Details Page for 0.2416

Complete Solution is Known:

MSV File: q-0.2416.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₇₅(0.2416):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a²=1, b¹⁸=b¹⁶, bc=ab³, c²=b⁴, b²d=b⁵, cd=ab⁵, d²=b⁶, b³e=b⁷, ce=ab²e, de=b⁷, e²=b⁸, b⁴f=b⁹, cf=ab²f, df=b³f, ef=b⁹, f²=b¹⁰, b⁵g=b¹¹, cg=ab²g, dg=b³g, eg=b⁴g, fg=b¹¹, g²=b¹², b⁶h=b¹³, ch=ab²h, dh=b³h, eh=b⁴h, fh=b⁵h, gh=b¹³, h²=b¹⁴, b⁷i=b¹⁵, ci=ab²i, di=b³i, ei=b⁴i, fi=b⁵i, gi=b⁶i, hi=b¹⁵, i²=b¹⁶, b⁸j=b¹⁷, cj=ab²j, dj=b³j, ej=b⁴j, fj=b⁵j, gj=b⁶j, hj=b⁷j, ij=b¹⁷, j²=b¹⁶, b⁸k=b⁷j, ck=ab²k, dk=b³k, ek=b⁴k, fk=b⁵k, gk=b⁶k, hk=b⁷k, ik=b⁷j, jk=b¹⁷, k²=b¹⁶, b⁷l=b⁶k, cl=ab²l, dl=b³l, el=b⁴l, fl=b⁵l, gl=b⁶l, hl=b⁶k, il=b⁷k, jl=b⁷j, kl=b¹⁷, l²=b¹⁶, b⁶m=b⁵l, cm=ab²m, dm=b³m, em=b⁴m, fm=b⁵m, gm=b⁵l, hm=b⁶l, im=b⁶k, jm=b⁷k, km=b⁷j, lm=b¹⁷, m²=b¹⁶, b⁵n=b⁴m, cn=ab²n, dn=b³n, en=b⁴n, fn=b⁴m, gn=b⁵m, hn=b⁵l, in=b⁶l, jn=b⁶k, kn=b⁷k, ln=b⁷j, mn=b¹⁷, n²=b¹⁶, b⁴o=b³n, co=ab²o, do=b³o, eo=b³n, fo=b⁴n, go=b⁴m, ho=b⁵m, io=b⁵l, jo=b⁶l, ko=b⁶k, lo=b⁷k, mo=b⁷j, no=b¹⁷, o²=b¹⁶, b³p=b²o, cp=ab²p, dp=b²o, ep=b³o, fp=b³n, gp=b⁴n, hp=b⁴m, ip=b⁵m, jp=b⁵l, kp=b⁶l, lp=b⁶k, mp=b⁷k, np=b⁷j, op=b¹⁷, p²=b¹⁶, b²q=bp, cq=abp, dq=b²p, eq=b²o, fq=b³o, gq=b³n, hq=b⁴n, iq=b⁴m, jq=b⁵m, kq=b⁵l, lq=b⁶l, mq=b⁶k, nq=b⁷k, oq=b⁷j, pq=b¹⁷, q²=b¹⁶, br=q, cr=abq, dr=bp, er=b²p, fr=b²o, gr=b³o, hr=b³n, ir=b⁴n, jr=b⁴m, kr=b⁵m, lr=b⁵l, mr=b⁶l, nr=b⁶k, or=b⁷k, pr=b⁷j, qr=b¹⁷, r²=b¹⁶>

P = {a, b², b⁴, b⁶, b⁸, b¹⁰, b¹², b¹⁴, b¹⁶, d, be, f, b²f, bg, b³g, h, b²h, b⁴h, bi, b³i, b⁵i, j, b²j, b⁴j, b⁶j, bk, b³k, b⁵k, b⁷k, l, b²l, b⁴l, b⁶l, bm, b³m, b⁵m, n, b²n, b⁴n, bo, b³o, p, b²p, bq, r}

Phi = 1 1 a b a b ab 1 ab 1 c b c b ab³ ac ab³ ac abd d abd d ab⁵ e abe e ab⁶ f abf f ab⁷ g abg g ab⁸ h abh h ab⁹ i abi i ab¹⁰ j abj j ab¹¹ k abk k ab¹² l abl l ab¹³ m abm m ab¹⁴ n abn n ab¹⁵ o abo o ab¹⁶ p abp p ab¹⁷ q abq q ab¹⁶ r aq r ab¹⁷

Monoid Structure