Details Page for 0.3135

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   4270
P-Portion Size:   861
Tame?   No

MSV File: q-0.3135.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
8144
10389
1310223
1426252
15646131
191438287
212542512
224270861

(Click on a heap to see details)

Details for Q19(0.3135):

Q = <a,b,c,d,e,f,g,h,i,j | a2=1, b3=b, b2c=c, c5=c4, b2d=d, c4d=ac4, d2=c4, b2e=e, c4e=bc4, c2e2=c2, e3=e, b2f=f, cf=ce, ef=e2, f2=e2, b2g=g, c4g=ac4, cg2=c, eg2=e, g4=g2, b2h=h, ch=bc2, fg2h=eh, eh2=c2e, g2h2=c2, h5=bh4, b2i=i, c4i=ac4, fg3i=fgi, fghi=eghi, gh3i=bc3gi, h4i=gh4, c2i2=c2, ei2=e, fi2=e, h3i2=bc3, ci3=ci, gh2i3=gh2i, i4=i2, b2j=j, c2j=c3, ej=ce, fhj=bfh2, h2j=bh3, g3ij=gij, g2i2j=i2j, cij2=c3i, hi2j2=bc3, cj3=c4, fj3=bfh3, hj3=bh4, i3j3=g2ij3, j4=h4>

P = {a, b2, c, c2, c3, c4, bd, acd, ac2d, ac3d, be, bce, bc2e, bc3e, ade, abc2de, abc3de, e2, ce2, bde2, acde2, bf, adf, g, acg, ac2g, ac3g, bdg, c2dg, c3dg, beg, bceg, abc2eg, abc3eg, deg, cdeg, bc3deg, e2g, ace2g, bde2g, bfg, dfg, g2, bdg2, bfg2, adfg2, g3, bdg3, bfg3, dfg3, bh, dh, eh, be2h, fh, bgh, egh, bdegh, be2gh, fgh, bdfgh, bg2h, bg3h, h2, bdh2, bfh2, gh2, bfgh2, bh3, dh3, fh3, bgh3, fgh3, h4, bdh4, bfh4, gh4, bfgh4, i, aci, ac2i, ac3i, bdi, bcdi, c3di, bei, bcei, abc2ei, abc3ei, dei, bc2dei, bc3dei, e2i, ace2i, bde2i, bcde2i, bfi, dfi, gi, cgi, c2gi, c3gi, bdgi, abcdgi, abc2dgi, begi, bcegi, bc2egi, bc3egi, degi, acdegi, abc3degi, e2gi, ce2gi, bde2gi, abcde2gi, bfgi, dfgi, g2i, bdg2i, bfg2i, dfg2i, g3i, bdg3i, bhi, dhi, ehi, be2hi, de2hi, fhi, bghi, adghi, eghi, abdeghi, be2ghi, ade2ghi, bg2hi, dg2hi, bg3hi, adg3hi, h2i, bfh2i, gh2i, abdgh2i, bh3i, fh3i, i2, ci2, bdi2, acdi2, gi2, acgi2, bdgi2, g2i2, bdg2i2, g3i2, bdg3i2, bhi2, dhi2, bghi2, bg2hi2, bg3hi2, h2i2, gh2i2, i3, bdi3, gi3, bdgi3, g2i3, bdg2i3, g3i3, bdg3i3, bhi3, dhi3, bghi3, adghi3, bg2hi3, dg2hi3, bg3hi3, adg3hi3, h2i3, j, cj, bdj, acdj, bfj, gj, acgj, bdgj, bfgj, dfgj, g2j, bdg2j, bfg2j, g3j, bdg3j, bfg3j, dfg3j, bhj, dhj, bghj, bg2hj, bg3hj, ij, acij, bdij, bfij, gij, cgij, bdgij, abcdgij, bfgij, adfgij, g2ij, bdg2ij, bfg2ij, bhij, bghij, adghij, bg2hij, i2j, ci2j, bdi2j, acdi2j, gi2j, acgi2j, bdgi2j, bhi2j, bghi2j, i3j, bdi3j, gi3j, bdgi3j, bhi3j, bghi3j, adghi3j, j2, cj2, bdj2, acdj2, bfj2, gj2, acgj2, bdgj2, bfgj2, g2j2, bdg2j2, bfg2j2, g3j2, bdg3j2, bfg3j2, bhj2, dhj2, bghj2, bg2hj2, bg3hj2, ij2, bfij2, gij2, adgij2, bfgij2, ag2ij2, bfg2ij2, bhij2, bghij2, bg2hij2, i2j2, adi2j2, agi2j2, ai3j2, gi3j2, adgi3j2, j3, bdj3, gj3, g2j3, adg2j3, ag3j3, ij3, gij3, adgij3, ag2ij3, dg2ij3, i2j3, adi2j3, agi2j3, dgi2j3}

Phi = 1 a b a b c b b2 d b2 e b2 f g h i b c b j d

Monoid Structure

Idempotent  |G|  |Arch|
122
b244
c4 *41276
e23260
g2812
h4436
i2812
g2i21636