#Density : 4580897480573292672572261377/16000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 10, 11, 12, 13}
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 :
2115245183963120196795897/500000000000000000000000000 -342470420444700130230003/62500000000000000000000000 -3782109213214741053324873/1000000000000000000000000000 -153822393996405999302583/31250000000000000000000000 -7852676994167564053169547/500000000000000000000000000 34802516502611562998252343/1000000000000000000000000000
-342470420444700130230003/62500000000000000000000000 141946727409229431291551/20000000000000000000000000 4898762724009623118548037/1000000000000000000000000000 1593903017499125945741031/250000000000000000000000000 2542787577417366229733409/125000000000000000000000000 -9015565703339895690939413/200000000000000000000000000
-3782109213214741053324873/1000000000000000000000000000 4898762724009623118548037/1000000000000000000000000000 676250214827730694314173/200000000000000000000000000 220030509614840501866261/50000000000000000000000000 14040775128800208530827529/1000000000000000000000000000 -31113867864000820995626227/1000000000000000000000000000
-153822393996405999302583/31250000000000000000000000 1593903017499125945741031/250000000000000000000000000 220030509614840501866261/50000000000000000000000000 880398627229465121090351/50000000000000000000000000 2278716777132489357388657/250000000000000000000000000 -20246944244779968388625107/500000000000000000000000000
-7852676994167564053169547/500000000000000000000000000 2542787577417366229733409/125000000000000000000000000 14040775128800208530827529/1000000000000000000000000000 2278716777132489357388657/250000000000000000000000000 41325652142229105614552171/500000000000000000000000000 -25840306590783093872339353/200000000000000000000000000
34802516502611562998252343/1000000000000000000000000000 -9015565703339895690939413/200000000000000000000000000 -31113867864000820995626227/1000000000000000000000000000 -20246944244779968388625107/500000000000000000000000000 -25840306590783093872339353/200000000000000000000000000 71576522434459541571234959/250000000000000000000000000


--- 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 :
142857754282356039940984071/500000000000000000000000000 183881067030323225126005157/500000000000000000000000000 -139641370076886511152367023/250000000000000000000000000 -279459951336830167852529751/500000000000000000000000000 -147560984317083876242740431/500000000000000000000000000 14987031464399388603771493/250000000000000000000000000
183881067030323225126005157/500000000000000000000000000 601901275948782653274760093/1000000000000000000000000000 -183066288285803136345351761/250000000000000000000000000 -580503168865553062425291387/500000000000000000000000000 -195525266041951156476567389/1000000000000000000000000000 143844794664133119727281909/1000000000000000000000000000
-139641370076886511152367023/250000000000000000000000000 -183066288285803136345351761/250000000000000000000000000 1093355635711186148978456607/1000000000000000000000000000 569184457323296042056037631/500000000000000000000000000 69734779493609406125100819/125000000000000000000000000 -62048650906933439287141411/500000000000000000000000000
-279459951336830167852529751/500000000000000000000000000 -580503168865553062425291387/500000000000000000000000000 569184457323296042056037631/500000000000000000000000000 1305242213768574111572056461/500000000000000000000000000 -28007882676842605297551519/500000000000000000000000000 -86591083765387825105160523/250000000000000000000000000
-147560984317083876242740431/500000000000000000000000000 -195525266041951156476567389/1000000000000000000000000000 69734779493609406125100819/125000000000000000000000000 -28007882676842605297551519/500000000000000000000000000 569230927662517866351696117/1000000000000000000000000000 33715482637830787502522143/1000000000000000000000000000
14987031464399388603771493/250000000000000000000000000 143844794664133119727281909/1000000000000000000000000000 -62048650906933439287141411/500000000000000000000000000 -86591083765387825105160523/250000000000000000000000000 33715482637830787502522143/1000000000000000000000000000 80214523646788651845298307/1000000000000000000000000000


--- 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 :
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 16659193/1000000000


--- 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 230641/62500000 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 :
2728453/250000000


