#Density : 18855194221436384907899842799/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 8, 10, 11, 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 :
8396751744504191468192091/12500000000000000000000000 -238896021524093647549953/6250000000000000000000000 4483035965303744821812801/250000000000000000000000000 -164169586796383934714699049/250000000000000000000000000 8396751744504191468192091/12500000000000000000000000 4483035965303744821812801/250000000000000000000000000
-238896021524093647549953/6250000000000000000000000 622339414784565473684559/2500000000000000000000000 -145982447500919086680129/1250000000000000000000000 -74836209255421025413599/1250000000000000000000000 -238896021524093647549953/6250000000000000000000000 -145982447500919086680129/1250000000000000000000000
4483035965303744821812801/250000000000000000000000000 -145982447500919086680129/1250000000000000000000000 54789073543055623633695171/1000000000000000000000000000 28086983959079032898895621/1000000000000000000000000000 4483035965303744821812801/250000000000000000000000000 54789073543055623633695171/1000000000000000000000000000
-164169586796383934714699049/250000000000000000000000000 -74836209255421025413599/1250000000000000000000000 28086983959079032898895621/1000000000000000000000000000 680269519505901718136483571/1000000000000000000000000000 -164169586796383934714699049/250000000000000000000000000 28086983959079032898895621/1000000000000000000000000000
8396751744504191468192091/12500000000000000000000000 -238896021524093647549953/6250000000000000000000000 4483035965303744821812801/250000000000000000000000000 -164169586796383934714699049/250000000000000000000000000 8396751744504191468192091/12500000000000000000000000 4483035965303744821812801/250000000000000000000000000
4483035965303744821812801/250000000000000000000000000 -145982447500919086680129/1250000000000000000000000 54789073543055623633695171/1000000000000000000000000000 28086983959079032898895621/1000000000000000000000000000 4483035965303744821812801/250000000000000000000000000 54789073543055623633695171/1000000000000000000000000000


--- 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 :
54789073543055623633695171/1000000000000000000000000000 28086983959079032898895621/1000000000000000000000000000 4483035965303744821812801/250000000000000000000000000 -145982447500919086680129/1250000000000000000000000 54789073543055623633695171/1000000000000000000000000000 4483035965303744821812801/250000000000000000000000000
28086983959079032898895621/1000000000000000000000000000 680269519505901718136483571/1000000000000000000000000000 -164169586796383934714699049/250000000000000000000000000 -74836209255421025413599/1250000000000000000000000 28086983959079032898895621/1000000000000000000000000000 -164169586796383934714699049/250000000000000000000000000
4483035965303744821812801/250000000000000000000000000 -164169586796383934714699049/250000000000000000000000000 8396751744504191468192091/12500000000000000000000000 -238896021524093647549953/6250000000000000000000000 4483035965303744821812801/250000000000000000000000000 8396751744504191468192091/12500000000000000000000000
-145982447500919086680129/1250000000000000000000000 -74836209255421025413599/1250000000000000000000000 -238896021524093647549953/6250000000000000000000000 622339414784565473684559/2500000000000000000000000 -145982447500919086680129/1250000000000000000000000 -238896021524093647549953/6250000000000000000000000
54789073543055623633695171/1000000000000000000000000000 28086983959079032898895621/1000000000000000000000000000 4483035965303744821812801/250000000000000000000000000 -145982447500919086680129/1250000000000000000000000 54789073543055623633695171/1000000000000000000000000000 4483035965303744821812801/250000000000000000000000000
4483035965303744821812801/250000000000000000000000000 -164169586796383934714699049/250000000000000000000000000 8396751744504191468192091/12500000000000000000000000 -238896021524093647549953/6250000000000000000000000 4483035965303744821812801/250000000000000000000000000 8396751744504191468192091/12500000000000000000000000


