#Density : 81/512

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 4, 6, 7, 8, 9, 10, 13}
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 : 3931(F1)-378(F2)-369(F3)-162(F4)-81(F5)-81(F6)
B2 : 123(F1)+574(F2)-777(F3)+246(F4)+123(F5)+123(F6)
B3 : 81(F1)+378(F2)+369(F3)-1844(F4)+81(F5)+81(F6)
B4 : 81(F1)+378(F2)+369(F3)+162(F4)-3931(F5)+81(F6)
B5 : 81(F1)+378(F2)+369(F3)+162(F4)+81(F5)-3931(F6)

Matrix :
41007/8048072000000 3811438446059903858900078309/75564448419807383286302290022400000000 29917/8048072000000 -351/1609614400000 -2927/8048072000000
3811438446059903858900078309/75564448419807383286302290022400000000 34157353301245547418237541/216040239042078002020761600000000 53423094351203137626752249527/1511288968396147665726045800448000000 123/11139200000 82052542594318606225901/8641609561683120080830464000000
29917/8048072000000 53423094351203137626752249527/1511288968396147665726045800448000000 21335048527945767786797900429472548410633469/1192593053657988800565431953781724467305881600000000 2465965231488162123452627263/37782224209903691643151145011200000000 506283508133866722578837867/404087959464210605809103155200000000
-351/1609614400000 123/11139200000 2465965231488162123452627263/37782224209903691643151145011200000000 120979/16096144000000 -9572024180161057561120824046961309493929/4006471624830869430790924816735916463513600000000
-2927/8048072000000 82052542594318606225901/8641609561683120080830464000000 506283508133866722578837867/404087959464210605809103155200000000 -9572024180161057561120824046961309493929/4006471624830869430790924816735916463513600000000 820362980100083299211160567953759712449873/216835100665088872830078537051222630419251200000000


--- 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 : 3931(F1)-162(F2)-81(F3)-378(F4)-369(F5)-81(F6)
B2 : 81(F1)-1844(F2)+81(F3)+378(F4)+369(F5)+81(F6)
B3 : 81(F1)+162(F2)-3931(F3)+378(F4)+369(F5)+81(F6)
B4 : 123(F1)+246(F2)+123(F3)+574(F4)-777(F5)+123(F6)
B5 : 81(F1)+162(F2)+81(F3)+378(F4)+369(F5)-3931(F6)

Matrix :
711117799316548219680022065701890995101/187957928078485232555623633377734352609280000000 -2519/2012018000000 89953535819201852580749685978034080424327/37660833273410172649434693277317614757027840000000 -152829/16096144000000 -2927/8048072000000
-2519/2012018000000 1163708937658560864445834509190331712430357/65050530199526661849023561115366789125775360000000 31/473416000000 71121/2012018000000 -29917/8048072000000
89953535819201852580749685978034080424327/37660833273410172649434693277317614757027840000000 31/473416000000 120979/16096144000000 123/11139200000 351/1609614400000
-152829/16096144000000 71121/2012018000000 123/11139200000 2544903/16096144000000 -201/4024036000000
-2927/8048072000000 -29917/8048072000000 351/1609614400000 -201/4024036000000 41007/8048072000000


--- Term 3 ---

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

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

Basis :
B1 : (F1)-3(F2)+5(F3)+(F4)
B2 : 17(F1)+3(F2)-5(F3)-19(F4)

Matrix :
1127/810000 4519/43200000
4519/43200000 45191/432000000


--- 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 : 21(F1)-29(F2)-29(F3)+9(F4)
B2 : 21(F1)+18(F2)+18(F3)-85(F4)

Matrix :
24631/2209000000 -45784786269/56140409600000000
-45784786269/56140409600000000 11749/4418000000


--- 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 :
453055298936544320531/17119723170369600000000


--- 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 : 85(F1)-18(F2)-18(F3)-21(F4)
B2 : 9(F1)-29(F2)-29(F3)+21(F4)

Matrix :
11749/4418000000 9/11045000
9/11045000 24631/2209000000


--- 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 :
1323/50000


--- 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  : (F3)+(F5)-3(F8)+(F12)+(F14)
B6  : (F9)
B7  : (F10)
B8  : (F11)+(F13)
B9  : 9(F3)+9(F5)+6(F8)-13(F12)-13(F14)
B10 : (F15)
B11 : (F16)

