#Density : 6385214581891134837697409957/32000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 7, 8, 10, 11, 13, 15}
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 :
19358432073180960558148633/50000000000000000000000000 0/1 -499772155905706578567783/12500000000000000000000000 0/1 -19358432073180960558148633/50000000000000000000000000 499772155905706578567783/12500000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
-499772155905706578567783/12500000000000000000000000 0/1 12902501962680675569433/3125000000000000000000000 0/1 499772155905706578567783/12500000000000000000000000 -12902501962680675569433/3125000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
-19358432073180960558148633/50000000000000000000000000 0/1 499772155905706578567783/12500000000000000000000000 0/1 19358432073180960558148633/50000000000000000000000000 -499772155905706578567783/12500000000000000000000000
499772155905706578567783/12500000000000000000000000 0/1 -12902501962680675569433/3125000000000000000000000 0/1 -499772155905706578567783/12500000000000000000000000 12902501962680675569433/3125000000000000000000000


--- 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 :
12902501962680675569433/3125000000000000000000000 0/1 -499772155905706578567783/12500000000000000000000000 0/1 -12902501962680675569433/3125000000000000000000000 499772155905706578567783/12500000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
-499772155905706578567783/12500000000000000000000000 0/1 19358432073180960558148633/50000000000000000000000000 0/1 499772155905706578567783/12500000000000000000000000 -19358432073180960558148633/50000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
-12902501962680675569433/3125000000000000000000000 0/1 499772155905706578567783/12500000000000000000000000 0/1 12902501962680675569433/3125000000000000000000000 -499772155905706578567783/12500000000000000000000000
499772155905706578567783/12500000000000000000000000 0/1 -19358432073180960558148633/50000000000000000000000000 0/1 -499772155905706578567783/12500000000000000000000000 19358432073180960558148633/50000000000000000000000000


