#Density : 5/12

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {3, 4, 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 : 163(F1)-50(F2)-75(F3)-5(F6)
B2 : 50(F1)-163(F2)+75(F3)+5(F6)
B3 : (F4)
B4 : (F5)
B5 : 2(F1)+2(F2)+3(F3)-85(F6)

Matrix :
947891/45369000000 -2842125225584184811/631557184134076200000000 -40723/106500000 4637/71000000 -7429/4536900000
-2842125225584184811/631557184134076200000000 224611/15123000000 42407/42600000 641/2662500 42449/18147600000
-40723/106500000 42407/42600000 102083/1000000 -1821/500000 30509/85200000
4637/71000000 641/2662500 -1821/500000 162057/1000000 118273/85200000
-7429/4536900000 42449/18147600000 30509/85200000 118273/85200000 7046305473193481951/315778592067038100000000


--- 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 : 33(F1)-4(F2)-2(F3)-2(F4)-3(F5)
B2 : (F1)+4(F2)-15(F3)+2(F4)+3(F5)
B3 : (F1)+4(F2)+2(F3)-15(F4)+3(F5)
B4 : 3(F1)+12(F2)+6(F3)+6(F4)-25(F5)
B5 : (F6)

Matrix :
29243222443516594883272633/222583159727434762233120000000 32667/144500000 -150113780372684659484461457/10387214120613622237545600000000 -3730365837843309369294176737/31161642361840866712636800000000 -25427/34000000
32667/144500000 1163651/289000000 172651/289000000 87213018389105543205750503/324600441269175694923300000000 -121367/17000000
-150113780372684659484461457/10387214120613622237545600000000 172651/289000000 1355497901846398845758277409/779041059046021667815920000000 281371165899645283807627627/566575315669833940229760000000 58307/8500000
-3730365837843309369294176737/31161642361840866712636800000000 87213018389105543205750503/324600441269175694923300000000 281371165899645283807627627/566575315669833940229760000000 433834568704900461461415259/1038721412061362223754560000000 27919/34000000
-25427/34000000 -121367/17000000 58307/8500000 27919/34000000 127337/1000000


--- 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 : 5(F1)-3(F2)-(F3)
B2 : 2(F1)+3(F2)-13(F3)
B3 : (F4)

Matrix :
34653/6125000 -1583/98000000 -42059/7000000
-1583/98000000 13397/12250000 2591/560000
-42059/7000000 2591/560000 12413/200000


--- 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 : (F2)+(F3)
B2 : (F1)-5(F4)

Matrix :
983/62500 1611/400000
1611/400000 29797/13520000


--- 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 :
31461/1000000


--- 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 : 17(F1)-4(F2)-4(F3)-(F4)
B2 : (F1)+4(F2)+4(F3)-17(F4)

Matrix :
287/1687500 1725881542016196187956913/13478219014637053076400000000
1725881542016196187956913/13478219014637053076400000000 110233/162000000


--- 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 :
632293455713092428873213289/3369554753659263269100000000


--- 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  : 2(F3)-3(F4)+2(F5)-3(F6)+(F7)+(F10)
B4  : 2(F3)+2(F4)+2(F5)+2(F6)-9(F7)+(F10)
B5  : (F8)
B6  : (F9)
B7  : 2(F3)+2(F4)+2(F5)+2(F6)+(F7)-9(F10)
B8  : (F11)+(F13)
B9  : (F12)+(F14)
B10 : (F15)
B11 : (F16)

