#Density : 23254236655503303032812837619/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 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 :
58432834163218593495577/500000000000000000000000 -1721397847824590147872161/100000000000000000000000000 -31899697766749834202250147/200000000000000000000000000 -8865187744577334594057877/100000000000000000000000000 -5674619869573587369714231/200000000000000000000000000 33650296454368458132401853/200000000000000000000000000
-1721397847824590147872161/100000000000000000000000000 633892440981488296349213/250000000000000000000000000 11746835462523068001332307/500000000000000000000000000 3264541958934667286108503/250000000000000000000000000 261204770534837024316741/62500000000000000000000000 -6195740451914382347022707/250000000000000000000000000
-31899697766749834202250147/200000000000000000000000000 11746835462523068001332307/500000000000000000000000000 217683844233787353405807253/1000000000000000000000000000 60496126393676198903792517/500000000000000000000000000 9680915137357624369741623/250000000000000000000000000 -114814973253896218752239763/500000000000000000000000000
-8865187744577334594057877/100000000000000000000000000 3264541958934667286108503/250000000000000000000000000 60496126393676198903792517/500000000000000000000000000 18957840950413580223102523/250000000000000000000000000 4631644202238673534056609/250000000000000000000000000 -3988502889630045915928859/31250000000000000000000000
-5674619869573587369714231/200000000000000000000000000 261204770534837024316741/62500000000000000000000000 9680915137357624369741623/250000000000000000000000000 4631644202238673534056609/250000000000000000000000000 14133474646329071938665843/1000000000000000000000000000 -40848746181693765649125459/1000000000000000000000000000
33650296454368458132401853/200000000000000000000000000 -6195740451914382347022707/250000000000000000000000000 -114814973253896218752239763/500000000000000000000000000 -3988502889630045915928859/31250000000000000000000000 -40848746181693765649125459/1000000000000000000000000000 242231629631370000349749167/1000000000000000000000000000


--- 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 :
14420823219081912770639577/250000000000000000000000000 220904132031539674728549/2500000000000000000000000 -46252435261482309599284371/250000000000000000000000000 -46661848780647629001177123/250000000000000000000000000 5312288199323280934612311/250000000000000000000000000 14436040997233097922699/12500000000000000000000000
220904132031539674728549/2500000000000000000000000 13535603289009635074410477/100000000000000000000000000 -28340557014145845652589637/100000000000000000000000000 -1143656785444697556925431/4000000000000000000000000 651006615056535066039403/20000000000000000000000000 4422744862918720896019/2500000000000000000000000
-46252435261482309599284371/250000000000000000000000000 -28340557014145845652589637/100000000000000000000000000 296694264275685051109738851/500000000000000000000000000 299320518270021880316600133/500000000000000000000000000 -34076593589249910489374581/500000000000000000000000000 -11575310738674821472343/3125000000000000000000000
-46661848780647629001177123/250000000000000000000000000 -1143656785444697556925431/4000000000000000000000000 299320518270021880316600133/500000000000000000000000000 301970019124420558708391979/500000000000000000000000000 -34378229990093857099376203/500000000000000000000000000 -23355544276644654140713/6250000000000000000000000
5312288199323280934612311/250000000000000000000000000 651006615056535066039403/20000000000000000000000000 -34076593589249910489374581/500000000000000000000000000 -34378229990093857099376203/500000000000000000000000000 3913841184229704522951371/500000000000000000000000000 2658946989874358362891/6250000000000000000000000
14436040997233097922699/12500000000000000000000000 4422744862918720896019/2500000000000000000000000 -11575310738674821472343/3125000000000000000000000 -23355544276644654140713/6250000000000000000000000 2658946989874358362891/6250000000000000000000000 18985165679287448625843/625000000000000000000000


--- 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 1684871/125000000


--- 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 237581/125000000 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 :
678677/200000000


