#Density : 2528492915017881345943147611/16000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 7, 8, 11, 13, 14}
Number of terms              : 19


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

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)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
31645293524556169840975151/1000000000000000000000000000 63121878382233197988627023/1000000000000000000000000000 -10565096406018811089882163/250000000000000000000000000 65628300609895443479923487/1000000000000000000000000000 -26619466065331305030048197/200000000000000000000000000 -3159548512360908840854097/200000000000000000000000000
63121878382233197988627023/1000000000000000000000000000 125907238857166522613965679/1000000000000000000000000000 -21073867743391129241330899/250000000000000000000000000 130906720973085407573631551/1000000000000000000000000000 -53097017358109411508345381/200000000000000000000000000 -6302252712089774864076081/200000000000000000000000000
-10565096406018811089882163/250000000000000000000000000 -21073867743391129241330899/250000000000000000000000000 3527262655404208463175719/62500000000000000000000000 -21910661766138669756677731/250000000000000000000000000 8887173855370831764990961/50000000000000000000000000 1054846737530916674147661/50000000000000000000000000
65628300609895443479923487/1000000000000000000000000000 130906720973085407573631551/1000000000000000000000000000 -21910661766138669756677731/250000000000000000000000000 136104720836309892263266319/1000000000000000000000000000 -55205375790078893184589589/200000000000000000000000000 -6552500434223034186017889/200000000000000000000000000
-26619466065331305030048197/200000000000000000000000000 -53097017358109411508345381/200000000000000000000000000 8887173855370831764990961/50000000000000000000000000 -55205375790078893184589589/200000000000000000000000000 22391828126146700953131959/40000000000000000000000000 2657756811176198842499259/40000000000000000000000000
-3159548512360908840854097/200000000000000000000000000 -6302252712089774864076081/200000000000000000000000000 1054846737530916674147661/50000000000000000000000000 -6552500434223034186017889/200000000000000000000000000 2657756811176198842499259/40000000000000000000000000 315457551190530210176559/40000000000000000000000000


--- Term 2 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {}
F2 : {2}
F3 : {3}
F4 : {2, 3}
F5 : {1, 2}
F6 : {1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
315457551190530210176559/40000000000000000000000000 -6552500434223034186017889/200000000000000000000000000 2657756811176198842499259/40000000000000000000000000 -6302252712089774864076081/200000000000000000000000000 1054846737530916674147661/50000000000000000000000000 -3159548512360908840854097/200000000000000000000000000
-6552500434223034186017889/200000000000000000000000000 136104720836309892263266319/1000000000000000000000000000 -55205375790078893184589589/200000000000000000000000000 130906720973085407573631551/1000000000000000000000000000 -21910661766138669756677731/250000000000000000000000000 65628300609895443479923487/1000000000000000000000000000
2657756811176198842499259/40000000000000000000000000 -55205375790078893184589589/200000000000000000000000000 22391828126146700953131959/40000000000000000000000000 -53097017358109411508345381/200000000000000000000000000 8887173855370831764990961/50000000000000000000000000 -26619466065331305030048197/200000000000000000000000000
-6302252712089774864076081/200000000000000000000000000 130906720973085407573631551/1000000000000000000000000000 -53097017358109411508345381/200000000000000000000000000 125907238857166522613965679/1000000000000000000000000000 -21073867743391129241330899/250000000000000000000000000 63121878382233197988627023/1000000000000000000000000000
1054846737530916674147661/50000000000000000000000000 -21910661766138669756677731/250000000000000000000000000 8887173855370831764990961/50000000000000000000000000 -21073867743391129241330899/250000000000000000000000000 3527262655404208463175719/62500000000000000000000000 -10565096406018811089882163/250000000000000000000000000
-3159548512360908840854097/200000000000000000000000000 65628300609895443479923487/1000000000000000000000000000 -26619466065331305030048197/200000000000000000000000000 63121878382233197988627023/1000000000000000000000000000 -10565096406018811089882163/250000000000000000000000000 31645293524556169840975151/1000000000000000000000000000


--- Term 3 ---

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

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

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)

Matrix :
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1


--- Term 4 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

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

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)

Matrix :
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 0/1


--- 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 : (F2)-(F1)

Matrix :
0/1


--- Term 6 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

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

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)

