#Density : 724883308103098557366413109/4000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {6, 7, 9, 10, 12, 13, 14, 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 :
439312471860426958139524173/1000000000000000000000000000 -4762605965152228941297489/1000000000000000000000000000 81264624617808015215827749/1000000000000000000000000000 -302938043090743258270410747/1000000000000000000000000000 121598215582118663495808999/500000000000000000000000000 -8313612284809231622485269/125000000000000000000000000
-4762605965152228941297489/1000000000000000000000000000 158017523198425189006241397/1000000000000000000000000000 -74499455895205961949240257/1000000000000000000000000000 -9303077238937417062518569/1000000000000000000000000000 45057050810879628398094273/500000000000000000000000000 -20460228478818531012413183/125000000000000000000000000
81264624617808015215827749/1000000000000000000000000000 -74499455895205961949240257/1000000000000000000000000000 49341608066660486683606737/1000000000000000000000000000 -50171734106484303241337411/1000000000000000000000000000 880647757491448087519137/500000000000000000000000000 8039429816549421065526503/125000000000000000000000000
-302938043090743258270410747/1000000000000000000000000000 -9303077238937417062518569/1000000000000000000000000000 -50171734106484303241337411/1000000000000000000000000000 209900904547194322870498813/1000000000000000000000000000 -87546189621739080874279521/500000000000000000000000000 7370363055220911111446291/125000000000000000000000000
121598215582118663495808999/500000000000000000000000000 45057050810879628398094273/500000000000000000000000000 880647757491448087519137/500000000000000000000000000 -87546189621739080874279521/500000000000000000000000000 23636094972564712680702441/125000000000000000000000000 -8334273663456345253299597/62500000000000000000000000
-8313612284809231622485269/125000000000000000000000000 -20460228478818531012413183/125000000000000000000000000 8039429816549421065526503/125000000000000000000000000 7370363055220911111446291/125000000000000000000000000 -8334273663456345253299597/62500000000000000000000000 2830798556275115971387057/15625000000000000000000000


--- 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 :
2830798556275115971387057/15625000000000000000000000 7370363055220911111446291/125000000000000000000000000 -8334273663456345253299597/62500000000000000000000000 -20460228478818531012413183/125000000000000000000000000 8039429816549421065526503/125000000000000000000000000 -8313612284809231622485269/125000000000000000000000000
7370363055220911111446291/125000000000000000000000000 209900904547194322870498813/1000000000000000000000000000 -87546189621739080874279521/500000000000000000000000000 -9303077238937417062518569/1000000000000000000000000000 -50171734106484303241337411/1000000000000000000000000000 -302938043090743258270410747/1000000000000000000000000000
-8334273663456345253299597/62500000000000000000000000 -87546189621739080874279521/500000000000000000000000000 23636094972564712680702441/125000000000000000000000000 45057050810879628398094273/500000000000000000000000000 880647757491448087519137/500000000000000000000000000 121598215582118663495808999/500000000000000000000000000
-20460228478818531012413183/125000000000000000000000000 -9303077238937417062518569/1000000000000000000000000000 45057050810879628398094273/500000000000000000000000000 158017523198425189006241397/1000000000000000000000000000 -74499455895205961949240257/1000000000000000000000000000 -4762605965152228941297489/1000000000000000000000000000
8039429816549421065526503/125000000000000000000000000 -50171734106484303241337411/1000000000000000000000000000 880647757491448087519137/500000000000000000000000000 -74499455895205961949240257/1000000000000000000000000000 49341608066660486683606737/1000000000000000000000000000 81264624617808015215827749/1000000000000000000000000000
-8313612284809231622485269/125000000000000000000000000 -302938043090743258270410747/1000000000000000000000000000 121598215582118663495808999/500000000000000000000000000 -4762605965152228941297489/1000000000000000000000000000 81264624617808015215827749/1000000000000000000000000000 439312471860426958139524173/1000000000000000000000000000


