#Density : 1002450305552197358841183513/2000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 9, 10, 12, 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 :
5360889839942066866957031/1000000000000000000000000000 -312500827229196847471107/6250000000000000000000000 -23941304283453533477311727/500000000000000000000000000 37332389992670275421367997/500000000000000000000000000 -8055067683134659418423073/250000000000000000000000000 50660552210308281861776161/1000000000000000000000000000
-312500827229196847471107/6250000000000000000000000 31561081507624693293142493/62500000000000000000000000 55824145733410934944160703/125000000000000000000000000 -21762063951409067067235957/31250000000000000000000000 18782070807300671000546549/62500000000000000000000000 -14765705827980146353760051/31250000000000000000000000
-23941304283453533477311727/500000000000000000000000000 55824145733410934944160703/125000000000000000000000000 26729986434449132316654263/62500000000000000000000000 -166723461053759221615459417/250000000000000000000000000 89933216398559682257193/312500000000000000000000 -45249193020085716956731253/100000000000000000000000000
37332389992670275421367997/500000000000000000000000000 -21762063951409067067235957/31250000000000000000000000 -166723461053759221615459417/250000000000000000000000000 259976866560624756605635807/250000000000000000000000000 -11218843779389722145567387/25000000000000000000000000 70558416562415364063847007/100000000000000000000000000
-8055067683134659418423073/250000000000000000000000000 18782070807300671000546549/62500000000000000000000000 89933216398559682257193/312500000000000000000000 -11218843779389722145567387/25000000000000000000000000 3025809022247207207284469/15625000000000000000000000 -76120604806798321827949927/250000000000000000000000000
50660552210308281861776161/1000000000000000000000000000 -14765705827980146353760051/31250000000000000000000000 -45249193020085716956731253/100000000000000000000000000 70558416562415364063847007/100000000000000000000000000 -76120604806798321827949927/250000000000000000000000000 478743571847226478169833879/1000000000000000000000000000


--- 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 :
478743571847226478169833879/1000000000000000000000000000 70558416562415364063847007/100000000000000000000000000 -76120604806798321827949927/250000000000000000000000000 -14765705827980146353760051/31250000000000000000000000 -45249193020085716956731253/100000000000000000000000000 50660552210308281861776161/1000000000000000000000000000
70558416562415364063847007/100000000000000000000000000 259976866560624756605635807/250000000000000000000000000 -11218843779389722145567387/25000000000000000000000000 -21762063951409067067235957/31250000000000000000000000 -166723461053759221615459417/250000000000000000000000000 37332389992670275421367997/500000000000000000000000000
-76120604806798321827949927/250000000000000000000000000 -11218843779389722145567387/25000000000000000000000000 3025809022247207207284469/15625000000000000000000000 18782070807300671000546549/62500000000000000000000000 89933216398559682257193/312500000000000000000000 -8055067683134659418423073/250000000000000000000000000
-14765705827980146353760051/31250000000000000000000000 -21762063951409067067235957/31250000000000000000000000 18782070807300671000546549/62500000000000000000000000 31561081507624693293142493/62500000000000000000000000 55824145733410934944160703/125000000000000000000000000 -312500827229196847471107/6250000000000000000000000
-45249193020085716956731253/100000000000000000000000000 -166723461053759221615459417/250000000000000000000000000 89933216398559682257193/312500000000000000000000 55824145733410934944160703/125000000000000000000000000 26729986434449132316654263/62500000000000000000000000 -23941304283453533477311727/500000000000000000000000000
50660552210308281861776161/1000000000000000000000000000 37332389992670275421367997/500000000000000000000000000 -8055067683134659418423073/250000000000000000000000000 -312500827229196847471107/6250000000000000000000000 -23941304283453533477311727/500000000000000000000000000 5360889839942066866957031/1000000000000000000000000000


--- 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 14369023/200000000 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 :
13773743/250000000 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 13773743/250000000


