Details Page for 0.7135

Complete Solution is Known:

MSV File: q-0.7135.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₅(0.7135):

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 | a²=1, b³=b, b²c=c, c⁹=ac⁸, bd=ab, cd=ac, d²=b², b²e=e, c²e=abc³, de=ae, ce²=c³, e⁷=bc⁸, b²f=f, cf=abce, df=af, e⁶f=ac⁸, ef²=abe²f, f⁶=e⁶, b²g=g, c²g=ac⁴, dg=ag, ceg=bc⁴, e⁵g=abc⁸, e⁴fg=c⁸, 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=bc⁸, hj=e²fg, eij=e⁴g, fij=ghi, i²j=bc⁸, j²=ae⁴g, b²k=k, ck=abcj, dk=ak, e²k=e⁴f, f²k=f⁵, egk=ghi, fgk=abe³fg, g²k=ac⁸, hk=bf⁵, eik=e³fg, fik=abghi, gik=abgij, i²k=ac⁸, jk=ae³fg, k²=e⁶, b²l=l, c²l=ac⁶, dl=al, el=ij, fl=gk, cgl=c⁷, g²l=ac⁸, hl=ae³fg, gil=abgij, i²l=ac⁸, jl=abc⁸, kl=c⁸, l²=c⁸, b²m=m, c³m=bc⁷, dm=am, cem=abc²m, e²m=ae⁵f, f²m=be⁶, cgm=abc⁷, egm=abgij, fgm=bc⁸, g²m=bc⁸, hm=e⁶, eim=ac⁸, fim=gij, gim=gij, i²m=bc⁸, jm=c⁸, km=abc⁸, lm=abc⁸, m²=c⁸, b²n=n, cn=abcm, dn=an, e²n=e⁴g, efn=ghi, f²n=abe³fg, gn=gl, hn=ae³fg, in=il, jn=abc⁸, kn=c⁸, ln=c⁸, mn=abc⁸, n²=c⁸, b²o=o, c³o=abc⁸, do=ao, ceo=abc²o, e²o=bc⁸, efo=abgij, f²o=bc⁸, cgo=bc⁸, ego=abgij, fgo=bc⁸, g²o=bc⁸, ho=c⁸, eio=ac⁸, fio=gij, gio=gij, i²o=bc⁸, jo=c⁸, ko=abc⁸, lo=abc⁸, mo=c⁸, no=abc⁸, o²=c⁸, b²p=p, c³p=bgij, dp=ap, cep=abc²p, e³p=abc⁸, efp=abe²p, f²p=e²p, cgp=abgij, egp=bc⁸, fgp=ac⁸, g²p=ac⁸, hp=be²p, ip=gp, jp=abc⁸, kp=c⁸, lp=c⁸, mp=abc⁸, np=c⁸, op=abc⁸, p²=c⁸, b²q=q, cq=abcp, dq=aq, e²q=bgp, efq=agp, f²q=abe²p, gq=abgp, hq=ae²p, iq=abgp, jq=c⁸, kq=abc⁸, lq=abc⁸, mq=c⁸, nq=abc⁸, oq=c⁸, pq=abc⁸, q²=c⁸, b²r=r, c³r=bgij, dr=ar, cer=abc²r, e³r=abc⁸, efr=abc²r, f³r=c⁸, gr=ae²r, ehr=abgij, fhr=bc⁸, ir=ae²r, jr=abc⁸, kr=c⁸, lr=c⁸, mr=abc⁸, nr=c⁸, or=abc⁸, pr=c⁸, qr=abc⁸, r²=c⁸, b²s=s, c³s=bc²r, ds=as, ces=abc²s, e³s=ae²p, fs=abes, cgs=abc²r, egs=agp, g²s=bc⁸, hs=be²s, is=gs, js=gp, ks=be²p, ls=abc⁸, ms=c⁸, ns=abc⁸, os=c⁸, ps=abc⁸, qs=c⁸, rs=abc⁸, s²=c⁸, b²t=t, ct=abcs, dt=at, e²t=bgs, eft=ags, f³t=ae²p, gt=abgs, ht=bf²t, it=abgs, jt=abgp, kt=ae²p, lt=c⁸, mt=abc⁸, nt=c⁸, ot=abc⁸, pt=c⁸, qt=abc⁸, rt=c⁸, st=abc⁸, t²=c⁸, b²u=u, c²u=c²s, du=au, ceu=abc²s, e²u=aer, efu=abc²s, f³u=bf²r, gu=er, hu=fr, iu=er, ju=ae²r, ku=hr, lu=abc⁸, mu=c⁸, nu=abc⁸, ou=c⁸, pu=abc⁸, qu=c⁸, ru=abc⁸, su=c⁸, tu=abc⁸, u²=c⁸, b²v=v, c²v=bcu, dv=av, cev=acu, e²v=aes, fv=abev, gv=abet, hv=abes, iv=abet, jv=gs, kv=be²s, lv=gp, mv=be²p, nv=gp, ov=abc⁸, pv=c⁸, qv=abc⁸, rv=c⁸, sv=abc⁸, tv=c⁸, uv=abc⁸, v²=c⁸, b²w=w, cw=abcv, dw=aw, e²w=aet, efw=bet, f²w=bft, gw=et, hw=ft, iw=et, jw=abgs, kw=bf²t, lw=abgp, mw=ae²p, nw=abgp, ow=c⁸, pw=abc⁸, qw=c⁸, rw=abc⁸, sw=c⁸, tw=abc⁸, uw=c⁸, vw=abc⁸, w²=c⁸, b²x=x, cx=cv, dx=ax, e²x=aeu, efx=acu, f²x=bfu, gx=eu, hx=fu, ix=eu, jx=er, kx=fr, lx=ae²r, mx=hr, nx=ae²r, ox=abc⁸, px=c⁸, qx=abc⁸, rx=c⁸, sx=abc⁸, tx=c⁸, ux=abc⁸, vx=c⁸, wx=abc⁸, x²=c⁸, b²y=y, c²y=bcv, dy=ay, cey=acv, e²y=aev, fy=abey, gy=abew, hy=abev, iy=abew, jy=abet, ky=abes, ly=gs, my=be²s, ny=gs, oy=gp, py=be²p, qy=gp, ry=abc⁸, sy=c⁸, ty=abc⁸, uy=c⁸, vy=abc⁸, wy=c⁸, xy=abc⁸, y²=c⁸, b²z=z, cz=abcy, dz=az, e²z=aew, fz=bw, gz=ew, hz=fw, iz=ew, jz=et, kz=ft, lz=abgs, mz=bf²t, nz=abgs, oz=abgp, pz=ae²p, qz=abgp, rz=c⁸, sz=abc⁸, tz=c⁸, uz=abc⁸, vz=c⁸, wz=abc⁸, xz=c⁸, yz=abc⁸, z²=c⁸, 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=abc⁸, sA=c⁸, tA=abc⁸, uA=c⁸, vA=abc⁸, wA=c⁸, xA=abc⁸, yA=c⁸, zA=abc⁸, A²=c⁸, b²B=B, c²B=bcy, dB=aB, eB=ay, fB=by, gB=abez, hB=abey, iB=abez, jB=abew, kB=abev, lB=abet, mB=abes, nB=abet, oB=gs, pB=be²s, qB=gs, rB=gp, sB=be²p, tB=gp, uB=abc⁸, vB=c⁸, wB=abc⁸, xB=c⁸, yB=abc⁸, zB=c⁸, AB=abc⁸, B²=c⁸>

P = {a, b², abc, c², ac³, c⁴, ac⁵, c⁶, ac⁷, c⁸, e², be³, e⁴, be⁵, e⁶, aef, abe³f, ae⁴f, abe⁵f, f², af³, f⁴, af⁵, aeg, abe³g, ae⁴g, fg, e²fg, be³fg, 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, bc²r, er, abhr, cs, ac²s, abes, gs, et, abft, au, cu, abeu, fu, af²u, abcv, ev, aw, abew, fw, bx, ex, abfx, ay, cy, abey, bz, ez, aA, abeA, fA, bB, abcB}

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 B

Monoid Structure