#Density : 2040290529589628819599161307/12000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 7, 8, 9, 10, 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 :
574968953495800934982511317/1000000000000000000000000000 -117534039579284535279643689/1000000000000000000000000000 -275219110391891276285458821/1000000000000000000000000000 1684749853879703355920067/40000000000000000000000000 -356851671647091442742340423/1000000000000000000000000000 136743386208159333763153737/500000000000000000000000000
-117534039579284535279643689/1000000000000000000000000000 24026080670676961575684813/1000000000000000000000000000 56259757360989870200296857/1000000000000000000000000000 -344393301243763627967439/40000000000000000000000000 72946927385026891773921891/1000000000000000000000000000 -27952818094051344087902829/500000000000000000000000000
-275219110391891276285458821/1000000000000000000000000000 56259757360989870200296857/1000000000000000000000000000 131738519557225476026686773/1000000000000000000000000000 -806435466121262580647571/40000000000000000000000000 170813396124159692672387799/1000000000000000000000000000 -65454652595358394534852281/500000000000000000000000000
1684749853879703355920067/40000000000000000000000000 -344393301243763627967439/40000000000000000000000000 -806435466121262580647571/40000000000000000000000000 4936583189214599641317/1600000000000000000000000 -1045631765000257296356673/40000000000000000000000000 400679721109315097837487/20000000000000000000000000
-356851671647091442742340423/1000000000000000000000000000 72946927385026891773921891/1000000000000000000000000000 170813396124159692672387799/1000000000000000000000000000 -1045631765000257296356673/40000000000000000000000000 221478246404574900651830637/1000000000000000000000000000 -84869114511974876717150403/500000000000000000000000000
136743386208159333763153737/500000000000000000000000000 -27952818094051344087902829/500000000000000000000000000 -65454652595358394534852281/500000000000000000000000000 400679721109315097837487/20000000000000000000000000 -84869114511974876717150403/500000000000000000000000000 32521327556880650712825357/250000000000000000000000000


--- 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 :
878685040113792913698921/250000000000000000000000000 40704456854536865373627/2500000000000000000000000 -4163931103360555471659309/125000000000000000000000000 5215349035234501244651493/250000000000000000000000000 -748230051955494153638061/50000000000000000000000000 -5843441613800560990671801/250000000000000000000000000
40704456854536865373627/2500000000000000000000000 1885604889333594128049/25000000000000000000000 -192891134142962273317383/1250000000000000000000000 241597318828326881657391/2500000000000000000000000 -34661222709727808028807/500000000000000000000000 -270693258895300223414187/2500000000000000000000000
-4163931103360555471659309/125000000000000000000000000 -192891134142962273317383/1250000000000000000000000 19732124074046005156607361/62500000000000000000000000 -24714605428905513515843097/125000000000000000000000000 3545728268462483174298369/25000000000000000000000000 27691023717923446748240829/125000000000000000000000000
5215349035234501244651493/250000000000000000000000000 241597318828326881657391/2500000000000000000000000 -24714605428905513515843097/125000000000000000000000000 30955193633203270682083569/250000000000000000000000000 -4441046224133038142857113/50000000000000000000000000 -34683175645094848961644533/250000000000000000000000000
-748230051955494153638061/50000000000000000000000000 -34661222709727808028807/500000000000000000000000 3545728268462483174298369/25000000000000000000000000 -4441046224133038142857113/50000000000000000000000000 637143214110961872924801/10000000000000000000000000 4975888313435573597070141/50000000000000000000000000
-5843441613800560990671801/250000000000000000000000000 -270693258895300223414187/2500000000000000000000000 27691023717923446748240829/125000000000000000000000000 -34683175645094848961644533/250000000000000000000000000 4975888313435573597070141/50000000000000000000000000 38860124316528818802051081/250000000000000000000000000


