#Density : 8575828382116374546664119297/32000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {9, 10, 11, 12, 13, 14, 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 :
6474995609522909753647199/200000000000000000000000000 -22496063223401503874114971/200000000000000000000000000 -10308746360336103020463603/1000000000000000000000000000 64780261276430257004398893/1000000000000000000000000000 11776814807548722854954241/250000000000000000000000000 60040903677512812533540773/1000000000000000000000000000
-22496063223401503874114971/200000000000000000000000000 3133359284626833411210527/8000000000000000000000000 6639536344724630336547987/200000000000000000000000000 -41875371383008527522368493/200000000000000000000000000 -1634727863253530127688221/10000000000000000000000000 -8735538351236867648044657/40000000000000000000000000
-10308746360336103020463603/1000000000000000000000000000 6639536344724630336547987/200000000000000000000000000 11072715258240912433728987/1000000000000000000000000000 -13462535274149868892350417/200000000000000000000000000 -3892669088001883538176737/250000000000000000000000000 10009262379805360088338779/1000000000000000000000000000
64780261276430257004398893/1000000000000000000000000000 -41875371383008527522368493/200000000000000000000000000 -13462535274149868892350417/200000000000000000000000000 409399537583186427401372043/1000000000000000000000000000 24420009649586622445495863/250000000000000000000000000 -54416963869260612112978701/1000000000000000000000000000
11776814807548722854954241/250000000000000000000000000 -1634727863253530127688221/10000000000000000000000000 -3892669088001883538176737/250000000000000000000000000 24420009649586622445495863/250000000000000000000000000 34292663662877811364803/500000000000000000000000 4261398142574131001734599/50000000000000000000000000
60040903677512812533540773/1000000000000000000000000000 -8735538351236867648044657/40000000000000000000000000 10009262379805360088338779/1000000000000000000000000000 -54416963869260612112978701/1000000000000000000000000000 4261398142574131001734599/50000000000000000000000000 44050855002585808776287219/200000000000000000000000000


--- 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 :
2664759522592757765644117/200000000000000000000000000 -2883234368621326090216847/500000000000000000000000000 -8030449970751458466421853/500000000000000000000000000 -180045264231176887203759/10000000000000000000000000 -716339450563536280269929/31250000000000000000000000 4826105669418106419882787/500000000000000000000000000
-2883234368621326090216847/500000000000000000000000000 81306003707210673248078089/125000000000000000000000000 -1518402487328350693342381/15625000000000000000000000 -59444691625667606969858931/250000000000000000000000000 26815230304937796838221217/50000000000000000000000000 -201031269679139309766313711/250000000000000000000000000
-8030449970751458466421853/500000000000000000000000000 -1518402487328350693342381/15625000000000000000000000 4511781491509688039736577/125000000000000000000000000 15291887319893781243465861/250000000000000000000000000 -14240078723076607911245071/250000000000000000000000000 29230024074710411985250079/250000000000000000000000000
-180045264231176887203759/10000000000000000000000000 -59444691625667606969858931/250000000000000000000000000 15291887319893781243465861/250000000000000000000000000 5869997123984073683272257/50000000000000000000000000 -42130317122837835146891937/250000000000000000000000000 9066671396538345728046657/31250000000000000000000000
-716339450563536280269929/31250000000000000000000000 26815230304937796838221217/50000000000000000000000000 -14240078723076607911245071/250000000000000000000000000 -42130317122837835146891937/250000000000000000000000000 116765321894725053814794593/250000000000000000000000000 -83308477190847059700732953/125000000000000000000000000
4826105669418106419882787/500000000000000000000000000 -201031269679139309766313711/250000000000000000000000000 29230024074710411985250079/250000000000000000000000000 9066671396538345728046657/31250000000000000000000000 -83308477190847059700732953/125000000000000000000000000 248647527829457026157061029/250000000000000000000000000


--- 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 :
