#Density : 308452899110738332230008539/1600000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {3, 5, 6, 8, 11, 12, 13, 14}
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 :
2551364917869322789343629/12500000000000000000000000 -11046201847767072860567187/25000000000000000000000000 2681227111103887213405889/25000000000000000000000000 2694497265748357130299693/12500000000000000000000000 81351564556487870037653/1250000000000000000000000 1560943739385235629316607/12500000000000000000000000
-11046201847767072860567187/25000000000000000000000000 47824822865210498735920461/50000000000000000000000000 -11608443645800686176575967/50000000000000000000000000 -11665897131081150576616179/25000000000000000000000000 -352213748973656199442059/2500000000000000000000000 -6758147177416339254842721/25000000000000000000000000
2681227111103887213405889/25000000000000000000000000 -11608443645800686176575967/50000000000000000000000000 2817699173868904712932549/50000000000000000000000000 2831644767520403011878113/25000000000000000000000000 85492286458861330538473/2500000000000000000000000 1640394380135447366760187/25000000000000000000000000
2694497265748357130299693/12500000000000000000000000 -11665897131081150576616179/25000000000000000000000000 2831644767520403011878113/25000000000000000000000000 2845659381876487625880781/12500000000000000000000000 85915412070832085346101/1250000000000000000000000 1648513157919010260196319/12500000000000000000000000
81351564556487870037653/1250000000000000000000000 -352213748973656199442059/2500000000000000000000000 85492286458861330538473/2500000000000000000000000 85915412070832085346101/1250000000000000000000000 2593935900519967001821/125000000000000000000000 49771482900882143542999/1250000000000000000000000
1560943739385235629316607/12500000000000000000000000 -6758147177416339254842721/25000000000000000000000000 1640394380135447366760187/25000000000000000000000000 1648513157919010260196319/12500000000000000000000000 49771482900882143542999/1250000000000000000000000 954996809927429882336581/12500000000000000000000000


--- 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 :
954996809927429882336581/12500000000000000000000000 1648513157919010260196319/12500000000000000000000000 49771482900882143542999/1250000000000000000000000 -6758147177416339254842721/25000000000000000000000000 1640394380135447366760187/25000000000000000000000000 1560943739385235629316607/12500000000000000000000000
1648513157919010260196319/12500000000000000000000000 2845659381876487625880781/12500000000000000000000000 85915412070832085346101/1250000000000000000000000 -11665897131081150576616179/25000000000000000000000000 2831644767520403011878113/25000000000000000000000000 2694497265748357130299693/12500000000000000000000000
49771482900882143542999/1250000000000000000000000 85915412070832085346101/1250000000000000000000000 2593935900519967001821/125000000000000000000000 -352213748973656199442059/2500000000000000000000000 85492286458861330538473/2500000000000000000000000 81351564556487870037653/1250000000000000000000000
-6758147177416339254842721/25000000000000000000000000 -11665897131081150576616179/25000000000000000000000000 -352213748973656199442059/2500000000000000000000000 47824822865210498735920461/50000000000000000000000000 -11608443645800686176575967/50000000000000000000000000 -11046201847767072860567187/25000000000000000000000000
1640394380135447366760187/25000000000000000000000000 2831644767520403011878113/25000000000000000000000000 85492286458861330538473/2500000000000000000000000 -11608443645800686176575967/50000000000000000000000000 2817699173868904712932549/50000000000000000000000000 2681227111103887213405889/25000000000000000000000000
1560943739385235629316607/12500000000000000000000000 2694497265748357130299693/12500000000000000000000000 81351564556487870037653/1250000000000000000000000 -11046201847767072860567187/25000000000000000000000000 2681227111103887213405889/25000000000000000000000000 2551364917869322789343629/12500000000000000000000000


