#Density : 4/9

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {4, 5, 6, 7}
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 : (F2)-8(F3)+(F6)
B3 : (F4)
B4 : (F5)
B5 : 16(F2)+4(F3)-17(F6)

Matrix :
62589/200000 16513/825000 -9407/250000 -53981/1000000 -16441/4125000
16513/825000 256134089/72600000000 1021/375000 -47851/8250000 163/1089000
-9407/250000 1021/375000 2227/20000 -23233/200000 -431/150000
-53981/1000000 -47851/8250000 -23233/200000 236429/1000000 10321/2062500
-16441/4125000 163/1089000 -431/150000 10321/2062500 5226541/8712000000


--- 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 : 16(F1)-17(F4)+4(F5)
B4 : (F1)+(F4)-8(F5)
B5 : (F6)

Matrix :
2227/20000 -23233/200000 431/150000 1399/250000 -9407/250000
-23233/200000 236429/1000000 -10321/2062500 -17827/1650000 -53981/1000000
431/150000 -10321/2062500 8710901/14520000000 10895979/24200000000 16441/4125000
1399/250000 -17827/1650000 10895979/24200000000 260581/68062500 16501/687500
-9407/250000 -53981/1000000 16441/4125000 16501/687500 62589/200000


--- 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 : 2(F2)-(F3)
B3 : (F4)

Matrix :
95821/1000000 -34479/2500000 -53763/1000000
-34479/2500000 138821/6250000 -34479/2500000
-53763/1000000 -34479/2500000 95821/1000000


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

Matrix :
255331/6250000 -15593/2500000
-15593/2500000 2749/200000


--- 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 :
3979/50000


--- 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)-2(F4)

Matrix :
2749/200000 15593/2500000
15593/2500000 255331/6250000


--- 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 :
3979/50000


--- 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 :
42249/31250 197933/1000000 -4459/500000 -13607/200000 -571441/1000000 -657409/1000000 18623/100000 15191/100000 -51821/1000000 16751/1000000 -13533/25000 -423529/1000000
197933/1000000 840673/500000 -94003/1000000 -10589/500000 -209021/500000 -214497/500000 -9667/200000 -21599/500000 -11319/125000 -29919/1000000 -185821/500000 -45581/125000
-4459/500000 -94003/1000000 572769/1000000 -9001/31250 -53401/1000000 -32889/1000000 22033/500000 14697/1000000 -90153/1000000 -235481/1000000 -45947/1000000 -15041/500000
-13607/200000 -10589/500000 -9001/31250 1232921/1000000 -90209/1000000 33201/500000 -19819/250000 -106661/1000000 -334869/1000000 -64249/500000 -67109/1000000 1759/20000
-571441/1000000 -209021/500000 -53401/1000000 -90209/1000000 1423677/1000000 54591/1000000 -32411/100000 -73859/250000 23891/500000 4367/100000 239127/1000000 -897/100000
-657409/1000000 -214497/500000 -32889/1000000 33201/500000 54591/1000000 180551/50000 -139141/500000 -442099/1000000 -13459/100000 -24203/100000 -4427/200000 23153/1000000
18623/100000 -9667/200000 22033/500000 -19819/250000 -32411/100000 -139141/500000 1827223/1000000 -260777/1000000 -21727/1000000 -38333/200000 -176433/500000 -36353/100000
15191/100000 -21599/500000 14697/1000000 -106661/1000000 -73859/250000 -442099/1000000 -260777/1000000 2481583/1000000 -6527/200000 -60453/1000000 -12837/62500 -489501/1000000
-51821/1000000 -11319/125000 -90153/1000000 -334869/1000000 23891/500000 -13459/100000 -21727/1000000 -6527/200000 540569/500000 -75803/250000 34599/1000000 -197929/1000000
16751/1000000 -29919/1000000 -235481/1000000 -64249/500000 4367/100000 -24203/100000 -38333/200000 -60453/1000000 -75803/250000 859719/500000 697/250000 -46379/250000
-13533/25000 -185821/500000 -45947/1000000 -67109/1000000 239127/1000000 -4427/200000 -176433/500000 -12837/62500 34599/1000000 697/250000 1448927/1000000 -12423/500000
-423529/1000000 -45581/125000 -15041/500000 1759/20000 -897/100000 23153/1000000 -36353/100000 -489501/1000000 -197929/1000000 -46379/250000 -12423/500000 1669333/500000


