#Density : 7910440856244517152026000627/48000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 7, 8, 9, 10, 11, 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 :
15175482908543126584083973/20000000000000000000000000 901798740459291602380681/12500000000000000000000000 -138884863902735797114389/2500000000000000000000000 -45271404872870098039075373/100000000000000000000000000 847233820019579899095043/6250000000000000000000000 -7031984385374590147574561/100000000000000000000000000
901798740459291602380681/12500000000000000000000000 53589132760720651080157/7812500000000000000000000 -8253193396952079868633/1562500000000000000000000 -2690240313222179384086481/62500000000000000000000000 50346627937490785981471/3906250000000000000000000 -417873665034426257554517/62500000000000000000000000
-138884863902735797114389/2500000000000000000000000 -8253193396952079868633/1562500000000000000000000 1271063697776799363877/312500000000000000000000 414320449790406452134589/12500000000000000000000000 -7753819400433870134899/781250000000000000000000 64356185580039113343473/12500000000000000000000000
-45271404872870098039075373/100000000000000000000000000 -2690240313222179384086481/62500000000000000000000000 414320449790406452134589/12500000000000000000000000 135053369406093062590586773/500000000000000000000000000 -2527462586808510999612443/31250000000000000000000000 20977771454691428948664361/500000000000000000000000000
847233820019579899095043/6250000000000000000000000 50346627937490785981471/3906250000000000000000000 -7753819400433870134899/781250000000000000000000 -2527462586808510999612443/31250000000000000000000000 47300316577133589167413/1953125000000000000000000 -392589483250316208084551/31250000000000000000000000
-7031984385374590147574561/100000000000000000000000000 -417873665034426257554517/62500000000000000000000000 64356185580039113343473/12500000000000000000000000 20977771454691428948664361/500000000000000000000000000 -392589483250316208084551/31250000000000000000000000 3258466613165539504241677/500000000000000000000000000


--- 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 :
3258466613165539504241677/500000000000000000000000000 20977771454691428948664361/500000000000000000000000000 -392589483250316208084551/31250000000000000000000000 -417873665034426257554517/62500000000000000000000000 64356185580039113343473/12500000000000000000000000 -7031984385374590147574561/100000000000000000000000000
20977771454691428948664361/500000000000000000000000000 135053369406093062590586773/500000000000000000000000000 -2527462586808510999612443/31250000000000000000000000 -2690240313222179384086481/62500000000000000000000000 414320449790406452134589/12500000000000000000000000 -45271404872870098039075373/100000000000000000000000000
-392589483250316208084551/31250000000000000000000000 -2527462586808510999612443/31250000000000000000000000 47300316577133589167413/1953125000000000000000000 50346627937490785981471/3906250000000000000000000 -7753819400433870134899/781250000000000000000000 847233820019579899095043/6250000000000000000000000
-417873665034426257554517/62500000000000000000000000 -2690240313222179384086481/62500000000000000000000000 50346627937490785981471/3906250000000000000000000 53589132760720651080157/7812500000000000000000000 -8253193396952079868633/1562500000000000000000000 901798740459291602380681/12500000000000000000000000
64356185580039113343473/12500000000000000000000000 414320449790406452134589/12500000000000000000000000 -7753819400433870134899/781250000000000000000000 -8253193396952079868633/1562500000000000000000000 1271063697776799363877/312500000000000000000000 -138884863902735797114389/2500000000000000000000000
-7031984385374590147574561/100000000000000000000000000 -45271404872870098039075373/100000000000000000000000000 847233820019579899095043/6250000000000000000000000 901798740459291602380681/12500000000000000000000000 -138884863902735797114389/2500000000000000000000000 15175482908543126584083973/20000000000000000000000000