Matrix :
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 0/1


--- Term 7 ---

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

Flags :
F1 : {2}
F2 : {3}

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- 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 :
1183566285969308450244087859/1000000000000000000000000000 30548723117072912726367921/15625000000000000000000000 -12829788230799451360205939/250000000000000000000000000 271583929914082533666990249/1000000000000000000000000000 -597171843703712304553002057/1000000000000000000000000000 -108579409886223869853828927/1000000000000000000000000000 -188139071335656474544330883/500000000000000000000000000 -327846121891451883227609581/125000000000000000000000000 -26745638077105468917496267/62500000000000000000000000 -13958049381177964488389967/62500000000000000000000000 -235724862959336331608551407/1000000000000000000000000000 34638891777642872393991741/62500000000000000000000000
30548723117072912726367921/15625000000000000000000000 835153320707138465545798699/250000000000000000000000000 60144611456244804829131551/1000000000000000000000000000 181579063971516800071300569/500000000000000000000000000 -440417947361586516807521123/500000000000000000000000000 -174238003455817194506141233/500000000000000000000000000 -763457034943843060655290027/1000000000000000000000000000 -851309964579753717192876287/200000000000000000000000000 -551619839414853200547248061/1000000000000000000000000000 -249234453031872370017440663/500000000000000000000000000 -257873518257992540054901601/500000000000000000000000000 553411510075719104265227917/500000000000000000000000000
-12829788230799451360205939/250000000000000000000000000 60144611456244804829131551/1000000000000000000000000000 216458664616501998232317097/1000000000000000000000000000 -4544977563650796639088179/31250000000000000000000000 8950772587296935715107009/50000000000000000000000000 -109693653316908723854162663/500000000000000000000000000 -197084594908660521948864481/1000000000000000000000000000 216234331705248871136941617/1000000000000000000000000000 51635246553898399692365653/200000000000000000000000000 -178689257655315068734332971/1000000000000000000000000000 -19784510560106349514863953/125000000000000000000000000 57342335747120859802014117/250000000000000000000000000
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-235724862959336331608551407/1000000000000000000000000000 -257873518257992540054901601/500000000000000000000000000 -19784510560106349514863953/125000000000000000000000000 1852311892907497404105759/40000000000000000000000000 -3451720041482756536930807/1000000000000000000000000000 42926125593166185296377727/200000000000000000000000000 120212730732634728746536213/500000000000000000000000000 54425522167206943367253787/125000000000000000000000000 -24179597184379309631903259/250000000000000000000000000 97336377087227926894128943/500000000000000000000000000 191302761791466635364952951/1000000000000000000000000000 -82175709514679526987431683/250000000000000000000000000
34638891777642872393991741/62500000000000000000000000 553411510075719104265227917/500000000000000000000000000 57342335747120859802014117/250000000000000000000000000 -182206793286916390586739/7812500000000000000000000 -11921855351469821778276583/125000000000000000000000000 -171420705329444741428779629/500000000000000000000000000 -212411030998655796594776997/500000000000000000000000000 -548357780704556901774684629/500000000000000000000000000 7256618725199575341376347/100000000000000000000000000 -165331120009735828427667697/500000000000000000000000000 -82175709514679526987431683/250000000000000000000000000 294913836809392406175550269/500000000000000000000000000


--- 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 : (F3)-(F1)
B2 : (F4)-(F2)
B3 : (F7)-(F5)
B4 : (F8)-(F6)

Matrix :
96597255070933387418675557/125000000000000000000000000 43282776639500693012453657/250000000000000000000000000 181704268235610725766788393/250000000000000000000000000 -4042495173347623911269527/62500000000000000000000000
43282776639500693012453657/250000000000000000000000000 38787825849693781979728919/1000000000000000000000000000 162834135415352565048965261/1000000000000000000000000000 -3622678832236294232165779/250000000000000000000000000
181704268235610725766788393/250000000000000000000000000 162834135415352565048965261/1000000000000000000000000000 683589633489980824807216439/1000000000000000000000000000 -15208271014869646093623721/250000000000000000000000000
-4042495173347623911269527/62500000000000000000000000 -3622678832236294232165779/250000000000000000000000000 -15208271014869646093623721/250000000000000000000000000 100915375280117956190534519/62500000000000000000000000


