#Density : 27/64

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {8, 9, 10, 11, 12, 13, 14, 15}
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 : (F1)
B2 : 41(F2)-3(F3)-27(F6)
B3 : 2(F2)-39(F3)+3(F6)
B4 : (F4)
B5 : (F5)

Matrix :
333197/1000000 -71553/29500000 32139/7375000 -16211/1000000 -20469/500000
-71553/29500000 14323096987/112784400000000 -60087913/4177200000000 -98961/59000000 93473/59000000
32139/7375000 -60087913/4177200000000 189282211/1392400000000 3231/2950000 -127047/118000000
-16211/1000000 -98961/59000000 3231/2950000 29093/250000 -102861/1000000
-20469/500000 93473/59000000 -127047/118000000 -102861/1000000 95207/500000


--- 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 : (F2)
B2 : (F3)
B3 : 27(F1)-41(F4)+3(F5)
B4 : 3(F1)+2(F4)-39(F5)
B5 : (F6)

Matrix :
29093/250000 -102861/1000000 98961/59000000 3231/2950000 -16211/1000000
-102861/1000000 95207/500000 -93473/59000000 -127047/118000000 -20469/500000
98961/59000000 -93473/59000000 3580777769/28196100000000 100143/6962000000 71553/29500000
3231/2950000 -127047/118000000 100143/6962000000 236601/1740500000 32139/7375000
-16211/1000000 -20469/500000 71553/29500000 32139/7375000 333197/1000000


--- 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)
B2 : 3(F2)-(F3)
B3 : (F4)

Matrix :
50803/500000 -111177/10000000 -51503/1000000
-111177/10000000 48699/5000000 -111177/10000000
-51503/1000000 -111177/10000000 50803/500000


--- 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 : 3(F1)-(F4)
B2 : (F2)+(F3)

Matrix :
1590561/100000000 -78639/10000000
-78639/10000000 8169/500000


--- 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 :
73811/1000000


--- 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 : (F2)+(F3)
B2 : (F1)-3(F4)

Matrix :
8169/500000 78639/10000000
78639/10000000 1590561/100000000


--- 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 :
73811/1000000


--- 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 :
1420411/1000000 54943/500000 -42773/1000000 43201/500000 -678763/1000000 19793/1000000 131053/1000000 -859/20000 -9643/50000 -3867/200000 -168049/250000 2147/100000
54943/500000 788341/500000 -93013/1000000 5029/250000 -2529/8000 -253851/500000 -41831/250000 -7969/250000 -10997/100000 -1939/500000 -146679/500000 -105629/250000
-42773/1000000 -93013/1000000 124853/250000 -173953/1000000 -20643/500000 8051/250000 -23019/1000000 -2963/250000 -146639/1000000 -96453/500000 -33307/1000000 53481/1000000
43201/500000 5029/250000 -173953/1000000 1198859/1000000 -159287/1000000 -8187/1000000 -24289/500000 -162703/1000000 -365073/1000000 -23457/100000 -118093/1000000 30689/1000000
-678763/1000000 -2529/8000 -20643/500000 -159287/1000000 22641/15625 -53339/250000 -43487/100000 -12539/62500 101257/1000000 16089/250000 183847/500000 -100421/500000
19793/1000000 -253851/500000 8051/250000 -8187/1000000 -53339/250000 1663459/500000 -20999/250000 -527859/1000000 -32761/250000 -305999/1000000 -220473/1000000 -9877/100000
131053/1000000 -41831/250000 -23019/1000000 -24289/500000 -43487/100000 -20999/250000 1398831/500000 -56807/200000 -3833/250000 -182199/1000000 -75793/125000 -259699/1000000
-859/20000 -7969/250000 -2963/250000 -162703/1000000 -12539/62500 -527859/1000000 -56807/200000 2962537/1000000 16331/500000 -51267/1000000 -146117/1000000 -638713/1000000
-9643/50000 -10997/100000 -146639/1000000 -365073/1000000 101257/1000000 -32761/250000 -3833/250000 16331/500000 242059/200000 -140987/500000 609/8000 -194359/1000000
-3867/200000 -1939/500000 -96453/500000 -23457/100000 16089/250000 -305999/1000000 -182199/1000000 -51267/1000000 -140987/500000 908811/500000 11797/500000 -1339/5000
-168049/250000 -146679/500000 -33307/1000000 -118093/1000000 183847/500000 -220473/1000000 -75793/125000 -146117/1000000 609/8000 11797/500000 302639/200000 -36543/250000
2147/100000 -105629/250000 53481/1000000 30689/1000000 -100421/500000 -9877/100000 -259699/1000000 -638713/1000000 -194359/1000000 -1339/5000 -36543/250000 814129/250000


