#Density : 674079674197594604905277477/3000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 4, 7, 8, 9, 10, 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 :
403319779112856629265853/15625000000000000000000000 4028553606305064135670839/62500000000000000000000000 -224439131835309218014161/6250000000000000000000000 -486297058673833402473907/15625000000000000000000000 1481826733420605830678927/62500000000000000000000000 -203319338341583029199413/12500000000000000000000000
4028553606305064135670839/62500000000000000000000000 40239147692115251086325157/250000000000000000000000000 -2241806925363087400329843/25000000000000000000000000 -4857370927270666815766041/62500000000000000000000000 14801204255272639391696301/250000000000000000000000000 -2030852182625907563977119/50000000000000000000000000
-224439131835309218014161/6250000000000000000000000 -2241806925363087400329843/25000000000000000000000000 124895744041583438015157/2500000000000000000000000 270614275111657695748959/6250000000000000000000000 -824605989596683547718699/25000000000000000000000000 113143014912604755907881/5000000000000000000000000
-486297058673833402473907/15625000000000000000000000 -4857370927270666815766041/62500000000000000000000000 270614275111657695748959/6250000000000000000000000 586345727439885273965533/15625000000000000000000000 -1786691402816263252078913/62500000000000000000000000 245149385989708812015547/12500000000000000000000000
1481826733420605830678927/62500000000000000000000000 14801204255272639391696301/250000000000000000000000000 -824605989596683547718699/25000000000000000000000000 -1786691402816263252078913/62500000000000000000000000 5444341144661673601999093/250000000000000000000000000 -747010304425565631430967/50000000000000000000000000
-203319338341583029199413/12500000000000000000000000 -2030852182625907563977119/50000000000000000000000000 113143014912604755907881/5000000000000000000000000 245149385989708812015547/12500000000000000000000000 -747010304425565631430967/50000000000000000000000000 102496221322415573384173/10000000000000000000000000


--- 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 :
102496221322415573384173/10000000000000000000000000 245149385989708812015547/12500000000000000000000000 -747010304425565631430967/50000000000000000000000000 -2030852182625907563977119/50000000000000000000000000 113143014912604755907881/5000000000000000000000000 -203319338341583029199413/12500000000000000000000000
245149385989708812015547/12500000000000000000000000 586345727439885273965533/15625000000000000000000000 -1786691402816263252078913/62500000000000000000000000 -4857370927270666815766041/62500000000000000000000000 270614275111657695748959/6250000000000000000000000 -486297058673833402473907/15625000000000000000000000
-747010304425565631430967/50000000000000000000000000 -1786691402816263252078913/62500000000000000000000000 5444341144661673601999093/250000000000000000000000000 14801204255272639391696301/250000000000000000000000000 -824605989596683547718699/25000000000000000000000000 1481826733420605830678927/62500000000000000000000000
-2030852182625907563977119/50000000000000000000000000 -4857370927270666815766041/62500000000000000000000000 14801204255272639391696301/250000000000000000000000000 40239147692115251086325157/250000000000000000000000000 -2241806925363087400329843/25000000000000000000000000 4028553606305064135670839/62500000000000000000000000
113143014912604755907881/5000000000000000000000000 270614275111657695748959/6250000000000000000000000 -824605989596683547718699/25000000000000000000000000 -2241806925363087400329843/25000000000000000000000000 124895744041583438015157/2500000000000000000000000 -224439131835309218014161/6250000000000000000000000
-203319338341583029199413/12500000000000000000000000 -486297058673833402473907/15625000000000000000000000 1481826733420605830678927/62500000000000000000000000 4028553606305064135670839/62500000000000000000000000 -224439131835309218014161/6250000000000000000000000 403319779112856629265853/15625000000000000000000000


