#Density : 17537056601897621339368459/40000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 15, 26, 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 :
38993328425711035704841323/200000000000000000000000000 -8194567879899122212229697/125000000000000000000000000 -89417299576959706283653281/1000000000000000000000000000 103668707618133970245671463/1000000000000000000000000000 -51541514766199648562175669/1000000000000000000000000000 -6153698052194603482490853/100000000000000000000000000
-8194567879899122212229697/125000000000000000000000000 5510763646962505115358023/250000000000000000000000000 117445751814026490778101/3906250000000000000000000 -697161526565608727522511/20000000000000000000000000 346611450470345881864877/20000000000000000000000000 5172874339188814687884823/250000000000000000000000000
-89417299576959706283653281/1000000000000000000000000000 117445751814026490778101/3906250000000000000000000 91478962158926839656590379/200000000000000000000000000 -47545445691701590964804037/1000000000000000000000000000 23638418112968954449718031/1000000000000000000000000000 -94883679304636790772949149/500000000000000000000000000
103668707618133970245671463/1000000000000000000000000000 -697161526565608727522511/20000000000000000000000000 -47545445691701590964804037/1000000000000000000000000000 27561640344935943169157331/500000000000000000000000000 -13702965199989728869732953/500000000000000000000000000 -511262078049092221323639/15625000000000000000000000
-51541514766199648562175669/1000000000000000000000000000 346611450470345881864877/20000000000000000000000000 23638418112968954449718031/1000000000000000000000000000 -13702965199989728869732953/500000000000000000000000000 6812775035235877579178539/500000000000000000000000000 254186852340860386420607/15625000000000000000000000
-6153698052194603482490853/100000000000000000000000000 5172874339188814687884823/250000000000000000000000000 -94883679304636790772949149/500000000000000000000000000 -511262078049092221323639/15625000000000000000000000 254186852340860386420607/15625000000000000000000000 9038151641326872787105439/25000000000000000000000000


--- 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 :
488011911612298661397175333/500000000000000000000000000 35115701625005050322173307/31250000000000000000000000
35115701625005050322173307/31250000000000000000000000 2526808201345768080129253/1953125000000000000000000


--- 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 :
173587660855447601135372047/62500000000000000000000000 -1306894973779267290996666743/1000000000000000000000000000 -123793059897292060986681487/500000000000000000000000000 -108037014457424036625790327/500000000000000000000000000 18291458138282646359699491/500000000000000000000000000 106771825739461271165906697/500000000000000000000000000
-1306894973779267290996666743/1000000000000000000000000000 615661757905969411430667319/1000000000000000000000000000 122729386216271988377135039/1000000000000000000000000000 27141475837402629295753747/250000000000000000000000000 -12865228954627241264937997/1000000000000000000000000000 -58882969455180820449052143/500000000000000000000000000
-123793059897292060986681487/500000000000000000000000000 122729386216271988377135039/1000000000000000000000000000 330679526394276902702167337/500000000000000000000000000 -25852261253725856857534269/250000000000000000000000000 -12999176322916811854213701/125000000000000000000000000 -85559862028394992067196321/500000000000000000000000000
-108037014457424036625790327/500000000000000000000000000 27141475837402629295753747/250000000000000000000000000 -25852261253725856857534269/250000000000000000000000000 276228843158530860893976671/500000000000000000000000000 -27313029634125647328937193/500000000000000000000000000 -11557437893813541024724161/62500000000000000000000000
18291458138282646359699491/500000000000000000000000000 -12865228954627241264937997/1000000000000000000000000000 -12999176322916811854213701/125000000000000000000000000 -27313029634125647328937193/500000000000000000000000000 4556437055407027547486659/25000000000000000000000000 -51683235935221216398709059/500000000000000000000000000
106771825739461271165906697/500000000000000000000000000 -58882969455180820449052143/500000000000000000000000000 -85559862028394992067196321/500000000000000000000000000 -11557437893813541024724161/62500000000000000000000000 -51683235935221216398709059/500000000000000000000000000 438426412493226369979556577/1000000000000000000000000000


--- 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 :
523080140905073173474797849/500000000000000000000000000 131296881482853862901171277/500000000000000000000000000
131296881482853862901171277/500000000000000000000000000 269986227532550085237657121/500000000000000000000000000

