#Density : 553962708405024159862724543/2000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 04, 45, 26, 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 :
13025403493127327182892527/1000000000000000000000000000 -13025403493127327182892527/1000000000000000000000000000
-13025403493127327182892527/1000000000000000000000000000 13025403493127327182892527/1000000000000000000000000000


--- 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 :
65988986669574052128575859/250000000000000000000000000 -3943484860384536281802363/500000000000000000000000000 -151152046245278763035598777/250000000000000000000000000 145916965206984753987958431/500000000000000000000000000 39128214020549691621378573/250000000000000000000000000 28396411323162242418191949/100000000000000000000000000
-3943484860384536281802363/500000000000000000000000000 3552254963221432704721443/250000000000000000000000000 1938428813185163108300637/50000000000000000000000000 -10821690922771017045345567/1000000000000000000000000000 -3611111112276614317129323/100000000000000000000000000 -8916379685540843617019691/1000000000000000000000000000
-151152046245278763035598777/250000000000000000000000000 1938428813185163108300637/50000000000000000000000000 1026592916564642432892556749/500000000000000000000000000 -607048879251032229083073693/500000000000000000000000000 -168511747188488132431479423/250000000000000000000000000 -152727992652766178082990759/125000000000000000000000000
145916965206984753987958431/500000000000000000000000000 -10821690922771017045345567/1000000000000000000000000000 -607048879251032229083073693/500000000000000000000000000 817785816757833823316919429/1000000000000000000000000000 203312864147634694240429857/500000000000000000000000000 153286460406782547142621521/200000000000000000000000000
39128214020549691621378573/250000000000000000000000000 -3611111112276614317129323/100000000000000000000000000 -168511747188488132431479423/250000000000000000000000000 203312864147634694240429857/500000000000000000000000000 69245337416114200788597567/250000000000000000000000000 205054652476614057755019399/500000000000000000000000000
28396411323162242418191949/100000000000000000000000000 -8916379685540843617019691/1000000000000000000000000000 -152727992652766178082990759/125000000000000000000000000 153286460406782547142621521/200000000000000000000000000 205054652476614057755019399/500000000000000000000000000 849599368492367743112352921/1000000000000000000000000000


--- 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 :
56977896469936406158050073/250000000000000000000000000 56977896469936406158050073/250000000000000000000000000
56977896469936406158050073/250000000000000000000000000 56977896469936406158050073/250000000000000000000000000


--- 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 :
424799682201374756107710349/500000000000000000000000000 102527325852850230246482457/250000000000000000000000000 383216149385209737564298069/500000000000000000000000000 -305455984242076858992627429/250000000000000000000000000 -445818975284211276972791/50000000000000000000000000 35495514259884511757246101/125000000000000000000000000
102527325852850230246482457/250000000000000000000000000 276981350008109022618202801/1000000000000000000000000000 203312863862475329097055431/500000000000000000000000000 -168511746973433949924640639/250000000000000000000000000 -7222222270449098779325739/200000000000000000000000000 156512856505378873006675463/1000000000000000000000000000
383216149385209737564298069/500000000000000000000000000 203312863862475329097055431/500000000000000000000000000 16355716322917541191442969/20000000000000000000000000 -607048878570230990888946973/500000000000000000000000000 -541084543818469564601849/50000000000000000000000000 36479241501630258369943391/125000000000000000000000000
-305455984242076858992627429/250000000000000000000000000 -168511746973433949924640639/250000000000000000000000000 -607048878570230990888946973/500000000000000000000000000 2053185830322026404857088241/1000000000000000000000000000 38768576232534260258053803/1000000000000000000000000000 -604608186706388977011980327/1000000000000000000000000000
-445818975284211276972791/50000000000000000000000000 -7222222270449098779325739/200000000000000000000000000 -541084543818469564601849/50000000000000000000000000 38768576232534260258053803/1000000000000000000000000000 7104509982419488187718253/500000000000000000000000000 -3943484848597117974610691/500000000000000000000000000
35495514259884511757246101/125000000000000000000000000 156512856505378873006675463/1000000000000000000000000000 36479241501630258369943391/125000000000000000000000000 -604608186706388977011980327/1000000000000000000000000000 -3943484848597117974610691/500000000000000000000000000 131977973754121625489602061/500000000000000000000000000


--- 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 :
56977896469936406158050073/250000000000000000000000000 56977896469936406158050073/250000000000000000000000000
56977896469936406158050073/250000000000000000000000000 56977896469936406158050073/250000000000000000000000000

