Details Page for 0.5634

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1064
P-Portion Size:   104
Tame?   No

MSV File: q-0.5634.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
362
5102
7123
8163
11286
124410
139216
1417224
151064104

(Click on a heap to see details)

Details for Q15(0.5634):

Q = <a,b,c,d,e,f,g,h,i,j,k | a2=1, b4=b2, b3c=bc, b2c2=c2, c4=c2, b2d=bc, bcd=c2, c2d=bc3, bd3=cd2, cd3=bd2, d4=d2, be=b2c, c2e=bc3, cde=c3, d3e=de, e2=c2, bf=bc, cf=c2, df=cd, ef=ce, f2=c2, b3g=bg, cg=ac3, bdg=ac3, d3g=dg, d2eg=eg, fg=ac3, g2=c2, bch=b2c, c2h=bc2, deh=bd2, dgh=acd2, egh=ac3, b2h2=b3h, bdh2=bd, cdh2=cd, ceh2=ce, fh2=f, bgh2=b2gh, h3=h, bd2i=cdi, cei=bc2i, fi=bdi, dgi=ad2ei, egi=abc3i, bdhi=ei, cdhi=dei, ehi=bdi, ch2i=ci, dh2i=di, c2i2=c2, bi3=bi, ci3=ci, ei3=ei, gi3=gi, i4=i2, c2j=ac3, bdj=b2cj, cdj=abc3, d2j=acd2, cej=abc3, dej=ac3, fj=b2cj, b2gj=gj, dgj=bc2, egj=bc2, ghj=bc3, dh2j=dj, eh2j=ej, eij=bcij, gi2j=gj, i3j=ij, b2j2=j2, dj2=bcj2, ej2=bcj2, chj2=bcj2, h2j2=bhj2, i2j2=j2, j4=j2, fhk=chk, ch2k=fk, b3ik=bik, b2cik=cik, bdik=cik, cdik=bc2ik, eik=bcik, b2gik=gik, chik=bcik, ghik=abc2ik, bh2ik=b2hik, chjk=bcjk, b2ijk=ijk, dijk=bcijk, h2ijk=bhijk, cj3k=ci2jk, hj3k=hi2jk, b2hk2=b3k2, bghk2=b2gk2, bh2k2=bk2, c2ik2=b2ik2, d3ik2=dik2, gik2=ab2ik2, bhik2=b2ik2, h2ik2=ik2, i2k2=c2k2, gjk2=c3k2, ijk2=acik2, j2k2=c2k2, bck3=cik2, c2k3=bik2, cd2k3=bdk3, bgk3=ab2ik2, ghk3=acdk3, bik3=c2k2, cik3=bc3k2, dik3=cd2k2, djk3=acdk3, ejk3=acek3, bk4=bd2k2, cdk4=bd2k2, d3k4=dk4, gk4=d2gk2, hjk4=achk4, dk5=d3k3, ek5=ek3, cjk5=cjk3, k6=k4>

P = {a, b2, c2, ad, ad2, ad3, bg, adeg, ah, b3h, adh, ad2h, ad3h, ceh, gh, b2gh, ah2, adh2, ad2h2, ad3h2, i, ab2i, d2i, abhi, ab3hi, d2hi, ai2, b2i2, adi2, ad2i2, ad3i2, bgi2, ahi2, b3hi2, adhi2, ad2hi2, ad3hi2, ghi2, b2ghi2, ah2i2, i3, d2i3, d2hi3, ab2j, acj, abhj, ab3hj, ach2j, aij, b2ij, ahij, b3hij, ah2ij, ab2i2j, aci2j, abhi2j, ab3hi2j, j2, agj2, bhj2, acj3, abk, dek, ad2gk, cdhk, bd2hk, abh2k, cik, c3ik, adhjk, gijk, bij2k, hij2k, abij3k, k2, b2k2, c2k2, d2k2, adek2, bgk2, cehk2, ghk2, h2k2, d2h2k2, ajk2, ab2jk2, abhjk2, ah2jk2, abk3, dek3, ad2gk3, adegk3, adhk3, bd2hk3, hik3, ajk3, b2jk3, ah2jk3, k4, d2k4, aehk4, h2k4, d2h2k4, ajk4}

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

Monoid Structure

Idempotent  |G|  |Arch|
122
b246
c216232
d246
b3h48
h244
d2h2812
i246
b2i2812
d2i21636
b3hi2816
h2i2812
j21640
bhj21652
c2k2 *16524
k4410
d2k4822
h2k4820
d2h2k41644