#Density : 32/105

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
3 : {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 : 163(F1)-80(F2)-32(F3)-20(F6)
B2 : 96(F1)+160(F2)-569(F3)+40(F6)
B3 : (F4)
B4 : (F5)
B5 : 15(F1)+25(F2)+10(F3)-152(F6)

Matrix :
232271238519019372382661448895732879724878999/25431882510927690595490876878455179815125056250000 -219422323775832325671200150407519367718742337/523170154510512492250098038642506556196858300000000 -13241/105500000 53779/211000000 -16098925430487446272787446378702194531059221/41615807745154402792621434892017566970204637500000
-219422323775832325671200150407519367718742337/523170154510512492250098038642506556196858300000000 102619/200344500000 -2027/633000000 4163/42200000 12353/12521531250
-13241/105500000 -2027/633000000 3683/125000 -38659/1000000 -12121/158250000
53779/211000000 4163/42200000 -38659/1000000 43767/250000 142369/158250000
-16098925430487446272787446378702194531059221/41615807745154402792621434892017566970204637500000 12353/12521531250 -12121/158250000 142369/158250000 2198156351400730111042064934381011460487058981/305182590131132287145890522541462157781500675000000


--- 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 : 1552(F1)-3947(F2)+384(F3)+640(F4)+256(F5)
B2 : 776(F1)+384(F2)-4523(F3)+320(F4)+128(F5)
B3 : 776(F1)+384(F2)+192(F3)-2509(F4)+128(F5)
B4 : 1552(F1)+768(F2)+384(F3)+640(F4)-13889(F5)
B5 : (F6)

Matrix :
1343657914693419194519021192485838106460644032303/47302048686916049065534039440459738437984850822000000000 139401752837108367586972662187462066077374110711/11825512171729012266383509860114934609496212705500000000 -284395359914977178762060804696797111752306015659/7883674781152674844255673240076623072997475137000000000 16647650050714851129391743361909786861617886541/23651024343458024532767019720229869218992425411000000000 175189/4715000000
139401752837108367586972662187462066077374110711/11825512171729012266383509860114934609496212705500000000 659053/22231225000000 -17222226576025163122659594132217365288425628809/656972898429389570354639436673051922749789594750000000 6323/13338735000000 473/23000000
-284395359914977178762060804696797111752306015659/7883674781152674844255673240076623072997475137000000000 -17222226576025163122659594132217365288425628809/656972898429389570354639436673051922749789594750000000 440445337365859106129683854064336116057137623549/7095307303037407359830105916068960765697727623300000000 -33631950309376334452146768300921803566077856009/35476536515187036799150529580344803828488638116500000000 -38639/943000000
16647650050714851129391743361909786861617886541/23651024343458024532767019720229869218992425411000000000 6323/13338735000000 -33631950309376334452146768300921803566077856009/35476536515187036799150529580344803828488638116500000000 164879846902990602350548220554407937504978319/365737489847289039166500304952008286891635444500000000 87167/14145000000
175189/4715000000 473/23000000 -38639/943000000 87167/14145000000 80043/500000


--- 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 : 24(F1)-61(F2)+20(F3)
B2 : 15(F1)+10(F2)-26(F3)
B3 : (F4)

Matrix :
77081/5929000000 6101/148225000 19/385000
6101/148225000 67897/211750000 -93/175000
19/385000 -93/175000 3319/125000


--- 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)-2(F4)

Matrix :
9657/1000000 939/156250
939/156250 55779/6250000


--- 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 :
21721/1000000


--- 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 : 8(F1)-7(F2)-7(F3)-22(F4)

Matrix :
331177/4455112500


--- 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 :
105617/1000000


--- 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  : 45(F2)-16(F3)-16(F5)-8(F7)-20(F9)
B3  : 16(F2)-45(F3)-45(F5)+8(F7)+20(F9)
B4  : (F4)+(F6)
B5  : 8(F2)+8(F3)+8(F5)-57(F7)+10(F9)
B6  : (F8)
B7  : (F10)
B8  : (F11)+(F13)
B9  : (F12)+(F14)
B10 : (F15)
B11 : (F16)

