#Density : 6840625363811875264220955371/48000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 7, 8, 9, 10, 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 :
12412859514038001610853599/31250000000000000000000000 -3472439444112437253003679/15625000000000000000000000 41402562195261500898741817/125000000000000000000000000 -3658853015597262533761893/6250000000000000000000000 58691149887590881647724231/125000000000000000000000000 -10909302745672767818096143/62500000000000000000000000
-3472439444112437253003679/15625000000000000000000000 971398707879630444107359/7812500000000000000000000 -11582173301128067107950457/62500000000000000000000000 1023547033397189271276453/3125000000000000000000000 -16418574918978325185807751/62500000000000000000000000 3051826464240305507370703/31250000000000000000000000
41402562195261500898741817/125000000000000000000000000 -11582173301128067107950457/62500000000000000000000000 138096476029064719497088111/500000000000000000000000000 -12203947798673361413718819/25000000000000000000000000 195761821100471794160445073/500000000000000000000000000 -36387512879191604864786569/250000000000000000000000000
-3658853015597262533761893/6250000000000000000000000 1023547033397189271276453/3125000000000000000000000 -12203947798673361413718819/25000000000000000000000000 1078494876591914139950151/1250000000000000000000000 -17299985592540188477821917/25000000000000000000000000 3215659953609147265814901/12500000000000000000000000
58691149887590881647724231/125000000000000000000000000 -16418574918978325185807751/62500000000000000000000000 195761821100471794160445073/500000000000000000000000000 -17299985592540188477821917/25000000000000000000000000 277506651165432134585149039/500000000000000000000000000 -51581951917789743719810167/250000000000000000000000000
-10909302745672767818096143/62500000000000000000000000 3051826464240305507370703/31250000000000000000000000 -36387512879191604864786569/250000000000000000000000000 3215659953609147265814901/12500000000000000000000000 -51581951917789743719810167/250000000000000000000000000 9587870245542443518617151/125000000000000000000000000


--- 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 :
21008412846172659644935281/250000000000000000000000000 -1042589479538317969007643/125000000000000000000000000 -26492029904713875668903223/500000000000000000000000000 -12300617439509257943441397/500000000000000000000000000 -13622386629574042468627833/500000000000000000000000000 24426407958630689221213653/500000000000000000000000000
-1042589479538317969007643/125000000000000000000000000 51740835007534161668329/62500000000000000000000000 1314726241935077918679069/250000000000000000000000000 610445654708004176590791/250000000000000000000000000 676041407325293637910899/250000000000000000000000000 -1212215132435335687264359/250000000000000000000000000
-26492029904713875668903223/500000000000000000000000000 1314726241935077918679069/250000000000000000000000000 33406980984768402759994209/1000000000000000000000000000 15511325269547499643207251/1000000000000000000000000000 17178102725165953696105839/1000000000000000000000000000 -30802190286482098430806899/1000000000000000000000000000
-12300617439509257943441397/500000000000000000000000000 610445654708004176590791/250000000000000000000000000 15511325269547499643207251/1000000000000000000000000000 7202123763515256314263689/1000000000000000000000000000 7976031686468080642177821/1000000000000000000000000000 -14301884769712080815773161/1000000000000000000000000000
-13622386629574042468627833/500000000000000000000000000 676041407325293637910899/250000000000000000000000000 17178102725165953696105839/1000000000000000000000000000 7976031686468080642177821/1000000000000000000000000000 8833100284365599837221569/1000000000000000000000000000 -15838701172744317126776829/1000000000000000000000000000
24426407958630689221213653/500000000000000000000000000 -1212215132435335687264359/250000000000000000000000000 -30802190286482098430806899/1000000000000000000000000000 -14301884769712080815773161/1000000000000000000000000000 -15838701172744317126776829/1000000000000000000000000000 28400498892050050782492489/1000000000000000000000000000


