Details Page for 0.3167

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1030
P-Portion Size:   3
Tame?   No

MSV File: q-0.3167.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
682
7122
9143
13223
52383
172703
5051343
11812623
41015183
1649810303

(Click on a heap to see details)

Details for Q505(0.3167):

Q = <a,b,c,d,e,f,g,h | a2=1, b3=b, bc=ab, c2=b2, cd=ab2d, d2=b2, b2e=e, ce=ae, e2=b2, b2f=f, cf=af, f2=b2, b2g=g, cg=ag, g2=b2, b2h=h, ch=ah, h2=b2>

P = {a, b2, ad}

Phi = 1 a b b2 b ab c b2d ab2d d ab bd b e ab2 ab ae b e bd b2d ab2d b2d ab2d ab2 ab b e abe ab2 abe be abd ab de e be b2d abe b e b ab2 ab2d abde ab2d bd ae bd de e ab2 f af b e ae b2d ab2d b2d f df abd b bf abe bde be b e bd ab2d abde ab2d b2d abe b e f ab2 abe ab2d df f b2d e bdf be bde af abf b ae abdf b2d ab2d b2d f ab abd e b ab2 af be e bd de bdf be b2d f af b bf ab abe af adf abde de bd b e be abe af bef e ae ef b2d ab2d f bdef ab ade bf abe b2d af f e bd de abde ab2d abde abe b e bf ef af aef f adf ae bd bdf def bde df af e ae abf b2d abef ab2d adf bdef g e abdf abe bde f e de bd bdf abd ab2d b2d abef b e ef g abe af bef ade g abde ab2d def abe af e ag b abf aef abde ab2d b2d bdef abd abdf abe be abef af f ab bd abf abde f b2d bdef g ag ef abe bef af bef ade g ade adef be adf bdef ag ae bf ef af abde f de g def abdf bg af abef af bef abf de b2d abde b2d bd df g adef be abe af f aeg de abdg aef bg bdef df bdef g ag ab aef abe dg f bde def ade abdf bg abg af ab b abf bdf bdg adeg abdef bdef g abeg adef abg bdef f bef abdg beg abdg abde abdef adf b2d g ag bf abdg adeg abef f af dfg bdf abde abg bg abef g f ab bf bdg abdg f abde df beg adef abdf eg bef f bef bdeg abf bdf abdf ab2d df bdef g adef bf adeg abdg bef ab2d dg g bdf bf abg df af ag aef adef abf bdg abdg adf b2d beg afg abdf abg e af f ae abeg abf adfg bdg adf bfg bdef g abdf abf abg af f dg adg aef bdf abdf abg adf af beg ef e aef bdg f abdef b2d bdf abdf adef bg af abef bef beg abf ef adfg deg adf df bdef ag bf abdg ae abe f dg g abf de eg adf df beg ag abdf bf bdg f bfg abde bdef bdf abdf aeg eg abfg abef bfg adg b bf bdg abdef ab2d efg g adef abg ae abef be f dg adfg abf de abdg bfg df g beg aef bg eg f bef abde dg def abdf ade eg abef bfg abe bf b abdg abd adf ab2d b2d bdf abdf aeg eg abef f be adg abdg abf ade h adf df bde bf befg ae deg af dg abdeg abdefg bdf abdf aeg bg abe ag abeg bf af abdg bdg ab2d df ab2d adef b ade bg af f bef bdeg abf bdg aeg abfg df bde ab2d ef e abf f be h beg dfg ade bdf aeg bfg abfg b2d bf ab ae bdg abdg defg adfg b2d abdf fg h bfg af f ab2d abdefg e abdg bdg bdef bde beg g afg fg af abfg abe h adg bdeg dfg abdf abdfg bfg abeg g fg abf ae adeg abfg h df adg def eg aeg bfg f bef bdeg abf ae h bdfg be bdef abh g abg dh af bef h bdeg dg dfg adef bdef abg abe abde ag b fg abdg f abdg adfg abdeg dfg bdefg h aeg beg efg f fg abf adg adeg bdg defg ah dfg adef h abh eg f bh abdh ae dfg adeg abdef abdfg abh aeh afg abefg fg abfg h bef beh adg adfg ade eh efg beg deh bh befg aeh abeh bdg abdg fh bdf fh ade abdeh dh bfg abfg eh bdh abdefg abdg bdfg abdg abdfg abh abeg g dh bdeh abeh abdg deg adeh adg bdefg abfh h efg abh dfh ag fg abf bdeh bdfg bdg ab2 abdefg abefg h abdeh bfg abfg ab2d eh bdefg ef abfh defg abdfg abe bh abdf g bd adh dh bef abdh befh ae dfg adef efg aefg abde afg ef fg af beh abdfg fh aeh abdefg def abdf efg bde beg adeh eh adfg bdeg h bdfg abdfg bdef afh ag abeg dh bfg abfg dfh af aeh abdeg b abdeh aefg abdef adeh abdh abeg ef dh h f fh gh dfg bdf abdeh bfg efg eh abdh abeg aef abe aefh abdfg abdef df bh abeg fg bfg bg bfg bef abh dfg abfh aefh bfh abg bdef eh afg abeg bdeh beh abef bdg adfg abdefg dfg ag abeh bfg bdef deh adeh bf bdf adh afh adeg aeh bdef adfg adef g bfg eg dfh befh aeh dfg aef beh abdfg adefg eg abfh ag fg g abe abfg bdg abdg dfg bdeg abdeh bdeh adeg abg bdh adefh befg abf abeh bdfg bdg aeh abdeg def ag dh bfg bg bdfh gh adgh def ef ah deg aeh befh agh fg g dh bfg bdefh deg adfg dg adef abeh adfh df af adeh abdfh aef bdfh abfg abdfg bdef bh abdeg bdefg beh bfg adeg abdef bg adeh abe abfh adg defg abdg degh gh defh g bdeh abdeh e abg abdh bdefg adg bdeg bgh befh bg aefg deh beg g bdgh abdh bef df bh adg abeg bgh degh bg eg abdh bdh g ah adefg bdg abdg bh aeh ag g dh dfh abg abdefh adefh aef ae abdf ah befh afh aeh abefg abf g bgh bfgh bdg deg bdefg dg bf beh bdgh abef abg deh adgh ag abdgh bef bdg abdg bh degh abeg bfh beg efg ab2d deh abegh adg e bgh befh abdg gh abh adef g beg bdeh aeg bdfg abdh aefh bdeg dg h abefgh eg bf abdh g beg egh bef abdef abdg agh bfh adg h abdgh abg eg abdh ef bdf dg ah bdg bg dgh abh beg g adh abfgh abg gh begh abfh dg bdeg eh adeg abg bfg abeg g bd abgh deg bdg adeg aefh bfh abdeg egh aefg bef bg abdh def adfg aegh befh bdg abdg bdegh adef bf g fg abg bg gh defh ae dg fh eh af aeg abfg g bd dfh degh deg abdg adeg adfg bdeg h bgh df abg adefh bdfh def bfgh bdgh deg bdg eh abh dg g afg bdef bef abg defh adg dg e befh bdef efgh dgh abdfh g beg bdefh abdefh ab2d abdg aefh dg bdeg abefh bdfgh abg eg abdfh beg def adfg adfh bdg ab2 abfh efh g beg befg abe aeg

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *128132