--- 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 :
156453627875048695846999073/500000000000000000000000000 1130421971096356785679677/31250000000000000000000000 18058983304893964002618399/125000000000000000000000000 41198526218162895622574529/100000000000000000000000000 25373292420816590289898109/500000000000000000000000000 23077555027793316220843389/125000000000000000000000000 -112958796455258122511385543/500000000000000000000000000 -67173128027033767496135013/500000000000000000000000000 -16578456410101073619343167/125000000000000000000000000 -23468904086181613990684821/50000000000000000000000000 -48034842511592108875359807/500000000000000000000000000 201988445703690267636517/25000000000000000000000000
1130421971096356785679677/31250000000000000000000000 58800632399821077040962897/250000000000000000000000000 -1752509558097140987434851/500000000000000000000000000 565344715479825612384531579/500000000000000000000000000 23754090149939567286115223/200000000000000000000000000 140339523577520195023907419/1000000000000000000000000000 -63937257804854198296838053/250000000000000000000000000 -74821400639239969954201633/125000000000000000000000000 -59459241583273127768631979/200000000000000000000000000 -493100551891958389076851821/500000000000000000000000000 144731728067157715950604731/1000000000000000000000000000 409232998289468287842936991/1000000000000000000000000000
18058983304893964002618399/125000000000000000000000000 -1752509558097140987434851/500000000000000000000000000 53353986246999646202274777/500000000000000000000000000 -1483318557021005968226643/50000000000000000000000000 -52606147157018355986074569/1000000000000000000000000000 10504261905977075044244379/1000000000000000000000000000 -31051828913108736242803521/500000000000000000000000000 65407164527128390084327089/500000000000000000000000000 -6147990439017263260694517/1000000000000000000000000000 -89768277658666029023829/5000000000000000000000000 -87280570507426672974077943/1000000000000000000000000000 -20390541188990639436343887/200000000000000000000000000
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201988445703690267636517/25000000000000000000000000 409232998289468287842936991/1000000000000000000000000000 -20390541188990639436343887/200000000000000000000000000 1076913623324213814292126557/500000000000000000000000000 2515024726564499501962143/7812500000000000000000000 332794244175502448019451693/1000000000000000000000000000 -452154486994039841012731249/1000000000000000000000000000 -32337140056159001937980921/25000000000000000000000000 -139358555625345738252191377/250000000000000000000000000 -936878315672905875688214693/500000000000000000000000000 326547997918090677060577601/1000000000000000000000000000 849864978752319898162462213/1000000000000000000000000000


--- 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 :
421324261846168039475427503/1000000000000000000000000000 72720147468717778849213999/200000000000000000000000000 353729987021869566731953649/500000000000000000000000000 137026236080774691006202731/1000000000000000000000000000
72720147468717778849213999/200000000000000000000000000 111941007276392110291192021/20000000000000000000000000 -301450636243566576498311191/200000000000000000000000000 -613621110368648572380807351/100000000000000000000000000
353729987021869566731953649/500000000000000000000000000 -301450636243566576498311191/200000000000000000000000000 2036831764570625607424139903/1000000000000000000000000000 2737176632609280390757990221/1000000000000000000000000000
137026236080774691006202731/1000000000000000000000000000 -613621110368648572380807351/100000000000000000000000000 2737176632609280390757990221/1000000000000000000000000000 3724379692182391635870061581/500000000000000000000000000


--- 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 :
3760515989407283676216207051/1000000000000000000000000000 428894880398161679499697463/200000000000000000000000000 1544418499627184301101509941/500000000000000000000000000 -346609585285597516263410843/500000000000000000000000000 -1019682875584744736428621251/500000000000000000000000000 -384342887434069706015765403/500000000000000000000000000 -2051777473540458355456010131/1000000000000000000000000000 -1399963909708088885021977441/500000000000000000000000000 -1346419827036800836692973609/500000000000000000000000000 135340374453259733871074353/200000000000000000000000000
428894880398161679499697463/200000000000000000000000000 583649940130948049800530579/125000000000000000000000000 -41711858538505412050057893/1000000000000000000000000000 8556461826943390505165411/3906250000000000000000000 70390570635293861367777039/1000000000000000000000000000 -45876566481631027163000127/500000000000000000000000000 -2308423735245795114925803567/500000000000000000000000000 -16372353514313658181740993/1000000000000000000000000000 -558645690593040484387482359/250000000000000000000000000 -2051777473540458355456010131/1000000000000000000000000000
1544418499627184301101509941/500000000000000000000000000 -41711858538505412050057893/1000000000000000000000000000 5147060876291469719581192839/1000000000000000000000000000 -1310892655839477504146962353/500000000000000000000000000 -717689997515227864461933597/200000000000000000000000000 -413817689852206783517133207/500000000000000000000000000 -41711858538505412050057893/1000000000000000000000000000 -4425181396642298122673501223/1000000000000000000000000000 -1310892655839477504146962353/500000000000000000000000000 1544418499627184301101509941/500000000000000000000000000
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135340374453259733871074353/200000000000000000000000000 -2051777473540458355456010131/1000000000000000000000000000 1544418499627184301101509941/500000000000000000000000000 -1346419827036800836692973609/500000000000000000000000000 -1019682875584744736428621251/500000000000000000000000000 -384342887434069706015765403/500000000000000000000000000 428894880398161679499697463/200000000000000000000000000 -1399963909708088885021977441/500000000000000000000000000 -346609585285597516263410843/500000000000000000000000000 3760515989407283676216207051/1000000000000000000000000000


