Details Page for 0.04

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   864
P-Portion Size:   102
Tame?   No

MSV File: q-0.04.msv

Growth Pattern:

Heap   Q-Size   P-Size
421
762
16123
17245
33487
378012
4218427
4338045
44864102

(Click on a heap to see details)

Details for Q44(0.04):

Q = <a,b,c,d,e,f,g,h,i | a2=1, b5=b3, b2c2=b2, c3=c, b2d=ab3, d3=d, bc2e=be, bde=ab4e, c2e2=e2, de2=ab3e2, b2e3=e3, e4=e3, b2f=ab4, c2f=f, df=b3, e2f=ab4e2, f2=b4, e3g=ace3, fg=ab4g, b2g2=b2, bdg2=bd, cdg2=cd, e2g2=e2, g3=g, bc2h=bh, bdh=ab4h, c2eh=eh, deh=ab3eh, b3e2h=b4ce2, e3h=bce3, fh=ab4h, bg2h=bh, dg2h=dh, b2h2=b2, c2h2=h2, dh2=ab3, beh2=beg2, e2h2=e2, bh3=bh, eh3=eh, h4=h2, b4i=b2i, bcdi=ab2ci, cdei=ab3cei, bfi=ab3i, bg2i=bi, cdhi=ab3chi, b2e2hi=b3ce2i, g2hi=hi, bh2i=bc2i, eh2i=c2eg2i, h3i=c2hi, b3i2=bi2, c2i2=i2, di2=abi2, fi2=ab2i2, g2i2=i2, be2hi2=b2ce2i2, h2i2=i2, i3=b2ci2>

P = {a, b2, b4, ac, ac2, ad, acd, ac2d, ad2, acd2, ac2d2, abe, ab3e, e2, b2e2, b4e2, e3, af, aef, g, b3g, cg, c2g, dg, cdg, c2dg, d2g, cd2g, c2d2g, ab2eg, ab4eg, ace2g, b3ce2g, ag2, acg2, ac2g2, adg2, ad2g2, abeg2, bh, b3h, aeh, ab2eh, ab4eh, bce2h, b2gh, b4gh, abegh, ab3egh, abe2gh, h2, bgh2, g2h2, gh3, bci, b3ci, bdi, acei, ab2cei, adei, bce2i, b3ce2i, bce3i, abgi, b2cgi, abd2gi, egi, abcegi, ab3cegi, d2egi, b2e2gi, aceg2i, chi, b2chi, dhi, abcehi, ab3cehi, e2hi, aghi, bcghi, b3cghi, ad2ghi, aceghi, ab2ceghi, ace2ghi, cgh2i, i2, b2i2, abei2, e2i2, b2e2i2, e3i2, bgi2, aegi2, ab2egi2, bce2gi2, bhi2, aehi2, ab2ehi2, ghi2, b2ghi2, abeghi2}

Phi = 1 1 1 1 a a a b b 1 ab ab a a a 1 c d ab ab ad b b c c 1 ac ac ad b b d ab e ac b2 a f ab2 d abd2 ab g h i

Monoid Structure

Idempotent  |G|  |Arch|
122
b432138
c244
d244
c2d21616
e38218
g244
c2g288
d2g288
h2814
g2h21628
b2i232186
e3i2 *8234