--- 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 :
189225516267947977396917101/500000000000000000000000000 1731511101519494937867388281/1000000000000000000000000000 -1791019939368142838112203/15625000000000000000000000 -2230868064675699410264914749/1000000000000000000000000000 -307340516513328748640969707/1000000000000000000000000000 -78139852469856235435420409/250000000000000000000000000 243675439790098889035163193/1000000000000000000000000000 216023940095541892346831343/1000000000000000000000000000 51414130852884409056842033/1000000000000000000000000000 484710314073193485251715157/1000000000000000000000000000 -21318820205946977324137667/50000000000000000000000000 -103869340832719272362429509/250000000000000000000000000
1731511101519494937867388281/1000000000000000000000000000 3964047447678891679152991931/500000000000000000000000000 -570976816084249033893289341/1000000000000000000000000000 -5108783989185745596877969371/500000000000000000000000000 -725057675572679818537611171/500000000000000000000000000 -304459837186745848303694127/200000000000000000000000000 66590110714957824951592867/50000000000000000000000000 1127635205192103528206374829/1000000000000000000000000000 140656597991379599938750081/500000000000000000000000000 68411410770924760854089311/31250000000000000000000000 -2035191690554147909746847557/1000000000000000000000000000 -2013456388693809776877514997/1000000000000000000000000000
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-103869340832719272362429509/250000000000000000000000000 -2013456388693809776877514997/1000000000000000000000000000 62556930635461493437010291/62500000000000000000000000 2651667295222660475819411497/1000000000000000000000000000 232780515037573223177479593/200000000000000000000000000 2046569966776644371785819239/1000000000000000000000000000 -4346543355253864866893078569/1000000000000000000000000000 -356997656647071944718862447/125000000000000000000000000 -478240485031994283360619361/500000000000000000000000000 -93707577583635744964064163/500000000000000000000000000 90403251091873615183230077/50000000000000000000000000 155534341173028738888077601/40000000000000000000000000


--- 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 :
246591479573131522399603753/125000000000000000000000000 44473206604207727056458383/31250000000000000000000000 602012892298373148980159443/250000000000000000000000000 14620000596650848474798307/250000000000000000000000000
44473206604207727056458383/31250000000000000000000000 256666270427105613593295819/250000000000000000000000000 54287041431657539930231689/31250000000000000000000000 2109394246792567156022893/50000000000000000000000000
602012892298373148980159443/250000000000000000000000000 54287041431657539930231689/31250000000000000000000000 1675858037055717822415181473/500000000000000000000000000 47943819776805508884083177/500000000000000000000000000
14620000596650848474798307/250000000000000000000000000 2109394246792567156022893/50000000000000000000000000 47943819776805508884083177/500000000000000000000000000 832708423963084004784353199/500000000000000000000000000


--- 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 :
77395508133473333969938999/100000000000000000000000000 -160667295569518585729246483/250000000000000000000000000 -438707602202004348027113091/500000000000000000000000000 47450474045698663085427623/500000000000000000000000000 -22692003228019252323790489/125000000000000000000000000 61562694689620753215482063/500000000000000000000000000 -103731796979636400588292349/250000000000000000000000000 729350915722209308696679367/500000000000000000000000000 -12443201110511942231165331/500000000000000000000000000 -35105117255661689504792709/62500000000000000000000000
-160667295569518585729246483/250000000000000000000000000 1667666540873744505896299/3125000000000000000000000 9107242227808210392586933/12500000000000000000000000 -9850364050850220819903949/125000000000000000000000000 75371046629658372331830093/500000000000000000000000000 -51119822893798718454312467/500000000000000000000000000 86135785768969754154494527/250000000000000000000000000 -605631215435139721079235279/500000000000000000000000000 2583115624026457271547159/125000000000000000000000000 1821890053770843445320487/3906250000000000000000000
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-35105117255661689504792709/62500000000000000000000000 1821890053770843445320487/3906250000000000000000000 636765917843226347373234027/1000000000000000000000000000 -264161880819854107094487323/1000000000000000000000000000 -25429374980254828927817663/500000000000000000000000000 -125535270014300298416239647/1000000000000000000000000000 263340532637822617812760923/1000000000000000000000000000 -1058622652817440067951032517/1000000000000000000000000000 -1280425947561310070456029/500000000000000000000000000 1671718674501086084644540471/1000000000000000000000000000


