#Density : 9903641989218561869259157883/48000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 9, 10, 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 :
1329225748009005463023/78125000000000000000000 -7074195363151086478407/312500000000000000000000 676196687204865313509/39062500000000000000000 -8259621305085115956309/312500000000000000000000 1390938048221659764981/19531250000000000000000 -5747129610549996055629/156250000000000000000000
-7074195363151086478407/312500000000000000000000 37649165396463027386463/1250000000000000000000000 -3598747222861030091181/156250000000000000000000 43958052140757350196381/1250000000000000000000000 -7402630821663427271229/78125000000000000000000 30586465619762916498261/625000000000000000000000
676196687204865313509/39062500000000000000000 -3598747222861030091181/156250000000000000000000 343991199742947397047/19531250000000000000000 -4201790833822640109447/156250000000000000000000 707590641938358955623/9765625000000000000000 -2923649357087661737007/78125000000000000000000
-8259621305085115956309/312500000000000000000000 43958052140757350196381/1250000000000000000000000 -4201790833822640109447/156250000000000000000000 51324121734477382901847/1250000000000000000000000 -8643092833819597607223/78125000000000000000000 35711852742460320481407/625000000000000000000000
1390938048221659764981/19531250000000000000000 -7402630821663427271229/78125000000000000000000 707590641938358955623/9765625000000000000000 -8643092833819597607223/78125000000000000000000 1455515481014871760407/4882812500000000000000 -6013953051503152711263/39062500000000000000000
-5747129610549996055629/156250000000000000000000 30586465619762916498261/625000000000000000000000 -2923649357087661737007/78125000000000000000000 35711852742460320481407/625000000000000000000000 -6013953051503152711263/39062500000000000000000 24848675110254315889767/312500000000000000000000


--- 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 :
15489944598314544957542943/125000000000000000000000000 44100395135056011484754721/250000000000000000000000000 -3341299393069977024534411/25000000000000000000000000 -76707239165203213594736253/250000000000000000000000000 6868832324738199743331009/62500000000000000000000000 -7123157457768651390248061/31250000000000000000000000
44100395135056011484754721/250000000000000000000000000 125555313559978113917302687/500000000000000000000000000 -9512792157755180230760117/50000000000000000000000000 -218388099159036958169428291/500000000000000000000000000 19555797486219569506330623/125000000000000000000000000 -20279869724711564755321667/62500000000000000000000000
-3341299393069977024534411/25000000000000000000000000 -9512792157755180230760117/50000000000000000000000000 720743806620494828070247/5000000000000000000000000 16546337531423784219945281/50000000000000000000000000 -1481659610341308567099093/12500000000000000000000000 1536519484580597525311297/6250000000000000000000000
-76707239165203213594736253/250000000000000000000000000 -218388099159036958169428291/500000000000000000000000000 16546337531423784219945281/50000000000000000000000000 379859366378103230229602263/500000000000000000000000000 -34014915971791305533461539/125000000000000000000000000 35274350999545484793129431/62500000000000000000000000
6868832324738199743331009/62500000000000000000000000 19555797486219569506330623/125000000000000000000000000 -1481659610341308567099093/12500000000000000000000000 -34014915971791305533461539/125000000000000000000000000 3045902275886907487286367/31250000000000000000000000 -3158679741530199100139043/15625000000000000000000000
-7123157457768651390248061/31250000000000000000000000 -20279869724711564755321667/62500000000000000000000000 1536519484580597525311297/6250000000000000000000000 35274350999545484793129431/62500000000000000000000000 -3158679741530199100139043/15625000000000000000000000 3275632901468613942309847/7812500000000000000000000


--- 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 :
345454384851948756065008971/1000000000000000000000000000 156278965575746861260049467/500000000000000000000000000 12190457138657393155922869/200000000000000000000000000 184668725652768098698763699/125000000000000000000000000 261762678677145213130728359/1000000000000000000000000000 -299689640392453774641111317/200000000000000000000000000 -75909359585289835518963987/125000000000000000000000000 -863467247987998850584126741/500000000000000000000000000 -472029008917498161191296819/1000000000000000000000000000 10264435540301538473698917/40000000000000000000000000 21299905387657578640472869/100000000000000000000000000 -192638186544878322429256047/500000000000000000000000000
156278965575746861260049467/500000000000000000000000000 435581029776165573908827477/500000000000000000000000000 200809135762353112265644439/500000000000000000000000000 913207397447406444148706427/500000000000000000000000000 285770075548932510141098667/500000000000000000000000000 -712481209733544230686519299/500000000000000000000000000 -117355541339091136087148071/100000000000000000000000000 -1459096154621812286260935483/500000000000000000000000000 -313568099310841546806637111/250000000000000000000000000 581047084700008641899124751/500000000000000000000000000 -38203850231808905052838417/100000000000000000000000000 4061418742966543796738307/50000000000000000000000000
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--- Term 9 ---

