#Density : 18812754534832759725713571857/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 7, 8, 10, 12, 13}
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 :
74162183050740602758806059/1000000000000000000000000000 38089791336695852425724711/1000000000000000000000000000 -12241680446662700349713551/125000000000000000000000000 10523922949668778533986243/200000000000000000000000000 -32167747062317790616383329/500000000000000000000000000 -43434663135166950210474891/1000000000000000000000000000
38089791336695852425724711/1000000000000000000000000000 19562965171621145075137619/1000000000000000000000000000 -6287342613753270760053979/125000000000000000000000000 5405100183230723679174047/200000000000000000000000000 -16521395716425850906435541/500000000000000000000000000 -22308098110680728858872839/1000000000000000000000000000
-12241680446662700349713551/125000000000000000000000000 -6287342613753270760053979/125000000000000000000000000 2020689440272718112328739/15625000000000000000000000 -1737145489730275692486727/25000000000000000000000000 5309812414186137638669581/62500000000000000000000000 7169601062651629285605999/125000000000000000000000000
10523922949668778533986243/200000000000000000000000000 5405100183230723679174047/200000000000000000000000000 -1737145489730275692486727/25000000000000000000000000 1493388539746595235267611/40000000000000000000000000 -4564737412282606362677033/100000000000000000000000000 -6163559773672967374031907/200000000000000000000000000
-32167747062317790616383329/500000000000000000000000000 -16521395716425850906435541/500000000000000000000000000 5309812414186137638669581/62500000000000000000000000 -4564737412282606362677033/100000000000000000000000000 13952716984575353967893699/250000000000000000000000000 18839726663832028962101121/500000000000000000000000000
-43434663135166950210474891/1000000000000000000000000000 -22308098110680728858872839/1000000000000000000000000000 7169601062651629285605999/125000000000000000000000000 -6163559773672967374031907/200000000000000000000000000 18839726663832028962101121/500000000000000000000000000 25438436195637192809191659/1000000000000000000000000000


--- 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 :
25438436195637192809191659/1000000000000000000000000000 -6163559773672967374031907/200000000000000000000000000 18839726663832028962101121/500000000000000000000000000 -22308098110680728858872839/1000000000000000000000000000 7169601062651629285605999/125000000000000000000000000 -43434663135166950210474891/1000000000000000000000000000
-6163559773672967374031907/200000000000000000000000000 1493388539746595235267611/40000000000000000000000000 -4564737412282606362677033/100000000000000000000000000 5405100183230723679174047/200000000000000000000000000 -1737145489730275692486727/25000000000000000000000000 10523922949668778533986243/200000000000000000000000000
18839726663832028962101121/500000000000000000000000000 -4564737412282606362677033/100000000000000000000000000 13952716984575353967893699/250000000000000000000000000 -16521395716425850906435541/500000000000000000000000000 5309812414186137638669581/62500000000000000000000000 -32167747062317790616383329/500000000000000000000000000
-22308098110680728858872839/1000000000000000000000000000 5405100183230723679174047/200000000000000000000000000 -16521395716425850906435541/500000000000000000000000000 19562965171621145075137619/1000000000000000000000000000 -6287342613753270760053979/125000000000000000000000000 38089791336695852425724711/1000000000000000000000000000
7169601062651629285605999/125000000000000000000000000 -1737145489730275692486727/25000000000000000000000000 5309812414186137638669581/62500000000000000000000000 -6287342613753270760053979/125000000000000000000000000 2020689440272718112328739/15625000000000000000000000 -12241680446662700349713551/125000000000000000000000000
-43434663135166950210474891/1000000000000000000000000000 10523922949668778533986243/200000000000000000000000000 -32167747062317790616383329/500000000000000000000000000 38089791336695852425724711/1000000000000000000000000000 -12241680446662700349713551/125000000000000000000000000 74162183050740602758806059/1000000000000000000000000000


