#Density : 235699911327056618723574879/800000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 46, 37, 57}
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 :
147312442988126435856192359/500000000000000000000000000 -166463060209070428339045231/500000000000000000000000000 908832396904243608076827/250000000000000000000000000 61959571866379557620664863/250000000000000000000000000 95639376617589794130157133/500000000000000000000000000 -7502310362250930244533469/31250000000000000000000000
-166463060209070428339045231/500000000000000000000000000 1133938034363327522238018259/1000000000000000000000000000 -163527811449397662095572767/200000000000000000000000000 -520530348632078412000993329/500000000000000000000000000 -225363410308814189880013379/1000000000000000000000000000 3367098179293196309722771/100000000000000000000000000
908832396904243608076827/250000000000000000000000000 -163527811449397662095572767/200000000000000000000000000 873484709611135521059483589/1000000000000000000000000000 410051015416534835866997589/500000000000000000000000000 12257425378238331558505839/1000000000000000000000000000 126074099409152906447089491/500000000000000000000000000
61959571866379557620664863/250000000000000000000000000 -520530348632078412000993329/500000000000000000000000000 410051015416534835866997589/500000000000000000000000000 60798181404952500039903091/62500000000000000000000000 85080902078700018834657679/500000000000000000000000000 183442625098702458826189/5000000000000000000000000
95639376617589794130157133/500000000000000000000000000 -225363410308814189880013379/1000000000000000000000000000 12257425378238331558505839/1000000000000000000000000000 85080902078700018834657679/500000000000000000000000000 141665877991473725957438719/1000000000000000000000000000 -15297199121577618825349013/100000000000000000000000000
-7502310362250930244533469/31250000000000000000000000 3367098179293196309722771/100000000000000000000000000 126074099409152906447089491/500000000000000000000000000 183442625098702458826189/5000000000000000000000000 -15297199121577618825349013/100000000000000000000000000 1350674113326974117748191/5000000000000000000000000


--- 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 :
0/1 0/1
0/1 27610583/500000000


--- 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 :
132917681867054155912437017/62500000000000000000000000 -21414817705081361422761161/50000000000000000000000000 37676794636751327735696877/100000000000000000000000000 -535082703157388481737015469/500000000000000000000000000 -607760596864409593635104103/500000000000000000000000000 -248950831583676746015240957/500000000000000000000000000
-21414817705081361422761161/50000000000000000000000000 81385712916569742002380547/250000000000000000000000000 61404742945292157148917729/250000000000000000000000000 -14357993121979619939636463/250000000000000000000000000 48927900550999673721713679/250000000000000000000000000 14917954691599579937893903/50000000000000000000000000
37676794636751327735696877/100000000000000000000000000 61404742945292157148917729/250000000000000000000000000 107156182324419212532621543/200000000000000000000000000 -587806142336651861473635999/1000000000000000000000000000 -286953586922221430446597041/1000000000000000000000000000 200778009555751992813690417/1000000000000000000000000000
-535082703157388481737015469/500000000000000000000000000 -14357993121979619939636463/250000000000000000000000000 -587806142336651861473635999/1000000000000000000000000000 35064159974558752804810107/40000000000000000000000000 134491559908958271383608737/200000000000000000000000000 5194975463105973051792171/1000000000000000000000000000
-607760596864409593635104103/500000000000000000000000000 48927900550999673721713679/250000000000000000000000000 -286953586922221430446597041/1000000000000000000000000000 134491559908958271383608737/200000000000000000000000000 705672911258131492702570203/1000000000000000000000000000 48091679156304222274317393/200000000000000000000000000
-248950831583676746015240957/500000000000000000000000000 14917954691599579937893903/50000000000000000000000000 200778009555751992813690417/1000000000000000000000000000 5194975463105973051792171/1000000000000000000000000000 48091679156304222274317393/200000000000000000000000000 294624886160479881024945131/1000000000000000000000000000


--- 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 :
12283680819344326015159039/200000000000000000000000000 -559489893244275110951997/50000000000000000000000000
-559489893244275110951997/50000000000000000000000000 217497671674437689380362689/1000000000000000000000000000