--- 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 :
434776620527688271277712349/500000000000000000000000000 -76490379736154417218214661/250000000000000000000000000 11799254416579787952814981/125000000000000000000000000 -229198009144384021792839953/250000000000000000000000000 24211738117227606179407349/62500000000000000000000000 99351572992820703822850969/250000000000000000000000000 -469286329462410577804934267/250000000000000000000000000 -707929116764265827415707511/500000000000000000000000000 -19601236750242533997388527/50000000000000000000000000 760000368358179315102010557/500000000000000000000000000 87675232726094053988262279/250000000000000000000000000 40148884382659139675671701/250000000000000000000000000
-76490379736154417218214661/250000000000000000000000000 120969722019688429696134771/500000000000000000000000000 53084424656940516790001309/250000000000000000000000000 123483082386061544967608583/250000000000000000000000000 22804482499865750201035739/500000000000000000000000000 -13593315296626484887736809/100000000000000000000000000 17930409460084549046059107/62500000000000000000000000 390985857323384956166880511/500000000000000000000000000 -167521724551834198617806783/500000000000000000000000000 -23098971554969202192649929/31250000000000000000000000 30471212052998246344691261/100000000000000000000000000 -266524030929489846149268379/500000000000000000000000000
11799254416579787952814981/125000000000000000000000000 53084424656940516790001309/250000000000000000000000000 475449708772378446719754689/1000000000000000000000000000 158477893318682795499478231/1000000000000000000000000000 94650076884308614546787903/200000000000000000000000000 44291871663110113669395721/500000000000000000000000000 -1068060514588655189363899343/1000000000000000000000000000 283851525104192225344102707/1000000000000000000000000000 -977712078907911923276866789/1000000000000000000000000000 -102248785879010949522334323/1000000000000000000000000000 227710311412010965877435711/250000000000000000000000000 -862855971847123802640225621/1000000000000000000000000000
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40148884382659139675671701/250000000000000000000000000 -266524030929489846149268379/500000000000000000000000000 -862855971847123802640225621/1000000000000000000000000000 -747024603019605822211812403/1000000000000000000000000000 -628127025910637194140624517/1000000000000000000000000000 385281538171515099621239/10000000000000000000000000 1078578382178373491731443463/1000000000000000000000000000 -244781584864687016970255601/200000000000000000000000000 1644667599902083523115723831/1000000000000000000000000000 947464683290917219642665243/1000000000000000000000000000 -751928765988907731599507801/500000000000000000000000000 1725668535106935686254764479/1000000000000000000000000000


--- 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 :
722947621222568630473176567/500000000000000000000000000 295151526156692810928227631/250000000000000000000000000 -133817194677387636898946509/250000000000000000000000000 -579824475618961207692433401/500000000000000000000000000
295151526156692810928227631/250000000000000000000000000 389586282794981971641801723/125000000000000000000000000 1973935187218640731928983/125000000000000000000000000 -59660213706606414063865053/250000000000000000000000000
-133817194677387636898946509/250000000000000000000000000 1973935187218640731928983/125000000000000000000000000 36677423200183538119378803/125000000000000000000000000 144572179660369844506918847/250000000000000000000000000
-579824475618961207692433401/500000000000000000000000000 -59660213706606414063865053/250000000000000000000000000 144572179660369844506918847/250000000000000000000000000 581541055711128593884608843/500000000000000000000000000


--- 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 :
5835384373765276264296382653/1000000000000000000000000000 551810637002073620120492181/200000000000000000000000000 294069117974384640542604927/500000000000000000000000000 1786041290838300798681103221/1000000000000000000000000000 943585934527307424987487953/500000000000000000000000000 -244749018275030976705242451/500000000000000000000000000 -647986234239230911754011221/1000000000000000000000000000 -332010756902842049673157461/250000000000000000000000000 -4734669638249482046607416781/1000000000000000000000000000 -842113619092529488993529121/200000000000000000000000000
551810637002073620120492181/200000000000000000000000000 3175008939871777136422673059/1000000000000000000000000000 382073717803137048631970161/500000000000000000000000000 -701649879199680339502433019/1000000000000000000000000000 612984098015690692958034837/250000000000000000000000000 -79498459400005575794987607/125000000000000000000000000 -432173500474433828569537127/1000000000000000000000000000 -1725479847925440519486832657/1000000000000000000000000000 -3129399783122371884334058481/1000000000000000000000000000 -647986234239230911754011221/1000000000000000000000000000
294069117974384640542604927/500000000000000000000000000 382073717803137048631970161/500000000000000000000000000 212889659713578805205814527/500000000000000000000000000 -106732133218568404887207741/100000000000000000000000000 341551826141661827378379669/250000000000000000000000000 -22148081874619522483235457/62500000000000000000000000 382073717803137048631970161/500000000000000000000000000 -961429170735984834173111339/1000000000000000000000000000 -106732133218568404887207741/100000000000000000000000000 294069117974384640542604927/500000000000000000000000000
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-842113619092529488993529121/200000000000000000000000000 -647986234239230911754011221/1000000000000000000000000000 294069117974384640542604927/500000000000000000000000000 -4734669638249482046607416781/1000000000000000000000000000 943585934527307424987487953/500000000000000000000000000 -244749018275030976705242451/500000000000000000000000000 551810637002073620120492181/200000000000000000000000000 -332010756902842049673157461/250000000000000000000000000 1786041290838300798681103221/1000000000000000000000000000 5835384373765276264296382653/1000000000000000000000000000