--- 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 :
2008298413100031496022209673/1000000000000000000000000000 329815969776174102859560207/200000000000000000000000000 0/1 677821464594239209371112111/200000000000000000000000000 -2008298413100031496022209673/1000000000000000000000000000 488546002042753283162163777/1000000000000000000000000000 -1818842463557287215816291/3906250000000000000000000 672300038785635241155899703/1000000000000000000000000000 -677821464594239209371112111/200000000000000000000000000 -29205633485003164226877393/1000000000000000000000000000 -329815969776174102859560207/200000000000000000000000000 -672300038785635241155899703/1000000000000000000000000000
329815969776174102859560207/200000000000000000000000000 241490392065038069064267463/100000000000000000000000000 0/1 469775497043471940312817919/200000000000000000000000000 -329815969776174102859560207/200000000000000000000000000 54650421778757426114607707/250000000000000000000000000 -213667318863738703454968239/1000000000000000000000000000 1078242638762650603362867587/1000000000000000000000000000 -469775497043471940312817919/200000000000000000000000000 -13892245711523625716471727/1000000000000000000000000000 -241490392065038069064267463/100000000000000000000000000 -1078242638762650603362867587/1000000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
677821464594239209371112111/200000000000000000000000000 469775497043471940312817919/200000000000000000000000000 0/1 5896880167428918093747260653/1000000000000000000000000000 -677821464594239209371112111/200000000000000000000000000 899142147164007425221219209/1000000000000000000000000000 -85477718977340181361394359/100000000000000000000000000 919244590874707870990527213/1000000000000000000000000000 -5896880167428918093747260653/1000000000000000000000000000 -53414190210457535607725307/1000000000000000000000000000 -469775497043471940312817919/200000000000000000000000000 -919244590874707870990527213/1000000000000000000000000000
-2008298413100031496022209673/1000000000000000000000000000 -329815969776174102859560207/200000000000000000000000000 0/1 -677821464594239209371112111/200000000000000000000000000 2008298413100031496022209673/1000000000000000000000000000 -488546002042753283162163777/1000000000000000000000000000 1818842463557287215816291/3906250000000000000000000 -672300038785635241155899703/1000000000000000000000000000 677821464594239209371112111/200000000000000000000000000 29205633485003164226877393/1000000000000000000000000000 329815969776174102859560207/200000000000000000000000000 672300038785635241155899703/1000000000000000000000000000
488546002042753283162163777/1000000000000000000000000000 54650421778757426114607707/250000000000000000000000000 0/1 899142147164007425221219209/1000000000000000000000000000 -488546002042753283162163777/1000000000000000000000000000 13644668091094655677866417/25000000000000000000000000 -36846027856546272188589683/200000000000000000000000000 2919569944835936774735611/40000000000000000000000000 -899142147164007425221219209/1000000000000000000000000000 -84746062841949629184435053/1000000000000000000000000000 -54650421778757426114607707/250000000000000000000000000 -2919569944835936774735611/40000000000000000000000000
-1818842463557287215816291/3906250000000000000000000 -213667318863738703454968239/1000000000000000000000000000 0/1 -85477718977340181361394359/100000000000000000000000000 1818842463557287215816291/3906250000000000000000000 -36846027856546272188589683/200000000000000000000000000 469808464046978331224187013/1000000000000000000000000000 -36102356376330658016027891/500000000000000000000000000 85477718977340181361394359/100000000000000000000000000 -562360653373181529360027/10000000000000000000000000 213667318863738703454968239/1000000000000000000000000000 36102356376330658016027891/500000000000000000000000000
672300038785635241155899703/1000000000000000000000000000 1078242638762650603362867587/1000000000000000000000000000 0/1 919244590874707870990527213/1000000000000000000000000000 -672300038785635241155899703/1000000000000000000000000000 2919569944835936774735611/40000000000000000000000000 -36102356376330658016027891/500000000000000000000000000 486073895903251168334630271/1000000000000000000000000000 -919244590874707870990527213/1000000000000000000000000000 -4772126293394507797200751/1000000000000000000000000000 -1078242638762650603362867587/1000000000000000000000000000 -486073895903251168334630271/1000000000000000000000000000
-677821464594239209371112111/200000000000000000000000000 -469775497043471940312817919/200000000000000000000000000 0/1 -5896880167428918093747260653/1000000000000000000000000000 677821464594239209371112111/200000000000000000000000000 -899142147164007425221219209/1000000000000000000000000000 85477718977340181361394359/100000000000000000000000000 -919244590874707870990527213/1000000000000000000000000000 5896880167428918093747260653/1000000000000000000000000000 53414190210457535607725307/1000000000000000000000000000 469775497043471940312817919/200000000000000000000000000 919244590874707870990527213/1000000000000000000000000000
-29205633485003164226877393/1000000000000000000000000000 -13892245711523625716471727/1000000000000000000000000000 0/1 -53414190210457535607725307/1000000000000000000000000000 29205633485003164226877393/1000000000000000000000000000 -84746062841949629184435053/1000000000000000000000000000 -562360653373181529360027/10000000000000000000000000 -4772126293394507797200751/1000000000000000000000000000 53414190210457535607725307/1000000000000000000000000000 517718466391859776029301441/1000000000000000000000000000 13892245711523625716471727/1000000000000000000000000000 4772126293394507797200751/1000000000000000000000000000
-329815969776174102859560207/200000000000000000000000000 -241490392065038069064267463/100000000000000000000000000 0/1 -469775497043471940312817919/200000000000000000000000000 329815969776174102859560207/200000000000000000000000000 -54650421778757426114607707/250000000000000000000000000 213667318863738703454968239/1000000000000000000000000000 -1078242638762650603362867587/1000000000000000000000000000 469775497043471940312817919/200000000000000000000000000 13892245711523625716471727/1000000000000000000000000000 241490392065038069064267463/100000000000000000000000000 1078242638762650603362867587/1000000000000000000000000000
-672300038785635241155899703/1000000000000000000000000000 -1078242638762650603362867587/1000000000000000000000000000 0/1 -919244590874707870990527213/1000000000000000000000000000 672300038785635241155899703/1000000000000000000000000000 -2919569944835936774735611/40000000000000000000000000 36102356376330658016027891/500000000000000000000000000 -486073895903251168334630271/1000000000000000000000000000 919244590874707870990527213/1000000000000000000000000000 4772126293394507797200751/1000000000000000000000000000 1078242638762650603362867587/1000000000000000000000000000 486073895903251168334630271/1000000000000000000000000000


--- 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 :
90234150782708030717392819/50000000000000000000000000 -3670028864758151512588529/100000000000000000000000000 -3670028864758151512588529/100000000000000000000000000 3502932285213941721383703/20000000000000000000000000
-3670028864758151512588529/100000000000000000000000000 61540405381996179051817157/1000000000000000000000000000 61540405381996179051817157/1000000000000000000000000000 13013733528927276148908243/200000000000000000000000000
-3670028864758151512588529/100000000000000000000000000 61540405381996179051817157/1000000000000000000000000000 61540405381996179051817157/1000000000000000000000000000 13013733528927276148908243/200000000000000000000000000
3502932285213941721383703/20000000000000000000000000 13013733528927276148908243/200000000000000000000000000 13013733528927276148908243/200000000000000000000000000 401216245599588832974818571/200000000000000000000000000