--- 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 :
9888405403259907687027011/31250000000000000000000000 44649130925321354574051663/200000000000000000000000000 46684001444099566602472949/1000000000000000000000000000 251252327121941643799758483/500000000000000000000000000 -167336489480013135552336253/1000000000000000000000000000 19158097540840220669638619/250000000000000000000000000 -11781802302502463889929071/200000000000000000000000000 -25447401913786237618968931/200000000000000000000000000 -102935338667741690611497881/250000000000000000000000000 -28694397315353933911415213/200000000000000000000000000 -329773151788641490605981877/500000000000000000000000000 56406389747461296114780111/100000000000000000000000000
44649130925321354574051663/200000000000000000000000000 36945493099451568376796229/62500000000000000000000000 -66680545904642557139841681/250000000000000000000000000 722768379234677448292871329/1000000000000000000000000000 -113752353446128604528097391/200000000000000000000000000 -15930468152303864073796979/125000000000000000000000000 26512981724094320214240197/250000000000000000000000000 242967181483321886964703989/1000000000000000000000000000 -219068691188547426931850687/500000000000000000000000000 3886215394005472326816491/1000000000000000000000000000 -1281922224481124798710159927/1000000000000000000000000000 1072493802067997326243671897/1000000000000000000000000000
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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 :
992561940362698663801981777/1000000000000000000000000000 539144973402984648359807391/500000000000000000000000000 1140132149734331118141908663/1000000000000000000000000000 357727220373324515499221509/500000000000000000000000000
539144973402984648359807391/500000000000000000000000000 585711159223950691649089431/500000000000000000000000000 309651464834417948907991977/250000000000000000000000000 388624275787958381465616369/500000000000000000000000000
1140132149734331118141908663/1000000000000000000000000000 309651464834417948907991977/250000000000000000000000000 1309642518010333583787875227/1000000000000000000000000000 205456348818125181546190813/250000000000000000000000000
357727220373324515499221509/500000000000000000000000000 388624275787958381465616369/500000000000000000000000000 205456348818125181546190813/250000000000000000000000000 1345878115401851710525857191/500000000000000000000000000


--- 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 :
724124389109380267053507653/1000000000000000000000000000 592334970191187084119411431/1000000000000000000000000000 680237144885993341755828881/1000000000000000000000000000 -381752971170249912371864367/1000000000000000000000000000 -93010250064165111383407433/1000000000000000000000000000 -21860266302878511543002897/500000000000000000000000000 222340167396848533800906919/1000000000000000000000000000 -6191639169496298170793419/10000000000000000000000000 -746842351279149577737451131/1000000000000000000000000000 185163914293523159031829991/1000000000000000000000000000
592334970191187084119411431/1000000000000000000000000000 177868147912926826516775729/62500000000000000000000000 637497936273543032708469927/1000000000000000000000000000 84463744013281846458772521/1000000000000000000000000000 365627886440696962914231419/1000000000000000000000000000 -8672407346115646836607291/1000000000000000000000000000 -78496974644262202865161237/125000000000000000000000000 -91550575725930697811946683/125000000000000000000000000 -3343345605616087537554522951/1000000000000000000000000000 222340167396848533800906919/1000000000000000000000000000
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185163914293523159031829991/1000000000000000000000000000 222340167396848533800906919/1000000000000000000000000000 680237144885993341755828881/1000000000000000000000000000 -746842351279149577737451131/1000000000000000000000000000 -93010250064165111383407433/1000000000000000000000000000 -21860266302878511543002897/500000000000000000000000000 592334970191187084119411431/1000000000000000000000000000 -6191639169496298170793419/10000000000000000000000000 -381752971170249912371864367/1000000000000000000000000000 724124389109380267053507653/1000000000000000000000000000


--- 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 :
137676493494044979351402557/250000000000000000000000000 23398116072771241815639347/62500000000000000000000000 -16139699952087639736434981/50000000000000000000000000 3408392503994327673171919/15625000000000000000000000 -69999021300900007797286217/250000000000000000000000000 -348534737529350164009791293/250000000000000000000000000
23398116072771241815639347/62500000000000000000000000 3803262541249642004597660423/1000000000000000000000000000 30399272165521632517339791/25000000000000000000000000 14512476739245917446247837/31250000000000000000000000 -348534737529350164009791293/250000000000000000000000000 38226248308171856459067217/1000000000000000000000000000
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3408392503994327673171919/15625000000000000000000000 14512476739245917446247837/31250000000000000000000000 0/1 23282079292629294234317/39062500000000000000000 -3408392503994327673171919/15625000000000000000000000 -14512476739245917446247837/31250000000000000000000000
-69999021300900007797286217/250000000000000000000000000 -348534737529350164009791293/250000000000000000000000000 -16139699952087639736434981/50000000000000000000000000 -3408392503994327673171919/15625000000000000000000000 137676493494044979351402557/250000000000000000000000000 23398116072771241815639347/62500000000000000000000000
-348534737529350164009791293/250000000000000000000000000 38226248308171856459067217/1000000000000000000000000000 30399272165521632517339791/25000000000000000000000000 -14512476739245917446247837/31250000000000000000000000 23398116072771241815639347/62500000000000000000000000 3803262541249642004597660423/1000000000000000000000000000


