#Density : 5459980915927324657144355331/32000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 8, 9, 10, 12, 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 :
65383893540333276334587/500000000000000000000000 -82857498834499239522063/400000000000000000000000 2166928796967708070143/16000000000000000000000 43150458209365916409651/1000000000000000000000000 -143258769896553054897321/1000000000000000000000000 28917346009502575220673/500000000000000000000000
-82857498834499239522063/400000000000000000000000 105000860936401930488787/320000000000000000000000 -2746032555532016776707/12800000000000000000000 -54682259608555276285799/800000000000000000000000 181544149744052319674629/800000000000000000000000 -36645400473147745439677/400000000000000000000000
2166928796967708070143/16000000000000000000000 -2746032555532016776707/12800000000000000000000 71815552070654251827/512000000000000000000 1430076513240175527639/32000000000000000000000 -4747829122710716509269/32000000000000000000000 958367977294228409997/16000000000000000000000
43150458209365916409651/1000000000000000000000000 -54682259608555276285799/800000000000000000000000 1430076513240175527639/32000000000000000000000 28477380939843362714923/2000000000000000000000000 -94544408857100178882833/2000000000000000000000000 19084160684604816228329/1000000000000000000000000
-143258769896553054897321/1000000000000000000000000 181544149744052319674629/800000000000000000000000 -4747829122710716509269/32000000000000000000000 -94544408857100178882833/2000000000000000000000000 313885791148449937865443/2000000000000000000000000 -63359081169414556257259/1000000000000000000000000
28917346009502575220673/500000000000000000000000 -36645400473147745439677/400000000000000000000000 958367977294228409997/16000000000000000000000 19084160684604816228329/1000000000000000000000000 -63359081169414556257259/1000000000000000000000000 12789279667437684178867/500000000000000000000000


--- 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 :
23328553443645839099096709/200000000000000000000000000 172224959125316057673783/200000000000000000000000000 23756746187060841400853283/200000000000000000000000000 -14184508588614825416479401/40000000000000000000000000 9168498334309293399443877/100000000000000000000000000 874118434624549557247917/8000000000000000000000000
172224959125316057673783/200000000000000000000000000 1271464886040582137821/200000000000000000000000000 175386127172471261304321/200000000000000000000000000 -104718298019986309326787/40000000000000000000000000 67687190921691791272599/100000000000000000000000000 6453251035798934180079/8000000000000000000000000
23756746187060841400853283/200000000000000000000000000 175386127172471261304321/200000000000000000000000000 24192798355877259067720821/200000000000000000000000000 -14444863507801080465952287/40000000000000000000000000 9336784999157477366436099/100000000000000000000000000 890162771513918988363579/8000000000000000000000000
-14184508588614825416479401/40000000000000000000000000 -104718298019986309326787/40000000000000000000000000 -14444863507801080465952287/40000000000000000000000000 8624636087553472886111389/8000000000000000000000000 -5574741000631296938746953/20000000000000000000000000 -531492039287830592694513/1600000000000000000000000
9168498334309293399443877/100000000000000000000000000 67687190921691791272599/100000000000000000000000000 9336784999157477366436099/100000000000000000000000000 -5574741000631296938746953/20000000000000000000000000 3603367946036476912605381/50000000000000000000000000 343542664623603353367501/4000000000000000000000000
874118434624549557247917/8000000000000000000000000 6453251035798934180079/8000000000000000000000000 890162771513918988363579/8000000000000000000000000 -531492039287830592694513/1600000000000000000000000 343542664623603353367501/4000000000000000000000000 32753125460446907712021/320000000000000000000000


--- 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 :
1628742422216118082921636083/1000000000000000000000000000 -264253066785919010834728353/1000000000000000000000000000 92607627634091448332675421/500000000000000000000000000 -1027377217608238948757460411/1000000000000000000000000000 -45362252233684704757564821/125000000000000000000000000 134816210472562127696482299/500000000000000000000000000 -144435078929007114941895801/500000000000000000000000000 -525248173451023485511676601/250000000000000000000000000 386714296776851734161074397/500000000000000000000000000 1334887156339723640468361/8000000000000000000000000 -466411680864972517371806397/1000000000000000000000000000 427523024494746330789208587/1000000000000000000000000000
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92607627634091448332675421/500000000000000000000000000 74992272490390241075541/200000000000000000000000000 6991183710556668047382899/40000000000000000000000000 -464775696633559926918231763/500000000000000000000000000 -8038864820664425565696471/125000000000000000000000000 -35343033058424725403797443/1000000000000000000000000000 -19111976416732811793566987/250000000000000000000000000 -10333413890979982508387557/50000000000000000000000000 347774425290919562179389407/500000000000000000000000000 -290738073898056094366007/15625000000000000000000000 -8164982626871899735465337/100000000000000000000000000 1403143755083303769813469/250000000000000000000000000
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427523024494746330789208587/1000000000000000000000000000 -347027305441086609771093971/1000000000000000000000000000 1403143755083303769813469/250000000000000000000000000 -42306152730909284112440129/1000000000000000000000000000 31306433719890861116052413/100000000000000000000000000 6070905942413529045557627/250000000000000000000000000 -221464243989022469366426051/500000000000000000000000000 -70183537699879069279145183/62500000000000000000000000 6606707843080284680300221/200000000000000000000000000 -46623519393280897711990379/1000000000000000000000000000 192275326559322287349585357/500000000000000000000000000 81224034114892809380856651/100000000000000000000000000


