#Density : 15185514972486183105442093323/64000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {11, 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 :
21424317307486693825589587/250000000000000000000000000 -1386793525408639533290611/250000000000000000000000000 -4980259582010946147128517/125000000000000000000000000 -35071653999245289989456191/250000000000000000000000000 3507248014650215104618141/31250000000000000000000000 -5735286179917187947848797/250000000000000000000000000
-1386793525408639533290611/250000000000000000000000000 39257870994009712980178799/1000000000000000000000000000 1289486459312413551684657/500000000000000000000000000 -3057792705616997483417423/500000000000000000000000000 -24110267012625100478609763/1000000000000000000000000000 -50780304074961878607143/7812500000000000000000000
-4980259582010946147128517/125000000000000000000000000 1289486459312413551684657/500000000000000000000000000 4630809962013488280133629/250000000000000000000000000 16305391520887012919222829/250000000000000000000000000 -26089240981238831861057517/500000000000000000000000000 66660733092942413287863/6250000000000000000000000
-35071653999245289989456191/250000000000000000000000000 -3057792705616997483417423/500000000000000000000000000 16305391520887012919222829/250000000000000000000000000 15154752743649768193793243/62500000000000000000000000 -95461412861957699122965363/500000000000000000000000000 11805105101210882894664863/250000000000000000000000000
3507248014650215104618141/31250000000000000000000000 -24110267012625100478609763/1000000000000000000000000000 -26089240981238831861057517/500000000000000000000000000 -95461412861957699122965363/500000000000000000000000000 181837347735510643152938531/1000000000000000000000000000 -9919802119777649846324059/250000000000000000000000000
-5735286179917187947848797/250000000000000000000000000 -50780304074961878607143/7812500000000000000000000 66660733092942413287863/6250000000000000000000000 11805105101210882894664863/250000000000000000000000000 -9919802119777649846324059/250000000000000000000000000 6438244555737142112695711/250000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 1252905835807796759127/976562500000000000000000 0/1 -14387488754312664115587/15625000000000000000000000 -7455956834584052239599/6250000000000000000000000 -128874323200561366157037/31250000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
0/1 -14387488754312664115587/15625000000000000000000000 0/1 165215794147859956562847/250000000000000000000000000 85618960375466669690619/100000000000000000000000000 1479902018791597585425297/500000000000000000000000000
0/1 -7455956834584052239599/6250000000000000000000000 0/1 85618960375466669690619/100000000000000000000000000 44369888566556789915463/40000000000000000000000000 766922272534633284289269/200000000000000000000000000
0/1 -128874323200561366157037/31250000000000000000000000 0/1 1479902018791597585425297/500000000000000000000000000 766922272534633284289269/200000000000000000000000000 13256057004231726417245247/1000000000000000000000000000


--- 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 :
123256584549349782625107/40000000000000000000000000 -286520114336101161324471/200000000000000000000000000 -44230995723981316084497/20000000000000000000000000 -198097101243851640237927/40000000000000000000000000
-286520114336101161324471/200000000000000000000000000 666039678280259087388363/1000000000000000000000000000 102818603958319585698141/100000000000000000000000000 460493078771895924191931/200000000000000000000000000
-44230995723981316084497/20000000000000000000000000 102818603958319585698141/100000000000000000000000000 15872425719792298064187/10000000000000000000000000 71087740018803873588717/20000000000000000000000000
-198097101243851640237927/40000000000000000000000000 460493078771895924191931/200000000000000000000000000 71087740018803873588717/20000000000000000000000000 318380244468844674283947/40000000000000000000000000


--- 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 :
52332261394232777540260379/1000000000000000000000000000 -635515496573695409958511/40000000000000000000000000 -2227963978302009647404717/500000000000000000000000000
-635515496573695409958511/40000000000000000000000000 964701160491556343373427/200000000000000000000000000 135280379913520817025073/100000000000000000000000000
-2227963978302009647404717/500000000000000000000000000 135280379913520817025073/100000000000000000000000000 1828395923812830381382151/250000000000000000000000000


