858232498322*z^11 + 10049989911874*z^10 + 26842765525442*z^9 + 37068418696464*z^8+    + 26842765525442*z^7 + 10049989911874*z^6 + 1858232498322*z^5 + 155012076974*z^4+    + 4937642026*z^3 + 43277802*z^2 + 48602*z + 1+  param-latex: $h^*_{\Delta(9,18)}(z)$+- params:+    n: '19'+    k: '2'+  number: 19*z^9 + 969*z^8 + 11628*z^7 + 50388*z^6 + 92378*z^5 + 75582*z^4 + 27132*z^3+    + 3876*z^2 + 152*z + 1+  param-latex: $h^*_{\Delta(2,19)}(z)$+- params:+    n: '19'+    k: '3'+  number: 190*z^12 + 30039*z^11 + 955415*z^10 + 10480685*z^9 + 49293030*z^8 + 110282061*z^7+    + 122755200*z^6 + 68198866*z^5 + 18217200*z^4 + 2135030*z^3 + 91257*z^2 + 950*z+    + 1+  param-latex: $h^*_{\Delta(3,19)}(z)$+- params:+    n: '19'+    k: '4'+  number: 19*z^14 + 33269*z^13 + 4025834*z^12 + 120858525*z^11 + 1342914034*z^10 ++    6639152463*z^9 + 16048390983*z^8 + 19836286558*z^7 + 12661568004*z^6 + 4082529468*z^5+    + 626099647*z^4 + 40568477*z^3 + 881961*z^2 + 3857*z + 1+  param-latex: $h^*_{\Delta(4,19)}(z)$+- params:+    n: '19'+    k: '5'+  number: 19*z^15 + 130625*z^14 + 29557730*z^13 + 1369432315*z^12 + 21675013401*z^11+    + 147061657389*z^10 + 480913930576*z^9 + 805588732316*z^8 + 708537813815*z^7 ++    325700719261*z^6 + 75565120134*z^5 + 8211491763*z^4 + 363485143*z^3 + 5001503*z^2+    + 11609*z + 1+  param-latex: $h^*_{\Delta(5,19)}(z)$+- params:+    n: '19'+    k: '6'+  number: 30039*z^15 + 25120679*z^14 + 2493211654*z^13 + 69598483653*z^12 + 760551811357*z^11+    + 3829324392311*z^10 + 9693055120580*z^9 + 12889575031720*z^8 + 9126387532005*z^7+    + 3394567246969*z^6 + 635015797444*z^5 + 54859737951*z^4 + 1872545361*z^3 + 18659235*z^2+    + 27113*z + 1+  param-latex: $h^*_{\Delta(6,19)}(z)$+- params:+    n: '19'+    k: '7'+  number: 171*z^16 + 2352713*z^15 + 775920784*z^14 + 48255918534*z^13 + 990731824636*z^12+    + 8594871485071*z^11 + 35842709418778*z^10 + 77065773283965*z^9 + 88367396632750*z^8+    + 54385072015327*z^7 + 17621942820839*z^6 + 2861248364819*z^5 + 212171856865*z^4+    + 6073952205*z^3 + 48409473*z^2 + 50369*z + 1+  param-latex: $h^*_{\Delta(7,19)}(z)$+- params:+    n: '19'+    k: '8'+  number: 11628*z^16 + 31878162*z^15 + 6395409234*z^14 + 304097767654*z^13 + 5211792552439*z^12+    + 39420647699488*z^11 + 146881764495810*z^10 + 286321115707768*z^9 + 300232660601038*z^8+    + 169724227366879*z^7 + 50559857331148*z^6 + 7526441514554*z^5 + 507820784433*z^4+    + 13024616793*z^3 + 90102636*z^2 + 75563*z + 1+  param-latex: $h^*_{\Delta(8,19)}(z)$+- params:+    n: '19'+    k: '9'+  number: 75582*z^16 + 109361511*z^15 + 17545780527*z^14 + 737071348587*z^13 + 11612484687381*z^12+    + 82368474208539*z^11 + 291074747871819*z^10 + 541769568970868*z^9 + 544581671136148*z^8+    + 295702192439491*z^7 + 84635745299443*z^6 + 12087500823853*z^5 + 779463518167*z^4+    + 18959730127*z^3 + 122436247*z^2 + 92359*z + 1+  param-latex: $h^*_{\Delta(9,19)}(z)$+- params:+    n: '20'+    k: '2'+  number: z^10 + 190*z^9 + 4845*z^8 + 38760*z^7 + 125970*z^6 + 184756*z^5 + 125970*z^4+    + 38760*z^3 + 4845*z^2 + 170*z + 1+  param-latex: $h^*_{\Delta(2,20)}(z)$+- params:+    