#Density : 3021863904125815155604318901/4000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
2 : {13}
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 :
757561892948606501354151/62500000000000000000000000 -930130478710683662860707/31250000000000000000000000
-930130478710683662860707/31250000000000000000000000 1142009274066346690793999/15625000000000000000000000


--- 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 :
92918122890760684649842953/125000000000000000000000000 -61289047900737950097479361/500000000000000000000000000 -80381590267834040549827137/500000000000000000000000000 -12832750631244399647584983/50000000000000000000000000 -9433847270081985503365101/500000000000000000000000000 5749410067346111035118097/500000000000000000000000000
-61289047900737950097479361/500000000000000000000000000 33188816098336862223886781/200000000000000000000000000 -15844996354273885668760007/200000000000000000000000000 -76490550223120992052914427/250000000000000000000000000 20018697292716546392940451/1000000000000000000000000000 637850362810367034179539879/1000000000000000000000000000
-80381590267834040549827137/500000000000000000000000000 -15844996354273885668760007/200000000000000000000000000 784598303640897890217891741/1000000000000000000000000000 19262785983272086763036491/62500000000000000000000000 -165332086925074130172388289/1000000000000000000000000000 -466654539999039599654977697/1000000000000000000000000000
-12832750631244399647584983/50000000000000000000000000 -76490550223120992052914427/250000000000000000000000000 19262785983272086763036491/62500000000000000000000000 23024684210770616029631521/25000000000000000000000000 -2118302674011314396865607/62500000000000000000000000 -95806985737075257994300837/62500000000000000000000000
-9433847270081985503365101/500000000000000000000000000 20018697292716546392940451/1000000000000000000000000000 -165332086925074130172388289/1000000000000000000000000000 -2118302674011314396865607/62500000000000000000000000 120423397049612415871134447/1000000000000000000000000000 73930237502711382417179253/1000000000000000000000000000
5749410067346111035118097/500000000000000000000000000 637850362810367034179539879/1000000000000000000000000000 -466654539999039599654977697/1000000000000000000000000000 -95806985737075257994300837/62500000000000000000000000 73930237502711382417179253/1000000000000000000000000000 2808612500860378639570069653/1000000000000000000000000000


--- 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 :
76254332869563440998079127/125000000000000000000000000 890708369489257730052487/4000000000000000000000000
890708369489257730052487/4000000000000000000000000 1179796179002571651402736431/1000000000000000000000000000


--- 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 :
28291314609683663818146461/250000000000000000000000000 15295856270989407936834727/250000000000000000000000000 -8683981561002219921944661/31250000000000000000000000 111078935012759166488916987/500000000000000000000000000 -41180537626291514146309853/500000000000000000000000000 -8683981561002219921944661/31250000000000000000000000
15295856270989407936834727/250000000000000000000000000 166625500457305695088192051/1000000000000000000000000000 -6009654821457441641047653/40000000000000000000000000 -31046081893698392665530681/1000000000000000000000000000 -22264486235752534699251039/500000000000000000000000000 -6009654821457441641047653/40000000000000000000000000
-8683981561002219921944661/31250000000000000000000000 -6009654821457441641047653/40000000000000000000000000 341188690218369778955001843/500000000000000000000000000 -545528512272784421846818791/1000000000000000000000000000 202244984004508073752169883/1000000000000000000000000000 341188690218369778955001843/500000000000000000000000000
111078935012759166488916987/500000000000000000000000000 -31046081893698392665530681/1000000000000000000000000000 -545528512272784421846818791/1000000000000000000000000000 231358956971723251237639533/250000000000000000000000000 -32337064021961476652688663/200000000000000000000000000 -545528512272784421846818791/1000000000000000000000000000
-41180537626291514146309853/500000000000000000000000000 -22264486235752534699251039/500000000000000000000000000 202244984004508073752169883/1000000000000000000000000000 -32337064021961476652688663/200000000000000000000000000 14985488502273003290712061/250000000000000000000000000 202244984004508073752169883/1000000000000000000000000000
-8683981561002219921944661/31250000000000000000000000 -6009654821457441641047653/40000000000000000000000000 341188690218369778955001843/500000000000000000000000000 -545528512272784421846818791/1000000000000000000000000000 202244984004508073752169883/1000000000000000000000000000 341188690218369778955001843/500000000000000000000000000


--- 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 :
914451724951391170001722931/1000000000000000000000000000 79629366112160969633669259/250000000000000000000000000
79629366112160969633669259/250000000000000000000000000 1426650556406459270596204681/1000000000000000000000000000