--- 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 :
543857135029271402770238329/200000000000000000000000000 733948929725846917200245137/250000000000000000000000000 -5255156780376436042380463/12500000000000000000000000 595218587060081820552861939/250000000000000000000000000 -1363361938152903358164673/12500000000000000000000000 842259651779718087206269/12500000000000000000000000 -343098395562586339126720321/125000000000000000000000000 -550061048420235980060689879/1000000000000000000000000000 -556046069558745567552915301/250000000000000000000000000 -2043598786441303294465413671/1000000000000000000000000000
733948929725846917200245137/250000000000000000000000000 446376200782836435522592221/100000000000000000000000000 -1982259591597835451283537/250000000000000000000000000 605924771920269713452660591/250000000000000000000000000 -87171331023760335657349/3906250000000000000000000 24797757757404937130507057/500000000000000000000000000 -1519165254162258814606431601/500000000000000000000000000 -32846993335021238641726051/62500000000000000000000000 -914499125019660420245235501/250000000000000000000000000 -343098395562586339126720321/125000000000000000000000000
-5255156780376436042380463/12500000000000000000000000 -1982259591597835451283537/250000000000000000000000000 504865950295388321339243607/250000000000000000000000000 -262775946446688040206916357/500000000000000000000000000 4638280514933884579383173/125000000000000000000000000 -242880393124244596037255429/500000000000000000000000000 -1982259591597835451283537/250000000000000000000000000 479285072651473667137739/500000000000000000000000 -262775946446688040206916357/500000000000000000000000000 -5255156780376436042380463/12500000000000000000000000
595218587060081820552861939/250000000000000000000000000 605924771920269713452660591/250000000000000000000000000 -262775946446688040206916357/500000000000000000000000000 3177829394729336670941667253/1000000000000000000000000000 1109104187823851550595843/62500000000000000000000000 133992423229764343775679/1600000000000000000000000 -914499125019660420245235501/250000000000000000000000000 -1982259090771371798473287/250000000000000000000000000 -1752397890863139443761917731/1000000000000000000000000000 -556046069558745567552915301/250000000000000000000000000
-1363361938152903358164673/12500000000000000000000000 -87171331023760335657349/3906250000000000000000000 4638280514933884579383173/125000000000000000000000000 1109104187823851550595843/62500000000000000000000000 20850543047200945713569269/25000000000000000000000000 -36576730520138233341629681/250000000000000000000000000 -87171331023760335657349/3906250000000000000000000 -181159239497928987369863/15625000000000000000000000 1109104187823851550595843/62500000000000000000000000 -1363361938152903358164673/12500000000000000000000000
842259651779718087206269/12500000000000000000000000 24797757757404937130507057/500000000000000000000000000 -242880393124244596037255429/500000000000000000000000000 133992423229764343775679/1600000000000000000000000 -36576730520138233341629681/250000000000000000000000000 337499237342473322434904579/1000000000000000000000000000 24797757757404937130507057/500000000000000000000000000 -64645821608360967381726679/250000000000000000000000000 133992423229764343775679/1600000000000000000000000 842259651779718087206269/12500000000000000000000000
-343098395562586339126720321/125000000000000000000000000 -1519165254162258814606431601/500000000000000000000000000 -1982259591597835451283537/250000000000000000000000000 -914499125019660420245235501/250000000000000000000000000 -87171331023760335657349/3906250000000000000000000 24797757757404937130507057/500000000000000000000000000 446376200782836435522592221/100000000000000000000000000 -32846993335021238641726051/62500000000000000000000000 605924771920269713452660591/250000000000000000000000000 733948929725846917200245137/250000000000000000000000000
-550061048420235980060689879/1000000000000000000000000000 -32846993335021238641726051/62500000000000000000000000 479285072651473667137739/500000000000000000000000 -1982259090771371798473287/250000000000000000000000000 -181159239497928987369863/15625000000000000000000000 -64645821608360967381726679/250000000000000000000000000 -32846993335021238641726051/62500000000000000000000000 2019463802938498579037084287/1000000000000000000000000000 -1982259090771371798473287/250000000000000000000000000 -550061048420235980060689879/1000000000000000000000000000
-556046069558745567552915301/250000000000000000000000000 -914499125019660420245235501/250000000000000000000000000 -262775946446688040206916357/500000000000000000000000000 -1752397890863139443761917731/1000000000000000000000000000 1109104187823851550595843/62500000000000000000000000 133992423229764343775679/1600000000000000000000000 605924771920269713452660591/250000000000000000000000000 -1982259090771371798473287/250000000000000000000000000 3177829394729336670941667253/1000000000000000000000000000 595218587060081820552861939/250000000000000000000000000
-2043598786441303294465413671/1000000000000000000000000000 -343098395562586339126720321/125000000000000000000000000 -5255156780376436042380463/12500000000000000000000000 -556046069558745567552915301/250000000000000000000000000 -1363361938152903358164673/12500000000000000000000000 842259651779718087206269/12500000000000000000000000 733948929725846917200245137/250000000000000000000000000 -550061048420235980060689879/1000000000000000000000000000 595218587060081820552861939/250000000000000000000000000 543857135029271402770238329/200000000000000000000000000