--- Term 9 ---

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

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

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

Matrix :
174332760787966210931322191/1000000000000000000000000000 -5205267615313883994151897/500000000000000000000000000 5884462294664776354910451/50000000000000000000000000 1595844822327613144873039/62500000000000000000000000
-5205267615313883994151897/500000000000000000000000000 5638297691907163279563114127/1000000000000000000000000000 -2455739960463055652730291661/500000000000000000000000000 708853132342753870816153569/1000000000000000000000000000
5884462294664776354910451/50000000000000000000000000 -2455739960463055652730291661/500000000000000000000000000 2173019766562491984216624951/500000000000000000000000000 -300375202324852620324542373/500000000000000000000000000
1595844822327613144873039/62500000000000000000000000 708853132342753870816153569/1000000000000000000000000000 -300375202324852620324542373/500000000000000000000000000 2760359536710550307678943203/1000000000000000000000000000


--- Term 10 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 10

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

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

Matrix :
589854697794076114174711597/250000000000000000000000000 68752529835248615513770301/50000000000000000000000000 -716411562360750317765522971/500000000000000000000000000 26607529750858875605625341/50000000000000000000000000 86013129442997051452388209/250000000000000000000000000 -30530133609682538834495387/500000000000000000000000000 -342840553051230742840860957/250000000000000000000000000 -208287951572312817790344949/1000000000000000000000000000 -343275016141008081233280313/500000000000000000000000000 -1591586625416025675584282631/1000000000000000000000000000
68752529835248615513770301/50000000000000000000000000 1545319636634737467566469167/1000000000000000000000000000 -921699085488547206281623713/500000000000000000000000000 657230638253077224825473419/1000000000000000000000000000 135969382977924206815671947/200000000000000000000000000 65834407991772886868434669/1000000000000000000000000000 -880641207049579093895914617/500000000000000000000000000 42813159328664987914733939/500000000000000000000000000 -541517677738012393755363531/1000000000000000000000000000 -948528242362656316449734431/500000000000000000000000000
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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 :
1632013859346530459317/500000000000000000000000000 58319685415041759732349/40000000000000000000000000 -773393103773576491184637/500000000000000000000000000 1162225747852040530869317/1000000000000000000000000000 -141523214137070315626401/500000000000000000000000000 -1216269151752141530185139/500000000000000000000000000
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-773393103773576491184637/500000000000000000000000000 -345462904379800858856792301/500000000000000000000000000 1408937724831701404777652669/500000000000000000000000000 -652449562528763047927687/976562500000000000000000 50340650321510608219202383/250000000000000000000000000 82461808173771112448153093/62500000000000000000000000
1162225747852040530869317/1000000000000000000000000000 259574370303055039677838523/500000000000000000000000000 -652449562528763047927687/976562500000000000000000 920190573044805835138486263/1000000000000000000000000000 -122743335073616305604167747/1000000000000000000000000000 -162566235737845069168232967/200000000000000000000000000
-141523214137070315626401/500000000000000000000000000 -126432553173196150890419651/1000000000000000000000000000 50340650321510608219202383/250000000000000000000000000 -122743335073616305604167747/1000000000000000000000000000 33582237000947273540294433/250000000000000000000000000 116643445004237778998786137/500000000000000000000000000
-1216269151752141530185139/500000000000000000000000000 -1086578358875189035024847621/1000000000000000000000000000 82461808173771112448153093/62500000000000000000000000 -162566235737845069168232967/200000000000000000000000000 116643445004237778998786137/500000000000000000000000000 2146880016460129315155918909/1000000000000000000000000000