--- 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 :
1136633250568168586957433131/1000000000000000000000000000 963689149257598072528800851/1000000000000000000000000000 16256683030010346690915803/31250000000000000000000000 -11068608792497723060608671/500000000000000000000000000 10541403200585151520927907/25000000000000000000000000 116966650020824506144864889/500000000000000000000000000 -59211969064869754510514923/200000000000000000000000000 -1663052651180523912878908677/1000000000000000000000000000 -308277662950182821029765467/1000000000000000000000000000 -5916509451343521873459819/250000000000000000000000000 -64876718326322178235186391/62500000000000000000000000 -838199622040708772431647427/1000000000000000000000000000
963689149257598072528800851/1000000000000000000000000000 848562181042580993553991879/1000000000000000000000000000 261339728626462552526368457/500000000000000000000000000 -3027426156319463597182959/250000000000000000000000000 227649984296273295163276969/500000000000000000000000000 17758896606913075662402769/62500000000000000000000000 -274769049848313286183503237/1000000000000000000000000000 -1582842163880295197451558393/1000000000000000000000000000 -282267412663912508244974091/1000000000000000000000000000 -41014054998064783093830107/500000000000000000000000000 -488474638546662892585992531/500000000000000000000000000 -30132456380181055709843553/40000000000000000000000000
16256683030010346690915803/31250000000000000000000000 261339728626462552526368457/500000000000000000000000000 201968071767424055618058081/200000000000000000000000000 -237960555988032714444521649/1000000000000000000000000000 764535038327068202457447867/1000000000000000000000000000 -365315728028606668554643547/1000000000000000000000000000 -486043112465131007256634569/1000000000000000000000000000 -354548147282046236752118377/500000000000000000000000000 -57188201448406568850791421/250000000000000000000000000 -758765429596336175781528241/1000000000000000000000000000 -335058394370810605584684261/1000000000000000000000000000 -780947129350000824433507609/1000000000000000000000000000
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-838199622040708772431647427/1000000000000000000000000000 -30132456380181055709843553/40000000000000000000000000 -780947129350000824433507609/1000000000000000000000000000 -15190980969380559950438643/125000000000000000000000000 -490110038079694472290197479/1000000000000000000000000000 -253676003434245077594358039/1000000000000000000000000000 66893270181701652018052659/500000000000000000000000000 108186926086956011305651513/100000000000000000000000000 246168871891381092930195453/1000000000000000000000000000 529719427942007071568218233/1000000000000000000000000000 30051757073495725137733959/31250000000000000000000000 1710316573580332535279872187/1000000000000000000000000000


--- 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 :
911959329926263039340759513/1000000000000000000000000000 -118938196413772063098875027/125000000000000000000000000 2568092569590667734615831/12500000000000000000000000 -1088639762732797451866780603/1000000000000000000000000000
-118938196413772063098875027/125000000000000000000000000 3844446830642843635149057143/1000000000000000000000000000 -428652967312213065412278213/500000000000000000000000000 4555606103889024843253824659/1000000000000000000000000000
2568092569590667734615831/12500000000000000000000000 -428652967312213065412278213/500000000000000000000000000 218852520804733694124675123/250000000000000000000000000 -508140295746359256179300649/500000000000000000000000000
-1088639762732797451866780603/1000000000000000000000000000 4555606103889024843253824659/1000000000000000000000000000 -508140295746359256179300649/500000000000000000000000000 337534538394122120504029937/62500000000000000000000000


--- 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 :
876403745454284696107082939/500000000000000000000000000 640562828629545836907549633/500000000000000000000000000 97455074984030526781553463/250000000000000000000000000 126250568428450402355409137/500000000000000000000000000 -6644225302895513691452411/62500000000000000000000000 14273610755098217176350383/50000000000000000000000000 -196059019838598183296636983/100000000000000000000000000 -8724619876584255537403843/100000000000000000000000000 -229152214175346729373518883/500000000000000000000000000 -493216070807976587062283717/500000000000000000000000000
640562828629545836907549633/500000000000000000000000000 1249346396834440077338831963/200000000000000000000000000 31559459909659394188984439/125000000000000000000000000 21888446483889189305761621/250000000000000000000000000 -3245779225376094595853793/50000000000000000000000000 -530114015743342965706130131/250000000000000000000000000 -1387182865619439992520738723/1000000000000000000000000000 -596720105797003679451186219/500000000000000000000000000 -18617890824450106800822279/15625000000000000000000000 -196059019838598183296636983/100000000000000000000000000
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126250568428450402355409137/500000000000000000000000000 21888446483889189305761621/250000000000000000000000000 -37722962048502743209677119/62500000000000000000000000 792729059505185898096018543/1000000000000000000000000000 40749198973662955770558621/250000000000000000000000000 123967997586829766415408197/250000000000000000000000000 -18617890824450106800822279/15625000000000000000000000 298809439878919290827662533/500000000000000000000000000 -61769487863267715672693227/1000000000000000000000000000 -229152214175346729373518883/500000000000000000000000000
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-493216070807976587062283717/500000000000000000000000000 -196059019838598183296636983/100000000000000000000000000 97455074984030526781553463/250000000000000000000000000 -229152214175346729373518883/500000000000000000000000000 -6644225302895513691452411/62500000000000000000000000 14273610755098217176350383/50000000000000000000000000 640562828629545836907549633/500000000000000000000000000 -8724619876584255537403843/100000000000000000000000000 126250568428450402355409137/500000000000000000000000000 876403745454284696107082939/500000000000000000000000000