--- 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 :
3303704744485598802820867/3906250000000000000000000 42873939891316794606259167/100000000000000000000000000 -577086267493728025365777397/500000000000000000000000000 -339195364776474799079823/125000000000000000000000000 58566286322130447819189/2500000000000000000000000 591759600163343587943289253/500000000000000000000000000 -14422863384609051529901121/500000000000000000000000000 -44470512157061269926582357/100000000000000000000000000 -210142917561146014136333947/250000000000000000000000000
42873939891316794606259167/100000000000000000000000000 250824323852582696667724483/1000000000000000000000000000 -81333564687252998170265369/125000000000000000000000000 523060316860379552405301/62500000000000000000000000 -4515642566105740844325723/62500000000000000000000000 547031011608548471269327/976562500000000000000000 44481902414945123549548563/500000000000000000000000000 -201584051772463686948138007/1000000000000000000000000000 -44470512157061269926582357/100000000000000000000000000
-577086267493728025365777397/500000000000000000000000000 -81333564687252998170265369/125000000000000000000000000 1051199819948268565101259753/500000000000000000000000000 -1922878958705871239954967/125000000000000000000000000 2075055636728396556445923/15625000000000000000000000 -968017542695571878375133997/500000000000000000000000000 -31938430199610872218857/195312500000000000000000 547031011608548471269327/976562500000000000000000 591759600163343587943289253/500000000000000000000000000
-339195364776474799079823/125000000000000000000000000 523060316860379552405301/62500000000000000000000000 -1922878958705871239954967/125000000000000000000000000 589544252202427965159189/12500000000000000000000000 -383743359711934123721409/15625000000000000000000000 -1922878958705871239954967/125000000000000000000000000 3780112004695048285928967/125000000000000000000000000 523060316860379552405301/62500000000000000000000000 -339195364776474799079823/125000000000000000000000000
58566286322130447819189/2500000000000000000000000 -4515642566105740844325723/62500000000000000000000000 2075055636728396556445923/15625000000000000000000000 -383743359711934123721409/15625000000000000000000000 1656451268315311601452941/7812500000000000000000000 2075055636728396556445923/15625000000000000000000000 -16317080591225073960488121/62500000000000000000000000 -4515642566105740844325723/62500000000000000000000000 58566286322130447819189/2500000000000000000000000
591759600163343587943289253/500000000000000000000000000 547031011608548471269327/976562500000000000000000 -968017542695571878375133997/500000000000000000000000000 -1922878958705871239954967/125000000000000000000000000 2075055636728396556445923/15625000000000000000000000 1051199819948268565101259753/500000000000000000000000000 -31938430199610872218857/195312500000000000000000 -81333564687252998170265369/125000000000000000000000000 -577086267493728025365777397/500000000000000000000000000
-14422863384609051529901121/500000000000000000000000000 44481902414945123549548563/500000000000000000000000000 -31938430199610872218857/195312500000000000000000 3780112004695048285928967/125000000000000000000000000 -16317080591225073960488121/62500000000000000000000000 -31938430199610872218857/195312500000000000000000 160733445114458319942282477/500000000000000000000000000 44481902414945123549548563/500000000000000000000000000 -14422863384609051529901121/500000000000000000000000000
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-210142917561146014136333947/250000000000000000000000000 -44470512157061269926582357/100000000000000000000000000 591759600163343587943289253/500000000000000000000000000 -339195364776474799079823/125000000000000000000000000 58566286322130447819189/2500000000000000000000000 -577086267493728025365777397/500000000000000000000000000 -14422863384609051529901121/500000000000000000000000000 42873939891316794606259167/100000000000000000000000000 3303704744485598802820867/3906250000000000000000000