--- 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 :
79844029278032433738747389/125000000000000000000000000 200219684655010098361954343/250000000000000000000000000 -146304646489088095358325257/250000000000000000000000000 11872768558989050777216067/125000000000000000000000000 -152679474564595392558554843/500000000000000000000000000 -526293609825660609880643697/500000000000000000000000000 88429266492473276491870681/500000000000000000000000000 129617885980223451320388677/250000000000000000000000000 18322202737567554063521707/50000000000000000000000000 214527319922236588949683391/500000000000000000000000000 -99815520142561794788222681/250000000000000000000000000 -41954704340181716244404461/25000000000000000000000000
200219684655010098361954343/250000000000000000000000000 1085504055627888751260348587/1000000000000000000000000000 -6043784084981408763393809/8000000000000000000000000 315446674621011203747895333/500000000000000000000000000 -275507335652548006205583519/500000000000000000000000000 -5177239733044669628527279/8000000000000000000000000 522185557100962468235248569/1000000000000000000000000000 37775944609126729288883459/62500000000000000000000000 -27739221183914718215655369/1000000000000000000000000000 562727223903849688652377387/1000000000000000000000000000 -993777403970213450890128743/1000000000000000000000000000 -919022766210590235399407411/500000000000000000000000000
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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 :
1249478864955436429122090291/1000000000000000000000000000 727166915820439860645268911/1000000000000000000000000000 1155006645140305826451156663/1000000000000000000000000000 299113974979340104422282969/1000000000000000000000000000
727166915820439860645268911/1000000000000000000000000000 423193811671772213539629681/1000000000000000000000000000 672186335803882880724910323/1000000000000000000000000000 174077203488445392552410049/1000000000000000000000000000
1155006645140305826451156663/1000000000000000000000000000 672186335803882880724910323/1000000000000000000000000000 1067677403543631662338692459/1000000000000000000000000000 276498176035994819074832517/1000000000000000000000000000
299113974979340104422282969/1000000000000000000000000000 174077203488445392552410049/1000000000000000000000000000 276498176035994819074832517/1000000000000000000000000000 2113402642922454617998222371/1000000000000000000000000000


--- 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 :
765820827462330195079879593/500000000000000000000000000 104875436947575412762811349/62500000000000000000000000 54422633314592780833447281/250000000000000000000000000 11816950945618549008858027/125000000000000000000000000 9047161006736835933808077/50000000000000000000000000 -178271630931527888963283231/250000000000000000000000000 -249438184489963058858734551/500000000000000000000000000 -312463955658561365997337491/500000000000000000000000000 -26189479189685741155357941/25000000000000000000000000 -391664415767381154531505191/500000000000000000000000000
104875436947575412762811349/62500000000000000000000000 986408116632403481437910983/200000000000000000000000000 448198250595650665635094419/200000000000000000000000000 -1590233878798260456643647259/1000000000000000000000000000 -100666082898959838491679787/1000000000000000000000000000 -2342082259115014739815413341/1000000000000000000000000000 939240265824327838197585509/1000000000000000000000000000 -1554326013092642943811729197/1000000000000000000000000000 -2615317979435549865371834247/1000000000000000000000000000 -21341664582399480722881031/62500000000000000000000000
54422633314592780833447281/250000000000000000000000000 448198250595650665635094419/200000000000000000000000000 1798218362969924193604545591/1000000000000000000000000000 -1707039165396839998231857183/1000000000000000000000000000 -323015442749134303546017003/500000000000000000000000000 -287845112933216070865943973/250000000000000000000000000 216402777070909148204161941/125000000000000000000000000 -307376232158869046979850767/500000000000000000000000000 -1113119142383346444202707417/1000000000000000000000000000 425418320552308620623049597/500000000000000000000000000
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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 :
58459510279654705223917507/62500000000000000000000000 73200000319441157703598731/62500000000000000000000000 47305451491225749066849/195312500000000000000000 7271408163537606057153669/15625000000000000000000000 3501741279303101142975921/7812500000000000000000000 1547392165185295050756113/1953125000000000000000000
73200000319441157703598731/62500000000000000000000000 769680977038357338345696559/500000000000000000000000000 2592437750022452557597239/6250000000000000000000000 30452663984449418843298277/250000000000000000000000000 125729409324375268693186741/250000000000000000000000000 634248673905801258427596409/500000000000000000000000000
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--- 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 :
244693445916742862703418271/200000000000000000000000000 31567363008476432717980553/40000000000000000000000000 -15330647564487465450435151/125000000000000000000000000 -15043932995862971010906729/1000000000000000000000000000 -419688577844157263179440609/500000000000000000000000000 -357517675563498132126336921/500000000000000000000000000 74816718277629853873338179/500000000000000000000000000 -2106876656993306252054963/50000000000000000000000000 -127106340691541565905183829/125000000000000000000000000
31567363008476432717980553/40000000000000000000000000 161038684137046849476848471/200000000000000000000000000 -92217762474859659344362877/125000000000000000000000000 48307311062620809325968717/1000000000000000000000000000 -490660458887780625957933123/500000000000000000000000000 -395375205742377501088883067/500000000000000000000000000 144956212778267934184023853/500000000000000000000000000 18378984920843624321194583/50000000000000000000000000 -84767299957827009867284403/125000000000000000000000000
-15330647564487465450435151/125000000000000000000000000 -92217762474859659344362877/125000000000000000000000000 23080167304571251901342899/15625000000000000000000000 -15939061599012490510105419/125000000000000000000000000 66405295607707741341812253/62500000000000000000000000 50285077140299581820448789/62500000000000000000000000 -27819864571034216245999679/62500000000000000000000000 -27304581751920959744549213/31250000000000000000000000 2365219932254309768226729/15625000000000000000000000
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-127106340691541565905183829/125000000000000000000000000 -84767299957827009867284403/125000000000000000000000000 2365219932254309768226729/15625000000000000000000000 509291397478418920049853/62500000000000000000000000 45665364034095752644698729/62500000000000000000000000 38688618643748972209187799/62500000000000000000000000 -17360118359057734588275681/125000000000000000000000000 168384228131530990633713/31250000000000000000000000 26462371703828966830646481/31250000000000000000000000


