#Density : 776500402602851653748503023/3200000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 9, 10, 12}
Number of terms              : 19


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {0}
F2 : {0, 2}
F3 : {0, 3}
F4 : {0, 2, 3}
F5 : {0, 1, 2}
F6 : {0, 1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
133071936769131503264437/7812500000000000000000000 -47901127835400954668517/3125000000000000000000000 -363137501900352624975409/31250000000000000000000000 -507548117522551746847521/6250000000000000000000000 636677749366376859819657/7812500000000000000000000 1004532751775686801317439/15625000000000000000000000
-47901127835400954668517/3125000000000000000000000 17242689207148295179797/1250000000000000000000000 130716485554240235607969/12500000000000000000000000 182699131389695878006161/2500000000000000000000000 -229181170747254543228537/3125000000000000000000000 -361595787405840080885199/6250000000000000000000000
-363137501900352624975409/31250000000000000000000000 130716485554240235607969/12500000000000000000000000 990959089407482222290813/125000000000000000000000000 1385038498471152399841197/25000000000000000000000000 -1737417918712342575272949/31250000000000000000000000 -2741250506406758782761523/62500000000000000000000000
-507548117522551746847521/6250000000000000000000000 182699131389695878006161/2500000000000000000000000 1385038498471152399841197/25000000000000000000000000 1935833338381547210294493/5000000000000000000000000 -2428345156800625697135781/6250000000000000000000000 -3831376618783588811837187/12500000000000000000000000
636677749366376859819657/7812500000000000000000000 -229181170747254543228537/3125000000000000000000000 -1737417918712342575272949/31250000000000000000000000 -2428345156800625697135781/6250000000000000000000000 3046161094367309184028077/7812500000000000000000000 4806149719417897566046779/15625000000000000000000000
1004532751775686801317439/15625000000000000000000000 -361595787405840080885199/6250000000000000000000000 -2741250506406758782761523/62500000000000000000000000 -3831376618783588811837187/12500000000000000000000000 4806149719417897566046779/15625000000000000000000000 7583011669400379280027933/31250000000000000000000000


--- Term 2 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {}
F2 : {2}
F3 : {3}
F4 : {2, 3}
F5 : {1, 2}
F6 : {1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
8741860481944234252025109/250000000000000000000000000 -16896947538930142812712623/250000000000000000000000000 28468058748259525234104159/250000000000000000000000000 -51472954959562626604778943/250000000000000000000000000 13171799113935831744870699/125000000000000000000000000 -2660840970149880139241043/250000000000000000000000000
-16896947538930142812712623/250000000000000000000000000 23568826746339482544313703/125000000000000000000000000 -57925898992543644193539223/250000000000000000000000000 89707089454207123047254471/250000000000000000000000000 -137883668635330869001827987/500000000000000000000000000 37175925450962002172182417/500000000000000000000000000
28468058748259525234104159/250000000000000000000000000 -57925898992543644193539223/250000000000000000000000000 93287986072302480957218209/250000000000000000000000000 -165662624655787513890877793/250000000000000000000000000 89399347933801347614795373/250000000000000000000000000 -2839685366663956494804317/62500000000000000000000000
-51472954959562626604778943/250000000000000000000000000 89707089454207123047254471/250000000000000000000000000 -165662624655787513890877793/250000000000000000000000000 309689632743839962721970721/250000000000000000000000000 -142934319110208731529751461/250000000000000000000000000 1645390648848698457852259/62500000000000000000000000
13171799113935831744870699/125000000000000000000000000 -137883668635330869001827987/500000000000000000000000000 89399347933801347614795373/250000000000000000000000000 -142934319110208731529751461/250000000000000000000000000 407289086105362884814061889/1000000000000000000000000000 -99021380287206944816186409/1000000000000000000000000000
-2660840970149880139241043/250000000000000000000000000 37175925450962002172182417/500000000000000000000000000 -2839685366663956494804317/62500000000000000000000000 1645390648848698457852259/62500000000000000000000000 -99021380287206944816186409/1000000000000000000000000000 53181839460989268042748069/1000000000000000000000000000


--- Term 3 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 4

Flags :
F1 : {1}
F2 : {1, 2}
F3 : {1, 3}
F4 : {1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)

Matrix :
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1


--- Term 4 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

Flags :
F1 : {0, 1}
F2 : {0, 1, 2}
F3 : {0, 1, 3}
F4 : {0, 1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)

