#Density : 72/125

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 45, 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 : 2(F1)-3(F2)

Matrix :
612821/87781250


--- 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)-4(F4)+(F6)+(F7)
B3 : (F5)
B4 : 4(F1)+2(F4)-5(F6)-5(F7)
B5 : (F8)

Matrix :
19787/100000 719/450000 -90941/500000 26621/9000000 -11449/125000
719/450000 10160374903/56882250000 20927/562500 2614730381/91011600000 13477/300000
-90941/500000 20927/562500 837709/1000000 95309/9000000 -302663/1000000
26621/9000000 2614730381/91011600000 95309/9000000 70681/8100000 5191/1000000
-11449/125000 13477/300000 -302663/1000000 5191/1000000 61687/100000


--- 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 :
9742/15625 16189/100000
16189/100000 70681/100000


--- Term 4 ---

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

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 : (F6)+(F7)
B4 : (F2)+(F3)-4(F5)+6(F8)

Matrix :
103209/200000 -84573/500000 -26321/500000 -341361/13250000
-84573/500000 201509/250000 -165513/1000000 -612753/26500000
-26321/500000 -165513/1000000 109423/500000 -237141/13250000
-341361/13250000 -612753/26500000 -237141/13250000 5005179/351125000


--- 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 :
972806509/561800000 -26951/500000
-26951/500000 372049/500000

