#Density : 3830054194606092105975121313/16000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 8, 13, 14}
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 :
7231934804106683503098237/1000000000000000000000000000 11850939658293625929591183/1000000000000000000000000000 -380879736352871937659769/50000000000000000000000000 3535101051127854300691917/500000000000000000000000000 14337951991107473886614349/1000000000000000000000000000 -20803658749467500175474201/500000000000000000000000000
11850939658293625929591183/1000000000000000000000000000 9710041267570921059569771/500000000000000000000000000 -2496583774522691021810491/200000000000000000000000000 5792954501616055071046953/500000000000000000000000000 5873884661586737831280229/250000000000000000000000000 -68181727626103927327691733/1000000000000000000000000000
-380879736352871937659769/50000000000000000000000000 -2496583774522691021810491/200000000000000000000000000 802382087193900061508953/100000000000000000000000000 -744723725208343712721681/100000000000000000000000000 -3020511395408332582837357/200000000000000000000000000 438261255075076081731297/10000000000000000000000000
3535101051127854300691917/500000000000000000000000000 5792954501616055071046953/500000000000000000000000000 -744723725208343712721681/100000000000000000000000000 2215858582485128227554861/125000000000000000000000000 2747851915828031880706209/500000000000000000000000000 -20338412320502101815100557/500000000000000000000000000
14337951991107473886614349/1000000000000000000000000000 5873884661586737831280229/250000000000000000000000000 -3020511395408332582837357/200000000000000000000000000 2747851915828031880706209/500000000000000000000000000 25735125499110279010846349/500000000000000000000000000 -82490196086446249058592279/1000000000000000000000000000
-20803658749467500175474201/500000000000000000000000000 -68181727626103927327691733/1000000000000000000000000000 438261255075076081731297/10000000000000000000000000 -20338412320502101815100557/500000000000000000000000000 -82490196086446249058592279/1000000000000000000000000000 119689192197510646375696011/500000000000000000000000000


--- 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 :
239378383334264788041132947/1000000000000000000000000000 18080615388018829146086267/50000000000000000000000000 -2571275746694786638148957/5000000000000000000000000 -217835000105601039095787139/250000000000000000000000000 25090560663551303871313971/125000000000000000000000000 257255766632879443368948433/1000000000000000000000000000
18080615388018829146086267/50000000000000000000000000 117978094012907005274315527/200000000000000000000000000 -783024171527606201366822873/1000000000000000000000000000 -1187369685819107354729246027/1000000000000000000000000000 188355555712613241839337651/1000000000000000000000000000 319969408275429963723305819/1000000000000000000000000000
-2571275746694786638148957/5000000000000000000000000 -783024171527606201366822873/1000000000000000000000000000 1105645149624417304331839001/1000000000000000000000000000 593168306044216901531257/320000000000000000000000 -414958467323273370860466627/1000000000000000000000000000 -108589037533883973807182509/200000000000000000000000000
-217835000105601039095787139/250000000000000000000000000 -1187369685819107354729246027/1000000000000000000000000000 593168306044216901531257/320000000000000000000000 3552545579787892381987666667/1000000000000000000000000000 -1070020280558215672683108879/1000000000000000000000000000 -1139244752753385993606061787/1000000000000000000000000000
25090560663551303871313971/125000000000000000000000000 188355555712613241839337651/1000000000000000000000000000 -414958467323273370860466627/1000000000000000000000000000 -1070020280558215672683108879/1000000000000000000000000000 470732949141415862144862321/1000000000000000000000000000 396456710014757946688519947/1000000000000000000000000000
257255766632879443368948433/1000000000000000000000000000 319969408275429963723305819/1000000000000000000000000000 -108589037533883973807182509/200000000000000000000000000 -1139244752753385993606061787/1000000000000000000000000000 396456710014757946688519947/1000000000000000000000000000 204688427425458134458124479/500000000000000000000000000


--- 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 14168029/1000000000


--- 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 1703577/500000000 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 :
633319/62500000