Matrix :
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 0/1


--- Term 5 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 2
Matrix dimension   : 1

Flags :
F1 : {0, 1, 2}
F2 : {0, 1, 3}

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 6 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

Flags :
F1 : {}
F2 : {2}
F3 : {3}
F4 : {2, 3}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)

Matrix :
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 0/1


--- Term 7 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 2
Matrix dimension   : 1

Flags :
F1 : {2}
F2 : {3}

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 8 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 12

Flags :
F1  : {3}
F2  : {3, 4}
F3  : {3, 5}
F4  : {3, 4, 5}
F5  : {3, 6}
F6  : {3, 4, 6}
F7  : {3, 5, 6}
F8  : {3, 4, 5, 6}
F9  : {3, 7}
F10 : {3, 4, 7}
F11 : {3, 5, 7}
F12 : {3, 4, 5, 7}
F13 : {3, 6, 7}
F14 : {3, 4, 6, 7}
F15 : {3, 5, 6, 7}
F16 : {3, 4, 5, 6, 7}

Basis :
B1  : (F1)
B2  : (F2)
B3  : (F3)+(F5)
B4  : (F4)+(F6)
B5  : (F7)
B6  : (F8)
B7  : (F9)
B8  : (F10)
B9  : (F11)+(F13)
B10 : (F12)+(F14)
B11 : (F15)
B12 : (F16)

Matrix :
1357891097287927095117700759/500000000000000000000000000 138615915444043264870952739/125000000000000000000000000 98381169013768015314277487/250000000000000000000000000 -133995161012394667913892107/250000000000000000000000000 -206619448335679302429527513/250000000000000000000000000 -2686505896314456802387653321/500000000000000000000000000 -140590037807994656140426649/250000000000000000000000000 -212552156092032408831279593/250000000000000000000000000 195223941677574941746778439/500000000000000000000000000 699745420970149814083122401/500000000000000000000000000 -679409166898377617198052991/500000000000000000000000000 -761255268965342678881847183/250000000000000000000000000
138615915444043264870952739/125000000000000000000000000 68858231755235300209154129/6250000000000000000000000 -25654269847460818283728511/12500000000000000000000000 55623587807151549999287427/62500000000000000000000000 -147859115805230341095726841/31250000000000000000000000 -597349211871173388223824071/125000000000000000000000000 -168716127765746538268442787/62500000000000000000000000 -921493818324377119736557297/62500000000000000000000000 40117711654116719874048657/125000000000000000000000000 19349622775291116058732807/5000000000000000000000000 -598828605557188460747538109/125000000000000000000000000 -22825689753944580817234457/7812500000000000000000000
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--- Term 9 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 8
Matrix dimension   : 4

Flags :
F1 : {3, 5}
F2 : {3, 4, 5}
F3 : {3, 6}
F4 : {3, 4, 6}
F5 : {3, 5, 7}
F6 : {3, 4, 5, 7}
F7 : {3, 6, 7}
F8 : {3, 4, 6, 7}

Basis :
B1 : (F3)-(F1)
B2 : (F4)-(F2)
B3 : (F7)-(F5)
B4 : (F8)-(F6)

Matrix :
447923045404226831347838477/250000000000000000000000000 143732089387618457435947963/62500000000000000000000000 12218540246946467267614039/12500000000000000000000000 2393213294926853470334206697/500000000000000000000000000
143732089387618457435947963/62500000000000000000000000 46121568719659795164964037/15625000000000000000000000 784150910286586904840569/625000000000000000000000 767947866850045759263301183/125000000000000000000000000
12218540246946467267614039/12500000000000000000000000 784150910286586904840569/625000000000000000000000 1666499717954027764216787/3125000000000000000000000 65282582049865489819194923/25000000000000000000000000
2393213294926853470334206697/500000000000000000000000000 767947866850045759263301183/125000000000000000000000000 65282582049865489819194923/25000000000000000000000000 13243506546150844098415457557/1000000000000000000000000000


