#Density : 10374906810266666042901661957/48000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 8, 10, 11, 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 :
87582253170357561177811/20000000000000000000000000 506557859902762458647919/20000000000000000000000000 -28038689607901942604061/1250000000000000000000000 -330227091846565364261729/20000000000000000000000000 206226698650943551543651/10000000000000000000000000 -153760937852905482308317/5000000000000000000000000
506557859902762458647919/20000000000000000000000000 2929827175491232293400251/20000000000000000000000000 -162170052586221311759169/1250000000000000000000000 -1909966036182375588294741/20000000000000000000000000 1192773094341795020073279/10000000000000000000000000 -889321852269623144916993/5000000000000000000000000
-28038689607901942604061/1250000000000000000000000 -162170052586221311759169/1250000000000000000000000 8976340371137528717811/78125000000000000000000 105719304918953040010479/1250000000000000000000000 -66021667438594509269901/625000000000000000000000 49225214632142768342067/312500000000000000000000
-330227091846565364261729/20000000000000000000000000 -1909966036182375588294741/20000000000000000000000000 105719304918953040010479/1250000000000000000000000 1245114486576695504274331/20000000000000000000000000 -777573543628222959353489/10000000000000000000000000 579752467066589749718063/5000000000000000000000000
206226698650943551543651/10000000000000000000000000 1192773094341795020073279/10000000000000000000000000 -66021667438594509269901/625000000000000000000000 -777573543628222959353489/10000000000000000000000000 485594394948282570639091/5000000000000000000000000 -362055204645155184830797/2500000000000000000000000
-153760937852905482308317/5000000000000000000000000 -889321852269623144916993/5000000000000000000000000 49225214632142768342067/312500000000000000000000 579752467066589749718063/5000000000000000000000000 -362055204645155184830797/2500000000000000000000000 269945395940177774237299/1250000000000000000000000


--- 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 :
49748863713489368776033/488281250000000000000000 -40282899455776797883273/976562500000000000000000 214634205342326415102331/1953125000000000000000000 -124558789730081319066013/976562500000000000000000 18963436367819067091513/390625000000000000000000 -7841788298565646575787/976562500000000000000000
-40282899455776797883273/976562500000000000000000 32618071397763914057713/1953125000000000000000000 -173794685309186381081011/3906250000000000000000000 100858367980565426447653/1953125000000000000000000 -15355168812302844613153/781250000000000000000000 6349692153852221698147/1953125000000000000000000
214634205342326415102331/1953125000000000000000000 -173794685309186381081011/3906250000000000000000000 926007925894409496377017/7812500000000000000000000 -537390703154268648938191/3906250000000000000000000 81814976092870757466691/1562500000000000000000000 -33832250111654626014409/3906250000000000000000000
-124558789730081319066013/976562500000000000000000 100858367980565426447653/1953125000000000000000000 -537390703154268648938191/3906250000000000000000000 311864250576154558434793/1953125000000000000000000 -47479731330194795990293/781250000000000000000000 19633888834409734515007/1953125000000000000000000
18963436367819067091513/390625000000000000000000 -15355168812302844613153/781250000000000000000000 81814976092870757466691/1562500000000000000000000 -47479731330194795990293/781250000000000000000000 7228545378390507795793/312500000000000000000000 -2989158792976329259507/781250000000000000000000
-7841788298565646575787/976562500000000000000000 6349692153852221698147/1953125000000000000000000 -33832250111654626014409/3906250000000000000000000 19633888834409734515007/1953125000000000000000000 -2989158792976329259507/781250000000000000000000 1236081372102718815193/1953125000000000000000000