--- 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 :
3096473073962776589242431/100000000000000000000000000 -17604916912250728484699653/1000000000000000000000000000 5856877530326343555047077/250000000000000000000000000 -16871471214115888322897961/1000000000000000000000000000 17536036065040504622055517/125000000000000000000000000 23316714120479932220107829/1000000000000000000000000000 1884040278944766528327213/40000000000000000000000000 3492913863138024832515889/1000000000000000000000000000 81471552886544158303177/5000000000000000000000000 26217530581047041129831367/1000000000000000000000000000 -384502379077004967156070269/1000000000000000000000000000 47772058083868121702566991/500000000000000000000000000
-17604916912250728484699653/1000000000000000000000000000 2502307400098012159490167/250000000000000000000000000 -6659824852612316812404387/500000000000000000000000000 1918446176039625046460051/200000000000000000000000000 -79760540594704101437663699/1000000000000000000000000000 -6628327690990189451607523/500000000000000000000000000 -6694788501223540800399501/250000000000000000000000000 -496471561144688834397239/250000000000000000000000000 -926408776703321296656683/100000000000000000000000000 -14905909727841879924494747/1000000000000000000000000000 109303912459837178693097777/500000000000000000000000000 -6790169977393932209106779/125000000000000000000000000
5856877530326343555047077/250000000000000000000000000 -6659824852612316812404387/500000000000000000000000000 93417903761973018906729709/200000000000000000000000000 -112015131651469655248054999/1000000000000000000000000000 106140284390912133747330387/1000000000000000000000000000 10398173276130790118792519/250000000000000000000000000 -23140184075752973571458527/250000000000000000000000000 -72432179680651645206946519/1000000000000000000000000000 -58666466817082488441950089/250000000000000000000000000 -7384086335347715533269537/62500000000000000000000000 -290909472496315781311218351/1000000000000000000000000000 108483666806779528386760169/1000000000000000000000000000
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47772058083868121702566991/500000000000000000000000000 -6790169977393932209106779/125000000000000000000000000 108483666806779528386760169/1000000000000000000000000000 3157447574835799443786467/40000000000000000000000000 432870561024989174014367609/1000000000000000000000000000 -124718146405277003341643031/500000000000000000000000000 -4423242933931117144314837/15625000000000000000000000 -152483935618105869532341193/200000000000000000000000000 -28829850711039435109779059/100000000000000000000000000 -61531416107666617739025529/250000000000000000000000000 -1186412365055068161125006411/1000000000000000000000000000 3196045181489111881494528279/1000000000000000000000000000


--- 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 :
185650393269063794693657341/62500000000000000000000000 645191589325915457243382611/500000000000000000000000000 556538122059030919392558527/500000000000000000000000000 -80804999192413215478328239/500000000000000000000000000
645191589325915457243382611/500000000000000000000000000 3969539621572814938855639029/1000000000000000000000000000 576751950321051065838130283/500000000000000000000000000 890633302580445054024008523/1000000000000000000000000000
556538122059030919392558527/500000000000000000000000000 576751950321051065838130283/500000000000000000000000000 5040262292917459106008455711/1000000000000000000000000000 119952147389210170172484163/100000000000000000000000000
-80804999192413215478328239/500000000000000000000000000 890633302580445054024008523/1000000000000000000000000000 119952147389210170172484163/100000000000000000000000000 7629116420635823889945158693/1000000000000000000000000000


--- 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 :
318667698132987065066027781/200000000000000000000000000 32292974745346489561986467/1000000000000000000000000000 43768447533108211573985583/500000000000000000000000000 -324918727008857265985768101/1000000000000000000000000000 19893084733471259067117543/500000000000000000000000000 -100733641952399925221734637/500000000000000000000000000 180405059996051285720798769/1000000000000000000000000000 -359275797889249111305447577/500000000000000000000000000 -32641625124169667802004679/200000000000000000000000000 -17242981033420321073311957/1000000000000000000000000000
32292974745346489561986467/1000000000000000000000000000 35368066941259085393983857/25000000000000000000000000 8880113361679260304082757/62500000000000000000000000 -185288672495648627512090401/500000000000000000000000000 -75747043726103978691865469/1000000000000000000000000000 -224475535792316211954322327/500000000000000000000000000 56299615100745818639746837/500000000000000000000000000 -161108740923670013626214961/200000000000000000000000000 -63781226762089526254109879/250000000000000000000000000 180405059996051285720798769/1000000000000000000000000000
43768447533108211573985583/500000000000000000000000000 8880113361679260304082757/62500000000000000000000000 27167743470574649420827257/50000000000000000000000000 -97383413327144264466669793/1000000000000000000000000000 140321239927406405080748879/1000000000000000000000000000 -102740654701693670597190763/500000000000000000000000000 8880113361679260304082757/62500000000000000000000000 -842433274069683175714555907/1000000000000000000000000000 -97383413327144264466669793/1000000000000000000000000000 43768447533108211573985583/500000000000000000000000000
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-17242981033420321073311957/1000000000000000000000000000 180405059996051285720798769/1000000000000000000000000000 43768447533108211573985583/500000000000000000000000000 -32641625124169667802004679/200000000000000000000000000 19893084733471259067117543/500000000000000000000000000 -100733641952399925221734637/500000000000000000000000000 32292974745346489561986467/1000000000000000000000000000 -359275797889249111305447577/500000000000000000000000000 -324918727008857265985768101/1000000000000000000000000000 318667698132987065066027781/200000000000000000000000000


