Details Page for 0.7125

Complete Solution is Known:

MSV File: q-0.7125.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₉(0.7125):

Q = <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 | a²=1, b³=b, b²c=c, c¹⁰=ac⁹, bd=ab, cd=ac, d²=b², b²e=e, c²e=abc³, de=ae, ce²=c³, e⁸=ac⁹, b²f=f, cf=abce, df=af, e⁷f=bc⁹, ef²=abe²f, f⁸=ac⁹, b²g=g, c²g=ac⁴, dg=ag, ceg=bc⁴, e⁶g=c⁹, e⁵fg=abc⁹, f³g=e²fg, cg²=c⁵, e²g²=ae⁴g, fg²=ae²fg, g³=e⁴g, b²h=h, ch=abcg, dh=ah, e²h=ae³f, f²h=bf⁴, fgh=be²fg, g²h=e³fg, h²=f⁴, b²i=i, ci=cg, di=ai, e³i=e³g, efi=efg, f²i=abefg, egi=eg², fgi=egh, ehi=ae²fg, fhi=abegh, ei²=ae³g, fi²=egh, gi²=g²i, hi²=e³fg, i³=e⁴g, b²j=j, c²j=abc⁵, dj=aj, cej=c⁵, e²j=ae³g, efj=egh, f²j=be²fg, cgj=bc⁶, egj=g²i, fgj=e³fg, g²j=ae⁵g, hj=e²fg, eij=e⁴g, fij=ghi, i²j=ae⁵g, j²=ae⁴g, b²k=k, ck=abcj, dk=ak, e²k=e⁴f, f²k=f⁵, egk=ghi, fgk=abe³fg, g²k=ae⁴fg, hk=bf⁵, eik=e³fg, fik=abghi, i²k=ae⁴fg, jk=ae³fg, k²=f⁶, b²l=l, c²l=ac⁶, dl=al, el=ij, fl=gk, cgl=c⁷, g²l=c⁹, hl=ae³fg, i²l=c⁹, jl=e⁵g, kl=e⁴fg, l²=ac⁹, b²m=m, c³m=bc⁷, dm=am, cem=abc²m, e²m=ae⁵f, f²m=bf⁶, cgm=abc⁷, egm=gik, fgm=be⁴fg, g²m=abc⁹, hm=f⁶, eim=ae⁴fg, fim=abgik, gim=abgil, i²m=abc⁹, jm=e⁴fg, km=bf⁷, lm=bc⁹, m²=ac⁹, b²n=n, cn=abcm, dn=an, e²n=e⁴g, efn=ghi, f²n=abe³fg, gn=gl, hn=ae³fg, in=il, jn=e⁵g, kn=e⁴fg, ln=ac⁹, mn=bc⁹, n²=ac⁹, b²o=o, c³o=abc⁸, do=ao, ceo=abc²o, e²o=ae⁵g, efo=gik, f²o=be⁴fg, cgo=bc⁸, ego=gil, fgo=abc⁹, g²o=abc⁹, ho=e⁴fg, eio=c⁹, fio=abgil, gio=abgil, i²o=abc⁹, jo=ac⁹, ko=bc⁹, lo=bc⁹, mo=ac⁹, no=bc⁹, o²=ac⁹, b²p=p, c⁴p=c⁹, dp=ap, cep=abc²p, e³p=bc⁹, efp=abe²p, f³p=ac⁹, cgp=ac³p, egp=abc⁹, fgp=c⁹, g²p=c⁹, hp=bf²p, ip=gp, jp=bc⁹, kp=ac⁹, lp=ac⁹, mp=bc⁹, np=ac⁹, op=bc⁹, p²=ac⁹, b²q=q, cq=abcp, dq=aq, e³q=ac⁹, efq=agp, f³q=bc⁹, gq=ae²q, hq=bf²q, iq=ae²q, jq=ac⁹, kq=bc⁹, lq=bc⁹, mq=ac⁹, nq=bc⁹, oq=ac⁹, pq=bc⁹, q²=ac⁹, b²r=r, c³r=agil, dr=ar, cer=abc²r, e³r=bc⁹, e²fr=agil, f³r=ac⁹, gr=ae²r, ehr=gil, fhr=abc⁹, ir=ae²r, jr=bc⁹, kr=ac⁹, lr=ac⁹, mr=bc⁹, nr=ac⁹, or=bc⁹, pr=ac⁹, qr=bc⁹, r²=ac⁹, b²s=s, c³s=aefr, ds=as, ces=abc²s, e⁴s=abc⁹, efs=abe²s, f²s=e²s, cgs=efr, e²gs=bc⁹, fgs=abegs, g²s=abc⁹, hs=be²s, is=gs, js=aegs, ks=abe³s, ls=bc⁹, ms=ac⁹, ns=bc⁹, os=ac⁹, ps=bc⁹, qs=ac⁹, rs=bc⁹, s²=ac⁹, b²t=t, ct=abcs, dt=at, e²t=bgs, eft=ags, f³t=e³s, gt=abgs, ht=bf²t, it=abgs, jt=begs, kt=e³s, lt=ac⁹, mt=bc⁹, nt=ac⁹, ot=bc⁹, pt=ac⁹, qt=bc⁹, rt=ac⁹, st=bc⁹, t²=ac⁹, b²u=u, c³u=aefr, du=au, ceu=abc²u, e³u=ae²r, efu=abc²u, f³u=bf²r, gu=ae²u, ehu=efr, fhu=f²r, iu=ae²u, ju=ae²r, ku=hr, lu=bc⁹, mu=ac⁹, nu=bc⁹, ou=ac⁹, pu=bc⁹, qu=ac⁹, ru=bc⁹, su=ac⁹, tu=bc⁹, u²=ac⁹, b²v=v, c³v=bc²u, dv=av, cev=abc²v, e³v=ae²s, fv=abev