Details Page for 0.7361

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   868
P-Portion Size:   143
Tame?   No

MSV File: q-0.7361.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
4102
5184
7306
910417
1015428
1123641
1230852
13852138
14868143

(Click on a heap to see details)

Details for Q14(0.7361):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a2=1, b7=b5, b4c2=b4, bc3=bc, c4=c2, b2d=ab2, bd3=abd2, d5=ad4, be=b, de=d, e3=e2, b2f=ab3, c3f=cf, bdf=b2, d2f=bd, ef=f, bf2=b3, f3=ab3, b3g=ab5, b2c2g=b2g, c3g=cg, bc2d2g=bd2g, cdfg=bcg, df2g=bfg, bg2=b5, c2g2=g2, dg2=ab6, eg2=g2, fg2=ab5, g3=ab6, b3h=b3, bch=bcd2, bdh=abh, d3h=ad2h, bfh=ab2h, cfh=bcd, dfh=bh, f2h=b2h, bgh=bd2g, cdgh=cd3g, ce2gh=cd2g, fgh=bdg, g2h=b6, b2h2=b2h, c3h2=ch2, dh2=ah2, eh2=h2, fh2=abh2, gh2=c2d4g, bh3=bh2, h4=h3, b3i=b2g, bdi=abi, c2di=ac2i, d3i=ad2i, ei=i, bfi=ab2i, cfi=abci, dfi=bi, b2gi=b5, c2gi=gi, dgi=agi, fgi=abgi, g2i=ab5, b2hi=b2c2i, c2hi=c2i, d2hi=adhi, fhi=abhi, ghi=gi, h2i=c2i, i2=b6, b2j=b3, c3d2j=cd2j, ej=j, bfj=ab3, dfj=bj, f2j=b3, bgj=f2g, cdgj=cfg, d3gj=bc2dg, g2j=b5, hj=d2j, bij=b2c2i, c3ij=cij, cdij=acij, d2ij=c2ij, fij=ab2c2i, gij=bgi, c2j2=j2, bdj2=abj2, fj2=abj2, dgj2=c2fgj, dij2=aij2, bj3=b6, dj3=aj3, gj3=ab5, j4=b6, b5k=ab5, c3d2k=cd2k, ek=k, dfk=bk, b2hk=b2k, c3hk=chk, cghk=cd2gk, bc2ik=bik, c3ik=cik, cdik=acik, d2ik=c2ik, f2ik=b2ik, gik=agi, hik=c2ik, ij3k=ab2g, b2k2=b6, c2k2=k2, dk2=ak2, fk2=abk2, g2k2=b6, hk2=k2, bjk2=b6, gjk2=bgk2, bk3=abk2, gk3=agk2, jk3=abk2, k4=ak3, bl=bc2dg, cl=cdg, d2l=c2d3g, el=l, fl=d2gj, g2l=b6, hl=c2d3g, il=agi, jl=c2fg, k2l=agk2, l2=b6>

P = {a, b2, b4, b6, c2, b2c2, acd, ac3d, d2, c2d2, ad3, ac2d3, d4, c2d4, e, c2e, e2, c2e2, af, abcf, f2, c2f2, adf2, ac2df2, abg, b2cg, ac2g, c2dg, ad2g, ac2d2g, d3g, c2d3g, ad4g, ac2d4g, ac2eg, ac2e2g, af2g, ac2f2g, g2, h, b2h, c2h, adh, ac2dh, d2h, c2d2h, eh, c2eh, e2h, c2e2h, acgh, dgh, ad2gh, h2, c2h2, h3, c2h3, ai, ab2i, abc2i, di, acd2i, abcgi, ahi, cdhi, bj, bc2j, abdj, abc2dj, bd2j, bc2d2j, afj, ac2fj, fgj, c2fgj, ac2ij, dij, j2, adj2, d2j2, ad3j2, d4j2, agj2, cij3, abk, ab3k, ab4ck, ac2k, ab2c2k, bdk, c2dk, abd2k, ac2d2k, c2d3k, ac2d4k, fk, bc2fk, ac2f2k, c2gk, ac2dgk, c2d2gk, ac2d3gk, c2d4gk, afgk, abc2fgk, c2f2gk, acg2k, abhk, ac2hk, c2dhk, ac2d2hk, fhk, ach2k, ah3k, ac2h3k, bik, ajk, abc2jk, cdjk, bc2djk, abc2d2jk, c2fjk, gjk, adgjk, ac2fgjk, c2ijk, aj2k, dj2k, ad2j2k, d3j2k, ad4j2k, gj2k, k2, agk2, abik2, aijk2, j2k2, ak3, l, adl, agl, dgl, dkl}

Phi = 1 a b ab c d e f b g h i j k l

Monoid Structure

Idempotent  |G|  |Arch|
122
b6 *8688
c246
d428
c2d4424
e224
c2e2412
h3214
c2h3438
ak3472