#Density : 420139949264337375637361699/1200000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 04, 15, 26, 57, 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 :
175058310575167198499271641/500000000000000000000000000 -965739583374985475213217/3906250000000000000000000 -6303008979395540133105261/125000000000000000000000000 -41682904122104090349112677/500000000000000000000000000 106879453577957465858989487/500000000000000000000000000 -34509999234836135166119441/62500000000000000000000000
-965739583374985475213217/3906250000000000000000000 12932542980860850709956967/62500000000000000000000000 -7240420451713270346759901/31250000000000000000000000 33570400459355704527771103/125000000000000000000000000 -3820692920068708141633973/125000000000000000000000000 3186276357251419137309689/15625000000000000000000000
-6303008979395540133105261/125000000000000000000000000 -7240420451713270346759901/31250000000000000000000000 69260213806024536996400431/31250000000000000000000000 -215124784185251570704865313/125000000000000000000000000 -128203262198302863642911757/125000000000000000000000000 25257963748103741360570751/15625000000000000000000000
-41682904122104090349112677/500000000000000000000000000 33570400459355704527771103/125000000000000000000000000 -215124784185251570704865313/125000000000000000000000000 137938712250812588198737699/100000000000000000000000000 364775724334773680862878147/500000000000000000000000000 -67142984493720604906682561/62500000000000000000000000
106879453577957465858989487/500000000000000000000000000 -3820692920068708141633973/125000000000000000000000000 -128203262198302863642911757/125000000000000000000000000 364775724334773680862878147/500000000000000000000000000 57852856187705857743270491/100000000000000000000000000 -12866094830181799900257641/12500000000000000000000000
-34509999234836135166119441/62500000000000000000000000 3186276357251419137309689/15625000000000000000000000 25257963748103741360570751/15625000000000000000000000 -67142984493720604906682561/62500000000000000000000000 -12866094830181799900257641/12500000000000000000000000 3031527156583461636751787/1562500000000000000000000


--- 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 :
2634526382956042299771049/2500000000000000000000000 1816750717596961904086947/2500000000000000000000000
1816750717596961904086947/2500000000000000000000000 1252818415955922898142241/2500000000000000000000000


--- 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 :
1710229943063955345702621723/1000000000000000000000000000 7117358085380043284490957/62500000000000000000000000 82782995027618964490255113/1000000000000000000000000000 7704422598901741626597177/500000000000000000000000000 -474386110558762208811822843/500000000000000000000000000 -6350778332843205354017619/50000000000000000000000000
7117358085380043284490957/62500000000000000000000000 3847678137349835380153487/500000000000000000000000000 -1126998227202192272089171/250000000000000000000000000 2901805469162456744968063/250000000000000000000000000 -29276914517045939848032219/500000000000000000000000000 -7326514931031305085641113/500000000000000000000000000
82782995027618964490255113/1000000000000000000000000000 -1126998227202192272089171/250000000000000000000000000 895144477542041210895210619/1000000000000000000000000000 -470142076493848068135030281/500000000000000000000000000 -228458808504374217309579411/500000000000000000000000000 34052942617138456911755921/62500000000000000000000000
7704422598901741626597177/500000000000000000000000000 2901805469162456744968063/250000000000000000000000000 -470142076493848068135030281/500000000000000000000000000 248463705162156029598040737/250000000000000000000000000 26590931259064727861911153/62500000000000000000000000 -145747121384909618316724619/250000000000000000000000000
-474386110558762208811822843/500000000000000000000000000 -29276914517045939848032219/500000000000000000000000000 -228458808504374217309579411/500000000000000000000000000 26590931259064727861911153/62500000000000000000000000 357946778325007056051743149/500000000000000000000000000 -91827765626062925660376423/500000000000000000000000000
-6350778332843205354017619/50000000000000000000000000 -7326514931031305085641113/500000000000000000000000000 34052942617138456911755921/62500000000000000000000000 -145747121384909618316724619/250000000000000000000000000 -91827765626062925660376423/500000000000000000000000000 175058310915195332376106583/500000000000000000000000000


--- 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 :
615136692720738276885011319/1000000000000000000000000000 458513670372987695473653867/1000000000000000000000000000
458513670372987695473653867/1000000000000000000000000000 341769217162195646918481231/1000000000000000000000000000