--- 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 :
80040886880231994033905669/200000000000000000000000000 -10223459231075572686021683/200000000000000000000000000 38162365499788477870473/160000000000000000000000 0/1 80040886880231994033905669/200000000000000000000000000 -10223459231075572686021683/200000000000000000000000000
-10223459231075572686021683/200000000000000000000000000 575740529451132190822869461/200000000000000000000000000 -525951100700399485482093279/100000000000000000000000000 0/1 -10223459231075572686021683/200000000000000000000000000 575740529451132190822869461/200000000000000000000000000
38162365499788477870473/160000000000000000000000 -525951100700399485482093279/100000000000000000000000000 2415522852016167114368427681/250000000000000000000000000 0/1 38162365499788477870473/160000000000000000000000 -525951100700399485482093279/100000000000000000000000000
0/1 0/1 0/1 72462543/100000000 0/1 0/1
80040886880231994033905669/200000000000000000000000000 -10223459231075572686021683/200000000000000000000000000 38162365499788477870473/160000000000000000000000 0/1 80040886880231994033905669/200000000000000000000000000 -10223459231075572686021683/200000000000000000000000000
-10223459231075572686021683/200000000000000000000000000 575740529451132190822869461/200000000000000000000000000 -525951100700399485482093279/100000000000000000000000000 0/1 -10223459231075572686021683/200000000000000000000000000 575740529451132190822869461/200000000000000000000000000


