#Density : 24345642442544829911305467143/96000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 9, 10, 11, 12, 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 :
57090605248784061909725189/250000000000000000000000000 24588933551054396169953361/250000000000000000000000000 -986116245480986164616017/7812500000000000000000000 11316072759717298000300953/500000000000000000000000000 -8066334022734266289501209/250000000000000000000000000 -72282103378393669619649679/500000000000000000000000000
24588933551054396169953361/250000000000000000000000000 416441527382594087232423309/250000000000000000000000000 -20778050692018153441679067/31250000000000000000000000 406800739160401043091125757/500000000000000000000000000 -450803821552923720432754521/250000000000000000000000000 163141864723036198720580349/500000000000000000000000000
-986116245480986164616017/7812500000000000000000000 -20778050692018153441679067/31250000000000000000000000 37422245854141923033165797/125000000000000000000000000 -78706140945844806201830839/250000000000000000000000000 172691215210345670727206659/250000000000000000000000000 -8277595061339490510465549/125000000000000000000000000
11316072759717298000300953/500000000000000000000000000 406800739160401043091125757/500000000000000000000000000 -78706140945844806201830839/250000000000000000000000000 400283669845195097692925111/1000000000000000000000000000 -222301639126040986115171479/250000000000000000000000000 178068132487902656116516177/1000000000000000000000000000
-8066334022734266289501209/250000000000000000000000000 -450803821552923720432754521/250000000000000000000000000 172691215210345670727206659/250000000000000000000000000 -222301639126040986115171479/250000000000000000000000000 988374191625847950869172623/500000000000000000000000000 -203916105793310997547473531/500000000000000000000000000
-72282103378393669619649679/500000000000000000000000000 163141864723036198720580349/500000000000000000000000000 -8277595061339490510465549/125000000000000000000000000 178068132487902656116516177/1000000000000000000000000000 -203916105793310997547473531/500000000000000000000000000 184511422281641992773256789/1000000000000000000000000000


--- 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 :
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 0/1 0/1 0/1


--- 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 :
661573666498445657335597379/500000000000000000000000000 570318232145113982939390257/500000000000000000000000000 118753073246325488028677651/100000000000000000000000000 443915779743929478768390377/1000000000000000000000000000 -608832502052951973654966931/1000000000000000000000000000 -540913762835880591307518291/200000000000000000000000000 -43660174130796234933428881/200000000000000000000000000 138204704726943411619475367/250000000000000000000000000 -55727790309283697032255227/62500000000000000000000000 -478587889389631924113823021/1000000000000000000000000000 -1059612565581419429035570449/1000000000000000000000000000 469456962141457069268876401/250000000000000000000000000
570318232145113982939390257/500000000000000000000000000 986689333746290585252334371/1000000000000000000000000000 1040467057028040550291089241/1000000000000000000000000000 80987320717898593198557657/250000000000000000000000000 -33046738770387489033630623/62500000000000000000000000 -2399493747140454561159461859/1000000000000000000000000000 -7825789701027760745650201/40000000000000000000000000 234664199735094266923381291/500000000000000000000000000 -389490185910310867120393289/500000000000000000000000000 -79056184368638896492242041/200000000000000000000000000 -803259635801553009579678469/1000000000000000000000000000 332558546114492382202377121/200000000000000000000000000
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469456962141457069268876401/250000000000000000000000000 332558546114492382202377121/200000000000000000000000000 385560761828272500578312959/200000000000000000000000000 -179445733173855006532008133/1000000000000000000000000000 -890711247864519528102169237/1000000000000000000000000000 -599856515836760303435481297/125000000000000000000000000 -107658797257833966013507979/250000000000000000000000000 68678348533860913746200829/100000000000000000000000000 -29242290067835711945010063/20000000000000000000000000 -24568017923963494693128733/62500000000000000000000000 8116823977159958629925001/250000000000000000000000000 3284172754345297276042457521/1000000000000000000000000000


--- 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 :
581464910319898586860098141/500000000000000000000000000 240189387613617111445698519/500000000000000000000000000 71602340088039107621643627/500000000000000000000000000 -29657694532136971104789297/500000000000000000000000000
240189387613617111445698519/500000000000000000000000000 828375821373043803671729817/500000000000000000000000000 135190551631614446249687073/500000000000000000000000000 50073382599149860451211867/125000000000000000000000000
71602340088039107621643627/500000000000000000000000000 135190551631614446249687073/500000000000000000000000000 24114511871789343660712269/500000000000000000000000000 27133398892310387816637021/500000000000000000000000000
-29657694532136971104789297/500000000000000000000000000 50073382599149860451211867/125000000000000000000000000 27133398892310387816637021/500000000000000000000000000 388066189128000240143244669/200000000000000000000000000