--- 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 :
568969/250000 716787/500000 668021/1000000 13601/40000
716787/500000 3124787/1000000 690047/1000000 216607/500000
668021/1000000 690047/1000000 2296347/1000000 128827/1000000
13601/40000 216607/500000 128827/1000000 4062973/1000000


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

Matrix :
3062419/1000000 47987/200000 -108697/2500000 14823/50000 -75279/1000000 -26163/250000 -466509/1000000 -294593/500000 -1631819/1000000
47987/200000 879011/500000 841073/2500000 -48907/200000 -79167/250000 -124633/500000 -133523/1000000 -699713/1000000 -466509/1000000
-108697/2500000 841073/2500000 2847081/3125000 -1003393/2500000 -624751/2500000 85339/2500000 841073/2500000 -1003393/2500000 -108697/2500000
14823/50000 -48907/200000 -1003393/2500000 1728491/1000000 -127761/1000000 -7543/62500 -699713/1000000 -43217/500000 -294593/500000
-75279/1000000 -79167/250000 -624751/2500000 -127761/1000000 962309/500000 -951/5000 -79167/250000 -127761/1000000 -75279/1000000
-26163/250000 -124633/500000 85339/2500000 -7543/62500 -951/5000 577489/500000 -124633/500000 -7543/62500 -26163/250000
-466509/1000000 -133523/1000000 841073/2500000 -699713/1000000 -79167/250000 -124633/500000 879011/500000 -48907/200000 47987/200000
-294593/500000 -699713/1000000 -1003393/2500000 -43217/500000 -127761/1000000 -7543/62500 -48907/200000 1728491/1000000 14823/50000
-1631819/1000000 -466509/1000000 -108697/2500000 -294593/500000 -75279/1000000 -26163/250000 47987/200000 14823/50000 3062419/1000000


--- 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 :
1098821/500000 27527/200000 35607/125000 -33827/200000 6357/250000 224167/1000000
27527/200000 104173/50000 142359/500000 -29561/1000000 224167/1000000 149117/1000000
35607/125000 142359/500000 1976323/500000 0/1 35607/125000 142359/500000
-33827/200000 -29561/1000000 0/1 2056709/1000000 33827/200000 29561/1000000
6357/250000 224167/1000000 35607/125000 33827/200000 1098821/500000 27527/200000
224167/1000000 149117/1000000 142359/500000 29561/1000000 27527/200000 104173/50000


--- 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)-2(F10)
B7 : (F12)+(F14)
B8 : (F16)

Matrix :
116239/100000 -81311/1000000 -82117/1000000 -6029/1000000 -47333/1000000 76471/1250000 -18853/500000 -24793/125000
-81311/1000000 41167/125000 -25359/1000000 -51881/1000000 -72089/500000 1741/100000 -12567/1000000 -18853/500000
-82117/1000000 -25359/1000000 376779/500000 -14699/200000 -361/250000 48873/2500000 -72089/500000 -47333/1000000
-6029/1000000 -51881/1000000 -14699/200000 124177/500000 -14699/200000 18127/2500000 -51881/1000000 -6029/1000000
-47333/1000000 -72089/500000 -361/250000 -14699/200000 376779/500000 48873/2500000 -25359/1000000 -82117/1000000
76471/1250000 1741/100000 48873/2500000 18127/2500000 48873/2500000 544407/6250000 1741/100000 76471/1250000
-18853/500000 -12567/1000000 -72089/500000 -51881/1000000 -25359/1000000 1741/100000 41167/125000 -81311/1000000
-24793/125000 -18853/500000 -47333/1000000 -6029/1000000 -82117/1000000 76471/1250000 -81311/1000000 116239/100000


