Details Page for 0.1677

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1970
P-Portion Size:   257
Tame?   No

MSV File: q-0.1677.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
362
6102
8184
13264
14305
1517826
1619430
1761880
201050135
211422188
221970257

(Click on a heap to see details)

Details for Q21(0.1677):

Q = <a,b,c,d,e,f,g,h,i,j,k | a2=1, b3=b, b2c=c, c3=ac2, b2d=d, c2d=ac2, d3=d, b2e=e, c2e=abc2, de2=ac2, e3=abe2, b2f=f, c2f=bc2, d2f=f, ef=ac2, f2=c2, b2g=g, c2g2=c2, e2g2=e2, fg3=fg, g5=g3, b2h=h, ch=c2, e2h=ce2, fh=cf, degh=acdfg, eg3h=egh, h2=c2, b2i=i, c2i=ac2, cd2i=ci, ce2i=c2, d2hi=hi, ehi=acfi, g3hi=ghi, d2i2=i2, e2i2=c2, fi2=bc2, hi2=ac2, i3=di2, b2j=j, d2j=j, e2j=c2j, cgj=agj, dgj=agj, egj=abgj, fgj=bgj, g2j=c2j, ghj=agj, cdeij=aceij, gij=agj, di2j=ai2j, cei2j=aceij, c2j2=c2, gj2=c2g, fj3=fj, eij3=eij, i2j3=i2j, j5=j3, b2k=k, c2k=bc2, dek=c2, e2k=abek, fk=c2, eg2k=ek, cdg3k=acfg, hk=ck, ceik=ac2, cgik=acdfgi, dg3ik=dgik, i2k=bc2, jk=bc2j, k2=c2>

P = {a, b2, abc, c2, ad, bcd, d2, abcd2, e2, ace2, bf, abdf, abg, cg, bdg, acdg, abd2g, cd2g, abceg, bcdeg, abcd2eg, bcfg, bcdfg, g2, adg2, d2g2, abeg2, bdeg2, abd2eg2, bfg2, abcfg2, abdfg2, cg3, cdg3, cd2g3, abceg3, abcdeg3, abcd2eg3, g4, acg4, adg4, d2g4, acd2g4, abeg4, bceg4, bdeg4, abd2eg4, bcd2eg4, abh, bdh, abd2h, gh, dgh, d2gh, abegh, ag2h, ad2g2h, beg2h, g3h, dg3h, d2g3h, ag4h, ad2g4h, bei, abdei, bd2ei, ae2i, abfi, bdfi, abcdfi, agi, dgi, ad2gi, bcegi, abcdegi, acdg2i, beg2i, abdeg2i, bd2eg2i, abfg2i, bdfg2i, abcdfg2i, ag3i, dg3i, ad2g3i, bcdeg3i, acdg4i, beg4i, abdeg4i, bd2eg4i, adghi, i2, aci2, adi2, cdi2, abei2, bdei2, abcegi2, bcdegi2, g2i2, acg2i2, adg2i2, cdg2i2, abeg2i2, bdeg2i2, bcg3i2, bceg3i2, g4i2, acg4i2, adg4i2, cdg4i2, abeg4i2, bdeg4i2, abcdeg4i2, bcj, abcdj, ej, acej, adej, cdej, cfj, acdfj, bhj, abdhj, aehj, dehj, bij, abcij, abdij, bcdij, ceij, cdfij, abhij, bdhij, j2, adj2, bfj2, abdfj2, beij2, abdeij2, abfij2, bdfij2, abcdfij2, i2j2, aci2j2, abei2j2, bcj3, bcdj3, ej3, acej3, adej3, bhj3, bdhj3, aehj3, bij3, abcij3, abdij3, abhij3, j4, acj4, adj4, bcej4, ahj4, behj4, cij4, hij4, ek, bgk, abcgk, abdgk, bcdgk, bd2gk, abcd2gk, aegk, cegk, bg3k, abcg3k, bdg3k, bd2g3k, abg4k, abdg4k, abik, bcik, bdik, abcdik, abd2ik, abg2ik, abd2g2ik}

Phi = 1 a 1 agj agj gj b b c d abgj agj agj e f g h i gj gj j k

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c2 *161160
d288
e2828
g4816
d2g41632
i2820
g4i21680
i2j2840
j41632