--- 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 :
2094490514809294501562240999/1000000000000000000000000000 51530640798133724006844671/200000000000000000000000000 64788378828531786106537559/125000000000000000000000000 -216345004580171465129426559/500000000000000000000000000 -42583909440892034353796573/1000000000000000000000000000 291248109233916576967948819/1000000000000000000000000000
51530640798133724006844671/200000000000000000000000000 568105177654336894182056271/250000000000000000000000000 23700649246883676173725471/31250000000000000000000000 16305979299800089323333361/1000000000000000000000000000 291248109233916576967948819/1000000000000000000000000000 205042522281368047519491131/500000000000000000000000000
64788378828531786106537559/125000000000000000000000000 23700649246883676173725471/31250000000000000000000000 578509053170222041378980963/100000000000000000000000000 0/1 64788378828531786106537559/125000000000000000000000000 23700649246883676173725471/31250000000000000000000000
-216345004580171465129426559/500000000000000000000000000 16305979299800089323333361/1000000000000000000000000000 0/1 3831945633841317248342957509/1000000000000000000000000000 216345004580171465129426559/500000000000000000000000000 -16305979299800089323333361/1000000000000000000000000000
-42583909440892034353796573/1000000000000000000000000000 291248109233916576967948819/1000000000000000000000000000 64788378828531786106537559/125000000000000000000000000 216345004580171465129426559/500000000000000000000000000 2094490514809294501562240999/1000000000000000000000000000 51530640798133724006844671/200000000000000000000000000
291248109233916576967948819/1000000000000000000000000000 205042522281368047519491131/500000000000000000000000000 23700649246883676173725471/31250000000000000000000000 -16305979299800089323333361/1000000000000000000000000000 51530640798133724006844671/200000000000000000000000000 568105177654336894182056271/250000000000000000000000000