Matrix :
103607/200000 160963/1000000 20517/500000 -11663/62500 165189/5500000 5223/200000 -8999/125000 -4143/31250 -106193/22000000 -23057/125000 -46813/500000
160963/1000000 304469/500000 -22109/500000 -6227/62500 1907559/11000000 24789/1000000 -66361/1000000 -170273/1000000 -338319/22000000 -289089/1000000 -20329/125000
20517/500000 -22109/500000 466403/1000000 -44473/200000 -317907/1100000 -44937/1000000 -211569/1000000 -471/12500 440269/11000000 -80813/1000000 57831/1000000
-11663/62500 -6227/62500 -44473/200000 506203/1000000 2928927/11000000 -63383/500000 60139/500000 -18923/1000000 -56027/1375000 91503/1000000 -2923/50000
165189/5500000 1907559/11000000 -317907/1100000 2928927/11000000 7513533/12100000 1745301/11000000 1660653/5500000 -11751/44000 -10431417/121000000 466293/11000000 -394461/2750000
5223/200000 24789/1000000 -44937/1000000 -63383/500000 1745301/11000000 424381/500000 3369/100000 -117417/1000000 -594131/22000000 -28363/250000 -98253/1000000
-8999/125000 -66361/1000000 -211569/1000000 60139/500000 1660653/5500000 3369/100000 663751/500000 -18499/200000 -144863/2750000 -6303/1000000 -33243/100000
-4143/31250 -170273/1000000 -471/12500 -18923/1000000 -11751/44000 -117417/1000000 -18499/200000 250897/500000 40057/1375000 22427/1000000 8189/1000000
-106193/22000000 -338319/22000000 440269/11000000 -56027/1375000 -10431417/121000000 -594131/22000000 -144863/2750000 40057/1375000 7284663/484000000 -27521/5500000 87369/4400000
-23057/125000 -289089/1000000 -80813/1000000 91503/1000000 466293/11000000 -28363/250000 -6303/1000000 22427/1000000 -27521/5500000 53479/100000 33871/1000000
-46813/500000 -20329/125000 57831/1000000 -2923/50000 -394461/2750000 -98253/1000000 -33243/100000 8189/1000000 87369/4400000 33871/1000000 440251/500000


--- 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 :
1341771/1000000 -20357/500000 856303/1000000 -12321/25000
-20357/500000 803873/1000000 45631/500000 49383/100000
856303/1000000 45631/500000 1313317/1000000 -371859/1000000
-12321/25000 49383/100000 -371859/1000000 1780207/500000


--- Term 10 ---

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

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 : (F5)+(F9)
B4 : 21(F4)-29(F6)-29(F7)-29(F10)-29(F11)+9(F13)
B5 : (F8)+(F12)
B6 : 21(F4)+9(F6)+9(F7)+9(F10)+9(F11)-67(F13)
B7 : (F14)+(F15)
B8 : (F16)

Matrix :
516273/500000 9753/31250 53723/1000000 116301/3800000 127349/500000 226839/38000000 -46813/500000 -38197/1000000
9753/31250 168509/200000 13937/1000000 615303/15200000 63507/200000 567577/76000000 -10253/125000 127349/500000
53723/1000000 13937/1000000 471463/1000000 613797/76000000 -10253/125000 -843/2375000 -2343/40000 -46813/500000
116301/3800000 615303/15200000 613797/76000000 23260737/5776000000 615303/15200000 3365599/5776000000 613797/76000000 116301/3800000
127349/500000 63507/200000 -10253/125000 615303/15200000 168509/200000 567577/76000000 13937/1000000 9753/31250
226839/38000000 567577/76000000 -843/2375000 3365599/5776000000 567577/76000000 1749029/5776000000 -843/2375000 226839/38000000
-46813/500000 -10253/125000 -2343/40000 613797/76000000 13937/1000000 -843/2375000 471463/1000000 53723/1000000
-38197/1000000 127349/500000 -46813/500000 116301/3800000 9753/31250 226839/38000000 53723/1000000 516273/500000


--- 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 :
803889/1000000 7167/500000 -296221/500000 -39917/250000 36679/200000 49267/1000000
7167/500000 874123/1000000 283469/500000 62273/200000 49267/1000000 31813/1000000
-296221/500000 283469/500000 1327889/250000 0/1 -296221/500000 283469/500000
-39917/250000 62273/200000 0/1 638517/250000 39917/250000 -62273/200000
36679/200000 49267/1000000 -296221/500000 39917/250000 803889/1000000 7167/500000
49267/1000000 31813/1000000 283469/500000 -62273/200000 7167/500000 874123/1000000


--- Term 12 ---

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

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 : (F1)+(F4)+(F6)+5(F7)-3(F10)+(F11)+(F13)+(F16)
B4 : (F8)+(F15)
B5 : (F12)+(F14)
B6 : 35(F1)-2(F4)-2(F6)-10(F7)+6(F10)-2(F11)-2(F13)-39(F16)

