#Density : 81/512

Program                      : VertexInducedHypercubeDensityChecker

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

Matrix :
59147/8048072000000 71794309161654576131176989191041607969437/30309583948588014726713202405121547737497600000000 5504567794222092130500662632725723840919/3788697993573501840839150300640193467187200000000 -2439/16096144000000 -4953/643845760000
71794309161654576131176989191041607969437/30309583948588014726713202405121547737497600000000 230504431157118149/51859436366428078080000000 8430205753260102768237232453966608320159/7577395987147003681678300601280386934374400000000 1/11139200000 7233409466455294163/777891545496421171200000000
5504567794222092130500662632725723840919/3788697993573501840839150300640193467187200000000 8430205753260102768237232453966608320159/7577395987147003681678300601280386934374400000000 24549961835289476294747838241680577733699/1515479197429400736335660120256077386874880000000 -8743/2012018000000 587535426556077515111208872566731125718319/22732187961441011045034901803841160803123200000000
-2439/16096144000000 1/11139200000 -8743/2012018000000 63/12876915200 -7350118159593513814318093264604563909717/2020638929905867648447546827008103182499840000000
-4953/643845760000 7233409466455294163/777891545496421171200000000 587535426556077515111208872566731125718319/22732187961441011045034901803841160803123200000000 -7350118159593513814318093264604563909717/2020638929905867648447546827008103182499840000000 49037404410821620160706309734473077304009/420966443730389093426572255626688163020800000000


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

Matrix :
40121454291951237764567294473632836608807/344427090324863803712650027330926678835200000000 -41601/1609614400000 30065262901917285460423950610759055205181/8266250167796731289103600655942240292044800000000 -149673/16096144000000 -174873352190236068375306099238448772299797/22732187961441011045034901803841160803123200000000
-41601/1609614400000 5845251400144366954203121488966238853609/360828380340333508651347647680018425446400000000 -8743/2012018000000 179/160961440000 -1169/804807200000
30065262901917285460423950610759055205181/8266250167796731289103600655942240292044800000000 -8743/2012018000000 63/12876915200 1/11139200000 2439/16096144000000
-149673/16096144000000 179/160961440000 1/11139200000 71543/16096144000000 -1139723763245577943034786241825914457121/481104507120444678201796863573357900595200000000
-174873352190236068375306099238448772299797/22732187961441011045034901803841160803123200000000 -1169/804807200000 2439/16096144000000 -1139723763245577943034786241825914457121/481104507120444678201796863573357900595200000000 59147/8048072000000


--- 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 : 67(F1)-9(F2)-21(F3)-9(F4)
B2 : 9(F1)-67(F2)+21(F3)+9(F4)
B3 : 9(F1)+9(F2)+21(F3)-67(F4)

Matrix :
24223/2888000000 5767/5776000000 12745410553/5032051200000000
5767/5776000000 5959/1155200000 -5767/5776000000
12745410553/5032051200000000 -5767/5776000000 24223/2888000000


--- Term 4 ---

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

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

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

Matrix :
29361/24500000


--- 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 :
476264371150571/15410656800000000


--- Term 6 ---

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

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

Basis :
B1 : 3(F1)-(F2)-(F3)-5(F4)