--- Term 3 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 4

Flags :
F1 : {1}
F2 : {1, 2}
F3 : {1, 3}
F4 : {1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)

Matrix :
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1
0/1 0/1 0/1 0/1


--- Term 4 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

Flags :
F1 : {0, 1}
F2 : {0, 1, 2}
F3 : {0, 1, 3}
F4 : {0, 1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)

Matrix :
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 0/1


--- Term 5 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 2
Matrix dimension   : 1

Flags :
F1 : {0, 1, 2}
F2 : {0, 1, 3}

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 6 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 4
Matrix dimension   : 3

Flags :
F1 : {}
F2 : {2}
F3 : {3}
F4 : {2, 3}

Basis :
B1 : (F1)
B2 : (F2)+(F3)
B3 : (F4)

Matrix :
0/1 0/1 0/1
0/1 0/1 0/1
0/1 0/1 0/1


--- Term 7 ---

Dimension of type  : 1
Dimension of flags : 2
Number of flags    : 2
Matrix dimension   : 1

Flags :
F1 : {2}
F2 : {3}

Basis :
B1 : (F2)-(F1)

Matrix :
0/1


--- Term 8 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 12

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

Basis :
B1  : (F1)
B2  : (F2)
B3  : (F3)+(F5)
B4  : (F4)+(F6)
B5  : (F7)
B6  : (F8)
B7  : (F9)
B8  : (F10)
B9  : (F11)+(F13)
B10 : (F12)+(F14)
B11 : (F15)
B12 : (F16)

Matrix :
910098223089107083551797857/1000000000000000000000000000 587042805648053628478222143/1000000000000000000000000000 -7208463254297697452710761/12500000000000000000000000 -209730743734845673279763201/500000000000000000000000000 -1265389128516519874120113/3906250000000000000000000 -551846646512716577958523739/200000000000000000000000000 46275363415731119711674351/100000000000000000000000000 146878242187822100377231591/1000000000000000000000000000 1634778343717752785741496417/1000000000000000000000000000 -6570342430228904822158991/62500000000000000000000000 -430212299483075524123498963/1000000000000000000000000000 -44874020627031980042253289/500000000000000000000000000
587042805648053628478222143/1000000000000000000000000000 580246883627794602573227387/1000000000000000000000000000 -11949098116843146232070023/50000000000000000000000000 -158466658168181719218121881/1000000000000000000000000000 -23399813928107874045440409/200000000000000000000000000 -31807026952331057897557589/20000000000000000000000000 154627233313113381025898313/500000000000000000000000000 133281734215290700917935447/1000000000000000000000000000 401976835992904214077548293/500000000000000000000000000 -17805041271808425010434959/250000000000000000000000000 -512575931910237520685206141/1000000000000000000000000000 -17027906424951336930931057/62500000000000000000000000
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-44874020627031980042253289/500000000000000000000000000 -17027906424951336930931057/62500000000000000000000000 -21170641146279632577280947/250000000000000000000000000 -79175310778881174419459809/1000000000000000000000000000 -65924226205060095583808459/1000000000000000000000000000 14092980950987304291480723/200000000000000000000000000 -19995576107703588142433461/250000000000000000000000000 -19731554098068214072840599/250000000000000000000000000 105440146260636217585816067/1000000000000000000000000000 -2675089587622947087409949/250000000000000000000000000 146312779283174340428124863/500000000000000000000000000 174857683232453734665967319/500000000000000000000000000


--- 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 :
48931934702306211619558107/250000000000000000000000000 5340225816016518609732507/125000000000000000000000000 11923748728378412169325121/100000000000000000000000000 -192964834460717114391611081/1000000000000000000000000000
5340225816016518609732507/125000000000000000000000000 97508182809332251570986731/500000000000000000000000000 40665870462612834894757/1562500000000000000000000 -30406192028665613145240537/1000000000000000000000000000
11923748728378412169325121/100000000000000000000000000 40665870462612834894757/1562500000000000000000000 36319783951544049790375971/500000000000000000000000000 -117554323797693319833842999/1000000000000000000000000000
-192964834460717114391611081/1000000000000000000000000000 -30406192028665613145240537/1000000000000000000000000000 -117554323797693319833842999/1000000000000000000000000000 1082500610612150937637309151/1000000000000000000000000000