--- 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 :
1025611/500000 52639/62500 70109/100000 -8237/100000
52639/62500 2761079/1000000 47903/100000 292233/1000000
70109/100000 47903/100000 3204993/1000000 47603/250000
-8237/100000 292233/1000000 47603/250000 4844023/1000000


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

Matrix :
1397377/500000 531/10000 -364821/2500000 44163/250000 -9981/125000 -96599/1000000 -65593/200000 -17599/50000 -1102007/1000000
531/10000 1591849/1000000 546633/5000000 -250853/1000000 -119189/500000 -17603/62500 -23229/125000 -487611/1000000 -65593/200000
-364821/2500000 546633/5000000 921087/2500000 -68631/312500 -191457/5000000 -60573/625000 546633/5000000 -68631/312500 -364821/2500000
44163/250000 -250853/1000000 -68631/312500 62257/40000 -27299/125000 -28839/500000 -487611/1000000 -33529/500000 -17599/50000
-9981/125000 -119189/500000 -191457/5000000 -27299/125000 1919761/1000000 -164781/1000000 -119189/500000 -27299/125000 -9981/125000
-96599/1000000 -17603/62500 -60573/625000 -28839/500000 -164781/1000000 1179127/1000000 -17603/62500 -28839/500000 -96599/1000000
-65593/200000 -23229/125000 546633/5000000 -487611/1000000 -119189/500000 -17603/62500 1591849/1000000 -250853/1000000 531/10000
-17599/50000 -487611/1000000 -68631/312500 -33529/500000 -27299/125000 -28839/500000 -250853/1000000 62257/40000 44163/250000
-1102007/1000000 -65593/200000 -364821/2500000 -17599/50000 -9981/125000 -96599/1000000 531/10000 44163/250000 1397377/500000


--- 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 :
2211687/1000000 15823/125000 67173/200000 -209879/1000000 52029/1000000 70713/250000
15823/125000 2373227/1000000 16577/50000 5013/20000 70713/250000 -13931/500000
67173/200000 16577/50000 2041031/500000 0/1 67173/200000 16577/50000
-209879/1000000 5013/20000 0/1 2528439/1000000 209879/1000000 -5013/20000
52029/1000000 70713/250000 67173/200000 209879/1000000 2211687/1000000 15823/125000
70713/250000 -13931/500000 16577/50000 -5013/20000 15823/125000 2373227/1000000


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

Matrix :
290411/250000 -4201/62500 -50451/500000 -1729/250000 -7563/125000 106587/2500000 -17777/500000 -10509/62500
-4201/62500 320649/1000000 -12297/500000 -13831/250000 -80609/500000 144639/10000000 -7969/1000000 -17777/500000
-50451/500000 -12297/500000 172727/200000 -84781/1000000 371/40000 27747/2000000 -80609/500000 -7563/125000
-1729/250000 -13831/250000 -84781/1000000 69439/250000 -84781/1000000 6231/1250000 -13831/250000 -1729/250000
-7563/125000 -80609/500000 371/40000 -84781/1000000 172727/200000 27747/2000000 -12297/500000 -50451/500000
106587/2500000 144639/10000000 27747/2000000 6231/1250000 27747/2000000 3855681/100000000 144639/10000000 106587/2500000
-17777/500000 -7969/1000000 -80609/500000 -13831/250000 -12297/500000 144639/10000000 320649/1000000 -4201/62500
-10509/62500 -17777/500000 -7563/125000 -1729/250000 -50451/500000 106587/2500000 -4201/62500 290411/250000