--- 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 :
18782950513471005883663947/31250000000000000000000000 21546339583529572059790209/40000000000000000000000000 1027285843739227552815461/250000000000000000000000000 -118523875120707820694836847/250000000000000000000000000 -11713966487300098755287679/100000000000000000000000000 896024929030662644261635983/1000000000000000000000000000 109242091939199436977126419/250000000000000000000000000 -301305260718825094963541997/200000000000000000000000000 -13982312296238860946537089/250000000000000000000000000 -54364004140064555694430627/200000000000000000000000000 198958803237279220615567387/500000000000000000000000000 -1287682919765538003751752641/1000000000000000000000000000
21546339583529572059790209/40000000000000000000000000 1579076925556473956330262847/1000000000000000000000000000 308681121887135234071588951/1000000000000000000000000000 -1971175549388112586659330609/1000000000000000000000000000 -30657575469597672757106233/100000000000000000000000000 3142003424823741526101423/1000000000000000000000000 -144963598268903914886045363/200000000000000000000000000 -1687296133961677538768958899/500000000000000000000000000 505315662476769204354773597/500000000000000000000000000 106101908848157566723616099/125000000000000000000000000 -42589197219599212504431817/50000000000000000000000000 85579536107583752817683333/100000000000000000000000000
1027285843739227552815461/250000000000000000000000000 308681121887135234071588951/1000000000000000000000000000 10052292386287479761830501/7812500000000000000000000 -102570240856650096344993739/62500000000000000000000000 6957832446287244598927643/100000000000000000000000000 2658568228525787713263397009/1000000000000000000000000000 -1830531819733131057109847/5000000000000000000000000 -705214298150014713640776031/200000000000000000000000000 1846510513547364538506831/31250000000000000000000000 -963236347298698918941175629/1000000000000000000000000000 42169607140281873070794551/500000000000000000000000000 162896966725232785472923409/200000000000000000000000000
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109242091939199436977126419/250000000000000000000000000 -144963598268903914886045363/200000000000000000000000000 -1830531819733131057109847/5000000000000000000000000 378459859636602626743956623/500000000000000000000000000 42165984257846065712023903/62500000000000000000000000 -266584254908318317270661049/200000000000000000000000000 861761650331630110554500447/500000000000000000000000000 42325075690610917897390131/200000000000000000000000000 -191308011248930327298306969/250000000000000000000000000 -740189716460892638914790609/1000000000000000000000000000 696019994731982845538515377/500000000000000000000000000 -3305380376699283481877107579/1000000000000000000000000000
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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 :
1700066064739522862358364841/1000000000000000000000000000 1567790935218369501275927651/1000000000000000000000000000 8752078366398829414056039/3906250000000000000000000 -103596498945462809519525293/250000000000000000000000000
1567790935218369501275927651/1000000000000000000000000000 1447091417366934149167296311/1000000000000000000000000000 1036626159029153346242241087/500000000000000000000000000 -164536724267295673466001971/500000000000000000000000000
8752078366398829414056039/3906250000000000000000000 1036626159029153346242241087/500000000000000000000000000 1495748132393596413189139683/500000000000000000000000000 -127410987969099525772083489/500000000000000000000000000
-103596498945462809519525293/250000000000000000000000000 -164536724267295673466001971/500000000000000000000000000 -127410987969099525772083489/500000000000000000000000000 1147423583987919556846877587/500000000000000000000000000