--- 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 :
623783/100000000


--- 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 :
1370691942823815528165774763/500000000000000000000000000 1040414097733322688491395697/1000000000000000000000000000 49497484364832724220260813/31250000000000000000000000 258726663572311855387842731/100000000000000000000000000 18301981118766815870194679/40000000000000000000000000 -253003283983386768764973659/250000000000000000000000000 -382596576071723289417651333/1000000000000000000000000000 -2045532080151176693560487301/1000000000000000000000000000 -3703128477909435270854539311/1000000000000000000000000000 -22326414175636859894854543/500000000000000000000000000 -338120348819474582943549217/125000000000000000000000000 -69536513127543170941774743/250000000000000000000000000
1040414097733322688491395697/1000000000000000000000000000 511249136873760801880655547/200000000000000000000000000 -59945200018812745438883349/125000000000000000000000000 26978266687663667911756153/25000000000000000000000000 -17409177866689170453437501/250000000000000000000000000 20694792464789641314219227/40000000000000000000000000 -10890148007209661709759253/1000000000000000000000000000 -268587193847982607501905933/100000000000000000000000000 -74922772321991358774350697/100000000000000000000000000 522457062506877398615442493/1000000000000000000000000000 -3187977686661060738432625069/1000000000000000000000000000 -3392631592530791778147567/500000000000000000000000000
49497484364832724220260813/31250000000000000000000000 -59945200018812745438883349/125000000000000000000000000 1455505124354545819120973513/1000000000000000000000000000 723134896547219813340157219/500000000000000000000000000 386006714792276732570252203/1000000000000000000000000000 -1035447225551391057747263451/1000000000000000000000000000 -36026720808366270162634617/125000000000000000000000000 -22709527454902337576445843/100000000000000000000000000 -493538360393300250455841559/200000000000000000000000000 -295501441581626788619571987/1000000000000000000000000000 -96436598641586538948988619/200000000000000000000000000 -52524017996296546088302687/250000000000000000000000000
258726663572311855387842731/100000000000000000000000000 26978266687663667911756153/25000000000000000000000000 723134896547219813340157219/500000000000000000000000000 2524508777013824027676386873/1000000000000000000000000000 5133118445292140789653923/12500000000000000000000000 -459048128869619634237877367/500000000000000000000000000 -356915347984943906430632463/1000000000000000000000000000 -2017777272740397068979081297/1000000000000000000000000000 -1732715655258983140882136669/500000000000000000000000000 -28881090409622535116620067/500000000000000000000000000 -2650100468296798945413749787/1000000000000000000000000000 -133795620613509944128824523/500000000000000000000000000
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-69536513127543170941774743/250000000000000000000000000 -3392631592530791778147567/500000000000000000000000000 -52524017996296546088302687/250000000000000000000000000 -133795620613509944128824523/500000000000000000000000000 -120250244242861717841495383/500000000000000000000000000 -4505940824660783396905863/125000000000000000000000000 354560482726782867368913/250000000000000000000000000 14762446614740668962048863/250000000000000000000000000 202857442414618465807606989/500000000000000000000000000 -4886472664277528730874483/50000000000000000000000000 87836778426936701417034089/500000000000000000000000000 275026880158215553251593807/250000000000000000000000000


--- Term 9 ---

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

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

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

Matrix :
1866246922343324454010990989/1000000000000000000000000000 255035545712157547565472857/125000000000000000000000000 1133171783972323560650093051/1000000000000000000000000000 990968269329891423543/6103515625000000000000
255035545712157547565472857/125000000000000000000000000 1162903967028405870558466091/500000000000000000000000000 619423037423267712992804077/500000000000000000000000000 93407065105786299249147969/500000000000000000000000000
1133171783972323560650093051/1000000000000000000000000000 619423037423267712992804077/500000000000000000000000000 688053802858351152357702979/1000000000000000000000000000 9858397808413875209282871/100000000000000000000000000
990968269329891423543/6103515625000000000000 93407065105786299249147969/500000000000000000000000000 9858397808413875209282871/100000000000000000000000000 1030484915500003894550670939/500000000000000000000000000