--- 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 :
955092792231037588951962911/1000000000000000000000000000 195758948946994108477954657/125000000000000000000000000 580811253878902091754477/1000000000000000000000000000 1420322219380319127547738351/1000000000000000000000000000 -94811551468699422237450789/100000000000000000000000000 -37589709578802967287877869/1000000000000000000000000000 10435240389067628154828371/125000000000000000000000000 349016252096085056713855403/500000000000000000000000000 -1420020431812104026812946107/1000000000000000000000000000 415784239404538010375589/1000000000000000000000000000 -1571325069929604600251309979/1000000000000000000000000000 -700766962345324378999211481/1000000000000000000000000000
195758948946994108477954657/125000000000000000000000000 1670726112483266710293160517/500000000000000000000000000 -54664223557393250703739/125000000000000000000000000 310628401043077812255621521/250000000000000000000000000 -785662537026659883121142387/500000000000000000000000000 -90834166183153928120272609/500000000000000000000000000 28289107314319753619175653/125000000000000000000000000 904051603764061739025791527/500000000000000000000000000 -15534260391238597361739011/12500000000000000000000000 -6261169786756663997593/20000000000000000000000000 -1668748334180505772846229309/500000000000000000000000000 -180604431760782954841991871/100000000000000000000000000
580811253878902091754477/1000000000000000000000000000 -54664223557393250703739/125000000000000000000000000 96697013558177323716391/1000000000000000000000000000 25120130743982495762119/1000000000000000000000000000 290405046731023072612627/500000000000000000000000000 34690256556287040636479/1000000000000000000000000000 -58942475199942275536269/500000000000000000000000000 -113811242206480881390101/500000000000000000000000000 25123134328062887021333/1000000000000000000000000000 69222260495061015694791/1000000000000000000000000000 -437318243635427956060881/1000000000000000000000000000 -227627609690085310743401/1000000000000000000000000000
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--- 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 :
336398143531907851681761/156250000000000000000000 289756852622680805204109/781250000000000000000000 289756852622680805204109/781250000000000000000000 -3429376513627835568857133/3125000000000000000000000
289756852622680805204109/781250000000000000000000 1029964009837589243717384353/200000000000000000000000000 -5022033894445016657773906213/1000000000000000000000000000 -2953896637520210235839977/15625000000000000000000000
289756852622680805204109/781250000000000000000000 -5022033894445016657773906213/1000000000000000000000000000 1029964009837589243717384353/200000000000000000000000000 -2953896637520210235839977/15625000000000000000000000
-3429376513627835568857133/3125000000000000000000000 -2953896637520210235839977/15625000000000000000000000 -2953896637520210235839977/15625000000000000000000000 34960428582468369380829449/62500000000000000000000000


--- Term 10 ---

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

Flags :
F1  : {2, 3}
F2  : {2, 3, 4}
F3  : {2, 3, 5}
F4  : {2, 3, 4, 5}
F5  : {2, 3, 6}
F6  : {2, 3, 4, 6}
F7  : {2, 3, 5, 6}
F8  : {2, 3, 4, 5, 6}
F9  : {2, 3, 7}
F10 : {2, 3, 4, 7}
F11 : {2, 3, 5, 7}
F12 : {2, 3, 4, 5, 7}
F13 : {2, 3, 6, 7}
F14 : {2, 3, 4, 6, 7}
F15 : {2, 3, 5, 6, 7}
F16 : {2, 3, 4, 5, 6, 7}

Basis :
B1  : (F1)
B2  : (F2)+(F3)
B3  : (F4)
B4  : (F5)+(F9)
B5  : (F6)+(F11)
B6  : (F7)+(F10)
B7  : (F8)+(F12)
B8  : (F13)
B9  : (F14)+(F15)
B10 : (F16)

Matrix :
56738540258730336666667749/50000000000000000000000000 43716599461171798267292547/100000000000000000000000000 110145195147672778086960589/200000000000000000000000000 -89399973173419546132221859/250000000000000000000000000 1126092649250852635202331267/1000000000000000000000000000 -38417451134615079538376391/1000000000000000000000000000 -327998282909158345234581709/250000000000000000000000000 -31836621648770916059444607/1000000000000000000000000000 -219774088999785203889729743/500000000000000000000000000 -83964829378696503073056979/500000000000000000000000000
43716599461171798267292547/100000000000000000000000000 2845100795536570064430315973/500000000000000000000000000 -78455811425116847260790853/100000000000000000000000000 96634637880169697034568293/100000000000000000000000000 -769318594345768791626669889/250000000000000000000000000 -27941514919632085841868553/62500000000000000000000000 -424452568233247774139912863/125000000000000000000000000 -633411281950837528969938861/1000000000000000000000000000 163510087701983935034001137/125000000000000000000000000 -327998282909158345234581709/250000000000000000000000000
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-83964829378696503073056979/500000000000000000000000000 -327998282909158345234581709/250000000000000000000000000 110145195147672778086960589/200000000000000000000000000 -219774088999785203889729743/500000000000000000000000000 1126092649250852635202331267/1000000000000000000000000000 -38417451134615079538376391/1000000000000000000000000000 43716599461171798267292547/100000000000000000000000000 -31836621648770916059444607/1000000000000000000000000000 -89399973173419546132221859/250000000000000000000000000 56738540258730336666667749/50000000000000000000000000