--- 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 :
1075339267592294889873167/488281250000000000000000 172043602746693794721142143/125000000000000000000000000 -45081364847984361522812949/31250000000000000000000000 12055140740584415780218173/7812500000000000000000000 -5977370792012616781745013/3906250000000000000000000 97099797070927878729913693/125000000000000000000000000 69034517361475443845931/62500000000000000000000000 98052247359410563246182207/250000000000000000000000000 -59557095773981425183132581/31250000000000000000000000 -7002482734894628272584203/6250000000000000000000000
172043602746693794721142143/125000000000000000000000000 145184755245395552739627389/125000000000000000000000000 -45917454023938820385042813/25000000000000000000000000 60350223155241264408620853/125000000000000000000000000 -6088228460956762088892381/3125000000000000000000000 98900631841395283962017541/100000000000000000000000000 296135938821417205931063869/500000000000000000000000000 99870746488078309861200759/200000000000000000000000000 -59042068352599488637814409/62500000000000000000000000 69034517361475443845931/62500000000000000000000000
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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 :
8155451956583511683709068727/1000000000000000000000000000 1239677874468789843032217159/500000000000000000000000000 1228966465359917718292455171/250000000000000000000000000 231294249561008775211118433/100000000000000000000000000 1589036381447266364645502597/1000000000000000000000000000 -451815087874348477852750641/500000000000000000000000000
1239677874468789843032217159/500000000000000000000000000 911978890860008163460318023/500000000000000000000000000 198729150354805939938813519/250000000000000000000000000 -1695707789631277275214569/12500000000000000000000000 -451815087874348477852750641/500000000000000000000000000 -784578097926061571951026521/500000000000000000000000000
1228966465359917718292455171/250000000000000000000000000 198729150354805939938813519/250000000000000000000000000 619984762908330079940235111/125000000000000000000000000 0/1 1228966465359917718292455171/250000000000000000000000000 198729150354805939938813519/250000000000000000000000000
231294249561008775211118433/100000000000000000000000000 -1695707789631277275214569/12500000000000000000000000 0/1 188223685020602242962033933/50000000000000000000000000 -231294249561008775211118433/100000000000000000000000000 1695707789631277275214569/12500000000000000000000000
1589036381447266364645502597/1000000000000000000000000000 -451815087874348477852750641/500000000000000000000000000 1228966465359917718292455171/250000000000000000000000000 -231294249561008775211118433/100000000000000000000000000 8155451956583511683709068727/1000000000000000000000000000 1239677874468789843032217159/500000000000000000000000000
-451815087874348477852750641/500000000000000000000000000 -784578097926061571951026521/500000000000000000000000000 198729150354805939938813519/250000000000000000000000000 1695707789631277275214569/12500000000000000000000000 1239677874468789843032217159/500000000000000000000000000 911978890860008163460318023/500000000000000000000000000


--- 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 :
17278217415011942540214391/500000000000000000000000000 -11638953800512848102797473/100000000000000000000000000 70275126622575323884590093/250000000000000000000000000 30169849269995990910149511/250000000000000000000000000 91158467543340066220841331/500000000000000000000000000 70275126622575323884590093/250000000000000000000000000 -13265391990741720948053681/125000000000000000000000000 -11638953800512848102797473/100000000000000000000000000 17278217415011942540214391/500000000000000000000000000
-11638953800512848102797473/100000000000000000000000000 368698457891765435814139567/500000000000000000000000000 -300886262642660388126845799/250000000000000000000000000 -22570951595623788469998609/50000000000000000000000000 -103720769740915553501504793/500000000000000000000000000 -300886262642660388126845799/250000000000000000000000000 33402187997708943542867539/125000000000000000000000000 368698457891765435814139567/500000000000000000000000000 -11638953800512848102797473/100000000000000000000000000
70275126622575323884590093/250000000000000000000000000 -300886262642660388126845799/250000000000000000000000000 309689117702408915357009887/125000000000000000000000000 126886804806649106363508413/125000000000000000000000000 295192263281700567922930849/250000000000000000000000000 309689117702408915357009887/125000000000000000000000000 -49762060502464629177470251/62500000000000000000000000 -300886262642660388126845799/250000000000000000000000000 70275126622575323884590093/250000000000000000000000000
30169849269995990910149511/250000000000000000000000000 -22570951595623788469998609/50000000000000000000000000 126886804806649106363508413/125000000000000000000000000 53411724907797822411406231/125000000000000000000000000 145941253791609194835647171/250000000000000000000000000 126886804806649106363508413/125000000000000000000000000 -22429011541635701812348961/62500000000000000000000000 -22570951595623788469998609/50000000000000000000000000 30169849269995990910149511/250000000000000000000000000
91158467543340066220841331/500000000000000000000000000 -103720769740915553501504793/500000000000000000000000000 295192263281700567922930849/250000000000000000000000000 145941253791609194835647171/250000000000000000000000000 720300495359890667041113823/500000000000000000000000000 295192263281700567922930849/250000000000000000000000000 -83263456755570941699319637/125000000000000000000000000 -103720769740915553501504793/500000000000000000000000000 91158467543340066220841331/500000000000000000000000000
70275126622575323884590093/250000000000000000000000000 -300886262642660388126845799/250000000000000000000000000 309689117702408915357009887/125000000000000000000000000 126886804806649106363508413/125000000000000000000000000 295192263281700567922930849/250000000000000000000000000 309689117702408915357009887/125000000000000000000000000 -49762060502464629177470251/62500000000000000000000000 -300886262642660388126845799/250000000000000000000000000 70275126622575323884590093/250000000000000000000000000
-13265391990741720948053681/125000000000000000000000000 33402187997708943542867539/125000000000000000000000000 -49762060502464629177470251/62500000000000000000000000 -22429011541635701812348961/62500000000000000000000000 -83263456755570941699319637/125000000000000000000000000 -49762060502464629177470251/62500000000000000000000000 10920932811403155484093799/31250000000000000000000000 33402187997708943542867539/125000000000000000000000000 -13265391990741720948053681/125000000000000000000000000
-11638953800512848102797473/100000000000000000000000000 368698457891765435814139567/500000000000000000000000000 -300886262642660388126845799/250000000000000000000000000 -22570951595623788469998609/50000000000000000000000000 -103720769740915553501504793/500000000000000000000000000 -300886262642660388126845799/250000000000000000000000000 33402187997708943542867539/125000000000000000000000000 368698457891765435814139567/500000000000000000000000000 -11638953800512848102797473/100000000000000000000000000
17278217415011942540214391/500000000000000000000000000 -11638953800512848102797473/100000000000000000000000000 70275126622575323884590093/250000000000000000000000000 30169849269995990910149511/250000000000000000000000000 91158467543340066220841331/500000000000000000000000000 70275126622575323884590093/250000000000000000000000000 -13265391990741720948053681/125000000000000000000000000 -11638953800512848102797473/100000000000000000000000000 17278217415011942540214391/500000000000000000000000000