--- 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 :
28403496919878900048773307/25000000000000000000000000 -65614958740505377362486453/125000000000000000000000000 -68818910613123196567292823/250000000000000000000000000 -11861045540991015075607017/500000000000000000000000000 -47475276904039877472089341/250000000000000000000000000 4836062196913872182578683/250000000000000000000000000 263562449827937899941287/20000000000000000000000000 64791326029163383990951393/125000000000000000000000000 -3573797477749140111334013/12500000000000000000000000
-65614958740505377362486453/125000000000000000000000000 124685414576391555686320419/50000000000000000000000000 32409387454315548348117411/62500000000000000000000000 -661471684088565543215377/1000000000000000000000000000 80933679943421335121703077/1000000000000000000000000000 -131002488642521319798684847/250000000000000000000000000 -36772683654357914161390899/1000000000000000000000000000 -618830487430218909563456999/250000000000000000000000000 64791326029163383990951393/125000000000000000000000000
-68818910613123196567292823/250000000000000000000000000 32409387454315548348117411/62500000000000000000000000 131242716052895541247683841/125000000000000000000000000 -39865606928011270556948157/250000000000000000000000000 -17375067375076710504719903/125000000000000000000000000 -12831972762253415163378771/100000000000000000000000000 341234716686995984839221/31250000000000000000000000 -131002488642521319798684847/250000000000000000000000000 4836062196913872182578683/250000000000000000000000000
-11861045540991015075607017/500000000000000000000000000 -661471684088565543215377/1000000000000000000000000000 -39865606928011270556948157/250000000000000000000000000 329136842313272616392324831/1000000000000000000000000000 -24697548997504546092774281/500000000000000000000000000 -39865606928011270556948157/250000000000000000000000000 264588643418355690762967/100000000000000000000000000 -661471684088565543215377/1000000000000000000000000000 -11861045540991015075607017/500000000000000000000000000
-47475276904039877472089341/250000000000000000000000000 80933679943421335121703077/1000000000000000000000000000 -17375067375076710504719903/125000000000000000000000000 -24697548997504546092774281/500000000000000000000000000 53872064070099475594751677/31250000000000000000000000 -17375067375076710504719903/125000000000000000000000000 -323734719958324054388189233/1000000000000000000000000000 80933679943421335121703077/1000000000000000000000000000 -47475276904039877472089341/250000000000000000000000000
4836062196913872182578683/250000000000000000000000000 -131002488642521319798684847/250000000000000000000000000 -12831972762253415163378771/100000000000000000000000000 -39865606928011270556948157/250000000000000000000000000 -17375067375076710504719903/125000000000000000000000000 131242716052895541247683841/125000000000000000000000000 341234716686995984839221/31250000000000000000000000 32409387454315548348117411/62500000000000000000000000 -68818910613123196567292823/250000000000000000000000000
263562449827937899941287/20000000000000000000000000 -36772683654357914161390899/1000000000000000000000000000 341234716686995984839221/31250000000000000000000000 264588643418355690762967/100000000000000000000000000 -323734719958324054388189233/1000000000000000000000000000 341234716686995984839221/31250000000000000000000000 147090734779219512174231493/1000000000000000000000000000 -36772683654357914161390899/1000000000000000000000000000 263562449827937899941287/20000000000000000000000000
64791326029163383990951393/125000000000000000000000000 -618830487430218909563456999/250000000000000000000000000 -131002488642521319798684847/250000000000000000000000000 -661471684088565543215377/1000000000000000000000000000 80933679943421335121703077/1000000000000000000000000000 32409387454315548348117411/62500000000000000000000000 -36772683654357914161390899/1000000000000000000000000000 124685414576391555686320419/50000000000000000000000000 -65614958740505377362486453/125000000000000000000000000
-3573797477749140111334013/12500000000000000000000000 64791326029163383990951393/125000000000000000000000000 4836062196913872182578683/250000000000000000000000000 -11861045540991015075607017/500000000000000000000000000 -47475276904039877472089341/250000000000000000000000000 -68818910613123196567292823/250000000000000000000000000 263562449827937899941287/20000000000000000000000000 -65614958740505377362486453/125000000000000000000000000 28403496919878900048773307/25000000000000000000000000


--- 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 :
0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/1 528814654160432902852217209/200000000000000000000000000 119890386044348684712436801/1000000000000000000000000000 -119890386190008693882001119/1000000000000000000000000000 119890385826090693939499371/1000000000000000000000000000 -142638226759112579/1000000000000000000000000000 0/1
0/1 119890386044348684712436801/1000000000000000000000000000 4627524283989602325772680147/1000000000000000000000000000 -481484617119001576421220877/1000000000000000000000000000 -2073019837534022888999364621/1000000000000000000000000000 -119890386190008693882001119/1000000000000000000000000000 0/1
0/1 -119890386190008693882001119/1000000000000000000000000000 -481484617119001576421220877/1000000000000000000000000000 4627524283989602325772680147/1000000000000000000000000000 -2073019837534022888999364621/1000000000000000000000000000 119890386044348684712436801/1000000000000000000000000000 0/1
0/1 119890385826090693939499371/1000000000000000000000000000 -2073019837534022888999364621/1000000000000000000000000000 -2073019837534022888999364621/1000000000000000000000000000 185100971688267105523169117/40000000000000000000000000 119890385826090693939499371/1000000000000000000000000000 0/1
0/1 -142638226759112579/1000000000000000000000000000 -119890386190008693882001119/1000000000000000000000000000 119890386044348684712436801/1000000000000000000000000000 119890385826090693939499371/1000000000000000000000000000 528814654160432902852217209/200000000000000000000000000 0/1
0/1 0/1 0/1 0/1 0/1 0/1 0/1


