#Density : 3/32

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 4, 6, 7, 8, 9, 11, 12}
Number of terms              : 19


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 5

Flags :
F1 : {0}
F2 : {0, 2}
F3 : {0, 3}
F4 : {0, 2, 3}
F5 : {0, 1, 2}
F6 : {0, 1, 2, 3}

Basis :
B1 : 11(F1)-2(F2)-(F3)-2(F4)-(F5)-(F6)
B2 : (F1)+2(F2)-11(F3)+2(F4)+(F5)+(F6)
B3 : (F1)+2(F2)+(F3)-4(F4)+(F5)+(F6)
B4 : (F1)+2(F2)+(F3)+2(F4)-11(F5)+(F6)
B5 : (F1)+2(F2)+(F3)+2(F4)+(F5)-11(F6)

Matrix :
58247/72000000 45687999731/399619008000000 -97497996932407/153453699072000000 -2633/9000000 -18641/144000000
45687999731/399619008000000 221054511445613/613814796288000000 10967/36000000 2513/18000000 773/12000000
-97497996932407/153453699072000000 10967/36000000 21289118699581/6138147962880000 20947/36000000 2881/9000000
-2633/9000000 2513/18000000 20947/36000000 18163/24000000 -13573/144000000
-18641/144000000 773/12000000 2881/9000000 -13573/144000000 33486593067443/122762959257600000


--- Term 2 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 5

Flags :
F1 : {}
F2 : {2}
F3 : {3}
F4 : {2, 3}
F5 : {1, 2}
F6 : {1, 2, 3}

Basis :
B1 : 11(F1)-2(F2)-(F3)-2(F4)-(F5)-(F6)
B2 : (F1)+2(F2)-11(F3)+2(F4)+(F5)+(F6)
B3 : (F1)+2(F2)+(F3)-4(F4)+(F5)+(F6)
B4 : (F1)+2(F2)+(F3)+2(F4)-11(F5)+(F6)
B5 : (F1)+2(F2)+(F3)+2(F4)+(F5)-11(F6)

Matrix :
101125320079211/306907398144000000 1483/14400000 -41967653279093/76726849536000000 -76733924011937/613814796288000000 -5153/48000000
1483/14400000 5461/8000000 1369/4800000 539/4000000 14761/72000000
-41967653279093/76726849536000000 1369/4800000 62429/18000000 21576663764671/38363424768000000 5561/24000000
-76733924011937/613814796288000000 539/4000000 21576663764671/38363424768000000 61139/144000000 -847677670339/6393904128000000
-5153/48000000 14761/72000000 5561/24000000 -847677670339/6393904128000000 50981/72000000


--- Term 3 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

Flags :
F1 : {1}
F2 : {1, 2}
F3 : {1, 3}
F4 : {1, 2, 3}

Basis :
B1 : (F1)-3(F2)+(F3)+(F4)
B2 : (F1)+(F2)-3(F3)+(F4)
B3 : (F1)+(F2)+(F3)-3(F4)

Matrix :
31167/8000000 21381/8000000 817/320000
21381/8000000 86841/16000000 817/320000
817/320000 817/320000 817/160000


--- Term 4 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 2

Flags :
F1 : {0, 1}
F2 : {0, 1, 2}
F3 : {0, 1, 3}
F4 : {0, 1, 2, 3}

Basis :
B1 : 5(F1)-2(F2)-2(F3)-(F4)
B2 : (F1)+2(F2)+2(F3)-5(F4)

Matrix :
4757/4500000 -941/6000000
-941/6000000 10831/18000000


--- 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 : (F1)-(F2)

Matrix :
1073825081843/59202816000000


--- Term 6 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 2

Flags :
F1 : {}
F2 : {2}
F3 : {3}
F4 : {2, 3}

Basis :
B1 : 5(F1)-2(F2)-2(F3)-(F4)
B2 : (F1)+2(F2)+2(F3)-5(F4)

