#Density : 774047428504229647968181531/4000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 8, 11, 12, 14, 15}
Number of terms              : 19


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 6

Flags :
F1 : {0}
F2 : {0, 2}
F3 : {0, 3}
F4 : {0, 2, 3}
F5 : {0, 1, 2}
F6 : {0, 1, 2, 3}

Basis :
B1 : (F1)
B2 : (F2)
B3 : (F3)
B4 : (F4)
B5 : (F5)
B6 : (F6)

Matrix :
169515055389861738391201749/250000000000000000000000000 -23667620439931877844182979/125000000000000000000000000 -48543623388492105198379539/250000000000000000000000000 -2398703054799463305937011/7812500000000000000000000 15621270376356569721266067/25000000000000000000000000 18442149841028444998239609/250000000000000000000000000
-23667620439931877844182979/125000000000000000000000000 18038890722886445618440641/62500000000000000000000000 -12013056464325575158131687/125000000000000000000000000 8231699136246142909893651/62500000000000000000000000 -11343854822058478734505821/31250000000000000000000000 4724781527770000950409299/125000000000000000000000000
-48543623388492105198379539/250000000000000000000000000 -12013056464325575158131687/125000000000000000000000000 37864945964254271403220577/250000000000000000000000000 7326399571050826760211621/125000000000000000000000000 -458809997248862719088569/7812500000000000000000000 -14590440691019801482550353/250000000000000000000000000
-2398703054799463305937011/7812500000000000000000000 8231699136246142909893651/62500000000000000000000000 7326399571050826760211621/125000000000000000000000000 36998282709326145727718271/250000000000000000000000000 -15985075600970193156737121/50000000000000000000000000 -5503970474272237040312067/250000000000000000000000000
15621270376356569721266067/25000000000000000000000000 -11343854822058478734505821/31250000000000000000000000 -458809997248862719088569/7812500000000000000000000 -15985075600970193156737121/50000000000000000000000000 181642315795489436572895003/250000000000000000000000000 5320434999279325712291719/250000000000000000000000000
18442149841028444998239609/250000000000000000000000000 4724781527770000950409299/125000000000000000000000000 -14590440691019801482550353/250000000000000000000000000 -5503970474272237040312067/250000000000000000000000000 5320434999279325712291719/250000000000000000000000000 1405689245696698972949609/62500000000000000000000000


--- 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 :
1405689245696698972949609/62500000000000000000000000 -5503970474272237040312067/250000000000000000000000000 5320434999279325712291719/250000000000000000000000000 4724781527770000950409299/125000000000000000000000000 -14590440691019801482550353/250000000000000000000000000 18442149841028444998239609/250000000000000000000000000
-5503970474272237040312067/250000000000000000000000000 36998282709326145727718271/250000000000000000000000000 -15985075600970193156737121/50000000000000000000000000 8231699136246142909893651/62500000000000000000000000 7326399571050826760211621/125000000000000000000000000 -2398703054799463305937011/7812500000000000000000000
5320434999279325712291719/250000000000000000000000000 -15985075600970193156737121/50000000000000000000000000 181642315795489436572895003/250000000000000000000000000 -11343854822058478734505821/31250000000000000000000000 -458809997248862719088569/7812500000000000000000000 15621270376356569721266067/25000000000000000000000000
4724781527770000950409299/125000000000000000000000000 8231699136246142909893651/62500000000000000000000000 -11343854822058478734505821/31250000000000000000000000 18038890722886445618440641/62500000000000000000000000 -12013056464325575158131687/125000000000000000000000000 -23667620439931877844182979/125000000000000000000000000
-14590440691019801482550353/250000000000000000000000000 7326399571050826760211621/125000000000000000000000000 -458809997248862719088569/7812500000000000000000000 -12013056464325575158131687/125000000000000000000000000 37864945964254271403220577/250000000000000000000000000 -48543623388492105198379539/250000000000000000000000000
18442149841028444998239609/250000000000000000000000000 -2398703054799463305937011/7812500000000000000000000 15621270376356569721266067/25000000000000000000000000 -23667620439931877844182979/125000000000000000000000000 -48543623388492105198379539/250000000000000000000000000 169515055389861738391201749/250000000000000000000000000