--- Term 10 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 10

Flags :
F1  : {2, 3}
F2  : {2, 3, 4}
F3  : {2, 3, 5}
F4  : {2, 3, 4, 5}
F5  : {2, 3, 6}
F6  : {2, 3, 4, 6}
F7  : {2, 3, 5, 6}
F8  : {2, 3, 4, 5, 6}
F9  : {2, 3, 7}
F10 : {2, 3, 4, 7}
F11 : {2, 3, 5, 7}
F12 : {2, 3, 4, 5, 7}
F13 : {2, 3, 6, 7}
F14 : {2, 3, 4, 6, 7}
F15 : {2, 3, 5, 6, 7}
F16 : {2, 3, 4, 5, 6, 7}

Basis :
B1  : (F1)
B2  : (F2)+(F3)
B3  : (F4)
B4  : (F5)+(F9)
B5  : (F6)+(F11)
B6  : (F7)+(F10)
B7  : (F8)+(F12)
B8  : (F13)
B9  : (F14)+(F15)
B10 : (F16)

Matrix :
5943334617703235689104033851/1000000000000000000000000000 -2026592385802229696865358013/500000000000000000000000000 -450373314103789260169206631/250000000000000000000000000 6177184006832391247374914673/1000000000000000000000000000 -276493740290409750306506027/1000000000000000000000000000 807046615100316847191135689/500000000000000000000000000 -176985999953511936027383759/62500000000000000000000000 4674357188622421178818818077/1000000000000000000000000000 1056006393799120603149823109/1000000000000000000000000000 -441066992242447627752256089/250000000000000000000000000
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--- Term 11 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 6

Flags :
F1  : {2, 3, 4}
F2  : {2, 3, 5}
F3  : {2, 3, 6}
F4  : {2, 3, 4, 6}
F5  : {2, 3, 5, 6}
F6  : {2, 3, 4, 5, 6}
F7  : {2, 3, 7}
F8  : {2, 3, 4, 7}
F9  : {2, 3, 5, 7}
F10 : {2, 3, 4, 5, 7}
F11 : {2, 3, 4, 6, 7}
F12 : {2, 3, 5, 6, 7}

Basis :
B1 : (F2)-(F1)
B2 : (F7)-(F3)
B3 : (F9)-(F4)
B4 : (F8)-(F5)
B5 : (F10)-(F6)
B6 : (F12)-(F11)

Matrix :
107261314772619317335917/40000000000000000000000000 -2827618336005320518750887/125000000000000000000000000 1138196294689814017769433/1000000000000000000000000000 -85002585133330030326345231/1000000000000000000000000000 -1306936326015229074672471/125000000000000000000000000 80060355683936911002575181/1000000000000000000000000000
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1138196294689814017769433/1000000000000000000000000000 -2400406599464681471953529/250000000000000000000000000 310626021532231856964220717/500000000000000000000000000 -18039985002695238809510433/500000000000000000000000000 -4437909275618541856738909/1000000000000000000000000000 2602595990099614464841737/500000000000000000000000000
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80060355683936911002575181/1000000000000000000000000000 -10552738896432167725340763/15625000000000000000000000 2602595990099614464841737/500000000000000000000000000 -1268926679526565209330763689/500000000000000000000000000 -31216111747798291768074453/100000000000000000000000000 2722474953523535972437072653/1000000000000000000000000000


--- Term 12 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 9

Flags :
F1  : {1, 2}
F2  : {1, 2, 4}
F3  : {1, 2, 5}
F4  : {1, 2, 4, 5}
F5  : {1, 2, 6}
F6  : {1, 2, 4, 6}
F7  : {1, 2, 5, 6}
F8  : {1, 2, 4, 5, 6}
F9  : {1, 2, 7}
F10 : {1, 2, 4, 7}
F11 : {1, 2, 5, 7}
F12 : {1, 2, 4, 5, 7}
F13 : {1, 2, 6, 7}
F14 : {1, 2, 4, 6, 7}
F15 : {1, 2, 5, 6, 7}
F16 : {1, 2, 4, 5, 6, 7}

Basis :
B1 : (F1)
B2 : (F2)+(F9)
B3 : (F3)+(F5)
B4 : (F4)+(F6)+(F11)+(F13)
B5 : (F7)
B6 : (F8)+(F15)
B7 : (F10)
B8 : (F12)+(F14)
B9 : (F16)

