#Density : 5623233456507406569967343417/32000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 8, 10, 12, 13, 15}
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 :
4459270093498531307458377/62500000000000000000000000 -7997871527956308928050351/125000000000000000000000000 17512961946413621747345433/250000000000000000000000000 -13730421211199970430891131/125000000000000000000000000 4649146994172945760596729/62500000000000000000000000 27619370629509111277156299/250000000000000000000000000
-7997871527956308928050351/125000000000000000000000000 14344488590398331579925913/250000000000000000000000000 -31410167310927415319267679/500000000000000000000000000 24626035779265539901459053/250000000000000000000000000 -8338423014159078357344127/125000000000000000000000000 -49536397963398310026363037/500000000000000000000000000
17512961946413621747345433/250000000000000000000000000 -31410167310927415319267679/500000000000000000000000000 68778932360185059479790057/1000000000000000000000000000 -53923700322740881159000299/500000000000000000000000000 18258668500690781833597641/250000000000000000000000000 108469990979846982857850171/1000000000000000000000000000
-13730421211199970430891131/125000000000000000000000000 24626035779265539901459053/250000000000000000000000000 -53923700322740881159000299/500000000000000000000000000 42276978672324090946221393/250000000000000000000000000 -14315066179966931001122187/125000000000000000000000000 -85042077375914902542360897/500000000000000000000000000
4649146994172945760596729/62500000000000000000000000 -8338423014159078357344127/125000000000000000000000000 18258668500690781833597641/250000000000000000000000000 -14315066179966931001122187/125000000000000000000000000 4847108903526759535749033/62500000000000000000000000 28795410740054361557032923/250000000000000000000000000
27619370629509111277156299/250000000000000000000000000 -49536397963398310026363037/500000000000000000000000000 108469990979846982857850171/1000000000000000000000000000 -85042077375914902542360897/500000000000000000000000000 28795410740054361557032923/250000000000000000000000000 171066030533196669028990513/1000000000000000000000000000


--- Term 2 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {}
F2 : {2}
F3 : {3}
F4 : {2, 3}
F5 : {1, 2}
F6 : {1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
453757798059354288302339/4000000000000000000000000 365288111555045105156211/100000000000000000000000000 -1211146506967650185798297/20000000000000000000000000 -3347708627985690168855933/25000000000000000000000000 -2120186037524234197118827/50000000000000000000000000 1937630207455771286767381/20000000000000000000000000
365288111555045105156211/100000000000000000000000000 3354565867398657493057467/25000000000000000000000000 -14526643684826073031736301/500000000000000000000000000 -68885558389710652028533173/500000000000000000000000000 23062092263693459770418433/250000000000000000000000000 -13015156070802536998971651/62500000000000000000000000
-1211146506967650185798297/20000000000000000000000000 -14526643684826073031736301/500000000000000000000000000 756132478611439505619919/20000000000000000000000000 3077031461449697930879277/31250000000000000000000000 927726582599729843395537/250000000000000000000000000 -898814049054840733403227/100000000000000000000000000
-3347708627985690168855933/25000000000000000000000000 -68885558389710652028533173/500000000000000000000000000 3077031461449697930879277/31250000000000000000000000 145463292319108937878615437/500000000000000000000000000 -539196690379906181512347/12500000000000000000000000 48022126676145883871005101/500000000000000000000000000
-2120186037524234197118827/50000000000000000000000000 23062092263693459770418433/250000000000000000000000000 927726582599729843395537/250000000000000000000000000 -539196690379906181512347/12500000000000000000000000 10152302836876442158416823/125000000000000000000000000 -45950655001271949660031949/250000000000000000000000000
1937630207455771286767381/20000000000000000000000000 -13015156070802536998971651/62500000000000000000000000 -898814049054840733403227/100000000000000000000000000 48022126676145883871005101/500000000000000000000000000 -45950655001271949660031949/250000000000000000000000000 10399166061352339679931197/25000000000000000000000000


--- 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 :
1417279086809440363039362957/1000000000000000000000000000 618188394021772844453977081/1000000000000000000000000000 987962506254014417621072761/1000000000000000000000000000 1081684821342262278148416803/1000000000000000000000000000 129647619280248098444657161/250000000000000000000000000 160038201518376595401461619/125000000000000000000000000 -62577543696071007423762199/31250000000000000000000000 -1901500954361246275177743081/1000000000000000000000000000 -938283371977853370518821433/1000000000000000000000000000 -2372996580933858114174270337/1000000000000000000000000000 -47795077735804960625792659/200000000000000000000000000 -82835951967265349606263667/200000000000000000000000000
618188394021772844453977081/1000000000000000000000000000 346989100639569198313403/320000000000000000000000 116277010554557078470267811/200000000000000000000000000 -1034134949986195381671941/200000000000000000000000000 14770447490265969350072771/50000000000000000000000000 477287074638272949505157641/500000000000000000000000000 -38101303686739966756916551/50000000000000000000000000 -551579033998348269251849111/1000000000000000000000000000 -282154424113765854039555927/1000000000000000000000000000 -1718839856576279796516505347/1000000000000000000000000000 -1360809294670931464257826769/1000000000000000000000000000 -49412264530745192465018821/40000000000000000000000000
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--- Term 9 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 8
Matrix dimension   : 4