--- 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 :
272261505177650951780804279/250000000000000000000000000 164217735722368958938621973/125000000000000000000000000 -12956453005491472349618649/62500000000000000000000000 260228419268110678676603233/250000000000000000000000000 -119569717655051497845061503/125000000000000000000000000 -115223172330118370087910387/125000000000000000000000000 -9988194310433189046582569/125000000000000000000000000 -42191550605884351406196803/62500000000000000000000000 -50954548732135514395606137/62500000000000000000000000 33240271402534704707161793/125000000000000000000000000 9909003125459998720191613/250000000000000000000000000 -59257579258748603158737429/250000000000000000000000000
164217735722368958938621973/125000000000000000000000000 867964078382114022448793987/500000000000000000000000000 -126865014708763009151735107/250000000000000000000000000 108931309145994949316543037/62500000000000000000000000 -497681985563527457875164119/500000000000000000000000000 -312616977317259799067664063/250000000000000000000000000 21435206273780078672397879/250000000000000000000000000 -27675223673341610452234427/20000000000000000000000000 -390795991827663658974669773/500000000000000000000000000 -18788937192530153662279357/500000000000000000000000000 -16977547450911472108456159/250000000000000000000000000 -9144157125281053034845531/50000000000000000000000000
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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 :
1449394197276653723792862063/1000000000000000000000000000 6234041522594185145895363/4000000000000000000000000 83655389104475033649247293/100000000000000000000000000 -173211735572181171247238487/125000000000000000000000000
6234041522594185145895363/4000000000000000000000000 18360601424332193280944347/10000000000000000000000000 8802356115924297872825261/10000000000000000000000000 -1400794311836919171355137/781250000000000000000000
83655389104475033649247293/100000000000000000000000000 8802356115924297872825261/10000000000000000000000000 4851621289589837447626891/10000000000000000000000000 -298161280086091599227079/390625000000000000000000
-173211735572181171247238487/125000000000000000000000000 -1400794311836919171355137/781250000000000000000000 -298161280086091599227079/390625000000000000000000 4744560279518500392177981/2500000000000000000000000


--- 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 :
1499369532069204216619134451/500000000000000000000000000 129865690537957810552386659/62500000000000000000000000 2919612290878472419875651/10000000000000000000000000 -259470415563355570204998877/250000000000000000000000000 -915859409034032928374505943/500000000000000000000000000 -212370179300614666560697389/125000000000000000000000000 1624364706346601814255059/3906250000000000000000000 -580080503426559782972883503/500000000000000000000000000 -391233820723458535698164997/250000000000000000000000000 -193456763848935092991255619/500000000000000000000000000
129865690537957810552386659/62500000000000000000000000 4994881525511730632056647239/1000000000000000000000000000 77292961308138715833563239/250000000000000000000000000 -281107170745683630847598391/1000000000000000000000000000 -235013538294510908035985927/100000000000000000000000000 -469739373173789210585209529/250000000000000000000000000 -2148060443842467563805090727/1000000000000000000000000000 -110136754238022538979520267/100000000000000000000000000 -2546259045742885927931696313/1000000000000000000000000000 1624364706346601814255059/3906250000000000000000000
2919612290878472419875651/10000000000000000000000000 77292961308138715833563239/250000000000000000000000000 57679526443941166186236577/31250000000000000000000000 -558221039252709229946355731/500000000000000000000000000 -1035525625544796706797975649/500000000000000000000000000 3265110632053573478545851/25000000000000000000000000 77292961308138715833563239/250000000000000000000000000 -104685274866787621789167581/500000000000000000000000000 -558221039252709229946355731/500000000000000000000000000 2919612290878472419875651/10000000000000000000000000
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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 :
923170619150740004302058889/500000000000000000000000000 -765048821191129914928494797/500000000000000000000000000 -848259856300937750993932103/500000000000000000000000000 -38451244705746071858533259/25000000000000000000000000 -579012096777581586890990791/500000000000000000000000000 696430315927816469872123163/500000000000000000000000000
-765048821191129914928494797/500000000000000000000000000 717779833788143286168573371/500000000000000000000000000 169126491515826621665222799/500000000000000000000000000 74818717241031906387862771/50000000000000000000000000 696430315927816469872123163/500000000000000000000000000 -704098640505165035442884249/500000000000000000000000000
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-38451244705746071858533259/25000000000000000000000000 74818717241031906387862771/50000000000000000000000000 0/1 78738662280905306090556761/50000000000000000000000000 38451244705746071858533259/25000000000000000000000000 -74818717241031906387862771/50000000000000000000000000
-579012096777581586890990791/500000000000000000000000000 696430315927816469872123163/500000000000000000000000000 -848259856300937750993932103/500000000000000000000000000 38451244705746071858533259/25000000000000000000000000 923170619150740004302058889/500000000000000000000000000 -765048821191129914928494797/500000000000000000000000000
696430315927816469872123163/500000000000000000000000000 -704098640505165035442884249/500000000000000000000000000 169126491515826621665222799/500000000000000000000000000 -74818717241031906387862771/50000000000000000000000000 -765048821191129914928494797/500000000000000000000000000 717779833788143286168573371/500000000000000000000000000