--- 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 :
961044231047260410889204283/500000000000000000000000000 1377591658495162392230996357/1000000000000000000000000000 -1839680839887826181649888037/500000000000000000000000000 -2676089888077157079802587/25000000000000000000000000 24568026449649146049522393/50000000000000000000000000 1035857332592341350537860069/1000000000000000000000000000
1377591658495162392230996357/1000000000000000000000000000 5749635565269226951928187677/1000000000000000000000000000 -1839680839887826181649888037/500000000000000000000000000 75062419766651637332212581/100000000000000000000000000 1035857332592341350537860069/1000000000000000000000000000 -3336186574181723209159331251/1000000000000000000000000000
-1839680839887826181649888037/500000000000000000000000000 -1839680839887826181649888037/500000000000000000000000000 2804638179757302674523608213/250000000000000000000000000 0/1 -1839680839887826181649888037/500000000000000000000000000 -1839680839887826181649888037/500000000000000000000000000
-2676089888077157079802587/25000000000000000000000000 75062419766651637332212581/100000000000000000000000000 0/1 16045392048529258511218017/20000000000000000000000000 2676089888077157079802587/25000000000000000000000000 -75062419766651637332212581/100000000000000000000000000
24568026449649146049522393/50000000000000000000000000 1035857332592341350537860069/1000000000000000000000000000 -1839680839887826181649888037/500000000000000000000000000 2676089888077157079802587/25000000000000000000000000 961044231047260410889204283/500000000000000000000000000 1377591658495162392230996357/1000000000000000000000000000
1035857332592341350537860069/1000000000000000000000000000 -3336186574181723209159331251/1000000000000000000000000000 -1839680839887826181649888037/500000000000000000000000000 -75062419766651637332212581/100000000000000000000000000 1377591658495162392230996357/1000000000000000000000000000 5749635565269226951928187677/1000000000000000000000000000


--- Term 12 ---

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

Flags :
F1  : {1, 2}
F2  : {1, 2, 4}
F3  : {1, 2, 5}
F4  : {1, 2, 4, 5}
F5  : {1, 2, 6}
F6  : {1, 2, 4, 6}
F7  : {1, 2, 5, 6}
F8  : {1, 2, 4, 5, 6}
F9  : {1, 2, 7}
F10 : {1, 2, 4, 7}
F11 : {1, 2, 5, 7}
F12 : {1, 2, 4, 5, 7}
F13 : {1, 2, 6, 7}
F14 : {1, 2, 4, 6, 7}
F15 : {1, 2, 5, 6, 7}
F16 : {1, 2, 4, 5, 6, 7}

Basis :
B1 : (F1)
B2 : (F2)+(F9)
B3 : (F3)+(F5)
B4 : (F4)+(F6)+(F11)+(F13)
B5 : (F7)
B6 : (F8)+(F15)
B7 : (F10)
B8 : (F12)+(F14)
B9 : (F16)