--- 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 :
61263891223531078141490509/20000000000000000000000000 127792727350874690177464757/200000000000000000000000000 40806003867402704258518181/8000000000000000000000000 2500338762829712354654771/1250000000000000000000000 163326990604565898023249199/100000000000000000000000000 -34789439498368320827077171/200000000000000000000000000
127792727350874690177464757/200000000000000000000000000 204026310236801094920911589/200000000000000000000000000 20201858999418408352110289/40000000000000000000000000 888400160665170178105077/781250000000000000000000 -34789439498368320827077171/200000000000000000000000000 -12718457688472557045368107/200000000000000000000000000
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2500338762829712354654771/1250000000000000000000000 888400160665170178105077/781250000000000000000000 0/1 69952708699455643976689517/12500000000000000000000000 -2500338762829712354654771/1250000000000000000000000 -888400160665170178105077/781250000000000000000000
163326990604565898023249199/100000000000000000000000000 -34789439498368320827077171/200000000000000000000000000 40806003867402704258518181/8000000000000000000000000 -2500338762829712354654771/1250000000000000000000000 61263891223531078141490509/20000000000000000000000000 127792727350874690177464757/200000000000000000000000000
-34789439498368320827077171/200000000000000000000000000 -12718457688472557045368107/200000000000000000000000000 20201858999418408352110289/40000000000000000000000000 -888400160665170178105077/781250000000000000000000 127792727350874690177464757/200000000000000000000000000 204026310236801094920911589/200000000000000000000000000


--- 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 :
20016417008259036146942599/250000000000000000000000000 42984713879414014412661841/250000000000000000000000000 -13783360797050110501310331/50000000000000000000000000 4194193333133087913349159/125000000000000000000000000 -86425269604265874176652967/250000000000000000000000000 -13783360797050110501310331/50000000000000000000000000 3228214718180370414700477/31250000000000000000000000 42984713879414014412661841/250000000000000000000000000 20016417008259036146942599/250000000000000000000000000
42984713879414014412661841/250000000000000000000000000 92308509886295258984660119/250000000000000000000000000 -29599394332835313604156029/50000000000000000000000000 9006916687701056616488881/125000000000000000000000000 -185595927800552016383925553/250000000000000000000000000 -29599394332835313604156029/50000000000000000000000000 6932503751547570683493643/31250000000000000000000000 92308509886295258984660119/250000000000000000000000000 42984713879414014412661841/250000000000000000000000000
-13783360797050110501310331/50000000000000000000000000 -29599394332835313604156029/50000000000000000000000000 9491260837704829546111839/10000000000000000000000000 -2888133272768165309602971/25000000000000000000000000 59512682636777969332797723/50000000000000000000000000 9491260837704829546111839/10000000000000000000000000 -2222957693810435716865913/6250000000000000000000000 -29599394332835313604156029/50000000000000000000000000 -13783360797050110501310331/50000000000000000000000000
4194193333133087913349159/125000000000000000000000000 9006916687701056616488881/125000000000000000000000000 -2888133272768165309602971/25000000000000000000000000 878841488386241061362119/62500000000000000000000000 -18109349412478560235237447/125000000000000000000000000 -2888133272768165309602971/25000000000000000000000000 676432582481047367059357/15625000000000000000000000 9006916687701056616488881/125000000000000000000000000 4194193333133087913349159/125000000000000000000000000
-86425269604265874176652967/250000000000000000000000000 -185595927800552016383925553/250000000000000000000000000 59512682636777969332797723/50000000000000000000000000 -18109349412478560235237447/125000000000000000000000000 373160052725125603026765511/250000000000000000000000000 59512682636777969332797723/50000000000000000000000000 -13938524924020063687661341/31250000000000000000000000 -185595927800552016383925553/250000000000000000000000000 -86425269604265874176652967/250000000000000000000000000
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42984713879414014412661841/250000000000000000000000000 92308509886295258984660119/250000000000000000000000000 -29599394332835313604156029/50000000000000000000000000 9006916687701056616488881/125000000000000000000000000 -185595927800552016383925553/250000000000000000000000000 -29599394332835313604156029/50000000000000000000000000 6932503751547570683493643/31250000000000000000000000 92308509886295258984660119/250000000000000000000000000 42984713879414014412661841/250000000000000000000000000
20016417008259036146942599/250000000000000000000000000 42984713879414014412661841/250000000000000000000000000 -13783360797050110501310331/50000000000000000000000000 4194193333133087913349159/125000000000000000000000000 -86425269604265874176652967/250000000000000000000000000 -13783360797050110501310331/50000000000000000000000000 3228214718180370414700477/31250000000000000000000000 42984713879414014412661841/250000000000000000000000000 20016417008259036146942599/250000000000000000000000000