Matrix :
83567528727289211936183981/62500000000000000000000000 -10119946968379364179776487/12500000000000000000000000 206606140248411051818141711/62500000000000000000000000 -3253203580633630369960437/12500000000000000000000000 -17392573055771529171769/125000000000000000000000 81861373778957000242128751/125000000000000000000000000 -38267964176064893376405931/125000000000000000000000000 -83762349249524663170249103/125000000000000000000000000 -29994549364994812319034151/31250000000000000000000000
-10119946968379364179776487/12500000000000000000000000 1225515797852800730808149/2500000000000000000000000 -25019803917842773635605197/12500000000000000000000000 393959809686263312324799/2500000000000000000000000 2106223788697421578763/25000000000000000000000 -9913333252981535369815277/25000000000000000000000000 4634213479178234894319137/25000000000000000000000000 10143539545345576612392781/25000000000000000000000000 3632310941068447926861077/6250000000000000000000000
206606140248411051818141711/62500000000000000000000000 -25019803917842773635605197/12500000000000000000000000 510797648781096860012670341/62500000000000000000000000 -8042978480677965816292647/12500000000000000000000000 -43000103542227027611539/125000000000000000000000 202387969699285612729340581/125000000000000000000000000 -94610867330810241273407161/125000000000000000000000000 -207087800012116642960025093/125000000000000000000000000 -74156292128910832294627981/31250000000000000000000000
-3253203580633630369960437/12500000000000000000000000 393959809686263312324799/2500000000000000000000000 -8042978480677965816292647/12500000000000000000000000 126644088897072484493949/2500000000000000000000000 677076153898410857313/25000000000000000000000 -3186784608198256481870727/25000000000000000000000000 1489735067880260407255587/25000000000000000000000000 3260787756331652627966631/25000000000000000000000000 1167658980465086005846527/6250000000000000000000000
-17392573055771529171769/125000000000000000000000 2106223788697421578763/25000000000000000000000 -43000103542227027611539/125000000000000000000000 677076153898410857313/25000000000000000000000 3619846154449784981/250000000000000000000 -17037477900568694704499/250000000000000000000000 7964557200200056912319/250000000000000000000000 17433120266121631888147/250000000000000000000000 6242644709622254849099/62500000000000000000000
81861373778957000242128751/125000000000000000000000000 -9913333252981535369815277/25000000000000000000000000 202387969699285612729340581/125000000000000000000000000 -3186784608198256481870727/25000000000000000000000000 -17037477900568694704499/250000000000000000000000 80190052512463317156244421/250000000000000000000000000 -37486666973240323774682201/250000000000000000000000000 -82052216751501669049080613/250000000000000000000000000 -29382166186965410538267821/62500000000000000000000000
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--- Term 13 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 7

Flags :
F1  : {1, 2, 4}
F2  : {1, 2, 5}
F3  : {1, 2, 4, 5}
F4  : {1, 2, 6}
F5  : {1, 2, 4, 6}
F6  : {1, 2, 4, 5, 6}
F7  : {1, 2, 7}
F8  : {1, 2, 5, 7}
F9  : {1, 2, 4, 5, 7}
F10 : {1, 2, 6, 7}
F11 : {1, 2, 4, 6, 7}
F12 : {1, 2, 5, 6, 7}

Basis :
B1 : (F7)-(F1)
B2 : (F4)-(F2)
B3 : (F5)-(F3)
B4 : (F8)-(F3)
B5 : (F10)-(F3)
B6 : (F12)-(F6)
B7 : (F11)-(F9)

Matrix :
10683303250135366759749117/50000000000000000000000000 19807022850521811/200000000000000000000000000 20551273123372135452747579/200000000000000000000000000 -102756364029536219600701257/1000000000000000000000000000 -102756370246207992467521659/1000000000000000000000000000 -174501427539258698293803477/1000000000000000000000000000 21206454922101201/1000000000000000000000000000
19807022850521811/200000000000000000000000000 44602396264782470389289/200000000000000000000000000 4634789397031301004022613/200000000000000000000000000 -2896743674169407302456893/125000000000000000000000000 23173949285752891773315637/1000000000000000000000000000 -56831224804066959/1000000000000000000000000000 -420792112199272569977289/500000000000000000000000000
20551273123372135452747579/200000000000000000000000000 4634789397031301004022613/200000000000000000000000000 87991318025961145457201423/20000000000000000000000000 -515942242622093080364923089/1000000000000000000000000000 208553488476715462239215711/500000000000000000000000000 -41960645182609524470130237/500000000000000000000000000 -9756603047820746991962571/125000000000000000000000000
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21206454922101201/1000000000000000000000000000 -420792112199272569977289/500000000000000000000000000 -9756603047820746991962571/125000000000000000000000000 78052823678231710888761489/1000000000000000000000000000 -39026411864661827201872351/500000000000000000000000000 -36218577186731531/250000000000000000000000000 354934041255584969132529431/1000000000000000000000000000