697859446372161387052139863/500000000000000000000000000 64186137783227405545952067/1000000000000000000000000000 22557933695132930646174219/100000000000000000000000000 1484180417198355488480350497/1000000000000000000000000000 -32543837428495652957628739/250000000000000000000000000 127883297870288326214443579/1000000000000000000000000000 -65728805156632250039630667/100000000000000000000000000 -28861841901579018107450737/50000000000000000000000000 -324767662172829172875445963/1000000000000000000000000000 -335157037888592025853531/500000000000000000000000 -50059370681249639466619313/125000000000000000000000000 -351705788755336593454697653/1000000000000000000000000000
64186137783227405545952067/1000000000000000000000000000 92243240762534720905933/31250000000000000000000000 5186956513190753930695957/500000000000000000000000000 1706357369823764494553587/25000000000000000000000000 -299324347336613350044673/50000000000000000000000000 588108163884884399975611/100000000000000000000000000 -3022727735681931842345859/100000000000000000000000000 -26545892165003973764382619/1000000000000000000000000000 -14935372745993558679030597/1000000000000000000000000000 -15413158152053502747339031/500000000000000000000000000 -920849515068345311186193/50000000000000000000000000 -8087100081067347578081157/500000000000000000000000000
22557933695132930646174219/100000000000000000000000000 5186956513190753930695957/500000000000000000000000000 1139333050962429113641677/31250000000000000000000000 119938347244642244051105651/500000000000000000000000000 -1051962154719749459650311/50000000000000000000000000 10334398348194696574116787/500000000000000000000000000 -13279053245661518331581721/125000000000000000000000000 -46647180841342601970891593/500000000000000000000000000 -820151651294949141460159/15625000000000000000000000 -1354221518618431719297913/12500000000000000000000000 -404535601874442727703479/6250000000000000000000000 -28421754138209839082686971/500000000000000000000000000
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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 :
462813645797880849038312919/250000000000000000000000000 193043347731882151952804223/62500000000000000000000000 40178349746300631636747093/62500000000000000000000000 148929026612168133651186993/250000000000000000000000000
193043347731882151952804223/62500000000000000000000000 1288319285894417901269629211/250000000000000000000000000 268139479871967288565269121/250000000000000000000000000 248478048534546953483078809/250000000000000000000000000
40178349746300631636747093/62500000000000000000000000 268139479871967288565269121/250000000000000000000000000 55808200228946582523630611/250000000000000000000000000 51716042576240830114915259/250000000000000000000000000
148929026612168133651186993/250000000000000000000000000 248478048534546953483078809/250000000000000000000000000 51716042576240830114915259/250000000000000000000000000 358025629098828812286179833/125000000000000000000000000


--- 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 :
101712283889189101262842287/62500000000000000000000000 24869894529925004843658791/250000000000000000000000000 396082509611677696664596769/1000000000000000000000000000 162360908712263547708899429/250000000000000000000000000 -26737760840406223703918757/100000000000000000000000000 -301256148525825917553297649/1000000000000000000000000000 -1375715372165591121485597/50000000000000000000000000 -23629560224421690128513483/40000000000000000000000000 -410069717813324473334675457/1000000000000000000000000000 -96780502351807947515941539/200000000000000000000000000
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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 :
61516704735244360660850881/500000000000000000000000000 -412388082325858978893348727/1000000000000000000000000000 -106319500215324782854362803/1000000000000000000000000000 23276397382054609037171519/1000000000000000000000000000 -8639423372987077474499109/100000000000000000000000000 -27063962741745188271524757/500000000000000000000000000
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--- 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 :
3982929695324179697485363347/1000000000000000000000000000 913035997065335980027940761/1000000000000000000000000000 2829284626834904178982173489/1000000000000000000000000000 -31866211322704241964987889/62500000000000000000000000 -166580760678132484922645433/200000000000000000000000000 -135014688540794912850489139/250000000000000000000000000 -120008712647615569006393917/250000000000000000000000000 -206347961331288937779637843/200000000000000000000000000 4820376241596870935193237/40000000000000000000000000
