#Density : 32394135130619627803791703/96000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 45, 26, 46, 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 :
10544965774489040369323317/31250000000000000000000000 -17860301460435092670984459/250000000000000000000000000 -145179616511743945644545121/250000000000000000000000000 -15647995241427618320984367/125000000000000000000000000 24667717622514608100886629/250000000000000000000000000 13000578564604208608438509/50000000000000000000000000
-17860301460435092670984459/250000000000000000000000000 148817495172931860269972847/250000000000000000000000000 -1122030455140490763203463/31250000000000000000000000 -897505422401973226238103/1953125000000000000000000 -21148405618500347161316157/125000000000000000000000000 -13038163888734589891650639/50000000000000000000000000
-145179616511743945644545121/250000000000000000000000000 -1122030455140490763203463/31250000000000000000000000 107218448061319439111481207/50000000000000000000000000 2964721574389391215809771/62500000000000000000000000 -292328552797304605915269/10000000000000000000000000 -34638647605034275594560033/25000000000000000000000000
-15647995241427618320984367/125000000000000000000000000 -897505422401973226238103/1953125000000000000000000 2964721574389391215809771/62500000000000000000000000 66989583991025786876553483/125000000000000000000000000 1884599421109012446761193/31250000000000000000000000 4346187301653918112224987/12500000000000000000000000
24667717622514608100886629/250000000000000000000000000 -21148405618500347161316157/125000000000000000000000000 -292328552797304605915269/10000000000000000000000000 1884599421109012446761193/31250000000000000000000000 3791672491258873515530459/50000000000000000000000000 239772791030881477975457/6250000000000000000000000
13000578564604208608438509/50000000000000000000000000 -13038163888734589891650639/50000000000000000000000000 -34638647605034275594560033/25000000000000000000000000 4346187301653918112224987/12500000000000000000000000 239772791030881477975457/6250000000000000000000000 58551639488116882689717599/50000000000000000000000000


--- 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 :
2523759795241512195624893/25000000000000000000000000 -2925416618197118221199751/25000000000000000000000000
-2925416618197118221199751/25000000000000000000000000 3390997196389245350426757/25000000000000000000000000


--- 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 :
443620396259727608476236313/250000000000000000000000000 69248200390256803930108677/500000000000000000000000000 -217272162581746005252165017/125000000000000000000000000 235280790188356476577938839/500000000000000000000000000 -4975947387172064062451051/10000000000000000000000000 27580019161484030187746243/62500000000000000000000000
69248200390256803930108677/500000000000000000000000000 149761089846328145641698229/250000000000000000000000000 381629301518400874478825343/1000000000000000000000000000 -212224663777014900091727957/200000000000000000000000000 -363890456380066172325220699/1000000000000000000000000000 12513177731655145968927253/31250000000000000000000000
-217272162581746005252165017/125000000000000000000000000 381629301518400874478825343/1000000000000000000000000000 2157521162110019517156260323/1000000000000000000000000000 -89148803267988635856747199/62500000000000000000000000 40312603637902640802476911/200000000000000000000000000 -13801257590828386114296223/125000000000000000000000000
235280790188356476577938839/500000000000000000000000000 -212224663777014900091727957/200000000000000000000000000 -89148803267988635856747199/62500000000000000000000000 2173753648197156696483599849/1000000000000000000000000000 237354728000082943448970649/500000000000000000000000000 -70753265025727197676008351/125000000000000000000000000
-4975947387172064062451051/10000000000000000000000000 -363890456380066172325220699/1000000000000000000000000000 40312603637902640802476911/200000000000000000000000000 237354728000082943448970649/500000000000000000000000000 319155998950040596749153047/1000000000000000000000000000 -8149503223959260883152529/25000000000000000000000000
27580019161484030187746243/62500000000000000000000000 12513177731655145968927253/31250000000000000000000000 -13801257590828386114296223/125000000000000000000000000 -70753265025727197676008351/125000000000000000000000000 -8149503223959260883152529/25000000000000000000000000 1318120720897338711753137/3906250000000000000000000


--- 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 :
67819944017815464531617883/500000000000000000000000000 135764787179455626869754021/500000000000000000000000000
135764787179455626869754021/500000000000000000000000000 271779602664387323533723227/500000000000000000000000000