Matrix :
187043/125000 1156471/1000000 -757401/2500000 483353/5000000 17599/125000 -32029/62500 210977/10000000 -518113/500000 389/12500 -48403/62500 92527/500000
1156471/1000000 1701761/500000 -1796771/5000000 136791/1000000 -168673/500000 -1728/3125 -58251/2000000 -74531/62500 28281/1000000 -93767/62500 -276091/500000
-757401/2500000 -1796771/5000000 1727879/6250000 -1278919/50000000 -1834127/5000000 168321/5000000 775487/50000000 2508917/5000000 -175069/1250000 1715237/5000000 -359707/1250000
483353/5000000 136791/1000000 -1278919/50000000 148611/6250000 -22623/500000 109593/10000000 -492689/20000000 -160299/2500000 466383/10000000 -1322653/10000000 -52557/5000000
17599/125000 -168673/500000 -1834127/5000000 -22623/500000 3762799/1000000 -140501/250000 11303/62500 -939787/1000000 -46573/100000 -118181/1000000 481733/500000
-32029/62500 -1728/3125 168321/5000000 109593/10000000 -140501/250000 673433/250000 -267851/2500000 237543/1000000 -41/625 -64871/1000000 -230003/500000
210977/10000000 -58251/2000000 775487/50000000 -492689/20000000 11303/62500 -267851/2500000 6273449/100000000 -77249/1250000 -667337/5000000 1357483/10000000 130111/1250000
-518113/500000 -74531/62500 2508917/5000000 -160299/2500000 -939787/1000000 237543/1000000 -77249/1250000 933443/500000 -21317/62500 352411/500000 -741659/1000000
389/12500 28281/1000000 -175069/1250000 466383/10000000 -46573/100000 -41/625 -667337/5000000 -21317/62500 488201/250000 -37141/100000 -53147/125000
-48403/62500 -93767/62500 1715237/5000000 -1322653/10000000 -118181/1000000 -64871/1000000 1357483/10000000 352411/500000 -37141/100000 212403/125000 -66759/250000
92527/500000 -276091/500000 -359707/1250000 -52557/5000000 481733/500000 -230003/500000 130111/1250000 -741659/1000000 -53147/125000 -66759/250000 3929687/1000000


--- 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 :
1661387/500000 2081989/1000000 1549583/1000000 561237/1000000
2081989/1000000 1613873/500000 106893/125000 426033/250000
1549583/1000000 106893/125000 507217/200000 310361/1000000
561237/1000000 426033/250000 310361/1000000 6382087/1000000


--- 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 : 4(F2)+4(F3)-17(F4)+(F13)
B3 : (F5)+(F9)
B4 : (F6)+(F11)
B5 : (F7)+(F10)
B6 : (F8)+(F12)
B7 : 4(F2)+4(F3)+(F4)-17(F13)
B8 : (F14)+(F15)
B9 : (F16)

Matrix :
3511123/1000000 268859/4500000 10391/125000 24399/100000 -305467/1000000 -54907/200000 1688621/18000000 -101857/250000 -917413/1000000
268859/4500000 167551/13500000 953341/18000000 10981/360000 28679/9000000 -117739/1500000 -477169/108000000 108413/4500000 -1797493/18000000
10391/125000 953341/18000000 1081927/1000000 -2913/1000000 -119911/1000000 -730533/1000000 -123329/3600000 29829/500000 -354189/500000
24399/100000 10981/360000 -2913/1000000 1783863/1000000 -249889/1000000 -44053/125000 250189/18000000 -145423/500000 -15161/40000
-305467/1000000 28679/9000000 -119911/1000000 -249889/1000000 503551/500000 -297301/1000000 -26129/2000000 -24507/250000 -212479/1000000
-54907/200000 -117739/1500000 -730533/1000000 -44053/125000 -297301/1000000 880913/500000 872633/18000000 -442101/1000000 688891/1000000
1688621/18000000 -477169/108000000 -123329/3600000 250189/18000000 -26129/2000000 872633/18000000 1422559/108000000 -80257/2000000 75017/2000000
-101857/250000 108413/4500000 29829/500000 -145423/500000 -24507/250000 -442101/1000000 -80257/2000000 1223411/1000000 -338381/1000000
-917413/1000000 -1797493/18000000 -354189/500000 -15161/40000 -212479/1000000 688891/1000000 75017/2000000 -338381/1000000 1428661/500000


--- 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 :
1365037/500000 26489/62500 1713819/1000000 -676491/500000 862641/1000000 275611/200000
26489/62500 1778123/1000000 457199/1000000 36101/125000 165681/1000000 -25551/250000
1713819/1000000 457199/1000000 4322309/1000000 -1007247/1000000 544787/1000000 252687/250000
-676491/500000 36101/125000 -1007247/1000000 345661/125000 -257489/1000000 -1136021/1000000
862641/1000000 165681/1000000 544787/1000000 -257489/1000000 828001/500000 44489/125000
275611/200000 -25551/250000 252687/250000 -1136021/1000000 44489/125000 1419543/500000


--- Term 12 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 7

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 : 7(F1)+2(F2)+2(F3)+2(F5)-2(F7)+2(F9)-4(F10)
B2 : 6(F1)-14(F2)+19(F3)+19(F5)+3(F7)-14(F9)-5(F10)
B3 : (F4)+(F6)+(F11)+(F13)
B4 : 2(F1)-(F2)-(F3)-(F5)-10(F7)-(F9)+2(F10)
B5 : (F8)+(F15)
B6 : (F12)+(F14)
B7 : (F16)