--- 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 :
2504909607588053474972961/4000000000000000000000000 -996338094849741/20000000000000000000000000 -419911561181721364535871/20000000000000000000000000 419911561181721364535871/20000000000000000000000000 52488945028918099927911/2500000000000000000000000 68706665815332447859677/20000000000000000000000000 7802374096975059/20000000000000000000000000
-996338094849741/20000000000000000000000000 942270713713535258157/50000000000000000000000000 11517670591638718912587/100000000000000000000000000 -11517670591638718912587/100000000000000000000000000 11517670233484673874231/100000000000000000000000000 -6812079338379/12500000000000000000000000 10735416541245422886489/3125000000000000000000000
-419911561181721364535871/20000000000000000000000000 11517670591638718912587/100000000000000000000000000 140784097489948425544353/100000000000000000000000000 -140784097489948425544353/100000000000000000000000000 0/1 -11517670591638718912587/100000000000000000000000000 419911561181721364535871/20000000000000000000000000
419911561181721364535871/20000000000000000000000000 -11517670591638718912587/100000000000000000000000000 -140784097489948425544353/100000000000000000000000000 140784097489948425544353/100000000000000000000000000 0/1 11517670591638718912587/100000000000000000000000000 -419911561181721364535871/20000000000000000000000000
52488945028918099927911/2500000000000000000000000 11517670233484673874231/100000000000000000000000000 0/1 0/1 140784096876599235987921/100000000000000000000000000 11517670233484673874231/100000000000000000000000000 2099557804129327472381073/100000000000000000000000000
68706665815332447859677/20000000000000000000000000 -6812079338379/12500000000000000000000000 -11517670591638718912587/100000000000000000000000000 11517670591638718912587/100000000000000000000000000 11517670233484673874231/100000000000000000000000000 942270713713535258157/50000000000000000000000000 -2369249590589721/50000000000000000000000000
7802374096975059/20000000000000000000000000 10735416541245422886489/3125000000000000000000000 419911561181721364535871/20000000000000000000000000 -419911561181721364535871/20000000000000000000000000 2099557804129327472381073/100000000000000000000000000 -2369249590589721/50000000000000000000000000 31311370139182045056540837/50000000000000000000000000


--- Term 14 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 12

Flags :
F1  : {1, 2, 3}
F2  : {1, 2, 3, 4}
F3  : {1, 2, 3, 5}
F4  : {1, 2, 3, 4, 5}
F5  : {1, 2, 3, 6}
F6  : {1, 2, 3, 4, 6}
F7  : {1, 2, 3, 5, 6}
F8  : {1, 2, 3, 4, 5, 6}
F9  : {1, 2, 3, 7}
F10 : {1, 2, 3, 4, 7}
F11 : {1, 2, 3, 5, 7}
F12 : {1, 2, 3, 4, 5, 7}
F13 : {1, 2, 3, 6, 7}
F14 : {1, 2, 3, 4, 6, 7}
F15 : {1, 2, 3, 5, 6, 7}
F16 : {1, 2, 3, 4, 5, 6, 7}