--- 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 :
1155833236706522525341927299/200000000000000000000000000 410043668022986622776210803/200000000000000000000000000 20532884744286948333746487/10000000000000000000000000 -36410157232303495313845089/25000000000000000000000000 27401336668052273204378937/200000000000000000000000000 1429050191524917537534985777/1000000000000000000000000000
410043668022986622776210803/200000000000000000000000000 49653513591244069518529671/40000000000000000000000000 2992000206556604547917231/3125000000000000000000000 -27502033381870349706307473/62500000000000000000000000 29641399039903288675820409/1000000000000000000000000000 67145065437037639133939021/200000000000000000000000000
20532884744286948333746487/10000000000000000000000000 2992000206556604547917231/3125000000000000000000000 576535067593690466744148651/200000000000000000000000000 -200709198818911856867658621/500000000000000000000000000 52381060225401031186097751/1000000000000000000000000000 448188237276470469643237193/1000000000000000000000000000
-36410157232303495313845089/25000000000000000000000000 -27502033381870349706307473/62500000000000000000000000 -200709198818911856867658621/500000000000000000000000000 141178801339745020436607639/250000000000000000000000000 -2037705319191657723122889/500000000000000000000000000 -168432700983198718361195337/500000000000000000000000000
27401336668052273204378937/200000000000000000000000000 29641399039903288675820409/1000000000000000000000000000 52381060225401031186097751/1000000000000000000000000000 -2037705319191657723122889/500000000000000000000000000 348156779504763422062114623/500000000000000000000000000 347724366766889319998367/6250000000000000000000000
1429050191524917537534985777/1000000000000000000000000000 67145065437037639133939021/200000000000000000000000000 448188237276470469643237193/1000000000000000000000000000 -168432700983198718361195337/500000000000000000000000000 347724366766889319998367/6250000000000000000000000 96008875361642504902582997/125000000000000000000000000


--- 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 :
1573985126463299880738828963/1000000000000000000000000000 265615380298073692986602723/1000000000000000000000000000 -22619643072066965259357097/8000000000000000000000000 -108200372285930970133942577/1000000000000000000000000000 -1286093627823715969858323771/500000000000000000000000000 -431063101526897786383642043/500000000000000000000000000 638424757742770122332044171/1000000000000000000000000000 1032198048279751022233053519/1000000000000000000000000000 471875536705068708578370893/1000000000000000000000000000
265615380298073692986602723/1000000000000000000000000000 22411752520628200072901579/500000000000000000000000000 -47714277884361606801525541/100000000000000000000000000 -2282397920027412364201521/125000000000000000000000000 -13564544000048191279756997/31250000000000000000000000 -145486749218942395272699367/1000000000000000000000000000 6733522762083792106907911/62500000000000000000000000 174186955535846380619234509/1000000000000000000000000000 19907653147688740753667309/250000000000000000000000000
-22619643072066965259357097/8000000000000000000000000 -47714277884361606801525541/100000000000000000000000000 1269787086000194190818790661/250000000000000000000000000 97183804353790070154343977/500000000000000000000000000 577574128749845516725600679/125000000000000000000000000 1548695303829556560865745791/1000000000000000000000000000 -573422673510290144669683439/500000000000000000000000000 -1854206802816510596790262999/1000000000000000000000000000 -21191544362158312687170053/25000000000000000000000000
-108200372285930970133942577/1000000000000000000000000000 -2282397920027412364201521/125000000000000000000000000 97183804353790070154343977/500000000000000000000000000 6798697660093432792891853/250000000000000000000000000 44204931476196638460620839/250000000000000000000000000 50213313782906605249357673/1000000000000000000000000000 -2194359886366864961566057/50000000000000000000000000 -76970679131694340213294207/1000000000000000000000000000 -3821333004143995438643143/100000000000000000000000000
-1286093627823715969858323771/500000000000000000000000000 -13564544000048191279756997/31250000000000000000000000 577574128749845516725600679/125000000000000000000000000 44204931476196638460620839/250000000000000000000000000 131357405457615478014914061/31250000000000000000000000 704438051599665666248283661/500000000000000000000000000 -260826483990609981812158049/250000000000000000000000000 -843402717244510827918984909/500000000000000000000000000 -38556661689398763803412719/50000000000000000000000000
-431063101526897786383642043/500000000000000000000000000 -145486749218942395272699367/1000000000000000000000000000 1548695303829556560865745791/1000000000000000000000000000 50213313782906605249357673/1000000000000000000000000000 704438051599665666248283661/500000000000000000000000000 752795839429102663879624413/1000000000000000000000000000 -349687365559534743490651131/1000000000000000000000000000 -143871808567544799100840847/250000000000000000000000000 -367609262268599606162977611/1000000000000000000000000000
638424757742770122332044171/1000000000000000000000000000 6733522762083792106907911/62500000000000000000000000 -573422673510290144669683439/500000000000000000000000000 -2194359886366864961566057/50000000000000000000000000 -260826483990609981812158049/250000000000000000000000000 -349687365559534743490651131/1000000000000000000000000000 64737932469341265871103901/250000000000000000000000000 418670276994518381395067429/1000000000000000000000000000 95698815916152791634574101/500000000000000000000000000
1032198048279751022233053519/1000000000000000000000000000 174186955535846380619234509/1000000000000000000000000000 -1854206802816510596790262999/1000000000000000000000000000 -76970679131694340213294207/1000000000000000000000000000 -843402717244510827918984909/500000000000000000000000000 -143871808567544799100840847/250000000000000000000000000 418670276994518381395067429/1000000000000000000000000000 149958047716051651128301083/200000000000000000000000000 260321403244675043207293711/1000000000000000000000000000
471875536705068708578370893/1000000000000000000000000000 19907653147688740753667309/250000000000000000000000000 -21191544362158312687170053/25000000000000000000000000 -3821333004143995438643143/100000000000000000000000000 -38556661689398763803412719/50000000000000000000000000 -367609262268599606162977611/1000000000000000000000000000 95698815916152791634574101/500000000000000000000000000 260321403244675043207293711/1000000000000000000000000000 83208629114239112997843327/100000000000000000000000000