--- 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 :
204885229139243536912166427/1000000000000000000000000000 -154983387623596751/500000000000000000000000000 104970468470838445669042193/200000000000000000000000000 -104970468470838445669042193/200000000000000000000000000 -26242617144676540257101223/50000000000000000000000000 -305503633580137102097447761/500000000000000000000000000 137546398915716037/1000000000000000000000000000
-154983387623596751/500000000000000000000000000 1023786524732014758302380759/500000000000000000000000000 176949993218608214666809529/100000000000000000000000000 -176949993218608214666809529/100000000000000000000000000 221187491332070469919225959/125000000000000000000000000 -451017702201912151/500000000000000000000000000 -305503633580137102097447761/500000000000000000000000000
104970468470838445669042193/200000000000000000000000000 176949993218608214666809529/100000000000000000000000000 611855255413258348276547927/200000000000000000000000000 -611855255413258348276547927/200000000000000000000000000 0/1 -176949993218608214666809529/100000000000000000000000000 -104970468470838445669042193/200000000000000000000000000
-104970468470838445669042193/200000000000000000000000000 -176949993218608214666809529/100000000000000000000000000 -611855255413258348276547927/200000000000000000000000000 611855255413258348276547927/200000000000000000000000000 0/1 176949993218608214666809529/100000000000000000000000000 104970468470838445669042193/200000000000000000000000000
-26242617144676540257101223/50000000000000000000000000 221187491332070469919225959/125000000000000000000000000 0/1 0/1 3059276274486836953391041859/1000000000000000000000000000 221187491332070469919225959/125000000000000000000000000 -26242617144676540257101223/50000000000000000000000000
-305503633580137102097447761/500000000000000000000000000 -451017702201912151/500000000000000000000000000 -176949993218608214666809529/100000000000000000000000000 176949993218608214666809529/100000000000000000000000000 221187491332070469919225959/125000000000000000000000000 1023786524732014758302380759/500000000000000000000000000 -154983387623596751/500000000000000000000000000
137546398915716037/1000000000000000000000000000 -305503633580137102097447761/500000000000000000000000000 -104970468470838445669042193/200000000000000000000000000 104970468470838445669042193/200000000000000000000000000 -26242617144676540257101223/50000000000000000000000000 -154983387623596751/500000000000000000000000000 204885229139243536912166427/1000000000000000000000000000