913035997065335980027940761/1000000000000000000000000000 6540684211327454681061873/31250000000000000000000000 81072191447305289035663161/125000000000000000000000000 -4675151251680135724549551/40000000000000000000000000 -11933288005953736131683621/62500000000000000000000000 -30950400874719994248022403/250000000000000000000000000 -27510471685547726245467989/250000000000000000000000000 -118256617005876017141170991/500000000000000000000000000 1381262470692339334373287/50000000000000000000000000
2829284626834904178982173489/1000000000000000000000000000 81072191447305289035663161/125000000000000000000000000 251223725748967492790455367/125000000000000000000000000 -362179957829273700266288439/1000000000000000000000000000 -73956927024471369130541943/125000000000000000000000000 -9590804052224133762013359/25000000000000000000000000 -1332007905272095294421113/3906250000000000000000000 -366449548091898254209793089/500000000000000000000000000 10700521852941569789794513/125000000000000000000000000
-31866211322704241964987889/62500000000000000000000000 -4675151251680135724549551/40000000000000000000000000 -362179957829273700266288439/1000000000000000000000000000 198336962554824025159182021/1000000000000000000000000000 106620967600736417296638971/1000000000000000000000000000 -118961163778121229910501/15625000000000000000000000 7681226216288483050059961/125000000000000000000000000 132074191594510066771484347/1000000000000000000000000000 -7684038445757810148037939/200000000000000000000000000
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4820376241596870935193237/40000000000000000000000000 1381262470692339334373287/50000000000000000000000000 10700521852941569789794513/125000000000000000000000000 -7684038445757810148037939/200000000000000000000000000 -6300182987961608748751317/250000000000000000000000000 -9057455982794906642797469/100000000000000000000000000 -7262080830957371920657561/500000000000000000000000000 -243881313781071234960037/7812500000000000000000000 174074658031205354288636153/500000000000000000000000000


--- 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 :
261310469566756081564683557/1000000000000000000000000000 51083624191720304477/1000000000000000000000000000 190750832834309560425287/12500000000000000000000000 -3814965891681819342300873/250000000000000000000000000 -15259853496895814024703447/1000000000000000000000000000 14785168863897019106934901/1000000000000000000000000000 10415121731526685437/1000000000000000000000000000
51083624191720304477/1000000000000000000000000000 4409544670229417415432789563/1000000000000000000000000000 1408733890653023147458606959/1000000000000000000000000000 -704367945249546441483248387/500000000000000000000000000 176091865380696756427084783/125000000000000000000000000 45987488022443390163/1000000000000000000000000000 899276826845254038909337087/1000000000000000000000000000
190750832834309560425287/12500000000000000000000000 1408733890653023147458606959/1000000000000000000000000000 1342549620728251539313545123/500000000000000000000000000 -33341979985434579064543583/31250000000000000000000000 429798912655661664566873/20000000000000000000000000 -11566360432802863834055199/1000000000000000000000000000 287295364078530497565573307/1000000000000000000000000000
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14785168863897019106934901/1000000000000000000000000000 45987488022443390163/1000000000000000000000000000 -11566360432802863834055199/1000000000000000000000000000 5783510746817474108856367/500000000000000000000000000 1445873412399960606272951/125000000000000000000000000 843456891018024178851399717/1000000000000000000000000000 9957688258637402839/1000000000000000000000000000
10415121731526685437/1000000000000000000000000000 899276826845254038909337087/1000000000000000000000000000 287295364078530497565573307/1000000000000000000000000000 -71823942878067945741825531/250000000000000000000000000 143647787444533218335363231/500000000000000000000000000 9957688258637402839/1000000000000000000000000000 183397350923943462893890881/1000000000000000000000000000


--- 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 :