--- 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 :
175484106250409684213403339/250000000000000000000000000 215557990129062913/1000000000000000000000000000 -148808153012444785411165379/1000000000000000000000000000 148808153509662662261998371/1000000000000000000000000000 74404076577006505888164423/500000000000000000000000000 152791538950306505527348523/1000000000000000000000000000 323628603361955053/500000000000000000000000000
215557990129062913/1000000000000000000000000000 33258360078334058847250389/1000000000000000000000000000 32391291507305178136951477/1000000000000000000000000000 -32391289484567999741400253/1000000000000000000000000000 4048911200900511722399333/125000000000000000000000000 63174042732172619/1000000000000000000000000000 152791538950306505527348523/1000000000000000000000000000
-148808153012444785411165379/1000000000000000000000000000 32391291507305178136951477/1000000000000000000000000000 23574986056250338641917709/20000000000000000000000000 5591602819931884503260119/20000000000000000000000000 -182291180693835614422529403/250000000000000000000000000 -32391289484567999741400253/1000000000000000000000000000 148808153509662662261998371/1000000000000000000000000000
148808153509662662261998371/1000000000000000000000000000 -32391289484567999741400253/1000000000000000000000000000 5591602819931884503260119/20000000000000000000000000 23574986056250338641917709/20000000000000000000000000 -182291180693835614422529403/250000000000000000000000000 32391291507305178136951477/1000000000000000000000000000 -148808153012444785411165379/1000000000000000000000000000
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152791538950306505527348523/1000000000000000000000000000 63174042732172619/1000000000000000000000000000 -32391289484567999741400253/1000000000000000000000000000 32391291507305178136951477/1000000000000000000000000000 4048911200900511722399333/125000000000000000000000000 33258360078334058847250389/1000000000000000000000000000 215557990129062913/1000000000000000000000000000
323628603361955053/500000000000000000000000000 152791538950306505527348523/1000000000000000000000000000 148808153509662662261998371/1000000000000000000000000000 -148808153012444785411165379/1000000000000000000000000000 74404076577006505888164423/500000000000000000000000000 215557990129062913/1000000000000000000000000000 175484106250409684213403339/250000000000000000000000000


--- 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 :
7895467015353074692172119437/1000000000000000000000000000 61951341871362673139442697/100000000000000000000000000 -122204404878881609105578229/250000000000000000000000000 2204953657595854557926666437/500000000000000000000000000 54773381526557483975769141/250000000000000000000000000 1072493802067997326243671897/1000000000000000000000000000 -2797050265111687504156887601/500000000000000000000000000 -1539164145527331700715888969/500000000000000000000000000 -3210666306638309753094209663/1000000000000000000000000000 -302815788156545122651151121/500000000000000000000000000 421406822142675414243666149/500000000000000000000000000 56406389747461296114780111/100000000000000000000000000
61951341871362673139442697/100000000000000000000000000 390409524940242618554926963/500000000000000000000000000 -32382672128303394236439223/125000000000000000000000000 35293357325290505880790613/100000000000000000000000000 -44871335287989802706083281/250000000000000000000000000 -15930468152303864073796979/125000000000000000000000000 -11519198610473763479076979/50000000000000000000000000 -31063635030538707077740511/250000000000000000000000000 -166161473536299681080306821/500000000000000000000000000 13444870513296573016370463/125000000000000000000000000 -24866545410063786869947657/250000000000000000000000000 19158097540840220669638619/250000000000000000000000000
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56406389747461296114780111/100000000000000000000000000 19158097540840220669638619/250000000000000000000000000 -28694397315353933911415213/200000000000000000000000000 251252327121941643799758483/500000000000000000000000000 -25447401913786237618968931/200000000000000000000000000 44649130925321354574051663/200000000000000000000000000 -329773151788641490605981877/500000000000000000000000000 -167336489480013135552336253/1000000000000000000000000000 -102935338667741690611497881/250000000000000000000000000 46684001444099566602472949/1000000000000000000000000000 -11781802302502463889929071/200000000000000000000000000 9888405403259907687027011/31250000000000000000000000