--- 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 :
98479067865236995127484053/200000000000000000000000000 44162475693652409998195049/200000000000000000000000000 -95237445109215393340992253/200000000000000000000000000 -19000580461025538506228911/50000000000000000000000000 -13877056418276579029365303/25000000000000000000000000 30073116647271541720332293/200000000000000000000000000 -9907925021884758548974217/50000000000000000000000000 81183940846283518089033407/200000000000000000000000000 88274122400534920038184763/200000000000000000000000000
44162475693652409998195049/200000000000000000000000000 546093237730134502356386419/1000000000000000000000000000 1027159319384951794543587373/1000000000000000000000000000 -25505906159663438333780327/100000000000000000000000000 -18628215043374190505607471/50000000000000000000000000 -1245846749765975565038791673/1000000000000000000000000000 -13300151875019830433313169/100000000000000000000000000 -125438465593618967617555439/1000000000000000000000000000 81183940846283518089033407/200000000000000000000000000
-95237445109215393340992253/200000000000000000000000000 1027159319384951794543587373/1000000000000000000000000000 3903689822709745638569800651/1000000000000000000000000000 2651970902061297619129889/20000000000000000000000000 1936864502798780809667097/10000000000000000000000000 -3789999938808619507693450151/1000000000000000000000000000 1382880323669081637209383/20000000000000000000000000 -1245846749765975565038791673/1000000000000000000000000000 30073116647271541720332293/200000000000000000000000000
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30073116647271541720332293/200000000000000000000000000 -1245846749765975565038791673/1000000000000000000000000000 -3789999938808619507693450151/1000000000000000000000000000 2651970902061297619129889/20000000000000000000000000 1936864502798780809667097/10000000000000000000000000 3903689822709745638569800651/1000000000000000000000000000 1382880323669081637209383/20000000000000000000000000 1027159319384951794543587373/1000000000000000000000000000 -95237445109215393340992253/200000000000000000000000000
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88274122400534920038184763/200000000000000000000000000 81183940846283518089033407/200000000000000000000000000 30073116647271541720332293/200000000000000000000000000 -19000580461025538506228911/50000000000000000000000000 -13877056418276579029365303/25000000000000000000000000 -95237445109215393340992253/200000000000000000000000000 -9907925021884758548974217/50000000000000000000000000 44162475693652409998195049/200000000000000000000000000 98479067865236995127484053/200000000000000000000000000


--- 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 :
376283729624056366693611597/250000000000000000000000000 -116921497681122051/250000000000000000000000000 307546303159165757634781139/500000000000000000000000000 -307546302818325967396842121/500000000000000000000000000 -615092605940072695759303407/1000000000000000000000000000 -647003573926109407540580577/500000000000000000000000000 448415880162140469/500000000000000000000000000
-116921497681122051/250000000000000000000000000 111249461966211983331760163/100000000000000000000000000 16525392056578565644213923/31250000000000000000000000 -66101568371520308512105373/125000000000000000000000000 528812546399030459392887981/1000000000000000000000000000 7064400648339809/50000000000000000000000000 -647003573926109407540580577/500000000000000000000000000
307546303159165757634781139/500000000000000000000000000 16525392056578565644213923/31250000000000000000000000 955885967077090666129699427/500000000000000000000000000 453155069661447200578113171/500000000000000000000000000 -11008133120368481916304209/7812500000000000000000000 -66101568371520308512105373/125000000000000000000000000 -307546302818325967396842121/500000000000000000000000000
-307546302818325967396842121/500000000000000000000000000 -66101568371520308512105373/125000000000000000000000000 453155069661447200578113171/500000000000000000000000000 955885967077090666129699427/500000000000000000000000000 -11008133120368481916304209/7812500000000000000000000 16525392056578565644213923/31250000000000000000000000 307546303159165757634781139/500000000000000000000000000
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-647003573926109407540580577/500000000000000000000000000 7064400648339809/50000000000000000000000000 -66101568371520308512105373/125000000000000000000000000 16525392056578565644213923/31250000000000000000000000 528812546399030459392887981/1000000000000000000000000000 111249461966211983331760163/100000000000000000000000000 -116921497681122051/250000000000000000000000000
448415880162140469/500000000000000000000000000 -647003573926109407540580577/500000000000000000000000000 -307546302818325967396842121/500000000000000000000000000 307546303159165757634781139/500000000000000000000000000 -615092605940072695759303407/1000000000000000000000000000 -116921497681122051/250000000000000000000000000 376283729624056366693611597/250000000000000000000000000