Matrix :
1011139807746876114493073/1953125000000000000000000 -1182105757101976687649/19531250000000000000000 -2742770544402507139425561/15625000000000000000000000 2031020584945778758106803/15625000000000000000000000 -19686931126659056478207761/31250000000000000000000000 -2742770544402507139425561/15625000000000000000000000 -11966486852362931976858103/31250000000000000000000000 -1182105757101976687649/19531250000000000000000 1011139807746876114493073/1953125000000000000000000
-1182105757101976687649/19531250000000000000000 27639580803121726504573/3906250000000000000000000 641304956269622901189621/31250000000000000000000000 -94977217360834143561691/6250000000000000000000000 4603128953324639414737021/62500000000000000000000000 641304956269622901189621/31250000000000000000000000 2797961843077686147318059/62500000000000000000000000 27639580803121726504573/3906250000000000000000000 -1182105757101976687649/19531250000000000000000
-2742770544402507139425561/15625000000000000000000000 641304956269622901189621/31250000000000000000000000 14879822160310485151953471/250000000000000000000000000 -11018502870751746110276277/250000000000000000000000000 106803696957005982997774071/500000000000000000000000000 14879822160310485151953471/250000000000000000000000000 12983892991722567656220237/100000000000000000000000000 641304956269622901189621/31250000000000000000000000 -2742770544402507139425561/15625000000000000000000000
2031020584945778758106803/15625000000000000000000000 -94977217360834143561691/6250000000000000000000000 -11018502870751746110276277/250000000000000000000000000 25722785098958228883739591/250000000000000000000000000 -79088098536234982158123677/500000000000000000000000000 -11018502870751746110276277/250000000000000000000000000 -48072840054604646729813131/500000000000000000000000000 -94977217360834143561691/6250000000000000000000000 2031020584945778758106803/15625000000000000000000000
-19686931126659056478207761/31250000000000000000000000 4603128953324639414737021/62500000000000000000000000 106803696957005982997774071/500000000000000000000000000 -79088098536234982158123677/500000000000000000000000000 766610619454201047931874671/1000000000000000000000000000 106803696957005982997774071/500000000000000000000000000 93195184557312960990336757/200000000000000000000000000 4603128953324639414737021/62500000000000000000000000 -19686931126659056478207761/31250000000000000000000000
-2742770544402507139425561/15625000000000000000000000 641304956269622901189621/31250000000000000000000000 14879822160310485151953471/250000000000000000000000000 -11018502870751746110276277/250000000000000000000000000 106803696957005982997774071/500000000000000000000000000 14879822160310485151953471/250000000000000000000000000 12983892991722567656220237/100000000000000000000000000 641304956269622901189621/31250000000000000000000000 -2742770544402507139425561/15625000000000000000000000
-11966486852362931976858103/31250000000000000000000000 2797961843077686147318059/62500000000000000000000000 12983892991722567656220237/100000000000000000000000000 -48072840054604646729813131/500000000000000000000000000 93195184557312960990336757/200000000000000000000000000 12983892991722567656220237/100000000000000000000000000 283238393920738827760182463/1000000000000000000000000000 2797961843077686147318059/62500000000000000000000000 -11966486852362931976858103/31250000000000000000000000
-1182105757101976687649/19531250000000000000000 27639580803121726504573/3906250000000000000000000 641304956269622901189621/31250000000000000000000000 -94977217360834143561691/6250000000000000000000000 4603128953324639414737021/62500000000000000000000000 641304956269622901189621/31250000000000000000000000 2797961843077686147318059/62500000000000000000000000 27639580803121726504573/3906250000000000000000000 -1182105757101976687649/19531250000000000000000
1011139807746876114493073/1953125000000000000000000 -1182105757101976687649/19531250000000000000000 -2742770544402507139425561/15625000000000000000000000 2031020584945778758106803/15625000000000000000000000 -19686931126659056478207761/31250000000000000000000000 -2742770544402507139425561/15625000000000000000000000 -11966486852362931976858103/31250000000000000000000000 -1182105757101976687649/19531250000000000000000 1011139807746876114493073/1953125000000000000000000


--- 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 :
24084611271443295641501701/50000000000000000000000000 100895017720100761/200000000000000000000000000 -193349560729294732831187201/1000000000000000000000000000 193349561739058159684445419/1000000000000000000000000000 96674780774735701236487009/500000000000000000000000000 403891283095497984062110439/1000000000000000000000000000 401038612448925313/500000000000000000000000000
100895017720100761/200000000000000000000000000 238949402601981655251812331/125000000000000000000000000 81528058161859229085108983/200000000000000000000000000 -81528057718019594348191327/200000000000000000000000000 203820144849264489320794331/500000000000000000000000000 143033219092185513/250000000000000000000000000 403891283095497984062110439/1000000000000000000000000000
-193349560729294732831187201/1000000000000000000000000000 81528058161859229085108983/200000000000000000000000000 87634064644433543755631769/100000000000000000000000000 -5675376561738153678322617/12500000000000000000000000 -52788815171855807227882791/250000000000000000000000000 -81528057718019594348191327/200000000000000000000000000 193349561739058159684445419/1000000000000000000000000000
193349561739058159684445419/1000000000000000000000000000 -81528057718019594348191327/200000000000000000000000000 -5675376561738153678322617/12500000000000000000000000 87634064644433543755631769/100000000000000000000000000 -52788815171855807227882791/250000000000000000000000000 81528058161859229085108983/200000000000000000000000000 -193349560729294732831187201/1000000000000000000000000000
96674780774735701236487009/500000000000000000000000000 203820144849264489320794331/500000000000000000000000000 -52788815171855807227882791/250000000000000000000000000 -52788815171855807227882791/250000000000000000000000000 87634064636140797434492757/100000000000000000000000000 203820144849264489320794331/500000000000000000000000000 96674780774735701236487009/500000000000000000000000000
403891283095497984062110439/1000000000000000000000000000 143033219092185513/250000000000000000000000000 -81528057718019594348191327/200000000000000000000000000 81528058161859229085108983/200000000000000000000000000 203820144849264489320794331/500000000000000000000000000 238949402601981655251812331/125000000000000000000000000 100895017720100761/200000000000000000000000000
401038612448925313/500000000000000000000000000 403891283095497984062110439/1000000000000000000000000000 193349561739058159684445419/1000000000000000000000000000 -193349560729294732831187201/1000000000000000000000000000 96674780774735701236487009/500000000000000000000000000 100895017720100761/200000000000000000000000000 24084611271443295641501701/50000000000000000000000000