--- 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 :
1344421812123680715177032981/1000000000000000000000000000 -40920608511903050656970983/200000000000000000000000000 342721194640077268046138027/1000000000000000000000000000 -169519384880016229171593/7812500000000000000000000 -74968547585809160654890683/62500000000000000000000000 514670923040711422174473877/1000000000000000000000000000 -24412090866139024606590699/62500000000000000000000000 -20887751329898109448969433/200000000000000000000000000 -187580859148314095766683669/1000000000000000000000000000
-40920608511903050656970983/200000000000000000000000000 1782143565585253188512633/40000000000000000000000000 -21780388907216722288075981/200000000000000000000000000 36228714584353187626341/6250000000000000000000000 32043699380338616461894047/100000000000000000000000000 -24028847357145151881691931/200000000000000000000000000 10434425184304121601551871/100000000000000000000000000 1520188822032879432106783/40000000000000000000000000 -20887751329898109448969433/200000000000000000000000000
342721194640077268046138027/1000000000000000000000000000 -21780388907216722288075981/200000000000000000000000000 327377570892174755343906209/1000000000000000000000000000 -502556843659174299681399/31250000000000000000000000 -444503224812226002640187313/500000000000000000000000000 308078186072889071934669559/1000000000000000000000000000 -144744075533643175080705489/500000000000000000000000000 -24028847357145151881691931/200000000000000000000000000 514670923040711422174473877/1000000000000000000000000000
-169519384880016229171593/7812500000000000000000000 36228714584353187626341/6250000000000000000000000 -502556843659174299681399/31250000000000000000000000 327801255098082903662637/7812500000000000000000000 2812320256882435439703297/62500000000000000000000000 -502556843659174299681399/31250000000000000000000000 915778949885166770969841/62500000000000000000000000 36228714584353187626341/6250000000000000000000000 -169519384880016229171593/7812500000000000000000000
-74968547585809160654890683/62500000000000000000000000 32043699380338616461894047/100000000000000000000000000 -444503224812226002640187313/500000000000000000000000000 2812320256882435439703297/62500000000000000000000000 2487450806169419365332736539/1000000000000000000000000000 -444503224812226002640187313/500000000000000000000000000 809991350516080865488124667/1000000000000000000000000000 32043699380338616461894047/100000000000000000000000000 -74968547585809160654890683/62500000000000000000000000
514670923040711422174473877/1000000000000000000000000000 -24028847357145151881691931/200000000000000000000000000 308078186072889071934669559/1000000000000000000000000000 -502556843659174299681399/31250000000000000000000000 -444503224812226002640187313/500000000000000000000000000 327377570892174755343906209/1000000000000000000000000000 -144744075533643175080705489/500000000000000000000000000 -21780388907216722288075981/200000000000000000000000000 342721194640077268046138027/1000000000000000000000000000
-24412090866139024606590699/62500000000000000000000000 10434425184304121601551871/100000000000000000000000000 -144744075533643175080705489/500000000000000000000000000 915778949885166770969841/62500000000000000000000000 809991350516080865488124667/1000000000000000000000000000 -144744075533643175080705489/500000000000000000000000000 263758377164134677299865051/1000000000000000000000000000 10434425184304121601551871/100000000000000000000000000 -24412090866139024606590699/62500000000000000000000000
-20887751329898109448969433/200000000000000000000000000 1520188822032879432106783/40000000000000000000000000 -24028847357145151881691931/200000000000000000000000000 36228714584353187626341/6250000000000000000000000 32043699380338616461894047/100000000000000000000000000 -21780388907216722288075981/200000000000000000000000000 10434425184304121601551871/100000000000000000000000000 1782143565585253188512633/40000000000000000000000000 -40920608511903050656970983/200000000000000000000000000
-187580859148314095766683669/1000000000000000000000000000 -20887751329898109448969433/200000000000000000000000000 514670923040711422174473877/1000000000000000000000000000 -169519384880016229171593/7812500000000000000000000 -74968547585809160654890683/62500000000000000000000000 342721194640077268046138027/1000000000000000000000000000 -24412090866139024606590699/62500000000000000000000000 -40920608511903050656970983/200000000000000000000000000 1344421812123680715177032981/1000000000000000000000000000


--- 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 :
92350071377428455324255721/1000000000000000000000000000 581581210593850389/500000000000000000000000000 -13571620990481207007662473/200000000000000000000000000 67858101539356695744942381/1000000000000000000000000000 4241131399624396989252727/62500000000000000000000000 136931420679893327352749423/500000000000000000000000000 813765325950327023/1000000000000000000000000000
581581210593850389/500000000000000000000000000 4426986546304597108873647921/1000000000000000000000000000 64779576396652301465966057/62500000000000000000000000 -207294643406087433018013357/200000000000000000000000000 1036473223117433025265322281/1000000000000000000000000000 438576991451309577/200000000000000000000000000 34232856822866322999613193/125000000000000000000000000
-13571620990481207007662473/200000000000000000000000000 64779576396652301465966057/62500000000000000000000000 40292235705898386446238873/40000000000000000000000000 -464390642390910216226015991/1000000000000000000000000000 -135728812209823701808087929/500000000000000000000000000 -259118304236299536632580251/250000000000000000000000000 67858106084229773869755657/1000000000000000000000000000
67858101539356695744942381/1000000000000000000000000000 -207294643406087433018013357/200000000000000000000000000 -464390642390910216226015991/1000000000000000000000000000 503652946362541328047738941/500000000000000000000000000 -271457624353214278582746003/1000000000000000000000000000 1036473222598644767849301053/1000000000000000000000000000 -2714324141839808717153591/40000000000000000000000000
4241131399624396989252727/62500000000000000000000000 1036473223117433025265322281/1000000000000000000000000000 -135728812209823701808087929/500000000000000000000000000 -271457624353214278582746003/1000000000000000000000000000 1007305895968316864838127881/1000000000000000000000000000 1036473223406204377310139511/1000000000000000000000000000 33929053743441266997691181/500000000000000000000000000
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813765325950327023/1000000000000000000000000000 34232856822866322999613193/125000000000000000000000000 67858106084229773869755657/1000000000000000000000000000 -2714324141839808717153591/40000000000000000000000000 33929053743441266997691181/500000000000000000000000000 18566811488472843/25000000000000000000000000 92349830755375266508331473/1000000000000000000000000000


