Details Page for 0.3436

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1400
P-Portion Size:   153
Tame?   No

MSV File: q-0.3436.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
13123
23285
26608
2914016
32888100
351400153

(Click on a heap to see details)

Details for Q32(0.3436):

Q = <a,b,c,d,e,f,g,h | a2=1, b3=b, c2=1, b2d=d, d5=d4, b2e=e, d4e=bd4, d3e3=d3e, e4=e2, b2f=f, d4f=acd4, f2=b2, d3g=acd3, g2=acg, d4h=bcd4, h2=1>

P = {a, b2, c, bd, d2, d3, d4, ae, abde, bd3e, e2, bde2, d2e2, d3e2, ae3, abde3, abf, adf, abd2f, bef, def, abcd3ef, abe2f, ade2f, abd2e2f, be3f, de3f, ag, cg, ab2cg, abcdg, acd2g, ceg, bcdeg, ace2g, abcde2g, acd2e2g, ce3g, bcde3g, bcfg, cdfg, bcd2fg, abcefg, acdefg, bce2fg, cde2fg, bcd2e2fg, abce3fg, acde3fg, h, ach, b2ch, bcdh, cd2h, cd3h, aceh, abcdeh, ce2h, bcde2h, cd2e2h, bcd3e2h, ace3h, abcde3h, acd2e3h, abcfh, acdfh, abcd2fh, bcefh, cdefh, bcd2efh, ad3efh, abce2fh, acde2fh, abcd2e2fh, bce3fh, cde3fh, bcd2e3fh, gh, ab2gh, acgh, abdgh, ad2gh, egh, bdegh, ae2gh, abde2gh, ad2e2gh, e3gh, bde3gh, d2e3gh, bfgh, dfgh, bd2fgh, abefgh, adefgh, be2fgh, de2fgh, bd2e2fgh, abe3fgh, ade3fgh}

Phi = 1 a 1 a b ab b 1 a 1 ab b ab c ac c b ab b ac c ac ab d ad b2 e ae b f af g h ah bc

Monoid Structure

Idempotent  |G|  |Arch|
188
b23232
d4 *8616
e26496
acg88
ab2cg3232
ace2g6496