--- 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 :
2240941879631783042956529493/1000000000000000000000000000 377276487152724458860889793/1000000000000000000000000000 -6518049019605871167587/40000000000000000000000000 489027764628833198561021687/1000000000000000000000000000 -279983777725765106545194879/125000000000000000000000000 -180604431760782954841991871/100000000000000000000000000 1808103204638942326953374151/1000000000000000000000000000 34901625299391551941644651/50000000000000000000000000 -489146035813729177771805061/1000000000000000000000000000 -227627609690085310743401/1000000000000000000000000000 -170571971942889688325726049/500000000000000000000000000 -700766962345324378999211481/1000000000000000000000000000
377276487152724458860889793/1000000000000000000000000000 1124355748591141610440794857/1000000000000000000000000000 24833648249719712196101/1000000000000000000000000000 240425019226550123759862431/1000000000000000000000000000 -47179976680097590579160951/125000000000000000000000000 -90834166183153928120272609/500000000000000000000000000 181354548468076454723929747/1000000000000000000000000000 2375403391430521584573283/62500000000000000000000000 -240406993631459184861893673/1000000000000000000000000000 34690256556287040636479/1000000000000000000000000000 -244276025491275867422973069/500000000000000000000000000 -37589709578802967287877869/1000000000000000000000000000
-6518049019605871167587/40000000000000000000000000 24833648249719712196101/1000000000000000000000000000 9910794908186454524737/200000000000000000000000000 17983361634272514014819/1000000000000000000000000000 -40736893426341255887377/250000000000000000000000000 -6261169786756663997593/20000000000000000000000000 -313062257675197887088347/1000000000000000000000000000 20789143215417222414217/50000000000000000000000000 719366588554464324893/40000000000000000000000000 69222260495061015694791/1000000000000000000000000000 -42194905646019231426081/500000000000000000000000000 415784239404538010375589/1000000000000000000000000000
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-700766962345324378999211481/1000000000000000000000000000 -37589709578802967287877869/1000000000000000000000000000 415784239404538010375589/1000000000000000000000000000 1420322219380319127547738351/1000000000000000000000000000 349016252096085056713855403/500000000000000000000000000 195758948946994108477954657/125000000000000000000000000 -1571325069929604600251309979/1000000000000000000000000000 -94811551468699422237450789/100000000000000000000000000 -1420020431812104026812946107/1000000000000000000000000000 580811253878902091754477/1000000000000000000000000000 10435240389067628154828371/125000000000000000000000000 955092792231037588951962911/1000000000000000000000000000


--- Term 15 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 8
Matrix dimension   : 4

Flags :
F1 : {1, 2, 3, 5}
F2 : {1, 2, 3, 4, 5}
F3 : {1, 2, 3, 6}
F4 : {1, 2, 3, 4, 6}
F5 : {1, 2, 3, 5, 7}
F6 : {1, 2, 3, 4, 5, 7}
F7 : {1, 2, 3, 6, 7}
F8 : {1, 2, 3, 4, 6, 7}

Basis :
B1 : (F3)-(F1)
B2 : (F4)-(F2)
B3 : (F7)-(F5)
B4 : (F8)-(F6)

Matrix :
34960428582468369380829449/62500000000000000000000000 -2953896637520210235839977/15625000000000000000000000 -2953896637520210235839977/15625000000000000000000000 -3429376513627835568857133/3125000000000000000000000
-2953896637520210235839977/15625000000000000000000000 1029964009837589243717384353/200000000000000000000000000 -5022033894445016657773906213/1000000000000000000000000000 289756852622680805204109/781250000000000000000000
-2953896637520210235839977/15625000000000000000000000 -5022033894445016657773906213/1000000000000000000000000000 1029964009837589243717384353/200000000000000000000000000 289756852622680805204109/781250000000000000000000
-3429376513627835568857133/3125000000000000000000000 289756852622680805204109/781250000000000000000000 289756852622680805204109/781250000000000000000000 336398143531907851681761/156250000000000000000000