--- 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 :
1765686546838358234608315273/1000000000000000000000000000 1580015873485745100055199863/1000000000000000000000000000 75963334082571928632503111/62500000000000000000000000 1019602683219080173735347/31250000000000000000000000 178421348805018742169590569/500000000000000000000000000 103478235359253480043216303/100000000000000000000000000 -260291602127054285466505243/200000000000000000000000000 -2908310370742994580101864987/1000000000000000000000000000 -131104379152662353249981739/250000000000000000000000000 -734292227799769019139253173/1000000000000000000000000000 -769611735869943616459266877/1000000000000000000000000000 -252875147636632629657042299/200000000000000000000000000
1580015873485745100055199863/1000000000000000000000000000 1943709070742079395806012899/1000000000000000000000000000 75038269129418833427849821/100000000000000000000000000 -27549884413056148565078499/62500000000000000000000000 49471715092311533492227293/250000000000000000000000000 -487936856592686584494145059/500000000000000000000000000 -890102781546225711748253137/1000000000000000000000000000 -694293585971709789117269869/1000000000000000000000000000 22043431329997917971612917/500000000000000000000000000 -482807703547322661398741119/1000000000000000000000000000 -892141220525496672714998929/1000000000000000000000000000 -1305278877072677394058360517/1000000000000000000000000000
75963334082571928632503111/62500000000000000000000000 75038269129418833427849821/100000000000000000000000000 133070728803250021271638081/125000000000000000000000000 90451458741971121473591133/500000000000000000000000000 190054678307018070069662119/500000000000000000000000000 791798352376951537063917477/500000000000000000000000000 -26160587396720902621652729/25000000000000000000000000 -1508502796219022621786360977/500000000000000000000000000 -537659331867757995143411193/1000000000000000000000000000 -39650670720035918460523929/62500000000000000000000000 -14887577001709878699069711/50000000000000000000000000 -868006134373169251975541149/1000000000000000000000000000
1019602683219080173735347/31250000000000000000000000 -27549884413056148565078499/62500000000000000000000000 90451458741971121473591133/500000000000000000000000000 952715867237953297797546307/500000000000000000000000000 -12262736753537539534664167/25000000000000000000000000 2646484611758039424902967369/500000000000000000000000000 -32682472101342304548645719/62500000000000000000000000 -1927778239520849720310302313/500000000000000000000000000 -2052063967506605342476134803/1000000000000000000000000000 2832783213479589663964433/125000000000000000000000000 -458979506523064064782603077/500000000000000000000000000 1276489692069633290048267779/1000000000000000000000000000
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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 :
171581980834493252764025881/250000000000000000000000000 4060948647095062602888117/3906250000000000000000000 22247468517126982826422159/50000000000000000000000000 1750443854140031668379473/31250000000000000000000000
4060948647095062602888117/3906250000000000000000000 4304267886993497796721280931/500000000000000000000000000 -152879791362100676535805821/125000000000000000000000000 220197558827060834162360853/125000000000000000000000000
22247468517126982826422159/50000000000000000000000000 -152879791362100676535805821/125000000000000000000000000 200021857440798419772828839/250000000000000000000000000 -103975056119164949617304039/250000000000000000000000000
1750443854140031668379473/31250000000000000000000000 220197558827060834162360853/125000000000000000000000000 -103975056119164949617304039/250000000000000000000000000 1604030492065035132623939111/500000000000000000000000000


--- 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 :
2547821659035111620312289369/1000000000000000000000000000 341697716986289394548572293/250000000000000000000000000 -696548196389327063634577179/1000000000000000000000000000 -1664211784229268271337061231/1000000000000000000000000000 1099049768634930845270811609/1000000000000000000000000000 -113046812814553259792683737/1000000000000000000000000000 -1880023179296121618626964783/1000000000000000000000000000 -42472920366743542743075333/200000000000000000000000000 289056209469873337153579767/1000000000000000000000000000 -1152657358587915790230545133/1000000000000000000000000000
341697716986289394548572293/250000000000000000000000000 455379036795032380651416621/200000000000000000000000000 -28370949443809179718467649/1000000000000000000000000000 -2836188179280658289273819/1000000000000000000000000 804369296352333613250290747/500000000000000000000000000 -202276500994266781034066177/100000000000000000000000000 -242247878301626970989785937/250000000000000000000000000 -45120783122674217411602439/62500000000000000000000000 81859837494098334438423727/200000000000000000000000000 20759195690853816722601833/100000000000000000000000000
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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 :
5597622855744098323986055759/1000000000000000000000000000 -3258448112227100064277066603/1000000000000000000000000000 181797397592655044659531381/1000000000000000000000000000 -771831560921920441339477687/200000000000000000000000000 18266278987063543254590067/20000000000000000000000000 -1694518510574074318235992033/1000000000000000000000000000
-3258448112227100064277066603/1000000000000000000000000000 1896784469711287462327894547/1000000000000000000000000000 -105826598742009270046019361/1000000000000000000000000000 2246465292014577344000424211/1000000000000000000000000000 -265825886348048381562620163/500000000000000000000000000 986400974854150962101542813/1000000000000000000000000000
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-1694518510574074318235992033/1000000000000000000000000000 986400974854150962101542813/1000000000000000000000000000 32671124144927920996274257/200000000000000000000000000 1168248469891603455573345557/1000000000000000000000000000 -138239698779286513042443741/500000000000000000000000000 47964686098706483697434647/40000000000000000000000000