--- 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 :
20108011183936468625727/15625000000000000000000000 -62177131298769597939483/125000000000000000000000000 0/1 -3532916653864182796466673/125000000000000000000000000 -20108011183936468625727/15625000000000000000000000 62177131298769597939483/125000000000000000000000000
-62177131298769597939483/125000000000000000000000000 192261463412793006533607/1000000000000000000000000000 0/1 10924333622332894565820117/1000000000000000000000000000 62177131298769597939483/125000000000000000000000000 -192261463412793006533607/1000000000000000000000000000
0/1 0/1 0/1 0/1 0/1 0/1
-3532916653864182796466673/125000000000000000000000000 10924333622332894565820117/1000000000000000000000000000 0/1 620722754178786882313320927/1000000000000000000000000000 3532916653864182796466673/125000000000000000000000000 -10924333622332894565820117/1000000000000000000000000000
-20108011183936468625727/15625000000000000000000000 62177131298769597939483/125000000000000000000000000 0/1 3532916653864182796466673/125000000000000000000000000 20108011183936468625727/15625000000000000000000000 -62177131298769597939483/125000000000000000000000000
62177131298769597939483/125000000000000000000000000 -192261463412793006533607/1000000000000000000000000000 0/1 -10924333622332894565820117/1000000000000000000000000000 -62177131298769597939483/125000000000000000000000000 192261463412793006533607/1000000000000000000000000000


--- 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 :
261867298215532726532426357/1000000000000000000000000000 142582297782966556651339173/500000000000000000000000000 -67562309820961732208819853/100000000000000000000000000 147684204285636787393719329/250000000000000000000000000 -6847558910087976494000519/8000000000000000000000000 -67562309820961732208819853/100000000000000000000000000 267306241651769085072727677/1000000000000000000000000000 142582297782966556651339173/500000000000000000000000000 261867298215532726532426357/1000000000000000000000000000
142582297782966556651339173/500000000000000000000000000 77633640319372599504278997/250000000000000000000000000 -36786530595617595475475517/50000000000000000000000000 80411541787718034610920081/125000000000000000000000000 -3728379565748534085923991/4000000000000000000000000 -36786530595617595475475517/50000000000000000000000000 145543710139281023111140653/500000000000000000000000000 77633640319372599504278997/250000000000000000000000000 142582297782966556651339173/500000000000000000000000000
-67562309820961732208819853/100000000000000000000000000 -36786530595617595475475517/50000000000000000000000000 17431217030339635604235237/10000000000000000000000000 -38102833128083024514094041/25000000000000000000000000 1766684499184287540433551/800000000000000000000000 17431217030339635604235237/10000000000000000000000000 -68965568586152179508738133/100000000000000000000000000 -36786530595617595475475517/50000000000000000000000000 -67562309820961732208819853/100000000000000000000000000
147684204285636787393719329/250000000000000000000000000 80411541787718034610920081/125000000000000000000000000 -38102833128083024514094041/25000000000000000000000000 83288842647050292987926813/62500000000000000000000000 -3861789142159412222411243/2000000000000000000000000 -38102833128083024514094041/25000000000000000000000000 150751582453925801155599369/250000000000000000000000000 80411541787718034610920081/125000000000000000000000000 147684204285636787393719329/250000000000000000000000000
-6847558910087976494000519/8000000000000000000000000 -3728379565748534085923991/4000000000000000000000000 1766684499184287540433551/800000000000000000000000 -3861789142159412222411243/2000000000000000000000000 179056580743933454032973/64000000000000000000000 1766684499184287540433551/800000000000000000000000 -6989781653599887390484959/8000000000000000000000000 -3728379565748534085923991/4000000000000000000000000 -6847558910087976494000519/8000000000000000000000000
-67562309820961732208819853/100000000000000000000000000 -36786530595617595475475517/50000000000000000000000000 17431217030339635604235237/10000000000000000000000000 -38102833128083024514094041/25000000000000000000000000 1766684499184287540433551/800000000000000000000000 17431217030339635604235237/10000000000000000000000000 -68965568586152179508738133/100000000000000000000000000 -36786530595617595475475517/50000000000000000000000000 -67562309820961732208819853/100000000000000000000000000
267306241651769085072727677/1000000000000000000000000000 145543710139281023111140653/500000000000000000000000000 -68965568586152179508738133/100000000000000000000000000 150751582453925801155599369/250000000000000000000000000 -6989781653599887390484959/8000000000000000000000000 -68965568586152179508738133/100000000000000000000000000 272858151105160555107232197/1000000000000000000000000000 145543710139281023111140653/500000000000000000000000000 267306241651769085072727677/1000000000000000000000000000
142582297782966556651339173/500000000000000000000000000 77633640319372599504278997/250000000000000000000000000 -36786530595617595475475517/50000000000000000000000000 80411541787718034610920081/125000000000000000000000000 -3728379565748534085923991/4000000000000000000000000 -36786530595617595475475517/50000000000000000000000000 145543710139281023111140653/500000000000000000000000000 77633640319372599504278997/250000000000000000000000000 142582297782966556651339173/500000000000000000000000000
261867298215532726532426357/1000000000000000000000000000 142582297782966556651339173/500000000000000000000000000 -67562309820961732208819853/100000000000000000000000000 147684204285636787393719329/250000000000000000000000000 -6847558910087976494000519/8000000000000000000000000 -67562309820961732208819853/100000000000000000000000000 267306241651769085072727677/1000000000000000000000000000 142582297782966556651339173/500000000000000000000000000 261867298215532726532426357/1000000000000000000000000000