--- Term 10 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 10

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

Matrix :
542916513190067765743063907/250000000000000000000000000 35493867343526660462374687/50000000000000000000000000 -44061207492161859067151973/125000000000000000000000000 -110984466929161996367645317/500000000000000000000000000 1739687209317725608063469/20000000000000000000000000 1349664910407533297197963/15625000000000000000000000 -9456144524379424378113071/25000000000000000000000000 -301506374647798185544482827/500000000000000000000000000 -191367732079325217570499027/500000000000000000000000000 -298947795069373073670016473/250000000000000000000000000
35493867343526660462374687/50000000000000000000000000 2416414037897455361069942639/500000000000000000000000000 23094200620086263876297107/250000000000000000000000000 515833040151241794603983377/1000000000000000000000000000 -33272677667472635483838453/200000000000000000000000000 27959022004627432386626217/125000000000000000000000000 -138776472879061123603082401/31250000000000000000000000 -752929737758760767858071413/1000000000000000000000000000 -854321252810727022926947293/1000000000000000000000000000 -9456144524379424378113071/25000000000000000000000000
-44061207492161859067151973/125000000000000000000000000 23094200620086263876297107/250000000000000000000000000 144016108769873118984882373/62500000000000000000000000 -100635815015778784352917413/250000000000000000000000000 -190565382703706469057663339/250000000000000000000000000 11955601600878271486843083/25000000000000000000000000 23094200620086263876297107/250000000000000000000000000 -119243936168323620029663679/250000000000000000000000000 -100635815015778784352917413/250000000000000000000000000 -44061207492161859067151973/125000000000000000000000000
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-298947795069373073670016473/250000000000000000000000000 -9456144524379424378113071/25000000000000000000000000 -44061207492161859067151973/125000000000000000000000000 -191367732079325217570499027/500000000000000000000000000 1739687209317725608063469/20000000000000000000000000 1349664910407533297197963/15625000000000000000000000 35493867343526660462374687/50000000000000000000000000 -301506374647798185544482827/500000000000000000000000000 -110984466929161996367645317/500000000000000000000000000 542916513190067765743063907/250000000000000000000000000


--- 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 : (F2)-(F1)
B2 : (F7)-(F3)
B3 : (F9)-(F4)
B4 : (F8)-(F5)
B5 : (F10)-(F6)
B6 : (F12)-(F11)

Matrix :
7220030993037039971238573143/1000000000000000000000000000 263923025261162298119032287/1000000000000000000000000000 894189142464612211097997211/1000000000000000000000000000 -304602799488047013648843/25000000000000000000000000 1443949134105293508245458171/200000000000000000000000000 271187936994920590239888927/1000000000000000000000000000
263923025261162298119032287/1000000000000000000000000000 601005219934091547576615377/1000000000000000000000000000 33136968073224048894823803/1000000000000000000000000000 162700935036477803419476053/500000000000000000000000000 271187936994920590239888927/1000000000000000000000000000 -581175014204582301723805139/1000000000000000000000000000
894189142464612211097997211/1000000000000000000000000000 33136968073224048894823803/1000000000000000000000000000 1643920481499946696288070279/1000000000000000000000000000 0/1 894189142464612211097997211/1000000000000000000000000000 33136968073224048894823803/1000000000000000000000000000
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1443949134105293508245458171/200000000000000000000000000 271187936994920590239888927/1000000000000000000000000000 894189142464612211097997211/1000000000000000000000000000 304602799488047013648843/25000000000000000000000000 7220030993037039971238573143/1000000000000000000000000000 263923025261162298119032287/1000000000000000000000000000
271187936994920590239888927/1000000000000000000000000000 -581175014204582301723805139/1000000000000000000000000000 33136968073224048894823803/1000000000000000000000000000 -162700935036477803419476053/500000000000000000000000000 263923025261162298119032287/1000000000000000000000000000 601005219934091547576615377/1000000000000000000000000000


--- Term 12 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 9

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 : (F7)
B6 : (F8)+(F15)
B7 : (F10)
B8 : (F12)+(F14)
B9 : (F16)

