Details Page for 0.1421

Complete Solution is Known:

MSV File: q-0.1421.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₃₂(0.1421):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r | a²=1, b⁵=b³, bc=b⁴, c²=b⁴, d²=1, e=bd, b²f=ab³, cf=ab⁴, f²=b⁴, b²g=b³, cg=b⁴, fg=bf, g²=b⁴, bh=abg, ch=ab⁴, fh=b⁴, gh=abg, h²=bg, i=b², j=abg, b²k=b³d, bfk=ab³d, gk=b⁴d, hk=ack, ck²=c, k³=k, l=b³, b³m=b³d, cm=b³d, km=bk², m²=b⁴, n=bg, bo=h, co=ac, fo=afk², ho=ah, go²=ago, ko²=ako, o³=ao², bp=ab³, cp=ab³, fp=b³, gp=ab³, hp=b³, kp=ab³d, op=abf, p²=b⁴, b³q=ab³d, cq=ab³d, fq=b³d, bkq=ab⁴, mq=ab⁴, koq=afk², o²q=aoq, pq=abfm, q²=b⁴, b²r=ab³, cr=ab⁴, fr=b⁴, gr=br, hr=b⁴, kr=ab⁴d, mr=ab³d, or=b³, pr=b³, qr=afm, r²=b⁴>

P = {a, b², b⁴, ad, abf, bg, adk, acdk, ak², adk², bdm, adfm, abdgm, o, do, k²o, dk²o, dmo, ao², ado², admo², ap, dmp, adq, ab²dq, adk²q, abr}

Phi = 1 a 1 1 b b b a a b² ab ab c d ab² b⁴ bd f g h bf b² abg k ah b³ m bg o p q h r

Monoid Structure