--- 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 :
1725668535106935686254764479/1000000000000000000000000000 385281538171515099621239/10000000000000000000000000 947464683290917219642665243/1000000000000000000000000000 -747024603019605822211812403/1000000000000000000000000000 -244781584864687016970255601/200000000000000000000000000 -266524030929489846149268379/500000000000000000000000000 -751928765988907731599507801/500000000000000000000000000 -628127025910637194140624517/1000000000000000000000000000 1644667599902083523115723831/1000000000000000000000000000 -862855971847123802640225621/1000000000000000000000000000 1078578382178373491731443463/1000000000000000000000000000 40148884382659139675671701/250000000000000000000000000
385281538171515099621239/10000000000000000000000000 380653961364250063172324549/500000000000000000000000000 470295351706050727188668823/500000000000000000000000000 -272491377497441930325609569/500000000000000000000000000 -103933969874980944779028787/125000000000000000000000000 -13593315296626484887736809/100000000000000000000000000 192781189053717492994352913/500000000000000000000000000 51947545640343556765358167/125000000000000000000000000 -89799998849434500438256671/250000000000000000000000000 44291871663110113669395721/500000000000000000000000000 -648710233769064763143379673/500000000000000000000000000 99351572992820703822850969/250000000000000000000000000
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40148884382659139675671701/250000000000000000000000000 99351572992820703822850969/250000000000000000000000000 760000368358179315102010557/500000000000000000000000000 -229198009144384021792839953/250000000000000000000000000 -707929116764265827415707511/500000000000000000000000000 -76490379736154417218214661/250000000000000000000000000 87675232726094053988262279/250000000000000000000000000 24211738117227606179407349/62500000000000000000000000 -19601236750242533997388527/50000000000000000000000000 11799254416579787952814981/125000000000000000000000000 -469286329462410577804934267/250000000000000000000000000 434776620527688271277712349/500000000000000000000000000


--- 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 :
581541055711128593884608843/500000000000000000000000000 -59660213706606414063865053/250000000000000000000000000 144572179660369844506918847/250000000000000000000000000 -579824475618961207692433401/500000000000000000000000000
-59660213706606414063865053/250000000000000000000000000 389586282794981971641801723/125000000000000000000000000 1973935187218640731928983/125000000000000000000000000 295151526156692810928227631/250000000000000000000000000
144572179660369844506918847/250000000000000000000000000 1973935187218640731928983/125000000000000000000000000 36677423200183538119378803/125000000000000000000000000 -133817194677387636898946509/250000000000000000000000000
-579824475618961207692433401/500000000000000000000000000 295151526156692810928227631/250000000000000000000000000 -133817194677387636898946509/250000000000000000000000000 722947621222568630473176567/500000000000000000000000000


--- 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 :
5540947660379866677906929/125000000000000000000000000 10859064971506503586149399/50000000000000000000000000 -5067675095544621706060131/31250000000000000000000000 20907845932673823861207477/250000000000000000000000000 -1722372428212233048302779/50000000000000000000000000 23189239953958843409043/15625000000000000000000000
10859064971506503586149399/50000000000000000000000000 21281430412810547152743969/20000000000000000000000000 -9931552595324787719473461/12500000000000000000000000 40974878542994223665641587/100000000000000000000000000 -3375479295143861321710749/20000000000000000000000000 45445919855996288518533/6250000000000000000000000
-5067675095544621706060131/31250000000000000000000000 -9931552595324787719473461/12500000000000000000000000 4634826467976882965941209/7812500000000000000000000 -19122030495272938287000303/62500000000000000000000000 1575258312240664995133281/12500000000000000000000000 -21208562325822279055977/3906250000000000000000000
20907845932673823861207477/250000000000000000000000000 40974878542994223665641587/100000000000000000000000000 -19122030495272938287000303/62500000000000000000000000 78892284919084907831563401/500000000000000000000000000 -6499086361208813162863527/100000000000000000000000000 87500746437286707163359/31250000000000000000000000
-1722372428212233048302779/50000000000000000000000000 -3375479295143861321710749/20000000000000000000000000 1575258312240664995133281/12500000000000000000000000 -6499086361208813162863527/100000000000000000000000000 535389785880476471801129/20000000000000000000000000 -7208244866394939450993/6250000000000000000000000
23189239953958843409043/15625000000000000000000000 45445919855996288518533/6250000000000000000000000 -21208562325822279055977/3906250000000000000000000 87500746437286707163359/31250000000000000000000000 -7208244866394939450993/6250000000000000000000000 97048534402762367481/1953125000000000000000000


