Details Page for 0.335

Complete Solution is Known:

MSV File: q-0.335.msv

Growth Pattern:

(Click on a heap to see details)

Details for Q₂₉(0.335):

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 | a²=1, b³=b, b²c=c, c⁵=ac⁴, b²d=d, c³d=abc⁴, d³=abcd², b²e=e, c³e=abc³, de=abce, e²=abe, f=b, b²g=g, c⁴g=abc⁴, d²g=abcdg, cg²=ac²eg, dg²=bc²eg, eg²=abg², g⁵=abc⁴, b²h=h, c³h=ac⁴, d²h=abcdh, g⁴h=c⁴, ch²=ac²h, dh²=acdh, g²h²=abg³h, egh³=abg³h, h⁴=c⁴, b²i=i, c³i=c⁴, c²d²i=c²dgh, cgi=ac²ei, dgi=bc²ei, egi=abgi, g³i=bc⁴, c²dhi=bc²dgh, g²hi=abc²ehi, gh²i=c²ehi, h³i=c²hi, c²i²=c⁴, di²=abci², ei²=abi², gi²=bci², hi²=bc²ehi, i³=ac⁴, b²j=j, c⁴j=bc⁴, dj=abcj, ej=abj, c³gj=bc²ehi, g³j=c²gj, ghj=abg²j, h²j=achj, c²ij=ac²ehi, g²ij=ac²ehi, hij=abgij, i²j=c²ehi, cj²=abc²hj, g²j²=bc²ehi, hj²=bc²hj, gij²=bc⁴, j³=bc⁴, b²k=k, c²k=gj², dk=abck, ek=abk, cgk=bgj², g³k=c⁴, g²hk=ac²ehi, h²k=achk, cik=bij², gik=ci², hik=c²ehi, i²k=abc⁴, g²jk=ac⁴, hjk=abgjk, ijk=c⁴, j²k=bci², ck²=ac⁴, gk²=bci², hk²=c⁴, ik²=ac⁴, jk²=bc⁴, k³=abc⁴, b²l=l, c²l=abc³j, dl=abcl, el=abl, cgl=agj², g²l=abgj², hl=j², cil=aij², gil=abij², i²l=c⁴, jl=c²hj, ckl=abci², gkl=aci², ikl=bc⁴, k²l=c⁴, l²=c⁴, b²m=m, c³m=c⁴, dm=abcm, em=abm, cgm=bc²m, g³m=bc⁴, hm=bhk, cim=ci², gim=bci², i²m=ac⁴, cjm=bcjk, gjm=bgjk, ijm=bc⁴, j²m=ci², ckm=bci², gkm=ci², ikm=abc⁴, jkm=c⁴, k²m=ac⁴, lm=bkl, cm²=ci², gm²=bci², im²=ac⁴, jm²=bc⁴, km²=abc⁴, m³=ac⁴, b²n=n, c²n=c²j, dn=abcn, en=abn, g⁴n=bc⁴, chn=chj, ghn=abg²n, h³n=c²ehi, cin=cij, gin=ag³n, hin=bg³n, i²n=bc⁴, jn=bh²n, ckn=cjk, gkn=bc⁴, hkn=ac⁴, ikn=c⁴, k²n=bc⁴, ln=c²ehi, gmn=c⁴, imn=bc⁴, kmn=c⁴, m²n=bc⁴, n²=c⁴, b²o=o, co=bcm, do=acm, eo=abo, g²o=bg²m, gho=ghk, h²o=achk, io=bim, jo=bjm, ko=bkm, lo=kl, mo=bm², no=bmn, o²=m², b²p=p, cp=cl, dp=abcl, ep=abp, g³p=abc⁴, ghp=abg²p, h²p=bc²ehi, gip=abci², hip=ci², i²p=c⁴, jp=c²ehi, gkp=aci², hkp=bci², ikp=bc⁴, k²p=c⁴, lp=c⁴, mp=bkp, np=bc⁴, op=kp, p²=c⁴, b²q=q, c²q=bgj², dq=abcq, eq=abq, cgq=acij, g³q=bc⁴, g²hq=abc²ehi, h²q=achq, ciq=ij², giq=bci², hiq=bc²ehi, i²q=ac⁴, jq=jm, kq=bk², lq=bkl, mq=bkm, cnq=cmn, gnq=c⁴, hnq=abc⁴, inq=bc⁴, oq=km, pq=bkp, q²=k², b²r=r, c²r=c²j, dr=abcr, er=abr, g⁴r=bc⁴, cghr=gij, g²hr=abg³r, gh²r=g³r, h³r=c²ehi, chir=gjk, ghir=abg²ir, h²ir=g²ir, i²r=bc⁴, cjr=abc²hj, gjr=bg³n, hjr=bc²ehi, ijr=ac⁴, j²r=bc⁴, g²kr=bg²ir, chkr=abg²ir, ghkr=ag²ir, ikr=c⁴, jkr=abc⁴, k²r=bc⁴, lr=c²ehi, gmr=bgkr, imr=bc⁴, jmr=ac⁴, kmr=c⁴, m²r=bc⁴, nr=c⁴, or=bmr, pr=bc⁴, qr=mr, r²=c⁴, b²s=s, c²s=bij², d²s=abcds, cegs=abij², g³s=c⁴, chs=ag²s, dghs=acdgs, g²hs=abc⁴, h²s=g²s, cis=bci², gis=ci², his=bc⁴, i²s=abc⁴, cjs=bcmn, gjs=ag²ir, hjs=bg²ir, ijs=c⁴, j²s=bci², cks=ac⁴, gks=bci², hks=c⁴, iks=ac⁴, jks=bc⁴, k²s=abc⁴, cls=abci², gls=aci², ils=bc⁴, kls=c⁴, cms=bci², gms=ci², ims=abc⁴, jms=c⁴, kms=ac⁴, m²s=abc⁴, cns=bcmn, gns=bc⁴, hns=ac⁴, ins=c⁴, kns=bc⁴, mns=c⁴, os=bms, ps=ls, qs=bks, rs=bmr, s²=c⁴, b²t=t, ct=cl, dt=abcl, et=abt, g²t=ac²gj, ht=j², git=c²ehi, i²t=c⁴, jt=c²hj, gkt=c⁴, ikt=bc⁴, k²t=c⁴, lt=c⁴, gmt=bc⁴, imt=c⁴, kmt=bc⁴, m²t=c⁴, nt=bc⁴, ot=bmt, pt=c⁴, gqt=bc⁴, iqt=c⁴, rt=bc⁴, st=bmt, t²=c⁴, b²u=u, c³u=c⁴, d²u=abcdu, c²dgu=abcdgs, cegu=bc²eu, g³u=bc⁴, chu=ac²u, dhu=acdu, ehu=abegu, g²hu=ac⁴, gh²u=c²gu, h³u=ac⁴, c²iu=c⁴, cdiu=cdgs, ceiu=ag²ir, giu=g²ir, hiu=aciu, i²u=ac⁴, c²ju=g²ir, gju=bcju, hju=acju, iju=ag²ir, j²u=bg²ir, ku=cju, clu=abg²ir, glu=ag²ir, ilu=c⁴, mu=bcju, cnu=cju, g²nu=abc⁴, hnu=abgnu, inu=bc⁴, ou=cju, pu=lu, qu=bcju, cru=cju, gru=bcju, hru=acju, iru=ag²ir, jru=bg²ir, su=ag²ir, gtu=ag²ir, itu=c⁴, u²=c⁴, b²v=v, c³v=abc⁴, dv=abcv, ev=abv, c²gv=bg²ir, g³v=bg²ir, c²hv=c²ehi, cghv=bgjk, g²hv=c²ehi, h²v=achv, c²iv=g²ir, g²iv=g²ir, chiv=ag²ir, ghiv=c⁴, ci²v=g²ir, c²jv=c⁴, cgjv=ag²ir, g²jv=c⁴, hjv=bc²ehi, cijv=abg²ir, gijv=bc⁴, gj²v=bg²ir, ij²v=g²ir, gkv=bgiv, chkv=abg²ir, cjkv=ag²ir, clv=aj²v, ilv=bhkr, klv=hkr, cmv=civ, gmv=giv, imv=i²v, jmv=ijv, kmv=ikv, m²v=i²v, cnv=abj²v, gnv=abgnu, hnv=c⁴, inv=agnu, mnv=agnu, ov=bmv, gpv=glv, hpv=j²v, ipv=bhkr, kpv=hkr, cqv=bckv, gqv=giv, hqv=bhkv, iqv=bikv, nqv=bknv, rv=bk²v, csv=ckv, g²sv=bg²ir, hsv=hkv, isv=ikv, jsv=jkv, ksv=k²v, lsv=hkr, msv=ikv, nsv=knv, itv=bgtv, mtv=bgtv, qtv=bktv, cuv=ag²ir, guv=abg²ir, huv=g²ir, iuv=bc⁴, juv=bg²ir, luv=g²ir, nuv=ac⁴, tuv=g²ir, v²=c⁴, b²w=w, c³w=bc⁴, c²dw=ac⁴, c²ew=abc²w, g⁴w=abc⁴, c²hw=abc⁴, cdghw=cdgs, ceghw=c²eu, g³hw=c⁴, egh²w=g²hw, h³w=abc⁴, c²iw=bc⁴, d²iw=abcdgu, g²iw=bc⁴, chiw=bciu, dhiw=bdiu, ghiw=bg²ir, h²iw=abciu, i²w=abc⁴, c²jw=abk²v, cgjw=acju, g²jw=abcju, ijw=bcju, j²w=abchjw, ckw=abcju, gkw=bgtv, hkw=bcju, ikw=ac⁴, jkw=ag²ir, k²w=abc⁴, clw=k²v, glw=ahkr, ilw=ag²ir, klw=c⁴, cmw=acmr, gmw=abcmr, imw=abc⁴, jmw=abg²ir, kmw=ac⁴, m²w=abc⁴, cnw=cjw, gnw=anu, h²nw=bg²ir, inw=gnu, knw=bc⁴, mnw=c⁴, ow=bmw, gpw=gnu, hpw=g²ir, ipw=bc⁴, kpw=c⁴, qw=bkw, rw=nw, sw=bcju, tw=abcjw, uw=ag²ir, cvw=bcmr, gvw=cmr, hvw=abcju, ivw=c⁴, jvw=g²ir, kvw=bc⁴, lvw=ac⁴, mvw=c⁴, nvw=abc⁴, pvw=ac⁴, w²=c⁴, b²x=x, c²x=c⁴, dx=abcx, ex=abx, gx=bcx, chx=abc²ehi, h²x=bc²ehi, ix=ac⁴, jx=c²ehi, kx=abc⁴, lx=c⁴, mx=ac⁴, nx=bc⁴, ox=abc⁴, px=c⁴, qx=ac⁴, rx=bc⁴, sx=abc⁴, tx=c⁴, ux=ac⁴, vx=bc⁴, cwx=bc⁴, hwx=g²ir, x²=c⁴, b²y=y, c³y=abc²w, c²dy=abcdw, cd²y=abd²w, c²gy=abcgw, g³y=ag²w, c²hy=abchw, cdhy=abdhw, g²hy=beghw, h²y=bhw, c²iy=abciw, cdiy=abdiw, giy=beiw, i²y=giw, c²jy=abcjw, g²jy=agjw, chjy=abhjw, ijy=gjw, j²y=hjw, cky=bcgjy, gky=akw, hky=gjw, iky=bgtv, jky=bcju, k²y=ac⁴, ly=jw, cmy=abmw, gmy=amw, imy=abcmr, jmy=cju, kmy=abc⁴, m²y=ac⁴, cgny=abgjw, g²ny=nu, iny=anu, kny=gnu, mny=bc⁴, oy=bmy, py=nw, cqy=abgjw, gqy=abkw, hqy=bgjw, iqy=gtv, nqy=bc⁴, ry=ny, sy=gjw, ty=abcny, uy=bcju, c²vy=wx, gvy=avw, hvy=agjw, ivy=cmr, jvy=abcju, kvy=c⁴, mvy=bc⁴, nvy=ac⁴, qvy=bc⁴, wy=ag²ir, cxy=abwx, hxy=hkr, y²=c⁴>

