Details Page for 0.2205

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   904
P-Portion Size:   164
Tame?   No

MSV File: q-0.2205.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
362
6144
7245
85612
914027
10904164

(Click on a heap to see details)

Details for Q10(0.2205):

Q = <a,b,c,d,e,f,g | a2=1, b5=b3, b4c=b2c, b3c2=bc2, c3=ab2c2, c2d2=c2, cd3=cd, d4=d2, b3e2=b3, b2ce2=b2c, bc2e2=bc2, be3=be, ce3=ce, e4=e2, b4f=b2f, b3cf=bcf, b2c2f=c2f, c2df=ab2cdf, bcd2f=abc2f, b2e2f=b2f, bce2f=bcf, c2e2f=c2f, e3f=ef, b2f2=f2, d2f2=c2f2, e2f2=f2, cef3=abcf3, cf4=af4, df4=bf4, ef4=abf4, f5=f4, f4g=af4, b2g2=b4, bcg2=b3c, c2g2=b2c2, e2g2=g2, bfg2=b3f, cfg2=b2cf, f2g2=f2, g4=g2>

P = {a, b2, b4, bc, b3c, c2, b2c2, ad, ab3d, ab2cd, abc2d, ad2, b2d2, b4d2, bcd2, b3cd2, ad3, ab3d3, e, ab2e, ab4e, abce, ab3ce, de, b3de, acde, b2cde, d2e, ab2d2e, ab4d2e, abcd2e, ab3cd2e, d3e, b3d3e, ae2, b2e2, bce2, c2e2, abde2, ad2e2, b2d2e2, bcd2e2, abd3e2, e3, de3, d2e3, d3e3, bf, b3f, cf, b2cf, ac2f, ab2df, abcdf, bd2f, b3d2f, cd2f, ab2d3f, abef, ab3ef, adef, b2def, abd2ef, ab3d2ef, ad3ef, b2d3ef, be2f, ce2f, bd2e2f, cd2e2f, f2, acf2, c2f2, abdf2, bcdf2, f3, acf3, c2f3, bdf3, abcdf3, abef3, adef3, f4, ag, ab3g, ab2cg, abc2g, adg, b2dg, b4dg, bcdg, b3cdg, c2dg, b2c2dg, ad2g, ab3d2g, ab2cd2g, ad3g, b2d3g, b4d3g, eg, b3eg, b2ceg, deg, ab2deg, ab4deg, abcdeg, ab3cdeg, d2eg, b3d2eg, b2cd2eg, d3eg, ab2d3eg, ab4d3eg, ae2g, bde2g, cde2g, ad2e2g, bd3e2g, e3g, d2e3g, ab2fg, abcfg, bc2fg, bdfg, b3dfg, cdfg, b2cdfg, ab2d2fg, bd3fg, b3d3fg, b2efg, adefg, ab3defg, b2d2efg, ad3efg, ab3d3efg, de2fg, d3e2fg, af2g, abc2f2g, acdf2g, bef2g, cef2g, af3g, ac2f3g, bef3g, def3g, ag2, adg2, ad2g2, ad3g2, eg2, deg2, d2eg2, d3eg2, ag3, adg3, ad2g3, ad3g3, eg3, deg3, d2eg3, d3eg3}

Phi = 1 1 a b ab b2 c d e f g

Monoid Structure

Idempotent  |G|  |Arch|
122
b41648
b2c232200
d246
b4d232144
e246
d2e2818
f4 *4416
g2816
d2g21648