--- 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 :
1235987851828480748960691023/500000000000000000000000000 1135774567679884600779925481/1000000000000000000000000000 -68449176364604829336413991/500000000000000000000000000 41561847774175687626358827/1000000000000000000000000000 333273503607069168238752323/1000000000000000000000000000 -252170484158447908842682853/1000000000000000000000000000 -1071072808545382326541955077/1000000000000000000000000000 -104771018536111254078034663/250000000000000000000000000 -67623843652457439438870081/250000000000000000000000000 -1709548981075255552198877167/1000000000000000000000000000
1135774567679884600779925481/1000000000000000000000000000 813506574586083662266949551/500000000000000000000000000 158703773649683555698569003/1000000000000000000000000000 -48181899581885301801335361/1000000000000000000000000000 182540825285532043949430367/500000000000000000000000000 -86508400991000898761767507/500000000000000000000000000 -1283805885032381624050199539/1000000000000000000000000000 -210269797548481010215594039/500000000000000000000000000 -134340352836719063779822083/500000000000000000000000000 -1502003261346190940462881579/1000000000000000000000000000
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-1709548981075255552198877167/1000000000000000000000000000 -1502003261346190940462881579/1000000000000000000000000000 25736718985333027850539463/100000000000000000000000000 -78135755799321349744974897/1000000000000000000000000000 -500386841750231959182352231/1000000000000000000000000000 6128379783695387670943627/31250000000000000000000000 710037583678732886089118481/500000000000000000000000000 194605922468239706423980681/1000000000000000000000000000 175968362089400893069847523/1000000000000000000000000000 519058752981740270420910961/250000000000000000000000000


--- 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 :
935239300525878747704552261/1000000000000000000000000000 -82313058466074121138742629/1000000000000000000000000000 153391061440005777154025541/1000000000000000000000000000 -11716687701650811241194223/31250000000000000000000000 369585910141276238030238533/500000000000000000000000000 165545490782911289993277229/250000000000000000000000000
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369585910141276238030238533/500000000000000000000000000 11748542285748618039103821/200000000000000000000000000 99833580340551024099255369/500000000000000000000000000 -187346915416572666196136213/1000000000000000000000000000 1164812155927098470050668523/1000000000000000000000000000 107452936091436258228695601/200000000000000000000000000
165545490782911289993277229/250000000000000000000000000 -65594048625200110103046241/1000000000000000000000000000 15214661937835624299824313/100000000000000000000000000 -18487747045750470619731057/100000000000000000000000000 107452936091436258228695601/200000000000000000000000000 541746095305296292576655657/500000000000000000000000000


--- 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 :
525392469315449313738305069/250000000000000000000000000 -114736889674832822541264563/250000000000000000000000000 1490973277683006442677813997/1000000000000000000000000000 41221733601936655647568437/1000000000000000000000000000 -377077333180565546441362461/250000000000000000000000000 17997260915982844680656851/31250000000000000000000000 -488527280923637893744377437/500000000000000000000000000 -9200921232523885276795267/40000000000000000000000000 164166607316272554510007279/500000000000000000000000000
-114736889674832822541264563/250000000000000000000000000 57187823850644430781791041/250000000000000000000000000 -337173763648829004038502329/1000000000000000000000000000 -29154036740755650382339563/1000000000000000000000000000 82347355372329524653841829/250000000000000000000000000 -41590672645233579109128627/250000000000000000000000000 53343075903181350355845687/250000000000000000000000000 42522549057357120133492069/1000000000000000000000000000 -11510945547333178738482127/100000000000000000000000000
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-377077333180565546441362461/250000000000000000000000000 82347355372329524653841829/250000000000000000000000000 -535040241550294166045254229/500000000000000000000000000 -1849067873831827246982733/62500000000000000000000000 67657667126361578924177859/62500000000000000000000000 -103333938682333741591906921/250000000000000000000000000 350618965887833913513596701/500000000000000000000000000 41272227941105425584060129/250000000000000000000000000 -5891168043760307365739063/25000000000000000000000000
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164166607316272554510007279/500000000000000000000000000 -11510945547333178738482127/100000000000000000000000000 24061845269182835170457893/100000000000000000000000000 -16036698757375180419840521/1000000000000000000000000000 -5891168043760307365739063/25000000000000000000000000 8671369226615476674382117/100000000000000000000000000 -152647536701595473343429913/1000000000000000000000000000 -74342160489308581011648743/1000000000000000000000000000 269707753910007743055563207/500000000000000000000000000


