#Density : 1565381866229200933899169743/8000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 7, 8, 11, 12, 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 :
29068437359907055569547897/125000000000000000000000000 -38754562725343633827317351/125000000000000000000000000 28929212507981324636946807/250000000000000000000000000 4962030629259109959441313/62500000000000000000000000 -16914462929150740500181387/250000000000000000000000000 7120456369505100464589717/50000000000000000000000000
-38754562725343633827317351/125000000000000000000000000 51668279014685791896347833/125000000000000000000000000 -38568945652431267584083881/250000000000000000000000000 -6615468347532575783254079/62500000000000000000000000 22550665742266372178720021/250000000000000000000000000 -9493120307377278139902411/50000000000000000000000000
28929212507981324636946807/250000000000000000000000000 -38568945652431267584083881/250000000000000000000000000 28790654481009193607173017/500000000000000000000000000 4938264715355448026378703/125000000000000000000000000 -16833450194700751936124997/500000000000000000000000000 7086352558852543768963227/100000000000000000000000000
4962030629259109959441313/62500000000000000000000000 -6615468347532575783254079/62500000000000000000000000 4938264715355448026378703/125000000000000000000000000 847026885582276280384777/31250000000000000000000000 -2887326968861256258603523/125000000000000000000000000 1215473751214413499992093/25000000000000000000000000
-16914462929150740500181387/250000000000000000000000000 22550665742266372178720021/250000000000000000000000000 -16833450194700751936124997/500000000000000000000000000 -2887326968861256258603523/125000000000000000000000000 9842257863376575784978177/500000000000000000000000000 -4143280693400657705792607/100000000000000000000000000
7120456369505100464589717/50000000000000000000000000 -9493120307377278139902411/50000000000000000000000000 7086352558852543768963227/100000000000000000000000000 1215473751214413499992093/25000000000000000000000000 -4143280693400657705792607/100000000000000000000000000 1744190727636274584220737/20000000000000000000000000


--- 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 :
1744190727636274584220737/20000000000000000000000000 1215473751214413499992093/25000000000000000000000000 -4143280693400657705792607/100000000000000000000000000 -9493120307377278139902411/50000000000000000000000000 7086352558852543768963227/100000000000000000000000000 7120456369505100464589717/50000000000000000000000000
1215473751214413499992093/25000000000000000000000000 847026885582276280384777/31250000000000000000000000 -2887326968861256258603523/125000000000000000000000000 -6615468347532575783254079/62500000000000000000000000 4938264715355448026378703/125000000000000000000000000 4962030629259109959441313/62500000000000000000000000
-4143280693400657705792607/100000000000000000000000000 -2887326968861256258603523/125000000000000000000000000 9842257863376575784978177/500000000000000000000000000 22550665742266372178720021/250000000000000000000000000 -16833450194700751936124997/500000000000000000000000000 -16914462929150740500181387/250000000000000000000000000
-9493120307377278139902411/50000000000000000000000000 -6615468347532575783254079/62500000000000000000000000 22550665742266372178720021/250000000000000000000000000 51668279014685791896347833/125000000000000000000000000 -38568945652431267584083881/250000000000000000000000000 -38754562725343633827317351/125000000000000000000000000
7086352558852543768963227/100000000000000000000000000 4938264715355448026378703/125000000000000000000000000 -16833450194700751936124997/500000000000000000000000000 -38568945652431267584083881/250000000000000000000000000 28790654481009193607173017/500000000000000000000000000 28929212507981324636946807/250000000000000000000000000
7120456369505100464589717/50000000000000000000000000 4962030629259109959441313/62500000000000000000000000 -16914462929150740500181387/250000000000000000000000000 -38754562725343633827317351/125000000000000000000000000 28929212507981324636946807/250000000000000000000000000 29068437359907055569547897/125000000000000000000000000


--- 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 :
