#Density : 119950164229084316433515237/300000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 15, 45, 26, 46, 37}
Number of terms              : 5


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 1
Number of flags    : 2
Matrix dimension   : 2

Flags :
F1 : {}
F2 : {01}

Basis :
B1 : (F1)
B2 : (F2)

Matrix :
0/1 0/1
0/1 0/1


--- Term 2 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 8
Matrix dimension   : 6

Flags :
F1 : {}
F2 : {02}
F3 : {13}
F4 : {02, 13}
F5 : {23}
F6 : {02, 23}
F7 : {13, 23}
F8 : {02, 13, 23}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)
B4 : (F5)
B5 : (F6)+(F7)
B6 : (F8)

Matrix :
140066935762875421292501817/1000000000000000000000000000 4945099155791872058954497/25000000000000000000000000 -100866350413359763241707369/200000000000000000000000000 -76030206913167161363654897/250000000000000000000000000 44474537483800213349026999/1000000000000000000000000000 2680524243603748012117143/25000000000000000000000000
4945099155791872058954497/25000000000000000000000000 1028159377975988673210670777/1000000000000000000000000000 -693822498691963301814474783/500000000000000000000000000 25980334752559820556917161/500000000000000000000000000 -131783565499886691818796551/500000000000000000000000000 38893612624905208661506981/250000000000000000000000000
-100866350413359763241707369/200000000000000000000000000 -693822498691963301814474783/500000000000000000000000000 2425141606186754853737313653/1000000000000000000000000000 82597239955039581741788693/125000000000000000000000000 134247500849508255640682881/1000000000000000000000000000 -24363346069760736342914687/62500000000000000000000000
-76030206913167161363654897/250000000000000000000000000 25980334752559820556917161/500000000000000000000000000 82597239955039581741788693/125000000000000000000000000 242465279419872085151091741/250000000000000000000000000 -38300472609238794389726361/125000000000000000000000000 -28766491154601128481710647/125000000000000000000000000
44474537483800213349026999/1000000000000000000000000000 -131783565499886691818796551/500000000000000000000000000 134247500849508255640682881/1000000000000000000000000000 -38300472609238794389726361/125000000000000000000000000 6254915906789328663797157/40000000000000000000000000 2014613447614290479213131/62500000000000000000000000
2680524243603748012117143/25000000000000000000000000 38893612624905208661506981/250000000000000000000000000 -24363346069760736342914687/62500000000000000000000000 -28766491154601128481710647/125000000000000000000000000 2014613447614290479213131/62500000000000000000000000 5131281932817932783514693/62500000000000000000000000


--- Term 3 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 2

Flags :
F1 : {02}
F2 : {13}
F3 : {02, 23}
F4 : {13, 23}

Basis :
B1 : (F2)-(F1)
B2 : (F4)-(F3)

Matrix :
42667871291842613080245659/250000000000000000000000000 -44031660469543563404193627/125000000000000000000000000
-44031660469543563404193627/125000000000000000000000000 45439040313122654693378331/62500000000000000000000000


--- Term 4 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 8
Matrix dimension   : 6

Flags :
F1 : {01}
F2 : {01, 02}
F3 : {01, 13}
F4 : {01, 02, 13}
F5 : {01, 23}
F6 : {01, 02, 23}
F7 : {01, 13, 23}
F8 : {01, 02, 13, 23}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)
B4 : (F5)
B5 : (F6)+(F7)
B6 : (F8)

Matrix :
318963140575299805441369449/500000000000000000000000000 13917516561065412587351697/500000000000000000000000000 -451051700376139784519756969/500000000000000000000000000 -159382088220613914017646659/500000000000000000000000000 26473904081570980320231251/500000000000000000000000000 9524737461706393468792971/31250000000000000000000000
13917516561065412587351697/500000000000000000000000000 2310392257953941336463081/500000000000000000000000000 -19314182520671668527184217/500000000000000000000000000 7329777678920989921372873/500000000000000000000000000 -17859840713992042794136417/500000000000000000000000000 880267955106087349712133/31250000000000000000000000
-451051700376139784519756969/500000000000000000000000000 -19314182520671668527184217/500000000000000000000000000 672897151994380804817550309/500000000000000000000000000 406343967122047063785893989/500000000000000000000000000 -158096646881700113964777481/500000000000000000000000000 -1060321232876316543792101/1953125000000000000000000
-159382088220613914017646659/500000000000000000000000000 7329777678920989921372873/500000000000000000000000000 406343967122047063785893989/500000000000000000000000000 69005160717665435155794629/31250000000000000000000000 -382753178580962171653639963/250000000000000000000000000 -38301248939172234104420887/62500000000000000000000000
26473904081570980320231251/500000000000000000000000000 -17859840713992042794136417/500000000000000000000000000 -158096646881700113964777481/500000000000000000000000000 -382753178580962171653639963/250000000000000000000000000 75368511589893898763168383/62500000000000000000000000 15173569587707563984218433/62500000000000000000000000
9524737461706393468792971/31250000000000000000000000 880267955106087349712133/31250000000000000000000000 -1060321232876316543792101/1953125000000000000000000 -38301248939172234104420887/62500000000000000000000000 15173569587707563984218433/62500000000000000000000000 12494808643457567391537549/31250000000000000000000000


--- Term 5 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 2

Flags :
F1 : {01, 02}
F2 : {01, 13}
F3 : {01, 02, 23}
F4 : {01, 13, 23}

Basis :
B1 : (F2)-(F1)
B2 : (F4)-(F3)

Matrix :
666845078341463471813759/488281250000000000000000 1495451139673070530147769/1953125000000000000000000
1495451139673070530147769/1953125000000000000000000 3353663667596766552265679/7812500000000000000000000

