> restart; #with(combinat): > gbc:=proc(q,m,r) local i,j,k,sz,nev,thisisit; > sz:=1; nev:=1; > for i from m-r+1 to m do sz:=sz*(1-q^i) od; > for i from 1 to r do nev:=nev*(1-q^i) od; > thisisit:=round(evalf(sz/nev)); > end: > for q from 2 to 19 do > if member(q, {2,3,4,5,7,8,9,11,13,16,17,19}) > then d:=80: ehat:=gbc(q,d,floor(d/2)): print(" "): > print(cat("d=",d,", q=",q," d chooses d/2 w.r.t. q=", > ehat,", and its log[10]=", evalf(log[10](ehat)) )): > fi: > od: " " "d=80, q=2 d chooses d/2 w.r.t. q=153962082300000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000, and its l\ og[10]=".(482.1874138) " " "d=80, q=3 d chooses d/2 w.r.t. q=442304908300000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000, and its log[10]=". (763.6457216) " " "d=80, q=4 d chooses d/2 w.r.t. q=287116732600000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 000000, and its log[10]=".(963.4580584) " " "d=80, q=5 d chooses d/2 w.r.t. q=295803435800000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 000000000000000000000000000000000000000000000, and its log\ [10]=".(1118.471003) " " "d=80, q=7 d chooses d/2 w.r.t. q=171492343400000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000, and its l\ og[10]=".(1352.234245) " " "d=80, q=8 d chooses d/2 w.r.t. q=102277665900000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 000000000000000000000000, and its log[10]=".(1445.009781) " " "d=80, q=9 d chooses d/2 w.r.t. q=700218013200000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000, and its l\ og[10]=".(1526.845233) " " "d=80, q=11 d chooses d/2 w.r.t. q=18778119880000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 00000000000000, and its log[10]=".(1666.273652) " " "d=80, q=13 d chooses d/2 w.r.t. q=22228871460000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 00000000000000, and its log[10]=".(1782.346918) " " "d=80, q=16 d chooses d/2 w.r.t. q=41861411550000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 000000000000000000000000000000000000000000, and its log[10\ ]=".(1926.621814) " " "d=80, q=17 d chooses d/2 w.r.t. q=55744552030000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 00000000000000000000000000, and its log[10]=".(1968.746203) " " "d=80, q=19 d chooses d/2 w.r.t. q=10727886280000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000000000000, and its lo\ g[10]=".(2046.030514) >