Flags :
F1 : {3, 5}
F2 : {3, 4, 5}
F3 : {3, 6}
F4 : {3, 4, 6}
F5 : {3, 5, 7}
F6 : {3, 4, 5, 7}
F7 : {3, 6, 7}
F8 : {3, 4, 6, 7}

Basis :
B1 : (F3)-(F1)
B2 : (F4)-(F2)
B3 : (F7)-(F5)
B4 : (F8)-(F6)

Matrix :
822391662613010711230087/2500000000000000000000000 8135574361098286388247/20000000000000000000000 769901962537250852651797/500000000000000000000000 -162089699295156446994193/125000000000000000000000
8135574361098286388247/20000000000000000000000 80481810789107415207/160000000000000000000 7616315864725326242757/4000000000000000000000 -1603485129693413906433/1000000000000000000000
769901962537250852651797/500000000000000000000000 7616315864725326242757/4000000000000000000000 720762452813967502927807/100000000000000000000000 -151744215399636390504883/25000000000000000000000
-162089699295156446994193/125000000000000000000000 -1603485129693413906433/1000000000000000000000 -151744215399636390504883/25000000000000000000000 31947150989001995304727/6250000000000000000000


--- 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 :
993487519438829116432184313/125000000000000000000000000 4379394445195987109034407441/1000000000000000000000000000 788766725630610695410817739/1000000000000000000000000000 -1646890732023579911756373583/1000000000000000000000000000 -113823196706710501717192869/50000000000000000000000000 210823803023840014660072457/500000000000000000000000000 -3199387743091731807099116039/1000000000000000000000000000 -1520858835702627127491412741/1000000000000000000000000000 5666517017537317288308511/200000000000000000000000000 -610840816609646264889698887/1000000000000000000000000000
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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 :
840237929725289766135668457/1000000000000000000000000000 -215463704580466629776580321/125000000000000000000000000 -2004130165607491974594632049/1000000000000000000000000000 -129127008332523123080835261/500000000000000000000000000 -619147560011747451566012709/1000000000000000000000000000 59392197111147576635569557/125000000000000000000000000
-215463704580466629776580321/125000000000000000000000000 688577430647554306256610279/125000000000000000000000000 709079056508855838367302417/125000000000000000000000000 1120698386359014170772060039/500000000000000000000000000 1181430990887694938813057643/500000000000000000000000000 -178181157799154173020968331/250000000000000000000000000
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59392197111147576635569557/125000000000000000000000000 -178181157799154173020968331/250000000000000000000000000 -115740245324611749566786199/125000000000000000000000000 40652938113535590592110627/500000000000000000000000000 -102488184299593186997778201/500000000000000000000000000 75870157189969800885264297/250000000000000000000000000


--- 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 :
273810912689493438370419/200000000000000000000000000 128783827445320909052559/12500000000000000000000000 6325746037887731401312159/200000000000000000000000000 -442465932361127196324957/40000000000000000000000000 -1087635920169464147662359/100000000000000000000000000 -685497330107702195671853/10000000000000000000000000 3321460645616395656657307/200000000000000000000000000 -26007685837485712571031/40000000000000000000000000 -706390170748956924725891/50000000000000000000000000
128783827445320909052559/12500000000000000000000000 969151977095913282506019/12500000000000000000000000 11900968857732682881131537/50000000000000000000000000 -260135980852282577687679/3125000000000000000000000 -4092456806505120842817753/50000000000000000000000000 -25793265581034232264682417/50000000000000000000000000 6248843925903900567011219/50000000000000000000000000 -244648344527095034851497/50000000000000000000000000 -1063176089984029842388787/10000000000000000000000000
6325746037887731401312159/200000000000000000000000000 11900968857732682881131537/50000000000000000000000000 365353069229477189377742779/500000000000000000000000000 -255552918798704798307152157/1000000000000000000000000000 -251272257379987379466057313/1000000000000000000000000000 -1583677574176467625811051111/1000000000000000000000000000 47959000959437828230061401/125000000000000000000000000 -7510566965042338257631393/500000000000000000000000000 -326389096762213428284204537/1000000000000000000000000000
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--- Term 13 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 7

Flags :
F1  : {1, 2, 4}
F2  : {1, 2, 5}
F3  : {1, 2, 4, 5}
F4  : {1, 2, 6}
F5  : {1, 2, 4, 6}
F6  : {1, 2, 4, 5, 6}
F7  : {1, 2, 7}
F8  : {1, 2, 5, 7}
F9  : {1, 2, 4, 5, 7}
F10 : {1, 2, 6, 7}
F11 : {1, 2, 4, 6, 7}
F12 : {1, 2, 5, 6, 7}

Basis :
B1 : (F7)-(F1)
B2 : (F4)-(F2)
B3 : (F5)-(F3)
B4 : (F8)-(F3)
B5 : (F10)-(F3)
B6 : (F12)-(F6)
B7 : (F11)-(F9)