--- 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 :
9582632729619051773692909/25000000000000000000000000 2670092415632971281429489/25000000000000000000000000 -10621328745341473059497419/125000000000000000000000000 -4921732783405776922530597/15625000000000000000000000 1150782232504012044530019/31250000000000000000000000 58246990334441879166003233/250000000000000000000000000
2670092415632971281429489/25000000000000000000000000 1487982208894306220990901/50000000000000000000000000 -11838053332122017518984533/500000000000000000000000000 -43884328651769485469190867/500000000000000000000000000 5130439615504359397264887/500000000000000000000000000 8114933104173292555904367/125000000000000000000000000
-10621328745341473059497419/125000000000000000000000000 -11838053332122017518984533/500000000000000000000000000 74479798879964091078753919/1000000000000000000000000000 69826778799555222264399069/1000000000000000000000000000 -1632665162686904350894677/200000000000000000000000000 -25824236416942853558716253/500000000000000000000000000
-4921732783405776922530597/15625000000000000000000000 -43884328651769485469190867/500000000000000000000000000 69826778799555222264399069/1000000000000000000000000000 258851791332581894670148863/1000000000000000000000000000 -30261907282097572216089507/1000000000000000000000000000 -95731894965408253121842461/500000000000000000000000000
1150782232504012044530019/31250000000000000000000000 5130439615504359397264887/500000000000000000000000000 -1632665162686904350894677/200000000000000000000000000 -30261907282097572216089507/1000000000000000000000000000 3537866311976337804573111/1000000000000000000000000000 11191847328807866497052049/500000000000000000000000000
58246990334441879166003233/250000000000000000000000000 8114933104173292555904367/125000000000000000000000000 -25824236416942853558716253/500000000000000000000000000 -95731894965408253121842461/500000000000000000000000000 11191847328807866497052049/500000000000000000000000000 70809598546629046262894159/500000000000000000000000000


--- Term 17 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 14
Matrix dimension   : 10

Flags :
F1  : {0, 1, 2, 3, 4}
F2  : {0, 1, 2, 3, 5}
F3  : {0, 1, 2, 3, 4, 5}
F4  : {0, 1, 2, 3, 6}
F5  : {0, 1, 2, 3, 4, 6}
F6  : {0, 1, 2, 3, 5, 6}
F7  : {0, 1, 2, 3, 4, 5, 6}
F8  : {0, 1, 2, 3, 7}
F9  : {0, 1, 2, 3, 4, 7}
F10 : {0, 1, 2, 3, 5, 7}
F11 : {0, 1, 2, 3, 4, 5, 7}
F12 : {0, 1, 2, 3, 6, 7}
F13 : {0, 1, 2, 3, 4, 6, 7}
F14 : {0, 1, 2, 3, 5, 6, 7}

Basis :
B1  : (F2)-(F1)
B2  : (F4)-(F1)
B3  : (F8)-(F1)
B4  : (F5)-(F3)
B5  : (F10)-(F3)
B6  : (F12)-(F3)
B7  : (F9)-(F6)
B8  : (F11)-(F7)
B9  : (F13)-(F7)
B10 : (F14)-(F7)