--- 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 :
448365957860480805869869787/1000000000000000000000000000 -17722220550717513461778147/100000000000000000000000000 1903635853499100265297101/1000000000000000000000000000 123618482024794748779312583/500000000000000000000000000 -71489999370594202570484947/1000000000000000000000000000 -63688611095884347817940521/1000000000000000000000000000 -25868511335150272402109071/125000000000000000000000000 103296394020910058564841043/250000000000000000000000000 -28050558246271969748136411/200000000000000000000000000 -38311510252787216242147859/500000000000000000000000000 -104809800827494820187670851/500000000000000000000000000 -3269506340119054364420793/50000000000000000000000000
-17722220550717513461778147/100000000000000000000000000 4368367863166029077788450719/1000000000000000000000000000 581389998370779933188380167/500000000000000000000000000 -5562551898463499379998643217/1000000000000000000000000000 293076292309293152648450957/1000000000000000000000000000 1342025700165367848616456249/1000000000000000000000000000 -78813784078341358119429611/1000000000000000000000000000 -1598315342447428552373608907/250000000000000000000000000 568031609149963905348722907/250000000000000000000000000 -33571453483080518043071239/1000000000000000000000000000 -10191969618077017191094079/62500000000000000000000000 1852500737970417772233906009/1000000000000000000000000000
1903635853499100265297101/1000000000000000000000000000 581389998370779933188380167/500000000000000000000000000 339011764404716746874333199/1000000000000000000000000000 -733842782006940738496946977/500000000000000000000000000 42185081540788538379995311/1000000000000000000000000000 73970653805931295390323513/200000000000000000000000000 -6501491826366365272841387/100000000000000000000000000 -804654761478706354797176783/500000000000000000000000000 575424385271776999050933937/1000000000000000000000000000 -211444329924055785163037/6250000000000000000000000 -19497181890865835355481829/250000000000000000000000000 251661425233137910865018823/500000000000000000000000000
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-3269506340119054364420793/50000000000000000000000000 1852500737970417772233906009/1000000000000000000000000000 251661425233137910865018823/500000000000000000000000000 -2354428595334282550633945741/1000000000000000000000000000 55936442958362354298295069/500000000000000000000000000 260727078237997730939996429/500000000000000000000000000 -6938910865058654810761719/12500000000000000000000000 -334895847412404882274371521/125000000000000000000000000 211932587841212893198273037/250000000000000000000000000 -1052122146807055325660103/10000000000000000000000000 -160077698902366405309269551/1000000000000000000000000000 214964758271064161944819561/100000000000000000000000000


--- 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 :
189978134121147818709749583/125000000000000000000000000 73612706818562982011084691/62500000000000000000000000 207421076399532304721470791/125000000000000000000000000 252260216458508878989929601/500000000000000000000000000
73612706818562982011084691/62500000000000000000000000 912750197106394311830917981/1000000000000000000000000000 321485984809610021762690289/250000000000000000000000000 195491522887609351653171933/500000000000000000000000000
207421076399532304721470791/125000000000000000000000000 321485984809610021762690289/250000000000000000000000000 260280893054882595513964853/125000000000000000000000000 56652910268140157629767999/100000000000000000000000000
252260216458508878989929601/500000000000000000000000000 195491522887609351653171933/500000000000000000000000000 56652910268140157629767999/100000000000000000000000000 4050193778778019542959576563/1000000000000000000000000000


