Details Page for 0.3146

Complete Solution is Known:

Period:  
Preperiod:  
Quotient Size:   1026
P-Portion Size:   2
Tame?   Yes

MSV File: q-0.3146.msv

Growth Pattern:

Heap   Q-Size   P-Size
121
262
11102
17182
58342
135662
4911302
13512582
30875142
874710262

(Click on a heap to see details)

Details for Q491(0.3146):

Q = <a,b,c,d,e,f,g | a2=1, b3=b, b2c=c, c2=b2, b2d=d, d2=b2, b2e=e, e2=b2, b2f=f, f2=b2, b2g=g, g2=b2>

P = {a, b2}

Phi = 1 a b b2 ab2 b a b ab ab2 b c ac c ac bc abc d ad b ab2 ab b ab2 b ab2 cd b ac abc c ac bc ac d ad d ab2 b abd ab2 b cd b cd ac bc cd c bc ac bc abc d b d b ab e b cd acd cd bc abcd abc bc ac d abd c b bd b ab e b cd abcd cd acd bcd bc abc e abe abd d ad d abe ab e abe b bcd cd acd cd bce abc abe ac ad d ad d bd e de abe e acd cd acd cd abcd ace de e ad ac d ad bd abe de e abe ab2 cd bc cd acd bcde f abde abe b ab2 d ad bc e f abc abe cd acd cd acd abcd b f de ad ab2 d ad e bcf bde be abe ac bc cd acd abcd b f ade b d b d cf abe bcf ade abcde c ac cd ace b ce b ade ad ab2 d ad cf f af acf c cd ac cd abe ab2 b ab2 ace ade ab2 d ade adf ac be c ac cd acd f abcd ab2 abcd b ab2 bce ab2 de ad acf abcf e c abc c bcde f abf af f cdf ab2 ace ab2 b abde ade acf c abc abe c bc cde f af f af b ab2 bde b cf ef ade cf df bc c abc ac acde bcde b f af ab2 ade de abcf abe cf acf cf ac abcd acde c ef acde af ab2 f cdf de ade b ade acf abcd cf bcd bc acde c abe abdf af b e abe de ade abe acd bde bc bcd abcd cf bdf acde bdf abdf abf ab2 bcde abd f abe bcdf abcd ade abcd acf cd abdf c bce acde ef bd abd b abe f e bcdf bcf abcf acef cef acd abcd c bdf acde bdf abdf bdef abe e abe e abcd abe bcdf bcef acf abcd c bcde ce ace abdf ef abdf acde e abe e abe abcdf bcdf cdf c abcd c ce ace abce bcde acf abdf abe abd e abe e abe abcdf bcd cd cdf cd ce abdf ce abdf abf b df e abd e ae abe e abcd cdf bcef cd ce ace abce abf bdf d df e abe e abe be e cd cdf acd acef bf ce bce ade df adf bdf aef abe ac e ae e cdf abcd bcef cde bce abcef acef bdef df bde ade abcf abd bd abe ae be abe abcde cd acde abcef abf af f bde de ade ad ef abcdef be abcf abcdf cde bcde abcd abcde bcde f af g ag bde de b de cf bg acf abcf bcde acde bcde abg acde f af f abf adef de ade cf bcdef bg acf bcf bcde bcdef bcde abce g f af f ade aef ade ef g abg bcdef ag cdef bcde acde cde acde abcg abg af f def bde ade de abe abcf bcdef g cdef bcde cde acde abcde acde bcde bdf f bf abe de ade de b g acef abce abdf c acde bcde cde bcde bdf af abdef abde de ade de ade g bcdef abcdef cd acde acf abdf acde bcde e abe abf f de ade abg ade bcef ac g abcf bce bcde cde df acg af abe g abf be g ade abcdf ade bcf ce acef cef cg abdf cde bdf bcdg abe d f g bg abe bcef acdf bdg ag bce ce ace abce abdf adf abdf abe e abdg abe ag b abcdf bcdf abcdf ce bcef abce abcg bce adf aef df abe e be e ade ag abcdf acef ce acdf