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

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

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

Matrix :
517112441309477171456448461/500000000000000000000000000 242818866765528177339443/312500000000000000000000 205841873244111509309372799/500000000000000000000000000 259238406460998383913807667/125000000000000000000000000
242818866765528177339443/312500000000000000000000 9121575479095283608202449/15625000000000000000000000 9665652264613696394601711/31250000000000000000000000 24345953071711270038521753/15625000000000000000000000
205841873244111509309372799/500000000000000000000000000 9665652264613696394601711/31250000000000000000000000 81937453822131303613616973/500000000000000000000000000 103192487536355569862059821/125000000000000000000000000
259238406460998383913807667/125000000000000000000000000 24345953071711270038521753/15625000000000000000000000 103192487536355569862059821/125000000000000000000000000 304346557342722354468475631/31250000000000000000000000


--- 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 :
382582279992757169827281501/100000000000000000000000000 -1693213300040618534878219131/1000000000000000000000000000 -2911650513274668761928597343/1000000000000000000000000000 437271349532077433064507873/125000000000000000000000000 -506429660290461388246976371/1000000000000000000000000000 277867216859760600406827277/200000000000000000000000000 -3614541243795069457402556837/1000000000000000000000000000 75174992145524211185177777/62500000000000000000000000 495592736035065074937415623/500000000000000000000000000 -1796412371680798156152454649/500000000000000000000000000
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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 :
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93417445138593089147862961/62500000000000000000000000 -601073455986651514500536711/500000000000000000000000000 9482805061350170604593007/15625000000000000000000000 -335570553178830653356984943/250000000000000000000000000 28180078565845185445683959/31250000000000000000000000 1236539297573912761387627837/500000000000000000000000000


--- 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 :
314434410723003174668233017/250000000000000000000000000 26841754203800635981178457/62500000000000000000000000 477167555534786468182875559/250000000000000000000000000 -93525319302043283872369153/250000000000000000000000000 -515217617198211525692972897/250000000000000000000000000 8672517935304428706642347/125000000000000000000000000 -47268320174498043287359/500000000000000000000000 -81969248683479271765887789/250000000000000000000000000 -24519927219275072995048691/62500000000000000000000000
26841754203800635981178457/62500000000000000000000000 156461280202155864350865459/500000000000000000000000000 120369867057205396290987857/500000000000000000000000000 -59543676313013389722201457/250000000000000000000000000 -237367612479429797408420843/250000000000000000000000000 -151714193020014625654756273/500000000000000000000000000 9374299883900988256166933/50000000000000000000000000 20425296382429053888703077/125000000000000000000000000 -54941836704743360363509933/125000000000000000000000000
477167555534786468182875559/250000000000000000000000000 120369867057205396290987857/500000000000000000000000000 1956188255158910928614091741/500000000000000000000000000 -36843444497990448514193763/125000000000000000000000000 -157499129107993560527558181/62500000000000000000000000 456925190565320334037773841/500000000000000000000000000 -34333792660575828155841333/50000000000000000000000000 -294548189475804906772762233/250000000000000000000000000 19993295765078833468041031/125000000000000000000000000
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--- 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 :
2355236714377456034546663/10000000000000000000000000 38305642616488389/1000000000000000000000000000 -63806608748115627167507719/500000000000000000000000000 127613217406978025527818989/1000000000000000000000000000 31903304768646303794001123/250000000000000000000000000 -10361589655725574328425651/100000000000000000000000000 1346543882519447/5000000000000000000000000
38305642616488389/1000000000000000000000000000 110210615096168821995417/62500000000000000000000000 -58728663071734943109009021/1000000000000000000000000000 58728661024459992882347373/1000000000000000000000000000 -5872866098644908955994427/100000000000000000000000000 -5707725775795389/200000000000000000000000000 -30351242556895208729337699/1000000000000000000000000000
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1346543882519447/5000000000000000000000000 -30351242556895208729337699/1000000000000000000000000000 505420878399225303462077717/500000000000000000000000000 -40433670157162158988061347/40000000000000000000000000 252710438570280082117871503/250000000000000000000000000 20667426836398633/250000000000000000000000000 65300958358773581187315881/125000000000000000000000000


