Details Page for 0.1753

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1848
P-Portion Size:   207
Tame?   No

MSV File: q-0.1753.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
362
6102
9285
135611
147213
1773685
1874486
191848207

(Click on a heap to see details)

Details for Q19(0.1753):

Q = <a,b,c,d,e,f,g,h,i,j,k | a2=1, b3=b, b2c3=c3, c5=c3, bd=ab, c3d=ac3, d2=b2, b2ce=ce, c3e=c4, de=ab2e, e4=e2, bf=ab, c3f=ac3, cef=ace, f2=b2, b2g=g, c3g=ac3, dg=ag, fg=ag, c2g2=b2c2, eg2=b2e, g3=g, b2h=h, c3h=c4, dh=ah, fh=ah, g2h=h, c2h2=b2c2, ceh2=ce, e2h2=b2e2, ch3=ch, eh3=eh, h4=h2, b2ci=ci, c3i=bc4, di=ab2i, b2e2i=e2i, fi=ab2i, b2i2=i2, c2i2=b2c2, g2i2=i2, h2i2=i2, ce2i3=ce2i, i4=i2, bj=b2e, c2j=bc2e, ej=be2, fj=dj, gj=beg, hj=beh, ij=bei, j2=b2e2, b2k=k, dk=ak, c2e3k=c2ek, fk=ak, g2k=k, ch2ik=cik, eh2ik=eik, h3ik=hik, jk=bek, c2k2=c2e2, e2k2=b2e2, h2k2=k2, ci3k3=cik3, k4=b2e2>

P = {a, b2, c2, b2c2, c4, ad, ac2d, ae, bce, ae2, b2e2, c2e2, ae3, bce3, cf, cdf, ag, ac2g, bceg, ae2g, ac2e2g, bce3g, g2, bch, eh, c2eh, bce2h, e3h, c2e3h, bcgh, aegh, ac2egh, bce2gh, ae3gh, ac2e3gh, h2, agh2, abci, ab2ei, bc2ei, ce2i, be3i, bc2e3i, abcgi, egi, abc2egi, ce3gi, ahi, bc2hi, cehi, be2hi, bc2e2hi, ghi, abc2ghi, abc2e2ghi, ch2i, beh2i, bh3i, i2, bcei2, e2i2, bce3i2, agi2, abcegi2, ae2gi2, bce3gi2, bchi2, ehi2, bce2hi2, e3hi2, abcghi2, aeghi2, abce2ghi2, ae3ghi2, ci3, bei3, be3i3, acgi3, abegi3, bhi3, cehi3, be2hi3, abghi3, aceghi3, abe2ghi3, cj, ck, bek, ace2k, abe3k, cgk, begk, ce2gk, be3gk, bhk, acehk, abe2hk, ce3hk, bghk, ceghk, be2ghk, ce3ghk, ach2k, abeh2k, cgh2k, begh2k, abh3k, bgh3k, abik, abceik, ae2ik, abce3ik, abgik, bcegik, e2gik, abc2e2gik, abchik, aehik, bcghik, eghik, e3ghik, ah2ik, gh2ik, aci2k, abei2k, ace2i2k, abe3i2k, cgi2k, begi2k, ce2gi2k, be3gi2k, abhi2k, acehi2k, abe2hi2k, ce3hi2k, bghi2k, ceghi2k, be2ghi2k, ce3ghi2k, ai3k, abcei3k, ae2i3k, gi3k, bcegi3k, e2gi3k, abchi3k, aehi3k, bcghi3k, eghi3k, e3ghi3k, k2, bcek2, agk2, abcegk2, bchk2, ehk2, abcghk2, aeghk2, cik2, beik2, acgik2, abegik2, bhik2, cehik2, abghik2, i2k2, bcei2k2, agi2k2, abcegi2k2, bchi2k2, ehi2k2, abcghi2k2, aeghi2k2, ci3k2, bei3k2, acgi3k2, abegi3k2, bhi3k2, cehi3k2, abghi3k2, aceghi3k2, ack3, abek3, cgk3, begk3, abhk3, acehk3, bghk3, ceghk3, aik3, abceik3, gik3, abchik3, aehik3, eghik3, aci2k3, abei2k3, cgi2k3, begi2k3, abhi2k3, acehi2k3, bghi2k3, ceghi2k3, ai3k3, gi3k3, aehi3k3, eghi3k3}

Phi = 1 a a b b ab c a d e ab b b f g b2e h i j k

Monoid Structure

Idempotent  |G|  |Arch|
122
b2410
c4 *16964
e246
b2e264218
g288
h21624
i23270
e2i2128546