=== Misere Play Analysis Complete for 0.4107 === Size 506: {a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z,A,B,C,D,E,F,G,H | a2=1,b5=b3,b3c2=b3,b2c3=b2c,c4=c2,bd=ab3,c3d=cd,d2=b4,be=ab,ce=ac,de=ad,e3=ae2, bf=b4,c3f=cf,df=ab3,ef=af,f2=b4,b3g=ab4c,bcg=ab2c2,c2g=abc3,dg=ab2g,eg=ag,cfg=ab4, g2=b2,b2h=ab3,bc3h=bch,dh=b3,eh=ah,fh=ab4,bgh=ab2g,cgh=abc2h,h2=b4,b3i=b3c,bc2i=bi, c3i=ci,c2di=di,ei=ai,fi=b3c,bgi=ab2ci,cgi=abi,c2hi=hi,ghi=abchi,i2=b2ci,bj=ab3, c3j=cj,c2dj=dj,ej=aj,fj=ab3,gj=ab2g,hj=b3,ij=bhi,j2=b4,bk=bc,c2dk=dk,ek=ak,fgk=ab4, c3hk=chk,ghk=abc2h,c2ik=ik,dik=bchi,gik=abi,hik=chi,c2jk=jk,djk=b4c,k2=ck,bl=ab2c, c3l=cl,dl=b3c,el=al,fl=ab4c,cgl=b2c,hl=abch,c2il=il,gil=b2i,jl=b3c,kl=cl,l2=b2ci, b2m=ab3c,bc2m=bm,c3m=cm,dm=b3c,em=am,fm=ab4c,gm=abcm,bhm=b3c,c2hm=hm,bim=ab2ci, c2im=im,jm=b3c,km=cm,lm=abcm,m2=b4,bn=b2,dn=ab3,en=an,fn=b4,cgn=ab2c2,hn=bh,in=acil, jn=ab3,kn=cn,ln=ab2i,mn=bm,n2=b4,b2o=b3,bc2o=bo,do=ab3,eo=ao,fo=b4,bgo=ab3c,cgo=abo, ho=abo,bio=chim,c2io=io,gio=ahim,jo=ab3,ko=co,lo=achim,mo=abco,no=b4,o2=b4,bp=ab3, cp=ab2c,dp=b4,ep=ap,fp=ab3,gp=ab2g,hp=b3,ip=ab2i,jp=b4,kp=ab2c,lp=b3c,mp=b3c,np=ab3, op=ab3,p2=b4,b2q=b2i,bcq=aim,c3q=cq,c2dq=dq,eq=aq,fq=b3c,gq=im,bhq=achim,c2hq=hq, biq=b3,c2iq=iq,diq=adj,hiq=ab3,jq=bhi,c2kq=kq,dkq=bchi,hkq=chq,ikq=b2i,c2lq=lq, ilq=ab3c,bmq=ab4,c2mq=mq,hmq=him,imq=ab3c,cnq=alq,oq=io,pq=ab2i,bq2=b3,c2q2=q2, dq2=adj,hq2=ab3,iq2=b4c,kq2=b2i,lq2=ab3c,mq2=ab3c,nq2=b3,q3=b4c,b2r=b4c,cr=b2, dr=ab4c,er=ar,fr=ab2g,hr=abr,ir=b2ci,jr=ab4c,kr=b2,lr=ab3,mr=ab3,nr=b3c,or=ab2g, pr=ab4c,qr=b2ci,r2=b4,bs=acjk,ds=ab3,es=as,fs=b4,gs=jk,c2hs=hs,c2is=is,his=bhi, js=ab3,ks=cs,ls=bhi,ms=chs,ns=b4,os=b4,ps=ab3,c2qs=qs,hqs=achim,iqs=b3,q2s=b3, rs=b3c,s2=b4,bt=ab2i,c3t=ct,dt=b3c,et=at,ft=ab4c,cgt=b2i,ht=hm,c2it=it,git=b4c, jt=b3c,kt=ct,lt=b4,mt=b4,nt=ab4c,ot=ab4c,pt=b3c,qt=it,rt=ab3,st=ab4c,t2=b4,b2u=abo, c3u=cu,du=bo,eu=au,cgu=abc2u,bc2hu=bhu,bhiu=chim,ju=bo,ku=cu,c2lu=lu,glu=abo, bmu=bchu,c2mu=mu,hmu=ab4