#Density : 32/81

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 15, 26, 46, 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 : 4(F1)-5(F2)

Matrix :
25071172583597/16226624700000000


--- 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 : 10(F1)-6(F2)-6(F3)-3(F4)
B2 : 6(F1)+8(F2)+8(F3)-25(F4)
B3 : 10(F5)-6(F6)-6(F7)-3(F8)
B4 : 6(F5)+8(F6)+8(F7)-25(F8)

Matrix :
31326052376861201/4852121376960000000 -84201867071623607/24260606884800000000 21893/52562500 4879/16820000
-84201867071623607/24260606884800000000 95163559133703677/24260606884800000000 103519/210250000 -91633/841000000
21893/52562500 103519/210250000 382917362948161/16965459360000000 3186978913797119/758143965150000000
4879/16820000 -91633/841000000 3186978913797119/758143965150000000 11960703118683413/12130303442400000000


--- 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 :
284999/1000000 -134109/1000000
-134109/1000000 1778333/4000000


--- Term 4 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 8
Matrix dimension   : 3

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 : 126(F1)+52(F2)+52(F3)-293(F4)-48(F5)+52(F6)+52(F7)-32(F8)
B2 : 36(F1)-39(F2)-39(F3)+24(F4)+94(F5)-39(F6)-39(F7)-63(F8)
B3 : 48(F1)-52(F2)-52(F3)+32(F4)-126(F5)-52(F6)-52(F7)+293(F8)

Matrix :
7392319987999/788469723756000000 229139/7106450000 604037/71064500000
229139/7106450000 7040223/35532250000 490793/14212900000
604037/71064500000 490793/14212900000 54767323231/5437722232800000


--- Term 5 ---

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

Flags :
F1 : {01, 02}
F2 : {01, 13}
F3 : {01, 02, 23}
F4 : {01, 13, 23}

Basis :
B1 : (F1)-(F2)+(F3)-(F4)

Matrix :
1778333/4000000