Matrix :
477898805443341256700154041/500000000000000000000000000 -477898805443341256700154041/500000000000000000000000000 34679614242309923/500000000000000000000000000 -17933670786724403571324101/100000000000000000000000000 179336708439258060046259371/1000000000000000000000000000 -89668353640285424681607041/500000000000000000000000000 0/1 100972820839276492749487559/500000000000000000000000000 -100972820839276492749487559/500000000000000000000000000 -62705988976954161/100000000000000000000000000
-477898805443341256700154041/500000000000000000000000000 477898805443341256700154041/500000000000000000000000000 -34679614242309923/500000000000000000000000000 17933670786724403571324101/100000000000000000000000000 -179336708439258060046259371/1000000000000000000000000000 89668353640285424681607041/500000000000000000000000000 0/1 -100972820839276492749487559/500000000000000000000000000 100972820839276492749487559/500000000000000000000000000 62705988976954161/100000000000000000000000000
34679614242309923/500000000000000000000000000 -34679614242309923/500000000000000000000000000 95579761032619565127057501/100000000000000000000000000 -17933670762450551390448007/100000000000000000000000000 179336707423642762124914101/1000000000000000000000000000 89668354205054786748646523/500000000000000000000000000 0/1 -128266418703745607/500000000000000000000000000 128266418703745607/500000000000000000000000000 100972820690181461460120521/500000000000000000000000000
-17933670786724403571324101/100000000000000000000000000 17933670786724403571324101/100000000000000000000000000 -17933670762450551390448007/100000000000000000000000000 266481049231452689805792301/500000000000000000000000000 -289425446276165407120512089/1000000000000000000000000000 -7610520432969224330176829/62500000000000000000000000 0/1 -36846402281445726998324677/500000000000000000000000000 36846402281445726998324677/500000000000000000000000000 -36846402179671593150560747/500000000000000000000000000
179336708439258060046259371/1000000000000000000000000000 -179336708439258060046259371/1000000000000000000000000000 179336707423642762124914101/1000000000000000000000000000 -289425446276165407120512089/1000000000000000000000000000 532962099802680734722674479/1000000000000000000000000000 -121768326450991205531850961/1000000000000000000000000000 0/1 73692804387657685577055477/1000000000000000000000000000 -73692804387657685577055477/1000000000000000000000000000 73692804177725788859176999/1000000000000000000000000000
-89668353640285424681607041/500000000000000000000000000 89668353640285424681607041/500000000000000000000000000 89668354205054786748646523/500000000000000000000000000 -7610520432969224330176829/62500000000000000000000000 -121768326450991205531850961/1000000000000000000000000000 106592419838410433355319369/200000000000000000000000000 0/1 -36846402032075891031231101/500000000000000000000000000 36846402032075891031231101/500000000000000000000000000 9211600591663035566363741/125000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
100972820839276492749487559/500000000000000000000000000 -100972820839276492749487559/500000000000000000000000000 -128266418703745607/500000000000000000000000000 -36846402281445726998324677/500000000000000000000000000 73692804387657685577055477/1000000000000000000000000000 -36846402032075891031231101/500000000000000000000000000 0/1 120423056361717628616249329/500000000000000000000000000 -120423056361717628616249329/500000000000000000000000000 -5607232587901657/100000000000000000000000000
-100972820839276492749487559/500000000000000000000000000 100972820839276492749487559/500000000000000000000000000 128266418703745607/500000000000000000000000000 36846402281445726998324677/500000000000000000000000000 -73692804387657685577055477/1000000000000000000000000000 36846402032075891031231101/500000000000000000000000000 0/1 -120423056361717628616249329/500000000000000000000000000 120423056361717628616249329/500000000000000000000000000 5607232587901657/100000000000000000000000000
-62705988976954161/100000000000000000000000000 62705988976954161/100000000000000000000000000 100972820690181461460120521/500000000000000000000000000 -36846402179671593150560747/500000000000000000000000000 73692804177725788859176999/1000000000000000000000000000 9211600591663035566363741/125000000000000000000000000 0/1 -5607232587901657/100000000000000000000000000 5607232587901657/100000000000000000000000000 120423056441481783453259753/500000000000000000000000000


--- 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 :
70809598546629046262894159/500000000000000000000000000 11191847328807866497052049/500000000000000000000000000 -25824236416942853558716253/500000000000000000000000000 -95731894965408253121842461/500000000000000000000000000 8114933104173292555904367/125000000000000000000000000 58246990334441879166003233/250000000000000000000000000
11191847328807866497052049/500000000000000000000000000 3537866311976337804573111/1000000000000000000000000000 -1632665162686904350894677/200000000000000000000000000 -30261907282097572216089507/1000000000000000000000000000 5130439615504359397264887/500000000000000000000000000 1150782232504012044530019/31250000000000000000000000
-25824236416942853558716253/500000000000000000000000000 -1632665162686904350894677/200000000000000000000000000 74479798879964091078753919/1000000000000000000000000000 69826778799555222264399069/1000000000000000000000000000 -11838053332122017518984533/500000000000000000000000000 -10621328745341473059497419/125000000000000000000000000
-95731894965408253121842461/500000000000000000000000000 -30261907282097572216089507/1000000000000000000000000000 69826778799555222264399069/1000000000000000000000000000 258851791332581894670148863/1000000000000000000000000000 -43884328651769485469190867/500000000000000000000000000 -4921732783405776922530597/15625000000000000000000000
8114933104173292555904367/125000000000000000000000000 5130439615504359397264887/500000000000000000000000000 -11838053332122017518984533/500000000000000000000000000 -43884328651769485469190867/500000000000000000000000000 1487982208894306220990901/50000000000000000000000000 2670092415632971281429489/25000000000000000000000000
58246990334441879166003233/250000000000000000000000000 1150782232504012044530019/31250000000000000000000000 -10621328745341473059497419/125000000000000000000000000 -4921732783405776922530597/15625000000000000000000000 2670092415632971281429489/25000000000000000000000000 9582632729619051773692909/25000000000000000000000000