Matrix :
29361/24500000


--- 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 :
15451/500000


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

Matrix :
526711/1000000 44771/1000000 -6097/200000 -151887/1000000 -8847/125000 1471083/5500000 -21687/500000 -26737/125000 -856421/22000000 -103897/1000000 128483/1000000
44771/1000000 137489/250000 2981/500000 -132041/1000000 -116667/1000000 -121071/11000000 17107/1000000 -15411/250000 164399/22000000 -57283/200000 -22111/250000
-6097/200000 2981/500000 530721/1000000 -164983/1000000 -5971/62500 -3193611/11000000 -29721/1000000 -11683/250000 774157/22000000 -87749/500000 -106391/1000000
-151887/1000000 -132041/1000000 -164983/1000000 104423/200000 -219/62500 1319283/11000000 -107907/1000000 154/15625 -432087/22000000 189441/1000000 -1187/31250
-8847/125000 -116667/1000000 -5971/62500 -219/62500 44991/50000 302307/2200000 -11411/100000 -24161/500000 -469717/22000000 50713/1000000 -3633/250000
1471083/5500000 -121071/11000000 -3193611/11000000 1319283/11000000 302307/2200000 9390501/15125000 -175701/2200000 -29829/125000 -20822151/242000000 2499957/11000000 2999979/11000000
-21687/500000 17107/1000000 -29721/1000000 -107907/1000000 -11411/100000 -175701/2200000 95347/100000 14837/500000 3537/400000 -3261/31250 -312301/1000000
-26737/125000 -15411/250000 -11683/250000 154/15625 -24161/500000 -29829/125000 14837/500000 407813/1000000 668263/22000000 -6237/250000 -157921/1000000
-856421/22000000 164399/22000000 774157/22000000 -432087/22000000 -469717/22000000 -20822151/242000000 3537/400000 668263/22000000 7271599/484000000 -335839/11000000 -248829/5500000
-103897/1000000 -57283/200000 -87749/500000 189441/1000000 50713/1000000 2499957/11000000 -3261/31250 -6237/250000 -335839/11000000 55667/100000 5409/250000
128483/1000000 -22111/250000 -106391/1000000 -1187/31250 -3633/250000 2999979/11000000 -312301/1000000 -157921/1000000 -248829/5500000 5409/250000 1192659/1000000


--- 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 :
738213/500000 387803/500000 -577/200000 -241247/500000
387803/500000 125591/100000 138177/1000000 -123169/500000
-577/200000 138177/1000000 404301/500000 6012/15625
-241247/500000 -123169/500000 6012/15625 703797/200000


--- 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 : 163(F1)-18(F4)+58(F6)+58(F11)-42(F13)-47(F16)
B2 : (F2)+(F3)
B3 : 6(F1)-61(F4)+6(F6)+6(F11)+21(F13)+6(F16)
B4 : (F5)+(F9)
B5 : (F7)+(F10)
B6 : (F8)+(F12)
B7 : (F14)+(F15)
B8 : 47(F1)+18(F4)-58(F6)-58(F11)+42(F13)-163(F16)

Matrix :
88357/300000000 -53083/30000000 -148633/980000000 -23651/2800000 -59683/6562500 -125143/35000000 -760241/70000000 -8300309/44100000000
-53083/30000000 553203/1000000 41371/70000000 7203/500000 147/31250 -46757/500000 -12353/500000 125143/35000000
-148633/980000000 41371/70000000 307171/980000000 6791/875000 119241/17500000 41371/70000000 6791/875000 148633/980000000
-23651/2800000 7203/500000 6791/875000 808999/1000000 33157/100000 -12353/500000 297263/1000000 760241/70000000
-59683/6562500 147/31250 119241/17500000 33157/100000 337721/500000 147/31250 33157/100000 59683/6562500
-125143/35000000 -46757/500000 41371/70000000 -12353/500000 147/31250 553203/1000000 7203/500000 53083/30000000
-760241/70000000 -12353/500000 6791/875000 297263/1000000 33157/100000 7203/500000 808999/1000000 23651/2800000
-8300309/44100000000 125143/35000000 148633/980000000 760241/70000000 59683/6562500 53083/30000000 23651/2800000 88357/300000000


--- 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 :
795089/1000000 -23241/500000 70539/125000 -82689/1000000 12187/125000 319/3125
-23241/500000 204189/250000 -127159/200000 16467/500000 319/3125 18361/100000
70539/125000 -127159/200000 525001/100000 0/1 70539/125000 -127159/200000
-82689/1000000 16467/500000 0/1 655397/1000000 82689/1000000 -16467/500000
12187/125000 319/3125 70539/125000 82689/1000000 795089/1000000 -23241/500000
319/3125 18361/100000 -127159/200000 -16467/500000 -23241/500000 204189/250000


--- 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 : 67(F1)-21(F7)-9(F10)-9(F16)
B2 : (F2)+(F9)
B3 : (F3)+(F5)
B4 : (F4)+(F6)+(F11)+(F13)
B5 : (F8)+(F15)
B6 : 9(F1)+21(F7)-67(F10)+9(F16)
B7 : (F12)+(F14)
B8 : 9(F1)+21(F7)+9(F10)-67(F16)