--- 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 :
64792279676711841902673043/1000000000000000000000000000 187788035401523133549306021/1000000000000000000000000000 112882581387764200362581671/1000000000000000000000000000 -167445898482859138039323939/1000000000000000000000000000 -29353845204107693211079589/125000000000000000000000000 -161774544209553041730141737/1000000000000000000000000000 1777182303685859692329271/100000000000000000000000000 -143165031357773936679501939/1000000000000000000000000000 -33109361115575887948779623/200000000000000000000000000
187788035401523133549306021/1000000000000000000000000000 558195326364045141691963023/1000000000000000000000000000 289125844208512382268770793/1000000000000000000000000000 -519701228826301740081675477/1000000000000000000000000000 -9894501677181976131892611/12500000000000000000000000 -507007711240890200332775787/1000000000000000000000000000 57496973185858569085352283/500000000000000000000000000 -383932283843622475761144921/1000000000000000000000000000 -690578569809405234741433329/1000000000000000000000000000
112882581387764200362581671/1000000000000000000000000000 289125844208512382268770793/1000000000000000000000000000 300578900861299189105447963/1000000000000000000000000000 -197789492278520025608850807/1000000000000000000000000000 -530385079223382293189879/5000000000000000000000000 -177682630679223868946741597/1000000000000000000000000000 -71223183848716201707429757/500000000000000000000000000 -334112144292391750193687631/1000000000000000000000000000 287298576838631959343711441/1000000000000000000000000000
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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 :
222584684245700732030871/62500000000000000000000000 306405843719949/31250000000000000000000000 -58890292859019115948779/1953125000000000000000000 58890292859019115948779/1953125000000000000000000 1884489374313507994904241/62500000000000000000000000 -881640890608193266239/3906250000000000000000000 199675191537117/6250000000000000000000000
306405843719949/31250000000000000000000000 157110823393524984563907/1953125000000000000000000 2077060562443886142417909/15625000000000000000000000 -2077060562443886142417909/15625000000000000000000000 4154121107827293923791179/31250000000000000000000000 952701808132947/15625000000000000000000000 631215541809767454330663/3125000000000000000000000
-58890292859019115948779/1953125000000000000000000 2077060562443886142417909/15625000000000000000000000 7421141081026060602921921/15625000000000000000000000 -7421141081026060602921921/15625000000000000000000000 -69534072619456866703089/1953125000000000000000000 29857273998026929088703/15625000000000000000000000 130388942950075231590897/390625000000000000000000
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199675191537117/6250000000000000000000000 631215541809767454330663/3125000000000000000000000 130388942950075231590897/390625000000000000000000 -130388942950075231590897/390625000000000000000000 2086223079408796542756411/6250000000000000000000000 1490628307149/9765625000000000000000 1585000048119770900722779/3125000000000000000000000