--- 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 :
486723/500000 0/1 -129143/1000000 129143/1000000 129143/1000000 -51621/1000000 0/1
0/1 596217/500000 -73833/1000000 73833/1000000 -73833/1000000 0/1 -51621/1000000
-129143/1000000 -73833/1000000 509333/250000 -8351/12500 -342313/500000 73833/1000000 129143/1000000
129143/1000000 73833/1000000 -8351/12500 509333/250000 -342313/500000 -73833/1000000 -129143/1000000
129143/1000000 -73833/1000000 -342313/500000 -342313/500000 509333/250000 -73833/1000000 129143/1000000
-51621/1000000 0/1 73833/1000000 -73833/1000000 -73833/1000000 596217/500000 0/1
0/1 -51621/1000000 129143/1000000 -129143/1000000 129143/1000000 0/1 486723/500000


--- 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 :
1669333/500000 23153/1000000 -46379/250000 1759/20000 -489501/1000000 -45581/125000 -12423/500000 -897/100000 -197929/1000000 -15041/500000 -36353/100000 -423529/1000000
23153/1000000 180551/50000 -24203/100000 33201/500000 -442099/1000000 -214497/500000 -4427/200000 54591/1000000 -13459/100000 -32889/1000000 -139141/500000 -657409/1000000
-46379/250000 -24203/100000 859719/500000 -64249/500000 -60453/1000000 -29919/1000000 697/250000 4367/100000 -75803/250000 -235481/1000000 -38333/200000 16751/1000000
1759/20000 33201/500000 -64249/500000 1232921/1000000 -106661/1000000 -10589/500000 -67109/1000000 -90209/1000000 -334869/1000000 -9001/31250 -19819/250000 -13607/200000
-489501/1000000 -442099/1000000 -60453/1000000 -106661/1000000 2481583/1000000 -21599/500000 -12837/62500 -73859/250000 -6527/200000 14697/1000000 -260777/1000000 15191/100000
-45581/125000 -214497/500000 -29919/1000000 -10589/500000 -21599/500000 840673/500000 -185821/500000 -209021/500000 -11319/125000 -94003/1000000 -9667/200000 197933/1000000
-12423/500000 -4427/200000 697/250000 -67109/1000000 -12837/62500 -185821/500000 1448927/1000000 239127/1000000 34599/1000000 -45947/1000000 -176433/500000 -13533/25000
-897/100000 54591/1000000 4367/100000 -90209/1000000 -73859/250000 -209021/500000 239127/1000000 1423677/1000000 23891/500000 -53401/1000000 -32411/100000 -571441/1000000
-197929/1000000 -13459/100000 -75803/250000 -334869/1000000 -6527/200000 -11319/125000 34599/1000000 23891/500000 540569/500000 -90153/1000000 -21727/1000000 -51821/1000000
-15041/500000 -32889/1000000 -235481/1000000 -9001/31250 14697/1000000 -94003/1000000 -45947/1000000 -53401/1000000 -90153/1000000 572769/1000000 22033/500000 -4459/500000
-36353/100000 -139141/500000 -38333/200000 -19819/250000 -260777/1000000 -9667/200000 -176433/500000 -32411/100000 -21727/1000000 22033/500000 1827223/1000000 18623/100000
-423529/1000000 -657409/1000000 16751/1000000 -13607/200000 15191/100000 197933/1000000 -13533/25000 -571441/1000000 -51821/1000000 -4459/500000 18623/100000 42249/31250


--- 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 :
4062973/1000000 216607/500000 128827/1000000 13601/40000
216607/500000 3124787/1000000 690047/1000000 716787/500000
128827/1000000 690047/1000000 2296347/1000000 668021/1000000
13601/40000 716787/500000 668021/1000000 568969/250000


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

Matrix :
144859/625000 43641/625000 93179/2500000 -39791/2500000 -24583/625000
43641/625000 41227/100000 -12267/250000 -49039/500000 -44109/500000
93179/2500000 -12267/250000 94751/500000 -7123/1000000 -25081/500000
-39791/2500000 -49039/500000 -7123/1000000 27933/62500 -27947/500000
-24583/625000 -44109/500000 -25081/500000 -27947/500000 66099/500000


