Details Page for 0.3123

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   328
P-Portion Size:   68
Tame?   No

MSV File: q-0.3123.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
6144
8266
917438
1031665
1132868

(Click on a heap to see details)

Details for Q10(0.3123):

Q = <a,b,c,d,e,f,g,h | a2=1, b4=b2, b3c=bc, b2c2=c2, c3=c2, b2cd=cd, c2d=cd, b2d2=d2, cd2=d2, d3=ad2, b3e=be, ce=bcd, d2e=abd2, b2e2=e2, de2=abde, e3=abe2, c2f=cd, cdf=d2, d2f=ad2, bef=e2, e2f=ae2, bf2=be2, cf2=d2, ef2=aef, f3=af2, d2g=acdg, bdg2=abc2g2, cdg2=ac2g2, b2eg2=eg2, deg2=bc2g2, e2g2=c2g2, bcfg2=eg2, efg2=bc2g2, df2g2=adfg2, bg3=cg2, cg3=bc2g2, dg3=abc2g2, eg3=ac2g2, f2g3=bc2g2, g4=c2g2, c2h=d2, cdh=ad2, d2h=d2, deh=de, e2h=e2, efh=ef, cgh=acdg, begh=ae2g, g2h=c2g2, ch2=d2, bdh2=bdh, beh2=ae2, gh2=gh, h3=h2>

P = {a, b2, c, b2c, c2, abd, ab3d, abcd, d2, ae, ab2e, bde, e2, f, ab3f, abcf, b2df, af2, bg, b3g, acg, ab2cg, ac2g, bcdg, abeg, be2g, ab2fg, bcfg, dfg, defg, adf2g, g2, b2g2, cg2, b2cg2, c2g2, adg2, afg2, ab3fg2, acfg2, f2g2, h, b2h, ch, b2ch, adh, ab2dh, afh, ab3fh, acfh, b2dfh, f2h, bgh, b3gh, aegh, abfgh, ab3dfgh, h2, b2h2, adh2, afh2, ab2fh2, dfh2, f2h2, adf2h2}

Phi = 1 a b c b 1 d e f g h

Monoid Structure

Idempotent  |G|  |Arch|
122
b246
c2410
d2476
e2438
f224
c2g2 *4156
h224
b2h2412
f2h228