--- 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 :
747555115081171628915808973/500000000000000000000000000 -1699260527501358299461739/6250000000000000000000000 -171731141861933461526288473/250000000000000000000000000 -660416732676599816588995129/500000000000000000000000000 -160547719217080652730583891/100000000000000000000000000 230776383799506312178099461/500000000000000000000000000 237444135085980024129392567/125000000000000000000000000 872933940132653955918386973/250000000000000000000000000 56062929317662958554969463/62500000000000000000000000 -14575635807136676841283759/500000000000000000000000000 -922426578745057735116738099/500000000000000000000000000 296047985691616906500586617/500000000000000000000000000
-1699260527501358299461739/6250000000000000000000000 314444567477876757053272627/200000000000000000000000000 123725265656406168571316119/100000000000000000000000000 163372770954323082833257859/250000000000000000000000000 11505404352968271113055911/12500000000000000000000000 55447241152219068062237103/31250000000000000000000000 -3186700736170654290963099043/1000000000000000000000000000 -1173732773571851076860751381/250000000000000000000000000 -20203343472010700895439037/10000000000000000000000000 269600422425834965519735341/500000000000000000000000000 -118033294215484069013917071/1000000000000000000000000000 25762780792061122458509409/20000000000000000000000000
-171731141861933461526288473/250000000000000000000000000 123725265656406168571316119/100000000000000000000000000 1128128063394956946661978291/1000000000000000000000000000 908755152848735942539511589/1000000000000000000000000000 1196714918589014773849672463/1000000000000000000000000000 1145320919607873044737451001/1000000000000000000000000000 -147409589699234539090263003/50000000000000000000000000 -2284964899494200579149784907/500000000000000000000000000 -353751393096997625371177193/200000000000000000000000000 201694009803193104113624483/500000000000000000000000000 516336861906102742219195497/1000000000000000000000000000 747551982461141923243397171/1000000000000000000000000000
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296047985691616906500586617/500000000000000000000000000 25762780792061122458509409/20000000000000000000000000 747551982461141923243397171/1000000000000000000000000000 -144239124395520188300605351/1000000000000000000000000000 -59726603629209302661678829/1000000000000000000000000000 1794857756388133726285674383/1000000000000000000000000000 -231512326576890132444564049/125000000000000000000000000 -1169319722031330821614467291/500000000000000000000000000 -1366726940199442205071593761/1000000000000000000000000000 34180417187365651857834601/125000000000000000000000000 -235671246777020824328150209/200000000000000000000000000 2438508599641928623462356799/1000000000000000000000000000


--- 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 :
1973764378450642868619514229/1000000000000000000000000000 1302711370501332223551287117/1000000000000000000000000000 1838700301411982612990287817/1000000000000000000000000000 984992832235627671987076441/500000000000000000000000000
1302711370501332223551287117/1000000000000000000000000000 859807246174747446005618907/1000000000000000000000000000 242713448083206569100665211/200000000000000000000000000 325054342058244043578795141/250000000000000000000000000
1838700301411982612990287817/1000000000000000000000000000 242713448083206569100665211/200000000000000000000000000 2850162904191608211286008579/1000000000000000000000000000 420359853181500635624251287/250000000000000000000000000
984992832235627671987076441/500000000000000000000000000 325054342058244043578795141/250000000000000000000000000 420359853181500635624251287/250000000000000000000000000 625546228894268454557707473/100000000000000000000000000


--- 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 :
3488211887960892774720102617/1000000000000000000000000000 -231590909091082605095544939/50000000000000000000000000 -54207065312720457117451527/250000000000000000000000000 1081952937280995592454768283/1000000000000000000000000000 141685586781534130661081883/500000000000000000000000000 1653456056832642833897183869/1000000000000000000000000000 -1673960782333363458961264059/1000000000000000000000000000 1082854590395492783552368261/1000000000000000000000000000 66705182226036763454903611/50000000000000000000000000 -2171057560831617694669124369/1000000000000000000000000000
-231590909091082605095544939/50000000000000000000000000 6150825674112293410655870567/1000000000000000000000000000 2013179413021388796728673/6250000000000000000000000 -290547666440121696725194991/200000000000000000000000000 -372326713541226518889938067/1000000000000000000000000000 -44113029734718766901502191/20000000000000000000000000 2244208567317773846579301947/1000000000000000000000000000 -1483102925426887124745243973/1000000000000000000000000000 -1768785383674817596154167031/1000000000000000000000000000 727422491788543763462823113/250000000000000000000000000
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1081952937280995592454768283/1000000000000000000000000000 -290547666440121696725194991/200000000000000000000000000 -616670631273150659923797673/500000000000000000000000000 52990002386216173797513591/50000000000000000000000000 -36811407948343545558260663/500000000000000000000000000 447262288954060663857368463/500000000000000000000000000 -1329280530442098283594380677/1000000000000000000000000000 469631340314625293093900081/250000000000000000000000000 151249970892352170143125429/500000000000000000000000000 -1756753546661525989412648923/1000000000000000000000000000
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--- Term 11 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 6