964518508369848263562484007/1000000000000000000000000000 145182460221790507953808497/250000000000000000000000000 -9250743188764011253056437/50000000000000000000000000 -750004853576465617048287231/500000000000000000000000000 -478539711023168057032174693/1000000000000000000000000000 -2069196622525606987610367151/1000000000000000000000000000 606078557089194448654383397/1000000000000000000000000000 1561516934939311086949231351/500000000000000000000000000 -25917329274396620883868967/1000000000000000000000000000 917510334793542471442549637/500000000000000000000000000 -568689559940528216336839767/500000000000000000000000000 -822519709794372222520646057/500000000000000000000000000
145182460221790507953808497/250000000000000000000000000 211724439672506454335658207/500000000000000000000000000 -90140963239480203541379471/500000000000000000000000000 -95788337471771467469185819/100000000000000000000000000 -29698368358342308599826833/62500000000000000000000000 -230170550646169163661629599/250000000000000000000000000 1785973176810302796963773/25000000000000000000000000 463745366178654793982978297/250000000000000000000000000 55508236048389533689401653/500000000000000000000000000 270209243718242250805861381/250000000000000000000000000 -131868648481785474525924009/250000000000000000000000000 -18778524942101516495426631/20000000000000000000000000
-9250743188764011253056437/50000000000000000000000000 -90140963239480203541379471/500000000000000000000000000 34428227536961412172159967/62500000000000000000000000 -265380839427182708150041987/500000000000000000000000000 37562213310451204539216017/125000000000000000000000000 8525742848836261610316049/250000000000000000000000000 10771798783945338869346111/100000000000000000000000000 8188964501789788060182567/25000000000000000000000000 4039936680922512565413109/62500000000000000000000000 -124835580608739990341587697/500000000000000000000000000 -79704962622348098707762661/500000000000000000000000000 33472257560379487149761983/500000000000000000000000000
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-822519709794372222520646057/500000000000000000000000000 -18778524942101516495426631/20000000000000000000000000 33472257560379487149761983/500000000000000000000000000 1207863475715412537349964059/500000000000000000000000000 105594210924910438318694507/100000000000000000000000000 194519819965946726450674617/62500000000000000000000000 -323774452353109169620135089/250000000000000000000000000 -119469689880805233485725707/20000000000000000000000000 -67413206173664882074949111/250000000000000000000000000 -1412218954553520987675656041/500000000000000000000000000 653368944076813550263818419/250000000000000000000000000 793926110903804436004815453/250000000000000000000000000


--- 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 :
323376890920062131236039947/1000000000000000000000000000 214924001486523214766425791/1000000000000000000000000000 2458126138911820474812587/4000000000000000000000000 477236032070619896840830213/500000000000000000000000000
214924001486523214766425791/1000000000000000000000000000 142843622138718774522770373/1000000000000000000000000000 40843232806817486666789111/100000000000000000000000000 317182460334099790506244129/500000000000000000000000000
2458126138911820474812587/4000000000000000000000000 40843232806817486666789111/100000000000000000000000000 669436822812688836902976877/500000000000000000000000000 192532538592412219162192659/125000000000000000000000000
477236032070619896840830213/500000000000000000000000000 317182460334099790506244129/500000000000000000000000000 192532538592412219162192659/125000000000000000000000000 1231461601719277160368411561/250000000000000000000000000


--- 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 :
140176761091634880376151813/100000000000000000000000000 284234110465638377227287109/250000000000000000000000000 -36252609438926531076722209/500000000000000000000000000 -1055338184710890502633176821/1000000000000000000000000000 -260627251036103937585939249/500000000000000000000000000 -956122138093508648769084309/1000000000000000000000000000 284234110465638377227287109/250000000000000000000000000 -1308959141504361252544093799/1000000000000000000000000000 -8979907352935788273495217/8000000000000000000000000 48153191421111492582407029/500000000000000000000000000
284234110465638377227287109/250000000000000000000000000 1614912059746936885710100273/500000000000000000000000000 414159039609566510040442451/250000000000000000000000000 -1348163661544177789148842883/500000000000000000000000000 -1110062710077559590635720379/500000000000000000000000000 -796817826637762952410357869/250000000000000000000000000 1614912059746936885710100273/500000000000000000000000000 -242606071346564096773255519/62500000000000000000000000 -1348163661544177789148842883/500000000000000000000000000 284234110465638377227287109/250000000000000000000000000