--- 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 :
885619532954451005120728303/250000000000000000000000000 -707756874125090422680946911/200000000000000000000000000 -262681648702245589664809821/100000000000000000000000000 1144402081181000751096984339/1000000000000000000000000000 -3720181415148754613923824241/1000000000000000000000000000 45509881232003808552446691/1000000000000000000000000000 311106550244199149955093643/250000000000000000000000000 326436895313868007976050727/250000000000000000000000000 -568457888401628107250721267/500000000000000000000000000 2180162611376938601579193717/1000000000000000000000000000 -225480029128150485630227761/125000000000000000000000000 899599402870945116397873489/500000000000000000000000000
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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 :
79447275976415610249598413/25000000000000000000000000 19772982254561225294301573/7812500000000000000000000 128844480925443748533333099/250000000000000000000000000 367597642283416225991505591/250000000000000000000000000
19772982254561225294301573/7812500000000000000000000 524862430967469539444819197/250000000000000000000000000 -7104083838269064041764817/250000000000000000000000000 27716897185819723831230581/25000000000000000000000000
128844480925443748533333099/250000000000000000000000000 -7104083838269064041764817/250000000000000000000000000 153638340194047055012740087/25000000000000000000000000 516587371355545563444054947/250000000000000000000000000
367597642283416225991505591/250000000000000000000000000 27716897185819723831230581/25000000000000000000000000 516587371355545563444054947/250000000000000000000000000 371943195806105798232968881/250000000000000000000000000


--- 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 :
22985986345677299659/15625000000000000000000000 -1999800991157352160921/15625000000000000000000000 5051256990731354689/3906250000000000000000000 -2503349611413323019919/6250000000000000000000000 4397609179059782306907/62500000000000000000000000 26994700815175477044661/62500000000000000000000000
-1999800991157352160921/15625000000000000000000000 173984441828662736578099/15625000000000000000000000 -439463792623140464491/3906250000000000000000000 217793613849387511081861/6250000000000000000000000 -382595859179228550431433/62500000000000000000000000 -2348562669199367813533159/62500000000000000000000000
5051256990731354689/3906250000000000000000000 -439463792623140464491/3906250000000000000000000 1110032730494974819/976562500000000000000000 -550120496668361339149/1562500000000000000000000 966391164345554330097/15625000000000000000000000 5932187079324511764031/15625000000000000000000000
-2503349611413323019919/6250000000000000000000000 217793613849387511081861/6250000000000000000000000 -550120496668361339149/1562500000000000000000000 272633907578290633096579/2500000000000000000000000 -478933253678594193937887/25000000000000000000000000 -2939929258619649264169201/25000000000000000000000000
4397609179059782306907/62500000000000000000000000 -382595859179228550431433/62500000000000000000000000 966391164345554330097/15625000000000000000000000 -478933253678594193937887/25000000000000000000000000 841337247874407673285611/250000000000000000000000000 5164544270823211513692453/250000000000000000000000000
26994700815175477044661/62500000000000000000000000 -2348562669199367813533159/62500000000000000000000000 5932187079324511764031/15625000000000000000000000 -2939929258619649264169201/25000000000000000000000000 5164544270823211513692453/250000000000000000000000000 31702527842050862993724619/250000000000000000000000000


--- 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 :
23504445450205015510599567/40000000000000000000000000 -23504445450205015510599567/40000000000000000000000000 -1684239165090577/4000000000000000000000000 5280257745813308321165451/20000000000000000000000000 -5280257745813308321165451/20000000000000000000000000 10560515484389716290291433/40000000000000000000000000 0/1 -12480960120530514358711/32000000000000000000000 12480960120530514358711/32000000000000000000000 22648784558480387/40000000000000000000000000
-23504445450205015510599567/40000000000000000000000000 23504445450205015510599567/40000000000000000000000000 1684239165090577/4000000000000000000000000 -5280257745813308321165451/20000000000000000000000000 5280257745813308321165451/20000000000000000000000000 -10560515484389716290291433/40000000000000000000000000 0/1 12480960120530514358711/32000000000000000000000 -12480960120530514358711/32000000000000000000000 -22648784558480387/40000000000000000000000000
-1684239165090577/4000000000000000000000000 1684239165090577/4000000000000000000000000 58761113745036292997766603/100000000000000000000000000 26401288743206220489020993/100000000000000000000000000 -26401288743206220489020993/100000000000000000000000000 -13200644397309785779210409/50000000000000000000000000 0/1 1206913641081739/6250000000000000000000000 -1206913641081739/6250000000000000000000000 -19501500233954031475151223/50000000000000000000000000
5280257745813308321165451/20000000000000000000000000 -5280257745813308321165451/20000000000000000000000000 26401288743206220489020993/100000000000000000000000000 23724126508615895988549963/100000000000000000000000000 -23724126508615895988549963/100000000000000000000000000 -4951619154339347/25000000000000000000000000 0/1 -4380998805751842183114539/25000000000000000000000000 4380998805751842183114539/25000000000000000000000000 -4380998805245604686070199/25000000000000000000000000
-5280257745813308321165451/20000000000000000000000000 5280257745813308321165451/20000000000000000000000000 -26401288743206220489020993/100000000000000000000000000 -23724126508615895988549963/100000000000000000000000000 23724126508615895988549963/100000000000000000000000000 4951619154339347/25000000000000000000000000 0/1 4380998805751842183114539/25000000000000000000000000 -4380998805751842183114539/25000000000000000000000000 4380998805245604686070199/25000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-12480960120530514358711/32000000000000000000000 12480960120530514358711/32000000000000000000000 1206913641081739/6250000000000000000000000 -4380998805751842183114539/25000000000000000000000000 4380998805751842183114539/25000000000000000000000000 -17523995203236953682035319/100000000000000000000000000 0/1 12944224032890800497730421/50000000000000000000000000 -12944224032890800497730421/50000000000000000000000000 -31849974640641293/100000000000000000000000000
12480960120530514358711/32000000000000000000000 -12480960120530514358711/32000000000000000000000 -1206913641081739/6250000000000000000000000 4380998805751842183114539/25000000000000000000000000 -4380998805751842183114539/25000000000000000000000000 17523995203236953682035319/100000000000000000000000000 0/1 -12944224032890800497730421/50000000000000000000000000 12944224032890800497730421/50000000000000000000000000 31849974640641293/100000000000000000000000000
22648784558480387/40000000000000000000000000 -22648784558480387/40000000000000000000000000 -19501500233954031475151223/50000000000000000000000000 -4380998805245604686070199/25000000000000000000000000 4380998805245604686070199/25000000000000000000000000 35047990561749173837446567/200000000000000000000000000 0/1 -31849974640641293/100000000000000000000000000 31849974640641293/100000000000000000000000000 51776896268517008820052029/200000000000000000000000000


