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 Q₃₄(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 | a²=1, b³=b, b²c=c, c⁸=ac⁷, bd=ab, cd=ac, d²=b², b²e=e, c²e=abc³, de=ae, ce²=c³, e⁶=ac⁷, b²f=f, cf=abce, df=af, ef²=abe²f, f⁶=ac⁷, b²g=g, c²g=ac⁴, dg=ag, ceg=bc⁴, e⁴g=c⁷, e³fg=ae⁵f, f³g=e²fg, cg²=c⁵, e²g²=ac⁷, fg²=ae²fg, g³=c⁷, b²h=h, ch=abcg, dh=ah, e²h=ae³f, f²h=bf⁴, fgh=be²fg, g²h=ae⁵f, 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=ae⁵f, i³=c⁷, b²j=j, c²j=abc⁵, dj=aj, cej=c⁵, e²j=ae³g, efj=egh, f²j=be²fg, cgj=bc⁶, egj=g²i, fgj=ae⁵f, g²j=abc⁷, hj=e²fg, eij=c⁷, fij=ghi, gij=abg²i, i²j=abc⁷, j²=ac⁷, b²k=k, ck=abcj, dk=ak, e²k=e⁴f, f²k=f⁵, egk=ghi, fgk=be⁵f, g²k=c⁷, hk=bf⁵, eik=ae⁵f, fik=abghi, gik=g²i, i²k=c⁷, jk=e⁵f, k²=ac⁷, b²l=l, c²l=ac⁶, dl=al, el=ij, fl=gk, cgl=c⁷, g²l=c⁷, hl=e⁵f, gil=g²i, i²l=c⁷, jl=bc⁷, kl=ac⁷, l²=ac⁷, b²m=m, c³m=bc⁷, dm=am, cem=abc²m, e²m=ae⁵f, efm=abghi, f²m=abc⁷, cgm=abc⁷, egm=g²i, fgm=abc⁷, g²m=abc⁷, hm=ac⁷, eim=c⁷, fim=abg²i, gim=abg²i, i²m=abc⁷, jm=ac⁷, km=bc⁷, lm=bc⁷, m²=ac⁷, b²n=n, cn=abcm, dn=an, e²n=c⁷, efn=ghi, f²n=be⁵f, gn=gl, hn=e⁵f, in=il, jn=bc⁷, kn=ac⁷, ln=ac⁷, mn=bc⁷, n²=ac⁷, b²o=o, c²o=abg²i, do=ao, ceo=g²i, e²o=abc⁷, efo=g²i, f²o=abc⁷, go=abgl, ho=ac⁷, io=abil, jo=ac⁷, ko=bc⁷, lo=bc⁷, mo=ac⁷, no=bc⁷, o²=ac⁷, b²p=p, c³p=ag²i, dp=ap, cep=abc²p, e³p=bc⁷, efp=abe²p, f²p=e²p, cgp=g²i, egp=abc⁷, fgp=c⁷, g²p=c⁷, hp=be²p, ip=gp, jp=bc⁷, kp=ac⁷, lp=ac⁷, mp=bc⁷, np=ac⁷, op=bc⁷, p²=ac⁷, b²q=q, cq=abcp, dq=aq, e²q=bgp, efq=agp, f²q=abe²p, gq=abgp, hq=ae²p, iq=abgp, jq=ac⁷, kq=bc⁷, lq=bc⁷, mq=ac⁷, nq=bc⁷, oq=ac⁷, pq=bc⁷, q²=ac⁷, b²r=r, c²r=c²p, dr=ar, cer=abc²p, e³r=bc⁷, efr=abc²p, f³r=ac⁷, gr=ae²r, ehr=g²i, fhr=abc⁷, ir=ae²r, jr=bc⁷, kr=ac⁷, lr=ac⁷, mr=bc⁷, nr=ac⁷, or=bc⁷, pr=ac⁷, qr=bc⁷, r²=ac⁷, b²s=s, c²s=bcr, ds=as, ces=acr, e²s=bfp, fs=abes, gs=abeq, hs=fp, is=abeq, js=gp, ks=be²p, ls=bc⁷, ms=ac⁷, ns=bc⁷, os=ac⁷, ps=bc⁷, qs=ac⁷, rs=bc⁷, s²=ac⁷, b²t=t, ct=abcs, dt=at, e²t=aeq, eft=beq, f³t=ae²p, gt=eq, ht=bf²t, it=eq, jt=abgp, kt=ae²p, lt=ac⁷, mt=bc⁷, nt=ac⁷, ot=bc⁷, pt=ac⁷, qt=bc⁷, rt=ac⁷, st=bc⁷, t²=ac⁷, b²u=u, cu=cs, du=au, e²u=aer, efu=acr, f³u=bf²r, gu=er, hu=fr, iu=er, ju=ae²r, ku=hr, lu=bc⁷, mu=ac⁷, nu=bc⁷, ou=ac⁷, pu=bc⁷, qu=ac⁷, ru=bc⁷, su=ac⁷, tu=bc⁷, u²=ac⁷, b²v=v, c²v=bcs, dv=av, cev=acs, e²v=aes, fv=abev, gv=abet, hv=abes, iv=abet, jv=abeq, kv=fp, lv=gp, mv=be²p, nv=gp, ov=bc⁷, pv=ac⁷, qv=bc⁷, rv=ac⁷, sv=bc⁷, tv=ac⁷, uv=bc⁷, v²=ac⁷, b²w=w, cw=abcv, dw=aw, e²w=aet, efw=bet, f²w=bft, gw=et, hw=ft, iw=et, jw=eq, kw=bf²t, lw=abgp, mw=ae²p, nw=abgp, ow=ac⁷, pw=bc⁷, qw=ac⁷, rw=bc⁷, sw=ac⁷, tw=bc⁷, uw=ac⁷, vw=bc⁷, w²=ac⁷, b²x=x, cx=cv, dx=ax, e²x=aeu, efx=acs, f²x=bfu, gx=eu, hx=fu, ix=eu, jx=er, kx=fr, lx=ae²r, mx=hr, nx=ae²r, ox=bc⁷, px=ac⁷, qx=bc⁷, rx=ac⁷, sx=bc⁷, tx=ac⁷, ux=bc⁷, vx=ac⁷, wx=bc⁷, x²=ac⁷, b²y=y, c²y=bcv, dy=ay, cey=acv, e²y=aev, fy=abey, gy=abew, hy=abev, iy=abew, jy=abet, ky=abes, ly=abeq, my=fp, ny=abeq, oy=gp, py=be²p, qy=gp, ry=bc⁷, sy=ac⁷, ty=bc⁷, uy=ac⁷, vy=bc⁷, wy=ac⁷, xy=bc⁷, y²=ac⁷, b²z=z, cz=abcy, dz=az, e²z=aew, fz=bw, gz=ew, hz=fw, iz=ew, jz=et, kz=ft, lz=eq, mz=bf²t, nz=eq, oz=abgp, pz=ae²p, qz=abgp, rz=ac⁷, sz=bc⁷, tz=ac⁷, uz=bc⁷, vz=ac⁷, wz=bc⁷, xz=ac⁷, yz=bc⁷, z²=ac⁷, b²A=A, cA=cy, dA=aA, e²A=aex, efA=acv, f²A=bfx, gA=ex, hA=fx, iA=ex, jA=eu, kA=fu, lA=er, mA=fr, nA=er, oA=ae²r, pA=hr, qA=ae²r, rA=bc⁷, sA=ac⁷, tA=bc⁷, uA=ac⁷, vA=bc⁷, wA=ac⁷, xA=bc⁷, yA=ac⁷, zA=bc⁷, A²=ac⁷>

P = {a, b², abc, c², ac³, c⁴, ac⁵, c⁶, ac⁷, e², be³, e⁴, be⁵, aef, abe³f, ae⁴f, abe⁵f, f², af³, f⁴, af⁵, aeg, abe³g, fg, e²fg, af²g, g², bh, eh, abfh, abgh, abei, ae²i, bfi, bgi, abhi, i², aj, bl, am, cm, bn, co, bp, abcp, bc²p, ae²p, abeq, br, abcr, er, abhr, cs, abes, et, abft, au, abeu, fu, af²u, abcv, ev, aw, abew, fw, bx, ex, abfx, ay, cy, abey, bz, ez, aA, abeA, fA}

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

Monoid Structure