Details Page for 0.3571

Complete Solution is Known:

MSV File: q-0.3571.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₇₇(0.3571):

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 | a²=1, b²⁵=b²³, bc=ab³, c²=b⁴, b²d=b⁵, cd=ab⁵, d²=b⁶, b³e=ab⁷, ce=ab²e, de=ab⁷, e²=b⁸, b⁴f=b⁹, cf=ab²f, df=b³f, ef=ab⁹, f²=b¹⁰, b⁵g=ab¹¹, cg=ab²g, dg=b³g, eg=ab⁴g, fg=ab¹¹, g²=b¹², b⁶h=b¹³, ch=ab²h, dh=b³h, eh=ab⁴h, fh=b⁵h, gh=ab¹³, h²=b¹⁴, b⁷i=ab¹⁵, ci=ab²i, di=b³i, ei=ab⁴i, fi=b⁵i, gi=ab⁶i, hi=ab¹⁵, i²=b¹⁶, b⁸j=b¹⁷, cj=ab²j, dj=b³j, ej=ab⁴j, fj=b⁵j, gj=ab⁶j, hj=b⁷j, ij=ab¹⁷, j²=b¹⁸, b⁹k=ab¹⁹, ck=ab²k, dk=b³k, ek=ab⁴k, fk=b⁵k, gk=ab⁶k, hk=b⁷k, ik=ab⁸k, jk=ab¹⁹, k²=b²⁰, b¹⁰l=b²¹, cl=ab²l, dl=b³l, el=ab⁴l, fl=b⁵l, gl=ab⁶l, hl=b⁷l, il=ab⁸l, jl=b⁹l, kl=ab²¹, l²=b²², b¹¹m=ab²³, cm=ab²m, dm=b³m, em=ab⁴m, fm=b⁵m, gm=ab⁶m, hm=b⁷m, im=ab⁸m, jm=b⁹m, km=ab¹⁰m, lm=ab²³, m²=b²⁴, b¹²n=b²³, cn=ab²n, dn=b³n, en=ab⁴n, fn=b⁵n, gn=ab⁶n, hn=b⁷n, in=ab⁸n, jn=b⁹n, kn=ab¹⁰n, ln=b¹¹n, mn=ab²³, n²=b²⁴, b¹¹o=ab¹⁰n, co=ab²o, do=b³o, eo=ab⁴o, fo=b⁵o, go=ab⁶o, ho=b⁷o, io=ab⁸o, jo=b⁹o, ko=ab¹⁰o, lo=ab¹⁰n, mo=b¹¹n, no=ab²³, o²=b²⁴, b¹⁰p=ab⁹o, cp=ab²p, dp=b³p, ep=ab⁴p, fp=b⁵p, gp=ab⁶p, hp=b⁷p, ip=ab⁸p, jp=b⁹p, kp=b⁹o, lp=ab¹⁰o, mp=ab¹⁰n, np=b¹¹n, op=ab²³, p²=b²⁴, b⁹q=ab⁸p, cq=ab²q, dq=b³q, eq=ab⁴q, fq=b⁵q, gq=ab⁶q, hq=b⁷q, iq=ab⁸q, jq=ab⁸p, kq=b⁹p, lq=b⁹o, mq=ab¹⁰o, nq=ab¹⁰n, oq=b¹¹n, pq=ab²³, q²=b²⁴, b⁸r=ab⁷q, cr=ab²r, dr=b³r, er=ab⁴r, fr=b⁵r, gr=ab⁶r, hr=b⁷r, ir=b⁷q, jr=ab⁸q, kr=ab⁸p, lr=b⁹p, mr=b⁹o, nr=ab¹⁰o, or=ab¹⁰n, pr=b¹¹n, qr=ab²³, r²=b²⁴, b⁷s=ab⁶r, cs=ab²s, ds=b³s, es=ab⁴s, fs=b⁵s, gs=ab⁶s, hs=ab⁶r, is=b⁷r, js=b⁷q, ks=ab⁸q, ls=ab⁸p, ms=b⁹p, ns=b⁹o, os=ab¹⁰o, ps=ab¹⁰n, qs=b¹¹n, rs=ab²³, s²=b²⁴, b⁶t=ab⁵s, ct=ab²t, dt=b³t, et=ab⁴t, ft=b⁵t, gt=b⁵s, ht=