--- 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 :
524126035291041645679832959/200000000000000000000000000 2037691609125482334826332987/1000000000000000000000000000 399690212481302563076745273/250000000000000000000000000 -19416461262197625052806967/25000000000000000000000000 -44696543150873473636090219/200000000000000000000000000 -136735432730825608300990721/500000000000000000000000000 -2042232137731343830349221663/1000000000000000000000000000 -171660315804172947570756561/500000000000000000000000000 -141818157635428945059032763/250000000000000000000000000 -642416986202658883914401429/1000000000000000000000000000
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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 :
83060021543068543287682929/500000000000000000000000000 -687112649623694896887369/1000000000000000000000000 38431980396580441846234107/500000000000000000000000000 16823429900087770925093799/31250000000000000000000000 22944610858615971193674591/100000000000000000000000000 6258367274311793616028131/50000000000000000000000000
-687112649623694896887369/1000000000000000000000000 6365406359276767651765753299/1000000000000000000000000000 -20227436580222227187254001/62500000000000000000000000 -139447077597781755308780777/31250000000000000000000000 321891924830909391411656927/1000000000000000000000000000 23263902965688487268855723/200000000000000000000000000
38431980396580441846234107/500000000000000000000000000 -20227436580222227187254001/62500000000000000000000000 645696149332537044360974147/1000000000000000000000000000 130947303750019513601811839/500000000000000000000000000 146884393681633304252958533/1000000000000000000000000000 80850743517192850206285053/1000000000000000000000000000
16823429900087770925093799/31250000000000000000000000 -139447077597781755308780777/31250000000000000000000000 130947303750019513601811839/500000000000000000000000000 317761444414863941438175927/100000000000000000000000000 47884277829838252210087/10000000000000000000000000 4291054000166801388193497/125000000000000000000000000
22944610858615971193674591/100000000000000000000000000 321891924830909391411656927/1000000000000000000000000000 146884393681633304252958533/1000000000000000000000000000 47884277829838252210087/10000000000000000000000000 6816553317668287301891857/6250000000000000000000000 136524473680565707374360413/250000000000000000000000000
6258367274311793616028131/50000000000000000000000000 23263902965688487268855723/200000000000000000000000000 80850743517192850206285053/1000000000000000000000000000 4291054000166801388193497/125000000000000000000000000 136524473680565707374360413/250000000000000000000000000 154482271010677995778778763/500000000000000000000000000


--- Term 12 ---

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

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

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

Matrix :
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 8428669/250000000 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 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 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 :
5481730195862468207397173/1000000000000000000000000000 -19032191625023671/1000000000000000000000000000 -152373100624932256872713/250000000000000000000000000 152373100624932256872713/250000000000000000000000000 121898493495033890083729/200000000000000000000000000 0/1 29705870464235901/1000000000000000000000000000
-19032191625023671/1000000000000000000000000000 56572699449993992253092883/1000000000000000000000000000 -188694658739846705111913/7812500000000000000000000 188694658739846705111913/7812500000000000000000000 -24152916321815090535074827/1000000000000000000000000000 0/1 -4510514183777064355162483/200000000000000000000000000
-152373100624932256872713/250000000000000000000000000 -188694658739846705111913/7812500000000000000000000 19793368017567038987157141/500000000000000000000000000 -19793368017567038987157141/500000000000000000000000000 9862800454191366776575969/250000000000000000000000000 0/1 738009719168376411169483/20000000000000000000000000
152373100624932256872713/250000000000000000000000000 188694658739846705111913/7812500000000000000000000 -19793368017567038987157141/500000000000000000000000000 19793368017567038987157141/500000000000000000000000000 -9862800454191366776575969/250000000000000000000000000 0/1 -738009719168376411169483/20000000000000000000000000
121898493495033890083729/200000000000000000000000000 -24152916321815090535074827/1000000000000000000000000000 9862800454191366776575969/250000000000000000000000000 -9862800454191366776575969/250000000000000000000000000 39586736049439790544514829/1000000000000000000000000000 0/1 36900485964957808883865981/1000000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1 0/1
29705870464235901/1000000000000000000000000000 -4510514183777064355162483/200000000000000000000000000 738009719168376411169483/20000000000000000000000000 -738009719168376411169483/20000000000000000000000000 36900485964957808883865981/1000000000000000000000000000 0/1 34455500765644124857742071/1000000000000000000000000000


