#Density : 33917115503784008990221217/150000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 8, 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 :
269366368804886709459904913/500000000000000000000000000 -887217621016064354289199/3125000000000000000000000 -50153776462806784835763379/125000000000000000000000000 -22958432927502655261453387/62500000000000000000000000 93506631276086817201926119/250000000000000000000000000 -156060720447974446283116973/500000000000000000000000000
-887217621016064354289199/3125000000000000000000000 24501462337701350504676517/62500000000000000000000000 5223606824749292448818431/62500000000000000000000000 -2748821305856733397667639/31250000000000000000000000 -162962561588523316609571/15625000000000000000000000 3732292566348180963735071/62500000000000000000000000
-50153776462806784835763379/125000000000000000000000000 5223606824749292448818431/62500000000000000000000000 22892119026579969727273087/62500000000000000000000000 2638093143551351073575369/6250000000000000000000000 -23564805296347262804621729/62500000000000000000000000 1438619783740883803686337/5000000000000000000000000
-22958432927502655261453387/62500000000000000000000000 -2748821305856733397667639/31250000000000000000000000 2638093143551351073575369/6250000000000000000000000 9023054073534626980622959/15625000000000000000000000 -14745452633629843031838353/31250000000000000000000000 20906710309371596923025053/62500000000000000000000000
93506631276086817201926119/250000000000000000000000000 -162962561588523316609571/15625000000000000000000000 -23564805296347262804621729/62500000000000000000000000 -14745452633629843031838353/31250000000000000000000000 50430301705758354411928193/125000000000000000000000000 -74345580250261341421378267/250000000000000000000000000
-156060720447974446283116973/500000000000000000000000000 3732292566348180963735071/62500000000000000000000000 1438619783740883803686337/5000000000000000000000000 20906710309371596923025053/62500000000000000000000000 -74345580250261341421378267/250000000000000000000000000 113057050462117786724315777/500000000000000000000000000


--- 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 :
41894399231570435335151357/250000000000000000000000000 -5681126402761911333756489/50000000000000000000000000 -68224472483096737091826539/500000000000000000000000000 -513817792479831976717197/3906250000000000000000000 42224524497684275250903561/500000000000000000000000000 -11677047949561840490903159/100000000000000000000000000
-5681126402761911333756489/50000000000000000000000000 770394081217348458103653/10000000000000000000000000 9251638859786921213797503/100000000000000000000000000 69676708118690244566169/781250000000000000000000 -5725893326263342685020197/100000000000000000000000000 1583476231414283596017243/20000000000000000000000000
-68224472483096737091826539/500000000000000000000000000 9251638859786921213797503/100000000000000000000000000 111102646916327300604223853/1000000000000000000000000000 836745447776928334992219/7812500000000000000000000 -68762077092473406407558847/1000000000000000000000000000 19015917428846722084326593/200000000000000000000000000
-513817792479831976717197/3906250000000000000000000 69676708118690244566169/781250000000000000000000 836745447776928334992219/7812500000000000000000000 6301766553795051543837/61035156250000000000000 -517866644798702473249881/7812500000000000000000000 143214250834838968243239/1562500000000000000000000
42224524497684275250903561/500000000000000000000000000 -5725893326263342685020197/100000000000000000000000000 -68762077092473406407558847/1000000000000000000000000000 -517866644798702473249881/7812500000000000000000000 42557251130408585793588453/1000000000000000000000000000 -11769062362764554142622107/200000000000000000000000000
-11677047949561840490903159/100000000000000000000000000 1583476231414283596017243/20000000000000000000000000 19015917428846722084326593/200000000000000000000000000 143214250834838968243239/1562500000000000000000000 -11769062362764554142622107/200000000000000000000000000 3254693976220436587458533/40000000000000000000000000


--- 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 :