Matrix :
2340661/2888000000 18249/76000000 -422097/76000000 -314123/76000000 -57633/9500000 -62573/577600000 4591/15200000 -3921691/5776000000
18249/76000000 11051/100000 -7241/500000 -18867/1000000 -2217/40000 267/1520000 -877/100000 -4591/15200000
-422097/76000000 -7241/500000 302891/1000000 469/31250 44301/1000000 1189/1000000 -2217/40000 57633/9500000
-314123/76000000 -18867/1000000 469/31250 17871/200000 469/31250 10047/15200000 -18867/1000000 314123/76000000
-57633/9500000 -2217/40000 44301/1000000 469/31250 302891/1000000 1189/1000000 -7241/500000 422097/76000000
-62573/577600000 267/1520000 1189/1000000 10047/15200000 1189/1000000 236871/5776000000 267/1520000 62573/577600000
4591/15200000 -877/100000 -2217/40000 -18867/1000000 -7241/500000 267/1520000 11051/100000 -18249/76000000
-3921691/5776000000 -4591/15200000 57633/9500000 314123/76000000 422097/76000000 62573/577600000 -18249/76000000 2340661/2888000000


--- 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 :
320337/1000000 0/1 -19739/500000 19739/500000 19739/500000 -24563/1000000 0/1
0/1 168347/250000 -9/62500 9/62500 -9/62500 0/1 -24563/1000000
-19739/500000 -9/62500 655497/1000000 -187129/1000000 -29273/125000 9/62500 19739/500000
19739/500000 9/62500 -187129/1000000 655497/1000000 -29273/125000 -9/62500 -19739/500000
19739/500000 -9/62500 -29273/125000 -29273/125000 655497/1000000 -9/62500 19739/500000
-24563/1000000 0/1 9/62500 -9/62500 -9/62500 168347/250000 0/1
0/1 -24563/1000000 19739/500000 -19739/500000 19739/500000 0/1 320337/1000000


--- 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  : 9(F3)+9(F5)-13(F12)-13(F14)+6(F15)
B10 : (F3)+(F5)+(F12)+(F14)-3(F15)
B11 : (F16)

Matrix :
1192659/1000000 -3633/250000 -106391/1000000 -312301/1000000 -22111/250000 5409/250000 -1187/31250 -157921/1000000 248829/5500000 2495307/5500000 128483/1000000
-3633/250000 44991/50000 -5971/62500 -11411/100000 -116667/1000000 50713/1000000 -219/62500 -24161/500000 469717/22000000 2450973/11000000 -8847/125000
-106391/1000000 -5971/62500 530721/1000000 -29721/1000000 2981/500000 -87749/500000 -164983/1000000 -11683/250000 -774157/22000000 -2370963/5500000 -6097/200000
-312301/1000000 -11411/100000 -29721/1000000 95347/100000 17107/1000000 -3261/31250 -107907/1000000 14837/500000 -3537/400000 -50703/440000 -21687/500000
-22111/250000 -116667/1000000 2981/500000 17107/1000000 137489/250000 -57283/200000 -132041/1000000 -15411/250000 -164399/22000000 -449871/11000000 44771/1000000
5409/250000 50713/1000000 -87749/500000 -3261/31250 -57283/200000 55667/100000 189441/1000000 -6237/250000 335839/11000000 768663/2200000 -103897/1000000
-1187/31250 -219/62500 -164983/1000000 -107907/1000000 -132041/1000000 189441/1000000 104423/200000 154/15625 432087/22000000 109173/550000 -151887/1000000
-157921/1000000 -24161/500000 -11683/250000 14837/500000 -15411/250000 -6237/250000 154/15625 407813/1000000 -668263/22000000 -3961479/11000000 -26737/125000
248829/5500000 469717/22000000 -774157/22000000 -3537/400000 -164399/22000000 335839/11000000 432087/22000000 -668263/22000000 7271599/484000000 35365353/242000000 856421/22000000
2495307/5500000 2450973/11000000 -2370963/5500000 -50703/440000 -449871/11000000 768663/2200000 109173/550000 -3961479/11000000 35365353/242000000 7499961/4840000 465501/1100000
128483/1000000 -8847/125000 -6097/200000 -21687/500000 44771/1000000 -103897/1000000 -151887/1000000 -26737/125000 856421/22000000 465501/1100000 526711/1000000