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

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

Matrix :
247095091373431787959811597/500000000000000000000000000 515594430540960146035294061/1000000000000000000000000000 380876038128908943841218177/1000000000000000000000000000 37049019553422831114808023/62500000000000000000000000 27363790393093855543958463/1000000000000000000000000000 -698647040150852488889136259/1000000000000000000000000000
515594430540960146035294061/1000000000000000000000000000 401144114002570603433129397/500000000000000000000000000 547716427994906587364900609/1000000000000000000000000000 119375729802804009010848759/200000000000000000000000000 3957823450142687408701511/62500000000000000000000000 -701001292255074837603979887/1000000000000000000000000000
380876038128908943841218177/1000000000000000000000000000 547716427994906587364900609/1000000000000000000000000000 2558295929592023486947845751/1000000000000000000000000000 14921872202208000045577009/50000000000000000000000000 31264840082922757026332339/500000000000000000000000000 -137581082301616395564135043/250000000000000000000000000
37049019553422831114808023/62500000000000000000000000 119375729802804009010848759/200000000000000000000000000 14921872202208000045577009/50000000000000000000000000 194052366575133475544575421/200000000000000000000000000 -29251917416509789280343/5000000000000000000000000 -750811130569749419802272273/1000000000000000000000000000
27363790393093855543958463/1000000000000000000000000000 3957823450142687408701511/62500000000000000000000000 31264840082922757026332339/500000000000000000000000000 -29251917416509789280343/5000000000000000000000000 445566549667211500658082411/1000000000000000000000000000 -67713501755979970687054361/1000000000000000000000000000
-698647040150852488889136259/1000000000000000000000000000 -701001292255074837603979887/1000000000000000000000000000 -137581082301616395564135043/250000000000000000000000000 -750811130569749419802272273/1000000000000000000000000000 -67713501755979970687054361/1000000000000000000000000000 839351173182308009536147123/500000000000000000000000000


--- 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 :
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 10650872027849245425129613/250000000000000000000000000 0/1 -3189581818058685175340533/250000000000000000000000000 0/1 -10438097330202894358739563/500000000000000000000000000 -864843070501992632973587/100000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -3189581818058685175340533/250000000000000000000000000 0/1 53472570141960434921510649/200000000000000000000000000 0/1 -35232142920599372179076249/1000000000000000000000000000 -14458039114662872201206477/200000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 0/1 0/1 -10438097330202894358739563/500000000000000000000000000 0/1 -35232142920599372179076249/1000000000000000000000000000 0/1 160805406619842524345163033/1000000000000000000000000000 -759425490060461899041033/10000000000000000000000000
0/1 0/1 0/1 -864843070501992632973587/100000000000000000000000000 0/1 -14458039114662872201206477/200000000000000000000000000 0/1 -759425490060461899041033/10000000000000000000000000 20560031156798204582105973/31250000000000000000000000


--- 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 :
189699496069543174169601/25000000000000000000000000 0/1 -3476908277100300724964959/250000000000000000000000000 695381737194025410989639/50000000000000000000000000 3476908472762064787051237/250000000000000000000000000 87726418722126258029889/12500000000000000000000000 -24425228203438407/50000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1
-3476908277100300724964959/250000000000000000000000000 0/1 1276317444040139207796844499/500000000000000000000000000 -130708702817684321985322233/100000000000000000000000000 453407679777539037772914341/500000000000000000000000000 -228177163506275188066251/31250000000000000000000000 18117964122876848109844901/100000000000000000000000000
695381737194025410989639/50000000000000000000000000 0/1 -130708702817684321985322233/100000000000000000000000000 1276317444676114441005432377/500000000000000000000000000 -215236322198487519269558361/100000000000000000000000000 456354306602947408685251/62500000000000000000000000 -90589820931152203696888413/500000000000000000000000000
3476908472762064787051237/250000000000000000000000000 0/1 453407679777539037772914341/500000000000000000000000000 -215236322198487519269558361/100000000000000000000000000 1276317443580044403274530613/500000000000000000000000000 228177304532725890904583/31250000000000000000000000 90589820935787680841776881/500000000000000000000000000
87726418722126258029889/12500000000000000000000000 0/1 -228177163506275188066251/31250000000000000000000000 456354306602947408685251/62500000000000000000000000 228177304532725890904583/31250000000000000000000000 49272342271885733647343293/125000000000000000000000000 12972417212577041/125000000000000000000000000
-24425228203438407/50000000000000000000000000 0/1 18117964122876848109844901/100000000000000000000000000 -90589820931152203696888413/500000000000000000000000000 90589820935787680841776881/500000000000000000000000000 12972417212577041/125000000000000000000000000 307845848092827875302761301/500000000000000000000000000