P = {a, b², bc, c², ac³, c⁴, ad, abcd, bc²d, d², acd², c²d², abe, ace, abc²e, abc²g, bc³g, cdg, ac²dg, c²eg, g², abg³, g⁴, h, ach, c²h, bdh, abcdh, bc²dh, abeh, bceh, abc²eh, abgh, bcgh, abc²gh, adgh, cdgh, ac²dgh, egh, acegh, c²egh, g²h, abg³h, h², abeh², abgh², egh², h³, abeh³, abgh³, abi, ac²i, bcdi, abc²di, ad²i, cd²i, ei, bc²ei, ag²i, chi, ac²hi, abdhi, bcdhi, abcehi, bc²ehi, bghi, ah²i, beh²i, i², aci², aj, cj, bc²j, abc³j, bgj, ac²gj, ahj, abchj, bc²hj, j², abgj², aij², gk, abg²k, abhk, bchk, ghk, bik, k², l, acl, abgl, ail, abkl, ac²m, bgm, ag²m, im, bkm, m², bn, cn, bg²n, ag³n, bhn, bh²n, akn, ao, p, abgp, g²p, hp, aip, abkp, abq, gq, abhq, abnq, ar, cr, bgr, ag²r, ahr, chr, bghr, ah²r, jr, bs, cds, aes, acgs, dgs, abg²s, adhs, ghs, abeghs, t, abgt, ait, abkt, amt, aqt, abu, bcu, adu, abc²du, eu, aceu, gu, bc²gu, bdgu, abcdgu, abegu, abhu, biu, diu, aeiu, aju, cju, ablu, anu, atu, bv, cv, ac²v, abcgv, ag²v, bhv, chv, aciv, abgiv, jv, bcjv, aj²v, ikv, abjkv, bk²v, alv, bglv, nv, abknv, apv, btv, aktv, aw, abc²w, cdw, abd²w, bcd²w, bew, bgw, c²gw, aegw, g³w, ahw, cdhw, behw, bghw, dghw, aeghw, iw, acdiw, abeiw, hiw, abehiw, abjw, gjw, abhjw, bkw, mw, abnw, abhnw, acx, hx, abwx, aby, bcy, ady, ey, acey, gy, acgy, bdgy, abcdgy, abegy, bcegy, abg²y, abhy, bchy, adhy, ehy, acehy, ghy, acghy, bdghy, abeghy, bceghy, biy, abciy, diy, bd²iy, aeiy, ceiy, bhiy, abchiy, dhiy, aehiy, cehiy, ajy, cjy, bgjy, abcgjy, ahjy, ky, bmy, any, cny, bgny, ahny, bqy, axy}

Phi = 1 a b ab b² c d e b² be b g h i j k l m n o p q r s t u v w x y

Monoid Structure