--- 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 :
703797/200000 -123169/500000 6012/15625 -241247/500000
-123169/500000 125591/100000 138177/1000000 387803/500000
6012/15625 138177/1000000 404301/500000 -577/200000
-241247/500000 387803/500000 -577/200000 738213/500000


--- Term 16 ---

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

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

Matrix :
186137/17280000 214/28125 -11179/2400000
214/28125 693/6250 -917/31250
-11179/2400000 -917/31250 26267/1000000


--- Term 17 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 9

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 : (F5)-(F10)
B5 : (F3)-(F12)
B6 : (F6)-(F9)
B7 : (F7)-(F11)
B8 : (F7)-(F13)
B9 : (F7)-(F14)

Matrix :
351899/500000 -209389/500000 -14251/100000 8429/400000 -1317/62500 2871/250000 -68851/1000000 6069/500000 7089/250000
-209389/500000 351899/500000 -14251/100000 -8429/400000 1317/62500 2871/250000 6069/500000 -68851/1000000 7089/250000
-14251/100000 -14251/100000 351899/500000 8429/400000 1317/62500 -2871/250000 7089/250000 7089/250000 -68851/1000000
8429/400000 -8429/400000 8429/400000 704847/800000 0/1 0/1 117763/2000000 -117763/2000000 117763/2000000
-1317/62500 1317/62500 1317/62500 0/1 440529/500000 0/1 -58881/1000000 58881/1000000 58881/1000000
2871/250000 2871/250000 -2871/250000 0/1 0/1 175629/500000 37/5000 37/5000 -37/5000
-68851/1000000 6069/500000 7089/250000 117763/2000000 -58881/1000000 37/5000 13899/50000 -182493/1000000 -47743/1000000
6069/500000 -68851/1000000 7089/250000 -117763/2000000 58881/1000000 37/5000 -182493/1000000 13899/50000 -47743/1000000
7089/250000 7089/250000 -68851/1000000 117763/2000000 58881/1000000 -37/5000 -47743/1000000 -47743/1000000 13899/50000


--- Term 18 ---

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

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 : (F8)+(F12)+(F14)+(F15)
B3 : 3(F1)-(F4)-(F6)-(F7)-(F10)-(F11)-(F13)-5(F16)

Matrix :
26267/1000000 -917/31250 11179/2400000
-917/31250 693/6250 -214/28125
11179/2400000 -214/28125 186137/17280000


--- Term 19 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 9

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 : (F5)-(F10)
B5 : (F3)-(F12)
B6 : (F6)-(F9)
B7 : (F7)-(F11)
B8 : (F7)-(F13)
B9 : (F7)-(F14)

Matrix :
13899/50000 -182493/1000000 -47743/1000000 117763/2000000 -58881/1000000 -37/5000 -68851/1000000 6069/500000 7089/250000
-182493/1000000 13899/50000 -47743/1000000 -117763/2000000 58881/1000000 -37/5000 6069/500000 -68851/1000000 7089/250000
-47743/1000000 -47743/1000000 13899/50000 117763/2000000 58881/1000000 37/5000 7089/250000 7089/250000 -68851/1000000
117763/2000000 -117763/2000000 117763/2000000 704847/800000 0/1 0/1 8429/400000 -8429/400000 8429/400000
-58881/1000000 58881/1000000 58881/1000000 0/1 440529/500000 0/1 -1317/62500 1317/62500 1317/62500
-37/5000 -37/5000 37/5000 0/1 0/1 175629/500000 -2871/250000 -2871/250000 2871/250000
-68851/1000000 6069/500000 7089/250000 8429/400000 -1317/62500 -2871/250000 351899/500000 -209389/500000 -14251/100000
6069/500000 -68851/1000000 7089/250000 -8429/400000 1317/62500 -2871/250000 -209389/500000 351899/500000 -14251/100000
7089/250000 7089/250000 -68851/1000000 8429/400000 1317/62500 2871/250000 -14251/100000 -14251/100000 351899/500000