--- 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 :
3196045181489111881494528279/1000000000000000000000000000 -124718146405277003341643031/500000000000000000000000000 -61531416107666617739025529/250000000000000000000000000 3157447574835799443786467/40000000000000000000000000 -152483935618105869532341193/200000000000000000000000000 -6790169977393932209106779/125000000000000000000000000 -1186412365055068161125006411/1000000000000000000000000000 432870561024989174014367609/1000000000000000000000000000 -28829850711039435109779059/100000000000000000000000000 108483666806779528386760169/1000000000000000000000000000 -4423242933931117144314837/15625000000000000000000000 47772058083868121702566991/500000000000000000000000000
-124718146405277003341643031/500000000000000000000000000 1431106668733645218520086453/500000000000000000000000000 -267984570475694034792180039/1000000000000000000000000000 -14794177161585743485957183/1000000000000000000000000000 -197208941525650641018120539/250000000000000000000000000 -6628327690990189451607523/500000000000000000000000000 -72383418011464198181901607/250000000000000000000000000 21127662791528863323815179/200000000000000000000000000 -54018062490683081394883947/250000000000000000000000000 10398173276130790118792519/250000000000000000000000000 -148282931072677525525487611/500000000000000000000000000 23316714120479932220107829/1000000000000000000000000000
-61531416107666617739025529/250000000000000000000000000 -267984570475694034792180039/1000000000000000000000000000 2149464391061577313838687173/1000000000000000000000000000 -70552485307770624004036289/250000000000000000000000000 -70686313474456772890666803/1000000000000000000000000000 -14905909727841879924494747/1000000000000000000000000000 -65110873419293298631660127/200000000000000000000000000 59390354465368552838805493/500000000000000000000000000 -407060020982437508845769131/1000000000000000000000000000 -7384086335347715533269537/62500000000000000000000000 -160358925750506116951774711/1000000000000000000000000000 26217530581047041129831367/1000000000000000000000000000
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-28829850711039435109779059/100000000000000000000000000 -54018062490683081394883947/250000000000000000000000000 -407060020982437508845769131/1000000000000000000000000000 -308836785300155771457521459/500000000000000000000000000 64120021721920417052667811/500000000000000000000000000 -926408776703321296656683/100000000000000000000000000 -6322920230785944090951647/31250000000000000000000000 73822724573550319778473957/1000000000000000000000000000 1761835231527237675967805279/1000000000000000000000000000 -58666466817082488441950089/250000000000000000000000000 4436905370500377345975481/100000000000000000000000000 81471552886544158303177/5000000000000000000000000
108483666806779528386760169/1000000000000000000000000000 10398173276130790118792519/250000000000000000000000000 -7384086335347715533269537/62500000000000000000000000 -112015131651469655248054999/1000000000000000000000000000 -72432179680651645206946519/1000000000000000000000000000 -6659824852612316812404387/500000000000000000000000000 -290909472496315781311218351/1000000000000000000000000000 106140284390912133747330387/1000000000000000000000000000 -58666466817082488441950089/250000000000000000000000000 93417903761973018906729709/200000000000000000000000000 -23140184075752973571458527/250000000000000000000000000 5856877530326343555047077/250000000000000000000000000
-4423242933931117144314837/15625000000000000000000000 -148282931072677525525487611/500000000000000000000000000 -160358925750506116951774711/1000000000000000000000000000 -276854256577823528720802681/1000000000000000000000000000 -10040241753015597389786293/20000000000000000000000000 -6694788501223540800399501/250000000000000000000000000 -292436729583660170103935391/500000000000000000000000000 213395030440797092624983711/1000000000000000000000000000 4436905370500377345975481/100000000000000000000000000 -23140184075752973571458527/250000000000000000000000000 86219359703489702329368313/31250000000000000000000000 1884040278944766528327213/40000000000000000000000000
47772058083868121702566991/500000000000000000000000000 23316714120479932220107829/1000000000000000000000000000 26217530581047041129831367/1000000000000000000000000000 -16871471214115888322897961/1000000000000000000000000000 3492913863138024832515889/1000000000000000000000000000 -17604916912250728484699653/1000000000000000000000000000 -384502379077004967156070269/1000000000000000000000000000 17536036065040504622055517/125000000000000000000000000 81471552886544158303177/5000000000000000000000000 5856877530326343555047077/250000000000000000000000000 1884040278944766528327213/40000000000000000000000000 3096473073962776589242431/100000000000000000000000000


--- 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 :
7629116420635823889945158693/1000000000000000000000000000 890633302580445054024008523/1000000000000000000000000000 119952147389210170172484163/100000000000000000000000000 -80804999192413215478328239/500000000000000000000000000
890633302580445054024008523/1000000000000000000000000000 3969539621572814938855639029/1000000000000000000000000000 576751950321051065838130283/500000000000000000000000000 645191589325915457243382611/500000000000000000000000000
119952147389210170172484163/100000000000000000000000000 576751950321051065838130283/500000000000000000000000000 5040262292917459106008455711/1000000000000000000000000000 556538122059030919392558527/500000000000000000000000000
-80804999192413215478328239/500000000000000000000000000 645191589325915457243382611/500000000000000000000000000 556538122059030919392558527/500000000000000000000000000 185650393269063794693657341/62500000000000000000000000