--- 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 :
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 3300798006240883341261749603/1000000000000000000000000000 -24803112567498873141722947/50000000000000000000000000 108141274815518748497209183/250000000000000000000000000 -1557066243105594898026121/250000000000000000000000000 4909934977826122895873901/25000000000000000000000000
0/1 0/1 -24803112567498873141722947/50000000000000000000000000 3300798008601006390408764081/1000000000000000000000000000 -3237300859424067045038307797/1000000000000000000000000000 3114132878092226936357717/500000000000000000000000000 -39279480527888656325411221/200000000000000000000000000
0/1 0/1 108141274815518748497209183/250000000000000000000000000 -3237300859424067045038307797/1000000000000000000000000000 3300798009547601716856442997/1000000000000000000000000000 3114133069603579339815831/500000000000000000000000000 196397402758789027856309361/1000000000000000000000000000
0/1 0/1 -1557066243105594898026121/250000000000000000000000000 3114132878092226936357717/500000000000000000000000000 3114133069603579339815831/500000000000000000000000000 29988674458386095823080383/50000000000000000000000000 40488583494003857/500000000000000000000000000
0/1 0/1 4909934977826122895873901/25000000000000000000000000 -39279480527888656325411221/200000000000000000000000000 196397402758789027856309361/1000000000000000000000000000 40488583494003857/500000000000000000000000000 359456067313142696427516601/1000000000000000000000000000