--- 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 :
1026439/500000 -52161/50000 -504829/1000000 -78009/1000000 78009/1000000 -78009/1000000 17413/500000 33923/1000000 -174131/1000000 8763/125000
-52161/50000 1026439/500000 -504829/1000000 78009/1000000 -78009/1000000 78009/1000000 17413/500000 -174131/1000000 33923/1000000 8763/125000
-504829/1000000 -504829/1000000 1026439/500000 -78009/1000000 78009/1000000 78009/1000000 -17413/500000 8763/125000 8763/125000 33923/1000000
-78009/1000000 78009/1000000 -78009/1000000 787113/500000 -859929/1000000 -89287/250000 0/1 -119529/1000000 119529/1000000 -119529/1000000
78009/1000000 -78009/1000000 78009/1000000 -859929/1000000 787113/500000 -89287/250000 0/1 119529/1000000 -119529/1000000 119529/1000000
-78009/1000000 78009/1000000 78009/1000000 -89287/250000 -89287/250000 787113/500000 0/1 -119529/1000000 119529/1000000 119529/1000000
17413/500000 17413/500000 -17413/500000 0/1 0/1 0/1 838357/1000000 -5081/500000 -5081/500000 5081/500000
33923/1000000 -174131/1000000 8763/125000 -119529/1000000 119529/1000000 -119529/1000000 -5081/500000 792141/1000000 -47493/100000 -31721/200000
-174131/1000000 33923/1000000 8763/125000 119529/1000000 -119529/1000000 119529/1000000 -5081/500000 -47493/100000 792141/1000000 -31721/200000
8763/125000 8763/125000 33923/1000000 -119529/1000000 119529/1000000 119529/1000000 5081/500000 -31721/200000 -31721/200000 792141/1000000


--- 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)-2(F16)

Matrix :
66099/500000 -25081/500000 -27947/500000 -44109/500000 24583/625000
-25081/500000 94751/500000 -7123/1000000 -12267/250000 -93179/2500000
-27947/500000 -7123/1000000 27933/62500 -49039/500000 39791/2500000
-44109/500000 -12267/250000 -49039/500000 41227/100000 -43641/625000
24583/625000 -93179/2500000 39791/2500000 -43641/625000 144859/625000


--- 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 :
792141/1000000 -47493/100000 -31721/200000 -119529/1000000 119529/1000000 -119529/1000000 5081/500000 33923/1000000 -174131/1000000 8763/125000
-47493/100000 792141/1000000 -31721/200000 119529/1000000 -119529/1000000 119529/1000000 5081/500000 -174131/1000000 33923/1000000 8763/125000
-31721/200000 -31721/200000 792141/1000000 -119529/1000000 119529/1000000 119529/1000000 -5081/500000 8763/125000 8763/125000 33923/1000000
-119529/1000000 119529/1000000 -119529/1000000 787113/500000 -859929/1000000 -89287/250000 0/1 -78009/1000000 78009/1000000 -78009/1000000
119529/1000000 -119529/1000000 119529/1000000 -859929/1000000 787113/500000 -89287/250000 0/1 78009/1000000 -78009/1000000 78009/1000000
-119529/1000000 119529/1000000 119529/1000000 -89287/250000 -89287/250000 787113/500000 0/1 -78009/1000000 78009/1000000 78009/1000000
5081/500000 5081/500000 -5081/500000 0/1 0/1 0/1 838357/1000000 -17413/500000 -17413/500000 17413/500000
33923/1000000 -174131/1000000 8763/125000 -78009/1000000 78009/1000000 -78009/1000000 -17413/500000 1026439/500000 -52161/50000 -504829/1000000
-174131/1000000 33923/1000000 8763/125000 78009/1000000 -78009/1000000 78009/1000000 -17413/500000 -52161/50000 1026439/500000 -504829/1000000
8763/125000 8763/125000 33923/1000000 -78009/1000000 78009/1000000 78009/1000000 17413/500000 -504829/1000000 -504829/1000000 1026439/500000