8269461840567085753629607479/1000000000000000000000000000 55166131766710183987904027/62500000000000000000000000 -901300191211503804383134401/1000000000000000000000000000 -136364345466939382013348907/250000000000000000000000000 -351770000902561453034988703/1000000000000000000000000000 4298629567152359507402413/250000000000000000000000000 -3274107357623532168149813207/1000000000000000000000000000 -350151280398851565774432207/250000000000000000000000000 748079828231151364147738417/1000000000000000000000000000 611591966478461887209595939/500000000000000000000000000 980921952688889388183311071/1000000000000000000000000000 -3632907684309438038936166867/1000000000000000000000000000
55166131766710183987904027/62500000000000000000000000 349428335982075440898474643/250000000000000000000000000 -28511324671659769573545271/125000000000000000000000000 -3625824120016577786880947/25000000000000000000000000 -101623107496739397411804411/500000000000000000000000000 -8735794168185553531729127/15625000000000000000000000 -25435835454559393475090309/50000000000000000000000000 -92580436966937941611756803/500000000000000000000000000 1431914066263284755095573/20000000000000000000000000 1222778634626961586972957/5000000000000000000000000 8261189035441236929338277/125000000000000000000000000 -91939171344010538606523983/500000000000000000000000000
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980921952688889388183311071/1000000000000000000000000000 8261189035441236929338277/125000000000000000000000000 -203852903463860026230226427/1000000000000000000000000000 -144445111094922867939836541/1000000000000000000000000000 -22647175393807457845305577/125000000000000000000000000 -435366942378042237655194871/1000000000000000000000000000 -512554606941130825223862763/1000000000000000000000000000 -193950367354405942140948127/1000000000000000000000000000 119034412122122608373937391/1000000000000000000000000000 204480783805785897045587937/1000000000000000000000000000 136612704656806797684318741/125000000000000000000000000 -67986149234332798815437649/250000000000000000000000000
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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 :
2349950523440309696193357059/500000000000000000000000000 107584894886570223196281403/100000000000000000000000000 177187240590536076019372927/125000000000000000000000000 17457583138768573604456143/31250000000000000000000000
107584894886570223196281403/100000000000000000000000000 2185919997516118394914754643/1000000000000000000000000000 1334381727504921493877527297/1000000000000000000000000000 1340842515066648560868476071/1000000000000000000000000000
177187240590536076019372927/125000000000000000000000000 1334381727504921493877527297/1000000000000000000000000000 2906356613103901906491829231/1000000000000000000000000000 1405002688112099000002213113/1000000000000000000000000000
17457583138768573604456143/31250000000000000000000000 1340842515066648560868476071/1000000000000000000000000000 1405002688112099000002213113/1000000000000000000000000000 2446271197617461413332457503/1000000000000000000000000000


--- 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 :
715018137775500021553903571/1000000000000000000000000000 9167875795284229300090739/200000000000000000000000000 12535325688509854591905037/250000000000000000000000000 16631003399425458060141539/1000000000000000000000000000 -190321314358734911426132587/500000000000000000000000000 46189300189429118313315737/250000000000000000000000000
9167875795284229300090739/200000000000000000000000000 32273161283166532201981471/200000000000000000000000000 -96443787230696680970063/2500000000000000000000000 -47140043999523739564942703/1000000000000000000000000000 -3050345997671502755311941/125000000000000000000000000 1184467206309043836130457/100000000000000000000000000
12535325688509854591905037/250000000000000000000000000 -96443787230696680970063/2500000000000000000000000 24676170734996404498916401/250000000000000000000000000 -5342932787091602031984087/500000000000000000000000000 -13346456754347806459265989/500000000000000000000000000 6478134096168288126936797/500000000000000000000000000
16631003399425458060141539/1000000000000000000000000000 -47140043999523739564942703/1000000000000000000000000000 -5342932787091602031984087/500000000000000000000000000 277125159889294394811653/1562500000000000000000000 -8853577981213985212787449/1000000000000000000000000000 4297370168518921930452339/1000000000000000000000000000
-190321314358734911426132587/500000000000000000000000000 -3050345997671502755311941/125000000000000000000000000 -13346456754347806459265989/500000000000000000000000000 -8853577981213985212787449/1000000000000000000000000000 202636553035858069484577221/1000000000000000000000000000 -786849595616602055175693/8000000000000000000000000