--- 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 :
405153881247548080294927359/500000000000000000000000000 556822033618231449/1000000000000000000000000000 -95161769256113299090133739/1000000000000000000000000000 95161769256113299090133739/1000000000000000000000000000 47580885323020737009718641/500000000000000000000000000 -75519100013573938622285739/500000000000000000000000000 -31930189958270433/250000000000000000000000000
556822033618231449/1000000000000000000000000000 5216621546829890835884055519/1000000000000000000000000000 1792436069830095905741596287/500000000000000000000000000 -1792436069830095905741596287/500000000000000000000000000 1792436070578175981139162851/500000000000000000000000000 -12382466054936049/250000000000000000000000000 -480511907021092034041380099/500000000000000000000000000
-95161769256113299090133739/1000000000000000000000000000 1792436069830095905741596287/500000000000000000000000000 494941316999125067328815559/200000000000000000000000000 -494941316999125067328815559/200000000000000000000000000 613088792822664799760444553/250000000000000000000000000 8868890954344828632366339/500000000000000000000000000 -66041737273197353792245347/100000000000000000000000000
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--- 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 :
267353273359735363816244699/62500000000000000000000000 240401116047641052388220513/500000000000000000000000000 -59993812801420268681687423/250000000000000000000000000 -22626650474085666197498667/125000000000000000000000000 153395280272408803761924671/100000000000000000000000000 -135332636600996177291971971/250000000000000000000000000 -211240571395860399307472189/125000000000000000000000000 -82958950692593038330297053/100000000000000000000000000 27914532687636116159182611/500000000000000000000000000 40425780976537939819807/195312500000000000000000 -182057627207756816246801463/500000000000000000000000000 -177207330999839890197631191/500000000000000000000000000
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--- 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 :
2137984147993007777659534619/1000000000000000000000000000 1409387956568802593958982567/1000000000000000000000000000 -159227331686014276105567277/200000000000000000000000000 -356148506341422781248315851/1000000000000000000000000000
1409387956568802593958982567/1000000000000000000000000000 3303902114351898991268331089/1000000000000000000000000000 -1491599284650444946355828699/1000000000000000000000000000 -166021620073779406894120217/200000000000000000000000000
-159227331686014276105567277/200000000000000000000000000 -1491599284650444946355828699/1000000000000000000000000000 1297944853233262909211192017/1000000000000000000000000000 320526686701371622788989151/1000000000000000000000000000
-356148506341422781248315851/1000000000000000000000000000 -166021620073779406894120217/200000000000000000000000000 320526686701371622788989151/1000000000000000000000000000 970120794428041613538578953/1000000000000000000000000000