--- 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 :
1345878115401851710525857191/500000000000000000000000000 388624275787958381465616369/500000000000000000000000000 205456348818125181546190813/250000000000000000000000000 357727220373324515499221509/500000000000000000000000000
388624275787958381465616369/500000000000000000000000000 585711159223950691649089431/500000000000000000000000000 309651464834417948907991977/250000000000000000000000000 539144973402984648359807391/500000000000000000000000000
205456348818125181546190813/250000000000000000000000000 309651464834417948907991977/250000000000000000000000000 1309642518010333583787875227/1000000000000000000000000000 1140132149734331118141908663/1000000000000000000000000000
357727220373324515499221509/500000000000000000000000000 539144973402984648359807391/500000000000000000000000000 1140132149734331118141908663/1000000000000000000000000000 992561940362698663801981777/1000000000000000000000000000


--- 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 :
2415954090794249145775459139/1000000000000000000000000000 -169734970671066147045931433/100000000000000000000000000 74167455342830203436818033/500000000000000000000000000 38166964141401080259401/8000000000000000000000000 70975169371594263925481687/500000000000000000000000000 -3597332961474632776489731/1000000000000000000000000000
-169734970671066147045931433/100000000000000000000000000 279693966288710265601901213/200000000000000000000000000 -4982413857703231940540173/100000000000000000000000000 9388713969929603834657659/500000000000000000000000000 -34600662485079247258980461/200000000000000000000000000 -44508587320003344867275917/250000000000000000000000000
74167455342830203436818033/500000000000000000000000000 -4982413857703231940540173/100000000000000000000000000 475812901319948585353203/7812500000000000000000000 3068092054464669500790147/500000000000000000000000000 -5316432628252241089525227/500000000000000000000000000 -23949233317455801040985839/500000000000000000000000000
38166964141401080259401/8000000000000000000000000 9388713969929603834657659/500000000000000000000000000 3068092054464669500790147/500000000000000000000000000 2386831104244232871021451/1000000000000000000000000000 -3795909665024821491726697/500000000000000000000000000 -3881075443665268242674649/200000000000000000000000000
70975169371594263925481687/500000000000000000000000000 -34600662485079247258980461/200000000000000000000000000 -5316432628252241089525227/500000000000000000000000000 -3795909665024821491726697/500000000000000000000000000 34406736515244277156251049/1000000000000000000000000000 1000322522371398189587307/15625000000000000000000000
-3597332961474632776489731/1000000000000000000000000000 -44508587320003344867275917/250000000000000000000000000 -23949233317455801040985839/500000000000000000000000000 -3881075443665268242674649/200000000000000000000000000 1000322522371398189587307/15625000000000000000000000 158283915298191733721265623/1000000000000000000000000000


--- 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 :
6597860750644494947643141/1000000000000000000000000000 -6597860750644494947643141/1000000000000000000000000000 -5102567682176631/1000000000000000000000000000 -1083051264248048873737269/100000000000000000000000000 10830512636772865342207713/1000000000000000000000000000 -2707628151862709669355147/250000000000000000000000000 0/1 400337951036414673735201/31250000000000000000000000 -400337951036414673735201/31250000000000000000000000 2003296698782511/200000000000000000000000000
-6597860750644494947643141/1000000000000000000000000000 6597860750644494947643141/1000000000000000000000000000 5102567682176631/1000000000000000000000000000 1083051264248048873737269/100000000000000000000000000 -10830512636772865342207713/1000000000000000000000000000 2707628151862709669355147/250000000000000000000000000 0/1 -400337951036414673735201/31250000000000000000000000 400337951036414673735201/31250000000000000000000000 -2003296698782511/200000000000000000000000000
-5102567682176631/1000000000000000000000000000 5102567682176631/1000000000000000000000000000 824732580421586899173843/125000000000000000000000000 -1353814069121596803165057/125000000000000000000000000 10830512682844751284579849/1000000000000000000000000000 10830512667497153278479971/1000000000000000000000000000 0/1 -16334078446307007/1000000000000000000000000000 16334078446307007/1000000000000000000000000000 12810814223895037119564223/1000000000000000000000000000
-1083051264248048873737269/100000000000000000000000000 1083051264248048873737269/100000000000000000000000000 -1353814069121596803165057/125000000000000000000000000 195682832354974639782797311/500000000000000000000000000 -100929214145379441301464969/500000000000000000000000000 -23688404650529433939666471/250000000000000000000000000 0/1 -1051459657000519843262007/50000000000000000000000000 1051459657000519843262007/50000000000000000000000000 -420583866169201755848157/20000000000000000000000000
10830512636772865342207713/1000000000000000000000000000 -10830512636772865342207713/1000000000000000000000000000 10830512682844751284579849/1000000000000000000000000000 -100929214145379441301464969/500000000000000000000000000 39136566502731350123121881/100000000000000000000000000 -23688404583771501580290619/250000000000000000000000000 0/1 4205838654036470950786627/200000000000000000000000000 -4205838654036470950786627/200000000000000000000000000 5257298321813916484579319/250000000000000000000000000
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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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-400337951036414673735201/31250000000000000000000000 400337951036414673735201/31250000000000000000000000 16334078446307007/1000000000000000000000000000 1051459657000519843262007/50000000000000000000000000 -4205838654036470950786627/200000000000000000000000000 21029193349011282984640013/1000000000000000000000000000 0/1 -12437134750454095914160287/500000000000000000000000000 12437134750454095914160287/500000000000000000000000000 -6970305635196959/1000000000000000000000000000
2003296698782511/200000000000000000000000000 -2003296698782511/200000000000000000000000000 12810814223895037119564223/1000000000000000000000000000 -420583866169201755848157/20000000000000000000000000 5257298321813916484579319/250000000000000000000000000 5257298357458009003261439/250000000000000000000000000 0/1 6970305635196959/1000000000000000000000000000 -6970305635196959/1000000000000000000000000000 12437134546332133381155709/500000000000000000000000000


