#Density : 5106031866885447843008122721/12000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {15, 46, 37, 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 :
425502653203558315220277463/1000000000000000000000000000 -36339063475496776714347713/125000000000000000000000000 -22588576239801723277927551/40000000000000000000000000 -31511432824474580962130993/250000000000000000000000000 3105756015386015811848721/15625000000000000000000000 13515644252746552793780007/250000000000000000000000000
-36339063475496776714347713/125000000000000000000000000 1206826230063255112936470363/1000000000000000000000000000 47050709617648929456132921/250000000000000000000000000 -124645790389428967907775407/125000000000000000000000000 -601598422891185673039697703/1000000000000000000000000000 164728296578402726199195241/250000000000000000000000000
-22588576239801723277927551/40000000000000000000000000 47050709617648929456132921/250000000000000000000000000 1237356708367250602892880901/500000000000000000000000000 174048736335854726877769799/1000000000000000000000000000 -924738921115971812153074451/1000000000000000000000000000 -10173468394593937344121333/100000000000000000000000000
-31511432824474580962130993/250000000000000000000000000 -124645790389428967907775407/125000000000000000000000000 174048736335854726877769799/1000000000000000000000000000 1226348920754778892225024731/1000000000000000000000000000 533294734550299802753317897/1000000000000000000000000000 -388326813191590483298066291/500000000000000000000000000
3105756015386015811848721/15625000000000000000000000 -601598422891185673039697703/1000000000000000000000000000 -924738921115971812153074451/1000000000000000000000000000 533294734550299802753317897/1000000000000000000000000000 321789480313572229156128931/500000000000000000000000000 -34369474581110205034117199/100000000000000000000000000
13515644252746552793780007/250000000000000000000000000 164728296578402726199195241/250000000000000000000000000 -10173468394593937344121333/100000000000000000000000000 -388326813191590483298066291/500000000000000000000000000 -34369474581110205034117199/100000000000000000000000000 160910232927032936181167059/250000000000000000000000000


--- 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 134308969/200000000


--- 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 :
248951703121953246015500039/100000000000000000000000000 -9272260043456816470136723/20000000000000000000000000 -45132929676973701355674387/100000000000000000000000000 -1105903996859947539848361813/500000000000000000000000000 -75617209596786738628075127/500000000000000000000000000 97863731610129836199002011/500000000000000000000000000
-9272260043456816470136723/20000000000000000000000000 87053305306816109731487603/1000000000000000000000000000 18370775586350301944726349/200000000000000000000000000 78824758400716772887778091/200000000000000000000000000 28439931876844514152652903/1000000000000000000000000000 -19307922198764284517987761/1000000000000000000000000000
-45132929676973701355674387/100000000000000000000000000 18370775586350301944726349/200000000000000000000000000 86298984972204837165023407/200000000000000000000000000 207385164147243100511937733/1000000000000000000000000000 -53199751376250815127001443/1000000000000000000000000000 151241395747860768525515069/1000000000000000000000000000
-1105903996859947539848361813/500000000000000000000000000 78824758400716772887778091/200000000000000000000000000 207385164147243100511937733/1000000000000000000000000000 2405936773173787932833047061/1000000000000000000000000000 127514222668541942528144973/1000000000000000000000000000 -599102727856704777041694341/1000000000000000000000000000
-75617209596786738628075127/500000000000000000000000000 28439931876844514152652903/1000000000000000000000000000 -53199751376250815127001443/1000000000000000000000000000 127514222668541942528144973/1000000000000000000000000000 97728149020000108749991757/1000000000000000000000000000 -5283520386245029167359581/1000000000000000000000000000
97863731610129836199002011/500000000000000000000000000 -19307922198764284517987761/1000000000000000000000000000 151241395747860768525515069/1000000000000000000000000000 -599102727856704777041694341/1000000000000000000000000000 -5283520386245029167359581/1000000000000000000000000000 425502653271866958212483971/1000000000000000000000000000


--- 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 :
791917884406230718910846141/1000000000000000000000000000 19567144712275254682135803/500000000000000000000000000
19567144712275254682135803/500000000000000000000000000 259901762023118175182990233/500000000000000000000000000