Basis :
B1  : (F1)
B2  : (F2)
B3  : (F3)+(F5)
B4  : (F4)+(F6)
B5  : (F7)
B6  : (F8)
B7  : (F9)
B8  : (F10)
B9  : (F11)+(F13)
B10 : (F12)+(F14)
B11 : (F15)
B12 : (F16)

Matrix :
6861650911972317906371208339/1000000000000000000000000000 446421464825918159359010979/200000000000000000000000000 1715259216833002135071537959/1000000000000000000000000000 -1465419461733891907190303041/1000000000000000000000000000 -17397708771521681111849403/200000000000000000000000000 85579536107583752817683333/100000000000000000000000000 -1425412084489154120096693357/500000000000000000000000000 -371705148151273258405519909/500000000000000000000000000 806018370216383996556637573/500000000000000000000000000 162896966725232785472923409/200000000000000000000000000 -3305380376699283481877107579/1000000000000000000000000000 -1287682919765538003751752641/1000000000000000000000000000
446421464825918159359010979/200000000000000000000000000 10580616827053069322966106751/1000000000000000000000000000 763298970145440239163548191/1000000000000000000000000000 -7006461165175398059882911991/1000000000000000000000000000 -13153772065353884643159895697/1000000000000000000000000000 3142003424823741526101423/1000000000000000000000000 -93051987353592210436885523/62500000000000000000000000 162188109941266327803006537/250000000000000000000000000 303417421945876930903244151/125000000000000000000000000 2658568228525787713263397009/1000000000000000000000000000 -266584254908318317270661049/200000000000000000000000000 896024929030662644261635983/1000000000000000000000000000
1715259216833002135071537959/1000000000000000000000000000 763298970145440239163548191/1000000000000000000000000000 3514278027992883844587968151/1000000000000000000000000000 -1070626478822805672038039723/1000000000000000000000000000 56703183007287825862020053/1000000000000000000000000000 106101908848157566723616099/125000000000000000000000000 -1014543649246233685338201253/500000000000000000000000000 394904738853228826805861221/500000000000000000000000000 198761827657095160788736311/100000000000000000000000000 -963236347298698918941175629/1000000000000000000000000000 -740189716460892638914790609/1000000000000000000000000000 -54364004140064555694430627/200000000000000000000000000
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-1287682919765538003751752641/1000000000000000000000000000 896024929030662644261635983/1000000000000000000000000000 -54364004140064555694430627/200000000000000000000000000 -118523875120707820694836847/250000000000000000000000000 -301305260718825094963541997/200000000000000000000000000 21546339583529572059790209/40000000000000000000000000 198958803237279220615567387/500000000000000000000000000 -11713966487300098755287679/100000000000000000000000000 -13982312296238860946537089/250000000000000000000000000 1027285843739227552815461/250000000000000000000000000 109242091939199436977126419/250000000000000000000000000 18782950513471005883663947/31250000000000000000000000


--- 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 :
1147423583987919556846877587/500000000000000000000000000 -164536724267295673466001971/500000000000000000000000000 -127410987969099525772083489/500000000000000000000000000 -103596498945462809519525293/250000000000000000000000000
-164536724267295673466001971/500000000000000000000000000 1447091417366934149167296311/1000000000000000000000000000 1036626159029153346242241087/500000000000000000000000000 1567790935218369501275927651/1000000000000000000000000000
-127410987969099525772083489/500000000000000000000000000 1036626159029153346242241087/500000000000000000000000000 1495748132393596413189139683/500000000000000000000000000 8752078366398829414056039/3906250000000000000000000
-103596498945462809519525293/250000000000000000000000000 1567790935218369501275927651/1000000000000000000000000000 8752078366398829414056039/3906250000000000000000000 1700066064739522862358364841/1000000000000000000000000000