--- 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 :
240806314565910138573836863/500000000000000000000000000 9551718373867219843153069/500000000000000000000000000 290460445789721713241069/250000000000000000000000000 -174854279197858197361726361/500000000000000000000000000 -25015801690547878717309283/250000000000000000000000000 4334080672356514005673687/31250000000000000000000000
9551718373867219843153069/500000000000000000000000000 378874300111847727007447/500000000000000000000000000 11521277512728925751447/250000000000000000000000000 -6935693668889892900823643/500000000000000000000000000 -992265892509328075453529/250000000000000000000000000 171913755943636807406581/31250000000000000000000000
290460445789721713241069/250000000000000000000000000 11521277512728925751447/250000000000000000000000000 350353231892812495447/125000000000000000000000000 -210909136563149823759643/250000000000000000000000000 -30174046407055639461529/125000000000000000000000000 5227765752117464118581/15625000000000000000000000
-174854279197858197361726361/500000000000000000000000000 -6935693668889892900823643/500000000000000000000000000 -210909136563149823759643/250000000000000000000000000 126965187806295057950527567/500000000000000000000000000 18164473722553022570222101/250000000000000000000000000 -3147062622989662270199489/31250000000000000000000000
-25015801690547878717309283/250000000000000000000000000 -992265892509328075453529/250000000000000000000000000 -30174046407055639461529/125000000000000000000000000 18164473722553022570222101/250000000000000000000000000 2598728921826240247664503/125000000000000000000000000 -450239449932828174938267/15625000000000000000000000
4334080672356514005673687/31250000000000000000000000 171913755943636807406581/31250000000000000000000000 5227765752117464118581/15625000000000000000000000 -3147062622989662270199489/31250000000000000000000000 -450239449932828174938267/15625000000000000000000000 78005659064031432233263/1953125000000000000000000


--- 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 :
263189129175741191714373283/500000000000000000000000000 -263189129175741191714373283/500000000000000000000000000 -11211831031414751/125000000000000000000000000 6720193497737877775122351/250000000000000000000000000 -1680048252075891288270097/62500000000000000000000000 13440385581323789482685259/500000000000000000000000000 0/1 -5347367326736272172997273/500000000000000000000000000 5347367326736272172997273/500000000000000000000000000 94565345378967777/500000000000000000000000000
-263189129175741191714373283/500000000000000000000000000 263189129175741191714373283/500000000000000000000000000 11211831031414751/125000000000000000000000000 -6720193497737877775122351/250000000000000000000000000 1680048252075891288270097/62500000000000000000000000 -13440385581323789482685259/500000000000000000000000000 0/1 5347367326736272172997273/500000000000000000000000000 -5347367326736272172997273/500000000000000000000000000 -94565345378967777/500000000000000000000000000
-11211831031414751/125000000000000000000000000 11211831031414751/125000000000000000000000000 131594564606135135663966719/250000000000000000000000000 13440386095356891721935637/500000000000000000000000000 -1680048372339479903604979/62500000000000000000000000 -5376154412180852584716519/200000000000000000000000000 0/1 -29231127182899621/100000000000000000000000000 29231127182899621/100000000000000000000000000 -5347367263620481045445333/500000000000000000000000000
6720193497737877775122351/250000000000000000000000000 -6720193497737877775122351/250000000000000000000000000 13440386095356891721935637/500000000000000000000000000 408211679847645881767329519/250000000000000000000000000 7132526234230111603286897/20000000000000000000000000 -7771379034539064501626789/7812500000000000000000000 0/1 30345132493238623790332491/100000000000000000000000000 -30345132493238623790332491/100000000000000000000000000 151725662471508071274346181/500000000000000000000000000
-1680048252075891288270097/62500000000000000000000000 1680048252075891288270097/62500000000000000000000000 -1680048372339479903604979/62500000000000000000000000 7132526234230111603286897/20000000000000000000000000 51026459986447784598542597/31250000000000000000000000 -994736515823534965937437827/1000000000000000000000000000 0/1 -151725662046754932739445079/500000000000000000000000000 151725662046754932739445079/500000000000000000000000000 -30345132481117616317772269/100000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 362488999275022000362489/3906250000000000000000000 0/1 0/1 0/1
-5347367326736272172997273/500000000000000000000000000 5347367326736272172997273/500000000000000000000000000 -29231127182899621/100000000000000000000000000 30345132493238623790332491/100000000000000000000000000 -151725662046754932739445079/500000000000000000000000000 2427610591225108585241957/8000000000000000000000000 0/1 145559691260071379885594537/500000000000000000000000000 -145559691260071379885594537/500000000000000000000000000 27299046125916529/100000000000000000000000000
5347367326736272172997273/500000000000000000000000000 -5347367326736272172997273/500000000000000000000000000 29231127182899621/100000000000000000000000000 -30345132493238623790332491/100000000000000000000000000 151725662046754932739445079/500000000000000000000000000 -2427610591225108585241957/8000000000000000000000000 0/1 -145559691260071379885594537/500000000000000000000000000 145559691260071379885594537/500000000000000000000000000 -27299046125916529/100000000000000000000000000
94565345378967777/500000000000000000000000000 -94565345378967777/500000000000000000000000000 -5347367263620481045445333/500000000000000000000000000 151725662471508071274346181/500000000000000000000000000 -30345132481117616317772269/100000000000000000000000000 -303451324309369647983086889/1000000000000000000000000000 0/1 27299046125916529/100000000000000000000000000 -27299046125916529/100000000000000000000000000 145559691259268390010894699/500000000000000000000000000