Matrix :
10831/18000000 -722969/4608000000
-722969/4608000000 4757/4500000


--- Term 7 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 2
Matrix dimension   : 1

Flags :
F1 : {2}
F2 : {3}

Basis :
B1 : (F1)-(F2)

Matrix :
9069/500000


--- Term 8 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 11

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  : (F4)+(F6)
B4  : (F7)
B5  : (F8)
B6  : (F9)
B7  : (F10)
B8  : (F11)+(F13)
B9  : (F3)+(F5)-(F12)-(F14)
B10 : (F15)
B11 : (F16)

Matrix :
154941/500000 39977/1000000 13767/500000 -135933/1000000 -6489/250000 -321/1000000 -10861/1000000 -2871/62500 -17771/2000000 -129691/1000000 -27713/1000000
39977/1000000 15907/50000 -403/250000 -80901/1000000 -90673/1000000 -17917/1000000 -2049/200000 -26039/1000000 -463/20000 -5067/62500 -4729/50000
13767/500000 -403/250000 249233/1000000 -9337/250000 -57/5000 -1557/100000 -11481/200000 -92927/1000000 -8261/250000 -16157/500000 6063/1000000
-135933/1000000 -80901/1000000 -9337/250000 146933/500000 -6237/250000 -70829/1000000 -41819/1000000 28647/1000000 -657/20000 66053/1000000 -9233/500000
-6489/250000 -90673/1000000 -57/5000 -6237/250000 33609/50000 -6427/125000 -143609/1000000 -35813/1000000 15127/500000 -21321/1000000 -27819/1000000
-321/1000000 -17917/1000000 -1557/100000 -70829/1000000 -6427/125000 613559/1000000 -15193/1000000 -19457/1000000 -701/125000 -106569/1000000 -4599/40000
-10861/1000000 -2049/200000 -11481/200000 -41819/1000000 -143609/1000000 -15193/1000000 76001/100000 583/40000 -33169/2000000 -63257/1000000 -42531/250000
-2871/62500 -26039/1000000 -92927/1000000 28647/1000000 -35813/1000000 -19457/1000000 583/40000 61303/250000 -119537/2000000 20701/1000000 -7019/125000
-17771/2000000 -463/20000 -8261/250000 -657/20000 15127/500000 -701/125000 -33169/2000000 -119537/2000000 33987/125000 -401/20000 30339/1000000
-129691/1000000 -5067/62500 -16157/500000 66053/1000000 -21321/1000000 -106569/1000000 -63257/1000000 20701/1000000 -401/20000 305731/1000000 371/200000
-27713/1000000 -4729/50000 6063/1000000 -9233/500000 -27819/1000000 -4599/40000 -42531/250000 -7019/125000 30339/1000000 371/200000 711127/1000000


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

Matrix :
130359/200000 27769/250000 188459/1000000 8369/250000
27769/250000 591039/1000000 14249/250000 4143/62500
188459/1000000 14249/250000 615509/1000000 -1389/62500
8369/250000 4143/62500 -1389/62500 1020451/250000


--- Term 10 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 9

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 : 5(F4)-2(F6)-2(F11)-(F13)
B4 : (F5)+(F9)
B5 : (F7)+(F10)
B6 : (F8)+(F12)
B7 : (F4)+2(F6)+2(F11)-5(F13)
B8 : (F14)+(F15)
B9 : (F16)