--- 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 :
580800774544922970923663857/250000000000000000000000000 69517584835974948975951051/200000000000000000000000000 -265965840079150539128803157/100000000000000000000000000 955593906211354696435012843/500000000000000000000000000 -253523806049508288997256987/1000000000000000000000000000 189631487310675790941879257/1000000000000000000000000000 -1223143719944230815027754723/500000000000000000000000000 2534947723306276192372294413/1000000000000000000000000000 27064516472475915489651447/250000000000000000000000000 -681307422588631775111758729/250000000000000000000000000
69517584835974948975951051/200000000000000000000000000 106662769242287559373417059/1000000000000000000000000000 -816157612114627825000145341/1000000000000000000000000000 580534041273354594403684471/1000000000000000000000000000 -12184356366497945514549403/500000000000000000000000000 59560190023067463677146981/1000000000000000000000000000 -178225982362329834577696189/250000000000000000000000000 15557763957953993443085689/20000000000000000000000000 13833483692736812872663653/250000000000000000000000000 -714385214305097043447506163/1000000000000000000000000000
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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 :
510889682196275167692007097/40000000000000000000000000 24773799554687027369443787/12500000000000000000000000 347450887010015599897783857/62500000000000000000000000 161117056756483838882182539/500000000000000000000000000 -155299092435778847192169653/500000000000000000000000000 -20075266044451030868262519/31250000000000000000000000
24773799554687027369443787/12500000000000000000000000 112776082097485675175403241/250000000000000000000000000 234171992182353795333193161/250000000000000000000000000 14394896237837979741729317/500000000000000000000000000 -14661416572142587892929759/200000000000000000000000000 -8228841475304717771445297/100000000000000000000000000
347450887010015599897783857/62500000000000000000000000 234171992182353795333193161/250000000000000000000000000 2782241343531266768763892737/500000000000000000000000000 29453108527312732963608577/250000000000000000000000000 -3971190878987662025356803/40000000000000000000000000 -93217423387435248491766679/500000000000000000000000000
161117056756483838882182539/500000000000000000000000000 14394896237837979741729317/500000000000000000000000000 29453108527312732963608577/250000000000000000000000000 128228601919698528636671467/500000000000000000000000000 -2889832232260056345292421/125000000000000000000000000 34454270699909839371667529/500000000000000000000000000
-155299092435778847192169653/500000000000000000000000000 -14661416572142587892929759/200000000000000000000000000 -3971190878987662025356803/40000000000000000000000000 -2889832232260056345292421/125000000000000000000000000 495262702531648365560012279/1000000000000000000000000000 -875261731759168335276559/1000000000000000000000000000
-20075266044451030868262519/31250000000000000000000000 -8228841475304717771445297/100000000000000000000000000 -93217423387435248491766679/500000000000000000000000000 34454270699909839371667529/500000000000000000000000000 -875261731759168335276559/1000000000000000000000000000 7817565373982408094514391/15625000000000000000000000


--- 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 :
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 661059681470105733099293/8000000000000000000000000 0/1 -5874741952344575441807701/200000000000000000000000000 0/1 -1349303568679396610657823/50000000000000000000000000 -4072421825370998648823587/250000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -5874741952344575441807701/200000000000000000000000000 0/1 49635596826166740739862787/250000000000000000000000000 0/1 -1817673233914947360704329/250000000000000000000000000 -9205917424746101749881223/250000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -1349303568679396610657823/50000000000000000000000000 0/1 -1817673233914947360704329/250000000000000000000000000 0/1 75673836967698661650949089/1000000000000000000000000000 -34629005126068561958562883/1000000000000000000000000000
0/1 0/1 0/1 -4072421825370998648823587/250000000000000000000000000 0/1 -9205917424746101749881223/250000000000000000000000000 0/1 -34629005126068561958562883/1000000000000000000000000000 36675590082373677918247483/100000000000000000000000000


--- 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 :
15245471863668972424316703/1000000000000000000000000000 0/1 -4045281962871534649923679/250000000000000000000000000 323622558053806267743521/20000000000000000000000000 8090565491451417180165567/500000000000000000000000000 750110508178906500425243/500000000000000000000000000 194132205892812841/500000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1
-4045281962871534649923679/250000000000000000000000000 0/1 462121230612826035461397427/200000000000000000000000000 -139116617584802923693876531/250000000000000000000000000 -116317659371665608903985039/1000000000000000000000000000 7213913337309299230288199/250000000000000000000000000 158235526445884771920836127/1000000000000000000000000000
323622558053806267743521/20000000000000000000000000 0/1 -139116617584802923693876531/250000000000000000000000000 115530307579528567761580439/50000000000000000000000000 -102363876393386767401260457/62500000000000000000000000 -7213913498858798642907431/250000000000000000000000000 -19779440844520101329902103/125000000000000000000000000
8090565491451417180165567/500000000000000000000000000 0/1 -116317659371665608903985039/1000000000000000000000000000 -102363876393386767401260457/62500000000000000000000000 462121230756230547248798669/200000000000000000000000000 -14427828616783158827091753/500000000000000000000000000 31647105481617510630201953/200000000000000000000000000
750110508178906500425243/500000000000000000000000000 0/1 7213913337309299230288199/250000000000000000000000000 -7213913498858798642907431/250000000000000000000000000 -14427828616783158827091753/500000000000000000000000000 132390183225446944158534611/500000000000000000000000000 -7100727623698253/31250000000000000000000000
194132205892812841/500000000000000000000000000 0/1 158235526445884771920836127/1000000000000000000000000000 -19779440844520101329902103/125000000000000000000000000 31647105481617510630201953/200000000000000000000000000 -7100727623698253/31250000000000000000000000 231623781775042285676568971/1000000000000000000000000000