-36252609438926531076722209/500000000000000000000000000 414159039609566510040442451/250000000000000000000000000 822813927329118508180125407/250000000000000000000000000 -906355786408047201950258719/1000000000000000000000000000 -26348490343458596957454657/12500000000000000000000000 -2252343854394921144827053521/1000000000000000000000000000 414159039609566510040442451/250000000000000000000000000 -2204903909541722104268502007/1000000000000000000000000000 -906355786408047201950258719/1000000000000000000000000000 -36252609438926531076722209/500000000000000000000000000
-1055338184710890502633176821/1000000000000000000000000000 -1348163661544177789148842883/500000000000000000000000000 -906355786408047201950258719/1000000000000000000000000000 2439714327730575897724327771/1000000000000000000000000000 1664212866050176139726103717/1000000000000000000000000000 2540247527220489814884728661/1000000000000000000000000000 -1348163661544177789148842883/500000000000000000000000000 3198765262745745321753419807/1000000000000000000000000000 2281002381897351141881993043/1000000000000000000000000000 -8979907352935788273495217/8000000000000000000000000
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48153191421111492582407029/500000000000000000000000000 284234110465638377227287109/250000000000000000000000000 -36252609438926531076722209/500000000000000000000000000 -8979907352935788273495217/8000000000000000000000000 -260627251036103937585939249/500000000000000000000000000 -956122138093508648769084309/1000000000000000000000000000 284234110465638377227287109/250000000000000000000000000 -1308959141504361252544093799/1000000000000000000000000000 -1055338184710890502633176821/1000000000000000000000000000 140176761091634880376151813/100000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 131316233271435376098040333/1000000000000000000000000000 15822208234034069197567171/1000000000000000000000000000 0/1 0/1 -82450167755541272566418039/1000000000000000000000000000
0/1 15822208234034069197567171/1000000000000000000000000000 5262148041337245985709731/100000000000000000000000000 0/1 0/1 3955311899244625284697171/250000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1 0/1 0/1
0/1 -82450167755541272566418039/1000000000000000000000000000 3955311899244625284697171/250000000000000000000000000 0/1 0/1 2626298451178190969463959/20000000000000000000000000


--- 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 :
759142127632049069379203/7812500000000000000000000 2680869551977558842050239/12500000000000000000000000 39150274637898356183505321/62500000000000000000000000 36192257342954551824301/625000000000000000000000 41540991854565962814351/625000000000000000000000 -36598919145328282970107721/62500000000000000000000000 -46669204694634280151953/625000000000000000000000 -2472193803463155512233399/12500000000000000000000000 -443696452682152823983203/7812500000000000000000000
2680869551977558842050239/12500000000000000000000000 13883880460933025375830961/25000000000000000000000000 32620381478482864353214457/20000000000000000000000000 2394214595798957373093429/100000000000000000000000000 2748047685440340593739879/100000000000000000000000000 -161414117514734246295075781/100000000000000000000000000 -3087292676867915161207737/100000000000000000000000000 -27422649453584205901212013/50000000000000000000000000 -2472193803463155512233399/12500000000000000000000000
39150274637898356183505321/62500000000000000000000000 32620381478482864353214457/20000000000000000000000000 2395484217286669528764449627/500000000000000000000000000 1463632598150590548635203/25000000000000000000000000 1679938039280294172220353/25000000000000000000000000 -2374848604354263964483115067/500000000000000000000000000 -1887325476097344425257759/25000000000000000000000000 -161414117514734246295075781/100000000000000000000000000 -36598919145328282970107721/62500000000000000000000000
36192257342954551824301/625000000000000000000000 2394214595798957373093429/100000000000000000000000000 1463632598150590548635203/25000000000000000000000000 16609890014015277132242549/100000000000000000000000000 19064610953639891758344999/100000000000000000000000000 1463632598150590548635203/25000000000000000000000000 -21418126801928841923791097/100000000000000000000000000 2394214595798957373093429/100000000000000000000000000 36192257342954551824301/625000000000000000000000