Matrix :
129117/50000 2059069/61000000 -273347/12200000 73529/125000 5533/762500 -237453/125000 -59229/31250 -294037/500000 -654679/1000000 -1169013/1000000 -205673/100000
2059069/61000000 1252583/744200000 -321199/744200000 2073619/61000000 343769/930250000 -39517/6100000 -1672553/61000000 -1345607/61000000 -5419/2440000 -32121/953125 -92909/30500000
-273347/12200000 -321199/744200000 776559/1860500000 -301753/61000000 130543/744200000 91581/12200000 1590033/61000000 78647/7625000 20327/1906250 13013/3050000 407687/61000000
73529/125000 2073619/61000000 -301753/61000000 868807/500000 700377/61000000 -92921/500000 -69089/125000 -714467/1000000 -177801/1000000 -50661/62500 -37249/250000
5533/762500 343769/930250000 130543/744200000 700377/61000000 1605747/3721000000 -625193/61000000 378781/61000000 -9231/61000000 211581/30500000 -269357/15250000 -5769/500000
-237453/125000 -39517/6100000 91581/12200000 -92921/500000 -625193/61000000 2998593/1000000 220547/250000 39141/500000 134301/500000 630633/1000000 982381/500000
-59229/31250 -1672553/61000000 1590033/61000000 -69089/125000 378781/61000000 220547/250000 3874807/1000000 10411/20000 521413/1000000 108133/250000 115171/125000
-294037/500000 -1345607/61000000 78647/7625000 -714467/1000000 -9231/61000000 39141/500000 10411/20000 1017277/1000000 -14527/250000 61999/200000 15899/1000000
-654679/1000000 -5419/2440000 20327/1906250 -177801/1000000 211581/30500000 134301/500000 521413/1000000 -14527/250000 333411/200000 -30447/1000000 4874/15625
-1169013/1000000 -32121/953125 13013/3050000 -50661/62500 -269357/15250000 630633/1000000 108133/250000 61999/200000 -30447/1000000 1563641/1000000 819617/1000000
-205673/100000 -92909/30500000 407687/61000000 -37249/250000 -5769/500000 982381/500000 115171/125000 15899/1000000 4874/15625 819617/1000000 3427203/1000000


--- 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 :
3265317/1000000 149139/125000 14459/250000 -632809/500000
149139/125000 1225591/500000 -184111/500000 -407103/1000000
14459/250000 -184111/500000 874853/500000 12111/200000
-632809/500000 -407103/1000000 12111/200000 2104957/500000


--- 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 : (F2)+(F3)
B2 : 24(F1)-61(F4)+20(F13)
B3 : (F5)+(F9)
B4 : (F6)+(F11)
B5 : (F7)+(F10)
B6 : (F8)+(F12)
B7 : 15(F1)+10(F4)-26(F13)
B8 : (F14)+(F15)
B9 : (F16)

Matrix :
926203/1000000 21907/38500000 -114407/500000 3433/200000 -220803/1000000 40971/500000 924513/38500000 -167061/500000 -72773/1000000
21907/38500000 1949987/5929000000 454613/38500000 162263/77000000 -230229/38500000 -28141/3500000 -573087/2964500000 -496003/77000000 -493751/38500000
-114407/500000 454613/38500000 46117/40000 -122551/500000 -161991/1000000 -501231/1000000 -22541/1540000 -42569/200000 -36743/62500
3433/200000 162263/77000000 -122551/500000 308627/200000 -373243/1000000 4831/100000 1431733/38500000 -427313/1000000 -113117/1000000
-220803/1000000 -230229/38500000 -161991/1000000 -373243/1000000 342283/500000 -161237/1000000 -45279/1375000 71137/200000 58197/500000
40971/500000 -28141/3500000 -501231/1000000 4831/100000 -161237/1000000 1037717/1000000 47457/1540000 -43191/250000 24849/100000
924513/38500000 -573087/2964500000 -22541/1540000 1431733/38500000 -45279/1375000 47457/1540000 445062/92640625 -110569/2750000 404449/38500000
-167061/500000 -496003/77000000 -42569/200000 -427313/1000000 71137/200000 -43191/250000 -110569/2750000 19113/20000 189931/1000000
-72773/1000000 -493751/38500000 -36743/62500 -113117/1000000 58197/500000 24849/100000 404449/38500000 189931/1000000 814829/500000


--- 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 :
147341/100000 208507/1000000 5221/25000 23031/250000 62503/1000000 -10967/250000
208507/1000000 525257/250000 246787/1000000 300747/250000 124229/1000000 -1354027/1000000
5221/25000 246787/1000000 2484351/1000000 12093/125000 17221/250000 -109867/1000000
23031/250000 300747/250000 12093/125000 2787231/1000000 5829/500000 -2318197/1000000
62503/1000000 124229/1000000 17221/250000 5829/500000 909787/1000000 22707/1000000
-10967/250000 -1354027/1000000 -109867/1000000 -2318197/1000000 22707/1000000 843891/250000