--- Term 14 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 12

Flags :
F1  : {1, 2, 3}
F2  : {1, 2, 3, 4}
F3  : {1, 2, 3, 5}
F4  : {1, 2, 3, 4, 5}
F5  : {1, 2, 3, 6}
F6  : {1, 2, 3, 4, 6}
F7  : {1, 2, 3, 5, 6}
F8  : {1, 2, 3, 4, 5, 6}
F9  : {1, 2, 3, 7}
F10 : {1, 2, 3, 4, 7}
F11 : {1, 2, 3, 5, 7}
F12 : {1, 2, 3, 4, 5, 7}
F13 : {1, 2, 3, 6, 7}
F14 : {1, 2, 3, 4, 6, 7}
F15 : {1, 2, 3, 5, 6, 7}
F16 : {1, 2, 3, 4, 5, 6, 7}

Basis :
B1  : (F1)
B2  : (F2)
B3  : (F3)+(F5)
B4  : (F4)+(F6)
B5  : (F7)
B6  : (F8)
B7  : (F9)
B8  : (F10)
B9  : (F11)+(F13)
B10 : (F12)+(F14)
B11 : (F15)
B12 : (F16)

Matrix :
8827508615887141628555191311/1000000000000000000000000000 1680256144941892140764146787/250000000000000000000000000 593890733149639791099269387/1000000000000000000000000000 82829049804370830709981391/200000000000000000000000000 322139894863635525057152249/200000000000000000000000000 -364987119770536380047746859/1000000000000000000000000000 -57559525653787485159070007/10000000000000000000000000 -4290922730062745186869301817/1000000000000000000000000000 -2240848485536458889908813947/1000000000000000000000000000 -108939366311384915940247849/125000000000000000000000000 -200644778872131428580419023/250000000000000000000000000 60595590810796381000753011/50000000000000000000000000
1680256144941892140764146787/250000000000000000000000000 6994301287448202461616931237/1000000000000000000000000000 -99210735365120710520754321/250000000000000000000000000 5931878526224488177315977/10000000000000000000000000 4170909680782962811032195237/1000000000000000000000000000 -588448551117045031488666537/1000000000000000000000000000 -3781745101410521560832165917/1000000000000000000000000000 -2012580693474540645498110717/500000000000000000000000000 -1129145560346692621861869269/1000000000000000000000000000 -222868839173581674795464771/200000000000000000000000000 -158802736586938849454980721/1000000000000000000000000000 285733720914144693583965449/250000000000000000000000000
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60595590810796381000753011/50000000000000000000000000 285733720914144693583965449/250000000000000000000000000 -66808893531988078999526751/125000000000000000000000000 -57704369411354677670798353/500000000000000000000000000 636072726374989559970967357/250000000000000000000000000 61495621921079294514601489/250000000000000000000000000 -537226724020271655539190917/500000000000000000000000000 -249643492216462756789633519/250000000000000000000000000 -10621218574587807673946649/50000000000000000000000000 -5139659922602112172856889/100000000000000000000000000 17214086850236248134400749/500000000000000000000000000 12525954802065497591639789/15625000000000000000000000


