Details Page for 0.4105

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1180
P-Portion Size:   163
Tame?   No

MSV File: q-0.4105.msv

Growth Pattern:

Heap   Q-Size   P-Size
221
462
7102
9184
10265
1163088
121180163

(Click on a heap to see details)

Details for Q12(0.4105):

Q = <a,b,c,d,e,f,g | a2=1, b5=b3, b3c2=b3, b2c7=b4c, c14=c8, b2d=ab2, bc3d=abc3, bd2=abd, c6d3=ac6d2, d4=ad3, b2e=ab4, bc7e=ab3c, c10e=c8e, c8d2e=ab4, d3e2=ad2e2, e3=ae2, b3f=b4, b2f2=b4, bc9f2=bc3f2, c10f2=c4f2, bcdf2=abc7f2, d3f2=ad2f2, bc3ef2=ab3c, c6ef2=c4ef2, bdef2=b3, c5def2=c3def2, d2ef2=ab4, be2f2=abef2, bc3f3=b4c, c6f3=c4f3, bdf3=ab4, bef3=abf3, c2def3=def3, ce2f3=acef3, de2f3=adef3, bf4=abef2, c2df4=df4, d2f4=b4, cef4=acf4, def4=adf4, cf5=acef3, df5=adef3, ef5=ef3, f6=f4, b3g=b4, bdg=abg, d3g=ad2g, eg=be, bc7f2g=bcf2g, bf3g=b3, c3df3g=ac3f3g, d2f3g=adf3g, f4g=abef2, g2=b4>

P = {a, b2, b4, c2, b2c2, c4, b2c4, c6, b2c6, c8, c10, c12, acd, ac3d, ac5d, ac7d, ac9d, ac11d, ac13d, d2, c2d2, c4d2, c6d2, c8d2, c10d2, c12d2, ad3, ac2d3, ac4d3, ce, c3e, c5e, c7e, c9e, ad2e, ac2d2e, ac4d2e, ac6d2e, d3e, c2d3e, c4d3e, e2, c2e2, c4e2, c6e2, c8e2, ade2, ac2de2, ac4de2, ac6de2, ac8de2, d2e2, c2d2e2, c4d2e2, c6d2e2, af, bcf, c3f, bc4f, bc6f, bc8f, bc10f, bc12f, abdf, abc2df, ef, abcef, bc3ef, c5ef, abc6ef, bdef, ac5def, c5d3ef, bce2f, abc3e2f, abc5e2f, c7e2f, abde2f, ac7de2f, c7d2e2f, af2, c2f2, c4f2, c6f2, c8f2, acdf2, ac3df2, ac5df2, ac7df2, ac9df2, d2f2, c2d2f2, c4d2f2, c6d2f2, c8d2f2, ac2ef2, c5ef2, cdef2, e2f2, c2e2f2, c4e2f2, acde2f2, ac4de2f2, af3, bcf3, c3f3, ef3, ac3ef3, af4, c2f4, c4f4, acdf4, e2f4, af5, bg, ac2g, abc3g, ac5g, bc6g, ac8g, abc9g, ac11g, bc12g, c2dg, c5dg, c8dg, c11dg, ac5d2g, ac11d2g, b2fg, ac2fg, b2c2fg, abc4fg, ab2c5fg, c6fg, abc7fg, ac9fg, ac11fg, ac13fg, adfg, c3dfg, ac6dfg, c9dfg, c11dfg, c13dfg, d2fg, ac3d2fg, c6d2fg, ac9d2fg, ac11d2fg, ac13d2fg, bf2g, bc2f2g, ac4f2g, abc5f2g, ac7f2g, c4df2g, c7df2g, ac7d2f2g, cf3g, ac5f3g, adf3g, ac2df3g}

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

Monoid Structure

Idempotent  |G|  |Arch|
122
b4 *8878
c121226
c12d21262
ad326
e224
c8e2436
d2e2210
f4410
c4f48130
e2f4416