#Density : 540/1331

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 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 : 3(F1)-8(F2)

Matrix :
14332009349759/39764350395000000


--- 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 : 2367(F1)-1656(F2)-1656(F3)-5257(F4)+1101(F5)
B2 : 723(F1)+86(F2)+86(F3)+367(F4)-2031(F5)
B3 : (F6)+(F7)
B4 : (F8)

Matrix :
2802857/50055625000000 -1419090617293181849/28662183529066395000000000 27689/707500000 36441/884375000
-1419090617293181849/28662183529066395000000000 2359637694594261031/4777030588177732500000000 12837/884375000 211353/7075000000
27689/707500000 12837/884375000 58217/500000 -12167/200000
36441/884375000 211353/7075000000 -12167/200000 375451/1000000


--- 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 :
966402306279061/657261990000000 2303/500000
2303/500000 26401/50000


--- 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 : (F2)+(F3)
B2 : (F4)
B3 : 15(F1)-34(F5)+9(F8)
B4 : (F6)+(F7)
B5 : 15(F1)+9(F5)-34(F8)

Matrix :
22677/200000 -79201/1000000 -531/537500 -45941/1000000 17517/21500000
-79201/1000000 225883/500000 -43759/8600000 -40347/500000 5173/8600000
-531/537500 -43759/8600000 6086187303176779/3133137097174218750 149263/21500000 24986208177312433/75195290332181250000
-45941/1000000 -40347/500000 149263/21500000 131119/1000000 80709/43000000
17517/21500000 5173/8600000 24986208177312433/75195290332181250000 80709/43000000 171407/462250000


--- 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 :
426491/1000000 471/8000
471/8000 618479/1000000