Matrix :
60696833425796401446961539/1000000000000000000000000000 -147352623525085690940215203/1000000000000000000000000000 421147095172997199306175107/1000000000000000000000000000 -54172868841886168939210209/1000000000000000000000000000 99922973922792151408683477/1000000000000000000000000000 421147095172997199306175107/1000000000000000000000000000 -55526888205749393113831209/500000000000000000000000000 -147352623525085690940215203/1000000000000000000000000000 60696833425796401446961539/1000000000000000000000000000
-147352623525085690940215203/1000000000000000000000000000 357725344704681256000686531/1000000000000000000000000000 -1022411316392257734885810339/1000000000000000000000000000 131514510678570200551913793/1000000000000000000000000000 -242581227502626587909915829/1000000000000000000000000000 -1022411316392257734885810339/1000000000000000000000000000 134801639418373908269030793/500000000000000000000000000 357725344704681256000686531/1000000000000000000000000000 -147352623525085690940215203/1000000000000000000000000000
421147095172997199306175107/1000000000000000000000000000 -1022411316392257734885810339/1000000000000000000000000000 2922143804906843232692642691/1000000000000000000000000000 -375880339422316038412910817/1000000000000000000000000000 693319038794302689833484501/1000000000000000000000000000 2922143804906843232692642691/1000000000000000000000000000 -385275249992010297151883817/500000000000000000000000000 -1022411316392257734885810339/1000000000000000000000000000 421147095172997199306175107/1000000000000000000000000000
-54172868841886168939210209/1000000000000000000000000000 131514510678570200551913793/1000000000000000000000000000 -375880339422316038412910817/1000000000000000000000000000 48350128876952944569743979/1000000000000000000000000000 -89182809960396311987245287/1000000000000000000000000000 -375880339422316038412910817/1000000000000000000000000000 49558612240382610180494979/500000000000000000000000000 131514510678570200551913793/1000000000000000000000000000 -54172868841886168939210209/1000000000000000000000000000
99922973922792151408683477/1000000000000000000000000000 -242581227502626587909915829/1000000000000000000000000000 693319038794302689833484501/1000000000000000000000000000 -89182809960396311987245287/1000000000000000000000000000 164499532414346748033003411/1000000000000000000000000000 693319038794302689833484501/1000000000000000000000000000 -91411882449847771870648287/500000000000000000000000000 -242581227502626587909915829/1000000000000000000000000000 99922973922792151408683477/1000000000000000000000000000
421147095172997199306175107/1000000000000000000000000000 -1022411316392257734885810339/1000000000000000000000000000 2922143804906843232692642691/1000000000000000000000000000 -375880339422316038412910817/1000000000000000000000000000 693319038794302689833484501/1000000000000000000000000000 2922143804906843232692642691/1000000000000000000000000000 -385275249992010297151883817/500000000000000000000000000 -1022411316392257734885810339/1000000000000000000000000000 421147095172997199306175107/1000000000000000000000000000
-55526888205749393113831209/500000000000000000000000000 134801639418373908269030793/500000000000000000000000000 -385275249992010297151883817/500000000000000000000000000 49558612240382610180494979/500000000000000000000000000 -91411882449847771870648287/500000000000000000000000000 -385275249992010297151883817/500000000000000000000000000 50797300942941835410245979/250000000000000000000000000 134801639418373908269030793/500000000000000000000000000 -55526888205749393113831209/500000000000000000000000000
-147352623525085690940215203/1000000000000000000000000000 357725344704681256000686531/1000000000000000000000000000 -1022411316392257734885810339/1000000000000000000000000000 131514510678570200551913793/1000000000000000000000000000 -242581227502626587909915829/1000000000000000000000000000 -1022411316392257734885810339/1000000000000000000000000000 134801639418373908269030793/500000000000000000000000000 357725344704681256000686531/1000000000000000000000000000 -147352623525085690940215203/1000000000000000000000000000
60696833425796401446961539/1000000000000000000000000000 -147352623525085690940215203/1000000000000000000000000000 421147095172997199306175107/1000000000000000000000000000 -54172868841886168939210209/1000000000000000000000000000 99922973922792151408683477/1000000000000000000000000000 421147095172997199306175107/1000000000000000000000000000 -55526888205749393113831209/500000000000000000000000000 -147352623525085690940215203/1000000000000000000000000000 60696833425796401446961539/1000000000000000000000000000


--- 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 : (F7)-(F1)
B2 : (F4)-(F2)
B3 : (F5)-(F3)
B4 : (F8)-(F3)
B5 : (F10)-(F3)
B6 : (F12)-(F6)
B7 : (F11)-(F9)