579433814673604690323133043/1000000000000000000000000000 -1035732751607186567349400969/1000000000000000000000000000 -135578332975003928371729563/1000000000000000000000000000 89546161415395437589152221/1000000000000000000000000000 -464757477571120414949658023/1000000000000000000000000000 -10993711153409458181801363/1000000000000000000000000000 494950792410575441896371053/500000000000000000000000000 1967136885723678231275311/15625000000000000000000000 485673577524963487713179707/1000000000000000000000000000 65480028680474212346883519/1000000000000000000000000000 -75020747876313612241942269/125000000000000000000000000 -127123098616921437173198919/1000000000000000000000000000
-1035732751607186567349400969/1000000000000000000000000000 3569738603283239461065779143/1000000000000000000000000000 -84644874167735283088208867/1000000000000000000000000000 597014971287777241956966101/1000000000000000000000000000 229353412177521942431915177/1000000000000000000000000000 7719464724742610026980489/200000000000000000000000000 -44242987417625160415230611/20000000000000000000000000 22787153611443915827822691/62500000000000000000000000 -2016403589692609565924714401/1000000000000000000000000000 103161944891670382677717111/200000000000000000000000000 -33889536105755911689389443/125000000000000000000000000 249916118443040595480284909/1000000000000000000000000000
-135578332975003928371729563/1000000000000000000000000000 -84644874167735283088208867/1000000000000000000000000000 93946141057202239472538141/1000000000000000000000000000 -165016848176481820557188187/1000000000000000000000000000 44637138793214987129589481/200000000000000000000000000 -1032913827957421086261111/1000000000000000000000000000 -4605565664060771449711967/31250000000000000000000000 -35414835591945824163129883/250000000000000000000000000 20972770760177529583209271/200000000000000000000000000 -5429891835123505312223003/40000000000000000000000000 4952021207305498049997767/12500000000000000000000000 25428112730876378381291531/1000000000000000000000000000
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-127123098616921437173198919/1000000000000000000000000000 249916118443040595480284909/1000000000000000000000000000 25428112730876378381291531/1000000000000000000000000000 -19304539845964910990654449/1000000000000000000000000000 18804969468422109418959479/200000000000000000000000000 532408915639316386754059/200000000000000000000000000 -111510364721748100437893291/500000000000000000000000000 -13755053873319368132265953/250000000000000000000000000 -24342284133999910018705431/200000000000000000000000000 -31357769813921404120122347/1000000000000000000000000000 7120643636220783428614409/62500000000000000000000000 151492388532895701312441547/1000000000000000000000000000


--- 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 :
2474685835585483655436410963/1000000000000000000000000000 1327848185537643231386000767/1000000000000000000000000000 414039685414162894296986997/200000000000000000000000000 405493701331187316044204521/1000000000000000000000000000
1327848185537643231386000767/1000000000000000000000000000 2401385314168784983333477879/1000000000000000000000000000 8886491150770323464646701/8000000000000000000000000 314822046169428827156322313/1000000000000000000000000000
414039685414162894296986997/200000000000000000000000000 8886491150770323464646701/8000000000000000000000000 1731824486897957864217587951/1000000000000000000000000000 339215752872426218544430207/1000000000000000000000000000
405493701331187316044204521/1000000000000000000000000000 314822046169428827156322313/1000000000000000000000000000 339215752872426218544430207/1000000000000000000000000000 2333104431116137611061961167/1000000000000000000000000000


--- 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 :
7333078964436524189340254701/1000000000000000000000000000 11962568906590200135123013/10000000000000000000000000 -609514701080442066265622779/250000000000000000000000000 -4704441137172287422143934669/1000000000000000000000000000 1024382534385391070391497123/1000000000000000000000000000 1265348014089740114443127357/1000000000000000000000000000 -614692071419608413592561303/500000000000000000000000000 203293539156179809480999733/200000000000000000000000000 -1137167622015619563906046483/1000000000000000000000000000 38579934949540992167879281/1000000000000000000000000000
11962568906590200135123013/10000000000000000000000000 387311276221799942789264471/500000000000000000000000000 -98069916975445006076254371/250000000000000000000000000 -386815056651665402092335143/500000000000000000000000000 -35046169770359902909576111/250000000000000000000000000 101303516061080871109777869/500000000000000000000000000 -94399463927690774191380369/500000000000000000000000000 136540483106662713413615029/1000000000000000000000000000 -114425193426658859378286959/500000000000000000000000000 2222058606070767122470027/125000000000000000000000000