Matrix :
10569/15625 5671/200000 -34693/2000000 27451/1000000 -36501/1000000 -62809/1000000 18953/600000 -55437/500000 -13831/62500
5671/200000 342869/1000000 63193/6000000 -25931/500000 -69067/1000000 -21901/500000 93149/6000000 -54137/500000 -62809/1000000
-34693/2000000 63193/6000000 248647/9000000 -47891/3000000 -34079/3000000 63193/6000000 -5527/1800000 -47891/3000000 -34693/2000000
27451/1000000 -25931/500000 -47891/3000000 4003/12500 -23003/1000000 -54137/500000 -59023/6000000 -4661/100000 -55437/500000
-36501/1000000 -69067/1000000 -34079/3000000 -23003/1000000 273277/1000000 -69067/1000000 -34493/6000000 -23003/1000000 -36501/1000000
-62809/1000000 -21901/500000 63193/6000000 -54137/500000 -69067/1000000 342869/1000000 93149/6000000 -25931/500000 5671/200000
18953/600000 93149/6000000 -5527/1800000 -59023/6000000 -34493/6000000 93149/6000000 276373/9000000 -59023/6000000 18953/600000
-55437/500000 -54137/500000 -47891/3000000 -4661/100000 -23003/1000000 -25931/500000 -59023/6000000 4003/12500 27451/1000000
-13831/62500 -62809/1000000 -34693/2000000 -55437/500000 -36501/1000000 5671/200000 18953/600000 27451/1000000 10569/15625


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

Matrix :
499633/1000000 8381/500000 12747/200000 -7541/125000 26873/1000000 76729/1000000
8381/500000 516527/1000000 41009/1000000 349/6250 76729/1000000 5359/250000
12747/200000 41009/1000000 3774269/1000000 0/1 12747/200000 41009/1000000
-7541/125000 349/6250 0/1 54413/100000 7541/125000 -349/6250
26873/1000000 76729/1000000 12747/200000 7541/125000 499633/1000000 8381/500000
76729/1000000 5359/250000 41009/1000000 -349/6250 8381/500000 516527/1000000


--- Term 12 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 8

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 : (F2)+(F9)
B2 : (F3)+(F5)
B3 : (F4)+(F6)+(F11)+(F13)
B4 : (F1)-3(F7)+(F10)+(F16)
B5 : (F8)+(F15)
B6 : (F1)+(F7)-3(F10)+(F16)
B7 : (F12)+(F14)
B8 : (F1)+(F7)+(F10)-3(F16)

Matrix :
66401/1000000 -1153/125000 -3007/250000 21807/4000000 -8473/200000 16283/4000000 -3251/1000000 -731/200000
-1153/125000 511/2500 -20569/1000000 -28959/4000000 -307/200000 -2697/4000000 -8473/200000 -251/80000
-3007/250000 -20569/1000000 61369/1000000 -3193/4000000 -20569/1000000 1891/2000000 -3007/250000 0/1
21807/4000000 -28959/4000000 -3193/4000000 182093/2000000 -16409/4000000 757717/16000000 9107/1000000 704973/16000000
-8473/200000 -307/200000 -20569/1000000 -16409/4000000 511/2500 9853/4000000 -1153/125000 251/80000
16283/4000000 -2697/4000000 1891/2000000 757717/16000000 9853/4000000 642659/16000000 30903/4000000 704973/16000000
-3251/1000000 -8473/200000 -3007/250000 9107/1000000 -1153/125000 30903/4000000 66401/1000000 731/200000
-731/200000 -251/80000 0/1 704973/16000000 251/80000 704973/16000000 731/200000 704973/8000000


--- 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 : (F1)-(F7)
B2 : (F2)-(F4)
B3 : (F3)-(F5)
B4 : (F3)-(F8)
B5 : (F3)-(F10)
B6 : (F6)-(F12)
B7 : (F9)-(F11)

Matrix :
8057/40000 0/1 -28353/1000000 28353/1000000 28353/1000000 -5217/500000 0/1
0/1 84083/200000 -1629/1000000 1629/1000000 -1629/1000000 0/1 -5217/500000
-28353/1000000 -1629/1000000 15321/25000 -19473/125000 -228527/1000000 1629/1000000 28353/1000000
28353/1000000 1629/1000000 -19473/125000 15321/25000 -228527/1000000 -1629/1000000 -28353/1000000
28353/1000000 -1629/1000000 -228527/1000000 -228527/1000000 15321/25000 -1629/1000000 28353/1000000
-5217/500000 0/1 1629/1000000 -1629/1000000 -1629/1000000 84083/200000 0/1
0/1 -5217/500000 28353/1000000 -28353/1000000 28353/1000000 0/1 8057/40000