Matrix :
421910642260933750225907/3906250000000000000000000 -23087513135678845539/1000000000000000000000000000 7656434285010888827019193/200000000000000000000000000 -7656283394093017687563391/200000000000000000000000000 -7656430201910361911876341/200000000000000000000000000 86884443242100568769945191/1000000000000000000000000000 -14353764053342110179/500000000000000000000000000
-23087513135678845539/1000000000000000000000000000 69891377400851371067935483/1000000000000000000000000000 -7698561712775255150572501/250000000000000000000000000 7698713252996729287152757/250000000000000000000000000 -7698709148293476493014661/250000000000000000000000000 -742708647590565091/40000000000000000000000000 86884443242100568769945191/1000000000000000000000000000
7656434285010888827019193/200000000000000000000000000 -7698561712775255150572501/250000000000000000000000000 563725190398955113237308149/500000000000000000000000000 107317735949996173403041217/100000000000000000000000000 -4298102100758427869377923/3906250000000000000000000 7698713252996729287152757/250000000000000000000000000 -7656283394093017687563391/200000000000000000000000000
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-7656430201910361911876341/200000000000000000000000000 -7698709148293476493014661/250000000000000000000000000 -4298102100758427869377923/3906250000000000000000000 -4298102100758427869377923/3906250000000000000000000 563725450784958576054115133/500000000000000000000000000 -7698709148293476493014661/250000000000000000000000000 -7656430201910361911876341/200000000000000000000000000
86884443242100568769945191/1000000000000000000000000000 -742708647590565091/40000000000000000000000000 7698713252996729287152757/250000000000000000000000000 -7698561712775255150572501/250000000000000000000000000 -7698709148293476493014661/250000000000000000000000000 69891377400851371067935483/1000000000000000000000000000 -23087513135678845539/1000000000000000000000000000
-14353764053342110179/500000000000000000000000000 86884443242100568769945191/1000000000000000000000000000 -7656283394093017687563391/200000000000000000000000000 7656434285010888827019193/200000000000000000000000000 -7656430201910361911876341/200000000000000000000000000 -23087513135678845539/1000000000000000000000000000 421910642260933750225907/3906250000000000000000000


--- 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 :
294913836809392406175550269/500000000000000000000000000 -171420705329444741428779629/500000000000000000000000000 -165331120009735828427667697/500000000000000000000000000 -182206793286916390586739/7812500000000000000000000 -548357780704556901774684629/500000000000000000000000000 553411510075719104265227917/500000000000000000000000000 -82175709514679526987431683/250000000000000000000000000 -11921855351469821778276583/125000000000000000000000000 7256618725199575341376347/100000000000000000000000000 57342335747120859802014117/250000000000000000000000000 -212411030998655796594776997/500000000000000000000000000 34638891777642872393991741/62500000000000000000000000
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-165331120009735828427667697/500000000000000000000000000 110207763657324289364136427/500000000000000000000000000 158035576459133724118850821/250000000000000000000000000 6546885378536314797520977/100000000000000000000000000 403666739461953311263832023/1000000000000000000000000000 -249234453031872370017440663/500000000000000000000000000 97336377087227926894128943/500000000000000000000000000 -11146856235428936751751483/500000000000000000000000000 -128827281654284873041168491/1000000000000000000000000000 -178689257655315068734332971/1000000000000000000000000000 16474563712383560239965791/200000000000000000000000000 -13958049381177964488389967/62500000000000000000000000
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34638891777642872393991741/62500000000000000000000000 -108579409886223869853828927/1000000000000000000000000000 -13958049381177964488389967/62500000000000000000000000 271583929914082533666990249/1000000000000000000000000000 -327846121891451883227609581/125000000000000000000000000 30548723117072912726367921/15625000000000000000000000 -235724862959336331608551407/1000000000000000000000000000 -597171843703712304553002057/1000000000000000000000000000 -26745638077105468917496267/62500000000000000000000000 -12829788230799451360205939/250000000000000000000000000 -188139071335656474544330883/500000000000000000000000000 1183566285969308450244087859/1000000000000000000000000000


--- 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 : (F3)-(F1)
B2 : (F4)-(F2)
B3 : (F7)-(F5)
B4 : (F8)-(F6)

Matrix :
100915375280117956190534519/62500000000000000000000000 -3622678832236294232165779/250000000000000000000000000 -15208271014869646093623721/250000000000000000000000000 -4042495173347623911269527/62500000000000000000000000
-3622678832236294232165779/250000000000000000000000000 38787825849693781979728919/1000000000000000000000000000 162834135415352565048965261/1000000000000000000000000000 43282776639500693012453657/250000000000000000000000000
-15208271014869646093623721/250000000000000000000000000 162834135415352565048965261/1000000000000000000000000000 683589633489980824807216439/1000000000000000000000000000 181704268235610725766788393/250000000000000000000000000
-4042495173347623911269527/62500000000000000000000000 43282776639500693012453657/250000000000000000000000000 181704268235610725766788393/250000000000000000000000000 96597255070933387418675557/125000000000000000000000000