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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 :
468082326264407914726228119/250000000000000000000000000 11089875859840637463185627/100000000000000000000000000 351835154213870247533766729/500000000000000000000000000 38314205895659085320428719/250000000000000000000000000 23694287933128552895166473/250000000000000000000000000 11677587659700432173398627/100000000000000000000000000
11089875859840637463185627/100000000000000000000000000 202734817089638935322763743/200000000000000000000000000 98447031935291300885781801/100000000000000000000000000 28016990207687431770430429/20000000000000000000000000 86631396916445351686959079/100000000000000000000000000 -24272838369449663427931/48828125000000000000000
351835154213870247533766729/500000000000000000000000000 98447031935291300885781801/100000000000000000000000000 1654969493416904218418178177/500000000000000000000000000 170061411198424693417914771/125000000000000000000000000 841355620854044962151213061/1000000000000000000000000000 -5561437013705481505706307/50000000000000000000000000
38314205895659085320428719/250000000000000000000000000 28016990207687431770430429/20000000000000000000000000 170061411198424693417914771/125000000000000000000000000 120994224062933781270745611/62500000000000000000000000 598602409277625692511174721/500000000000000000000000000 -34348965346474860048387097/50000000000000000000000000
23694287933128552895166473/250000000000000000000000000 86631396916445351686959079/100000000000000000000000000 841355620854044962151213061/1000000000000000000000000000 598602409277625692511174721/500000000000000000000000000 740375929446432646870299289/1000000000000000000000000000 -84968408987740505300325607/200000000000000000000000000
11677587659700432173398627/100000000000000000000000000 -24272838369449663427931/48828125000000000000000 -5561437013705481505706307/50000000000000000000000000 -34348965346474860048387097/50000000000000000000000000 -84968408987740505300325607/200000000000000000000000000 128134465307175916499365941/100000000000000000000000000


--- 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 :
144349410616548917735601/500000000000000000000000 79818355513890800645787/781250000000000000000000 2744518053649495563961569/12500000000000000000000000 -663311796799972233378609/12500000000000000000000000 -10245254747863336730198559/25000000000000000000000000 -6240891448707288454406277/25000000000000000000000000 34978615420852390548411/312500000000000000000000 -609550522302798200421819/5000000000000000000000000 -8924695981334850304523673/25000000000000000000000000
79818355513890800645787/781250000000000000000000 282468816729296457922989/7812500000000000000000000 1214070313764716451837903/15625000000000000000000000 -58684777817824293450141/3125000000000000000000000 -1133027675419661961315963/7812500000000000000000000 -345091601170285913926419/3906250000000000000000000 247571327300468244319467/6250000000000000000000000 -337052434679388411616893/7812500000000000000000000 -3947945772131388704858967/31250000000000000000000000
2744518053649495563961569/12500000000000000000000000 1214070313764716451837903/15625000000000000000000000 1209629029795962384789967/2500000000000000000000000 -2522311938920765362831811/62500000000000000000000000 -38958644163195213680547347/125000000000000000000000000 -23731637256813060256764889/125000000000000000000000000 212815702855841042954889/2500000000000000000000000 -11589395528284291373019691/125000000000000000000000000 -33937082455321570910507583/125000000000000000000000000
-663311796799972233378609/12500000000000000000000000 -58684777817824293450141/3125000000000000000000000 -2522311938920765362831811/62500000000000000000000000 609607670574812755367287/62500000000000000000000000 9415761805264444955207203/125000000000000000000000000 5735606266481039408870297/125000000000000000000000000 -257172959920304458952667/12500000000000000000000000 2800995518181057116517851/125000000000000000000000000 1640424052162781729092527/25000000000000000000000000