--- 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 :
944483712511736838783017041/1000000000000000000000000000 -17120099519179115114865923/200000000000000000000000000 -37653156389862993815851163/1000000000000000000000000000 -70726391401852999223538319/500000000000000000000000000 0/1 -1866332439871032766013199/1000000000000000000000000000
-17120099519179115114865923/200000000000000000000000000 410783406184721559047692141/1000000000000000000000000000 -103872200843348091544415149/1000000000000000000000000000 -62869447887968093613402029/500000000000000000000000000 0/1 -2363055599018709259786071/1000000000000000000000000000
-37653156389862993815851163/1000000000000000000000000000 -103872200843348091544415149/1000000000000000000000000000 218726148142582335642270049/1000000000000000000000000000 -13157038226758802228710619/500000000000000000000000000 0/1 -2601425791803952922198421/1000000000000000000000000000
-70726391401852999223538319/500000000000000000000000000 -62869447887968093613402029/500000000000000000000000000 -13157038226758802228710619/500000000000000000000000000 116258701628354124214824123/250000000000000000000000000 0/1 -3043491865896518109178499/500000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
-1866332439871032766013199/1000000000000000000000000000 -2363055599018709259786071/1000000000000000000000000000 -2601425791803952922198421/1000000000000000000000000000 -3043491865896518109178499/500000000000000000000000000 0/1 11129092230885428998259343/1000000000000000000000000000


--- 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 :
2778959934943950635967900411/1000000000000000000000000000 -1638802812768259708925377733/1000000000000000000000000000 -570078563703293084649865523/1000000000000000000000000000 -251534293447711288895045347/1000000000000000000000000000 251534297035242192281099431/1000000000000000000000000000 -251534294418591366220977553/1000000000000000000000000000 9158359527224683801325301/500000000000000000000000000 0/1 0/1 0/1
-1638802812768259708925377733/1000000000000000000000000000 2778959935990322323317157461/1000000000000000000000000000 -285039279288940485484985869/500000000000000000000000000 50306858743668771980441859/200000000000000000000000000 -31441787028192590959992591/125000000000000000000000000 25153429306182436851856613/100000000000000000000000000 18316715498175674012312633/1000000000000000000000000000 0/1 0/1 0/1
-570078563703293084649865523/1000000000000000000000000000 -285039279288940485484985869/500000000000000000000000000 173684996340814941191741687/62500000000000000000000000 -251534293659590611833465457/1000000000000000000000000000 125767146309038361855891903/500000000000000000000000000 125767147064261800203191929/500000000000000000000000000 -572397353746931430294787/31250000000000000000000000 0/1 0/1 0/1
-251534293447711288895045347/1000000000000000000000000000 50306858743668771980441859/200000000000000000000000000 -251534293659590611833465457/1000000000000000000000000000 1336201350034916051211094173/500000000000000000000000000 -1600842908824179800584980741/1000000000000000000000000000 -535779898425724536059128709/1000000000000000000000000000 -1639160974489224923/1000000000000000000000000000 0/1 0/1 0/1
251534297035242192281099431/1000000000000000000000000000 -31441787028192590959992591/125000000000000000000000000 125767146309038361855891903/500000000000000000000000000 -1600842908824179800584980741/1000000000000000000000000000 81555258195265816599617/30517578125000000000000 -16743121725342405730528529/31250000000000000000000000 943423937873232529/500000000000000000000000000 0/1 0/1 0/1
-251534294418591366220977553/1000000000000000000000000000 25153429306182436851856613/100000000000000000000000000 125767147064261800203191929/500000000000000000000000000 -535779898425724536059128709/1000000000000000000000000000 -16743121725342405730528529/31250000000000000000000000 668100674905094365896546563/250000000000000000000000000 33852886770077/3906250000000000000000000 0/1 0/1 0/1
9158359527224683801325301/500000000000000000000000000 18316715498175674012312633/1000000000000000000000000000 -572397353746931430294787/31250000000000000000000000 -1639160974489224923/1000000000000000000000000000 943423937873232529/500000000000000000000000000 33852886770077/3906250000000000000000000 159291251291010480538419889/200000000000000000000000000 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 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 0/1