46189300189429118313315737/250000000000000000000000000 1184467206309043836130457/100000000000000000000000000 6478134096168288126936797/500000000000000000000000000 4297370168518921930452339/1000000000000000000000000000 -786849595616602055175693/8000000000000000000000000 47740359899156653753242949/1000000000000000000000000000


--- 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 :
962412464181125944691329023/1000000000000000000000000000 -69357498828381399590348563/125000000000000000000000000 -101888356015576533825379311/500000000000000000000000000 -26485686191193842638558123/1000000000000000000000000000 26485727573743312904001879/1000000000000000000000000000 -26485713275704220661860063/1000000000000000000000000000 16890155573800765044231349/500000000000000000000000000 383727861496696544314991/40000000000000000000000000 -383727861496696544314991/40000000000000000000000000 24411485346305340613/1000000000000000000000000000
-69357498828381399590348563/125000000000000000000000000 962412465634979585625748893/1000000000000000000000000000 -203776715288062620887764491/1000000000000000000000000000 2648571059384432234810707/100000000000000000000000000 -3310720005769288521495111/125000000000000000000000000 1059427211338411255490707/40000000000000000000000000 33780309188397547264364439/1000000000000000000000000000 -4796598798412815857265397/500000000000000000000000000 4796598798412815857265397/500000000000000000000000000 4424322454445628413/125000000000000000000000000
-101888356015576533825379311/500000000000000000000000000 -203776715288062620887764491/1000000000000000000000000000 962411046891934752438788821/1000000000000000000000000000 -13242851806029764968473253/500000000000000000000000000 13242823007841698790274931/500000000000000000000000000 26485642163971884333296439/1000000000000000000000000000 -33780545892924532299884093/1000000000000000000000000000 -2882892246514082121/500000000000000000000000000 2882892246514082121/500000000000000000000000000 2398330414851403167675831/250000000000000000000000000
-26485686191193842638558123/1000000000000000000000000000 2648571059384432234810707/100000000000000000000000000 -13242851806029764968473253/500000000000000000000000000 957142055839941935356901759/1000000000000000000000000000 -306362639674883743562271923/1000000000000000000000000000 -325390401123665138709707101/1000000000000000000000000000 6457759462553610883/500000000000000000000000000 -5932640270001157513289483/200000000000000000000000000 5932640270001157513289483/200000000000000000000000000 -29663088359521627219042927/1000000000000000000000000000
26485727573743312904001879/1000000000000000000000000000 -3310720005769288521495111/125000000000000000000000000 13242823007841698790274931/500000000000000000000000000 -306362639674883743562271923/1000000000000000000000000000 957142056876273082050769399/1000000000000000000000000000 -325390422545911944606060691/1000000000000000000000000000 -1371085775783646597/100000000000000000000000000 5932612234782854246498531/200000000000000000000000000 -5932612234782854246498531/200000000000000000000000000 29663226968191521255374111/1000000000000000000000000000
-26485713275704220661860063/1000000000000000000000000000 1059427211338411255490707/40000000000000000000000000 26485642163971884333296439/1000000000000000000000000000 -325390401123665138709707101/1000000000000000000000000000 -325390422545911944606060691/1000000000000000000000000000 191428369281357349971716107/200000000000000000000000000 -14254751567743623219/1000000000000000000000000000 -14831607890119774343147793/500000000000000000000000000 14831607890119774343147793/500000000000000000000000000 7415810533771808960286827/250000000000000000000000000
16890155573800765044231349/500000000000000000000000000 33780309188397547264364439/1000000000000000000000000000 -33780545892924532299884093/1000000000000000000000000000 6457759462553610883/500000000000000000000000000 -1371085775783646597/100000000000000000000000000 -14254751567743623219/1000000000000000000000000000 508159144485495445796446749/1000000000000000000000000000 -163673524250735041/500000000000000000000000000 163673524250735041/500000000000000000000000000 1988482986721944357/100000000000000000000000000