-10245254747863336730198559/25000000000000000000000000 -1133027675419661961315963/7812500000000000000000000 -38958644163195213680547347/125000000000000000000000000 9415761805264444955207203/125000000000000000000000000 145432176550338499058293789/250000000000000000000000000 17717986508616255434283523/50000000000000000000000000 -124131031842636770639277/781250000000000000000000 43263081962105100583784501/250000000000000000000000000 126686743625020487380690107/250000000000000000000000000
-6240891448707288454406277/25000000000000000000000000 -345091601170285913926419/3906250000000000000000000 -23731637256813060256764889/125000000000000000000000000 5735606266481039408870297/125000000000000000000000000 17717986508616255434283523/50000000000000000000000000 53964510015231730296367669/250000000000000000000000000 -604914813119692397770947/6250000000000000000000000 26353683232555364979231703/250000000000000000000000000 77171162104959053088299217/250000000000000000000000000
34978615420852390548411/312500000000000000000000 247571327300468244319467/6250000000000000000000000 212815702855841042954889/2500000000000000000000000 -257172959920304458952667/12500000000000000000000000 -124131031842636770639277/781250000000000000000000 -604914813119692397770947/6250000000000000000000000 43397046662360783188857/1000000000000000000000000 -147705717731312415717279/3125000000000000000000000 -3460198496365451355635781/25000000000000000000000000
-609550522302798200421819/5000000000000000000000000 -337052434679388411616893/7812500000000000000000000 -11589395528284291373019691/125000000000000000000000000 2800995518181057116517851/125000000000000000000000000 43263081962105100583784501/250000000000000000000000000 26353683232555364979231703/250000000000000000000000000 -147705717731312415717279/3125000000000000000000000 2573975450627974911942761/50000000000000000000000000 37686701134286917733078547/250000000000000000000000000
-8924695981334850304523673/25000000000000000000000000 -3947945772131388704858967/31250000000000000000000000 -33937082455321570910507583/125000000000000000000000000 1640424052162781729092527/25000000000000000000000000 126686743625020487380690107/250000000000000000000000000 77171162104959053088299217/250000000000000000000000000 -3460198496365451355635781/25000000000000000000000000 37686701134286917733078547/250000000000000000000000000 110357497157834520441125127/250000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 220433506177408934688105509/250000000000000000000000000 89980901717153001695133633/500000000000000000000000000 -17996255073720308808781793/100000000000000000000000000 17996255073720308808781793/100000000000000000000000000 0/1 8993278292725538581302053/250000000000000000000000000
0/1 89980901717153001695133633/500000000000000000000000000 3503701175730016883014656169/1000000000000000000000000000 -173744497964795123330108891/500000000000000000000000000 173744497964795123330108891/500000000000000000000000000 0/1 36718882261780736584115513/100000000000000000000000000
0/1 -17996255073720308808781793/100000000000000000000000000 -173744497964795123330108891/500000000000000000000000000 1751871887361058673334891661/500000000000000000000000000 -1751871887361058673334891661/500000000000000000000000000 0/1 -91797993979537443393160603/250000000000000000000000000
0/1 17996255073720308808781793/100000000000000000000000000 173744497964795123330108891/500000000000000000000000000 -1751871887361058673334891661/500000000000000000000000000 1751871887361058673334891661/500000000000000000000000000 0/1 91797993979537443393160603/250000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 8993278292725538581302053/250000000000000000000000000 36718882261780736584115513/100000000000000000000000000 -91797993979537443393160603/250000000000000000000000000 91797993979537443393160603/250000000000000000000000000 0/1 15510791394985524464137449/50000000000000000000000000


--- 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 :
92194249812357174514024261/1000000000000000000000000000 -8312093622088916981361817/125000000000000000000000000 67971886868534781608057703/1000000000000000000000000000 4637113571490642357642893/200000000000000000000000000 -299946888393445948188552381/500000000000000000000000000 33128804384342225705730923/500000000000000000000000000 151544554581571543671608499/1000000000000000000000000000 -4951613347664826461075151/62500000000000000000000000 19014184545306118471348603/250000000000000000000000000 86726123022078761593422653/1000000000000000000000000000 -357178821390960221843440203/1000000000000000000000000000 5476923051540309128141791/250000000000000000000000000