ab⁶s, it=ab⁶r, jt=b⁷r, kt=b⁷q, lt=ab⁸q, mt=ab⁸p, nt=b⁹p, ot=b⁹o, pt=ab¹⁰o, qt=ab¹⁰n, rt=b¹¹n, st=ab²³, t²=b²⁴, b⁵u=ab⁴t, cu=ab²u, du=b³u, eu=ab⁴u, fu=ab⁴t, gu=b⁵t, hu=b⁵s, iu=ab⁶s, ju=ab⁶r, ku=b⁷r, lu=b⁷q, mu=ab⁸q, nu=ab⁸p, ou=b⁹p, pu=b⁹o, qu=ab¹⁰o, ru=ab¹⁰n, su=b¹¹n, tu=ab²³, u²=b²⁴, b⁴v=ab³u, cv=ab²v, dv=b³v, ev=b³u, fv=ab⁴u, gv=ab⁴t, hv=b⁵t, iv=b⁵s, jv=ab⁶s, kv=ab⁶r, lv=b⁷r, mv=b⁷q, nv=ab⁸q, ov=ab⁸p, pv=b⁹p, qv=b⁹o, rv=ab¹⁰o, sv=ab¹⁰n, tv=b¹¹n, uv=ab²³, v²=b²⁴, b³w=ab²v, cw=ab²w, dw=ab²v, ew=b³v, fw=b³u, gw=ab⁴u, hw=ab⁴t, iw=b⁵t, jw=b⁵s, kw=ab⁶s, lw=ab⁶r, mw=b⁷r, nw=b⁷q, ow=ab⁸q, pw=ab⁸p, qw=b⁹p, rw=b⁹o, sw=ab¹⁰o, tw=ab¹⁰n, uw=b¹¹n, vw=ab²³, w²=b²⁴, b²x=abw, cx=bw, dx=ab²w, ex=ab²v, fx=b³v, gx=b³u, hx=ab⁴u, ix=ab⁴t, jx=b⁵t, kx=b⁵s, lx=ab⁶s, mx=ab⁶r, nx=b⁷r, ox=b⁷q, px=ab⁸q, qx=ab⁸p, rx=b⁹p, sx=b⁹o, tx=ab¹⁰o, ux=ab¹⁰n, vx=b¹¹n, wx=ab²³, x²=b²⁴, by=ax, cy=bx, dy=bw, ey=ab²w, fy=ab²v, gy=b³v, hy=b³u, iy=ab⁴u, jy=ab⁴t, ky=b⁵t, ly=b⁵s, my=ab⁶s, ny=ab⁶r, oy=b⁷r, py=b⁷q, qy=ab⁸q, ry=ab⁸p, sy=b⁹p, ty=b⁹o, uy=ab¹⁰o, vy=ab¹⁰n, wy=b¹¹n, xy=ab²³, y²=b²⁴, z=y>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, b¹⁸, b²⁰, b²², b²⁴, ad, be, af, ab²f, bg, b³g, ah, ab²h, ab⁴h, bi, b³i, b⁵i, aj, ab²j, ab⁴j, ab⁶j, bk, b³k, b⁵k, b⁷k, al, ab²l, ab⁴l, ab⁶l, ab⁸l, bm, b³m, b⁵m, b⁷m, b⁹m, an, ab²n, ab⁴n, ab⁶n, ab⁸n, ab¹⁰n, bo, b³o, b⁵o, b⁷o, b⁹o, ap, ab²p, ab⁴p, ab⁶p, ab⁸p, bq, b³q, b⁵q, b⁷q, ar, ab²r, ab⁴r, ab⁶r, bs, b³s, b⁵s, at, ab²t, ab⁴t, bu, b³u, av, ab²v, bw, ax}

Phi = 1 a b a b a b c b c b³ c b³ abd d abd abe e abe abf f abf abg g abg abh h abh abi i abi abj j abj abk k abk abl l abl abm m abm abn n abn abo o abo abp p abp abq q abq abr r abr abs s abs abt t abt abu u abu abv v abv abw w abw abx x abx x y x y

Monoid Structure