, cgv=abc²u, egv=ags, g²v=egs, hv=be²v, iv=gv, jv=gs, kv=be²s, lv=aegs, mv=abe³s, nv=aegs, ov=bc⁹, pv=ac⁹, qv=bc⁹, rv=ac⁹, sv=bc⁹, tv=ac⁹, uv=bc⁹, v²=ac⁹, b²w=w, cw=abcv, dw=aw, e²w=bgv, efw=agv, f³w=bf²t, gw=abgv, hw=bf²w, iw=abgv, jw=abgs, kw=bf²t, lw=begs, mw=e³s, nw=begs, ow=ac⁹, pw=bc⁹, qw=ac⁹, rw=bc⁹, sw=ac⁹, tw=bc⁹, uw=ac⁹, vw=bc⁹, w²=ac⁹, b²x=x, c²x=c²v, dx=ax, cex=abc²v, e²x=aeu, efx=abc²v, f²x=bfu, gx=eu, hx=fu, ix=eu, jx=ae²u, kx=hu, lx=ae²r, mx=hr, nx=ae²r, ox=bc⁹, px=ac⁹, qx=bc⁹, rx=ac⁹, sx=bc⁹, tx=ac⁹, ux=bc⁹, vx=ac⁹, wx=bc⁹, x²=ac⁹, b²y=y, c²y=bcx, dy=ay, cey=acx, e²y=aev, fy=abey, gy=abew, hy=abev, iy=abew, jy=gv, ky=be²v, ly=gs, my=be²s, ny=gs, oy=aegs, py=abe³s, qy=aegs, ry=bc⁹, sy=ac⁹, ty=bc⁹, uy=ac⁹, vy=bc⁹, wy=ac⁹, xy=bc⁹, y²=ac⁹, b²z=z, cz=abcy, dz=az, e²z=aew, efz=bew, f²z=bfw, gz=ew, hz=fw, iz=ew, jz=abgv, kz=bf²w, lz=abgs, mz=bf²t, nz=abgs, oz=begs, pz=e³s, qz=begs, rz=ac⁹, sz=bc⁹, tz=ac⁹, uz=bc⁹, vz=ac⁹, wz=bc⁹, xz=ac⁹, yz=bc⁹, z²=ac⁹, b²A=A, cA=cy, dA=aA, e²A=aex, efA=acx, f²A=bfx, gA=ex, hA=fx, iA=ex, jA=eu, kA=fu, lA=ae²u, mA=hu, nA=ae²u, oA=ae²r, pA=hr, qA=ae²r, rA=bc⁹, sA=ac⁹, tA=bc⁹, uA=ac⁹, vA=bc⁹, wA=ac⁹, xA=bc⁹, yA=ac⁹, zA=bc⁹, A²=ac⁹, b²B=B, c²B=bcy, dB=aB, ceB=acy, e²B=aeA, efB=acy, f²B=bfA, gB=eA, hB=fA, iB=eA, jB=ex, kB=fx, lB=eu, mB=fu, nB=eu, oB=ae²u, pB=hu, qB=ae²u, rB=ae²r, sB=hr, tB=ae²r, uB=bc⁹, vB=ac⁹, wB=bc⁹, xB=ac⁹, yB=bc⁹, zB=ac⁹, AB=bc⁹, B²=ac⁹, b²C=C, c²C=bcB, dC=aC, ceC=acB, e²C=y, fC=abeC, cgC=acy, egC=bez, g²C=bew, hC=by, iC=gC, jC=abez, kC=abey, lC=abew, mC=abev, nC=abew, oC=gv, pC=be²v, qC=gv, rC=gs, sC=be²s, tC=gs, uC=aegs, vC=abe³s, wC=aegs, xC=bc⁹, yC=ac⁹, zC=bc⁹, AC=ac⁹, BC=bc⁹, C²=ac⁹, b²D=D, cD=abcC, dD=aD, e²D=bgC, efD=agC, f²D=z, gD=abgC, hD=bz, iD=abgC, jD=ez, kD=fz, lD=ew, mD=fw, nD=ew, oD=abgv, pD=bf²w, qD=abgv, rD=abgs, sD=bf²t, tD=abgs, uD=begs, vD=e³s, wD=begs, xD=ac⁹, yD=bc⁹, zD=ac⁹, AD=bc⁹, BD=ac⁹, CD=bc⁹, D²=ac⁹>

P = {a, b², abc, c², ac³, c⁴, ac⁵, c⁶, ac⁷, c⁸, ac⁹, e², be³, e⁴, be⁵, e⁶, be⁷, aef, abe³f, ae⁴f, abe⁵f, ae⁶f, f², af³, f⁴, af⁵, f⁶, af⁷, aeg, abe³g, ae⁴g, abe⁵g, fg, e²fg, be³fg, e⁴fg, af²g, g², bh, eh, abfh, abgh, abei, ae²i, bfi, bgi, abhi, i², aj, bl, am, cm, bn, co, bp, abcp, bc²p, ae²p, af²p, abeq, bf²q, br, abcr, bc²r, er, aefr, abhr, cs, ac²s, abes, e³s, fs, gs, et, abft, au, cu, ac²u, abeu, ae²u, fu, af²u, abcv, bc²v, ev, be²v, abgv, aw, abew, fw, af²w, bx, abcx, ex, abfx, ay, cy, abey, bz, ez, abfz, aA, abeA, fA, bB, abcB, eB, abfB, aC, cC, abeC, gC, bD, eD, abfD}

Phi = 1 a b a b c b d b ab² e f e g h i j k j l m n o p q r s t u v w x y z A aeC bfD B C D

Monoid Structure