--- 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 :
5915341513054576878365971/250000000000000000000000000 2679063449084569/25000000000000000000000000 -22948874496540210045207641/250000000000000000000000000 11474437434027824898440091/125000000000000000000000000 11474437293897650382035737/125000000000000000000000000 5418849967829928084304349/250000000000000000000000000 19205124250981493/250000000000000000000000000
2679063449084569/25000000000000000000000000 3971224303320049626364721/200000000000000000000000000 84090839971968204147298753/1000000000000000000000000000 -84090839274634140925360773/1000000000000000000000000000 21022709973618305805668771/250000000000000000000000000 131870011030558247/1000000000000000000000000000 5418849967829928084304349/250000000000000000000000000
-22948874496540210045207641/250000000000000000000000000 84090839971968204147298753/1000000000000000000000000000 1709175147684458580958108037/1000000000000000000000000000 56934703978257329061106683/200000000000000000000000000 -249231083703589560266251507/250000000000000000000000000 -84090839274634140925360773/1000000000000000000000000000 11474437434027824898440091/125000000000000000000000000
11474437434027824898440091/125000000000000000000000000 -84090839274634140925360773/1000000000000000000000000000 56934703978257329061106683/200000000000000000000000000 1709175147684458580958108037/1000000000000000000000000000 -249231083703589560266251507/250000000000000000000000000 84090839971968204147298753/1000000000000000000000000000 -22948874496540210045207641/250000000000000000000000000
11474437293897650382035737/125000000000000000000000000 21022709973618305805668771/250000000000000000000000000 -249231083703589560266251507/250000000000000000000000000 -249231083703589560266251507/250000000000000000000000000 534117234617816899437573/312500000000000000000000 21022709973618305805668771/250000000000000000000000000 11474437293897650382035737/125000000000000000000000000
5418849967829928084304349/250000000000000000000000000 131870011030558247/1000000000000000000000000000 -84090839274634140925360773/1000000000000000000000000000 84090839971968204147298753/1000000000000000000000000000 21022709973618305805668771/250000000000000000000000000 3971224303320049626364721/200000000000000000000000000 2679063449084569/25000000000000000000000000
19205124250981493/250000000000000000000000000 5418849967829928084304349/250000000000000000000000000 11474437434027824898440091/125000000000000000000000000 -22948874496540210045207641/250000000000000000000000000 11474437293897650382035737/125000000000000000000000000 2679063449084569/25000000000000000000000000 5915341513054576878365971/250000000000000000000000000