383727861496696544314991/40000000000000000000000000 -4796598798412815857265397/500000000000000000000000000 -2882892246514082121/500000000000000000000000000 -5932640270001157513289483/200000000000000000000000000 5932612234782854246498531/200000000000000000000000000 -14831607890119774343147793/500000000000000000000000000 -163673524250735041/500000000000000000000000000 238342620449434979326754823/500000000000000000000000000 -238342620449434979326754823/500000000000000000000000000 7208523690105954197/500000000000000000000000000
-383727861496696544314991/40000000000000000000000000 4796598798412815857265397/500000000000000000000000000 2882892246514082121/500000000000000000000000000 5932640270001157513289483/200000000000000000000000000 -5932612234782854246498531/200000000000000000000000000 14831607890119774343147793/500000000000000000000000000 163673524250735041/500000000000000000000000000 -238342620449434979326754823/500000000000000000000000000 238342620449434979326754823/500000000000000000000000000 -7208523690105954197/500000000000000000000000000
24411485346305340613/1000000000000000000000000000 4424322454445628413/125000000000000000000000000 2398330414851403167675831/250000000000000000000000000 -29663088359521627219042927/1000000000000000000000000000 29663226968191521255374111/1000000000000000000000000000 7415810533771808960286827/250000000000000000000000000 1988482986721944357/100000000000000000000000000 7208523690105954197/500000000000000000000000000 -7208523690105954197/500000000000000000000000000 238342610128638288097901909/500000000000000000000000000


--- 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 :
31833854761283976658214961/125000000000000000000000000 103744027469700128212302573/500000000000000000000000000 37263143335504940517077487/500000000000000000000000000 -68014571955518887525029033/500000000000000000000000000 -185937880095632072331276669/250000000000000000000000000 -194793322865898383948945853/250000000000000000000000000
103744027469700128212302573/500000000000000000000000000 169046810641410843618568847/1000000000000000000000000000 60718825930462276587937283/1000000000000000000000000000 -110827068763830860358670487/1000000000000000000000000000 -302978459331279362081851421/500000000000000000000000000 -317408054881425848777892987/500000000000000000000000000
37263143335504940517077487/500000000000000000000000000 60718825930462276587937283/1000000000000000000000000000 126362505897491874137118227/1000000000000000000000000000 -39807255002264684654835443/1000000000000000000000000000 -108824864746364793442184549/500000000000000000000000000 -114007737474768044991432663/500000000000000000000000000
-68014571955518887525029033/500000000000000000000000000 -110827068763830860358670487/1000000000000000000000000000 -39807255002264684654835443/1000000000000000000000000000 72658212977690193057974927/1000000000000000000000000000 198632641567516710007905341/500000000000000000000000000 208092682678038579813087027/500000000000000000000000000
-185937880095632072331276669/250000000000000000000000000 -302978459331279362081851421/500000000000000000000000000 -108824864746364793442184549/500000000000000000000000000 198632641567516710007905341/500000000000000000000000000 543020873747669214629585363/250000000000000000000000000 568882684520489009928508281/250000000000000000000000000
-194793322865898383948945853/250000000000000000000000000 -317408054881425848777892987/500000000000000000000000000 -114007737474768044991432663/500000000000000000000000000 208092682678038579813087027/500000000000000000000000000 568882684520489009928508281/250000000000000000000000000 595976185065809026408868487/250000000000000000000000000


--- 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 :
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
0/1 0/1 0/1 1109199140128359981515546593/1000000000000000000000000000 -538098694555230617346173691/1000000000000000000000000000 -142775497729556920206639291/500000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -538098694555230617346173691/1000000000000000000000000000 1109199145022871052510619037/1000000000000000000000000000 -142775527770079719647161233/500000000000000000000000000 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -142775497729556920206639291/500000000000000000000000000 -142775527770079719647161233/500000000000000000000000000 4332806814188697975129483/3906250000000000000000000 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 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