--- 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 :
60400482026752690133401/78125000000000000000000 59600497802500105035553/195312500000000000000000 154438871955588724506193623/250000000000000000000000000 764810297958075952229097/250000000000000000000000000 -110304373599140977097761699/125000000000000000000000000 -17794786757204046376157171/50000000000000000000000000 39462971137392433487524939/125000000000000000000000000 -792353283132111614853489/1250000000000000000000000 -106621618664007605288009961/500000000000000000000000000
59600497802500105035553/195312500000000000000000 60222575720737520249543537/500000000000000000000000000 121914704515539832717806071/500000000000000000000000000 603744516122860485210841/500000000000000000000000000 -87074743190160606711278793/250000000000000000000000000 -70236402993436177507735807/500000000000000000000000000 15576118902577797947838693/125000000000000000000000000 -125097412538402815734336221/500000000000000000000000000 -8416756073852135643237679/100000000000000000000000000
154438871955588724506193623/250000000000000000000000000 121914704515539832717806071/500000000000000000000000000 98721750102716232717036643/200000000000000000000000000 488888646042227756026253/200000000000000000000000000 -176274286839236818396631591/250000000000000000000000000 -284373433440452616292608689/1000000000000000000000000000 25225861375474640067629321/100000000000000000000000000 -253247455837831971132715291/500000000000000000000000000 -170388980751978808438940963/1000000000000000000000000000
764810297958075952229097/250000000000000000000000000 603744516122860485210841/500000000000000000000000000 488888646042227756026253/200000000000000000000000000 44295301914007822609566239/1000000000000000000000000000 -872943376212626036138359/250000000000000000000000000 -3773551667846963897983067/200000000000000000000000000 624616008571463416407011/500000000000000000000000000 -10033031650695816826273/4000000000000000000000000 -1590308982007505347086599/200000000000000000000000000
-110304373599140977097761699/125000000000000000000000000 -87074743190160606711278793/250000000000000000000000000 -176274286839236818396631591/250000000000000000000000000 -872943376212626036138359/250000000000000000000000000 125899811007611404318540391/125000000000000000000000000 101553556607715961082482611/250000000000000000000000000 -22521231234457703972605819/62500000000000000000000000 180876107342982355034437223/250000000000000000000000000 60848183973180778984538753/250000000000000000000000000
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39462971137392433487524939/125000000000000000000000000 15576118902577797947838693/125000000000000000000000000 25225861375474640067629321/100000000000000000000000000 624616008571463416407011/500000000000000000000000000 -22521231234457703972605819/62500000000000000000000000 -72664481789923273487204823/500000000000000000000000000 32229173483683759813660909/250000000000000000000000000 -32355510351112662170806201/125000000000000000000000000 -43538620426914693141208381/500000000000000000000000000
-792353283132111614853489/1250000000000000000000000 -125097412538402815734336221/500000000000000000000000000 -253247455837831971132715291/500000000000000000000000000 -10033031650695816826273/4000000000000000000000000 180876107342982355034437223/250000000000000000000000000 145898646386199481413292111/500000000000000000000000000 -32355510351112662170806201/125000000000000000000000000 259858739625686852583421633/500000000000000000000000000 21854644897793610713036647/125000000000000000000000000
-106621618664007605288009961/500000000000000000000000000 -8416756073852135643237679/100000000000000000000000000 -170388980751978808438940963/1000000000000000000000000000 -1590308982007505347086599/200000000000000000000000000 60848183973180778984538753/250000000000000000000000000 56359539384308159404985237/1000000000000000000000000000 -43538620426914693141208381/500000000000000000000000000 21854644897793610713036647/125000000000000000000000000 65116181454645028139848733/250000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 115590215583318883603156663/40000000000000000000000000 402015609308778023929393541/1000000000000000000000000000 -50251902196541753426665481/125000000000000000000000000 402015407510565228883502833/1000000000000000000000000000 12814735572806219469/1000000000000000000000000000 459225879616345433634388709/250000000000000000000000000
0/1 402015609308778023929393541/1000000000000000000000000000 1070358195362797295632400809/1000000000000000000000000000 24043726420674683302495409/500000000000000000000000000 -246112825073245397241102703/1000000000000000000000000000 -4499424590982335311585263/100000000000000000000000000 63886366522861030468690141/250000000000000000000000000
0/1 -50251902196541753426665481/125000000000000000000000000 24043726420674683302495409/500000000000000000000000000 535180723872306257747824241/500000000000000000000000000 -87233928606429013248031819/100000000000000000000000000 8998798935865163638630893/200000000000000000000000000 -63886304236528398651833321/250000000000000000000000000
0/1 402015407510565228883502833/1000000000000000000000000000 -246112825073245397241102703/1000000000000000000000000000 -87233928606429013248031819/100000000000000000000000000 1070362525086326589370089607/1000000000000000000000000000 1799764026974432858256579/40000000000000000000000000 127772668879659062849255089/500000000000000000000000000
0/1 12814735572806219469/1000000000000000000000000000 -4499424590982335311585263/100000000000000000000000000 8998798935865163638630893/200000000000000000000000000 1799764026974432858256579/40000000000000000000000000 456451532830608547968766251/1000000000000000000000000000 8251334185301187531/1000000000000000000000000000
0/1 459225879616345433634388709/250000000000000000000000000 63886366522861030468690141/250000000000000000000000000 -63886304236528398651833321/250000000000000000000000000 127772668879659062849255089/500000000000000000000000000 8251334185301187531/1000000000000000000000000000 1167647112386713274815876321/1000000000000000000000000000