--- 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 :
47637475108386574127436747/200000000000000000000000000 -1762792659471212299/1000000000000000000000000000 -14078729793062608659029013/1000000000000000000000000000 1407872963227565988202201/100000000000000000000000000 879920675440645456704721/62500000000000000000000000 8283958027240605004368819/200000000000000000000000000 1149809105701333217/1000000000000000000000000000
-1762792659471212299/1000000000000000000000000000 2159137468972375659282472573/1000000000000000000000000000 -246887442022703683435290009/500000000000000000000000000 493774885591231580560137941/1000000000000000000000000000 -123443721087874522886505711/250000000000000000000000000 -2384682637979660253/1000000000000000000000000000 -63230822533619752237398677/40000000000000000000000000
-14078729793062608659029013/1000000000000000000000000000 -246887442022703683435290009/500000000000000000000000000 689233288317788956412323663/1000000000000000000000000000 -45303638019366948745319359/125000000000000000000000000 24058783228573011643449359/500000000000000000000000000 -2575133462206893446961929/1000000000000000000000000000 98093659443028060466902851/250000000000000000000000000
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1149809105701333217/1000000000000000000000000000 -63230822533619752237398677/40000000000000000000000000 98093659443028060466902851/250000000000000000000000000 -392374638799954823126303161/1000000000000000000000000000 3923746377945057799844013/10000000000000000000000000 1908739262724859947/1000000000000000000000000000 1297398705262703939238763729/1000000000000000000000000000


--- 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 :
8682574940023995288548082827/500000000000000000000000000 -554629502369350221254272239/500000000000000000000000000 -977064542576212746108556141/1000000000000000000000000000 589784613940258410952495387/1000000000000000000000000000 1663447446090099861847909291/1000000000000000000000000000 222643634716098628437956479/250000000000000000000000000 -11434569373718875585378145867/1000000000000000000000000000 573414796569830561410228797/1000000000000000000000000000 -36435510930583732853023179/62500000000000000000000000 633263023244771285557606139/500000000000000000000000000 -689152811471271517957566939/500000000000000000000000000 284270628562675242789351619/125000000000000000000000000
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284270628562675242789351619/125000000000000000000000000 -61398363470155638122473217/62500000000000000000000000 -6101850933033378137660211/20000000000000000000000000 -50960118058762832835688483/500000000000000000000000000 1143577629619186099300699517/500000000000000000000000000 403442309000559694421644871/500000000000000000000000000 -1093870680707003755902065113/500000000000000000000000000 -161378694826516539473029341/125000000000000000000000000 -81134092797296516071411287/250000000000000000000000000 101989345884457766652545321/500000000000000000000000000 2661825376784574203519723/10000000000000000000000000 969731971943830925980239011/500000000000000000000000000


