#Density : 12/25

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 45, 26, 46, 37, 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 :
56097/4000000


--- 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 : (F1)
B2 : (F4)
B3 : 2(F2)+2(F3)-6(F5)+(F6)+(F7)+(F8)
B4 : 2(F2)+2(F3)+(F5)-6(F6)-6(F7)+(F8)
B5 : 2(F2)+2(F3)+(F5)+(F6)+(F7)-6(F8)

Matrix :
54969/250000 -83933/500000 1289/700000 -206117/7000000 20323/7000000
-83933/500000 402419/1000000 1277/437500 3201/250000 929/1750000
1289/700000 1277/437500 134763/1960000 965977/49000000 2970329/49000000
-206117/7000000 3201/250000 965977/49000000 523928439/27685000000 123298369/6921250000
20323/7000000 929/1750000 2970329/49000000 123298369/6921250000 12919/218750


--- 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 :
20501/250000 -2291/1000000
-2291/1000000 139117/500000


--- 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 : 6(F1)-(F2)-(F3)-(F4)-2(F6)-2(F7)
B2 : (F1)-6(F2)-6(F3)+(F4)+2(F6)+2(F7)
B3 : (F1)+(F2)+(F3)-6(F4)+2(F6)+2(F7)
B4 : (F5)
B5 : (F8)

Matrix :
12919/218750 -218227/12250000 -839118607/13842500000 -929/1750000 -10161/3500000
-218227/12250000 463653/24500000 965977/49000000 89629/7000000 -206117/7000000
-839118607/13842500000 965977/49000000 134763/1960000 1277/437500 1289/700000
-929/1750000 89629/7000000 1277/437500 402419/1000000 -83933/500000
-10161/3500000 -206117/7000000 1289/700000 -83933/500000 54969/250000


--- 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 :
139117/500000 -2291/1000000
-2291/1000000 20501/250000

