Details Page for 0.3105

Complete Solution is Known:

MSV File: q-0.3105.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₁₉(0.3105):

Q = <a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p | a²=1, b³=b, b²c=c, c⁴=c³, b²d=d, c³d=c²d, cd²=d², d³=ad², b²e=e, c³e=bc³, c²de=bc²d, d²e=bd², ce²=c, e³=e, b²f=f, c²df=cdf, d²f=ad², cdef=bcdf, e²f=f, c²f²=d², df²=ad², cf³=ad², f⁴=d², b²g=g, cg=bc³, dg=bc²d, e²g=g, f²g=bd², g²=c³, b²h=h, ch=bc²d, dh=bd², fh=bcdf, gh=c²d, h²=d², b²i=i, ci=bd², d²i=bd², f²i=aef³, gi=d², ehi=abd², di²=hi, ei²=bd², fi²=ad², hi²=bhi, i³=bi², b²j=j, c³j=c²j, c²dj=cdj, d²j=d², c²ej=bc²j, cdej=bcdj, e²j=j, f²j=cf², gj=bc²j, hj=bcdj, ij=bd², cj²=d², dfj²=bdfi, j³=d², b²k=k, dk=d², hk=bd², i²k=hi, fj²k=f³k, k²=d², b²l=l, c³l=c³, dl=c²d, e²l=l, c²fl=bfg, f²l=d², gl=bc³, hl=bc²d, il=bd², c²jl=c²j, j²l=d², l²=bc²el, b²m=m, c³m=c²m, cdm=dm, c²em=bc²m, dem=bdm, c²fm=cfm, dfm=d²m, cefm=bcfm, f²m=d²m, gm=bc²m, hm=bdm, dim=abd²m, c²jm=cjm, cejm=bcjm, dj²m=ad²m, fj²m=bfim, e²km=km, cfkm=d²m, ikm=abd²m, fjkm=d²m, j²km=ad²m, c²lm=c²m, flm=cfm, cjlm=cjm, m²=d², b²n=n, d²n=ad²m, dfin=abd²m, hin=i²m, cdfjn=dfjn, defjn=bdfjn, dj²n=d²m, fj²n=f³n, f³kn=adein, dmn=d², fmn=cdf, eimn=af³k, i²mn=hi, j²mn=ad², kmn=d², lmn=c²mn, dn²=mn, f²n²=f², i²n²=i², cfkn²=cfk, fgkn²=fgk, fikn²=fik, fjkn²=fjk, j²kn²=j²k, fkln²=fkl, cmn²=cdn, imn²=din, jmn²=djn, cn³=cn, gn³=gn, hn³=hn, fin³=fin, fjn³=fjn, fkn³=fkn, ikn³=ikn, jkn³=jkn, ln³=ln, mn³=mn, n⁴=n², b²o=o, c²o=bc²j, d²o=bd², e²o=o, dfo=bdfj, cf²o=aef³, f³o=abd², go=c²j, ho=cdj, io=d², cjo=bd², djo=de²i, j²o=bd², jko=e²ikn², lo=bjl, dmo=bdjm, cfmo=bcfjm, jmo=e²im, ckmo=bcjkm, jno=e²in, mn²o=dno, fn³o=fno, kn³o=kno, o²=be²i, b²p=p, dp=df, e²p=p, c²fp=cfp, cefp=bcfp, f²p=f³, fgp=bcfp, hp=bcdf, fip=bd², i²p=ad², cfjp=fjp, efjp=bfjp, fj²p=d², cfkp=acdf, ikp=bdefi, fjkp=acdfj, j²kp=d², flp=cfp, c²klp=bgkp, c²mp=cmp, cemp=bcmp, fmp=d²m, imp=fim, j²mp=bfim, kmp=adm, lmp=cmp, inp=bd²m, j²np=d²m, mnp=cdf, fn²p=fp, jn³p=jnp, fop=bfjp, ckop=bcjkp, mop=bjmp, n³op=nop, p²=d²>