--- 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 :
101479951979821654654837137/25000000000000000000000000 52482386334826652117142027/31250000000000000000000000 22741023147007170947607467/250000000000000000000000000 -16881761588199003060248969/125000000000000000000000000
52482386334826652117142027/31250000000000000000000000 334692513219365452545114199/50000000000000000000000000 -245052285353909050439018319/1000000000000000000000000000 2160917616899361996356629/100000000000000000000000000
22741023147007170947607467/250000000000000000000000000 -245052285353909050439018319/1000000000000000000000000000 794694940474682230072351241/1000000000000000000000000000 83868326675201426084336643/250000000000000000000000000
-16881761588199003060248969/125000000000000000000000000 2160917616899361996356629/100000000000000000000000000 83868326675201426084336643/250000000000000000000000000 527817492665193450982218921/500000000000000000000000000


--- 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 :
204753090786481527807395431/500000000000000000000000000 -4151262663140128650197057/250000000000000000000000000 1016510954609477706489481/250000000000000000000000000 -2213648192269584548794543/50000000000000000000000000 -6411327978104845782613111/500000000000000000000000000 -17079583290183739724788337/500000000000000000000000000
-4151262663140128650197057/250000000000000000000000000 89523919738584949050407887/500000000000000000000000000 14780783584753622199477797/1000000000000000000000000000 -23812076247822222522681281/500000000000000000000000000 -3082243159257672245370523/62500000000000000000000000 5340523466017374976463683/1000000000000000000000000000
1016510954609477706489481/250000000000000000000000000 14780783584753622199477797/1000000000000000000000000000 3681711069051095215695087/200000000000000000000000000 -2544175657378882697791437/1000000000000000000000000000 -143146730702766219498911/7812500000000000000000000 1966724724839020715672947/500000000000000000000000000
-2213648192269584548794543/50000000000000000000000000 -23812076247822222522681281/500000000000000000000000000 -2544175657378882697791437/1000000000000000000000000000 94400301928611067046649459/500000000000000000000000000 995292225703577664142829/250000000000000000000000000 -38757181566968574690171727/1000000000000000000000000000
-6411327978104845782613111/500000000000000000000000000 -3082243159257672245370523/62500000000000000000000000 -143146730702766219498911/7812500000000000000000000 995292225703577664142829/250000000000000000000000000 46162168548848669652856787/1000000000000000000000000000 -469310369686199623806679/31250000000000000000000000
-17079583290183739724788337/500000000000000000000000000 5340523466017374976463683/1000000000000000000000000000 1966724724839020715672947/500000000000000000000000000 -38757181566968574690171727/1000000000000000000000000000 -469310369686199623806679/31250000000000000000000000 93625924573168621147425297/1000000000000000000000000000