--- 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 :
259302483843316445001207687/200000000000000000000000000 -259302483843316445001207687/200000000000000000000000000 -1442932253920649227/1000000000000000000000000000 39242682814184176827847403/40000000000000000000000000 -39242682814184176827847403/40000000000000000000000000 981067068019228543844369413/1000000000000000000000000000 0/1 -25484330572991332030872549/250000000000000000000000000 25484330572991332030872549/250000000000000000000000000 -230316027066367803/1000000000000000000000000000
-259302483843316445001207687/200000000000000000000000000 259302483843316445001207687/200000000000000000000000000 1442932253920649227/1000000000000000000000000000 -39242682814184176827847403/40000000000000000000000000 39242682814184176827847403/40000000000000000000000000 -981067068019228543844369413/1000000000000000000000000000 0/1 25484330572991332030872549/250000000000000000000000000 -25484330572991332030872549/250000000000000000000000000 230316027066367803/1000000000000000000000000000
-1442932253920649227/1000000000000000000000000000 1442932253920649227/1000000000000000000000000000 259302483956390886809034623/200000000000000000000000000 981067069044421008271945001/1000000000000000000000000000 -981067069044421008271945001/1000000000000000000000000000 -98106707131195372516698271/100000000000000000000000000 0/1 -887293888555784311/1000000000000000000000000000 887293888555784311/1000000000000000000000000000 -25484331171260228861588161/250000000000000000000000000
39242682814184176827847403/40000000000000000000000000 -39242682814184176827847403/40000000000000000000000000 981067069044421008271945001/1000000000000000000000000000 1673941275813388150015357347/1000000000000000000000000000 -1673941275813388150015357347/1000000000000000000000000000 -674272943631609949/500000000000000000000000000 0/1 -207754016831686150449102133/1000000000000000000000000000 207754016831686150449102133/1000000000000000000000000000 -25969252203078076356177857/125000000000000000000000000
-39242682814184176827847403/40000000000000000000000000 39242682814184176827847403/40000000000000000000000000 -981067069044421008271945001/1000000000000000000000000000 -1673941275813388150015357347/1000000000000000000000000000 1673941275813388150015357347/1000000000000000000000000000 674272943631609949/500000000000000000000000000 0/1 207754016831686150449102133/1000000000000000000000000000 -207754016831686150449102133/1000000000000000000000000000 25969252203078076356177857/125000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-25484330572991332030872549/250000000000000000000000000 25484330572991332030872549/250000000000000000000000000 -887293888555784311/1000000000000000000000000000 -207754016831686150449102133/1000000000000000000000000000 207754016831686150449102133/1000000000000000000000000000 -20775401462085041036406137/100000000000000000000000000 0/1 188364972397944033404344203/1000000000000000000000000000 -188364972397944033404344203/1000000000000000000000000000 29656041166146849/200000000000000000000000000
25484330572991332030872549/250000000000000000000000000 -25484330572991332030872549/250000000000000000000000000 887293888555784311/1000000000000000000000000000 207754016831686150449102133/1000000000000000000000000000 -207754016831686150449102133/1000000000000000000000000000 20775401462085041036406137/100000000000000000000000000 0/1 -188364972397944033404344203/1000000000000000000000000000 188364972397944033404344203/1000000000000000000000000000 -29656041166146849/200000000000000000000000000
-230316027066367803/1000000000000000000000000000 230316027066367803/1000000000000000000000000000 -25484331171260228861588161/250000000000000000000000000 -25969252203078076356177857/125000000000000000000000000 25969252203078076356177857/125000000000000000000000000 41550803594115743322120223/200000000000000000000000000 0/1 29656041166146849/200000000000000000000000000 -29656041166146849/200000000000000000000000000 94182486519853781164079197/500000000000000000000000000