Matrix :
14522455909050239262203803/500000000000000000000000000 -21863567430297293/250000000000000000000000000 1120568567256025659773587/500000000000000000000000000 -1120568805297636632106001/500000000000000000000000000 -560284316231687166270767/250000000000000000000000000 -2674193813631800613356511/125000000000000000000000000 -28622248353286633/500000000000000000000000000
-21863567430297293/250000000000000000000000000 397515739093468902001377487/200000000000000000000000000 67961403575469038321997039/62500000000000000000000000 -1087382457977527815159855819/1000000000000000000000000000 1087382456252183612059602517/1000000000000000000000000000 357602035538435569/1000000000000000000000000000 1135048833870655957832040769/1000000000000000000000000000
1120568567256025659773587/500000000000000000000000000 67961403575469038321997039/62500000000000000000000000 51189317095405088578964087/50000000000000000000000000 -134900553378252776050214161/250000000000000000000000000 39545618391406122715327637/100000000000000000000000000 -825374750235255629605503/500000000000000000000000000 6209727408336630933661171/10000000000000000000000000
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--- 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 :
135099286181126289590598623/8000000000000000000000000 -8822956972647349699691779/125000000000000000000000000 -5453588735202446757126318727/500000000000000000000000000 -152500399439472555971056153/125000000000000000000000000 -4380007688667593074840122317/250000000000000000000000000 697699771359053041157235629/1000000000000000000000000000 9295035880469172430553483/50000000000000000000000000 -1691849739529535149596252611/1000000000000000000000000000 695604781347561181660572873/500000000000000000000000000 -27702700393441758345049237/1000000000000000000000000000 6798613426966455612022208467/1000000000000000000000000000 1115240453184418756975002343/1000000000000000000000000000
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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 :
673834915062775054842403/244140625000000000000000 127456234528821777941119/39062500000000000000000 48798294658749613820255007/15625000000000000000000000 37469314496894141493100419/15625000000000000000000000
127456234528821777941119/39062500000000000000000 24108414920518943067787/6250000000000000000000 9230223530421711792848811/2500000000000000000000000 7087340874441647580366687/2500000000000000000000000
48798294658749613820255007/15625000000000000000000000 9230223530421711792848811/2500000000000000000000000 3533912399567940976217390283/1000000000000000000000000000 2713481608934526495383360511/1000000000000000000000000000
37469314496894141493100419/15625000000000000000000000 7087340874441647580366687/2500000000000000000000000 2713481608934526495383360511/1000000000000000000000000000 2083521493890485469412495587/1000000000000000000000000000


--- 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 :
1060645024583663659433051/400000000000000000000000 2282623228689910910285361/4000000000000000000000000 -170991768507853322099873/500000000000000000000000 -1012720952279436758897143/500000000000000000000000 -825894997892100686005841/1000000000000000000000000 55580007743116787258273/500000000000000000000000
2282623228689910910285361/4000000000000000000000000 4912452972850163528118771/40000000000000000000000000 -367992847431686935560003/5000000000000000000000000 -2179485422808076728515973/5000000000000000000000000 -1777415688521536012308051/10000000000000000000000000 119614210018100289422403/5000000000000000000000000
-170991768507853322099873/500000000000000000000000 -367992847431686935560003/5000000000000000000000000 27566418754399193100179/625000000000000000000000 163265694574102832606389/625000000000000000000000 133146569321619967387043/1250000000000000000000000 -8960324705625456223379/625000000000000000000000
-1012720952279436758897143/500000000000000000000000 -2179485422808076728515973/5000000000000000000000000 163265694574102832606389/625000000000000000000000 966962276175623187970499/625000000000000000000000 788577845897523760152613/1250000000000000000000000 -53068686567781830897589/625000000000000000000000
-825894997892100686005841/1000000000000000000000000 -1777415688521536012308051/10000000000000000000000000 133146569321619967387043/1250000000000000000000000 788577845897523760152613/1250000000000000000000000 643101633188671749207731/2500000000000000000000000 -43278617552430267681443/1250000000000000000000000
55580007743116787258273/500000000000000000000000 119614210018100289422403/5000000000000000000000000 -8960324705625456223379/625000000000000000000000 -53068686567781830897589/625000000000000000000000 -43278617552430267681443/1250000000000000000000000 2912508133376201906579/625000000000000000000000


--- 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 :
274813457381067029799435039/250000000000000000000000000 -515889856043283683751590049/500000000000000000000000000 -8434264295153069639271439/250000000000000000000000000 -19607987044344108340377737/100000000000000000000000000 98039935081924013159882429/500000000000000000000000000 -24509983573201803265654947/125000000000000000000000000 -2829238854939432732689811/50000000000000000000000000 -44073629550325694868184621/62500000000000000000000000 7606630641095295727104347/12500000000000000000000000 188764880614719409961013/3906250000000000000000000
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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 :
3114329679819457712687041/50000000000000000000000000 3984774818705466481272643/200000000000000000000000000 1173193494535083462494251/20000000000000000000000000 -3988987298774148872180947/100000000000000000000000000 -11522782304500895567200149/100000000000000000000000000 -7466696635580280077451351/100000000000000000000000000
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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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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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