--- 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 :
635983232366309980523603233/200000000000000000000000000 -2037731006821402417196535087/1000000000000000000000000000 -2219042729394570779295511493/1000000000000000000000000000 769814255199139573038787513/500000000000000000000000000 -1141486918473884582908381083/250000000000000000000000000 -9144157125281053034845531/50000000000000000000000000 670147256233462505597397603/500000000000000000000000000 787244255294405541414425411/500000000000000000000000000 -7761342504002314390226759/250000000000000000000000000 98019656217208420812219929/200000000000000000000000000 -999546502944656718753029453/1000000000000000000000000000 -59257579258748603158737429/250000000000000000000000000
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-59257579258748603158737429/250000000000000000000000000 -115223172330118370087910387/125000000000000000000000000 33240271402534704707161793/125000000000000000000000000 260228419268110678676603233/250000000000000000000000000 -42191550605884351406196803/62500000000000000000000000 164217735722368958938621973/125000000000000000000000000 9909003125459998720191613/250000000000000000000000000 -119569717655051497845061503/125000000000000000000000000 -50954548732135514395606137/62500000000000000000000000 -12956453005491472349618649/62500000000000000000000000 -9988194310433189046582569/125000000000000000000000000 272261505177650951780804279/250000000000000000000000000


--- 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 :
4744560279518500392177981/2500000000000000000000000 -1400794311836919171355137/781250000000000000000000 -298161280086091599227079/390625000000000000000000 -173211735572181171247238487/125000000000000000000000000
-1400794311836919171355137/781250000000000000000000 18360601424332193280944347/10000000000000000000000000 8802356115924297872825261/10000000000000000000000000 6234041522594185145895363/4000000000000000000000000
-298161280086091599227079/390625000000000000000000 8802356115924297872825261/10000000000000000000000000 4851621289589837447626891/10000000000000000000000000 83655389104475033649247293/100000000000000000000000000
-173211735572181171247238487/125000000000000000000000000 6234041522594185145895363/4000000000000000000000000 83655389104475033649247293/100000000000000000000000000 1449394197276653723792862063/1000000000000000000000000000


--- 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 :
108181078580667159657559/40000000000000000000000000 531812857060112890910671/100000000000000000000000000 422675970773592644085139/200000000000000000000000000 430684854759909898107367/200000000000000000000000000 2439448976793684252463/200000000000000000000000000 -4301304150280277972149857/200000000000000000000000000
531812857060112890910671/100000000000000000000000000 2614365826677782658440449/250000000000000000000000000 2077854264767961454791691/500000000000000000000000000 2117225545422870529997323/500000000000000000000000000 11992211087391226017997/500000000000000000000000000 -21144999469933818029524083/500000000000000000000000000
422675970773592644085139/200000000000000000000000000 2077854264767961454791691/500000000000000000000000000 47638763461479563126937919/1000000000000000000000000000 1682735500444479014926627/1000000000000000000000000000 9531231148842420762283/1000000000000000000000000000 -16805692198108139230092837/1000000000000000000000000000
430684854759909898107367/200000000000000000000000000 2117225545422870529997323/500000000000000000000000000 1682735500444479014926627/1000000000000000000000000000 342924005848677422915987/200000000000000000000000000 9711806741519737845331/1000000000000000000000000000 -17124127227667678238822109/1000000000000000000000000000
2439448976793684252463/200000000000000000000000000 11992211087391226017997/500000000000000000000000000 9531231148842420762283/1000000000000000000000000000 9711806741519737845331/1000000000000000000000000000 55008799953344046337/1000000000000000000000000000 -96993043015886542162143/1000000000000000000000000000
-4301304150280277972149857/200000000000000000000000000 -21144999469933818029524083/500000000000000000000000000 -16805692198108139230092837/1000000000000000000000000000 -17124127227667678238822109/1000000000000000000000000000 -96993043015886542162143/1000000000000000000000000000 171020825785375950484688577/1000000000000000000000000000


--- Term 17 ---

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

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

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

Matrix :
624773543727329072798655997/250000000000000000000000000 -2498472126926893937575917071/1000000000000000000000000000 -311027242993184732237101/1000000000000000000000000000 -148953838874322736446933113/1000000000000000000000000000 9309615036709923333076979/62500000000000000000000000 -29790767493924689739212707/200000000000000000000000000 607057137405178638743577/200000000000000000000000000 403157350340862402127907733/1000000000000000000000000000 -25365801664463588307305877/62500000000000000000000000 673869361233625459069443/500000000000000000000000000
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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 :
171020825785375950484688577/1000000000000000000000000000 -96993043015886542162143/1000000000000000000000000000 -16805692198108139230092837/1000000000000000000000000000 -17124127227667678238822109/1000000000000000000000000000 -21144999469933818029524083/500000000000000000000000000 -4301304150280277972149857/200000000000000000000000000
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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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