--- Term 14 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 11

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  : (F4)+(F6)
B4  : (F7)
B5  : (F8)
B6  : (F9)
B7  : (F10)
B8  : (F11)+(F13)
B9  : (F3)+(F5)-(F12)-(F14)
B10 : (F15)
B11 : (F16)

Matrix :
711127/1000000 -27819/1000000 6063/1000000 -42531/250000 -4729/50000 371/200000 -9233/500000 -7019/125000 -30339/1000000 -4599/40000 -27713/1000000
-27819/1000000 33609/50000 -57/5000 -143609/1000000 -90673/1000000 -21321/1000000 -6237/250000 -35813/1000000 -15127/500000 -6427/125000 -6489/250000
6063/1000000 -57/5000 249233/1000000 -11481/200000 -403/250000 -16157/500000 -9337/250000 -92927/1000000 8261/250000 -1557/100000 13767/500000
-42531/250000 -143609/1000000 -11481/200000 76001/100000 -2049/200000 -63257/1000000 -41819/1000000 583/40000 33169/2000000 -15193/1000000 -10861/1000000
-4729/50000 -90673/1000000 -403/250000 -2049/200000 15907/50000 -5067/62500 -80901/1000000 -26039/1000000 463/20000 -17917/1000000 39977/1000000
371/200000 -21321/1000000 -16157/500000 -63257/1000000 -5067/62500 305731/1000000 66053/1000000 20701/1000000 401/20000 -106569/1000000 -129691/1000000
-9233/500000 -6237/250000 -9337/250000 -41819/1000000 -80901/1000000 66053/1000000 146933/500000 28647/1000000 657/20000 -70829/1000000 -135933/1000000
-7019/125000 -35813/1000000 -92927/1000000 583/40000 -26039/1000000 20701/1000000 28647/1000000 61303/250000 119537/2000000 -19457/1000000 -2871/62500
-30339/1000000 -15127/500000 8261/250000 33169/2000000 463/20000 401/20000 657/20000 119537/2000000 33987/125000 701/125000 17771/2000000
-4599/40000 -6427/125000 -1557/100000 -15193/1000000 -17917/1000000 -106569/1000000 -70829/1000000 -19457/1000000 701/125000 613559/1000000 -321/1000000
-27713/1000000 -6489/250000 13767/500000 -10861/1000000 39977/1000000 -129691/1000000 -135933/1000000 -2871/62500 17771/2000000 -321/1000000 154941/500000


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

Matrix :
1020451/250000 4143/62500 -1389/62500 8369/250000
4143/62500 591039/1000000 14249/250000 27769/250000
-1389/62500 14249/250000 615509/1000000 188459/1000000
8369/250000 27769/250000 188459/1000000 130359/200000


--- Term 16 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 5

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 : 5(F1)-2(F7)-2(F10)-(F16)
B2 : (F2)+(F3)+(F5)+(F9)
B3 : (F4)+(F6)+(F11)+(F13)
B4 : (F8)+(F12)+(F14)+(F15)
B5 : (F1)+2(F7)+2(F10)-5(F16)

Matrix :
515693/36000000 7189/3000000 -1497/1000000 637/1500000 -16777/7200000
7189/3000000 78557/1000000 -2703/200000 -8763/500000 1633/1500000
-1497/1000000 -2703/200000 45093/1000000 -8657/1000000 697/500000
637/1500000 -8763/500000 -8657/1000000 6341/250000 449/400000
-16777/7200000 1633/1500000 697/500000 449/400000 79703/36000000