--- Term 14 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 12

Flags :
F1  : {1, 2, 3}
F2  : {1, 2, 3, 4}
F3  : {1, 2, 3, 5}
F4  : {1, 2, 3, 4, 5}
F5  : {1, 2, 3, 6}
F6  : {1, 2, 3, 4, 6}
F7  : {1, 2, 3, 5, 6}
F8  : {1, 2, 3, 4, 5, 6}
F9  : {1, 2, 3, 7}
F10 : {1, 2, 3, 4, 7}
F11 : {1, 2, 3, 5, 7}
F12 : {1, 2, 3, 4, 5, 7}
F13 : {1, 2, 3, 6, 7}
F14 : {1, 2, 3, 4, 6, 7}
F15 : {1, 2, 3, 5, 6, 7}
F16 : {1, 2, 3, 4, 5, 6, 7}

Basis :
B1  : (F1)
B2  : (F2)
B3  : (F3)+(F5)
B4  : (F4)+(F6)
B5  : (F7)
B6  : (F8)
B7  : (F9)
B8  : (F10)
B9  : (F11)+(F13)
B10 : (F12)+(F14)
B11 : (F15)
B12 : (F16)

Matrix :
308771935639428529352396777/250000000000000000000000000 35869739646777172111259787/250000000000000000000000000 275804189707091905643519179/500000000000000000000000000 -12199776358933947976736891/20000000000000000000000000 -601471328548122155034880547/250000000000000000000000000 -941225285046121041895908099/500000000000000000000000000 62475638008587061857255919/125000000000000000000000000 5005231941700416545980219/20000000000000000000000000 12098165152024255461084281/100000000000000000000000000 -181324599983388546528729967/250000000000000000000000000 -67656547999306467898386337/50000000000000000000000000 -813315052587363898408819799/500000000000000000000000000
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--- Term 15 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 8
Matrix dimension   : 4

Flags :
F1 : {1, 2, 3, 5}
F2 : {1, 2, 3, 4, 5}
F3 : {1, 2, 3, 6}
F4 : {1, 2, 3, 4, 6}
F5 : {1, 2, 3, 5, 7}
F6 : {1, 2, 3, 4, 5, 7}
F7 : {1, 2, 3, 6, 7}
F8 : {1, 2, 3, 4, 6, 7}

Basis :
B1 : (F3)-(F1)
B2 : (F4)-(F2)
B3 : (F7)-(F5)
B4 : (F8)-(F6)

Matrix :
959964976808253735714137053/1000000000000000000000000000 -2589999180653119899763523/125000000000000000000000000 1429580611750519956653679873/1000000000000000000000000000 -3251880266615370441796981/25000000000000000000000000
-2589999180653119899763523/125000000000000000000000000 3263080608285273803706761/125000000000000000000000000 33123546381216670102423479/250000000000000000000000000 327757565846686114472903/2000000000000000000000000
1429580611750519956653679873/1000000000000000000000000000 33123546381216670102423479/250000000000000000000000000 1496203433490889688745034579/200000000000000000000000000 415883580570692264441291687/500000000000000000000000000
-3251880266615370441796981/25000000000000000000000000 327757565846686114472903/2000000000000000000000000 415883580570692264441291687/500000000000000000000000000 514396109006731163525118549/500000000000000000000000000


--- Term 16 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 6

Flags :
F1  : {0, 1, 2, 3}
F2  : {0, 1, 2, 3, 4}
F3  : {0, 1, 2, 3, 5}
F4  : {0, 1, 2, 3, 4, 5}
F5  : {0, 1, 2, 3, 6}
F6  : {0, 1, 2, 3, 4, 6}
F7  : {0, 1, 2, 3, 5, 6}
F8  : {0, 1, 2, 3, 4, 5, 6}
F9  : {0, 1, 2, 3, 7}
F10 : {0, 1, 2, 3, 4, 7}
F11 : {0, 1, 2, 3, 5, 7}
F12 : {0, 1, 2, 3, 4, 5, 7}
F13 : {0, 1, 2, 3, 6, 7}
F14 : {0, 1, 2, 3, 4, 6, 7}
F15 : {0, 1, 2, 3, 5, 6, 7}
F16 : {0, 1, 2, 3, 4, 5, 6, 7}