--- 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 :
120423056361717628616249329/500000000000000000000000000 -120423056361717628616249329/500000000000000000000000000 -5607232587901657/100000000000000000000000000 -36846402281445726998324677/500000000000000000000000000 73692804387657685577055477/1000000000000000000000000000 -36846402032075891031231101/500000000000000000000000000 0/1 100972820839276492749487559/500000000000000000000000000 -100972820839276492749487559/500000000000000000000000000 -128266418703745607/500000000000000000000000000
-120423056361717628616249329/500000000000000000000000000 120423056361717628616249329/500000000000000000000000000 5607232587901657/100000000000000000000000000 36846402281445726998324677/500000000000000000000000000 -73692804387657685577055477/1000000000000000000000000000 36846402032075891031231101/500000000000000000000000000 0/1 -100972820839276492749487559/500000000000000000000000000 100972820839276492749487559/500000000000000000000000000 128266418703745607/500000000000000000000000000
-5607232587901657/100000000000000000000000000 5607232587901657/100000000000000000000000000 120423056441481783453259753/500000000000000000000000000 -36846402179671593150560747/500000000000000000000000000 73692804177725788859176999/1000000000000000000000000000 9211600591663035566363741/125000000000000000000000000 0/1 -62705988976954161/100000000000000000000000000 62705988976954161/100000000000000000000000000 100972820690181461460120521/500000000000000000000000000
-36846402281445726998324677/500000000000000000000000000 36846402281445726998324677/500000000000000000000000000 -36846402179671593150560747/500000000000000000000000000 266481049231452689805792301/500000000000000000000000000 -289425446276165407120512089/1000000000000000000000000000 -7610520432969224330176829/62500000000000000000000000 0/1 -17933670786724403571324101/100000000000000000000000000 17933670786724403571324101/100000000000000000000000000 -17933670762450551390448007/100000000000000000000000000
73692804387657685577055477/1000000000000000000000000000 -73692804387657685577055477/1000000000000000000000000000 73692804177725788859176999/1000000000000000000000000000 -289425446276165407120512089/1000000000000000000000000000 532962099802680734722674479/1000000000000000000000000000 -121768326450991205531850961/1000000000000000000000000000 0/1 179336708439258060046259371/1000000000000000000000000000 -179336708439258060046259371/1000000000000000000000000000 179336707423642762124914101/1000000000000000000000000000
-36846402032075891031231101/500000000000000000000000000 36846402032075891031231101/500000000000000000000000000 9211600591663035566363741/125000000000000000000000000 -7610520432969224330176829/62500000000000000000000000 -121768326450991205531850961/1000000000000000000000000000 106592419838410433355319369/200000000000000000000000000 0/1 -89668353640285424681607041/500000000000000000000000000 89668353640285424681607041/500000000000000000000000000 89668354205054786748646523/500000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
100972820839276492749487559/500000000000000000000000000 -100972820839276492749487559/500000000000000000000000000 -62705988976954161/100000000000000000000000000 -17933670786724403571324101/100000000000000000000000000 179336708439258060046259371/1000000000000000000000000000 -89668353640285424681607041/500000000000000000000000000 0/1 477898805443341256700154041/500000000000000000000000000 -477898805443341256700154041/500000000000000000000000000 34679614242309923/500000000000000000000000000
-100972820839276492749487559/500000000000000000000000000 100972820839276492749487559/500000000000000000000000000 62705988976954161/100000000000000000000000000 17933670786724403571324101/100000000000000000000000000 -179336708439258060046259371/1000000000000000000000000000 89668353640285424681607041/500000000000000000000000000 0/1 -477898805443341256700154041/500000000000000000000000000 477898805443341256700154041/500000000000000000000000000 -34679614242309923/500000000000000000000000000
-128266418703745607/500000000000000000000000000 128266418703745607/500000000000000000000000000 100972820690181461460120521/500000000000000000000000000 -17933670762450551390448007/100000000000000000000000000 179336707423642762124914101/1000000000000000000000000000 89668354205054786748646523/500000000000000000000000000 0/1 34679614242309923/500000000000000000000000000 -34679614242309923/500000000000000000000000000 95579761032619565127057501/100000000000000000000000000