--- 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 :
20601578630605129967734053/250000000000000000000000000 10161691095962191616820837/125000000000000000000000000 122837965532981915878507557/500000000000000000000000000 -3166612158464468805139359/31250000000000000000000000 -197817560337406311815723331/500000000000000000000000000 -15377174590621970357378121/100000000000000000000000000
10161691095962191616820837/125000000000000000000000000 55692013351932414043491857/500000000000000000000000000 40549631684470996530220487/500000000000000000000000000 -2770061961818668472431027/125000000000000000000000000 -60163304331345257585832929/250000000000000000000000000 -84962249957746997378468439/500000000000000000000000000
122837965532981915878507557/500000000000000000000000000 40549631684470996530220487/500000000000000000000000000 1566219429780305408933247847/1000000000000000000000000000 -3521885764574045846409853/5000000000000000000000000 -1953209027318224020109156379/1000000000000000000000000000 -364181541995384437776767151/1000000000000000000000000000
-3166612158464468805139359/31250000000000000000000000 -2770061961818668472431027/125000000000000000000000000 -3521885764574045846409853/5000000000000000000000000 9959101247883794159440793/31250000000000000000000000 53736801955377628125039283/62500000000000000000000000 17951464615979773546116837/125000000000000000000000000
-197817560337406311815723331/500000000000000000000000000 -60163304331345257585832929/250000000000000000000000000 -1953209027318224020109156379/1000000000000000000000000000 53736801955377628125039283/62500000000000000000000000 2617416559760607253635603637/1000000000000000000000000000 130159974223053039594043959/200000000000000000000000000
-15377174590621970357378121/100000000000000000000000000 -84962249957746997378468439/500000000000000000000000000 -364181541995384437776767151/1000000000000000000000000000 17951464615979773546116837/125000000000000000000000000 130159974223053039594043959/200000000000000000000000000 297595804305516995575641399/1000000000000000000000000000


--- 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 :
796849396395625562910611/12500000000000000000000000 -796849396395625562910611/12500000000000000000000000 78759084681782353/1000000000000000000000000000 12207774615135132774631399/500000000000000000000000000 -24415550072075396715919903/1000000000000000000000000000 1525971650278849554332843/62500000000000000000000000 0/1 1965154204727967235712941/20000000000000000000000000 -1965154204727967235712941/20000000000000000000000000 1490618179772308307/500000000000000000000000000
-796849396395625562910611/12500000000000000000000000 796849396395625562910611/12500000000000000000000000 -78759084681782353/1000000000000000000000000000 -12207774615135132774631399/500000000000000000000000000 24415550072075396715919903/1000000000000000000000000000 -1525971650278849554332843/62500000000000000000000000 0/1 -1965154204727967235712941/20000000000000000000000000 1965154204727967235712941/20000000000000000000000000 -1490618179772308307/500000000000000000000000000
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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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-1965154204727967235712941/20000000000000000000000000 1965154204727967235712941/20000000000000000000000000 2199816951123547517/500000000000000000000000000 -2151316414544968610891270019/1000000000000000000000000000 1075658208170242254232992669/500000000000000000000000000 -2151316414004343074444128691/1000000000000000000000000000 0/1 -1774498273866060506042951569/500000000000000000000000000 1774498273866060506042951569/500000000000000000000000000 3078010360382224009/1000000000000000000000000000
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