--- 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 :
120655884765094273352783643/62500000000000000000000000 -271721084821953133173707193/125000000000000000000000000 -213492400160747085382961623/250000000000000000000000000 37584205529109235222845743/500000000000000000000000000 -559435226063991439616477531/250000000000000000000000000 -128104948393576158520102721/250000000000000000000000000 819491183876633069484707703/500000000000000000000000000 79945856789637373687958731/100000000000000000000000000 -91446235976042206200222471/500000000000000000000000000 153190260122754725541191481/125000000000000000000000000 -706292920380425691010137333/500000000000000000000000000 123236404027221948638705957/500000000000000000000000000
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123236404027221948638705957/500000000000000000000000000 -21309695765749983785366983/50000000000000000000000000 -38442507558785627392257437/125000000000000000000000000 31357736753779749711097499/250000000000000000000000000 -700684009380546853437389497/500000000000000000000000000 380018694997658576806498407/500000000000000000000000000 140370505297675293487140743/125000000000000000000000000 329958674982854966189251053/500000000000000000000000000 -251678708124483999145526317/500000000000000000000000000 25161011495685051639631423/125000000000000000000000000 -400259264135255893577480913/250000000000000000000000000 393915978931505005310152797/500000000000000000000000000


--- 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 :
1385183171150712294801823/390625000000000000000000 511700836877427125661785649/500000000000000000000000000 93893727673789620647380423/125000000000000000000000000 178254405648443365479443261/200000000000000000000000000
511700836877427125661785649/500000000000000000000000000 202807862887018639133182077/100000000000000000000000000 512075626344520750752572829/500000000000000000000000000 824782579309142370653266443/500000000000000000000000000
93893727673789620647380423/125000000000000000000000000 512075626344520750752572829/500000000000000000000000000 1591515737689718980033538643/1000000000000000000000000000 144318987391598206532063511/125000000000000000000000000
178254405648443365479443261/200000000000000000000000000 824782579309142370653266443/500000000000000000000000000 144318987391598206532063511/125000000000000000000000000 917320227918026895985442923/500000000000000000000000000


--- 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 :
917297048283827165652097/1000000000000000000000000000 709411825870720452374231/1000000000000000000000000000 -29626239213296911451073/200000000000000000000000000 -1187787781421865782868853/250000000000000000000000000 159171561348791033962971/500000000000000000000000000 32406338682889355691/78125000000000000000000
709411825870720452374231/1000000000000000000000000000 106315246000138648093207569/1000000000000000000000000000 -114560522535333338550259/1000000000000000000000000000 -918601836457343710251459/250000000000000000000000000 123098790876052167407213/500000000000000000000000000 626553712654456899221/1953125000000000000000000
-29626239213296911451073/200000000000000000000000000 -114560522535333338550259/1000000000000000000000000000 23921205556193834482841/1000000000000000000000000000 38362365836532311566069/50000000000000000000000000 -5140815356700182550683/100000000000000000000000000 -130829749158493537399/1953125000000000000000000
-1187787781421865782868853/250000000000000000000000000 -918601836457343710251459/250000000000000000000000000 38362365836532311566069/50000000000000000000000000 1538040285134047897950297/62500000000000000000000000 -206107755468799794381079/125000000000000000000000000 -209811277601782410983/97656250000000000000000
159171561348791033962971/500000000000000000000000000 123098790876052167407213/500000000000000000000000000 -5140815356700182550683/100000000000000000000000000 -206107755468799794381079/125000000000000000000000000 27619827175517848270553/250000000000000000000000000 28116124081090473181/195312500000000000000000
32406338682889355691/78125000000000000000000 626553712654456899221/1953125000000000000000000 -130829749158493537399/1953125000000000000000000 -209811277601782410983/97656250000000000000000 28116124081090473181/195312500000000000000000 1431066943901784397/7629394531250000000000


--- 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 :
1332971810542942274281671/1562500000000000000000000 -256652376187531157059706039/500000000000000000000000000 -169898603844781863799148419/1000000000000000000000000000 -5554348200290726554937/100000000000000000000000000 5554348200290726554937/100000000000000000000000000 -55543988217217159856819/1000000000000000000000000000 0/1 2273040641376002331358199/1000000000000000000000000000 -2273040641376002331358199/1000000000000000000000000000 -242900720141332413/250000000000000000000000000
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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 :
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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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