-8312093622088916981361817/125000000000000000000000000 2398098381120015193937783/50000000000000000000000000 -24512968658863752595354713/500000000000000000000000000 -8361502419280622098459153/500000000000000000000000000 27042756170313847550756391/62500000000000000000000000 -1493421358658386892789767/31250000000000000000000000 -13663027012677640796420187/125000000000000000000000000 28571516378043641435466087/500000000000000000000000000 -13714320132488422292714543/250000000000000000000000000 -6255276488566407195463441/100000000000000000000000000 128810801509709882173002579/500000000000000000000000000 -1975164275777993697194569/125000000000000000000000000
67971886868534781608057703/1000000000000000000000000000 -24512968658863752595354713/500000000000000000000000000 30264648419209015837683/48828125000000000000000 8546990904046756242954951/500000000000000000000000000 -221141296308955861912048407/500000000000000000000000000 24424813553888319335574477/500000000000000000000000000 111728978244201127486803921/1000000000000000000000000000 -58410671424227043260979609/1000000000000000000000000000 8846543723415376383939723/500000000000000000000000000 31970205585394047090894279/500000000000000000000000000 -131668289650367396358610977/500000000000000000000000000 504745146835506301365789/31250000000000000000000000
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19014184545306118471348603/250000000000000000000000000 -13714320132488422292714543/250000000000000000000000000 8846543723415376383939723/500000000000000000000000000 9563604380763630015738311/500000000000000000000000000 -12372236884808860879381779/25000000000000000000000000 6832499875291661788845131/125000000000000000000000000 31254618731421385895593317/250000000000000000000000000 -32679136574316838646769387/500000000000000000000000000 27454034504847684151790383/250000000000000000000000000 35772871105694289142419859/500000000000000000000000000 -147329449287045163695781701/500000000000000000000000000 2259126263935717239279179/125000000000000000000000000
86726123022078761593422653/1000000000000000000000000000 -6255276488566407195463441/100000000000000000000000000 31970205585394047090894279/500000000000000000000000000 2726301280224647078897677/125000000000000000000000000 -282156759188825908811918301/500000000000000000000000000 31163904153008773857494503/500000000000000000000000000 142556305959614307470554443/1000000000000000000000000000 -14905371360018616934852553/200000000000000000000000000 35772871105694289142419859/500000000000000000000000000 2549447372581897753721399/31250000000000000000000000 -5249909577447959196266817/15625000000000000000000000 2576040823137533126618419/125000000000000000000000000
-357178821390960221843440203/1000000000000000000000000000 128810801509709882173002579/500000000000000000000000000 -131668289650367396358610977/500000000000000000000000000 -11228186434431076209662703/125000000000000000000000000 1162053775526217348623528619/500000000000000000000000000 -205356101113456097384769/800000000000000000000000 -587113681209310070683808877/1000000000000000000000000000 306936525538600852468612347/1000000000000000000000000000 -147329449287045163695781701/500000000000000000000000000 -5249909577447959196266817/15625000000000000000000000 43243176333492924147593973/31250000000000000000000000 -2121868689619670698779921/25000000000000000000000000
5476923051540309128141791/250000000000000000000000000 -1975164275777993697194569/125000000000000000000000000 504745146835506301365789/31250000000000000000000000 688684876334430338988371/125000000000000000000000000 -17818747162902378079673823/125000000000000000000000000 1968061053393960407233781/125000000000000000000000000 1800541500174926804163909/50000000000000000000000000 -4706515704193987975033209/250000000000000000000000000 2259126263935717239279179/125000000000000000000000000 2576040823137533126618419/125000000000000000000000000 -2121868689619670698779921/25000000000000000000000000 40670494870268245052753/7812500000000000000000000


--- 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 :
3683803996995320311366869119/1000000000000000000000000000 0/1 484408557898449884961724883/500000000000000000000000000 38052125660056239429288031/1000000000000000000000000000
0/1 0/1 0/1 0/1
484408557898449884961724883/500000000000000000000000000 0/1 116929754553924902586509607/31250000000000000000000000 580904511915789103943448717/500000000000000000000000000