--- 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 :
447094975157225137505803701/1000000000000000000000000000 -214875472945939538133040537/1000000000000000000000000000 -85590663620992046019457057/1000000000000000000000000000 -79012168409699021574750761/1000000000000000000000000000 4904183280323458980197669/100000000000000000000000000 -47403088554321208739314063/1000000000000000000000000000 9687400977346306677981973/500000000000000000000000000 -45338322055072412169516151/250000000000000000000000000 81345055607832385506504929/500000000000000000000000000 5104855754949084278366481/500000000000000000000000000 335473449533827474486401/20000000000000000000000000 3157895634413800017930991/1000000000000000000000000000
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4904183280323458980197669/100000000000000000000000000 -8891942534313344800738763/100000000000000000000000000 -4420712563801682137389959/250000000000000000000000000 -22361935320336344350444487/125000000000000000000000000 67657616544133890780641281/62500000000000000000000000 -139403256900507174799027937/500000000000000000000000000 29295073563642312222706807/125000000000000000000000000 -75332586459024205806393609/250000000000000000000000000 178219816597968012399929163/500000000000000000000000000 -81459678137389117254543707/500000000000000000000000000 37436769174921819253597129/500000000000000000000000000 -44950987115425859629432851/100000000000000000000000000
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9687400977346306677981973/500000000000000000000000000 -22201348454721660001099011/500000000000000000000000000 26630787103160672625306201/1000000000000000000000000000 -21146413544661606167750763/200000000000000000000000000 29295073563642312222706807/125000000000000000000000000 -2551668047326618303492249/15625000000000000000000000 9697730040014822325122807/50000000000000000000000000 -66959270597024775756309709/500000000000000000000000000 201720047780553884067446749/1000000000000000000000000000 -100581360617301107303433593/1000000000000000000000000000 157476721645220047260404943/1000000000000000000000000000 -75583533261292378643504127/250000000000000000000000000
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81345055607832385506504929/500000000000000000000000000 -1739288653199112667226853/8000000000000000000000000 -35647970416652996122953453/250000000000000000000000000 -26627856849840928331765001/62500000000000000000000000 178219816597968012399929163/500000000000000000000000000 -157502001051105162084004111/1000000000000000000000000000 201720047780553884067446749/1000000000000000000000000000 -533077932701383119070626663/1000000000000000000000000000 812469534053804810899700341/1000000000000000000000000000 -159083788579110354699186507/1000000000000000000000000000 366664859802828342165925133/1000000000000000000000000000 -218890549622493806990996291/1000000000000000000000000000
5104855754949084278366481/500000000000000000000000000 63338547614356904706133/6250000000000000000000000 -150735794666724547616733893/1000000000000000000000000000 -32671435679444495563723051/500000000000000000000000000 -81459678137389117254543707/500000000000000000000000000 38027884369037794562388151/500000000000000000000000000 -100581360617301107303433593/1000000000000000000000000000 44694512627866448716914593/1000000000000000000000000000 -159083788579110354699186507/1000000000000000000000000000 39284348960603185998915051/100000000000000000000000000 -29348027623124272610781771/250000000000000000000000000 142316508498130598418911747/1000000000000000000000000000
335473449533827474486401/20000000000000000000000000 -9471622361846587399593/100000000000000000000000 -77713379157651208446502153/1000000000000000000000000000 -245597449467837790849184149/1000000000000000000000000000 37436769174921819253597129/500000000000000000000000000 -2564490801755951511887241/20000000000000000000000000 157476721645220047260404943/1000000000000000000000000000 -42843104250287567029266141/125000000000000000000000000 366664859802828342165925133/1000000000000000000000000000 -29348027623124272610781771/250000000000000000000000000 216632404543878904694595041/250000000000000000000000000 -241561515914694784054130703/1000000000000000000000000000
3157895634413800017930991/1000000000000000000000000000 -47602324310695808181302417/1000000000000000000000000000 -52705411500069613085730179/500000000000000000000000000 17037779407292079966988219/500000000000000000000000000 -44950987115425859629432851/100000000000000000000000000 252651571014811720122855263/1000000000000000000000000000 -75583533261292378643504127/250000000000000000000000000 56597771478246163178339677/500000000000000000000000000 -218890549622493806990996291/1000000000000000000000000000 142316508498130598418911747/1000000000000000000000000000 -241561515914694784054130703/1000000000000000000000000000 940055319308420760240306459/1000000000000000000000000000


