Details Page for 0.3415

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   976
P-Portion Size:   61
Tame?   No

MSV File: q-0.3415.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
462
15123
37285
43567
539612
5819217
6497661

(Click on a heap to see details)

Details for Q64(0.3415):

Q = <a,b,c,d,e,f,g,h,i | a2=1, b3=b, bc2=b, c3=c, b2d=d, c2d=d, d4=acd3, e2=1, b2f=f, c2f=f, df=cd2, f3=cd3, b2cg=cg, c2g=b2g, g2=b2, b2h=h, c2h=h, d3h=acd3, f2h=acd2, dh2=acdh, fh2=adh, h3=ach2, b2i=i, c2i=i, d3i2=acd2i2, f2i2=d2i2, dhi2=acdi2, fhi2=adi2, h2i2=achi2, gi3=cei3, di4=aci4, fi4=ai4, hi4=aci4, i5=ei4>

P = {a, b2, ac, ac2, bcd, d2, acd3, ae, ace, ac2e, af, f2, ag, acg, abdg, d2eg, acd3eg, aefg, ef2g, ach, dh, acd2h, cfh, aegh, acd2egh, h2, cegh2, abei, acdei, abd2ei, bcd3ei, befi, abef2i, abd2gi, bcd3gi, bcegi, degi, bfgi, abf2gi, acehi, dehi, bcd2ehi, cefhi, ghi, acdghi, eh2i, acgh2i, i2, acdi2, d2i2, afi2, d2egi2, aefgi2, achi2, aeghi2, ei3, acdei3, abd2ei3, befi3, acehi3, i4}

Phi = 1 a 1 a b 1 a 1 ab b ab a b ab b c ac c ab ac c ac b ab b ab2 ab b ab b2 ab2 b2 b c ac c abc d ad ac bc abc bc e ae e b b2 f b2 ab b ab g abc bc abc b2c h b2c bc ab2c b2c ab2c i

Monoid Structure

Idempotent  |G|  |Arch|
144
b23236
c288
acd332256
h23264
i4 *16608