Matrix :
81339/1000000 -1553/125000 -87809/7400000 -8463/125000 -2461/200000 4493/37000000
-1553/125000 279743/1000000 36883/3700000 -12519/1000000 -8463/125000 -17223/37000000
-87809/7400000 36883/3700000 276411/13690000 17509/1480000 -91403/7400000 164403/273800000
-8463/125000 -12519/1000000 17509/1480000 279743/1000000 -1553/125000 17223/37000000
-2461/200000 -8463/125000 -91403/7400000 -1553/125000 81339/1000000 -4493/37000000
4493/37000000 -17223/37000000 164403/273800000 17223/37000000 -4493/37000000 822017/2738000000


--- Term 13 ---

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

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 : (F5)-(F8)
B4 : (F3)-(F10)
B5 : (F6)-(F12)
B6 : (F9)-(F11)

Matrix :
14463/40000 0/1 361379/2000000 180689/1000000 -98103/1000000 0/1
0/1 763099/1000000 59139/2000000 -29569/1000000 0/1 -98103/1000000
361379/2000000 59139/2000000 6396749/4000000 0/1 -59139/2000000 -361379/2000000
180689/1000000 -29569/1000000 0/1 1599187/1000000 -29569/1000000 180689/1000000
-98103/1000000 0/1 -59139/2000000 -29569/1000000 763099/1000000 0/1
0/1 -98103/1000000 -361379/2000000 180689/1000000 0/1 14463/40000


--- 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  : 3(F2)-(F3)-(F5)-(F12)-(F14)
B3  : (F4)+(F6)
B4  : (F7)
B5  : (F8)
B6  : (F9)
B7  : (F10)
B8  : (F11)+(F13)
B9  : 6(F2)+9(F3)+9(F5)-13(F12)-13(F14)
B10 : (F15)
B11 : (F16)

Matrix :
440251/500000 222867/1000000 57831/1000000 -33243/100000 -20329/125000 33871/1000000 -2923/50000 8189/1000000 -87369/4400000 -98253/1000000 -46813/500000
222867/1000000 18772533/12100000 1235037/2750000 -1127823/2200000 -12921/55000 -686463/11000000 -4721793/11000000 168783/440000 -35432163/242000000 -1466781/5500000 -271383/5500000
57831/1000000 1235037/2750000 466403/1000000 -211569/1000000 -22109/500000 -80813/1000000 -44473/200000 -471/12500 -440269/11000000 -44937/1000000 20517/500000
-33243/100000 -1127823/2200000 -211569/1000000 663751/500000 -66361/1000000 -6303/1000000 60139/500000 -18499/200000 144863/2750000 3369/100000 -8999/125000
-20329/125000 -12921/55000 -22109/500000 -66361/1000000 304469/500000 -289089/1000000 -6227/62500 -170273/1000000 338319/22000000 24789/1000000 160963/1000000
33871/1000000 -686463/11000000 -80813/1000000 -6303/1000000 -289089/1000000 53479/100000 91503/1000000 22427/1000000 27521/5500000 -28363/250000 -23057/125000
-2923/50000 -4721793/11000000 -44473/200000 60139/500000 -6227/62500 91503/1000000 506203/1000000 -18923/1000000 56027/1375000 -63383/500000 -11663/62500
8189/1000000 168783/440000 -471/12500 -18499/200000 -170273/1000000 22427/1000000 -18923/1000000 250897/500000 -40057/1375000 -117417/1000000 -4143/31250
-87369/4400000 -35432163/242000000 -440269/11000000 144863/2750000 338319/22000000 27521/5500000 56027/1375000 -40057/1375000 7284663/484000000 594131/22000000 106193/22000000
-98253/1000000 -1466781/5500000 -44937/1000000 3369/100000 24789/1000000 -28363/250000 -63383/500000 -117417/1000000 594131/22000000 424381/500000 5223/200000
-46813/500000 -271383/5500000 20517/500000 -8999/125000 160963/1000000 -23057/125000 -11663/62500 -4143/31250 106193/22000000 5223/200000 103607/200000


--- 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 :
1780207/500000 49383/100000 -371859/1000000 -12321/25000
49383/100000 803873/1000000 45631/500000 -20357/500000
-371859/1000000 45631/500000 1313317/1000000 856303/1000000
-12321/25000 -20357/500000 856303/1000000 1341771/1000000


--- 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 : (F2)+(F3)+(F5)+(F9)
B2 : (F4)+(F6)+(F11)+(F13)
B3 : 21(F1)-29(F7)-29(F10)+9(F16)
B4 : (F8)+(F12)+(F14)+(F15)
B5 : 21(F1)+18(F7)+18(F10)-85(F16)