--- 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 :
1710316573580332535279872187/1000000000000000000000000000 -253676003434245077594358039/1000000000000000000000000000 529719427942007071568218233/1000000000000000000000000000 -15190980969380559950438643/125000000000000000000000000 108186926086956011305651513/100000000000000000000000000 -30132456380181055709843553/40000000000000000000000000 30051757073495725137733959/31250000000000000000000000 -490110038079694472290197479/1000000000000000000000000000 246168871891381092930195453/1000000000000000000000000000 -780947129350000824433507609/1000000000000000000000000000 66893270181701652018052659/500000000000000000000000000 -838199622040708772431647427/1000000000000000000000000000
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529719427942007071568218233/1000000000000000000000000000 -925972367583563780855111177/1000000000000000000000000000 1327784099654985237179198073/1000000000000000000000000000 -930020133514785445590972663/1000000000000000000000000000 -71574470827769260931950447/100000000000000000000000000 -41014054998064783093830107/500000000000000000000000000 205372803216765509528141369/200000000000000000000000000 1493599666267867592191129/1000000000000000000000000000 110616340241227175605730703/250000000000000000000000000 -758765429596336175781528241/1000000000000000000000000000 207827434413614509966233061/1000000000000000000000000000 -5916509451343521873459819/250000000000000000000000000
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66893270181701652018052659/500000000000000000000000000 604445091312460782417679891/1000000000000000000000000000 207827434413614509966233061/1000000000000000000000000000 422013489232831816061322609/1000000000000000000000000000 447891895887812725358590303/1000000000000000000000000000 -274769049848313286183503237/1000000000000000000000000000 -33146949506447587887599513/200000000000000000000000000 -96464208534534677788010853/200000000000000000000000000 -64704661101251801930855577/1000000000000000000000000000 -486043112465131007256634569/1000000000000000000000000000 495136682827196440269898939/500000000000000000000000000 -59211969064869754510514923/200000000000000000000000000
-838199622040708772431647427/1000000000000000000000000000 116966650020824506144864889/500000000000000000000000000 -5916509451343521873459819/250000000000000000000000000 -11068608792497723060608671/500000000000000000000000000 -1663052651180523912878908677/1000000000000000000000000000 963689149257598072528800851/1000000000000000000000000000 -64876718326322178235186391/62500000000000000000000000 10541403200585151520927907/25000000000000000000000000 -308277662950182821029765467/1000000000000000000000000000 16256683030010346690915803/31250000000000000000000000 -59211969064869754510514923/200000000000000000000000000 1136633250568168586957433131/1000000000000000000000000000


--- 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 :
337534538394122120504029937/62500000000000000000000000 4555606103889024843253824659/1000000000000000000000000000 -508140295746359256179300649/500000000000000000000000000 -1088639762732797451866780603/1000000000000000000000000000
4555606103889024843253824659/1000000000000000000000000000 3844446830642843635149057143/1000000000000000000000000000 -428652967312213065412278213/500000000000000000000000000 -118938196413772063098875027/125000000000000000000000000
-508140295746359256179300649/500000000000000000000000000 -428652967312213065412278213/500000000000000000000000000 218852520804733694124675123/250000000000000000000000000 2568092569590667734615831/12500000000000000000000000
-1088639762732797451866780603/1000000000000000000000000000 -118938196413772063098875027/125000000000000000000000000 2568092569590667734615831/12500000000000000000000000 911959329926263039340759513/1000000000000000000000000000


--- 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 :
2055691444693830998300797767/1000000000000000000000000000 52764035448283411148638011/100000000000000000000000000 12689095610775264971687503/250000000000000000000000000 -271692560186918393619586561/250000000000000000000000000 -235496936211487885685383017/500000000000000000000000000 36682871052362641427588649/1000000000000000000000000000
52764035448283411148638011/100000000000000000000000000 13421289404952401355528993/50000000000000000000000000 -45016646582634117441943/31250000000000000000000000 -32557961129428248382969361/125000000000000000000000000 -6803925122234911033689891/50000000000000000000000000 -27500427931547469134381913/500000000000000000000000000
12689095610775264971687503/250000000000000000000000000 -45016646582634117441943/31250000000000000000000000 1896157692784666752074241/25000000000000000000000000 -855390284350025637911837/62500000000000000000000000 -1402057730177494533404309/62500000000000000000000000 -5614825320653581234755509/125000000000000000000000000
-271692560186918393619586561/250000000000000000000000000 -32557961129428248382969361/125000000000000000000000000 -855390284350025637911837/62500000000000000000000000 9195602731344345790473397/15625000000000000000000000 29688412979337549495816541/125000000000000000000000000 -17032226811744322993914887/250000000000000000000000000
-235496936211487885685383017/500000000000000000000000000 -6803925122234911033689891/50000000000000000000000000 -1402057730177494533404309/62500000000000000000000000 29688412979337549495816541/125000000000000000000000000 29338782739749440269046217/250000000000000000000000000 15822740126437747199124291/500000000000000000000000000
36682871052362641427588649/1000000000000000000000000000 -27500427931547469134381913/500000000000000000000000000 -5614825320653581234755509/125000000000000000000000000 -17032226811744322993914887/250000000000000000000000000 15822740126437747199124291/500000000000000000000000000 170527754697178762390568133/1000000000000000000000000000


--- 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 :
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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 :
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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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