--- 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 :
3127338145691468660504001149/1000000000000000000000000000 33378692500101682244567747/40000000000000000000000000 -121831851366410957600240173/250000000000000000000000000 -55759494869935073203931319/100000000000000000000000000 -210411535286491166221817069/1000000000000000000000000000 -75701134431374994035866643/31250000000000000000000000 -308718185624810039616518689/1000000000000000000000000000 5321430171029335361083843/12500000000000000000000000 145304612237668090582677339/200000000000000000000000000 24109465636998216081454413/200000000000000000000000000 190878259889972207056848437/100000000000000000000000000 -849342528708652233902391591/500000000000000000000000000
33378692500101682244567747/40000000000000000000000000 110115350893980129149854319/100000000000000000000000000 -113497895883605981652723349/1000000000000000000000000000 -43878338179321371937788957/200000000000000000000000000 -1141989674675143202508143069/1000000000000000000000000000 -198850099089635936478229001/125000000000000000000000000 476642409008982178643234381/1000000000000000000000000000 10869355018981072450676153/10000000000000000000000000 49575381174758536084690119/125000000000000000000000000 36426199303467184615303089/1000000000000000000000000000 -143512749975517873724684507/500000000000000000000000000 -603194085596918984534548179/1000000000000000000000000000
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145304612237668090582677339/200000000000000000000000000 49575381174758536084690119/125000000000000000000000000 -114026587348472864361090351/1000000000000000000000000000 -34522960450667765745484029/200000000000000000000000000 -499874176906606683122895321/1000000000000000000000000000 -625482887680292026068249/625000000000000000000000 187543922922409778729109981/1000000000000000000000000000 275159792524613161360620417/500000000000000000000000000 85830160001256157327330641/250000000000000000000000000 24555620986107788707598907/1000000000000000000000000000 7410379941288952097059473/100000000000000000000000000 -464164598130166686624175287/1000000000000000000000000000
24109465636998216081454413/200000000000000000000000000 36426199303467184615303089/1000000000000000000000000000 -8547356413591992939417723/100000000000000000000000000 -18704130106593545945740719/500000000000000000000000000 -113250949296110511310743789/1000000000000000000000000000 -33632223501093278669385957/250000000000000000000000000 12459084639934354922766207/1000000000000000000000000000 29411408094415287677379519/500000000000000000000000000 24555620986107788707598907/1000000000000000000000000000 142255017292241418643710171/1000000000000000000000000000 19437991420981169485820973/500000000000000000000000000 -4500710427069972406798851/62500000000000000000000000
190878259889972207056848437/100000000000000000000000000 -143512749975517873724684507/500000000000000000000000000 -105995612095432061419456561/250000000000000000000000000 -27166572571531961083593111/125000000000000000000000000 772565407021360360964695391/500000000000000000000000000 15699220332694681641666187/125000000000000000000000000 -22758795752187806150663489/20000000000000000000000000 -174177731164943835451895831/125000000000000000000000000 7410379941288952097059473/100000000000000000000000000 19437991420981169485820973/500000000000000000000000000 629413958690674172445503027/250000000000000000000000000 -48883129005728750775281061/62500000000000000000000000
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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 :
613389970122357720999633117/250000000000000000000000000 2113994044417833001770829/200000000000000000000000000 231019895175726278268407583/1000000000000000000000000000 -23774700881621566589757421/125000000000000000000000000
2113994044417833001770829/200000000000000000000000000 53646263742617065998826047/1000000000000000000000000000 18567170711662994187109287/500000000000000000000000000 36439067314552503883764687/1000000000000000000000000000
231019895175726278268407583/1000000000000000000000000000 18567170711662994187109287/500000000000000000000000000 841940687376807296242754427/1000000000000000000000000000 206657476278290509361198379/1000000000000000000000000000
-23774700881621566589757421/125000000000000000000000000 36439067314552503883764687/1000000000000000000000000000 206657476278290509361198379/1000000000000000000000000000 285644756235302891537273751/500000000000000000000000000