--- Term 16 ---

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

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

Matrix :
797087978531727599115258483/1000000000000000000000000000 81584913962683649615217657/1000000000000000000000000000 -63255555282621252617987151/1000000000000000000000000000 -333232261395936795824579133/500000000000000000000000000 141548030894501348812337013/500000000000000000000000000 -345945470916787051756644303/1000000000000000000000000000
81584913962683649615217657/1000000000000000000000000000 8350518845559971788454919/1000000000000000000000000000 -6474440929669126230342687/1000000000000000000000000000 -17053779575033360415869757/250000000000000000000000000 14487966489455105119212117/500000000000000000000000000 -35408803345040931451051287/1000000000000000000000000000
-63255555282621252617987151/1000000000000000000000000000 -6474440929669126230342687/1000000000000000000000000000 25179445620307871263890813/500000000000000000000000000 52889498512306759376043159/1000000000000000000000000000 -5616506290731127380370803/250000000000000000000000000 13726824040132675824927183/500000000000000000000000000
-333232261395936795824579133/500000000000000000000000000 -17053779575033360415869757/250000000000000000000000000 52889498512306759376043159/1000000000000000000000000000 557247094553339423738181363/1000000000000000000000000000 -118351729549360159181873061/500000000000000000000000000 289253369008612079905232931/1000000000000000000000000000
141548030894501348812337013/500000000000000000000000000 14487966489455105119212117/500000000000000000000000000 -5616506290731127380370803/250000000000000000000000000 -118351729549360159181873061/500000000000000000000000000 12568151565287465795556909/125000000000000000000000000 -30716747413091900093584329/250000000000000000000000000
-345945470916787051756644303/1000000000000000000000000000 -35408803345040931451051287/1000000000000000000000000000 13726824040132675824927183/500000000000000000000000000 289253369008612079905232931/1000000000000000000000000000 -30716747413091900093584329/250000000000000000000000000 75072182789841081276458649/500000000000000000000000000


--- 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  : (F2)-(F1)
B2  : (F4)-(F1)
B3  : (F8)-(F1)
B4  : (F5)-(F3)
B5  : (F10)-(F3)
B6  : (F12)-(F3)
B7  : (F9)-(F6)
B8  : (F11)-(F7)
B9  : (F13)-(F7)
B10 : (F14)-(F7)