--- 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 :
170457278954756030798286691/500000000000000000000000000 16846521610073564172938367/500000000000000000000000000 -3278088902427234566749209/250000000000000000000000000 9077538803655433913596601/100000000000000000000000000 -12085078271307640186097989/500000000000000000000000000 -292831554456918006366447/8000000000000000000000000 -54289838110498005255699337/500000000000000000000000000 24079404877402173253925251/1000000000000000000000000000 -44367246733815870874342779/1000000000000000000000000000 -13892231968583420660133151/500000000000000000000000000 -325812651430878084522189/10000000000000000000000000 -11051710008884896650038541/200000000000000000000000000
16846521610073564172938367/500000000000000000000000000 137564711410362888563760029/250000000000000000000000000 -971721482279639315552303/200000000000000000000000000 32885644285759263050459513/250000000000000000000000000 -13414637463448217992722011/500000000000000000000000000 -18562470332612728624624461/1000000000000000000000000000 -78898397109396755008336691/1000000000000000000000000000 1291223659498160946348257/125000000000000000000000000 -90865995664656088320939/625000000000000000000000 -23718642039236326525519171/500000000000000000000000000 -31373719604262693869338499/500000000000000000000000000 -378758745463532268650003/7812500000000000000000000
-3278088902427234566749209/250000000000000000000000000 -971721482279639315552303/200000000000000000000000000 854880229870696523986152879/1000000000000000000000000000 12160156134810409375325543/500000000000000000000000000 -13166710894428172476688957/250000000000000000000000000 -33732973077480898620873469/1000000000000000000000000000 -6506359707743952522092927/1000000000000000000000000000 32954413437217610732117101/500000000000000000000000000 -214538344964498018391460127/1000000000000000000000000000 -58377174641045982340532611/1000000000000000000000000000 -25392951481406485184424779/250000000000000000000000000 -2527975212941738575822693/62500000000000000000000000
9077538803655433913596601/100000000000000000000000000 32885644285759263050459513/250000000000000000000000000 12160156134810409375325543/500000000000000000000000000 279834397878578634504138859/500000000000000000000000000 -1411924448187906117112547/62500000000000000000000000 -25232316310294304077679461/500000000000000000000000000 -32545469347922849709676091/500000000000000000000000000 9540830446134444595182979/200000000000000000000000000 -53892213077784606037987543/200000000000000000000000000 -143771163278410449426904353/1000000000000000000000000000 -34921717999205643410057887/500000000000000000000000000 -97628593481444088757129709/1000000000000000000000000000
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-54289838110498005255699337/500000000000000000000000000 -78898397109396755008336691/1000000000000000000000000000 -6506359707743952522092927/1000000000000000000000000000 -32545469347922849709676091/500000000000000000000000000 31448916184182915585116329/500000000000000000000000000 -14239622423257951128596309/200000000000000000000000000 271850493392298803003191657/1000000000000000000000000000 -29014616041367004022837343/250000000000000000000000000 8825196556479188317515023/62500000000000000000000000 -22091833425426026673655631/500000000000000000000000000 31874168485287643327508901/500000000000000000000000000 -92530673637129237116000061/1000000000000000000000000000
24079404877402173253925251/1000000000000000000000000000 1291223659498160946348257/125000000000000000000000000 32954413437217610732117101/500000000000000000000000000 9540830446134444595182979/200000000000000000000000000 -45383714698900426406744057/1000000000000000000000000000 -439739954482573617648897/1000000000000000000000000000 -29014616041367004022837343/250000000000000000000000000 120688754035036176240460151/500000000000000000000000000 -114274562617680811792810483/1000000000000000000000000000 -371712502290461895796759/31250000000000000000000000 -86297208908676506563985281/1000000000000000000000000000 -41476671725682424592547753/1000000000000000000000000000
-44367246733815870874342779/1000000000000000000000000000 -90865995664656088320939/625000000000000000000000 -214538344964498018391460127/1000000000000000000000000000 -53892213077784606037987543/200000000000000000000000000 7387705563142820003550919/250000000000000000000000000 -4506279298247228176745783/125000000000000000000000000 8825196556479188317515023/62500000000000000000000000 -114274562617680811792810483/1000000000000000000000000000 689330881737111090790447239/1000000000000000000000000000 -5985484048752125961754123/100000000000000000000000000 22051153337820825938834419/500000000000000000000000000 -51000538788780681993406571/1000000000000000000000000000
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-325812651430878084522189/10000000000000000000000000 -31373719604262693869338499/500000000000000000000000000 -25392951481406485184424779/250000000000000000000000000 -34921717999205643410057887/500000000000000000000000000 -14052126488670170508323997/125000000000000000000000000 -2589992511788283156324939/200000000000000000000000000 31874168485287643327508901/500000000000000000000000000 -86297208908676506563985281/1000000000000000000000000000 22051153337820825938834419/500000000000000000000000000 9284390463711997889654829/1000000000000000000000000000 264060673652416086001242297/500000000000000000000000000 -39849541222498301791263/2500000000000000000000000
-11051710008884896650038541/200000000000000000000000000 -378758745463532268650003/7812500000000000000000000 -2527975212941738575822693/62500000000000000000000000 -97628593481444088757129709/1000000000000000000000000000 -34700514398325206382791131/500000000000000000000000000 6787966447524580596372103/200000000000000000000000000 -92530673637129237116000061/1000000000000000000000000000 -41476671725682424592547753/1000000000000000000000000000 -51000538788780681993406571/1000000000000000000000000000 2836234582945374356739831/62500000000000000000000000 -39849541222498301791263/2500000000000000000000000 471964707660344687888897539/1000000000000000000000000000


