Details Page for 0.3713

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   3560
P-Portion Size:   417
Tame?   No

MSV File: q-0.3713.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
7123
8245
9487
1112821
1240050
131752206
141944228
153560417

(Click on a heap to see details)

Details for Q13(0.3713):

Q = <a,b,c,d,e,f,g,h | a2=1, b4=b2, b2c=b3, c2=1, d4=d2, b3e=be, bce=b2e, bd2e2=be2, d3e2=de2, d2e3=e3, b2e4=e4, ce4=be4, e5=ae4, e4f=abe4, f2=1, b3g=bg, bcg=b2g, e4g=ade4, e2g2=e2, g4=g2, b3h=bh, bch=b2h, be2h=be2, d2e2h=e2h, e3h=e3, e2h2=e2h, h3=h2>

P = {a, b2, c, ad, cd, ad2, b2d2, cd2, ad3, cd3, abe, abd2e, e2, b2e2, d2e2, ae3, ab2e3, e4, af, cf, adf, b2df, cdf, ad2f, cd2f, ad3f, b2d3f, cd3f, abdef, abd3ef, ace2f, de2f, b2de2f, be3f, ce3f, abg, abd2g, eg, b2eg, d2eg, b2d2eg, abe2g, ade2g, de3g, b2de3g, abdfg, abd3fg, acefg, defg, b2defg, d3efg, b2d3efg, abde2fg, ad2e2fg, acde3fg, g2, b2g2, d2g2, b2d2g2, abeg2, adeg2, abd2eg2, ad3eg2, acfg2, dfg2, b2dfg2, d3fg2, b2d3fg2, abdefg2, ad2efg2, abd3efg2, abg3, adg3, abd2g3, ad3g3, eg3, b2eg3, d2eg3, b2d2eg3, abdfg3, ad2fg3, abd3fg3, acefg3, defg3, b2defg3, d3efg3, b2d3efg3, h, b2h, d2h, b2d2h, aeh, ab2eh, ad2eh, ab2d2eh, e2h, acfh, dfh, b2dfh, d3fh, b2d3fh, befh, cefh, bd2efh, cd2efh, de2fh, abgh, adgh, abd2gh, ad3gh, bdegh, cdegh, bd3egh, cd3egh, ace2gh, abdfgh, ad2fgh, abd3fgh, g2h, b2g2h, d2g2h, b2d2g2h, aeg2h, ab2eg2h, abd2eg2h, acd2eg2h, dfg2h, b2dfg2h, d3fg2h, b2d3fg2h, befg2h, cefg2h, abd3efg2h, acd3efg2h, abg3h, acg3h, abd2g3h, acd2g3h, bdeg3h, cdeg3h, bd3eg3h, cd3eg3h, abdfg3h, acdfg3h, abd3fg3h, acd3fg3h, bd2efg3h, cd2efg3h, h2, b2h2, d2h2, b2d2h2, aeh2, ab2eh2, ad2eh2, ab2d2eh2, dfh2, b2dfh2, d3fh2, b2d3fh2, befh2, cefh2, bd2efh2, cd2efh2, abgh2, acgh2, abd2gh2, acd2gh2, degh2, b2degh2, d3egh2, b2d3egh2, abdfgh2, acdfgh2, abd3fgh2, acd3fgh2, g2h2, b2g2h2, d2g2h2, b2d2g2h2, aeg2h2, ab2eg2h2, ad2eg2h2, ab2d2eg2h2, dfg2h2, b2dfg2h2, d3fg2h2, b2d3fg2h2, befg2h2, cefg2h2, ad3efg2h2, ab2d3efg2h2, abg3h2, acg3h2, abd2g3h2, acd2g3h2, deg3h2, b2deg3h2, d3eg3h2, b2d3eg3h2, abdfg3h2, acdfg3h2, abd3fg3h2, acd3fg3h2, d2efg3h2, b2d2efg3h2}

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

Monoid Structure

Idempotent  |G|  |Arch|
188
b2816
d21624
b2d21648
e4 *8952
g21624
b2g21624
d2g23272
b2d2g23272
h2816
b2h2816
d2h21648
b2d2h21648
g2h21648
b2g2h21648
d2g2h232144
b2d2g2h232144