#Density : 2466712841442723427587928693/6000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 26, 37}
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 :
25694925209766044554750099/62500000000000000000000000 -47342434377339368649402697/125000000000000000000000000 -253444439846199536683084131/250000000000000000000000000 84057416173406967361367613/250000000000000000000000000 6546273443928269157501641/62500000000000000000000000 -2415558802075491117862133/62500000000000000000000000
-47342434377339368649402697/125000000000000000000000000 174455155987051952274126463/500000000000000000000000000 233483395335196736684714189/250000000000000000000000000 -7743713353183287850579597/25000000000000000000000000 -12061390268335666015156871/125000000000000000000000000 17802493377516864640704291/500000000000000000000000000
-253444439846199536683084131/250000000000000000000000000 233483395335196736684714189/250000000000000000000000000 1249937167836938698344452867/500000000000000000000000000 -414554325086941490085464341/500000000000000000000000000 -64569816476085549575637699/250000000000000000000000000 11913051694699681888945841/125000000000000000000000000
84057416173406967361367613/250000000000000000000000000 -7743713353183287850579597/25000000000000000000000000 -414554325086941490085464341/500000000000000000000000000 137491141851307081897050239/500000000000000000000000000 21415233811795082202800853/250000000000000000000000000 -7902168577918216462078541/250000000000000000000000000
6546273443928269157501641/62500000000000000000000000 -12061390268335666015156871/125000000000000000000000000 -64569816476085549575637699/250000000000000000000000000 21415233811795082202800853/250000000000000000000000000 7821720333213273933926767/62500000000000000000000000 -1786713285511694212692373/15625000000000000000000000
-2415558802075491117862133/62500000000000000000000000 17802493377516864640704291/500000000000000000000000000 11913051694699681888945841/125000000000000000000000000 -7902168577918216462078541/250000000000000000000000000 -1786713285511694212692373/15625000000000000000000000 163913389296049426622162323/500000000000000000000000000


--- 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 :
0/1 0/1
0/1 194035689/500000000


--- 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 :
957530987232482219768345303/500000000000000000000000000 -214504884363802989659187/20000000000000000000000000 147256373522829671479848287/500000000000000000000000000 -2566003515906386153228403/1562500000000000000000000 122160037997442349030430611/500000000000000000000000000 27410821727473700652968161/50000000000000000000000000
-214504884363802989659187/20000000000000000000000000 22747564153723000459953709/200000000000000000000000000 -13729562675651108334830711/250000000000000000000000000 10632897052008195006958817/500000000000000000000000000 -237297253809534340331003/3906250000000000000000000 -874944083601361394850207/40000000000000000000000000
147256373522829671479848287/500000000000000000000000000 -13729562675651108334830711/250000000000000000000000000 23184535481773338427977797/50000000000000000000000000 -26018637724179111562818667/100000000000000000000000000 -34555718297027260885700893/500000000000000000000000000 12024588081964287570887151/125000000000000000000000000
-2566003515906386153228403/1562500000000000000000000 10632897052008195006958817/500000000000000000000000000 -26018637724179111562818667/100000000000000000000000000 378249209289264837806086287/250000000000000000000000000 -109665343416365766464082893/500000000000000000000000000 -316629478795992142623189803/500000000000000000000000000
122160037997442349030430611/500000000000000000000000000 -237297253809534340331003/3906250000000000000000000 -34555718297027260885700893/500000000000000000000000000 -109665343416365766464082893/500000000000000000000000000 43729298034259927112383211/250000000000000000000000000 5327187810902969534987323/62500000000000000000000000
27410821727473700652968161/50000000000000000000000000 -874944083601361394850207/40000000000000000000000000 12024588081964287570887151/125000000000000000000000000 -316629478795992142623189803/500000000000000000000000000 5327187810902969534987323/62500000000000000000000000 411118803551046330042635103/1000000000000000000000000000


--- 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 :
350613401217657753813209659/1000000000000000000000000000 -36229335904506238377692627/1000000000000000000000000000
-36229335904506238377692627/1000000000000000000000000000 433655377034273596476804331/1000000000000000000000000000