41540991854565962814351/625000000000000000000000 2748047685440340593739879/100000000000000000000000000 1679938039280294172220353/25000000000000000000000000 19064610953639891758344999/100000000000000000000000000 21882107016179056513319949/100000000000000000000000000 1679938039280294172220353/25000000000000000000000000 -24583441220258352254020947/100000000000000000000000000 2748047685440340593739879/100000000000000000000000000 41540991854565962814351/625000000000000000000000
-36598919145328282970107721/62500000000000000000000000 -161414117514734246295075781/100000000000000000000000000 -2374848604354263964483115067/500000000000000000000000000 1463632598150590548635203/25000000000000000000000000 1679938039280294172220353/25000000000000000000000000 2395484217286669528764449627/500000000000000000000000000 -1887325476097344425257759/25000000000000000000000000 32620381478482864353214457/20000000000000000000000000 39150274637898356183505321/62500000000000000000000000
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-2472193803463155512233399/12500000000000000000000000 -27422649453584205901212013/50000000000000000000000000 -161414117514734246295075781/100000000000000000000000000 2394214595798957373093429/100000000000000000000000000 2748047685440340593739879/100000000000000000000000000 32620381478482864353214457/20000000000000000000000000 -3087292676867915161207737/100000000000000000000000000 13883880460933025375830961/25000000000000000000000000 2680869551977558842050239/12500000000000000000000000
-443696452682152823983203/7812500000000000000000000 -2472193803463155512233399/12500000000000000000000000 -36598919145328282970107721/62500000000000000000000000 36192257342954551824301/625000000000000000000000 41540991854565962814351/625000000000000000000000 39150274637898356183505321/62500000000000000000000000 -46669204694634280151953/625000000000000000000000 2680869551977558842050239/12500000000000000000000000 759142127632049069379203/7812500000000000000000000


--- 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 :
922631789275384120608704331/1000000000000000000000000000 40345775612931749/6250000000000000000000000 3372109098044744709801349/62500000000000000000000000 -3372109098044744709801349/62500000000000000000000000 -10790746832403584962057807/200000000000000000000000000 12412256853347328293460483/1000000000000000000000000000 71320145974429729/200000000000000000000000000
40345775612931749/6250000000000000000000000 527223151842687482568448211/1000000000000000000000000000 492252647006975391058739951/1000000000000000000000000000 -492252647006975391058739951/1000000000000000000000000000 492252646018221788091143367/1000000000000000000000000000 -1233553358402693/3906250000000000000000000 1241213353181591434955671/100000000000000000000000000
3372109098044744709801349/62500000000000000000000000 492252647006975391058739951/1000000000000000000000000000 928518534787682597932799439/1000000000000000000000000000 -928518534787682597932799439/1000000000000000000000000000 -89151557810195951/200000000000000000000000000 -61531581074966438674896023/125000000000000000000000000 -1079075204369831182440303/20000000000000000000000000
-3372109098044744709801349/62500000000000000000000000 -492252647006975391058739951/1000000000000000000000000000 -928518534787682597932799439/1000000000000000000000000000 928518534787682597932799439/1000000000000000000000000000 89151557810195951/200000000000000000000000000 61531581074966438674896023/125000000000000000000000000 1079075204369831182440303/20000000000000000000000000
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12412256853347328293460483/1000000000000000000000000000 -1233553358402693/3906250000000000000000000 -61531581074966438674896023/125000000000000000000000000 61531581074966438674896023/125000000000000000000000000 492252649384185970478833257/1000000000000000000000000000 105444632775020756359570319/200000000000000000000000000 -1236674474444719231/200000000000000000000000000
71320145974429729/200000000000000000000000000 1241213353181591434955671/100000000000000000000000000 -1079075204369831182440303/20000000000000000000000000 1079075204369831182440303/20000000000000000000000000 -10790754438583191774004723/200000000000000000000000000 -1236674474444719231/200000000000000000000000000 184526107718690778906130131/200000000000000000000000000


--- 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 :