--- 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 :
849864978752319898162462213/1000000000000000000000000000 332794244175502448019451693/1000000000000000000000000000 -936878315672905875688214693/500000000000000000000000000 1076913623324213814292126557/500000000000000000000000000 -32337140056159001937980921/25000000000000000000000000 409232998289468287842936991/1000000000000000000000000000 326547997918090677060577601/1000000000000000000000000000 2515024726564499501962143/7812500000000000000000000 -139358555625345738252191377/250000000000000000000000000 -20390541188990639436343887/200000000000000000000000000 -452154486994039841012731249/1000000000000000000000000000 201988445703690267636517/25000000000000000000000000
332794244175502448019451693/1000000000000000000000000000 278447046939012001541763827/1000000000000000000000000000 -7454912844511839683232257/7812500000000000000000000 126438009908360677200309333/125000000000000000000000000 -309111583044323161138945001/500000000000000000000000000 140339523577520195023907419/1000000000000000000000000000 72870840921596002129350113/1000000000000000000000000000 9970209567881985995859723/50000000000000000000000000 -27467521179481901788449627/100000000000000000000000000 10504261905977075044244379/1000000000000000000000000000 -288789005931761339540649401/1000000000000000000000000000 23077555027793316220843389/125000000000000000000000000
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201988445703690267636517/25000000000000000000000000 23077555027793316220843389/125000000000000000000000000 -23468904086181613990684821/50000000000000000000000000 41198526218162895622574529/100000000000000000000000000 -67173128027033767496135013/500000000000000000000000000 1130421971096356785679677/31250000000000000000000000 -48034842511592108875359807/500000000000000000000000000 25373292420816590289898109/500000000000000000000000000 -16578456410101073619343167/125000000000000000000000000 18058983304893964002618399/125000000000000000000000000 -112958796455258122511385543/500000000000000000000000000 156453627875048695846999073/500000000000000000000000000


--- 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 :
3724379692182391635870061581/500000000000000000000000000 -613621110368648572380807351/100000000000000000000000000 2737176632609280390757990221/1000000000000000000000000000 137026236080774691006202731/1000000000000000000000000000
-613621110368648572380807351/100000000000000000000000000 111941007276392110291192021/20000000000000000000000000 -301450636243566576498311191/200000000000000000000000000 72720147468717778849213999/200000000000000000000000000
2737176632609280390757990221/1000000000000000000000000000 -301450636243566576498311191/200000000000000000000000000 2036831764570625607424139903/1000000000000000000000000000 353729987021869566731953649/500000000000000000000000000
137026236080774691006202731/1000000000000000000000000000 72720147468717778849213999/200000000000000000000000000 353729987021869566731953649/500000000000000000000000000 421324261846168039475427503/1000000000000000000000000000


--- 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 :
225782846083106285451855369/1000000000000000000000000000 -42554948622441622025707143/500000000000000000000000000 28695338572489153554354321/500000000000000000000000000 -159188016643840053836998323/500000000000000000000000000 -226453657326038225477301/62500000000000000000000000 -25658871104849821031565633/500000000000000000000000000
-42554948622441622025707143/500000000000000000000000000 19929422859001958239731567/250000000000000000000000000 -182462970724832570782671/250000000000000000000000000 5670770475684767431454109/31250000000000000000000000 -12082918465875325361961249/250000000000000000000000000 -801306043095925947412917/15625000000000000000000000
28695338572489153554354321/500000000000000000000000000 -182462970724832570782671/250000000000000000000000000 9272073423407352146587833/125000000000000000000000000 -13489918292992057790669289/250000000000000000000000000 -5682460166519709760338993/250000000000000000000000000 -11009522141677815054080097/250000000000000000000000000
-159188016643840053836998323/500000000000000000000000000 5670770475684767431454109/31250000000000000000000000 -13489918292992057790669289/250000000000000000000000000 264108177541688376245456157/500000000000000000000000000 -29501352103099923548925237/500000000000000000000000000 -9375056536575694955756337/500000000000000000000000000
-226453657326038225477301/62500000000000000000000000 -12082918465875325361961249/250000000000000000000000000 -5682460166519709760338993/250000000000000000000000000 -29501352103099923548925237/500000000000000000000000000 25953635825821294461776589/500000000000000000000000000 37254704722111841512664541/500000000000000000000000000
-25658871104849821031565633/500000000000000000000000000 -801306043095925947412917/15625000000000000000000000 -11009522141677815054080097/250000000000000000000000000 -9375056536575694955756337/500000000000000000000000000 37254704722111841512664541/500000000000000000000000000 58191657699585439405416093/500000000000000000000000000


--- 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 :
2073586438336655137239073413/500000000000000000000000000 -414690486331993299524146353/100000000000000000000000000 -67006080576745174960613/500000000000000000000000000 -107414087194603571801508379/250000000000000000000000000 429656345205977794329675359/1000000000000000000000000000 -429656345618573203079845031/1000000000000000000000000000 -27930602813554858316649/1000000000000000000000000000 301434367363127341845089887/1000000000000000000000000000 -153495167626165603305579633/500000000000000000000000000 2777983832620116669035959/1000000000000000000000000000
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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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