Details Page for 0.3733

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   2792
P-Portion Size:   297
Tame?   No

MSV File: q-0.3733.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
4102
6184
7285
88611
926429
102792297

(Click on a heap to see details)

Details for Q10(0.3733):

Q = <a,b,c,d,e,f,g,h | a2=1, b4=b2, b2c2=b2, bc3=bc, c4=c2, b2d=ab2, c3d=cd, c2d2=d2, d3=ab2, b2e=b3, bc2e=be, c3e=ce, e6=e4, b2f=ab3, bc2f=bf, c3f=cf, bd2f=ab2, bef=ab3, d2e2f=abd2e2, f2=b2, c3g=cg, bd2g=b3g, bdeg=ab2g, d2e3g=b3g, be4g=be2g, e5g=e3g, d2fg=ab3g, c2defg=defg, e4fg=e2fg, b3g2=bg2, c2g2=g2, dg2=ab2g2, beg2=b2g2, bfg2=ab2g2, bg3=bcg2, e4g3=e2g3, g4=b2g2, bc2dh=bdh, bc2gh=bgh, bdgh=ab3gh, bfgh=ab2gh, c2efgh=efgh, de2fgh=b3gh, bg2h=abcg2, fg2h=bcg2, g3h=ab2g2, c2fh2=fh2, cde3gh2=abce2gh2, c2e2h3=e2h3, de4fh3=abde4h3, de3gh3=abe2gh3, dfgh3=b3gh3, b2h4=b2g2, d2fh4=abd2h4, e2fgh4=abcg2, g2h4=bd2eh4, c2eh5=eh5, bd2e2h5=abgh4, bfh5=b2cg2, be2gh5=abd2e4h4, efgh5=bdfh4, c2dh6=dh6, e4h6=e4h4, c2gh6=gh6, d2egh6=afgh4, e3gh6=e3gh4, fgh6=abcg2, c2h8=h8, dgh8=bd2eh7, bgh9=bgh7, bh10=bh8, d2h10=d2h8, e3h10=e3h8, fh10=fh8, dh11=dh9, h12=h10>

P = {a, b2, c2, acd, d2, e, bce, abde, bd2e, ae2, c2e2, acde2, d2e2, e3, bce3, abde3, bd2e3, ae4, c2e4, acde4, d2e4, e5, bce5, abde5, bd2e5, bf, cef, ad2ef, ce3f, ce5f, abg, b2cg, ac2g, bdg, cd2g, deg, ac2e2g, cd2e2g, de3g, ac2e4g, afg, bcfg, c2dfg, ae3fg, c2e3fg, g2, b2g2, e2g2, e4g2, aefg2, ace3fg2, cg3, ce2g3, acefg3, ch, ab2ch, c3h, adh, ac2dh, beh, acd2eh, ce2h, ade2h, ac2de2h, be3h, acd2e3h, ce4h, ade4h, ac2de4h, be5h, acd2e5h, abcfh, efh, c2efh, e3fh, ac2e3fh, c2de3fh, e5fh, ac2e5fh, c2de5fh, abgh, ab3gh, aegh, degh, c2degh, ad2egh, abe2gh, de3gh, ac2fgh, adfgh, acg2h, ace2g2h, ace4g2h, h2, b2h2, c2h2, acdh2, d2h2, bceh2, abdeh2, bd2eh2, e2h2, c2e2h2, acde2h2, d2e2h2, bce3h2, abde3h2, bd2e3h2, e4h2, c2e4h2, acde4h2, d2e4h2, bce5h2, abde5h2, bd2e5h2, bfh2, cefh2, ad2efh2, ce3fh2, ce5fh2, b2cgh2, cd2gh2, ae2gh2, ac2e2gh2, cd2e2gh2, de3gh2, ae4gh2, ac2e4gh2, efgh2, ace3fgh2, g2h2, e2g2h2, e4g2h2, ah3, ab2ch3, ac2h3, cdh3, acd2h3, beh3, abcd2eh3, ce2h3, ade2h3, be3h3, acd2e3h3, ce4h3, ade4h3, be5h3, acd2e5h3, bcfh3, abcdfh3, aefh3, defh3, e3fh3, e5fh3, abgh3, ab3gh3, acdegh3, abe2gh3, acg2h3, ace2g2h3, ace4g2h3, h4, c2h4, adh4, ac2dh4, d2h4, bceh4, abdeh4, bd2eh4, e2h4, acde2h4, d2e2h4, bce3h4, abde3h4, bd2e3h4, e4h4, acde4h4, d2e4h4, bce5h4, abde5h4, bd2e5h4, bfh4, cefh4, ae3fh4, de3fh4, ae5fh4, cgh4, cd2gh4, degh4, ae2gh4, cd2e2gh4, ae4gh4, acefgh4, ach5, ac3h5, cdh5, acd2h5, beh5, abcd2eh5, ce2h5, ade2h5, be3h5, acd2e3h5, ce4h5, ade4h5, be5h5, acd2e5h5, efh5, acdefh5, agh5, ac2gh5, c2dgh5, ad2gh5, abegh5, ace2gh5, de2gh5, ad2e2gh5, ace4gh5, h6, c2h6, adh6, d2h6, bceh6, abdeh6, bd2eh6, e2h6, acde2h6, d2e2h6, bce3h6, abde3h6, aefh6, defh6, ae3fh6, de3fh6, cgh6, acdgh6, cd2gh6, ae2gh6, bh7, ac3h7, cdh7, acd2h7, abceh7, bcdeh7, abcd2eh7, ade2h7, be3h7, acd2e3h7, cefh7, acdefh7, agh7, dgh7, ad2gh7, abegh7, ce2gh7, acde2gh7, h8, adh8, d2h8, beh8, abdeh8, bd2eh8, e2h8, d2e2h8, bce3h8, abde3h8, aefh8, defh8, ae3fh8, de3fh8, cgh8, bcegh8, ae2gh8, ach9, cdh9, acd2h9, abceh9, bcdeh9, abcd2eh9, ace2h9, cde2h9, acd2e2h9, be3h9, cefh9, acdefh9, acde3fh9, agh9, h10, adh10, e2h10, ade2h10, cgh10, ce2gh10, ach11, ace2h11, agh11, ae2gh11}

Phi = 1 a b ab c 1 d e f g h

Monoid Structure

Idempotent  |G|  |Arch|
122
b28232
c246
e4410
c2e4820
b2g2 *82262
e4h416188
h10872