P = {a, b², c, c², c³, bd, acd, ac²d, d², be, bce, bc²e, ade, e², bde², f, acf, ac²f, ac³f, bdf, bcdf, aef, bcef, abc²ef, def, f², cf², bef², bcef², af³, abef³, bg, eg, abfg, aefg, h, aeh, bi, di, ei, adei, be²i, bfi, aefi, defi, bhi, i², j, cj, c²j, adj, acdj, bej, bcej, afj, acfj, ac²fj, bdfj, abcefj, j², adj², bej², abdej², afj², abefj², bk, ack, ac²k, ac³k, aek, abc²ek, be²k, fk, c²fk, c³fk, aefk, cefk, bf²k, acf²k, aef²k, f³k, abgk, efgk, ik, aeik, bfik, ajk, acjk, ac²jk, abcejk, cfjk, c²fjk, efjk, aj²k, abej²k, l, cl, c²l, bel, bcel, bc²el, afl, acfl, abefl, abcefl, jl, cjl, bejl, bcejl, afjl, acfjl, abefjl, abcefjl, akl, ackl, ac²kl, abcekl, abc²ekl, bfkl, bcfkl, efkl, ajkl, acjkl, abejkl, abcejkl, bcefjkl, bm, abcm, dm, aem, be²m, bfm, bcfm, efm, im, abeim, befim, bi²m, abjm, djm, bfjm, bcfjm, efjm, km, bekm, bcekm, abefkm, bejkm, klm, cklm, beklm, jklm, n, cn, c²n, c³n, bdn, ben, bcen, bc²en, e²n, bde²n, fn, cfn, c²fn, c³fn, abdfn, befn, bcefn, bc²efn, bgn, egn, bfgn, efgn, hn, bin, din, be²in, ai²n, jn, cjn, c²jn, bejn, bcejn, fjn, cfjn, c²fjn, befjn, bcefjn, j²n, bkn, be²kn, aefkn, bf²kn, ikn, ln, cln, c²ln, beln, bceln, bc²eln, fln, cfln, befln, bcefln, jln, cjln, bejln, bcejln, fjln, cfjln, befjln, bcefjln, bmn, acmn, ac²mn, aemn, be²mn, imn, ajmn, acjmn, n², cn², c²n², c³n², ben², bcen², bc²en², e²n², fn², acfn², ac²fn², ac³fn², aefn², bcefn², abc²efn², bgn², egn², abfgn², aefgn², hn², aehn², bin², ein², be²in², abfin², aefin², jn², cjn², c²jn², bejn², bcejn², afjn², acfjn², ac²fjn², abcefjn², j²n², bej²n², bkn², ackn², ac²kn², ac³kn², aekn², abc²ekn², be²kn², fkn², aefkn², abgkn², ikn², aeikn², ajkn², acjkn², ac²jkn², abcejkn², ln², cln², c²ln², beln², bceln², bc²eln², afln², acfln², abefln², abcefln², jln², cjln², bejln², bcejln², afjln², acfjln², abefjln², abcefjln², akln², ackln², ac²kln², abcekln², abc²ekln², ajkln², acjkln², abejkln², abcejkln², bmn², be²mn², n³, ben³, e²n³, fn³, befn³, abin³, jn³, bejn³, bkn³, be²kn³, bo, bco, ado, eo, ceo, acdeo, afo, bcfo, efo, acefo, bf²o, ef²o, bjo, ejo, aefjo, ako, aceko, bcfko, efko, af²ko, amo, abemo, abcemo, fmo, befmo, ekmo, abfkmo, bno, bcno, eno, ceno, bfno, bcfno, efno, cefno, amno, acemno, bn²o, bcn²o, en²o, cen²o, bfn²o, bcfn²o, efn²o, acefn²o, akn²o, acekn²o, befkn²o, bn³o, en³o, p, acp, ac²p, ac³p, aep, bcep, abc²ep, fp, cfp, befp, abgp, egp, bip, aeip, ajp, acjp, ac²jp, abcejp, fjp, aj²p, abej²p, kp, c²kp, c³kp, cekp, abfkp, aefkp, egkp, jkp, cjkp, c²jkp, bejkp, alp, aclp, ac²lp, abelp, abcelp, abc²elp, ajlp, acjlp, abejlp, abcejlp, bklp, bcklp, eklp, bcejklp, bmp, bcmp, emp, bjmp, bcjmp, ejmp, np, cnp, c²np, c³np, benp, bcenp, bc²enp, bgnp, egnp, jnp, cjnp, c²jnp, bejnp, bcejnp, aeknp, lnp, clnp, c²lnp, belnp, bcelnp, bc²elnp, jlnp, cjlnp, bejlnp, bcejlnp, n²p, acn²p, ac²n²p, ac³n²p, aen²p, bcen²p, abc²en²p, abgn²p, egn²p, ajn²p, acjn²p, ac²jn²p, abcejn²p, kn²p, c²kn²p, c³kn²p, cekn²p, egkn²p, jkn²p, cjkn²p, c²jkn²p, bejkn²p, aln²p, acln²p, ac²ln²p, abeln²p, abceln²p, abc²eln²p, ajln²p, acjln²p, abejln²p, abcejln²p, bkln²p, bckln²p, ekln²p, bcejkln²p, n³p, ben³p, aop, bcop, eop, aceop, aejop, ekop, bnop, bcnop, enop, cenop, bn²op, bcn²op, en²op, acen²op}

Phi = 1 a b c d d² d b² e f g h i j k l m n o p

Monoid Structure