#Density : 5331865497417241937054133637/12000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 26, 37, 57}
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 :
444322121644976372671650611/1000000000000000000000000000 -42971619922465851804404157/1000000000000000000000000000 -243179068588350982069589269/250000000000000000000000000 7684745533594300819058519/250000000000000000000000000 34771893442894441505054207/125000000000000000000000000 -5746873940338557104334807/15625000000000000000000000
-42971619922465851804404157/1000000000000000000000000000 362737254176003249777905959/1000000000000000000000000000 -155857434848712725527299897/250000000000000000000000000 -27619673338639995956011657/62500000000000000000000000 -9267855048342749999404049/125000000000000000000000000 131833087094919737477063989/250000000000000000000000000
-243179068588350982069589269/250000000000000000000000000 -155857434848712725527299897/250000000000000000000000000 356517442309585561143657629/100000000000000000000000000 405503596377663383148320229/500000000000000000000000000 -51446052256837784370611611/100000000000000000000000000 -22349724777798630702199289/125000000000000000000000000
7684745533594300819058519/250000000000000000000000000 -27619673338639995956011657/62500000000000000000000000 405503596377663383148320229/500000000000000000000000000 53943843184486587400958599/100000000000000000000000000 38535576919898840297761781/500000000000000000000000000 -156853397466697244669619617/250000000000000000000000000
34771893442894441505054207/125000000000000000000000000 -9267855048342749999404049/125000000000000000000000000 -51446052256837784370611611/100000000000000000000000000 38535576919898840297761781/500000000000000000000000000 114221004312214337610443289/500000000000000000000000000 -7376304029301566753499843/25000000000000000000000000
-5746873940338557104334807/15625000000000000000000000 131833087094919737477063989/250000000000000000000000000 -22349724777798630702199289/125000000000000000000000000 -156853397466697244669619617/250000000000000000000000000 -7376304029301566753499843/25000000000000000000000000 244715546375786539204567133/250000000000000000000000000


--- 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 299795761/1000000000


--- 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 :
287297598451074767095951209/125000000000000000000000000 149852408100288506996887059/250000000000000000000000000 -495111658353100010935653297/250000000000000000000000000 -98754933991183653681848381/50000000000000000000000000 -128630561823768956230097539/250000000000000000000000000 11743626654812955589312787/12500000000000000000000000
149852408100288506996887059/250000000000000000000000000 100342265993182814796201989/500000000000000000000000000 -258159473900301963287865733/500000000000000000000000000 -260705215856392538242209803/500000000000000000000000000 -64995871323283149788830613/500000000000000000000000000 61562065322032716335093837/250000000000000000000000000
-495111658353100010935653297/250000000000000000000000000 -258159473900301963287865733/500000000000000000000000000 426925446424252049944349329/250000000000000000000000000 829075929401825622222039273/500000000000000000000000000 236203496979095492656411221/500000000000000000000000000 -400495399359045872308417891/500000000000000000000000000
-98754933991183653681848381/50000000000000000000000000 -260705215856392538242209803/500000000000000000000000000 829075929401825622222039273/500000000000000000000000000 13113595688621432292745333/4000000000000000000000000 -60843866887938412046340821/100000000000000000000000000 -69756501653545733130214457/62500000000000000000000000
-128630561823768956230097539/250000000000000000000000000 -64995871323283149788830613/500000000000000000000000000 236203496979095492656411221/500000000000000000000000000 -60843866887938412046340821/100000000000000000000000000 406630505747162630393363759/500000000000000000000000000 -644726130231617079287497/125000000000000000000000000
11743626654812955589312787/12500000000000000000000000 61562065322032716335093837/250000000000000000000000000 -400495399359045872308417891/500000000000000000000000000 -69756501653545733130214457/62500000000000000000000000 -644726130231617079287497/125000000000000000000000000 222161061182888532969767651/500000000000000000000000000


--- 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 :
252505436580923988944759007/1000000000000000000000000000 9894370173493782143990493/125000000000000000000000000
9894370173493782143990493/125000000000000000000000000 959648700655254503285966467/1000000000000000000000000000