--- 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 :
1232556823815477966143373303/500000000000000000000000000 -304084779999217411547641221/100000000000000000000000000 0/1 -2290473873518843922576346287/1000000000000000000000000000 -1232556823815477966143373303/500000000000000000000000000 304084779999217411547641221/100000000000000000000000000
-304084779999217411547641221/100000000000000000000000000 1875523132899702059626516563/500000000000000000000000000 0/1 2825420420646157107045898251/1000000000000000000000000000 304084779999217411547641221/100000000000000000000000000 -1875523132899702059626516563/500000000000000000000000000
0/1 0/1 376785117/200000000 0/1 0/1 0/1
-2290473873518843922576346287/1000000000000000000000000000 2825420420646157107045898251/1000000000000000000000000000 0/1 487705706147100631352594427/200000000000000000000000000 2290473873518843922576346287/1000000000000000000000000000 -2825420420646157107045898251/1000000000000000000000000000
-1232556823815477966143373303/500000000000000000000000000 304084779999217411547641221/100000000000000000000000000 0/1 2290473873518843922576346287/1000000000000000000000000000 1232556823815477966143373303/500000000000000000000000000 -304084779999217411547641221/100000000000000000000000000
304084779999217411547641221/100000000000000000000000000 -1875523132899702059626516563/500000000000000000000000000 0/1 -2825420420646157107045898251/1000000000000000000000000000 -304084779999217411547641221/100000000000000000000000000 1875523132899702059626516563/500000000000000000000000000


--- 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 :
2227573446295978547953760423/1000000000000000000000000000 1157634873824557472476934707/1000000000000000000000000000 -232462675085936182458649949/100000000000000000000000000 460758371167278772506657/1000000000000000000000000000 3851242328467883606790621/200000000000000000000000000 1170373493041729502014190413/500000000000000000000000000 -24226150211337597150253071/1000000000000000000000000000 -1159442077347747443671163689/1000000000000000000000000000 -444913994412704353114294429/200000000000000000000000000
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460758371167278772506657/1000000000000000000000000000 -8871689668666367139/32000000000000000000000 1236490199061980342241841/500000000000000000000000000 15974832930670559283030061/500000000000000000000000000 738516423557199987692731/125000000000000000000000000 1236490199061980342241841/500000000000000000000000000 -7432992569477915386564321/1000000000000000000000000000 -8871689668666367139/32000000000000000000000 460758371167278772506657/1000000000000000000000000000
3851242328467883606790621/200000000000000000000000000 -724159149329165278753211/62500000000000000000000000 51675932133034657253717887/500000000000000000000000000 738516423557199987692731/125000000000000000000000000 123457588817487448060915097/500000000000000000000000000 51675932133034657253717887/500000000000000000000000000 -310642835358725002801329209/1000000000000000000000000000 -724159149329165278753211/62500000000000000000000000 3851242328467883606790621/200000000000000000000000000
1170373493041729502014190413/500000000000000000000000000 48367021732822006586069809/40000000000000000000000000 -3142291034420903182071552459/1000000000000000000000000000 1236490199061980342241841/500000000000000000000000000 51675932133034657253717887/500000000000000000000000000 3228811498246444809437657059/1000000000000000000000000000 -32506624808099889622831309/250000000000000000000000000 -1218875159044507833806340181/1000000000000000000000000000 -232462675085936182458649949/100000000000000000000000000
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-444913994412704353114294429/200000000000000000000000000 -1159442077347747443671163689/1000000000000000000000000000 1170373493041729502014190413/500000000000000000000000000 460758371167278772506657/1000000000000000000000000000 3851242328467883606790621/200000000000000000000000000 -232462675085936182458649949/100000000000000000000000000 -24226150211337597150253071/1000000000000000000000000000 1157634873824557472476934707/1000000000000000000000000000 2227573446295978547953760423/1000000000000000000000000000


