#Density : 2193511931918335330488177919/3000000000000000000000000000

Program                      : EdgeInducedHypercubeDensityChecker

Dimension of subcubes H      : 3
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {37}
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 :
153111877077290029827202649/250000000000000000000000000 -688581309415236273977996557/1000000000000000000000000000 579878265729427976274765117/1000000000000000000000000000 -1768142021751457836156647387/1000000000000000000000000000 554911795828690801462604257/1000000000000000000000000000 288605457440009813352218703/200000000000000000000000000
-688581309415236273977996557/1000000000000000000000000000 1257857365254905605534237337/1000000000000000000000000000 -1505154922358678225357523561/1000000000000000000000000000 498001919448152917667272787/500000000000000000000000000 -1054031417122583400189287771/1000000000000000000000000000 -524990438063835637695642993/500000000000000000000000000
579878265729427976274765117/1000000000000000000000000000 -1505154922358678225357523561/1000000000000000000000000000 2054041932972935857222694393/1000000000000000000000000000 37814622715437251116745213/500000000000000000000000000 1284151270863282522868418251/1000000000000000000000000000 7130827458807766662065673/20000000000000000000000000
-1768142021751457836156647387/1000000000000000000000000000 498001919448152917667272787/500000000000000000000000000 37814622715437251116745213/500000000000000000000000000 7138929638778743370274057639/1000000000000000000000000000 -89987420040343841650611733/125000000000000000000000000 -1067997236910223569241961583/200000000000000000000000000
554911795828690801462604257/1000000000000000000000000000 -1054031417122583400189287771/1000000000000000000000000000 1284151270863282522868418251/1000000000000000000000000000 -89987420040343841650611733/125000000000000000000000000 887279246612016722624791693/1000000000000000000000000000 199599403189723183208322117/250000000000000000000000000
288605457440009813352218703/200000000000000000000000000 -524990438063835637695642993/500000000000000000000000000 7130827458807766662065673/20000000000000000000000000 -1067997236910223569241961583/200000000000000000000000000 199599403189723183208322117/250000000000000000000000000 4077478076127919379305634223/1000000000000000000000000000


--- 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 :
5118780557328552518306161/15625000000000000000000000 903588459620535419139761/1562500000000000000000000
903588459620535419139761/1562500000000000000000000 300406442090970247809241/250000000000000000000000


--- 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 :
2419462718872386614284427/1000000000000000000000000000 2947793526680554590530607/250000000000000000000000000 -18992859269570364321542703/500000000000000000000000000 -8591895145034157666774211/500000000000000000000000000 -6383334343233302448304631/1000000000000000000000000000 298038540051666281449369/7812500000000000000000000
2947793526680554590530607/250000000000000000000000000 13218486518833624900994753/62500000000000000000000000 -37194194962624156036244729/250000000000000000000000000 70047864534683608708070109/250000000000000000000000000 -14834409554065588425371997/250000000000000000000000000 6084186011392082037880097/125000000000000000000000000
-18992859269570364321542703/500000000000000000000000000 -37194194962624156036244729/250000000000000000000000000 75683895737746853587565839/125000000000000000000000000 45104612553153361758736311/125000000000000000000000000 46578224505071045964814023/500000000000000000000000000 -158319174284113729017492883/250000000000000000000000000
-8591895145034157666774211/500000000000000000000000000 70047864534683608708070109/250000000000000000000000000 45104612553153361758736311/125000000000000000000000000 129219423566288473593909961/125000000000000000000000000 -2538027189377411959853809/100000000000000000000000000 -1229522875396598803013077/2000000000000000000000000
-6383334343233302448304631/1000000000000000000000000000 -14834409554065588425371997/250000000000000000000000000 46578224505071045964814023/500000000000000000000000000 -2538027189377411959853809/100000000000000000000000000 22326460064467161878278019/1000000000000000000000000000 -9247668527902787205843421/125000000000000000000000000
298038540051666281449369/7812500000000000000000000 6084186011392082037880097/125000000000000000000000000 -158319174284113729017492883/250000000000000000000000000 -1229522875396598803013077/2000000000000000000000000 -9247668527902787205843421/125000000000000000000000000 1428067657153481665151003/1953125000000000000000000


--- 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 :
107249768788539172087771047/125000000000000000000000000 62451442678985910505060717/100000000000000000000000000
62451442678985910505060717/100000000000000000000000000 34035871770357988342685397/25000000000000000000000000

