#Density : 4/9

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {04, 15, 26, 37}
Number of terms              : 5


--- Term 1 ---

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

Flags :
F1 : {}
F2 : {01}

Basis :
B1 : (F1)-2(F2)

Matrix :
433723/56250000


--- Term 2 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 8
Matrix dimension   : 5

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

Basis :
B1 : (F2)+(F3)
B2 : (F1)-2(F4)
B3 : (F5)
B4 : (F6)+(F7)
B5 : (F8)

Matrix :
92009/500000 8741/500000 -65573/500000 -32181/500000 -6353/200000
8741/500000 8188759/18750000 139853/2500000 10189/1250000 153763/2500000
-65573/500000 139853/2500000 668217/1000000 -42047/1000000 -6499/31250
-32181/500000 10189/1250000 -42047/1000000 73523/500000 -74611/1000000
-6353/200000 153763/2500000 -6499/31250 -74611/1000000 256203/500000


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

Matrix :
125837/250000 11633/500000
11633/500000 3863/8000


--- Term 4 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 8
Matrix dimension   : 5

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 : (F6)+(F7)
B5 : (F5)-2(F8)

Matrix :
458653/1000000 -59051/1000000 -4159/31250 -1591/50000 27563/625000
-59051/1000000 7291/50000 -9447/250000 -56021/1000000 6093/312500
-4159/31250 -9447/250000 155379/250000 -57951/500000 114773/2500000
-1591/50000 -56021/1000000 -57951/500000 93577/500000 69503/2500000
27563/625000 6093/312500 114773/2500000 69503/2500000 646253/6250000


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

Matrix :
58231/125000 10551/500000
10551/500000 273161/500000