abce ce bcg cg df aef adf bdf abe ae abe e g aeg abcdf ce abce acef bcef bf ce bdf adf df abe adf e adg aeg cdf acdf abcdf abcef abcdf acef af abce af bcg de df ef bdf be abe acdef cdef aeg abcdf acdf abcef ace ce f ace f de beg aef g abdf e abe acde abcdef acde bcdef bcdg cef acef bf cdg f af abdf bdg abg dg be abe be acf dg acde abceg cde abce af f abdef acdg de deg dg g abe g d abcf acdef acg bceg bcg acg af bf f abf de eg abdef g abg dg abcdef acdef cf acf eg bceg acg abceg af f bf ade abdef ade abde g bdg cef cf acde cf acde bcg cg abcdeg abceg def f af ade abe g abg ad acdef abcdef abcde abcf bcde acde cg bcd af abceg bde abf ade de g acef abcdf abdg abcdef acde abcde cde acde cg bcg cdg be acdeg ade de ade de ag d acef deg cdf acde acdef cg cde adf abe abc fg bfg g ade de acfg bg abcef acdf abdfg abcdg bcg cde acde adf abe e be abdg af bf de ade abcdf bcdf acdf bcef bcg acde acdg acde ceg abe e abe bdf afg adg ag adg abcdf ace abce cf abce cdg bcg acdg ef e abe bdf abe bdg g ag adg abcef cdf b bce abcdef bcg acg bceg abcdeg abdf abe e df g ag abg adg cef cdf acdf bcdf bce cdg acg cg e ef e abe adf g abg adg aeg bcdfg ace d ce cdf bcg acg cdg bcdeg aef adf abe bdf bg g ag abcdef aeg abcdf ce ace abce cdf bcg def ac adef ef adf bdf ef ag abcf cfg acf bcf abcdf abce cef abcdf ade bcg aceg adfg adf be abe ag dg abcdef bcde acf abce cdf bce acg cef acg f af adf adef bdf bg abdg abg acdef abcde acde acf abdeg abcdg bcdfg acg bcg ade de ade abe af bg abg dg abg bcde bcdef acf aefg bcdg acdg bcdg acg ade bde f af def abg g ag abdg acdef abcf acdg acde acfg acdg bcdg ceg ade abde abfg f af befg g bg eg bcdef acde acf bcf cf cg abcdg ceg abceg ade de f af abg g abdg acde bcde acde cde cf acde bcg be acdg ef ceg de af bf bde dg adg bcfg abcdf cde cf bcf cdef acfg bcg ef acdeg ade bf ade bde af bdg adg bdg ace acdef acde cf acde cg be e abdf abdef f af fg aeg ce abcdf dg cef cdf befg acf cdg e cdg abe bef bdefg bdf f abde bg bdg ace abce cef bce cdf cdg bcfg cdg ae abe abdf be af df adf dg abcefg abcdf bce abce bce cdfg cdf bcg acdg abe ae be f af df af adg abdeg abce cdf ce abcdf cfg bcdfg bcg abcg be ae be df adf df abfg adg bdeg adefg abdefg bce cdf de bcdf abcdf aceg bcdg e be e adf ef ag bg ag befg acdef ace cdf abcf acdf bcg acdg abe acdeg e abe adf bdf adf bg dg deg adeg acf cdf bcdf cdf abde cdg cg af abe bdf ef df adf g abcde abce ace ce cf bcdf abcdf bde cg abde ade af abf af abdf abg bcde abcde cde bcde bcf acf cf cfg abcdeg abde bcg abcdeg f ade af abdf acde abcde cde bcde acdfg cf acf bcdf acfg abcg bde de bf ade f bdf ag acde g acde bcde abcde acf bcf abcefg bcfg bde de ade bf af bde f af dfg bcde cde abcde cde cf abcf abcdf bcg abceg ade abcg ade abde f af abcd adg cde beg acde cf acf cf abceg cdg ceg bceg bde

Monoid Structure

Idempotent  |G|  |Arch|
122
b2 *128128