--- 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 :
4929292654096041853564907/1000000000000000000000000000 600253718703774023936073/1000000000000000000000000000 2245139832112948367082021/500000000000000000000000000 996289463832499997982749/500000000000000000000000000 3055713693316026676596709/1000000000000000000000000000 -13369493304583335438666279/500000000000000000000000000
600253718703774023936073/1000000000000000000000000000 41341360390078167756843849/1000000000000000000000000000 273396928176761280464097/500000000000000000000000000 -778939427254721713192047/62500000000000000000000000 372102780931217936386071/1000000000000000000000000000 -203505055828573356438813/62500000000000000000000000
2245139832112948367082021/500000000000000000000000000 273396928176761280464097/500000000000000000000000000 511295759803547103294741/125000000000000000000000000 28361184002775498808473/15625000000000000000000000 1391782758667408631119527/500000000000000000000000000 -6089389301798712136980369/250000000000000000000000000
996289463832499997982749/500000000000000000000000000 -778939427254721713192047/62500000000000000000000000 28361184002775498808473/15625000000000000000000000 38059943207082306545386801/500000000000000000000000000 617608993731369397605283/500000000000000000000000000 -1080875985202036584676899/100000000000000000000000000
3055713693316026676596709/1000000000000000000000000000 372102780931217936386071/1000000000000000000000000000 1391782758667408631119527/500000000000000000000000000 617608993731369397605283/500000000000000000000000000 1894264924148921059326683/1000000000000000000000000000 -8287871431119993604728453/500000000000000000000000000
-13369493304583335438666279/500000000000000000000000000 -203505055828573356438813/62500000000000000000000000 -6089389301798712136980369/250000000000000000000000000 -1080875985202036584676899/100000000000000000000000000 -8287871431119993604728453/500000000000000000000000000 14504584228552157528261751/100000000000000000000000000


--- 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 :
2354008766415689843574593/12500000000000000000000000 -86559723415489978370621271/1000000000000000000000000000 -12720133922470954625776677/250000000000000000000000000 0/1 0/1 0/1 1249721871233394796223701/1000000000000000000000000000 0/1 0/1 0/1
-86559723415489978370621271/1000000000000000000000000000 188320701565691772174331999/1000000000000000000000000000 -6360067247728636985189693/125000000000000000000000000 0/1 0/1 0/1 312430382568803982575859/250000000000000000000000000 0/1 0/1 0/1
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1


--- 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 :
2699081740809062244550601/50000000000000000000000000 -8378799742091260758656317/125000000000000000000000000 2682017665656384361126947/100000000000000000000000000 9433476757225213940992621/100000000000000000000000000 209761101591262269112497/31250000000000000000000000 -37285474356354376853581499/250000000000000000000000000
-8378799742091260758656317/125000000000000000000000000 260104331249428994356817/3125000000000000000000000 -8325827471230872529101771/250000000000000000000000000 -5856896545620701070910549/50000000000000000000000000 -1041863230647806561940399/125000000000000000000000000 11574585467245862979688723/62500000000000000000000000
2682017665656384361126947/100000000000000000000000000 -8325827471230872529101771/250000000000000000000000000 19823806428347939344738353/200000000000000000000000000 9373836630957577327362063/200000000000000000000000000 416869918713835284121857/125000000000000000000000000 -37049748908823484842400197/500000000000000000000000000
9433476757225213940992621/100000000000000000000000000 -5856896545620701070910549/50000000000000000000000000 9373836630957577327362063/200000000000000000000000000 6594130320961159821783469/40000000000000000000000000 36656475543382062250497/3125000000000000000000000 -26063060662798049693362931/100000000000000000000000000
209761101591262269112497/31250000000000000000000000 -1041863230647806561940399/125000000000000000000000000 416869918713835284121857/125000000000000000000000000 36656475543382062250497/3125000000000000000000000 208662229145072649904839/250000000000000000000000000 -4636268435203306430745171/250000000000000000000000000
-37285474356354376853581499/250000000000000000000000000 11574585467245862979688723/62500000000000000000000000 -37049748908823484842400197/500000000000000000000000000 -26063060662798049693362931/100000000000000000000000000 -4636268435203306430745171/250000000000000000000000000 25753325232040563744766111/62500000000000000000000000


--- 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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