n: '20'+    k: '3'+  number: 20*z^13 + 8455*z^12 + 484500*z^11 + 8533260*z^10 + 61734800*z^9 + 210549165*z^8+    + 362435280*z^7 + 323168150*z^6 + 148060616*z^5 + 33330370*z^4 + 3346280*z^3 ++    123880*z^2 + 1120*z + 1+  param-latex: $h^*_{\Delta(3,20)}(z)$+- params:+    n: '20'+    k: '4'+  number: z^15 + 8835*z^14 + 2038965*z^13 + 97634255*z^12 + 1621045135*z^11 + 11688379531*z^10+    + 41123373615*z^9 + 75065973395*z^8 + 72980758715*z^7 + 37724560705*z^6 + 10060714131*z^5+    + 1295364045*z^4 + 71121845*z^3 + 1313185*z^2 + 4825*z + 1+  param-latex: $h^*_{\Delta(4,20)}(z)$+- params:+    n: '20'+    k: '5'+  number: z^16 + 42084*z^15 + 18338230*z^14 + 1342518340*z^13 + 31243228095*z^12 ++    302786852432*z^11 + 1404380739458*z^10 + 3363552566740*z^9 + 4322264895445*z^8+    + 3012555338660*z^7 + 1123092670108*z^6 + 214763902832*z^5 + 19431933480*z^4 ++    718919340*z^3 + 8223770*z^2 + 15484*z + 1+  param-latex: $h^*_{\Delta(5,20)}(z)$+- params:+    n: '20'+    k: '6'+  number: 8455*z^16 + 16358810*z^15 + 2672057400*z^14 + 110370179600*z^13 + 1708572381210*z^12+    + 11990710860130*z^11 + 42310204249200*z^10 + 79444217584300*z^9 + 81480909758520*z^8+    + 45737438804910*z^7 + 13749669039640*z^6 + 2105483766976*z^5 + 149867640070*z^4+    + 4211021110*z^3 + 34105760*z^2 + 38740*z + 1+  param-latex: $h^*_{\Delta(6,20)}(z)$+- params:+    n: '20'+    k: '7'+  number: 20*z^17 + 1409495*z^16 + 858453820*z^15 + 81311662250*z^14 + 2369117497760*z^13+    + 28327874751315*z^12 + 161408797284160*z^11 + 476419577424490*z^10 + 762141773678000*z^9+    + 673179093472485*z^8 + 327040778272140*z^7 + 85063329007060*z^6 + 11200773586700*z^5+    + 675949071650*z^4 + 15667137060*z^3 + 99090130*z^2 + 77500*z + 1+  param-latex: $h^*_{\Delta(7,20)}(z)$+- params:+    n: '20'+    k: '8'+  number: 4845*z^17 + 34783870*z^16 + 11352891781*z^15 + 775850189385*z^14 + 18211798035045*z^13+    + 185148100760965*z^12 + 924538464224375*z^11 + 2435692164025601*z^10 + 3517044485217165*z^9+    + 2822213885064205*z^8 + 1249029332944455*z^7 + 295743795079555*z^6 + 35286168261971*z^5+    + 1910053052095*z^4 + 38942008125*z^3 + 208340035*z^2 + 125950*z + 1+  param-latex: $h^*_{\Delta(8,20)}(z)$+- params:+    n: '20'+    k: '9'+  number: 77520*z^17 + 209308845*z^16 + 49305029640*z^15 + 2821775678600*z^14 + 58799798443360*z^13+    + 546323521110355*z^12 + 2534708717545540*z^11 + 6266670109931296*z^10 + 8543959393047340*z^9+    + 6496023454577335*z^8 + 2727784026259000*z^7 + 612462511673170*z^6 + 69095814064036*z^5+    + 3515037613920*z^4 + 66569397120*z^3 + 323168340*z^2 + 167940*z + 1+  param-latex: $h^*_{\Delta(9,20)}(z)$+- params:+    n: '20'+    k: '10'+  number: z^18 + 184736*z^17 + 373684439*z^16 + 79469260064*z^15 + 4298493363980*z^14+    + 86221454090612*z^13 + 778285461926792*z^12 + 3526521217218608*z^11 + 8542144050644948*z^10+    + 11432612114864640*z^9 + 8542144050644948*z^8 + 3526521217218608*z^7 + 778285461926792*z^6+    + 86221454090612*z^5 + 4298493363980*z^4 + 79469260064*z^3 + 373684439*z^2 + 184736*z+    + 1+  param-latex: $h^*_{\Delta(10,20)}(z)$ Data properties:   type: Q[]