Details Page for 0.3367

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   554
P-Portion Size:   59
Tame?   No

MSV File: q-0.3367.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
5102
8285
11448
136211
1615821
1736843
1838045
1955459

(Click on a heap to see details)

Details for Q19(0.3367):

Q = <a,b,c,d,e,f,g,h,i,j,k,l | a2=1, b4=b2, b3c=bc, b2c3=c3, c5=c3, b3d=bd, b2c2d=c2d, c3d=ac4, d3=d, be=ab3, c3e=ac3, cde=acd, c2e2=b2c2, e3=ae2, b3f=bf, b2cf=cf, c2f=ac3, df=acd, cef=acf, e2f=aef, f2=acf, bg=ac2d2, c2g=abc4, e2g=aeg, fg=acg, g2=c4, b3h=bh, b2ch=ch, c3h=c4, dh=cd, ceh=ach, e2h=aeh, fh=ach, gh=cg, h2=ch, b3i=bi, b2ci=ci, c3i=abc4, ei=ab2i, fi=aci, cgi=c4, d2gi=gi, b2hi=hi, b2i2=i2, c2i2=b2c2, di2=b2d, gi2=abc2d2, hi2=b2h, i3=b2i, b3j=bj, b2c2j=c2j, c4j=c2j, c2dj=ac3j, c2ej=ac2j, ce2j=acej, bfj=abcj, cfj=ac2j, efj=acej, degj=adgj, c2hj=c3j, c2ij=abc3j, gij=c3j, b2j2=j2, c3j2=cj2, cdj2=ac2j2, ej2=aj2, fj2=acj2, gj2=abc2j2, hj2=cj2, cij2=abc2j2, d2ij2=ij2, i2j2=d2j2, c2j3=j3, dj3=acj3, ij3=abcj3, j5=bj4, ck=cf, dek=adk, e2k=aek, fk=acf, gk=ceg, hk=ach, b2ik=ik, bjk=abcj, djk=acdj, ejk=acej, ijk=acij, j2k=acj2, b2dk2=dk2, ek2=ab2k2, jk2=c2j, k3=ac3, b3l=bl, b2cl=cl, c2l=abd2k2, d2l=l, cel=acl, e2l=b2l, fl=acl, gl=d2k2, hl=cl, b2il=il, i2l=b2l, cj2l=abcj2, j3l=abj3, b2kl=kl, ekl=akl, jkl=acjl, k2l=abc4, l2=d2k2>

P = {a, b2, c2, b2c2, c4, ad, bcd, ad2, b2d2, c2d2, ace, e2, d2e2, af, bcf, h, abch, ab2i, abcdi, ab2d2i, adgi, bchi, i2, ab2cj, bc3j, b2dj, ad2j, bcd2j, cej, de2j, fj, agj, ad2gj, cegj, ab2hj, ehj, ab2dij, bci2j, abj2, c2j2, d2j2, bcj3, j4, ak, abdk, bdik, k2, ab3k2, d2k2, i2k2, abl, bil, cdil, acjl, djl, adejl, bdijl, abj2l, aikl}

Phi = 1 a b 1 ab c a b d ab c e b f g h i j k l

Monoid Structure

Idempotent  |G|  |Arch|
122
b246
c48264
d244
b2d21620
e224
d2e248
i2810
j4 *8236