--- 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 :
11127713981056515704361593/1000000000000000000000000000 0/1 -2601464916009807248358941/1000000000000000000000000000 -1521754221106992594854253/250000000000000000000000000 -2363086879218067416438449/1000000000000000000000000000 -1866344660177617367492641/1000000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
-2601464916009807248358941/1000000000000000000000000000 0/1 218726147032026575189712409/1000000000000000000000000000 -13157038697294725390637731/500000000000000000000000000 -103872201731256152974314777/1000000000000000000000000000 -7530631347349695806892819/200000000000000000000000000
-1521754221106992594854253/250000000000000000000000000 0/1 -13157038697294725390637731/500000000000000000000000000 232517402857985610923767471/500000000000000000000000000 -7858681033021015527250529/62500000000000000000000000 -7072639154882497966914677/50000000000000000000000000
-2363086879218067416438449/1000000000000000000000000000 0/1 -103872201731256152974314777/1000000000000000000000000000 -7858681033021015527250529/62500000000000000000000000 410783405474825046814025917/1000000000000000000000000000 -85600497873235429261717987/1000000000000000000000000000
-1866344660177617367492641/1000000000000000000000000000 0/1 -7530631347349695806892819/200000000000000000000000000 -7072639154882497966914677/50000000000000000000000000 -85600497873235429261717987/1000000000000000000000000000 944483712403387024035230929/1000000000000000000000000000


--- 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 :
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 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 0/1 1336201350034916051211094173/500000000000000000000000000 -1600842908824179800584980741/1000000000000000000000000000 -535779898425724536059128709/1000000000000000000000000000 1639160974489224923/1000000000000000000000000000 -251534293447711288895045347/1000000000000000000000000000 50306858743668771980441859/200000000000000000000000000 -251534293659590611833465457/1000000000000000000000000000
0/1 0/1 0/1 -1600842908824179800584980741/1000000000000000000000000000 81555258195265816599617/30517578125000000000000 -16743121725342405730528529/31250000000000000000000000 -943423937873232529/500000000000000000000000000 251534297035242192281099431/1000000000000000000000000000 -31441787028192590959992591/125000000000000000000000000 125767146309038361855891903/500000000000000000000000000
0/1 0/1 0/1 -535779898425724536059128709/1000000000000000000000000000 -16743121725342405730528529/31250000000000000000000000 668100674905094365896546563/250000000000000000000000000 -33852886770077/3906250000000000000000000 -251534294418591366220977553/1000000000000000000000000000 25153429306182436851856613/100000000000000000000000000 125767147064261800203191929/500000000000000000000000000
0/1 0/1 0/1 1639160974489224923/1000000000000000000000000000 -943423937873232529/500000000000000000000000000 -33852886770077/3906250000000000000000000 159291251291010480538419889/200000000000000000000000000 -9158359527224683801325301/500000000000000000000000000 -18316715498175674012312633/1000000000000000000000000000 572397353746931430294787/31250000000000000000000000
0/1 0/1 0/1 -251534293447711288895045347/1000000000000000000000000000 251534297035242192281099431/1000000000000000000000000000 -251534294418591366220977553/1000000000000000000000000000 -9158359527224683801325301/500000000000000000000000000 2778959934943950635967900411/1000000000000000000000000000 -1638802812768259708925377733/1000000000000000000000000000 -570078563703293084649865523/1000000000000000000000000000
0/1 0/1 0/1 50306858743668771980441859/200000000000000000000000000 -31441787028192590959992591/125000000000000000000000000 25153429306182436851856613/100000000000000000000000000 -18316715498175674012312633/1000000000000000000000000000 -1638802812768259708925377733/1000000000000000000000000000 2778959935990322323317157461/1000000000000000000000000000 -285039279288940485484985869/500000000000000000000000000
0/1 0/1 0/1 -251534293659590611833465457/1000000000000000000000000000 125767146309038361855891903/500000000000000000000000000 125767147064261800203191929/500000000000000000000000000 572397353746931430294787/31250000000000000000000000 -570078563703293084649865523/1000000000000000000000000000 -285039279288940485484985869/500000000000000000000000000 173684996340814941191741687/62500000000000000000000000