--- 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 :
930751/1000000 0/1 -75057/500000 150113/1000000 150113/1000000 -48441/1000000 0/1
0/1 1548207/1000000 -701/20000 701/20000 -701/20000 0/1 -48441/1000000
-75057/500000 -701/20000 292781/100000 -821773/1000000 -52651/50000 701/20000 150113/1000000
150113/1000000 701/20000 -821773/1000000 292781/100000 -52651/50000 -701/20000 -75057/500000
150113/1000000 -701/20000 -52651/50000 -52651/50000 2927811/1000000 -701/20000 150113/1000000
-48441/1000000 0/1 701/20000 -701/20000 -701/20000 1548207/1000000 0/1
0/1 -48441/1000000 150113/1000000 -75057/500000 150113/1000000 0/1 930751/1000000


--- 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 :
814129/250000 -9877/100000 -1339/5000 30689/1000000 -638713/1000000 -105629/250000 -36543/250000 -100421/500000 -194359/1000000 53481/1000000 -259699/1000000 2147/100000
-9877/100000 1663459/500000 -305999/1000000 -8187/1000000 -527859/1000000 -253851/500000 -220473/1000000 -53339/250000 -32761/250000 8051/250000 -20999/250000 19793/1000000
-1339/5000 -305999/1000000 908811/500000 -23457/100000 -51267/1000000 -1939/500000 11797/500000 16089/250000 -140987/500000 -96453/500000 -182199/1000000 -3867/200000
30689/1000000 -8187/1000000 -23457/100000 1198859/1000000 -162703/1000000 5029/250000 -118093/1000000 -159287/1000000 -365073/1000000 -173953/1000000 -24289/500000 43201/500000
-638713/1000000 -527859/1000000 -51267/1000000 -162703/1000000 2962537/1000000 -7969/250000 -146117/1000000 -12539/62500 16331/500000 -2963/250000 -56807/200000 -859/20000
-105629/250000 -253851/500000 -1939/500000 5029/250000 -7969/250000 788341/500000 -146679/500000 -2529/8000 -10997/100000 -93013/1000000 -41831/250000 54943/500000
-36543/250000 -220473/1000000 11797/500000 -118093/1000000 -146117/1000000 -146679/500000 302639/200000 183847/500000 609/8000 -33307/1000000 -75793/125000 -168049/250000
-100421/500000 -53339/250000 16089/250000 -159287/1000000 -12539/62500 -2529/8000 183847/500000 22641/15625 101257/1000000 -20643/500000 -43487/100000 -678763/1000000
-194359/1000000 -32761/250000 -140987/500000 -365073/1000000 16331/500000 -10997/100000 609/8000 101257/1000000 242059/200000 -146639/1000000 -3833/250000 -9643/50000
53481/1000000 8051/250000 -96453/500000 -173953/1000000 -2963/250000 -93013/1000000 -33307/1000000 -20643/500000 -146639/1000000 124853/250000 -23019/1000000 -42773/1000000
-259699/1000000 -20999/250000 -182199/1000000 -24289/500000 -56807/200000 -41831/250000 -75793/125000 -43487/100000 -3833/250000 -23019/1000000 1398831/500000 131053/1000000
2147/100000 19793/1000000 -3867/200000 43201/500000 -859/20000 54943/500000 -168049/250000 -678763/1000000 -9643/50000 -42773/1000000 131053/1000000 1420411/1000000


--- 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 :
4844023/1000000 292233/1000000 47603/250000 -8237/100000
292233/1000000 2761079/1000000 47903/100000 52639/62500
47603/250000 47903/100000 3204993/1000000 70109/100000
-8237/100000 52639/62500 70109/100000 1025611/500000


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

Matrix :
15491799/50000000 -37611/2500000 6111/1250000 -519147/10000000 163953/5000000
-37611/2500000 375041/1000000 -62519/1000000 -22667/250000 -18661/250000
6111/1250000 -62519/1000000 9469/50000 -909/100000 -9797/250000
-519147/10000000 -22667/250000 -909/100000 215841/500000 -59251/1000000
163953/5000000 -18661/250000 -9797/250000 -59251/1000000 123399/1000000


