#Density : 3/8

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 23, 04, 15, 46, 67}
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)-(F2)

Matrix :
101919/2000000


--- 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 : 5(F1)-(F4)-2(F6)-2(F7)
B2 : (F2)+(F3)
B3 : (F1)-5(F4)+2(F6)+2(F7)
B4 : (F5)
B5 : (F8)

Matrix :
633511/45000000 -55753/6000000 -3227461/360000000 1753/1000000 -31507/3000000
-55753/6000000 7797/62500 2617/6000000 -108713/1000000 -11271/250000
-3227461/360000000 2617/6000000 2222699/36000000 -47699/6000000 -30163/3000000
1753/1000000 -108713/1000000 -47699/6000000 95701/200000 -30793/200000
-31507/3000000 -11271/250000 -30163/3000000 -30793/200000 1659/5000


--- 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 :
55083/125000 132541/1000000
132541/1000000 8770771/10000000


--- 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 : 2(F2)+2(F3)-5(F5)+(F8)
B4 : (F6)+(F7)
B5 : 2(F2)+2(F3)+(F5)-5(F8)

Matrix :
1659/5000 -30793/200000 -30163/3000000 -11271/250000 31507/3000000
-30793/200000 95701/200000 -47699/6000000 -108713/1000000 -1753/1000000
-30163/3000000 -47699/6000000 2222699/36000000 2617/6000000 3227461/360000000
-11271/250000 -108713/1000000 2617/6000000 7797/62500 55753/6000000
31507/3000000 -1753/1000000 3227461/360000000 55753/6000000 633511/45000000


--- 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 :
8770771/10000000 132541/1000000
132541/1000000 55083/125000