--- 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 :
2086233793488846312189135763/500000000000000000000000000 193786822069873341376521919/250000000000000000000000000 2115040369135791262801593739/1000000000000000000000000000 252687797779738950050143347/1000000000000000000000000000
193786822069873341376521919/250000000000000000000000000 362817128526396671824533283/250000000000000000000000000 96966103000370992081065937/100000000000000000000000000 317340515951166527738354921/500000000000000000000000000
2115040369135791262801593739/1000000000000000000000000000 96966103000370992081065937/100000000000000000000000000 4417958917025889638809912801/1000000000000000000000000000 568900300335077211229396387/1000000000000000000000000000
252687797779738950050143347/1000000000000000000000000000 317340515951166527738354921/500000000000000000000000000 568900300335077211229396387/1000000000000000000000000000 725044586688703212256401053/1000000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 110287253288457720780965847/1000000000000000000000000000 -825953160204412744704129/62500000000000000000000000 -16068077655475249141276203/1000000000000000000000000000 -23503960171601677648332309/1000000000000000000000000000 0/1
0/1 -825953160204412744704129/62500000000000000000000000 19190213484213474231541713/250000000000000000000000000 -1124921054516312178010863/250000000000000000000000000 -234159036782649721650891/12500000000000000000000000 0/1
0/1 -16068077655475249141276203/1000000000000000000000000000 -1124921054516312178010863/250000000000000000000000000 111685798017643344068755539/1000000000000000000000000000 -17877141318362407736543823/1000000000000000000000000000 0/1
0/1 -23503960171601677648332309/1000000000000000000000000000 -234159036782649721650891/12500000000000000000000000 -17877141318362407736543823/1000000000000000000000000000 43765230199423006101839151/1000000000000000000000000000 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 :
496778569640535206939519591/1000000000000000000000000000 -127448896967719852110456051/500000000000000000000000000 -120940388024807841970198623/1000000000000000000000000000 -26608344022180807780210629/500000000000000000000000000 5321668705014312814011327/100000000000000000000000000 -53216687368899406841055397/1000000000000000000000000000 4288682498805588693677241/250000000000000000000000000 28109925819170376220184099/1000000000000000000000000000 -49615850793526645294004653/1000000000000000000000000000 10752963005748659786020781/1000000000000000000000000000
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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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 23703641094170641894723503/1000000000000000000000000000 -245368781484971347108983/100000000000000000000000000 0/1 -14374549316750989019236269/500000000000000000000000000 0/1
0/1 -245368781484971347108983/100000000000000000000000000 955241264440255316820159/10000000000000000000000000 0/1 -1609831274955073304286541/50000000000000000000000000 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 -14374549316750989019236269/500000000000000000000000000 -1609831274955073304286541/50000000000000000000000000 0/1 28537379788561352974491633/250000000000000000000000000 0/1
0/1 0/1 0/1 0/1 0/1 0/1


--- 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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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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