--- Term 10 ---

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

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

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

Matrix :
1187343997080840956805464493/250000000000000000000000000 3506631282353283506898153303/1000000000000000000000000000 401765364572687072631797981/125000000000000000000000000 1625595894507427516257480339/1000000000000000000000000000 196872432777530512243428251/250000000000000000000000000 -718156312839204624825146419/250000000000000000000000000 -39425514068695734309250411/7812500000000000000000000 -84398400226228045224335281/100000000000000000000000000 -2957735218198325113643761219/1000000000000000000000000000 -1677771383302575135768471427/500000000000000000000000000
3506631282353283506898153303/1000000000000000000000000000 808910173737724113370021321/200000000000000000000000000 111597618007680585124025433/25000000000000000000000000 -67252292968822869666749163/62500000000000000000000000 63934535195667287629528309/125000000000000000000000000 -1629245224317358219390985503/1000000000000000000000000000 -1106497309137772776803650841/250000000000000000000000000 -1757246912350025532047490259/1000000000000000000000000000 -2286614626274562650561727027/1000000000000000000000000000 -467904398858190167041987909/125000000000000000000000000
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--- 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 :
196640586296219441428044453/1000000000000000000000000000 613987796321773723973507241/500000000000000000000000000 -17715044935743187112529579/200000000000000000000000000 -546863276240380455777876189/500000000000000000000000000 -505596092318476693649397123/1000000000000000000000000000 282213579574418245467874209/1000000000000000000000000000
613987796321773723973507241/500000000000000000000000000 393798723775305526272469377/50000000000000000000000000 -448360083996915522323427063/500000000000000000000000000 -1784678742487574496280168791/250000000000000000000000000 -2037788483829462187062974691/500000000000000000000000000 581382235630169146089353193/500000000000000000000000000
-17715044935743187112529579/200000000000000000000000000 -448360083996915522323427063/500000000000000000000000000 2000303998796372202748091313/1000000000000000000000000000 250902179354348562691097499/250000000000000000000000000 13982951378321983465626039/8000000000000000000000000 173098165437688659496924077/200000000000000000000000000
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-505596092318476693649397123/1000000000000000000000000000 -2037788483829462187062974691/500000000000000000000000000 13982951378321983465626039/8000000000000000000000000 1044418081220442326245040931/250000000000000000000000000 5362536969599023287455358807/1000000000000000000000000000 1927152233030031489288396879/1000000000000000000000000000
282213579574418245467874209/1000000000000000000000000000 581382235630169146089353193/500000000000000000000000000 173098165437688659496924077/200000000000000000000000000 -42377128624961472307602477/62500000000000000000000000 1927152233030031489288396879/1000000000000000000000000000 2137230648823064260073076513/1000000000000000000000000000