c,imu=chiu,c2nu=nu,gnu=bco,ou=fu,pu=bo,bqu=ahiu,hqu=b3c, iqu=ahim,mqu=b3,nqu=aclqu,q2u=ahim,su=nu,tu=clqu,u2=b4,bv=b2ci,c3v=cv,dv=ab3,ev=av, fv=b2ci,cgv=ab2ci,c2hv=hv,ghv=b3c,civ=ait,giv=bgr,hiv=achim,jv=ab3,kv=cv,lv=ab4c, mv=ab4c,nv=b4,ov=b2ci,pv=ab3,qv=acit,rv=b3c,sv=b4,tv=ab4c,huv=him,iuv=bru,v2=b4, bw=ab4c,c3w=cw,dw=b3c,ew=aw,fw=ab4c,gw=bgru,hw=hm,iw=it,jw=b3c,kw=cw,lw=b4,mw=b4, nw=ab4c,ow=ab4c,pw=b3c,qw=it,rw=ab3,sw=ab4c,tw=b4,uw=b3c,vw=ab4c,w2=b4,b2x=bru, bcx=abgru,c2x=cfu,dx=abru,ex=ax,cfx=ab4,cgx=afx,fgx=b3,bhx=abru,chx=bgru,bix=ab4, cix=ab3c,gix=fgu,hix=b4,jx=abru,fkx=abgru,hkx=bgru,ikx=ab3c,lx=bgru,mx=bgru, cnx=abgru,gnx=gru,ox=agkx,px=abru,qx=ghx,brx=abgru,sx=agrx,tx=b4,ux=b3c,vx=aguv, wx=b4,x2=b4,by=br,c2y=b2i,dy=ab4c,ey=ay,fy=br,cgy=b2g,hy=abr,ciy=b4c,giy=b2g, jy=ab4c,ky=cy,ly=ab3,my=ab3,ny=b3c,oy=br,py=ab4c,qy=abgr,ry=b4,sy=b3c,ty=ab3, cuy=ahim,iuy=abgru,vy=b3c,wy=ab3,cxy=bru,ixy=bru,y2=b4,bz=abgx,dz=bgru,ez=az, fz=ab3,cgz=b3,hz=aghx,ciz=ahim,giz=b3,jz=bgru,kz=cz,lz=b3c,mz=b3c,nz=agru,oz=ab3, pz=bgru,qz=achim,rz=agrx,sz=ab3,tz=b3c,uz=him,vz=ab3,wz=b3c,xz=b3c,yz=agxy,z2=b4, bA=ab4c,cA=ab3,dA=b3c,eA=aA,fA=ab4c,hA=b4c,iA=ab3,jA=b3c,kA=ab3,lA=b4,mA=b4,nA=ab4c, oA=ab4c,pA=b3c,qA=ab3,rA=ab3,sA=ab4c,tA=b4,uA=abru,vA=ab4c,wA=b4,xA=bgru,yA=ab3, zA=b3c,A2=b4,bB=abco,cB=nu,dB=b3c,eB=aB,fB=ab4c,hB=bchu,iB=ailu,jB=b3c,kB=nu,lB=him, mB=bhu,nB=ab4c,oB=ab4c,pB=b3c,qB=alqu,rB=ab3,sB=ab4c,tB=b4,uB=abru,vB=ab4c,wB=b4, xB=bgru,yB=ab3,zB=b3c,AB=b4,B2=b4,b2C=b3,bcC=ac3z,c3C=cC,dC=ab3,eC=aC,fC=b4,gC=c3z, hC=abo,iC=io,jC=ab3,kC=cC,lC=achim,mC=abco,nC=b4,oC=b4,pC=ab3,qC=io,rC=b3c,sC=b4, tC=ab4c,uC=alqu,vC=b4,wC=ab4c,xC=ab4c,yC=b3c,zC=ab3,AC=ab4c,BC=ab4c,C2=b4,bD=ab3, cD=ab4c,dD=b4,eD=aD,fD=ab3,gD=ab2g,hD=b3,iD=ab4c,jD=b4,kD=ab4c,lD=b3c,mD=b3c,nD=ab3, oD=ab3,pD=b4,qD=ab4c,rD=ab4c,sD=ab3,tD=b3c,uD=bgru,vD=ab3,wD=b3c,xD=abru,yD=ab4c, zD=bgru,AD=b3c,BD=b3c,CD=ab3,D2=b4,bE=agrx,c2E=ab3c,dE=b3c,eE=aE,fE=ab4c,gE=gA, hE=grx,iE=ab3,jE=b3c,kE=cE,lE=b4,mE=bgru,nE=ab4c,oE=ab4c,pE=b3c,qE=ab3,rE=ab3, sE=ab4c,tE=b4,uE=abru,vE=ab4c,wE=b4,xE=bgru,yE=ab3,zE=b3c,AE=b4,BE=b4,CE=ab4c, DE=b3c,E2=b4,b2F=b3,bcF=bco,c3F=cF,dF=ab3,eF=aF,fF=b4,gF=abco,hF=abF,iF=io,jF=ab3, kF=cF,lF=achim,mF=abco,nF=b4,oF=b4,pF=ab3,qF=io,rF=b3c,sF=b4,tF=ab4c,uF=ab3,vF=b4, wF=ab4c,xF=ab4c,yF=b3c,zF=ab3,AF=ab4c,BF=ab4c,CF=b4,DF=ab3,EF=ab4c,F2=b4,bG=b3c, c3G=cG,dG=acdj,eG=aG,fG=b3c,gG=ab3,hG=ab3c,ciG=cdj,jG=ab4c,kG=him,lG=ab3,mG=ab3, nG=b3c,oG=b3c,pG=ab4c,qG=b4,rG=b4,sG=b3c,tG=ab3,uG=ab4c,vG=b3c,wG=ab3,xG=ab3,yG=b4, zG=ab4c,AG=ab3,BG=ab3,CG=b3c,DG=ab4c,EG=ab3,FG=b3c,G2=b4,bH=achim,c2H=H,dH=b3c,eH=aH, gH=him,hH=afH,iH=ab3,jH=b3c,kH=c2uv,lH=b4,mH=b4,nH=ab4c,oH=achim,pH=b3c,qH=ab3,rH=ab3, sH=ab4c,tH=b4,uH=b3c,vH=ab4c,wH=b4,xH=b4,yH=ab3,zH=b3c,AH=b4,BH=b4,CH=ab4c,DH=b3c, EH=b4,FH=ab4c,GH=ab3,H2=b4} P-positions = {a,b2,b4,c2,b2c2,acd,e2,ah,abch,b2ci,achi,cj,ck,c3k,adk,al,abcm,hm,ao, ac2o,acio,cq,adq,achq,kq,q2,abgr,as,ac2s,acis,acqs,at,abu,abc2u,hu,c2hu,abciu,giu, chiu,clu,cmu,abru,achv,acuv,aw,ackx,cy,iy,aA,aB,bC,ac2C,cE,bF,ac2F,ac2G,iG,acfH} Idempotents = {1,b4,c2,e2,c3k | c2 < e2; b4 < c3k; c3k < c2} Phi = 1 1 a a b b ab c c d e f g h b i ab2 j k l m n o p q r abo anq b3 s t abm cq2 u cjk v w x b3 y agt z b2i A B b3 C D b4c bco abF E b3 F ab3c grx G abF abF b3 ab3c H b3 b4c ab4 cfH b4c ab3c ab3c b3 b3 ab4 b4c b4c ab4 ab3c b3 b3 ab3c b4c b4c ab4 ab4 b3 ab3c ab3c b3 b4c ab4 ab4 b4c ab3c ab3c b3 b3 ab4 b4c b4c ab4 ab3c b3 b3 ab3c b4c b4c ab4 ab4 b3 ab3c ab3c b3 b4c ab4 ab4 b4c ab3c ab3c b3 b3 ab4 b4c b4c ab4 ab3c b3 b3 ab3c b4c b4c ab4 ab4 b3 ab3c ab3c b3 b4c ab4 ab4 b4c ab3c ab3c b3 b3 ab4 b4c b4c ab4 ab3c b3 b3 ab3c b4c b4c ab4 ab4 b3 ab3c ab3c b3 b4c ab4 ab4 b4c ab3c ab3c b3 b3 ab4 b4c b4c ab4 ab3c b3 b3 ab3c b4c b4c ab4 ab4 b3 ab3c ab3c b3 b4c ab4 Normal Period : 24 Normal Ppd : 14 Normal Max G : G(12) = 7 Misere Period : 24 Misere Ppd : 66 Quotient Order: 506 Last Tame Heap: 8 Last Heap Cptd: 184