--- 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 : (F3)+(F5)
B2 : (F4)+(F6)+(F11)+(F13)
B3 : 65(F1)+50(F2)-106(F7)+50(F9)+35(F10)
B4 : (F8)+(F15)
B5 : 121(F1)-74(F2)+70(F7)-74(F9)-269(F10)
B6 : (F12)+(F14)
B7 : (F16)

Matrix :
363779/1000000 -197/25000 -160533/90500000 40933/1000000 -5659/18100000 -56961/1000000 -38909/1000000
-197/25000 46219/1000000 -48261/36200000 36639/1000000 -57333/362000000 -1589/1000000 497/500000
-160533/90500000 -48261/36200000 10394549/32761000000 -184173/18100000 982443/16380500000 -82931/45250000 67437/90500000
40933/1000000 36639/1000000 -184173/18100000 695499/1000000 -68159/45250000 8903/200000 -75753/1000000
-5659/18100000 -57333/362000000 982443/16380500000 -68159/45250000 1966301/131044000000 -60011/362000000 81119/181000000
-56961/1000000 -1589/1000000 -82931/45250000 8903/200000 -60011/362000000 59123/250000 -7787/100000
-38909/1000000 497/500000 67437/90500000 -75753/1000000 81119/181000000 -7787/100000 742767/1000000


--- 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 :
208971/250000 0/1 41083/500000 -41083/500000 -41083/500000 -96747/100000 0/1
0/1 1060741/200000 1940277/1000000 -1940277/1000000 1940277/1000000 0/1 2999/1000000
41083/500000 1940277/1000000 4499371/1000000 -2973/40000 -58363/1000000 -90123/1000000 78193/500000
-41083/500000 -1940277/1000000 -2973/40000 4499371/1000000 -2183341/500000 90123/1000000 -78193/500000
-41083/500000 1940277/1000000 -58363/1000000 -2183341/500000 4499371/1000000 90123/1000000 78193/500000
-96747/100000 0/1 -90123/1000000 90123/1000000 90123/1000000 1652713/1000000 0/1
0/1 2999/1000000 78193/500000 -78193/500000 78193/500000 0/1 715933/1000000


--- 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 :
480971/250000 -2543/125000 -275799/1000000 10669/250000 -205501/200000 -3613/31250 386063/500000 -130831/1000000 -3157/31250 -7753/1000000 -1104093/1000000 -919/10000
-2543/125000 222997/500000 987/500000 9239/250000 48681/500000 -240059/1000000 -141/31250 4679/25000 591/500000 1383/500000 -55019/1000000 -192143/500000
-275799/1000000 987/500000 795631/1000000 -20061/500000 -16009/500000 -3307/250000 50907/1000000 16121/1000000 -1807/40000 -50907/500000 -107789/1000000 -991/40000
10669/250000 9239/250000 -20061/500000 264317/1000000 -16331/200000 -603/100000 11433/125000 1437/62500 -31337/1000000 -97263/1000000 -149903/1000000 -102543/1000000
-205501/200000 48681/500000 -16009/500000 -16331/200000 1227381/500000 -295699/1000000 -1460379/1000000 21003/125000 79851/500000 31269/1000000 1710389/1000000 -59963/500000
-3613/31250 -240059/1000000 -3307/250000 -603/100000 -295699/1000000 468409/500000 117813/1000000 -129023/500000 -22979/1000000 -17989/200000 -7913/40000 140261/1000000
386063/500000 -141/31250 50907/1000000 11433/125000 -1460379/1000000 117813/1000000 1495049/1000000 -28989/200000 -5129/31250 -49287/1000000 -75943/40000 -5443/62500
-130831/1000000 4679/25000 16121/1000000 1437/62500 21003/125000 -129023/500000 -28989/200000 85667/100000 11709/1000000 -18893/200000 55431/500000 -51419/125000
-3157/31250 591/500000 -1807/40000 -31337/1000000 79851/500000 -22979/1000000 -5129/31250 11709/1000000 125707/1000000 -891/31250 102789/500000 99/12500
-7753/1000000 1383/500000 -50907/500000 -97263/1000000 31269/1000000 -17989/200000 -49287/1000000 -18893/200000 -891/31250 390517/1000000 33313/500000 -9167/500000
-1104093/1000000 -55019/1000000 -107789/1000000 -149903/1000000 1710389/1000000 -7913/40000 -75943/40000 55431/500000 102789/500000 33313/500000 748211/250000 146519/1000000
-919/10000 -192143/500000 -991/40000 -102543/1000000 -59963/500000 140261/1000000 -5443/62500 -51419/125000 99/12500 -9167/500000 146519/1000000 989339/1000000