--- 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 :
2021572365509743944379553/40000000000000000000000000 -51804445398446015474189037/200000000000000000000000000 -22162511389262989327113/1000000000000000000000000 62225826217326082158391787/200000000000000000000000000 367759416613116426821867/2500000000000000000000000 5619624236438587209937903/100000000000000000000000000 -20497049849363738378340171/200000000000000000000000000 13198831754127129928643629/100000000000000000000000000 2942871074716372290951531/200000000000000000000000000
-51804445398446015474189037/200000000000000000000000000 1327531286451807780187760073/1000000000000000000000000000 567932482035097632308277/5000000000000000000000000 -1594587694037768549188139823/1000000000000000000000000000 -9424135857186915112132143/12500000000000000000000000 -144007467594641232600281187/500000000000000000000000000 525253667821505382932338959/1000000000000000000000000000 -338230859599994192767391241/500000000000000000000000000 -75413478392285446969908399/1000000000000000000000000000
-22162511389262989327113/1000000000000000000000000 567932482035097632308277/5000000000000000000000000 242967760867348605873/25000000000000000000000 -682182149784210466941027/5000000000000000000000000 -4031748948616907812707/62500000000000000000000 -61607978160130926227463/2500000000000000000000000 224709294845485726289091/5000000000000000000000000 -144698880963407480270709/2500000000000000000000000 -32262715311746206407651/5000000000000000000000000
62225826217326082158391787/200000000000000000000000000 -1594587694037768549188139823/1000000000000000000000000000 -682182149784210466941027/5000000000000000000000000 1915367223301214424342082073/1000000000000000000000000000 11319967535360882508314393/12500000000000000000000000 172977117767004728332346437/500000000000000000000000000 -630917736933335670526033209/1000000000000000000000000000 406271981659654949126346991/500000000000000000000000000 90584233935707692456682649/1000000000000000000000000000
367759416613116426821867/2500000000000000000000000 -9424135857186915112132143/12500000000000000000000000 -4031748948616907812707/62500000000000000000000 11319967535360882508314393/12500000000000000000000000 66901878367098131135513/156250000000000000000000 1022308063781070404232517/6250000000000000000000000 -3728772327668445966131769/12500000000000000000000000 2401098644147979319016431/6250000000000000000000000 535359786307927506790809/12500000000000000000000000
5619624236438587209937903/100000000000000000000000000 -144007467594641232600281187/500000000000000000000000000 -61607978160130926227463/2500000000000000000000000 172977117767004728332346437/500000000000000000000000000 1022308063781070404232517/6250000000000000000000000 15621590944534386202778753/250000000000000000000000000 -56978280903602490442683621/500000000000000000000000000 36690487109752955860710179/250000000000000000000000000 8180676535920171149046981/500000000000000000000000000
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13198831754127129928643629/100000000000000000000000000 -338230859599994192767391241/500000000000000000000000000 -144698880963407480270709/2500000000000000000000000 406271981659654949126346991/500000000000000000000000000 2401098644147979319016431/6250000000000000000000000 36690487109752955860710179/250000000000000000000000000 -133825094284711536344772303/500000000000000000000000000 86175079678548843128641097/250000000000000000000000000 19213984545873269225052783/500000000000000000000000000
2942871074716372290951531/200000000000000000000000000 -75413478392285446969908399/1000000000000000000000000000 -32262715311746206407651/5000000000000000000000000 90584233935707692456682649/1000000000000000000000000000 535359786307927506790809/12500000000000000000000000 8180676535920171149046981/500000000000000000000000000 -29838246776539337948069817/1000000000000000000000000000 19213984545873269225052783/500000000000000000000000000 4284036678656583391008537/1000000000000000000000000000


--- 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 :
874939933757668948656423963/1000000000000000000000000000 17500500352093629/62500000000000000000000000 196257764158902184153928097/250000000000000000000000000 -196257764158902184153928097/250000000000000000000000000 -6280248463099073132525973/8000000000000000000000000 8524726930491363961970367/250000000000000000000000000 369188268528339/100000000000000000000000000
17500500352093629/62500000000000000000000000 151413156346118920079896563/250000000000000000000000000 22548801779676326701876017/500000000000000000000000000 -22548801779676326701876017/500000000000000000000000000 4509760501035538508458179/100000000000000000000000000 41698195873444227/500000000000000000000000000 20292289563180973632513219/25000000000000000000000000
196257764158902184153928097/250000000000000000000000000 22548801779676326701876017/500000000000000000000000000 707719241138264273521000203/1000000000000000000000000000 -707719241138264273521000203/1000000000000000000000000000 -140200640294374900852691859/200000000000000000000000000 30594902039562178267641393/1000000000000000000000000000 3021975259838169221073591/50000000000000000000000000
-196257764158902184153928097/250000000000000000000000000 -22548801779676326701876017/500000000000000000000000000 -707719241138264273521000203/1000000000000000000000000000 707719241138264273521000203/1000000000000000000000000000 140200640294374900852691859/200000000000000000000000000 -30594902039562178267641393/1000000000000000000000000000 -3021975259838169221073591/50000000000000000000000000
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8524726930491363961970367/250000000000000000000000000 41698195873444227/500000000000000000000000000 30594902039562178267641393/1000000000000000000000000000 -30594902039562178267641393/1000000000000000000000000000 -244759216620424006863297/8000000000000000000000000 1328931807738423382211523/1000000000000000000000000000 4864301237891277/50000000000000000000000000
369188268528339/100000000000000000000000000 20292289563180973632513219/25000000000000000000000000 3021975259838169221073591/50000000000000000000000000 -3021975259838169221073591/50000000000000000000000000 6043950780816771985209021/100000000000000000000000000 4864301237891277/50000000000000000000000000 54391180482981629047505043/50000000000000000000000000