38052125660056239429288031/1000000000000000000000000000 0/1 580904511915789103943448717/500000000000000000000000000 1033690822225424571658761729/1000000000000000000000000000


--- 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 :
18112710174221621720443359/500000000000000000000000000 -4342915058606226285323253/250000000000000000000000000 0/1 -9135693610735486161191513/500000000000000000000000000 5000284984881052384970269/250000000000000000000000000 0/1
-4342915058606226285323253/250000000000000000000000000 774763179897648638142719/20000000000000000000000000 0/1 6241590695568007053087763/500000000000000000000000000 -1708120565931523470138277/125000000000000000000000000 0/1
0/1 0/1 0/1 0/1 0/1 0/1
-9135693610735486161191513/500000000000000000000000000 6241590695568007053087763/500000000000000000000000000 0/1 4395674723750485401325901/250000000000000000000000000 -4811813369716424803287891/250000000000000000000000000 0/1
5000284984881052384970269/250000000000000000000000000 -1708120565931523470138277/125000000000000000000000000 0/1 -4811813369716424803287891/250000000000000000000000000 658418484080489006480747/31250000000000000000000000 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 :
1272811580253503038278618083/1000000000000000000000000000 -1202187201560959115295486523/1000000000000000000000000000 -551753074855023075483323/15625000000000000000000000 0/1 0/1 0/1 2675375334395329262369459/1000000000000000000000000000 -104585475778168660976821349/500000000000000000000000000 101656823476029752888192813/500000000000000000000000000 2928597558060005043733657/1000000000000000000000000000
-1202187201560959115295486523/1000000000000000000000000000 318202894708310550190582407/250000000000000000000000000 -35312429388919521717780319/1000000000000000000000000000 0/1 0/1 0/1 1337686984531503202662249/500000000000000000000000000 203313646228746853905246713/1000000000000000000000000000 -209170951325924461533462921/1000000000000000000000000000 732184159819072566832511/250000000000000000000000000
-551753074855023075483323/15625000000000000000000000 -35312429388919521717780319/1000000000000000000000000000 1272808920784399135693448401/1000000000000000000000000000 0/1 0/1 0/1 -107014604894421088207967/40000000000000000000000000 585713829262660689322027/200000000000000000000000000 2928713906298341471454231/1000000000000000000000000000 -209170582741756968364759921/1000000000000000000000000000
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 0/1 0/1
2675375334395329262369459/1000000000000000000000000000 1337686984531503202662249/500000000000000000000000000 -107014604894421088207967/40000000000000000000000000 0/1 0/1 0/1 4337551210574391774116303/500000000000000000000000000 -1899274953850701504900943/200000000000000000000000000 -9496374451955490617256267/1000000000000000000000000000 4748186858946733487591937/500000000000000000000000000
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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 :
58536503558019159877975401/1000000000000000000000000000 185587833673061075269020549/1000000000000000000000000000 -84076461326859885320965443/250000000000000000000000000 -26796710372132124485004921/500000000000000000000000000 -151922049811363396734027129/500000000000000000000000000 -89396484357097436206509/31250000000000000000000000
185587833673061075269020549/1000000000000000000000000000 588399407445327564413584301/1000000000000000000000000000 -533122662684598501065546199/500000000000000000000000000 -84957985620020101116432689/500000000000000000000000000 -240831638361489349292244263/250000000000000000000000000 -8857133387631618614123/976562500000000000000000
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-151922049811363396734027129/500000000000000000000000000 -240831638361489349292244263/250000000000000000000000000 13965240908387029023160739/8000000000000000000000000 6954653798036814913897713/25000000000000000000000000 1577156667446668035461772691/1000000000000000000000000000 928056599896610459340517/62500000000000000000000000
-89396484357097436206509/31250000000000000000000000 -8857133387631618614123/976562500000000000000000 1027207241836559695534297/62500000000000000000000000 10230930922822193633967/3906250000000000000000000 928056599896610459340517/62500000000000000000000000 56521129652893070416051/3906250000000000000000000


--- 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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