#Density : 1511477094722050471305371283/4000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 45, 26, 46}
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 :
188934635927415949586734627/500000000000000000000000000 1344134539213837760128751/125000000000000000000000000 -5421713099423385760604423/62500000000000000000000000 -29985362300252158092997909/100000000000000000000000000 18307621203160081233472649/500000000000000000000000000 -28379945534638008253929969/500000000000000000000000000
1344134539213837760128751/125000000000000000000000000 5814902193984548223340079/250000000000000000000000000 3113765040130042618287373/125000000000000000000000000 -181573975612415469117992351/1000000000000000000000000000 97851325920690587112846899/1000000000000000000000000000 -7882432341757542404244477/1000000000000000000000000000
-5421713099423385760604423/62500000000000000000000000 3113765040130042618287373/125000000000000000000000000 3098597489021151042405887/12500000000000000000000000 -68781614800214431291585483/500000000000000000000000000 53533465751245202924700239/500000000000000000000000000 -8822983283465165506049549/100000000000000000000000000
-29985362300252158092997909/100000000000000000000000000 -181573975612415469117992351/1000000000000000000000000000 -68781614800214431291585483/500000000000000000000000000 1542454287990345733651682459/1000000000000000000000000000 -758875030661605010625289403/1000000000000000000000000000 92287910470265940611584749/1000000000000000000000000000
18307621203160081233472649/500000000000000000000000000 97851325920690587112846899/1000000000000000000000000000 53533465751245202924700239/500000000000000000000000000 -758875030661605010625289403/1000000000000000000000000000 411852111766944394137854107/1000000000000000000000000000 -31932630678372608354997029/1000000000000000000000000000
-28379945534638008253929969/500000000000000000000000000 -7882432341757542404244477/1000000000000000000000000000 -8822983283465165506049549/100000000000000000000000000 92287910470265940611584749/1000000000000000000000000000 -31932630678372608354997029/1000000000000000000000000000 46390598217793984490600443/200000000000000000000000000


--- 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 :
398741866771605238305707643/250000000000000000000000000 -257196453149389401028996209/250000000000000000000000000
-257196453149389401028996209/250000000000000000000000000 165896839597523443127517267/250000000000000000000000000


--- 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 :
681749038899002532170312269/1000000000000000000000000000 -470717062838191319029563787/1000000000000000000000000000 -172036768991406336920161869/1000000000000000000000000000 191595650449001456347315003/500000000000000000000000000 95150860646320208340052113/500000000000000000000000000 -184765635273985917503547841/1000000000000000000000000000
-470717062838191319029563787/1000000000000000000000000000 85971608021594880591798259/250000000000000000000000000 133596212673288851258907383/1000000000000000000000000000 -3888216187476606772003127/15625000000000000000000000 -123798569613075114727924661/1000000000000000000000000000 11107188756481162368018207/200000000000000000000000000
-172036768991406336920161869/1000000000000000000000000000 133596212673288851258907383/1000000000000000000000000000 339390492514413126958697389/1000000000000000000000000000 -96505566219254440378503851/500000000000000000000000000 -45837126349235410059213707/500000000000000000000000000 -9899839072028975086114559/1000000000000000000000000000
191595650449001456347315003/500000000000000000000000000 -3888216187476606772003127/15625000000000000000000000 -96505566219254440378503851/500000000000000000000000000 34657770893018353974786411/62500000000000000000000000 20619838994790549866930303/500000000000000000000000000 -655516464686296543001323/4000000000000000000000000
95150860646320208340052113/500000000000000000000000000 -123798569613075114727924661/1000000000000000000000000000 -45837126349235410059213707/500000000000000000000000000 20619838994790549866930303/500000000000000000000000000 29898914037637378627801073/200000000000000000000000000 -40281089986406298910528589/500000000000000000000000000
-184765635273985917503547841/1000000000000000000000000000 11107188756481162368018207/200000000000000000000000000 -9899839072028975086114559/1000000000000000000000000000 -655516464686296543001323/4000000000000000000000000 -40281089986406298910528589/500000000000000000000000000 324965731398955151819753917/1000000000000000000000000000


--- 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 :
165896839655026872102620997/250000000000000000000000000 -142012384473867687307852233/500000000000000000000000000
-142012384473867687307852233/500000000000000000000000000 138457975207247001373216353/250000000000000000000000000

