#Density : 4290732689772492767579298899/12000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {26, 46, 37, 57, 67}
Number of terms              : 5


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 1
Number of flags    : 2
Matrix dimension   : 2

Flags :
F1 : {}
F2 : {01}

Basis :
B1 : (F1)
B2 : (F2)

Matrix :
0/1 0/1
0/1 0/1


--- Term 2 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 8
Matrix dimension   : 6

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 : (F2)+(F3)
B3 : (F4)
B4 : (F5)
B5 : (F6)+(F7)
B6 : (F8)

Matrix :
178780527426443074868648093/500000000000000000000000000 14119993142464884106164397/125000000000000000000000000 -1489823883008680585917331/250000000000000000000000000 63206375787469905391448967/250000000000000000000000000 -25790962685084770906170661/250000000000000000000000000 -368143299500930212698965213/500000000000000000000000000
14119993142464884106164397/125000000000000000000000000 146959952424659698598695387/1000000000000000000000000000 -3325462613355691580919587/40000000000000000000000000 4781351163358544919401601/500000000000000000000000000 -21844872203717225317962023/1000000000000000000000000000 -51773314701512098719902197/200000000000000000000000000
-1489823883008680585917331/250000000000000000000000000 -3325462613355691580919587/40000000000000000000000000 426024236117304104275436301/1000000000000000000000000000 -19740982543742726454609309/125000000000000000000000000 -13408685929037267447314301/1000000000000000000000000000 49238905264496587831887999/1000000000000000000000000000
63206375787469905391448967/250000000000000000000000000 4781351163358544919401601/500000000000000000000000000 -19740982543742726454609309/125000000000000000000000000 269249393429509558514966943/500000000000000000000000000 -26238706349710818467118399/500000000000000000000000000 -14265815433049363912833387/25000000000000000000000000
-25790962685084770906170661/250000000000000000000000000 -21844872203717225317962023/1000000000000000000000000000 -13408685929037267447314301/1000000000000000000000000000 -26238706349710818467118399/500000000000000000000000000 64075120123353223106200219/1000000000000000000000000000 25718458318833060042869393/200000000000000000000000000
-368143299500930212698965213/500000000000000000000000000 -51773314701512098719902197/200000000000000000000000000 49238905264496587831887999/1000000000000000000000000000 -14265815433049363912833387/25000000000000000000000000 25718458318833060042869393/200000000000000000000000000 1721034265903161621915524223/1000000000000000000000000000


--- 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 : (F2)-(F1)
B2 : (F4)-(F3)

Matrix :
82698094084905656287042817/250000000000000000000000000 228997859589892696081089/6250000000000000000000000
228997859589892696081089/6250000000000000000000000 156990969464404007511440039/250000000000000000000000000


--- Term 4 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 8
Matrix dimension   : 6

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 : (F2)+(F3)
B3 : (F4)
B4 : (F5)
B5 : (F6)+(F7)
B6 : (F8)

Matrix :
98735281084237711836764053/500000000000000000000000000 -44858580667105684851429621/1000000000000000000000000000 12216255826854417939782373/1000000000000000000000000000 -32562209662780068094237629/500000000000000000000000000 11284071875995211166934157/200000000000000000000000000 -3297157241033631841041317/40000000000000000000000000
-44858580667105684851429621/1000000000000000000000000000 537839775533771252861200861/1000000000000000000000000000 63984425047667267436175021/1000000000000000000000000000 87686300805603243104041279/1000000000000000000000000000 -687990364556660209376984109/1000000000000000000000000000 -12233976442533716328381267/1000000000000000000000000000
12216255826854417939782373/1000000000000000000000000000 63984425047667267436175021/1000000000000000000000000000 23419457452145472740124337/1000000000000000000000000000 50178375712155990690967573/1000000000000000000000000000 -16542622602568610536845309/200000000000000000000000000 -3064277964876353276469039/40000000000000000000000000
-32562209662780068094237629/500000000000000000000000000 87686300805603243104041279/1000000000000000000000000000 50178375712155990690967573/1000000000000000000000000000 90759177360027817804303873/250000000000000000000000000 -22868662484422858705591683/200000000000000000000000000 -38191409264172031872817731/200000000000000000000000000
11284071875995211166934157/200000000000000000000000000 -687990364556660209376984109/1000000000000000000000000000 -16542622602568610536845309/200000000000000000000000000 -22868662484422858705591683/200000000000000000000000000 880106448345337748158411907/1000000000000000000000000000 19766175410034669935048831/1000000000000000000000000000
-3297157241033631841041317/40000000000000000000000000 -12233976442533716328381267/1000000000000000000000000000 -3064277964876353276469039/40000000000000000000000000 -38191409264172031872817731/200000000000000000000000000 19766175410034669935048831/1000000000000000000000000000 357561054611336537934453023/1000000000000000000000000000


--- 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 : (F2)-(F1)
B2 : (F4)-(F3)

Matrix :
741171092314398575410258929/1000000000000000000000000000 -21581611020880130200597461/25000000000000000000000000
-21581611020880130200597461/25000000000000000000000000 628418915802777537071049/625000000000000000000000