Matrix :
2552973/121000000 -1399/1000000 36603/11000000 487359/60500000 -81093/5500000 -257019/11000000 -113407/11000000
-1399/1000000 6289/4356000 -40933/11000000 -642133/181500000 182233/8250000 -4577/330000 -13549/16500000
36603/11000000 -40933/11000000 204393/1000000 130077/11000000 -1471/10000 -35249/1000000 -11591/500000
487359/60500000 -642133/181500000 130077/11000000 1069297/60500000 -247651/5500000 1469/44000 389/110000
-81093/5500000 182233/8250000 -1471/10000 -247651/5500000 122093/125000 -48619/200000 -47789/250000
-257019/11000000 -4577/330000 -35249/1000000 1469/44000 -48619/200000 43323/100000 -67649/1000000
-113407/11000000 -13549/16500000 -11591/500000 389/110000 -47789/250000 -67649/1000000 1129241/1000000


--- 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 :
445157/250000 0/1 -47583/100000 47583/100000 47583/100000 -44279/100000 0/1
0/1 27949/20000 56109/200000 -56109/200000 56109/200000 0/1 -229297/500000
-47583/100000 56109/200000 1548163/500000 -288401/500000 -1050279/1000000 55179/500000 97701/500000
47583/100000 -56109/200000 -288401/500000 1548163/500000 -367311/250000 -55179/500000 -97701/500000
47583/100000 56109/200000 -1050279/1000000 -367311/250000 1548163/500000 -55179/500000 97701/500000
-44279/100000 0/1 55179/500000 -55179/500000 -55179/500000 706377/500000 0/1
0/1 -229297/500000 97701/500000 -97701/500000 97701/500000 0/1 393577/500000


--- 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 :
770753/500000 -529151/1000000 -4231/62500 -123893/1000000 -255833/500000 -2173/50000 404887/1000000 -118089/1000000 3553/200000 -47351/1000000 -538499/1000000 -108539/1000000
-529151/1000000 61193/40000 -94167/1000000 37343/1000000 -207237/500000 -75911/1000000 537/15625 28819/100000 -111151/1000000 21853/1000000 -524311/1000000 -177669/1000000
-4231/62500 -94167/1000000 730707/500000 -145337/1000000 -92819/500000 -15903/200000 84043/500000 89927/1000000 -20901/125000 -55153/250000 -144327/500000 -72039/500000
-123893/1000000 37343/1000000 -145337/1000000 23067/50000 -3287/62500 -343/1000000 -15079/200000 76361/1000000 -3383/25000 -39441/1000000 -529/10000 2431/1000000
-255833/500000 -207237/500000 -92819/500000 -3287/62500 690973/250000 -25933/100000 -5773/8000 -4259/12500 19979/250000 53339/500000 480193/500000 61043/500000
-2173/50000 -75911/1000000 -15903/200000 -343/1000000 -25933/100000 479221/500000 -16889/250000 -13301/500000 -7293/200000 -33883/500000 -122871/1000000 -14537/250000
404887/1000000 537/15625 84043/500000 -15079/200000 -5773/8000 -16889/250000 237589/200000 -162137/1000000 91647/1000000 -130287/500000 -487473/500000 -341889/1000000
-118089/1000000 28819/100000 89927/1000000 76361/1000000 -4259/12500 -13301/500000 -162137/1000000 14967/15625 -8949/40000 19927/1000000 -801161/1000000 -258351/1000000
3553/200000 -111151/1000000 -20901/125000 -3383/25000 19979/250000 -7293/200000 91647/1000000 -8949/40000 723677/1000000 -189271/1000000 35933/250000 -38013/1000000
-47351/1000000 21853/1000000 -55153/250000 -39441/1000000 53339/500000 -33883/500000 -130287/500000 19927/1000000 -189271/1000000 68457/125000 8053/50000 1811/500000
-538499/1000000 -524311/1000000 -144327/500000 -529/10000 480193/500000 -122871/1000000 -487473/500000 -801161/1000000 35933/250000 8053/50000 54411/15625 336693/1000000
-108539/1000000 -177669/1000000 -72039/500000 2431/1000000 61043/500000 -14537/250000 -341889/1000000 -258351/1000000 -38013/1000000 1811/500000 336693/1000000 1196723/1000000


--- 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 :
2240703/500000 -83459/1000000 803691/1000000 -316787/1000000
-83459/1000000 40823/62500 274199/1000000 19177/100000
803691/1000000 274199/1000000 912271/200000 978877/1000000
-316787/1000000 19177/100000 978877/1000000 822131/500000