--- 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 :
984719250245535067242539771/1000000000000000000000000000 -8859231666989736488843983/12500000000000000000000000 32691676192253468989829/312500000000000000000000 -1186314169385060036503284091/1000000000000000000000000000 253462512929860059477617531/500000000000000000000000000 114882206168167935260969051/250000000000000000000000000
-8859231666989736488843983/12500000000000000000000000 79703921406861536971859/156250000000000000000000 -294117468402461136817/3906250000000000000000 10672922311404162502123343/12500000000000000000000000 -2280328246231716526512463/6250000000000000000000000 -1033561676188315978357423/3125000000000000000000000
32691676192253468989829/312500000000000000000000 -294117468402461136817/3906250000000000000000 1085330353796440571/97656250000000000000 -39384422187489743477509/312500000000000000000000 8414697283019236088069/156250000000000000000000 3813972239666266688549/78125000000000000000000
-1186314169385060036503284091/1000000000000000000000000000 10672922311404162502123343/12500000000000000000000000 -39384422187489743477509/312500000000000000000000 1429180254303803897146402811/1000000000000000000000000000 -305352180757776704366701051/500000000000000000000000000 -138401264069460408327050971/250000000000000000000000000
253462512929860059477617531/500000000000000000000000000 -2280328246231716526512463/6250000000000000000000000 8414697283019236088069/156250000000000000000000 -305352180757776704366701051/500000000000000000000000000 65240164081996700843600891/250000000000000000000000000 29570187298612875134523611/125000000000000000000000000
114882206168167935260969051/250000000000000000000000000 -1033561676188315978357423/3125000000000000000000000 3813972239666266688549/78125000000000000000000 -138401264069460408327050971/250000000000000000000000000 29570187298612875134523611/125000000000000000000000000 13402724980520695428108731/62500000000000000000000000


--- 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 :
253347814672471962674973/250000000000000000000000000 253347814672471962674973/250000000000000000000000000 -253347814672471962674973/250000000000000000000000000 0/1 0/1 0/1 -2974575549335653346471577/250000000000000000000000000 -311089324210152349082571/250000000000000000000000000 -311089324210152349082571/250000000000000000000000000 311089324210152349082571/250000000000000000000000000
253347814672471962674973/250000000000000000000000000 253347814672471962674973/250000000000000000000000000 -253347814672471962674973/250000000000000000000000000 0/1 0/1 0/1 -2974575549335653346471577/250000000000000000000000000 -311089324210152349082571/250000000000000000000000000 -311089324210152349082571/250000000000000000000000000 311089324210152349082571/250000000000000000000000000
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311089324210152349082571/250000000000000000000000000 311089324210152349082571/250000000000000000000000000 -311089324210152349082571/250000000000000000000000000 0/1 0/1 0/1 -3652522910652198630879279/250000000000000000000000000 -381990931173580559333517/250000000000000000000000000 -381990931173580559333517/250000000000000000000000000 381990931173580559333517/250000000000000000000000000


--- 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 :
13402724980520695428108731/62500000000000000000000000 29570187298612875134523611/125000000000000000000000000 3813972239666266688549/78125000000000000000000 -138401264069460408327050971/250000000000000000000000000 -1033561676188315978357423/3125000000000000000000000 114882206168167935260969051/250000000000000000000000000
29570187298612875134523611/125000000000000000000000000 65240164081996700843600891/250000000000000000000000000 8414697283019236088069/156250000000000000000000 -305352180757776704366701051/500000000000000000000000000 -2280328246231716526512463/6250000000000000000000000 253462512929860059477617531/500000000000000000000000000
3813972239666266688549/78125000000000000000000 8414697283019236088069/156250000000000000000000 1085330353796440571/97656250000000000000 -39384422187489743477509/312500000000000000000000 -294117468402461136817/3906250000000000000000 32691676192253468989829/312500000000000000000000
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114882206168167935260969051/250000000000000000000000000 253462512929860059477617531/500000000000000000000000000 32691676192253468989829/312500000000000000000000 -1186314169385060036503284091/1000000000000000000000000000 -8859231666989736488843983/12500000000000000000000000 984719250245535067242539771/1000000000000000000000000000


--- 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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381990931173580559333517/250000000000000000000000000 381990931173580559333517/250000000000000000000000000 -381990931173580559333517/250000000000000000000000000 0/1 0/1 0/1 -3652522910652198630879279/250000000000000000000000000 -311089324210152349082571/250000000000000000000000000 -311089324210152349082571/250000000000000000000000000 311089324210152349082571/250000000000000000000000000
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