#Density : 1068598082390165344486769347/2000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {26, 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 :
66787379742081071601712197/125000000000000000000000000 -6884304999127997377079709/100000000000000000000000000 244718872709778630288850761/500000000000000000000000000 -242073598045567725570701283/500000000000000000000000000 -259619629687523622408664767/500000000000000000000000000 -276160664852680545019673679/500000000000000000000000000
-6884304999127997377079709/100000000000000000000000000 1087141170160265683218429139/1000000000000000000000000000 -325663242388627196380911047/1000000000000000000000000000 -151735387928644911779244139/1000000000000000000000000000 -518902269520071909595516951/1000000000000000000000000000 -48224065244393305962167837/1000000000000000000000000000
244718872709778630288850761/500000000000000000000000000 -325663242388627196380911047/1000000000000000000000000000 769400306608741628523378763/1000000000000000000000000000 -391351191198264765508216561/1000000000000000000000000000 -332976397107810955525119349/1000000000000000000000000000 -95374192017007182983574163/200000000000000000000000000
-242073598045567725570701283/500000000000000000000000000 -151735387928644911779244139/1000000000000000000000000000 -391351191198264765508216561/1000000000000000000000000000 481220801065040030507802547/1000000000000000000000000000 586826586684455668826899903/1000000000000000000000000000 20967416870860375877941829/40000000000000000000000000
-259619629687523622408664767/500000000000000000000000000 -518902269520071909595516951/1000000000000000000000000000 -332976397107810955525119349/1000000000000000000000000000 586826586684455668826899903/1000000000000000000000000000 822861067117929539496932347/1000000000000000000000000000 120323113785917149962136669/200000000000000000000000000
-276160664852680545019673679/500000000000000000000000000 -48224065244393305962167837/1000000000000000000000000000 -95374192017007182983574163/200000000000000000000000000 20967416870860375877941829/40000000000000000000000000 120323113785917149962136669/200000000000000000000000000 116834128931623602443932691/200000000000000000000000000


--- 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 :
514506210114287151721863/312500000000000000000000 -1335858269408648670494061/1562500000000000000000000
-1335858269408648670494061/1562500000000000000000000 3468407729327650548596367/7812500000000000000000000


--- 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 :
1499972815888462101181513669/500000000000000000000000000 -71070637329636904697258863/1000000000000000000000000000 848161947827069185447658327/1000000000000000000000000000 133344745836958605463194261/500000000000000000000000000 -907366144051010285943441207/500000000000000000000000000 -323258362211708254037348727/500000000000000000000000000
-71070637329636904697258863/1000000000000000000000000000 20731806326976036546502219/200000000000000000000000000 -320787988685709205657120051/1000000000000000000000000000 -62395450494899564938861161/1000000000000000000000000000 33408239893389642848603487/1000000000000000000000000000 199390151896602552077787963/1000000000000000000000000000
848161947827069185447658327/1000000000000000000000000000 -320787988685709205657120051/1000000000000000000000000000 22529092959944827779535423/20000000000000000000000000 60188839331531737964446743/250000000000000000000000000 -4848114604607103724662123/10000000000000000000000000 -145112992153707120982541733/200000000000000000000000000
133344745836958605463194261/500000000000000000000000000 -62395450494899564938861161/1000000000000000000000000000 60188839331531737964446743/250000000000000000000000000 10094580859227177373855809/40000000000000000000000000 -156055952427050184610349199/1000000000000000000000000000 -39674598428297719583146737/250000000000000000000000000
-907366144051010285943441207/500000000000000000000000000 33408239893389642848603487/1000000000000000000000000000 -4848114604607103724662123/10000000000000000000000000 -156055952427050184610349199/1000000000000000000000000000 43946868501393398817355953/40000000000000000000000000 3737922341394178954118661/10000000000000000000000000
-323258362211708254037348727/500000000000000000000000000 199390151896602552077787963/1000000000000000000000000000 -145112992153707120982541733/200000000000000000000000000 -39674598428297719583146737/250000000000000000000000000 3737922341394178954118661/10000000000000000000000000 235799295943743813094456047/500000000000000000000000000


--- 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 :
150939105606840928223842083/500000000000000000000000000 -38925483369535310226262617/100000000000000000000000000
-38925483369535310226262617/100000000000000000000000000 10038440664268105724862683/20000000000000000000000000