--- Term 18 ---

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

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

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

Matrix :
166509467571281197213559619/1000000000000000000000000000 17384606895206974437472827/250000000000000000000000000 -30042534580466620107357819/1000000000000000000000000000 30074990390816831189494593/500000000000000000000000000 -77491839651081778662858111/1000000000000000000000000000 -457906216604429430724722249/1000000000000000000000000000
17384606895206974437472827/250000000000000000000000000 29040948727699056982915731/1000000000000000000000000000 -12546497473859623922594333/1000000000000000000000000000 25120103640840910126076077/1000000000000000000000000000 -16181244100654640404526151/500000000000000000000000000 -191232839469183355948809843/1000000000000000000000000000
-30042534580466620107357819/1000000000000000000000000000 -12546497473859623922594333/1000000000000000000000000000 22425351043093698693837647/500000000000000000000000000 -10852583372199651208052761/1000000000000000000000000000 13981494895457252652949661/1000000000000000000000000000 41308952405914021969516387/500000000000000000000000000
30074990390816831189494593/500000000000000000000000000 25120103640840910126076077/1000000000000000000000000000 -10852583372199651208052761/1000000000000000000000000000 21728615440332587741469759/1000000000000000000000000000 -3499149878482598635884773/125000000000000000000000000 -165414318658823893054615231/1000000000000000000000000000
-77491839651081778662858111/1000000000000000000000000000 -16181244100654640404526151/500000000000000000000000000 13981494895457252652949661/1000000000000000000000000000 -3499149878482598635884773/125000000000000000000000000 36063926574855512631660759/1000000000000000000000000000 213104970125218787926419831/1000000000000000000000000000
-457906216604429430724722249/1000000000000000000000000000 -191232839469183355948809843/1000000000000000000000000000 41308952405914021969516387/500000000000000000000000000 -165414318658823893054615231/1000000000000000000000000000 213104970125218787926419831/1000000000000000000000000000 629628171488871476833948227/500000000000000000000000000


--- 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 :
89390478240753881004251299/1000000000000000000000000000 -89390478240753881004251299/1000000000000000000000000000 45700270292475211/500000000000000000000000000 -139107999387771951142319/1953125000000000000000000 14244659081912501580650279/200000000000000000000000000 -14244658925054137824707059/200000000000000000000000000 0/1 -70653131011443093471794557/125000000000000000000000000 70653131011443093471794557/125000000000000000000000000 -1977382346445086283/1000000000000000000000000000
-89390478240753881004251299/1000000000000000000000000000 89390478240753881004251299/1000000000000000000000000000 -45700270292475211/500000000000000000000000000 139107999387771951142319/1953125000000000000000000 -14244659081912501580650279/200000000000000000000000000 14244658925054137824707059/200000000000000000000000000 0/1 70653131011443093471794557/125000000000000000000000000 -70653131011443093471794557/125000000000000000000000000 1977382346445086283/1000000000000000000000000000
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0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
-70653131011443093471794557/125000000000000000000000000 70653131011443093471794557/125000000000000000000000000 1265329596040025359/1000000000000000000000000000 450352109823224409518533397/1000000000000000000000000000 -450352108282076965153128663/1000000000000000000000000000 225176053633693179471159941/500000000000000000000000000 0/1 3573975229550072101501644883/1000000000000000000000000000 -3573975229550072101501644883/1000000000000000000000000000 424020458442351419/500000000000000000000000000
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-1977382346445086283/1000000000000000000000000000 1977382346445086283/1000000000000000000000000000 -70653131090471410108086031/125000000000000000000000000 56294013663115666393704933/125000000000000000000000000 -450352107395859064646448383/1000000000000000000000000000 -225176054187406330629066597/500000000000000000000000000 0/1 424020458442351419/500000000000000000000000000 -424020458442351419/500000000000000000000000000 89349380753940092044244659/25000000000000000000000000