Matrix :
61213/500000 1513/1000000 24003/4700000 -11293/500000 53673/94000000
1513/1000000 30029/500000 17761/4700000 -10981/1000000 3339/9400000
24003/4700000 17761/4700000 1613561/1104500000 12131/23500000 238133/2209000000
-11293/500000 -10981/1000000 12131/23500000 851/20000 3579/23500000
53673/94000000 3339/9400000 238133/2209000000 3579/23500000 159229/8836000000


--- 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 :
630587/1000000 -37287/100000 -64429/500000 -14201/1000000 14201/1000000 -14201/1000000 -1707/125000 -8061/200000 -2167/1000000 5309/250000
-37287/100000 630587/1000000 -64429/500000 14201/1000000 -14201/1000000 14201/1000000 -1707/125000 -2167/1000000 -8061/200000 5309/250000
-64429/500000 -64429/500000 630587/1000000 -14201/1000000 14201/1000000 14201/1000000 1707/125000 5309/250000 5309/250000 -8061/200000
-14201/1000000 14201/1000000 -14201/1000000 421453/1000000 -152669/1000000 -134391/1000000 0/1 -3421/1000000 3421/1000000 -3421/1000000
14201/1000000 -14201/1000000 14201/1000000 -152669/1000000 421453/1000000 -134391/1000000 0/1 3421/1000000 -3421/1000000 3421/1000000
-14201/1000000 14201/1000000 14201/1000000 -134391/1000000 -134391/1000000 421453/1000000 0/1 -3421/1000000 3421/1000000 3421/1000000
-1707/125000 -1707/125000 1707/125000 0/1 0/1 0/1 284653/1000000 13/10000 13/10000 -13/10000
-8061/200000 -2167/1000000 5309/250000 -3421/1000000 3421/1000000 -3421/1000000 13/10000 3459/12500 -157841/1000000 -59439/1000000
-2167/1000000 -8061/200000 5309/250000 3421/1000000 -3421/1000000 3421/1000000 13/10000 -157841/1000000 3459/12500 -59439/1000000
5309/250000 5309/250000 -8061/200000 -3421/1000000 3421/1000000 3421/1000000 -13/10000 -59439/1000000 -59439/1000000 3459/12500


--- 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 : 85(F1)-18(F7)-18(F10)-21(F16)
B2 : (F2)+(F3)+(F5)+(F9)
B3 : (F4)+(F6)+(F11)+(F13)
B4 : 9(F1)-29(F7)-29(F10)+21(F16)
B5 : (F8)+(F12)+(F14)+(F15)

Matrix :
159229/8836000000 -3579/23500000 -3339/9400000 -238133/2209000000 -53673/94000000
-3579/23500000 851/20000 -10981/1000000 12131/23500000 -11293/500000
-3339/9400000 -10981/1000000 30029/500000 17761/4700000 1513/1000000
-238133/2209000000 12131/23500000 17761/4700000 1613561/1104500000 24003/4700000
-53673/94000000 -11293/500000 1513/1000000 24003/4700000 61213/500000


--- 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 :
3459/12500 -157841/1000000 -59439/1000000 -3421/1000000 3421/1000000 -3421/1000000 -13/10000 -8061/200000 -2167/1000000 5309/250000
-157841/1000000 3459/12500 -59439/1000000 3421/1000000 -3421/1000000 3421/1000000 -13/10000 -2167/1000000 -8061/200000 5309/250000
-59439/1000000 -59439/1000000 3459/12500 -3421/1000000 3421/1000000 3421/1000000 13/10000 5309/250000 5309/250000 -8061/200000
-3421/1000000 3421/1000000 -3421/1000000 421453/1000000 -152669/1000000 -134391/1000000 0/1 -14201/1000000 14201/1000000 -14201/1000000
3421/1000000 -3421/1000000 3421/1000000 -152669/1000000 421453/1000000 -134391/1000000 0/1 14201/1000000 -14201/1000000 14201/1000000
-3421/1000000 3421/1000000 3421/1000000 -134391/1000000 -134391/1000000 421453/1000000 0/1 -14201/1000000 14201/1000000 14201/1000000
-13/10000 -13/10000 13/10000 0/1 0/1 0/1 284653/1000000 1707/125000 1707/125000 -1707/125000
-8061/200000 -2167/1000000 5309/250000 -14201/1000000 14201/1000000 -14201/1000000 1707/125000 630587/1000000 -37287/100000 -64429/500000
-2167/1000000 -8061/200000 5309/250000 14201/1000000 -14201/1000000 14201/1000000 1707/125000 -37287/100000 630587/1000000 -64429/500000
5309/250000 5309/250000 -8061/200000 -14201/1000000 14201/1000000 14201/1000000 -1707/125000 -64429/500000 -64429/500000 630587/1000000