Matrix :
438673386585013044761201401/500000000000000000000000000 -438673386585013044761201401/500000000000000000000000000 65817194763137907/12500000000000000000000000 1156527420487315813350583/62500000000000000000000000 -1156530142124271565834423/62500000000000000000000000 925221740464094106069569/50000000000000000000000000 0/1 22799920685770403064988061/125000000000000000000000000 -22799920685770403064988061/125000000000000000000000000 1442678090350074787/250000000000000000000000000
-438673386585013044761201401/500000000000000000000000000 438673386585013044761201401/500000000000000000000000000 -65817194763137907/12500000000000000000000000 -1156527420487315813350583/62500000000000000000000000 1156530142124271565834423/62500000000000000000000000 -925221740464094106069569/50000000000000000000000000 0/1 -22799920685770403064988061/125000000000000000000000000 22799920685770403064988061/125000000000000000000000000 -1442678090350074787/250000000000000000000000000
65817194763137907/12500000000000000000000000 -65817194763137907/12500000000000000000000000 438672071424024440740727957/500000000000000000000000000 9252215780595159081424871/500000000000000000000000000 -9252198690636529723059461/500000000000000000000000000 -9252197254016774665599711/500000000000000000000000000 0/1 1919827417480669969/500000000000000000000000000 -1919827417480669969/500000000000000000000000000 91199532617596363461835467/500000000000000000000000000
1156527420487315813350583/62500000000000000000000000 -1156527420487315813350583/62500000000000000000000000 9252215780595159081424871/500000000000000000000000000 354089037176547248765715541/1000000000000000000000000000 -57723920947922917727666023/500000000000000000000000000 -59660408632083815976583033/500000000000000000000000000 0/1 -9113521993331460669942953/1000000000000000000000000000 9113521993331460669942953/1000000000000000000000000000 -1139185763913529685986637/125000000000000000000000000
-1156530142124271565834423/62500000000000000000000000 1156530142124271565834423/62500000000000000000000000 -9252198690636529723059461/500000000000000000000000000 -57723920947922917727666023/500000000000000000000000000 177044519345625392671808761/500000000000000000000000000 -59660412327985555790978853/500000000000000000000000000 0/1 4556736188552976594245339/500000000000000000000000000 -4556736188552976594245339/500000000000000000000000000 911353386424568817260221/100000000000000000000000000
925221740464094106069569/50000000000000000000000000 -925221740464094106069569/50000000000000000000000000 -9252197254016774665599711/500000000000000000000000000 -59660408632083815976583033/500000000000000000000000000 -59660412327985555790978853/500000000000000000000000000 177044492523318023007902687/500000000000000000000000000 0/1 -4556762915642364250044157/500000000000000000000000000 4556762915642364250044157/500000000000000000000000000 4556769006331074880270117/500000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
22799920685770403064988061/125000000000000000000000000 -22799920685770403064988061/125000000000000000000000000 1919827417480669969/500000000000000000000000000 -9113521993331460669942953/1000000000000000000000000000 4556736188552976594245339/500000000000000000000000000 -4556762915642364250044157/500000000000000000000000000 0/1 199416167911585082005538327/1000000000000000000000000000 -199416167911585082005538327/1000000000000000000000000000 3041205479007528883/500000000000000000000000000
-22799920685770403064988061/125000000000000000000000000 22799920685770403064988061/125000000000000000000000000 -1919827417480669969/500000000000000000000000000 9113521993331460669942953/1000000000000000000000000000 -4556736188552976594245339/500000000000000000000000000 4556762915642364250044157/500000000000000000000000000 0/1 -199416167911585082005538327/1000000000000000000000000000 199416167911585082005538327/1000000000000000000000000000 -3041205479007528883/500000000000000000000000000
1442678090350074787/250000000000000000000000000 -1442678090350074787/250000000000000000000000000 91199532617596363461835467/500000000000000000000000000 -1139185763913529685986637/125000000000000000000000000 911353386424568817260221/100000000000000000000000000 4556769006331074880270117/500000000000000000000000000 0/1 3041205479007528883/500000000000000000000000000 -3041205479007528883/500000000000000000000000000 49854028811171920274877479/250000000000000000000000000


--- Term 18 ---

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

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

Matrix :
75072182789841081276458649/500000000000000000000000000 -30716747413091900093584329/250000000000000000000000000 13726824040132675824927183/500000000000000000000000000 289253369008612079905232931/1000000000000000000000000000 -35408803345040931451051287/1000000000000000000000000000 -345945470916787051756644303/1000000000000000000000000000
-30716747413091900093584329/250000000000000000000000000 12568151565287465795556909/125000000000000000000000000 -5616506290731127380370803/250000000000000000000000000 -118351729549360159181873061/500000000000000000000000000 14487966489455105119212117/500000000000000000000000000 141548030894501348812337013/500000000000000000000000000
13726824040132675824927183/500000000000000000000000000 -5616506290731127380370803/250000000000000000000000000 25179445620307871263890813/500000000000000000000000000 52889498512306759376043159/1000000000000000000000000000 -6474440929669126230342687/1000000000000000000000000000 -63255555282621252617987151/1000000000000000000000000000
289253369008612079905232931/1000000000000000000000000000 -118351729549360159181873061/500000000000000000000000000 52889498512306759376043159/1000000000000000000000000000 557247094553339423738181363/1000000000000000000000000000 -17053779575033360415869757/250000000000000000000000000 -333232261395936795824579133/500000000000000000000000000
-35408803345040931451051287/1000000000000000000000000000 14487966489455105119212117/500000000000000000000000000 -6474440929669126230342687/1000000000000000000000000000 -17053779575033360415869757/250000000000000000000000000 8350518845559971788454919/1000000000000000000000000000 81584913962683649615217657/1000000000000000000000000000
-345945470916787051756644303/1000000000000000000000000000 141548030894501348812337013/500000000000000000000000000 -63255555282621252617987151/1000000000000000000000000000 -333232261395936795824579133/500000000000000000000000000 81584913962683649615217657/1000000000000000000000000000 797087978531727599115258483/1000000000000000000000000000