--- 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 :
2982702025295093394452303319/500000000000000000000000000 1422347381751719989919256747/250000000000000000000000000 1935241338887148226896512777/1000000000000000000000000000 87850961428185683807030887/40000000000000000000000000
1422347381751719989919256747/250000000000000000000000000 4665553992430499477614468207/500000000000000000000000000 278468775972441693219883071/200000000000000000000000000 1566612530162650647193355137/1000000000000000000000000000
1935241338887148226896512777/1000000000000000000000000000 278468775972441693219883071/200000000000000000000000000 68990372871545989585140061/40000000000000000000000000 1933818017825033644147789477/1000000000000000000000000000
87850961428185683807030887/40000000000000000000000000 1566612530162650647193355137/1000000000000000000000000000 1933818017825033644147789477/1000000000000000000000000000 2251595658047271031660150361/1000000000000000000000000000


--- 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 :
362799322166368034675569973/200000000000000000000000000 15726019547870393578459759/62500000000000000000000000 42704710131754925889677283/1000000000000000000000000000 -1112325750727895916860135071/1000000000000000000000000000 -94262496008943425964292347/500000000000000000000000000 86378249821876183253945023/250000000000000000000000000
15726019547870393578459759/62500000000000000000000000 318820677807707879937311/7812500000000000000000000 74043700246830366876723/12500000000000000000000000 -9643048060516690274860891/62500000000000000000000000 -817186672787944424760807/31250000000000000000000000 748836043637171301923839/15625000000000000000000000
42704710131754925889677283/1000000000000000000000000000 74043700246830366876723/12500000000000000000000000 1005344914399220146659753/1000000000000000000000000000 -26186128724429538506821533/1000000000000000000000000000 -2219106995195372631020721/500000000000000000000000000 2033497801652445646915341/250000000000000000000000000
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-94262496008943425964292347/500000000000000000000000000 -817186672787944424760807/31250000000000000000000000 -2219106995195372631020721/500000000000000000000000000 11560176134017383235700289/100000000000000000000000000 195930204075993503322849/10000000000000000000000000 -4488558236809692194930613/125000000000000000000000000
86378249821876183253945023/250000000000000000000000000 748836043637171301923839/15625000000000000000000000 2033497801652445646915341/250000000000000000000000000 -52966334670063491618622289/250000000000000000000000000 -4488558236809692194930613/125000000000000000000000000 4113128986976986111563169/62500000000000000000000000


--- 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 :
197281659554155798502335219/125000000000000000000000000 -1566008211369950380605609689/1000000000000000000000000000 -3061267126560942265801727/500000000000000000000000000 -717653746283123928077571/125000000000000000000000000 5741230395686670643593149/1000000000000000000000000000 -2870615353315947111947987/500000000000000000000000000 0/1 -1515228652976934820623197/125000000000000000000000000 1515228652976934820623197/125000000000000000000000000 85630588617802671/62500000000000000000000000
-1566008211369950380605609689/1000000000000000000000000000 1578253275389890012317568043/1000000000000000000000000000 -6122530505835681735347377/1000000000000000000000000000 5741230019805443232517207/1000000000000000000000000000 -2870615085315289202167177/500000000000000000000000000 5741230605613778869592933/1000000000000000000000000000 0/1 2424365838042990077174349/200000000000000000000000000 -2424365838042990077174349/200000000000000000000000000 -1506706395188727703/1000000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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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 :
58479374542092481653678323/1000000000000000000000000000 1970299104580467498933427/1000000000000000000000000000 11003887969103979029965919/1000000000000000000000000000 -26985626304405016986118577/1000000000000000000000000000 -14905310307048461371646219/500000000000000000000000000 -3499006535615124419145511/62500000000000000000000000
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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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