#Density : 1891792703360550085144947479/4000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {13, 15, 26, 37, 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 :
236474086594810580989424937/500000000000000000000000000 -134685120183934499069148213/1000000000000000000000000000 -66840757545439122961293129/200000000000000000000000000 96887783519378929468878897/1000000000000000000000000000 -9124507071504509906822397/500000000000000000000000000 877065595001041686832779/4000000000000000000000000
-134685120183934499069148213/1000000000000000000000000000 1249187235318864633788979691/1000000000000000000000000000 102676064893543190603751801/200000000000000000000000000 -485814603446414477619652589/1000000000000000000000000000 -905186089219529624013738627/1000000000000000000000000000 -28250056328388126018813921/20000000000000000000000000
-66840757545439122961293129/200000000000000000000000000 102676064893543190603751801/200000000000000000000000000 605642304287407349676623383/1000000000000000000000000000 -226729375494416195490549519/1000000000000000000000000000 -301539673351313114641507099/1000000000000000000000000000 -310618338633486201035795327/500000000000000000000000000
96887783519378929468878897/1000000000000000000000000000 -485814603446414477619652589/1000000000000000000000000000 -226729375494416195490549519/1000000000000000000000000000 193256754995086451088808513/1000000000000000000000000000 68156755004714038225782207/200000000000000000000000000 277915549200527288570118441/500000000000000000000000000
-9124507071504509906822397/500000000000000000000000000 -905186089219529624013738627/1000000000000000000000000000 -301539673351313114641507099/1000000000000000000000000000 68156755004714038225782207/200000000000000000000000000 342594960011223712419968933/500000000000000000000000000 503301881283033334299527501/500000000000000000000000000
877065595001041686832779/4000000000000000000000000 -28250056328388126018813921/20000000000000000000000000 -310618338633486201035795327/500000000000000000000000000 277915549200527288570118441/500000000000000000000000000 503301881283033334299527501/500000000000000000000000000 401738531927278826969522173/250000000000000000000000000


--- 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 :
90032906168637004565473597/125000000000000000000000000 -96010895659655598902928011/125000000000000000000000000
-96010895659655598902928011/125000000000000000000000000 102385810673524609968902893/125000000000000000000000000


--- 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 :
2334497918871660366319825427/1000000000000000000000000000 -171126485216741377909071661/1000000000000000000000000000 555039585268353856906972219/1000000000000000000000000000 259621768113565681272078551/1000000000000000000000000000 -9941834988015477534753273/10000000000000000000000000 -772514645544126003973862573/1000000000000000000000000000
-171126485216741377909071661/1000000000000000000000000000 260706428153499205735861199/1000000000000000000000000000 -574828975020570928072191357/1000000000000000000000000000 -8156959352233736945524113/1000000000000000000000000000 7292038511646253220046653/25000000000000000000000000 -114764665275032399081357357/1000000000000000000000000000
555039585268353856906972219/1000000000000000000000000000 -574828975020570928072191357/1000000000000000000000000000 1285369999618103683753374583/1000000000000000000000000000 62996557984519936445980957/1000000000000000000000000000 -74447070362779980330255869/100000000000000000000000000 204423033890795187538121999/1000000000000000000000000000
259621768113565681272078551/1000000000000000000000000000 -8156959352233736945524113/1000000000000000000000000000 62996557984519936445980957/1000000000000000000000000000 121330111290235166818157991/250000000000000000000000000 -347275824872620886126882393/1000000000000000000000000000 33812522328374574698487949/1000000000000000000000000000
-9941834988015477534753273/10000000000000000000000000 7292038511646253220046653/25000000000000000000000000 -74447070362779980330255869/100000000000000000000000000 -347275824872620886126882393/1000000000000000000000000000 987069737066170371287104989/1000000000000000000000000000 -6829385268312084177729657/500000000000000000000000000
-772514645544126003973862573/1000000000000000000000000000 -114764665275032399081357357/1000000000000000000000000000 204423033890795187538121999/1000000000000000000000000000 33812522328374574698487949/1000000000000000000000000000 -6829385268312084177729657/500000000000000000000000000 472948174088974204102623767/1000000000000000000000000000


--- 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 :
163817296887616930408311/200000000000000000000000 813793761916141128680979/10000000000000000000000000
813793761916141128680979/10000000000000000000000000 4042676197910611061772831/500000000000000000000000000