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

Matrix :
415483/1000000 -212881/1000000 -101301/1000000 -2373/250000 2373/250000 -2373/250000 131/20000 -10583/500000 -11227/1000000 16197/1000000
-212881/1000000 415483/1000000 -101301/1000000 2373/250000 -2373/250000 2373/250000 131/20000 -11227/1000000 -10583/500000 16197/1000000
-101301/1000000 -101301/1000000 415483/1000000 -2373/250000 2373/250000 2373/250000 -131/20000 16197/1000000 16197/1000000 -10583/500000
-2373/250000 2373/250000 -2373/250000 179177/500000 -142283/1000000 -21607/200000 0/1 -707/200000 707/200000 -707/200000
2373/250000 -2373/250000 2373/250000 -142283/1000000 179177/500000 -21607/200000 0/1 707/200000 -707/200000 707/200000
-2373/250000 2373/250000 2373/250000 -21607/200000 -21607/200000 179177/500000 0/1 -707/200000 707/200000 707/200000
131/20000 131/20000 -131/20000 0/1 0/1 0/1 30789/100000 -3323/1000000 -3323/1000000 3323/1000000
-10583/500000 -11227/1000000 16197/1000000 -707/200000 707/200000 -707/200000 -3323/1000000 16837/100000 -49743/500000 -34441/1000000
-11227/1000000 -10583/500000 16197/1000000 707/200000 -707/200000 707/200000 -3323/1000000 -49743/500000 16837/100000 -34441/1000000
16197/1000000 16197/1000000 -10583/500000 -707/200000 707/200000 707/200000 3323/1000000 -34441/1000000 -34441/1000000 16837/100000


--- Term 18 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 5

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 : 5(F1)-2(F7)-2(F10)-(F16)
B2 : (F2)+(F3)+(F5)+(F9)
B3 : (F4)+(F6)+(F11)+(F13)
B4 : (F8)+(F12)+(F14)+(F15)
B5 : (F1)+2(F7)+2(F10)-5(F16)

Matrix :
79703/36000000 -449/400000 -697/500000 -1633/1500000 -16777/7200000
-449/400000 6341/250000 -8657/1000000 -8763/500000 -637/1500000
-697/500000 -8657/1000000 45093/1000000 -2703/200000 1497/1000000
-1633/1500000 -8763/500000 -2703/200000 78557/1000000 -7189/3000000
-16777/7200000 -637/1500000 1497/1000000 -7189/3000000 515693/36000000


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

Matrix :
16837/100000 -49743/500000 -34441/1000000 -707/200000 707/200000 -707/200000 3323/1000000 -10583/500000 -11227/1000000 16197/1000000
-49743/500000 16837/100000 -34441/1000000 707/200000 -707/200000 707/200000 3323/1000000 -11227/1000000 -10583/500000 16197/1000000
-34441/1000000 -34441/1000000 16837/100000 -707/200000 707/200000 707/200000 -3323/1000000 16197/1000000 16197/1000000 -10583/500000
-707/200000 707/200000 -707/200000 179177/500000 -142283/1000000 -21607/200000 0/1 -2373/250000 2373/250000 -2373/250000
707/200000 -707/200000 707/200000 -142283/1000000 179177/500000 -21607/200000 0/1 2373/250000 -2373/250000 2373/250000
-707/200000 707/200000 707/200000 -21607/200000 -21607/200000 179177/500000 0/1 -2373/250000 2373/250000 2373/250000
3323/1000000 3323/1000000 -3323/1000000 0/1 0/1 0/1 30789/100000 -131/20000 -131/20000 131/20000
-10583/500000 -11227/1000000 16197/1000000 -2373/250000 2373/250000 -2373/250000 -131/20000 415483/1000000 -212881/1000000 -101301/1000000
-11227/1000000 -10583/500000 16197/1000000 2373/250000 -2373/250000 2373/250000 -131/20000 -212881/1000000 415483/1000000 -101301/1000000
16197/1000000 16197/1000000 -10583/500000 -2373/250000 2373/250000 2373/250000 131/20000 -101301/1000000 -101301/1000000 415483/1000000