--- 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 :
939263544547917658782700021/100000000000000000000000000 623272505018700319064649177/62500000000000000000000000 -385020899301928030945236269/125000000000000000000000000 974946571088281239005012961/1000000000000000000000000000 3922334791964404497638052113/500000000000000000000000000 -306390621562112360168875217/250000000000000000000000000 -2249974372875850928718728447/500000000000000000000000000 -2547618377473565765795285941/500000000000000000000000000 -1276516298172293479240881463/500000000000000000000000000 678424771318355177553032899/1000000000000000000000000000 329575163657640338253152701/1000000000000000000000000000 433577672529357366053003329/250000000000000000000000000
623272505018700319064649177/62500000000000000000000000 665077607510521499771997003/62500000000000000000000000 -400315137698491143477695199/125000000000000000000000000 520078624126194613952271483/500000000000000000000000000 2185509700835893515663304461/250000000000000000000000000 -160434596803183479822394131/125000000000000000000000000 -1166970850059913813601805621/250000000000000000000000000 -681507084714870338828022927/125000000000000000000000000 -131599917191553780831924093/50000000000000000000000000 252669767505845508346490877/500000000000000000000000000 165097144463735440713108483/500000000000000000000000000 418447971832106488000829283/250000000000000000000000000
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433577672529357366053003329/250000000000000000000000000 418447971832106488000829283/250000000000000000000000000 -195362951332589940389189951/250000000000000000000000000 164210842084474442890096733/1000000000000000000000000000 37841635062345377153130663/250000000000000000000000000 -70487827709075264202398277/250000000000000000000000000 -146951968832193407522979677/125000000000000000000000000 -100988627487651745110804429/125000000000000000000000000 -359094397811143352079844867/500000000000000000000000000 800087870022688807986297669/1000000000000000000000000000 122770028856974842391430493/1000000000000000000000000000 423131345592083373462574249/500000000000000000000000000


--- 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 :
6971127920804019245028838761/1000000000000000000000000000 9849093082643066900365692047/1000000000000000000000000000 12396903362015184787088323/50000000000000000000000000 156306853444176255042042089/125000000000000000000000000
9849093082643066900365692047/1000000000000000000000000000 3769541000252889042108986181/200000000000000000000000000 -61222182439724217334983411/250000000000000000000000000 3770774336173362218960319/31250000000000000000000000
12396903362015184787088323/50000000000000000000000000 -61222182439724217334983411/250000000000000000000000000 13987712705242184192189211/62500000000000000000000000 86915207084427528349265883/125000000000000000000000000
156306853444176255042042089/125000000000000000000000000 3770774336173362218960319/31250000000000000000000000 86915207084427528349265883/125000000000000000000000000 55051889865471776078018001/25000000000000000000000000


--- 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 :
4630133493602311953382803/50000000000000000000000000 -737077502918674842811929/50000000000000000000000000 15805568176100530066071/10000000000000000000000000 -35942340482248406612217/2000000000000000000000000 -125144130288142958618157/20000000000000000000000000 -999830252466436731748443/12500000000000000000000000
-737077502918674842811929/50000000000000000000000000 117336410723256872343147/50000000000000000000000000 -2516110764311297810853/10000000000000000000000000 5721712043143936049931/2000000000000000000000000 19921871191223240877351/20000000000000000000000000 159164392743490777966449/12500000000000000000000000
15805568176100530066071/10000000000000000000000000 -2516110764311297810853/10000000000000000000000000 53954380735360035147/2000000000000000000000000 -122693895043361592069/400000000000000000000000 -427195908247811204649/4000000000000000000000000 -3413051749311701551551/2500000000000000000000000
-35942340482248406612217/2000000000000000000000000 5721712043143936049931/2000000000000000000000000 -122693895043361592069/400000000000000000000000 279009631391165979563/80000000000000000000000 971456426987767153223/800000000000000000000000 7761382994303719524177/500000000000000000000000
-125144130288142958618157/20000000000000000000000000 19921871191223240877351/20000000000000000000000000 -427195908247811204649/4000000000000000000000000 971456426987767153223/800000000000000000000000 3382419398320882968083/8000000000000000000000000 27023602570762852777317/5000000000000000000000000
-999830252466436731748443/12500000000000000000000000 159164392743490777966449/12500000000000000000000000 -3413051749311701551551/2500000000000000000000000 7761382994303719524177/500000000000000000000000 27023602570762852777317/5000000000000000000000000 215903177549498257997283/3125000000000000000000000


--- 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 :
7281189968782984268524087/250000000000000000000000000 -7281189968782984268524087/250000000000000000000000000 7465979106786609/500000000000000000000000000 -7093646708595492740713253/125000000000000000000000000 14187292593206571145480197/250000000000000000000000000 -28374584997817291960337067/500000000000000000000000000 0/1 -7306944254054788410682787/62500000000000000000000000 7306944254054788410682787/62500000000000000000000000 -36686236279994703/100000000000000000000000000
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--- Term 18 ---

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

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

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

Matrix :
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--- Term 19 ---

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

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

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

Matrix :
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