Basis :
B1 : (F1)
B2 : (F2)+(F3)+(F5)+(F9)
B3 : (F4)+(F6)+(F11)+(F13)
B4 : (F7)+(F10)
B5 : (F8)+(F12)+(F14)+(F15)
B6 : (F16)

Matrix :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 3382699/500000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1


--- Term 17 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 10

Flags :
F1  : {0, 1, 2, 3, 4}
F2  : {0, 1, 2, 3, 5}
F3  : {0, 1, 2, 3, 4, 5}
F4  : {0, 1, 2, 3, 6}
F5  : {0, 1, 2, 3, 4, 6}
F6  : {0, 1, 2, 3, 5, 6}
F7  : {0, 1, 2, 3, 4, 5, 6}
F8  : {0, 1, 2, 3, 7}
F9  : {0, 1, 2, 3, 4, 7}
F10 : {0, 1, 2, 3, 5, 7}
F11 : {0, 1, 2, 3, 4, 5, 7}
F12 : {0, 1, 2, 3, 6, 7}
F13 : {0, 1, 2, 3, 4, 6, 7}
F14 : {0, 1, 2, 3, 5, 6, 7}

Basis :
B1  : (F2)-(F1)
B2  : (F4)-(F1)
B3  : (F8)-(F1)
B4  : (F5)-(F3)
B5  : (F10)-(F3)
B6  : (F12)-(F3)
B7  : (F9)-(F6)
B8  : (F11)-(F7)
B9  : (F13)-(F7)
B10 : (F14)-(F7)

Matrix :
23323914214728850286086329/1000000000000000000000000000 -4622060710738225887713621/500000000000000000000000000 -7039896643540911502125769/1000000000000000000000000000 22767072221146886318763/500000000000000000000000000 -45534091471138379906743/1000000000000000000000000000 22767039318930243181549/500000000000000000000000000 0/1 -309875711466549601908433/500000000000000000000000000 309875711466549601908433/500000000000000000000000000 -2978514008106223/1000000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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--- Term 18 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 6

Flags :
F1  : {}
F2  : {4}
F3  : {5}
F4  : {4, 5}
F5  : {6}
F6  : {4, 6}
F7  : {5, 6}
F8  : {4, 5, 6}
F9  : {7}
F10 : {4, 7}
F11 : {5, 7}
F12 : {4, 5, 7}
F13 : {6, 7}
F14 : {4, 6, 7}
F15 : {5, 6, 7}
F16 : {4, 5, 6, 7}

Basis :
B1 : (F1)
B2 : (F2)+(F3)+(F5)+(F9)
B3 : (F4)+(F6)+(F11)+(F13)
B4 : (F7)+(F10)
B5 : (F8)+(F12)+(F14)+(F15)
B6 : (F16)

Matrix :
207688930771102787208815233/1000000000000000000000000000 2926909740229095015772063/500000000000000000000000000 -37324387827075956632504701/125000000000000000000000000 99283371422391408869269957/500000000000000000000000000 -59579754130663461072481771/250000000000000000000000000 -340041506055670754947275039/1000000000000000000000000000
2926909740229095015772063/500000000000000000000000000 4374342711073771665262163/31250000000000000000000000 -52643418811659357403406007/125000000000000000000000000 9272038350252292947573667/25000000000000000000000000 -40160368298991277170683039/250000000000000000000000000 -8541299966301773711174211/100000000000000000000000000
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--- Term 19 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 10

Flags :
F1  : {4}
F2  : {5}
F3  : {4, 5}
F4  : {6}
F5  : {4, 6}
F6  : {5, 6}
F7  : {4, 5, 6}
F8  : {7}
F9  : {4, 7}
F10 : {5, 7}
F11 : {4, 5, 7}
F12 : {6, 7}
F13 : {4, 6, 7}
F14 : {5, 6, 7}

Basis :
B1  : (F2)-(F1)
B2  : (F4)-(F1)
B3  : (F8)-(F1)
B4  : (F5)-(F3)
B5  : (F10)-(F3)
B6  : (F12)-(F3)
B7  : (F9)-(F6)
B8  : (F11)-(F7)
B9  : (F13)-(F7)
B10 : (F14)-(F7)

Matrix :
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