--- 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 :
1222473/250000 235081/1000000 5152937/1000000 181129/1000000
235081/1000000 14209/31250 598197/1000000 424117/1000000
5152937/1000000 598197/1000000 9069461/1000000 660663/1000000
181129/1000000 424117/1000000 660663/1000000 1560593/1000000


--- 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 : (F7)+(F10)
B4 : (F8)+(F12)+(F14)+(F15)
B5 : (F1)-2(F16)

Matrix :
1109/12500 9687/1000000 1447/125000 -18901/500000 16867/625000
9687/1000000 11539/200000 613/100000 -22351/1000000 8811/625000
1447/125000 613/100000 280393/1000000 -3489/62500 23477/1250000
-18901/500000 -22351/1000000 -3489/62500 84999/1000000 -6989/625000
16867/625000 8811/625000 23477/1250000 -6989/625000 87387/3125000


--- 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 :
103697/500000 -17907/250000 -67883/1000000 119/50000 -119/50000 119/50000 1427/200000 -41367/1000000 -11181/1000000 13137/500000
-17907/250000 103697/500000 -67883/1000000 -119/50000 119/50000 -119/50000 1427/200000 -11181/1000000 -41367/1000000 13137/500000
-67883/1000000 -67883/1000000 103697/500000 119/50000 -119/50000 -119/50000 -1427/200000 13137/500000 13137/500000 -41367/1000000
119/50000 -119/50000 119/50000 4977/20000 -13597/125000 -70037/1000000 0/1 -32281/1000000 32281/1000000 -32281/1000000
-119/50000 119/50000 -119/50000 -13597/125000 4977/20000 -70037/1000000 0/1 32281/1000000 -32281/1000000 32281/1000000
119/50000 -119/50000 -119/50000 -70037/1000000 -70037/1000000 4977/20000 0/1 -32281/1000000 32281/1000000 32281/1000000
1427/200000 1427/200000 -1427/200000 0/1 0/1 0/1 211871/500000 -3989/200000 -3989/200000 3989/200000
-41367/1000000 -11181/1000000 13137/500000 -32281/1000000 32281/1000000 -32281/1000000 -3989/200000 517927/1000000 -150641/500000 -54161/500000
-11181/1000000 -41367/1000000 13137/500000 32281/1000000 -32281/1000000 32281/1000000 -3989/200000 -150641/500000 517927/1000000 -54161/500000
13137/500000 13137/500000 -41367/1000000 -32281/1000000 32281/1000000 32281/1000000 3989/200000 -54161/500000 -54161/500000 517927/1000000


--- 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 : 8(F1)-7(F4)-7(F6)-7(F7)-7(F10)-7(F11)-7(F13)-22(F16)

Matrix :
14287/1000000 4151/500000 298463/40375000
4151/500000 48217/250000 71027/12920000
298463/40375000 71027/12920000 214432207/52164500000


--- 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 :
253433/500000 -236793/1000000 -33759/250000 92789/250000 -92789/250000 -52993/200000 -2229/40000 -29883/250000 21907/250000
-236793/1000000 253433/500000 -33759/250000 -92789/250000 92789/250000 -52993/200000 -29883/250000 -2229/40000 21907/250000
-33759/250000 -33759/250000 253433/500000 92789/250000 92789/250000 52993/200000 21907/250000 21907/250000 -2229/40000
92789/250000 -92789/250000 92789/250000 75953/100000 0/1 0/1 62203/2000000 -62203/2000000 62203/2000000
-92789/250000 92789/250000 92789/250000 0/1 75953/100000 0/1 -31101/1000000 31101/1000000 31101/1000000
-52993/200000 -52993/200000 52993/200000 0/1 0/1 2619/5000 42861/250000 42861/250000 -42861/250000
-2229/40000 -29883/250000 21907/250000 62203/2000000 -31101/1000000 42861/250000 683209/500000 -36767/62500 -24317/62500
-29883/250000 -2229/40000 21907/250000 -62203/2000000 31101/1000000 42861/250000 -36767/62500 683209/500000 -24317/62500
21907/250000 21907/250000 -2229/40000 62203/2000000 31101/1000000 -42861/250000 -24317/62500 -24317/62500 683209/500000

