#Density : 4/9

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {26, 46, 37, 57}
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 :
9386/1378125


--- Term 2 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 8
Matrix dimension   : 4

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 : 2(F1)-4(F4)-(F6)-(F7)
B3 : (F5)
B4 : (F8)

Matrix :
173291/1000000 318119/5250000 -11551/200000 -29161/500000
318119/5250000 100519/918750 24197/210000 108419/5250000
-11551/200000 24197/210000 626649/1000000 -144357/1000000
-29161/500000 108419/5250000 -144357/1000000 400317/1000000


--- 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 :
229193/500000 -13099/1000000
-13099/1000000 342817/1000000


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

Matrix :
16139/40000 -46473/250000 -201887/1250000 -34031/1000000 -3563/40000
-46473/250000 314111/500000 218607/1250000 -134613/1000000 -4109/1000000
-201887/1250000 218607/1250000 237673/306250 -86743/1250000 264179/1250000
-34031/1000000 -134613/1000000 -86743/1250000 150399/1000000 -4733/100000
-3563/40000 -4109/1000000 264179/1250000 -4733/100000 174137/1000000


--- 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 :
342817/1000000 24217/250000
24217/250000 92489/200000