--- 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 :
1278770204348005166659316479/1000000000000000000000000000 -47293851238855449/250000000000000000000000000 -505878553983110811447276659/1000000000000000000000000000 505878556229500217928488203/1000000000000000000000000000 252939276483632360230892983/500000000000000000000000000 12394747228260111786585471/25000000000000000000000000 256604102006357081/1000000000000000000000000000
-47293851238855449/250000000000000000000000000 192221881091815422436539047/1000000000000000000000000000 3064583461672955009256779/15625000000000000000000000 -49033335303456992412859677/250000000000000000000000000 196133340649991827231429409/1000000000000000000000000000 -37052384907745201/200000000000000000000000000 12394747228260111786585471/25000000000000000000000000
-505878553983110811447276659/1000000000000000000000000000 3064583461672955009256779/15625000000000000000000000 1517719305677061379721908679/1000000000000000000000000000 17818830734500034255101133/200000000000000000000000000 -401703364562509777540082321/500000000000000000000000000 -49033335303456992412859677/250000000000000000000000000 505878556229500217928488203/1000000000000000000000000000
505878556229500217928488203/1000000000000000000000000000 -49033335303456992412859677/250000000000000000000000000 17818830734500034255101133/200000000000000000000000000 1517719305677061379721908679/1000000000000000000000000000 -401703364562509777540082321/500000000000000000000000000 3064583461672955009256779/15625000000000000000000000 -505878553983110811447276659/1000000000000000000000000000
252939276483632360230892983/500000000000000000000000000 196133340649991827231429409/1000000000000000000000000000 -401703364562509777540082321/500000000000000000000000000 -401703364562509777540082321/500000000000000000000000000 303543860598518607990166999/200000000000000000000000000 196133340649991827231429409/1000000000000000000000000000 252939276483632360230892983/500000000000000000000000000
12394747228260111786585471/25000000000000000000000000 -37052384907745201/200000000000000000000000000 -49033335303456992412859677/250000000000000000000000000 3064583461672955009256779/15625000000000000000000000 196133340649991827231429409/1000000000000000000000000000 192221881091815422436539047/1000000000000000000000000000 -47293851238855449/250000000000000000000000000
256604102006357081/1000000000000000000000000000 12394747228260111786585471/25000000000000000000000000 505878556229500217928488203/1000000000000000000000000000 -505878553983110811447276659/1000000000000000000000000000 252939276483632360230892983/500000000000000000000000000 -47293851238855449/250000000000000000000000000 1278770204348005166659316479/1000000000000000000000000000


--- 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 :
486073895903251168334630271/1000000000000000000000000000 -2919569944835936774735611/40000000000000000000000000 4772126293394507797200751/1000000000000000000000000000 -919244590874707870990527213/1000000000000000000000000000 -486073895903251168334630271/1000000000000000000000000000 -1078242638762650603362867587/1000000000000000000000000000 1078242638762650603362867587/1000000000000000000000000000 672300038785635241155899703/1000000000000000000000000000 919244590874707870990527213/1000000000000000000000000000 0/1 36102356376330658016027891/500000000000000000000000000 -672300038785635241155899703/1000000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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--- 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 :
401216245599588832974818571/200000000000000000000000000 13013733528927276148908243/200000000000000000000000000 13013733528927276148908243/200000000000000000000000000 3502932285213941721383703/20000000000000000000000000
13013733528927276148908243/200000000000000000000000000 61540405381996179051817157/1000000000000000000000000000 61540405381996179051817157/1000000000000000000000000000 -3670028864758151512588529/100000000000000000000000000
13013733528927276148908243/200000000000000000000000000 61540405381996179051817157/1000000000000000000000000000 61540405381996179051817157/1000000000000000000000000000 -3670028864758151512588529/100000000000000000000000000
3502932285213941721383703/20000000000000000000000000 -3670028864758151512588529/100000000000000000000000000 -3670028864758151512588529/100000000000000000000000000 90234150782708030717392819/50000000000000000000000000


--- 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 :
19290248225913755290607/156250000000000000000000 258379660634338892637479/5000000000000000000000000 346935518790857613034011/50000000000000000000000000 962810572783267670677453/100000000000000000000000000 -144831827843076146029343/25000000000000000000000000 -7766070869620500872004119/50000000000000000000000000
258379660634338892637479/5000000000000000000000000 675941124415454502806107/31250000000000000000000000 726088068429940531553853/250000000000000000000000000 2015029386038964085059271/500000000000000000000000000 -12124519501022515478303/5000000000000000000000000 -16253312394679217984786027/250000000000000000000000000
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--- 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 :
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--- 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 :
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--- 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 :
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