--- 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 :
1944267/1000000 -490531/500000 -481603/1000000 -3931/125000 3931/125000 -3931/125000 4261/125000 -1931/20000 -22969/500000 17811/250000
-490531/500000 1944267/1000000 -481603/1000000 3931/125000 -3931/125000 3931/125000 4261/125000 -22969/500000 -1931/20000 17811/250000
-481603/1000000 -481603/1000000 1944267/1000000 -3931/125000 3931/125000 3931/125000 -4261/125000 17811/250000 17811/250000 -1931/20000
-3931/125000 3931/125000 -3931/125000 765407/500000 -719491/1000000 -405661/1000000 0/1 -49229/1000000 49229/1000000 -49229/1000000
3931/125000 -3931/125000 3931/125000 -719491/1000000 765407/500000 -405661/1000000 0/1 49229/1000000 -49229/1000000 49229/1000000
-3931/125000 3931/125000 3931/125000 -405661/1000000 -405661/1000000 765407/500000 0/1 -49229/1000000 49229/1000000 49229/1000000
4261/125000 4261/125000 -4261/125000 0/1 0/1 0/1 746309/1000000 -15659/1000000 -15659/1000000 15659/1000000
-1931/20000 -22969/500000 17811/250000 -49229/1000000 49229/1000000 -49229/1000000 -15659/1000000 151933/200000 -452237/1000000 -153713/1000000
-22969/500000 -1931/20000 17811/250000 49229/1000000 -49229/1000000 49229/1000000 -15659/1000000 -452237/1000000 151933/200000 -153713/1000000
17811/250000 17811/250000 -1931/20000 -49229/1000000 49229/1000000 49229/1000000 15659/1000000 -153713/1000000 -153713/1000000 151933/200000


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

Matrix :
123399/1000000 -9797/250000 -59251/1000000 -18661/250000 -163953/5000000
-9797/250000 9469/50000 -909/100000 -62519/1000000 -6111/1250000
-59251/1000000 -909/100000 215841/500000 -22667/250000 519147/10000000
-18661/250000 -62519/1000000 -22667/250000 375041/1000000 37611/2500000
-163953/5000000 -6111/1250000 519147/10000000 37611/2500000 15491799/50000000


--- 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 :
151933/200000 -452237/1000000 -153713/1000000 -49229/1000000 49229/1000000 -49229/1000000 15659/1000000 -1931/20000 -22969/500000 17811/250000
-452237/1000000 151933/200000 -153713/1000000 49229/1000000 -49229/1000000 49229/1000000 15659/1000000 -22969/500000 -1931/20000 17811/250000
-153713/1000000 -153713/1000000 151933/200000 -49229/1000000 49229/1000000 49229/1000000 -15659/1000000 17811/250000 17811/250000 -1931/20000
-49229/1000000 49229/1000000 -49229/1000000 765407/500000 -719491/1000000 -405661/1000000 0/1 -3931/125000 3931/125000 -3931/125000
49229/1000000 -49229/1000000 49229/1000000 -719491/1000000 765407/500000 -405661/1000000 0/1 3931/125000 -3931/125000 3931/125000
-49229/1000000 49229/1000000 49229/1000000 -405661/1000000 -405661/1000000 765407/500000 0/1 -3931/125000 3931/125000 3931/125000
15659/1000000 15659/1000000 -15659/1000000 0/1 0/1 0/1 746309/1000000 -4261/125000 -4261/125000 4261/125000
-1931/20000 -22969/500000 17811/250000 -3931/125000 3931/125000 -3931/125000 -4261/125000 1944267/1000000 -490531/500000 -481603/1000000
-22969/500000 -1931/20000 17811/250000 3931/125000 -3931/125000 3931/125000 -4261/125000 -490531/500000 1944267/1000000 -481603/1000000
17811/250000 17811/250000 -1931/20000 -3931/125000 3931/125000 3931/125000 4261/125000 -481603/1000000 -481603/1000000 1944267/1000000