--- 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 :
202543917349308648973711589/200000000000000000000000000 -158718763818813222021225207/250000000000000000000000000 -94461132618975535913058119/500000000000000000000000000 -30947257659410585851821751/125000000000000000000000000 123789030537885050764045353/500000000000000000000000000 -61894515074218443826710503/250000000000000000000000000 14597160441470992974087989/500000000000000000000000000 -2879444057160495757482237/8000000000000000000000000 79317207421746199157813547/250000000000000000000000000 1333177328071445897997459/62500000000000000000000000
-158718763818813222021225207/250000000000000000000000000 3164748707985888698971707/3125000000000000000000000 -188922266761450871551282929/1000000000000000000000000000 24757806080054887980664561/100000000000000000000000000 -123789030325386735035726311/500000000000000000000000000 247578061082965816250162811/1000000000000000000000000000 7298580350836471895171523/250000000000000000000000000 158634414749715098518641387/500000000000000000000000000 -179965253730896970081116261/500000000000000000000000000 10665420008409579188301333/500000000000000000000000000
-94461132618975535913058119/500000000000000000000000000 -188922266761450871551282929/1000000000000000000000000000 1012719586523787920063143097/1000000000000000000000000000 -123789030099980887237597403/500000000000000000000000000 30947257862905902242370079/125000000000000000000000000 4951561167459166225536093/20000000000000000000000000 -29194320236440620497037739/1000000000000000000000000000 21330837942980396060866237/1000000000000000000000000000 5332709846192756739810601/250000000000000000000000000 -17996525396631447338370777/50000000000000000000000000
-30947257659410585851821751/125000000000000000000000000 24757806080054887980664561/100000000000000000000000000 -123789030099980887237597403/500000000000000000000000000 654690180944077592220294723/500000000000000000000000000 92961541767791931143295797/500000000000000000000000000 -93456465448474079006701161/125000000000000000000000000 -234543503948239577/125000000000000000000000000 31135082491609958939192887/100000000000000000000000000 -155675412233166548836308671/500000000000000000000000000 7783770636951601596206277/25000000000000000000000000
123789030537885050764045353/500000000000000000000000000 -123789030325386735035726311/500000000000000000000000000 30947257862905902242370079/125000000000000000000000000 92961541767791931143295797/500000000000000000000000000 1309380363830770010834099287/1000000000000000000000000000 -149530344954067469237506911/200000000000000000000000000 -726920518155014429/500000000000000000000000000 -12454033022658419186841931/40000000000000000000000000 38918853113648771597480663/125000000000000000000000000 -155675413336250454726799763/500000000000000000000000000
-61894515074218443826710503/250000000000000000000000000 247578061082965816250162811/1000000000000000000000000000 4951561167459166225536093/20000000000000000000000000 -93456465448474079006701161/125000000000000000000000000 -149530344954067469237506911/200000000000000000000000000 163672545317911673185744727/125000000000000000000000000 453934405946444071/200000000000000000000000000 77837706135434958027035187/250000000000000000000000000 -77837706283685309182456847/250000000000000000000000000 -155675411684976719550456987/500000000000000000000000000
14597160441470992974087989/500000000000000000000000000 7298580350836471895171523/250000000000000000000000000 -29194320236440620497037739/1000000000000000000000000000 -234543503948239577/125000000000000000000000000 -726920518155014429/500000000000000000000000000 453934405946444071/200000000000000000000000000 134224657886432929705165103/500000000000000000000000000 -3164198750997422311891463/500000000000000000000000000 -791049788578731603468079/125000000000000000000000000 79104968752366734608197/12500000000000000000000000
-2879444057160495757482237/8000000000000000000000000 158634414749715098518641387/500000000000000000000000000 21330837942980396060866237/1000000000000000000000000000 31135082491609958939192887/100000000000000000000000000 -12454033022658419186841931/40000000000000000000000000 77837706135434958027035187/250000000000000000000000000 -3164198750997422311891463/500000000000000000000000000 233731376109604371259772921/500000000000000000000000000 -103390614948659605970726103/250000000000000000000000000 -13475072617377008210223959/500000000000000000000000000
79317207421746199157813547/250000000000000000000000000 -179965253730896970081116261/500000000000000000000000000 5332709846192756739810601/250000000000000000000000000 -155675412233166548836308671/500000000000000000000000000 38918853113648771597480663/125000000000000000000000000 -77837706283685309182456847/250000000000000000000000000 -791049788578731603468079/125000000000000000000000000 -103390614948659605970726103/250000000000000000000000000 233731376288528698812724769/500000000000000000000000000 -13475073384600006813866711/500000000000000000000000000
1333177328071445897997459/62500000000000000000000000 10665420008409579188301333/500000000000000000000000000 -17996525396631447338370777/50000000000000000000000000 7783770636951601596206277/25000000000000000000000000 -155675413336250454726799763/500000000000000000000000000 -155675411684976719550456987/500000000000000000000000000 79104968752366734608197/12500000000000000000000000 -13475072617377008210223959/500000000000000000000000000 -13475073384600006813866711/500000000000000000000000000 233731376679676917639826927/500000000000000000000000000