--- 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 :
61171265799208500427943839/500000000000000000000000000 -296790573034650516816623/25000000000000000000000000 38272261346180490673025563/1000000000000000000000000000 1341780251326274900319469/500000000000000000000000000 -106107246975476421222202331/1000000000000000000000000000 -2312247982713165650062983/1000000000000000000000000000 16343346340591010928711619/1000000000000000000000000000 335843254680535367470741/25000000000000000000000000 580500336762043008513401/200000000000000000000000000 -26635609101571488481723159/1000000000000000000000000000 -10378656594432548695748063/125000000000000000000000000 -32466283557625263043262137/1000000000000000000000000000
-296790573034650516816623/25000000000000000000000000 8024293896320576624324917/50000000000000000000000000 38178941478095442785390107/500000000000000000000000000 -29058544370293993687237/62500000000000000000000000 -77900505174304911745944579/1000000000000000000000000000 -1490230306911734666006721/62500000000000000000000000 22372573251072207007121709/1000000000000000000000000000 22752318717745585497678123/1000000000000000000000000000 1263988394212799861680199/125000000000000000000000000 -58305539671474535096753559/1000000000000000000000000000 5945795284297890941479149/1000000000000000000000000000 -112782623958169251322597161/500000000000000000000000000
38272261346180490673025563/1000000000000000000000000000 38178941478095442785390107/500000000000000000000000000 864806693997184662667451419/1000000000000000000000000000 -6057435355637698312606871/1000000000000000000000000000 -225897208369207908307370267/500000000000000000000000000 6155029060056305723026409/1000000000000000000000000000 98308685409459704951058119/1000000000000000000000000000 38006316695297298658671179/500000000000000000000000000 13762335024767716929012683/500000000000000000000000000 -301108854779675169520434127/1000000000000000000000000000 -42518399419116314419439211/125000000000000000000000000 -268628910007540107354258357/1000000000000000000000000000
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580500336762043008513401/200000000000000000000000000 1263988394212799861680199/125000000000000000000000000 13762335024767716929012683/500000000000000000000000000 -4061029692732744180704417/1000000000000000000000000000 -2006396028177900249134309/1000000000000000000000000000 7064949566439149952696591/500000000000000000000000000 8750164698818542677833379/500000000000000000000000000 -30483899588699311034902779/1000000000000000000000000000 106527449120759756182682931/1000000000000000000000000000 -135078562639820651947652749/1000000000000000000000000000 14655782801300887111909329/1000000000000000000000000000 -27987956306856014157614511/1000000000000000000000000000
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-10378656594432548695748063/125000000000000000000000000 5945795284297890941479149/1000000000000000000000000000 -42518399419116314419439211/125000000000000000000000000 -13391221414105260230000257/500000000000000000000000000 186530550199614666374957427/500000000000000000000000000 -6428847198177975185420697/50000000000000000000000000 -95275943954144309647785879/1000000000000000000000000000 -63270703140016870612461121/500000000000000000000000000 14655782801300887111909329/1000000000000000000000000000 109563074174361153501858287/1000000000000000000000000000 1391403336653143642817082043/1000000000000000000000000000 -18206829367558312403198087/250000000000000000000000000
-32466283557625263043262137/1000000000000000000000000000 -112782623958169251322597161/500000000000000000000000000 -268628910007540107354258357/1000000000000000000000000000 -1068525342245370514645899/200000000000000000000000000 195951437288577240604706281/1000000000000000000000000000 -2681728998339498581488917/200000000000000000000000000 -15241123694755319204119133/200000000000000000000000000 -1141993561722088226567079/20000000000000000000000000 -27987956306856014157614511/1000000000000000000000000000 56184402791924702940224111/500000000000000000000000000 -18206829367558312403198087/250000000000000000000000000 871134982154581681806547201/1000000000000000000000000000


--- 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 :
1015288210177120565829060821/200000000000000000000000000 403411987174423030159719/1600000000000000000000000 4109343060378526968019818723/1000000000000000000000000000 253796094804510964553061313/1000000000000000000000000000
403411987174423030159719/1600000000000000000000000 42080093738720198918632911/500000000000000000000000000 363837798654702041261879019/1000000000000000000000000000 2519742663308736659441079/50000000000000000000000000
4109343060378526968019818723/1000000000000000000000000000 363837798654702041261879019/1000000000000000000000000000 3450417771871285101425724753/500000000000000000000000000 846856534632952431504626931/1000000000000000000000000000
253796094804510964553061313/1000000000000000000000000000 2519742663308736659441079/50000000000000000000000000 846856534632952431504626931/1000000000000000000000000000 346330055428252727489289833/500000000000000000000000000


--- 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 4964165875379613063942893/200000000000000000000000000 -1667441248832746021123029/500000000000000000000000000 -1853893017506296424817877/1000000000000000000000000000 -6660127308690965577715291/1000000000000000000000000000 0/1
0/1 -1667441248832746021123029/500000000000000000000000000 18209380859065797348238799/500000000000000000000000000 -2636176771135644046471309/1000000000000000000000000000 -5403781274325506694634743/1000000000000000000000000000 0/1
0/1 -1853893017506296424817877/1000000000000000000000000000 -2636176771135644046471309/1000000000000000000000000000 68895276482910889319543303/1000000000000000000000000000 -9581131847325939859075721/1000000000000000000000000000 0/1
0/1 -6660127308690965577715291/1000000000000000000000000000 -5403781274325506694634743/1000000000000000000000000000 -9581131847325939859075721/1000000000000000000000000000 30102723229966195552016299/1000000000000000000000000000 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 :
83144220227424854330905117/1000000000000000000000000000 -7931964189852399786490797/250000000000000000000000000 -25708182227308934869997581/1000000000000000000000000000 134850109837482834301219/200000000000000000000000000 -674250443184044458171999/1000000000000000000000000000 337125265024243892704291/500000000000000000000000000 91726646157948684280879/100000000000000000000000000 -1774003736821546311568721/200000000000000000000000000 2483569149509786518195343/1000000000000000000000000000 638644949950294766609307/200000000000000000000000000
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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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