--- 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 :
158283915298191733721265623/1000000000000000000000000000 1000322522371398189587307/15625000000000000000000000 -23949233317455801040985839/500000000000000000000000000 -3881075443665268242674649/200000000000000000000000000 -44508587320003344867275917/250000000000000000000000000 -3597332961474632776489731/1000000000000000000000000000
1000322522371398189587307/15625000000000000000000000 34406736515244277156251049/1000000000000000000000000000 -5316432628252241089525227/500000000000000000000000000 -3795909665024821491726697/500000000000000000000000000 -34600662485079247258980461/200000000000000000000000000 70975169371594263925481687/500000000000000000000000000
-23949233317455801040985839/500000000000000000000000000 -5316432628252241089525227/500000000000000000000000000 475812901319948585353203/7812500000000000000000000 3068092054464669500790147/500000000000000000000000000 -4982413857703231940540173/100000000000000000000000000 74167455342830203436818033/500000000000000000000000000
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-3597332961474632776489731/1000000000000000000000000000 70975169371594263925481687/500000000000000000000000000 74167455342830203436818033/500000000000000000000000000 38166964141401080259401/8000000000000000000000000 -169734970671066147045931433/100000000000000000000000000 2415954090794249145775459139/1000000000000000000000000000


--- 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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-12437134750454095914160287/500000000000000000000000000 12437134750454095914160287/500000000000000000000000000 -6970305635196959/1000000000000000000000000000 1051459657000519843262007/50000000000000000000000000 -4205838654036470950786627/200000000000000000000000000 21029193349011282984640013/1000000000000000000000000000 0/1 -400337951036414673735201/31250000000000000000000000 400337951036414673735201/31250000000000000000000000 16334078446307007/1000000000000000000000000000
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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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-400337951036414673735201/31250000000000000000000000 400337951036414673735201/31250000000000000000000000 -2003296698782511/200000000000000000000000000 1083051264248048873737269/100000000000000000000000000 -10830512636772865342207713/1000000000000000000000000000 2707628151862709669355147/250000000000000000000000000 0/1 -6597860750644494947643141/1000000000000000000000000000 6597860750644494947643141/1000000000000000000000000000 5102567682176631/1000000000000000000000000000
-16334078446307007/1000000000000000000000000000 16334078446307007/1000000000000000000000000000 12810814223895037119564223/1000000000000000000000000000 -1353814069121596803165057/125000000000000000000000000 10830512682844751284579849/1000000000000000000000000000 10830512667497153278479971/1000000000000000000000000000 0/1 -5102567682176631/1000000000000000000000000000 5102567682176631/1000000000000000000000000000 824732580421586899173843/125000000000000000000000000