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

Matrix :
5863/31250 -11629/500000 -24529/1000000 -36461/1000000 43/6500
-11629/500000 19349/200000 287/500000 -8859/500000 11721/2600000
-24529/1000000 287/500000 161331/500000 -9057/200000 2477/208000
-36461/1000000 -8859/500000 -9057/200000 20753/200000 4959/1040000
43/6500 11721/2600000 2477/208000 4959/1040000 27393/3380000


--- 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 :
153149/200000 -308561/1000000 -228591/1000000 15941/1000000 -15941/1000000 15941/1000000 3223/250000 -3957/100000 -26711/1000000 33141/1000000
-308561/1000000 153149/200000 -228591/1000000 -15941/1000000 15941/1000000 -15941/1000000 3223/250000 -26711/1000000 -3957/100000 33141/1000000
-228591/1000000 -228591/1000000 153149/200000 15941/1000000 -15941/1000000 -15941/1000000 -3223/250000 33141/1000000 33141/1000000 -3957/100000
15941/1000000 -15941/1000000 15941/1000000 491097/1000000 -182807/1000000 -4817/31250 0/1 -28/3125 28/3125 -28/3125
-15941/1000000 15941/1000000 -15941/1000000 -182807/1000000 491097/1000000 -4817/31250 0/1 28/3125 -28/3125 28/3125
15941/1000000 -15941/1000000 -15941/1000000 -4817/31250 -4817/31250 491097/1000000 0/1 -28/3125 28/3125 28/3125
3223/250000 3223/250000 -3223/250000 0/1 0/1 0/1 453457/1000000 -2567/125000 -2567/125000 2567/125000
-3957/100000 -26711/1000000 33141/1000000 -28/3125 28/3125 -28/3125 -2567/125000 113663/200000 -312393/1000000 -127961/1000000
-26711/1000000 -3957/100000 33141/1000000 28/3125 -28/3125 28/3125 -2567/125000 -312393/1000000 113663/200000 -127961/1000000
33141/1000000 33141/1000000 -3957/100000 -28/3125 28/3125 28/3125 2567/125000 -127961/1000000 -127961/1000000 113663/200000


--- 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 : 17(F1)-4(F7)-4(F10)-(F16)
B2 : (F2)+(F3)+(F5)+(F9)
B3 : (F4)+(F6)+(F11)+(F13)
B4 : (F8)+(F12)+(F14)+(F15)
B5 : (F1)+4(F7)+4(F10)-17(F16)

Matrix :
213029/324000000 929/18000000 -101/62500 -4823/2250000 1609/4000000
929/18000000 41469/500000 -1589/40000 -38161/500000 2047/900000
-101/62500 -1589/40000 52831/250000 -18489/500000 28087/4500000
-4823/2250000 -38161/500000 -18489/500000 2517/10000 -61541/9000000
1609/4000000 2047/900000 28087/4500000 -61541/9000000 109489/10800000


--- 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 :
168177/200000 -385983/1000000 -4549/20000 -56623/250000 56623/250000 -56623/250000 -85423/200000 -23707/1000000 -170111/500000 45491/250000
-385983/1000000 168177/200000 -4549/20000 56623/250000 -56623/250000 56623/250000 -85423/200000 -170111/500000 -23707/1000000 45491/250000
-4549/20000 -4549/20000 168177/200000 -56623/250000 56623/250000 56623/250000 85423/200000 45491/250000 45491/250000 -23707/1000000
-56623/250000 56623/250000 -56623/250000 2295023/1000000 -566291/500000 -29061/50000 0/1 -32183/125000 32183/125000 -32183/125000
56623/250000 -56623/250000 56623/250000 -566291/500000 2295023/1000000 -29061/50000 0/1 32183/125000 -32183/125000 32183/125000
-56623/250000 56623/250000 56623/250000 -29061/50000 -29061/50000 2295023/1000000 0/1 -32183/125000 32183/125000 32183/125000
-85423/200000 -85423/200000 85423/200000 0/1 0/1 0/1 191037/125000 399457/1000000 399457/1000000 -399457/1000000
-23707/1000000 -170111/500000 45491/250000 -32183/125000 32183/125000 -32183/125000 399457/1000000 994147/500000 -612799/500000 -95337/250000
-170111/500000 -23707/1000000 45491/250000 32183/125000 -32183/125000 32183/125000 399457/1000000 -612799/500000 994147/500000 -95337/250000
45491/250000 45491/250000 -23707/1000000 -32183/125000 32183/125000 32183/125000 -399457/1000000 -95337/250000 -95337/250000 994147/500000