--- 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 :
323253523190478902295305367/100000000000000000000000000 162435650779848898109315051/250000000000000000000000000 657355193902827641938682551/250000000000000000000000000 -87105810401650515673596897/500000000000000000000000000
162435650779848898109315051/250000000000000000000000000 386499205498229741072695963/125000000000000000000000000 1074108455539954946465194231/1000000000000000000000000000 960568961399205975601768639/1000000000000000000000000000
657355193902827641938682551/250000000000000000000000000 1074108455539954946465194231/1000000000000000000000000000 6564753484311698173026808243/1000000000000000000000000000 651558703786312029121652757/1000000000000000000000000000
-87105810401650515673596897/500000000000000000000000000 960568961399205975601768639/1000000000000000000000000000 651558703786312029121652757/1000000000000000000000000000 565871339838105375289350259/500000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1
0/1 33741729704205647621373467/500000000000000000000000000 -6366075245058785058463421/500000000000000000000000000 -5228858059291344061384223/500000000000000000000000000 -5700581247447400458308851/500000000000000000000000000 0/1
0/1 -6366075245058785058463421/500000000000000000000000000 71122485685741262077429879/1000000000000000000000000000 -6161068448159285406488477/1000000000000000000000000000 -1307752401380868926379183/100000000000000000000000000 0/1
0/1 -5228858059291344061384223/500000000000000000000000000 -6161068448159285406488477/1000000000000000000000000000 153930179549419323507881791/1000000000000000000000000000 -10561817726915829110787173/500000000000000000000000000 0/1
0/1 -5700581247447400458308851/500000000000000000000000000 -1307752401380868926379183/100000000000000000000000000 -10561817726915829110787173/500000000000000000000000000 38160396965658975186408691/1000000000000000000000000000 0/1
0/1 0/1 0/1 0/1 0/1 0/1


--- 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 :
139229251875472677523805233/500000000000000000000000000 -1016783167916667234709809/8000000000000000000000000 -37840151952390103245307773/500000000000000000000000000 -16859337420239933875646817/500000000000000000000000000 33718674259383277437507323/1000000000000000000000000000 -2107417121821038044624133/62500000000000000000000000 2916510429953403498765389/500000000000000000000000000 499011461450391703987349/500000000000000000000000000 -17252205656239966344198207/1000000000000000000000000000 8127091294457136071607391/1000000000000000000000000000
-1016783167916667234709809/8000000000000000000000000 278458503158839970368251761/1000000000000000000000000000 -15136060791549375711649233/200000000000000000000000000 8429668482723362237074069/250000000000000000000000000 -33718673863683332529425983/1000000000000000000000000000 6743734823217537570711319/200000000000000000000000000 1166604162217478660315909/200000000000000000000000000 -4313051447338566080644751/250000000000000000000000000 124752861928167170406811/125000000000000000000000000 4063545638190679631667241/500000000000000000000000000
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--- Term 18 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 6

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

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

Matrix :
295290254022711545420337/500000000000000000000000000 9614826337823833701657567/500000000000000000000000000 -250853584502247600220521/12500000000000000000000000 -1951392264391959313184949/125000000000000000000000000 -45436145279332107623931/50000000000000000000000000 685188963779190747948273/50000000000000000000000000
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--- Term 19 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 10

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

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

Matrix :
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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