--- 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 :
237273669207310158994516547/1000000000000000000000000000 -52250222910796898135451893/1000000000000000000000000000 48961395681753158752458317/250000000000000000000000000 -182439595498367883501943859/1000000000000000000000000000 -781543030550807570775218489/1000000000000000000000000000 119920610423242824581593281/1000000000000000000000000000
-52250222910796898135451893/1000000000000000000000000000 11506063034085089827589043/1000000000000000000000000000 -2156365556146447916449019/50000000000000000000000000 40175168042841786014697437/1000000000000000000000000000 172104210707765026179334879/1000000000000000000000000000 -26407812756262892164361639/1000000000000000000000000000
48961395681753158752458317/250000000000000000000000000 -2156365556146447916449019/50000000000000000000000000 27298792276622747880278277/125000000000000000000000000 -9411597641518096278968669/62500000000000000000000000 -32254263771579833027659593/50000000000000000000000000 17548487241495679519573231/250000000000000000000000000
-182439595498367883501943859/1000000000000000000000000000 40175168042841786014697437/1000000000000000000000000000 -9411597641518096278968669/62500000000000000000000000 140277705978943248854868929/1000000000000000000000000000 600928012090879854006701141/1000000000000000000000000000 -92206892489589607298179857/1000000000000000000000000000
-781543030550807570775218489/1000000000000000000000000000 172104210707765026179334879/1000000000000000000000000000 -32254263771579833027659593/50000000000000000000000000 600928012090879854006701141/1000000000000000000000000000 2574282728644726162846580787/1000000000000000000000000000 -395000075634907447028099347/1000000000000000000000000000
119920610423242824581593281/1000000000000000000000000000 -26407812756262892164361639/1000000000000000000000000000 17548487241495679519573231/250000000000000000000000000 -92206892489589607298179857/1000000000000000000000000000 -395000075634907447028099347/1000000000000000000000000000 464230598711554574089179883/1000000000000000000000000000


--- 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 :
122249682772963171654006521/500000000000000000000000000 -122249682772963171654006521/500000000000000000000000000 -14019705721131189/500000000000000000000000000 -194582056506205450154261907/1000000000000000000000000000 194582056777140179892131703/1000000000000000000000000000 -7783282256779941223390647/40000000000000000000000000 0/1 0/1 0/1 0/1
-122249682772963171654006521/500000000000000000000000000 122249682772963171654006521/500000000000000000000000000 14019705721131189/500000000000000000000000000 194582056506205450154261907/1000000000000000000000000000 -194582056777140179892131703/1000000000000000000000000000 7783282256779941223390647/40000000000000000000000000 0/1 0/1 0/1 0/1
-14019705721131189/500000000000000000000000000 14019705721131189/500000000000000000000000000 61124841346012931178079489/250000000000000000000000000 -19458205657006798503104883/100000000000000000000000000 48645514059847617467944067/250000000000000000000000000 48645514187817941194198899/250000000000000000000000000 0/1 0/1 0/1 0/1
-194582056506205450154261907/1000000000000000000000000000 194582056506205450154261907/1000000000000000000000000000 -19458205657006798503104883/100000000000000000000000000 128925822626341997816992383/200000000000000000000000000 -225392824117083540196027679/500000000000000000000000000 -48460866720066341976270161/500000000000000000000000000 0/1 0/1 0/1 0/1
194582056777140179892131703/1000000000000000000000000000 -194582056777140179892131703/1000000000000000000000000000 48645514059847617467944067/250000000000000000000000000 -225392824117083540196027679/500000000000000000000000000 644629113435952839699708359/1000000000000000000000000000 -96921732338258035483068831/1000000000000000000000000000 0/1 0/1 0/1 0/1
-7783282256779941223390647/40000000000000000000000000 7783282256779941223390647/40000000000000000000000000 48645514187817941194198899/250000000000000000000000000 -48460866720066341976270161/500000000000000000000000000 -96921732338258035483068831/1000000000000000000000000000 644629112479009343747445233/1000000000000000000000000000 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

