Details Page for 0.3551

Complete Solution is Known:

MSV File: q-0.3551.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₄(0.3551):

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, b²⁴=b²², bc=ab³, c²=b⁴, bd=ab⁵, cd=b⁶, d²=b⁸, be=ab⁷, ce=b⁸, de=b¹⁰, e²=b¹², bf=ab⁹, cf=b¹⁰, df=b¹², ef=b¹⁴, f²=b¹⁶, b²g=b¹¹, cg=ab¹¹, dg=ab¹³, eg=ab¹⁵, fg=ab¹⁷, g²=b¹⁸, b³h=ab¹³, ch=ab²h, dh=b¹⁴, eh=b¹⁶, fh=b¹⁸, gh=ab¹⁹, h²=b²⁰, b⁴i=b¹⁵, ci=ab²i, di=ab¹⁵, ei=ab¹⁷, fi=ab¹⁹, gi=b²⁰, hi=ab²¹, i²=b²², b⁵j=ab¹⁷, cj=ab²j, dj=ab⁴j, ej=b¹⁸, fj=b²⁰, gj=ab²¹, hj=b²², ij=ab²³, j²=b²², b⁶k=b¹⁹, ck=ab²k, dk=ab⁴k, ek=ab¹⁹, fk=ab²¹, gk=b²², hk=ab²³, ik=b²², jk=ab²³, k²=b²², b⁷l=ab²¹, cl=ab²l, dl=ab⁴l, el=ab⁶l, fl=b²², gl=ab²³, hl=b²², il=ab²³, jl=b²², kl=ab²³, l²=b²², b⁸m=b²³, cm=ab²m, dm=ab⁴m, em=ab⁶m, fm=ab²³, gm=b²², hm=ab²³, im=b²², jm=ab²³, km=b²², lm=ab²³, m²=b²², b⁸n=ab⁷m, cn=ab²n, dn=ab⁴n, en=ab⁶n, fn=b⁷m, gn=ab²³, hn=b²², in=ab²³, jn=b²², kn=ab²³, ln=b²², mn=ab²³, n²=b²², b⁷o=ab⁶n, co=ab²o, do=ab⁴o, eo=ab⁶o, fo=b⁷n, go=b⁷m, ho=ab²³, io=b²², jo=ab²³, ko=b²², lo=ab²³, mo=b²², no=ab²³, o²=b²², b⁶p=ab⁵o, cp=ab²p, dp=ab⁴p, ep=b⁵o, fp=ab⁶n, gp=b⁷n, hp=b⁷m, ip=ab²³, jp=b²², kp=ab²³, lp=b²², mp=ab²³, np=b²², op=ab²³, p²=b²², b⁵q=ab⁴p, cq=ab²q, dq=ab⁴q, eq=b⁵p, fq=ab⁶o, gq=ab⁶n, hq=b⁷n, iq=b⁷m, jq=ab²³, kq=b²², lq=ab²³, mq=b²², nq=ab²³, oq=b²², pq=ab²³, q²=b²², b⁴r=ab³q, cr=ab²r, dr=b³q, er=ab⁴p, fr=b⁵o, gr=ab⁶o, hr=ab⁶n, ir=b⁷n, jr=b⁷m, kr=ab²³, lr=b²², mr=ab²³, nr=b²², or=ab²³, pr=b²², qr=ab²³, r²=b²², b³s=ab²r, cs=ab²s, ds=b³r, es=ab⁴q, fs=b⁵p, gs=b⁵o, hs=ab⁶o, is=ab⁶n, js=b⁷n, ks=b⁷m, ls=ab²³, ms=b²², ns=ab²³, os=b²², ps=ab²³, qs=b²², rs=ab²³, s²=b²², b²t=abs, ct=bs, dt=ab²r, et=b³q, ft=ab⁴p, gt=b⁵p, ht=b⁵o, it=ab⁶o, jt=ab⁶n, kt=b⁷n, lt=b⁷m, mt=ab²³, nt=b²², ot=ab²³, pt=b²², qt=ab²³, rt=b²², st=ab²³, t²=b²², bu=at, cu=bt, du=ab²s, eu=b³r, fu=ab⁴q, gu=ab⁴p, hu=b⁵p, iu=b⁵o, ju=ab⁶o, ku=ab⁶n, lu=b⁷n, mu=b⁷m, nu=ab²³, ou=b²², pu=ab²³, qu=b²², ru=ab²³, su=b²², tu=ab²³, u²=b²², bv=au, cv=at, dv=bs, ev=ab²r, fv=b³q, gv=ab⁴q, hv=ab⁴p, iv=b⁵p, jv=b⁵o, kv=ab⁶o, lv=ab⁶n, mv=b⁷n, nv=b⁷m, ov=ab²³, pv=b²², qv=ab²³, rv=b²², sv=ab²³, tv=b²², uv=ab²³, v²=b²², bw=av, cw=au, dw=bt, ew=ab²s, fw=b³r, gw=b³q, hw=ab⁴q, iw=ab⁴p, jw=b⁵p, kw=b⁵o, lw=ab⁶o, mw=ab⁶n, nw=b⁷n, ow=b⁷m, pw=ab²³, qw=b²², rw=ab²³, sw=b²², tw=ab²³, uw=b²², vw=ab²³, w²=b²², bx=aw, cx=av, dx=at, ex=bs, fx=ab²r, gx=b³r, hx=b³q, ix=ab⁴q, jx=ab⁴p, kx=b⁵p, lx=b⁵o, mx=ab⁶o, nx=ab⁶n, ox=b⁷n, px=b⁷m, qx=ab²³, rx=b²², sx=ab²³, tx=b²², ux=ab²³, vx=b²², wx=ab²³, x²=b²², by=ax, cy=aw, dy=au, ey=bt, fy=ab²s, gy=ab²r, hy=b³r, iy=b³q, jy=ab⁴q, ky=ab⁴p, ly=b⁵p, my=b⁵o, ny=ab⁶o, oy=ab⁶n, py=b⁷n, qy=b⁷m, ry=ab²³, sy=b²², ty=ab²³, uy=b²², vy=ab²³, wy=b²², xy=ab²³, y²=b²², bz=ay, cz=ax, dz=av, ez=at, fz=bs, gz=ab²s, hz=ab²r, iz=b³r, jz=b³q, kz=ab⁴q, lz=ab⁴p, mz=b⁵p, nz=b⁵o, oz=ab⁶o, pz=ab⁶n, qz=b⁷n, rz=b⁷m, sz=ab²³, tz=b²², uz=ab²³, vz=b²², wz=ab²³, xz=b²², yz=ab²³, z²=b²², bA=az, cA=ay, dA=aw, eA=au, fA=bt, gA=bs, hA=ab²s, iA=ab²r, jA=b³r, kA=b³q, lA=ab⁴q, mA=ab⁴p, nA=b⁵p, oA=b⁵o, pA=ab⁶o, qA=ab⁶n, rA=b⁷n, sA=b⁷m, tA=ab²³, uA=b²², vA=ab²³, wA=b²², xA=ab²³, yA=b²², zA=ab²³, A²=b²²>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², ag, bh, ai, ab²i, bj, b³j, ak, ab²k, ab⁴k, bl, b³l, b⁵l, am, ab²m, ab⁴m, ab⁶m, bn, b³n, b⁵n, b⁷n, ao, ab²o, ab⁴o, ab⁶o, bp, b³p, b⁵p, aq, ab²q, ab⁴q, br, b³r, as, ab²s, bt, au, aw, ay, aA}

Phi = 1 a b a b a b c b³ d b⁵ e b⁷ f g h i j k l m n o p q r s t u v w x y z A

Monoid Structure