793926110903804436004815453/250000000000000000000000000 194519819965946726450674617/62500000000000000000000000 -1412218954553520987675656041/500000000000000000000000000 1207863475715412537349964059/500000000000000000000000000 -119469689880805233485725707/20000000000000000000000000 -18778524942101516495426631/20000000000000000000000000 653368944076813550263818419/250000000000000000000000000 105594210924910438318694507/100000000000000000000000000 -67413206173664882074949111/250000000000000000000000000 33472257560379487149761983/500000000000000000000000000 -323774452353109169620135089/250000000000000000000000000 -822519709794372222520646057/500000000000000000000000000
194519819965946726450674617/62500000000000000000000000 9084259004249168484183831949/1000000000000000000000000000 -720332328394716010902481437/125000000000000000000000000 2719127915969010850925275489/500000000000000000000000000 -730096049897891321823911643/125000000000000000000000000 -230170550646169163661629599/250000000000000000000000000 479353994522577928626666509/500000000000000000000000000 -1645469171758309633785171439/1000000000000000000000000000 2124872071448648383580369903/1000000000000000000000000000 8525742848836261610316049/250000000000000000000000000 -490029460763761249043892439/200000000000000000000000000 -2069196622525606987610367151/1000000000000000000000000000
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--- 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 :
1231461601719277160368411561/250000000000000000000000000 317182460334099790506244129/500000000000000000000000000 192532538592412219162192659/125000000000000000000000000 477236032070619896840830213/500000000000000000000000000
317182460334099790506244129/500000000000000000000000000 142843622138718774522770373/1000000000000000000000000000 40843232806817486666789111/100000000000000000000000000 214924001486523214766425791/1000000000000000000000000000
192532538592412219162192659/125000000000000000000000000 40843232806817486666789111/100000000000000000000000000 669436822812688836902976877/500000000000000000000000000 2458126138911820474812587/4000000000000000000000000
477236032070619896840830213/500000000000000000000000000 214924001486523214766425791/1000000000000000000000000000 2458126138911820474812587/4000000000000000000000000 323376890920062131236039947/1000000000000000000000000000


--- 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 :
147441686043104672515777583/100000000000000000000000000 5042571415196454949358713/25000000000000000000000000 -2121490397965413564217397/12500000000000000000000000 -81298470022974331711570931/100000000000000000000000000 -27806508689273845784870603/100000000000000000000000000 -39989965843634565374232621/100000000000000000000000000
5042571415196454949358713/25000000000000000000000000 251334640524370117270457/6250000000000000000000000 -189184282831338657334391/6250000000000000000000000 -695110982568599030206027/6250000000000000000000000 -47549749890295734720881/1250000000000000000000000 -85479666607337945496807/1562500000000000000000000
-2121490397965413564217397/12500000000000000000000000 -189184282831338657334391/6250000000000000000000000 909031152553442168839981/12500000000000000000000000 4679108822239161834331403/50000000000000000000000000 320079037784530219181263/10000000000000000000000000 2301610375263155700159777/50000000000000000000000000
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-27806508689273845784870603/100000000000000000000000000 -47549749890295734720881/1250000000000000000000000 320079037784530219181263/10000000000000000000000000 1916542968432965229517339/12500000000000000000000000 1311030052350011456688381/25000000000000000000000000 3770919075049441504449597/50000000000000000000000000
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--- 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 :
950935551092655265305261721/500000000000000000000000000 -938571071197693000393245703/500000000000000000000000000 -12364480415305678015342091/1000000000000000000000000000 -347425373483559429921058709/500000000000000000000000000 694850746568822849247919949/1000000000000000000000000000 -694850744618751868811201993/1000000000000000000000000000 0/1 278240208728208417827361437/1000000000000000000000000000 -278240208728208417827361437/1000000000000000000000000000 -506894161251736523/250000000000000000000000000
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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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