Details Page for 0.1375

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   376
P-Portion Size:   43
Tame?   No

MSV File: q-0.1375.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
362
9123
10285
15325
16527
1716022
2036843
2137643

(Click on a heap to see details)

Details for Q20(0.1375):

Q = <a,b,c,d,e,f,g,h,i,j | a2=1, b5=b3, b4c=b2c, b2c2=b4, c3=c, b2d=d, c2d=d, d3=cd2, be=ab2, ce=abc, de=abd, e2=b4, bf=b2, cf=b3c, df=bd, ef=ab2, f2=b4, bg=ab3, dg=ad, eg=b3, fg=ab3, g2=b4, b3h=bh, bc2h=bh, d2h=cd2, eh=abh, fh=bh, h2=d2, d2i=cd2, dhi=cdh, di2=cdi, bhi2=bchi, chi2=b2hi, b2i3=b2ci2, bci3=b3i2, ei3=ab3ci2, fi3=bi3, cgi3=ab4i2, bi4=b3i2, ci4=b2ci2, ghi4=ab2chi, gi5=ab2ci2, hi6=hi4, i7=i5, d2j=abcd2, c2hj=hj, dhj=abcdh, ghj=ab2hj, dij=abcdi, hij=abchi, b2i2j=abi3, bci2j=aci3, gi2j=bi3, bi3j=gi4, ci3j=ab3ci2, i4j=ab3ci2, dj2=cdi, gj2=ab2j2, hj2=abchj, b3ij2=ab2cij, b2cij2=ab3ij, ci2j2=c2i3, i3j2=b2ci2, b3j3=ab2cj2, cj3=abc2j2, i2j3=ab3ci2, j4=b4j2>

P = {a, b2, b4, ac, ac2, bcd, d2, ab2ch, abdh, cgh, i, ab2ci, c2i, abdi, agi, ac2gi, b2hi, b2i2, b4i2, aci2, cgi2, i3, agi3, i5, acj, cgj, hj, aij, ac2ij, gij, c2gij, ci2j, ai3j, bj2, b3j2, bc2j2, aej2, fj2, abcij2, abi2j2, afi2j2, ij3, b2ij3}

Phi = 1 a a b b ab a a b c d e f f ab2 g h i f b3 j

Monoid Structure

Idempotent  |G|  |Arch|
122
b4826
c244
d2 *8104
b4i28152
i6412
b4j2868