--- 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 :
97048534402762367481/1953125000000000000000000 -7208244866394939450993/6250000000000000000000000 -21208562325822279055977/3906250000000000000000000 87500746437286707163359/31250000000000000000000000 45445919855996288518533/6250000000000000000000000 23189239953958843409043/15625000000000000000000000
-7208244866394939450993/6250000000000000000000000 535389785880476471801129/20000000000000000000000000 1575258312240664995133281/12500000000000000000000000 -6499086361208813162863527/100000000000000000000000000 -3375479295143861321710749/20000000000000000000000000 -1722372428212233048302779/50000000000000000000000000
-21208562325822279055977/3906250000000000000000000 1575258312240664995133281/12500000000000000000000000 4634826467976882965941209/7812500000000000000000000 -19122030495272938287000303/62500000000000000000000000 -9931552595324787719473461/12500000000000000000000000 -5067675095544621706060131/31250000000000000000000000
87500746437286707163359/31250000000000000000000000 -6499086361208813162863527/100000000000000000000000000 -19122030495272938287000303/62500000000000000000000000 78892284919084907831563401/500000000000000000000000000 40974878542994223665641587/100000000000000000000000000 20907845932673823861207477/250000000000000000000000000
45445919855996288518533/6250000000000000000000000 -3375479295143861321710749/20000000000000000000000000 -9931552595324787719473461/12500000000000000000000000 40974878542994223665641587/100000000000000000000000000 21281430412810547152743969/20000000000000000000000000 10859064971506503586149399/50000000000000000000000000
23189239953958843409043/15625000000000000000000000 -1722372428212233048302779/50000000000000000000000000 -5067675095544621706060131/31250000000000000000000000 20907845932673823861207477/250000000000000000000000000 10859064971506503586149399/50000000000000000000000000 5540947660379866677906929/125000000000000000000000000


--- 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 :
188364972397944033404344203/1000000000000000000000000000 -188364972397944033404344203/1000000000000000000000000000 29656041166146849/200000000000000000000000000 -207754016831686150449102133/1000000000000000000000000000 207754016831686150449102133/1000000000000000000000000000 -20775401462085041036406137/100000000000000000000000000 0/1 -25484330572991332030872549/250000000000000000000000000 25484330572991332030872549/250000000000000000000000000 -887293888555784311/1000000000000000000000000000
-188364972397944033404344203/1000000000000000000000000000 188364972397944033404344203/1000000000000000000000000000 -29656041166146849/200000000000000000000000000 207754016831686150449102133/1000000000000000000000000000 -207754016831686150449102133/1000000000000000000000000000 20775401462085041036406137/100000000000000000000000000 0/1 25484330572991332030872549/250000000000000000000000000 -25484330572991332030872549/250000000000000000000000000 887293888555784311/1000000000000000000000000000
29656041166146849/200000000000000000000000000 -29656041166146849/200000000000000000000000000 94182486519853781164079197/500000000000000000000000000 -25969252203078076356177857/125000000000000000000000000 25969252203078076356177857/125000000000000000000000000 41550803594115743322120223/200000000000000000000000000 0/1 -230316027066367803/1000000000000000000000000000 230316027066367803/1000000000000000000000000000 -25484331171260228861588161/250000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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-887293888555784311/1000000000000000000000000000 887293888555784311/1000000000000000000000000000 -25484331171260228861588161/250000000000000000000000000 981067069044421008271945001/1000000000000000000000000000 -981067069044421008271945001/1000000000000000000000000000 -98106707131195372516698271/100000000000000000000000000 0/1 -1442932253920649227/1000000000000000000000000000 1442932253920649227/1000000000000000000000000000 259302483956390886809034623/200000000000000000000000000