--- 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  : (F2)-(F1)
B2  : (F4)-(F1)
B3  : (F8)-(F1)
B4  : (F5)-(F3)
B5  : (F10)-(F3)
B6  : (F12)-(F3)
B7  : (F9)-(F6)
B8  : (F11)-(F7)
B9  : (F13)-(F7)
B10 : (F14)-(F7)

Matrix :
199416167911585082005538327/1000000000000000000000000000 -199416167911585082005538327/1000000000000000000000000000 3041205479007528883/500000000000000000000000000 -9113521993331460669942953/1000000000000000000000000000 4556736188552976594245339/500000000000000000000000000 -4556762915642364250044157/500000000000000000000000000 0/1 22799920685770403064988061/125000000000000000000000000 -22799920685770403064988061/125000000000000000000000000 1919827417480669969/500000000000000000000000000
-199416167911585082005538327/1000000000000000000000000000 199416167911585082005538327/1000000000000000000000000000 -3041205479007528883/500000000000000000000000000 9113521993331460669942953/1000000000000000000000000000 -4556736188552976594245339/500000000000000000000000000 4556762915642364250044157/500000000000000000000000000 0/1 -22799920685770403064988061/125000000000000000000000000 22799920685770403064988061/125000000000000000000000000 -1919827417480669969/500000000000000000000000000
3041205479007528883/500000000000000000000000000 -3041205479007528883/500000000000000000000000000 49854028811171920274877479/250000000000000000000000000 -1139185763913529685986637/125000000000000000000000000 911353386424568817260221/100000000000000000000000000 4556769006331074880270117/500000000000000000000000000 0/1 1442678090350074787/250000000000000000000000000 -1442678090350074787/250000000000000000000000000 91199532617596363461835467/500000000000000000000000000
-9113521993331460669942953/1000000000000000000000000000 9113521993331460669942953/1000000000000000000000000000 -1139185763913529685986637/125000000000000000000000000 354089037176547248765715541/1000000000000000000000000000 -57723920947922917727666023/500000000000000000000000000 -59660408632083815976583033/500000000000000000000000000 0/1 1156527420487315813350583/62500000000000000000000000 -1156527420487315813350583/62500000000000000000000000 9252215780595159081424871/500000000000000000000000000
4556736188552976594245339/500000000000000000000000000 -4556736188552976594245339/500000000000000000000000000 911353386424568817260221/100000000000000000000000000 -57723920947922917727666023/500000000000000000000000000 177044519345625392671808761/500000000000000000000000000 -59660412327985555790978853/500000000000000000000000000 0/1 -1156530142124271565834423/62500000000000000000000000 1156530142124271565834423/62500000000000000000000000 -9252198690636529723059461/500000000000000000000000000
-4556762915642364250044157/500000000000000000000000000 4556762915642364250044157/500000000000000000000000000 4556769006331074880270117/500000000000000000000000000 -59660408632083815976583033/500000000000000000000000000 -59660412327985555790978853/500000000000000000000000000 177044492523318023007902687/500000000000000000000000000 0/1 925221740464094106069569/50000000000000000000000000 -925221740464094106069569/50000000000000000000000000 -9252197254016774665599711/500000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
22799920685770403064988061/125000000000000000000000000 -22799920685770403064988061/125000000000000000000000000 1442678090350074787/250000000000000000000000000 1156527420487315813350583/62500000000000000000000000 -1156530142124271565834423/62500000000000000000000000 925221740464094106069569/50000000000000000000000000 0/1 438673386585013044761201401/500000000000000000000000000 -438673386585013044761201401/500000000000000000000000000 65817194763137907/12500000000000000000000000
-22799920685770403064988061/125000000000000000000000000 22799920685770403064988061/125000000000000000000000000 -1442678090350074787/250000000000000000000000000 -1156527420487315813350583/62500000000000000000000000 1156530142124271565834423/62500000000000000000000000 -925221740464094106069569/50000000000000000000000000 0/1 -438673386585013044761201401/500000000000000000000000000 438673386585013044761201401/500000000000000000000000000 -65817194763137907/12500000000000000000000000
1919827417480669969/500000000000000000000000000 -1919827417480669969/500000000000000000000000000 91199532617596363461835467/500000000000000000000000000 9252215780595159081424871/500000000000000000000000000 -9252198690636529723059461/500000000000000000000000000 -9252197254016774665599711/500000000000000000000000000 0/1 65817194763137907/12500000000000000000000000 -65817194763137907/12500000000000000000000000 438672071424024440740727957/500000000000000000000000000

