Details Page for 0.3135

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   4270
P-Portion Size:   861
Tame?   No

MSV File: q-0.3135.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
8144
10389
1310223
1426252
15646131
191438287
212542512
224270861

(Click on a heap to see details)

Details for Q15(0.3135):

Q = <a,b,c,d,e,f,g,h,i | a2=1, b3=b, b2c=c, c5=c4, b2d=d, c4d=ac4, d2=c4, b2e=e, c4e=bc4, ce2=c, e3=e, b2f=f, cf=ce, ef=e2, f2=e2, b2g=g, c4g=ac4, g2=e2, b2h=h, ch=bc2, eh2=c2e, h5=bh4, b2i=i, c4i=ac4, fgi=egi, gh3i=bc3gi, h4i=gh4, ci2=c, ei2=e, fi2=e, h3i2=bc3, gi3=gi, i4=i2>

P = {a, b2, c, c2, c3, c4, bd, acd, ac2d, ac3d, be, bce, bc2e, bc3e, ade, abc2de, abc3de, e2, bde2, bf, adf, g, acg, ac2g, ac3g, bdg, c2dg, c3dg, beg, bceg, abc2eg, abc3eg, deg, cdeg, bc3deg, e2g, bde2g, bfg, dfg, bh, dh, eh, be2h, fh, bgh, egh, bdegh, be2gh, fgh, bdfgh, h2, bdh2, bfh2, gh2, bfgh2, bh3, dh3, fh3, bgh3, fgh3, h4, bdh4, bfh4, gh4, bfgh4, i, aci, ac2i, ac3i, bdi, bcdi, c3di, bei, bcei, abc2ei, abc3ei, dei, bc2dei, bc3dei, e2i, bde2i, bfi, dfi, gi, cgi, c2gi, c3gi, bdgi, abcdgi, abc2dgi, begi, bcegi, bc2egi, bc3egi, degi, acdegi, abc3degi, e2gi, bde2gi, bhi, dhi, ehi, be2hi, de2hi, fhi, bghi, adghi, eghi, abdeghi, be2ghi, ade2ghi, h2i, bfh2i, gh2i, abdgh2i, bh3i, fh3i, i2, bdi2, gi2, bdgi2, bhi2, dhi2, bghi2, h2i2, gh2i2, i3, bdi3, bhi3, dhi3, h2i3}

Phi = 1 a b a b c b b2 d b2 e b2 f g h i b c b

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c4 *4556
e23256
h4416
i2812