Details Page for 0.3104

Complete Solution is Known:

Period:   18
Preperiod:   39
Quotient Size:   314
P-Portion Size:   42
Tame?   No

MSV File: q-0.3104.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
6144
8389
114611
126215
168218
1712223
1818629
2722633
3731442

(Click on a heap to see details)

Details for Q37(0.3104):

Q = <a,b,c,d,e,f,g,h,i,j,k | a2=1, b3=b, b2c=c, c4=c3, b2d=d, c3d=bc3, c2d2=c2, cd3=cd, d4=d2, b2e=e, ce=bc3, d3e=de, de2=bc3, e3=be2, b2f=f, cf=c2, d3f=df, ef=bc3, f2=c3, b2g=g, c3g=c2g, c2dg=bc2g, cd2g=cg, d3g=dg, fg=cg, g2=c3, b2h=h, c3h=ac2g, c2gh=ac3, h2=b2, b2i=i, c2i=bc3, cd2i=ci, d3i=di, ei=c3, fi=d2e, cgi=d2eg, d2gi=gi, i2=bd2e, b2j=j, c2j=abc3, dj=bcj, ej=ac3, fj=cj, gj=abc2g, ij=bcj, j2=c3, b2k=k, ck=bdghi, d2k=k, ek=ac3, gk=abc2g, ik=bfk, jk=c3, k2=c3>

P = {a, b2, c, c2, c3, bd, bcd, bc2d, d2, cd2, bd3, be, de, bd2e, e2, f, bdf, d2f, bg, bd2g, eg, be2g, ah, ad2h, abeh, ae2h, bgh, acgh, adgh, bd2gh, egh, adegh, be2gh, bi, bci, di, cdi, bd2i, aghi, aj, ak, abdk}

Phi = 1 a b c ac3 c3 gh b2 d ade bc3 egh e f ac3 bc2d g h i ade bcd2 c2 ac3 c3 ac3 c3 bc2 j bc3 bdegh bde c2 ac3 c3 c2g ac2g bc3 k bf c3 ac3 c3 ac3 c3 bc3 abc3 bc3 abc3 bc3 c3 ac3 c3 c2g ac2g bc3 abc3 bc3 c3 ac3 c3 ac3 c3 bc3 abc3 bc3 abc3 bc3 c3 ac3 c3 c2g ac2g bc3 abc3 bc3 c3 ac3 c3 ac3 c3 bc3 abc3 bc3 abc3 bc3 c3 ac3 c3 c2g ac2g bc3 abc3 bc3 c3 ac3 c3 ac3 c3 bc3 abc3 bc3 abc3 bc3 c3 ac3 c3 c2g ac2g bc3 abc3 bc3 c3 ac3 c3 ac3 c3 bc3 abc3 bc3

Monoid Structure

Idempotent  |G|  |Arch|
122
b288
c3 *8264
d21624
e2816