#Density : 81/256

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {5, 6, 8, 9, 10, 11, 12, 15}
Number of terms              : 16


--- Term 1 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 3

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

Basis :
B1 : 3703(F1)+396(F2)-1449(F3)+1600(F4)-503(F5)+297(F6)
B2 : 11569(F1)+36180(F2)-4527(F3)-31400(F4)-74369(F5)+27135(F6)
B3 : 2277(F1)-14316(F2)-891(F3)-3384(F4)-9045(F5)+28331(F6)

Matrix :
881919326775730172407/7193870219553268280832000000 15121373/3434194404000000 -1174633/1526308624000000
15121373/3434194404000000 63905327979573984533/383673078376174308311040000000 -2165025158964203630055464527189603/77028504167222031246740509935649996800000000
-1174633/1526308624000000 -2165025158964203630055464527189603/77028504167222031246740509935649996800000000 8549011057083616776418447186697/155613139731761679286344464516464640000000


--- Term 2 ---

Dimension of type  : 0
Dimension of flags : 2
Number of flags    : 6
Matrix dimension   : 3

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

Basis :
B1 : 28331(F1)-3384(F2)-9045(F3)-14316(F4)-891(F5)+2277(F6)
B2 : 27135(F1)-31400(F2)-74369(F3)+36180(F4)-4527(F5)+11569(F6)
B3 : 297(F1)+1600(F2)-503(F3)+396(F4)-1449(F5)+3703(F6)

Matrix :
534310329372557089741874760357/9725821233235104955396529032279040000000 -270628814771133131523722100485119/9628563020902753905842563741956249600000000 -1174633/1526308624000000
-270628814771133131523722100485119/9628563020902753905842563741956249600000000 2288021/13736777616000000 15121373/3434194404000000
-1174633/1526308624000000 15121373/3434194404000000 168403447/1373677761600000


--- Term 3 ---

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

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

Basis :
B1 : 3(F1)-(F2)-(F3)-(F4)
B2 : 6(F1)+9(F2)+9(F3)-13(F4)

Matrix :
65943/15125000 -19450284597635173/230425430554880000000
-19450284597635173/230425430554880000000 8137/60500000


--- Term 4 ---

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

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

Basis :
B1 : 9(F1)-13(F2)-13(F3)+6(F4)
B2 : (F1)+(F2)+(F3)-3(F4)

Matrix :
8137/60500000 20903685236630353/46085086110976000000
20903685236630353/46085086110976000000 706239/121000000


--- Term 5 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 11

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  : (F4)+(F6)
B4  : (F7)
B5  : (F3)+(F5)-3(F8)
B6  : (F9)
B7  : (F10)
B8  : (F11)+(F13)
B9  : (F12)+(F14)
B10 : (F15)
B11 : (F16)

Matrix :
199739/500000 -14687/100000 5441/1000000 37493/200000 -3789/80000 619/40000 -243293/1000000 -8437/500000 -1739/125000 -229461/1000000 -50923/250000
-14687/100000 423793/1000000 -581/1000000 -72999/250000 -382761/1250000 -17089/100000 -103599/1000000 95763/1000000 2809/500000 84889/500000 -26169/500000
5441/1000000 -581/1000000 740403/1000000 37691/500000 -456903/1000000 -153957/1000000 -343741/500000 -1597/40000 -261361/1000000 58757/1000000 -163231/1000000
37493/200000 -72999/250000 37691/500000 910901/1000000 7833/312500 21983/500000 -170001/250000 -50991/1000000 -86377/1000000 -209701/1000000 -176189/1000000
-3789/80000 -382761/1250000 -456903/1000000 7833/312500 18599031/12500000 175167/400000 729033/500000 -2117001/5000000 75957/500000 -2657721/10000000 5925693/10000000
619/40000 -17089/100000 -153957/1000000 21983/500000 175167/400000 837457/1000000 31047/250000 -150427/1000000 1431/1000000 -171303/1000000 -21951/500000
-243293/1000000 -103599/1000000 -343741/500000 -170001/250000 729033/500000 31047/250000 1874201/500000 -92357/250000 72519/500000 -72251/1000000 460673/1000000
-8437/500000 95763/1000000 -1597/40000 -50991/1000000 -2117001/5000000 -150427/1000000 -92357/250000 153447/250000 -189149/1000000 69667/1000000 -31911/125000
-1739/125000 2809/500000 -261361/1000000 -86377/1000000 75957/500000 1431/1000000 72519/500000 -189149/1000000 209887/200000 -597/50000 -133331/1000000
-229461/1000000 84889/500000 58757/1000000 -209701/1000000 -2657721/10000000 -171303/1000000 -72251/1000000 69667/1000000 -597/50000 95421/250000 -12477/500000
-50923/250000 -26169/500000 -163231/1000000 -176189/1000000 5925693/10000000 -21951/500000 460673/1000000 -31911/125000 -133331/1000000 -12477/500000 87359/50000


--- Term 6 ---

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 : (F1)-(F3)
B2 : (F2)-(F4)
B3 : (F5)-(F7)
B4 : (F6)-(F8)

Matrix :
1680806034889714405933418832869115113/481360375504266694541536738725000000 1073653/1000000 40663/25000 -222617/500000
1073653/1000000 394403/100000 21179/250000 -5781/500000
40663/25000 21179/250000 1274427/500000 -421671/1000000
-222617/500000 -5781/500000 -421671/1000000 128211/62500


--- Term 7 ---

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

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 : 3(F4)-(F7)-(F10)-(F13)
B4 : (F5)+(F9)
B5 : (F6)+(F11)
B6 : (F8)+(F12)
B7 : 6(F4)+9(F7)+9(F10)-13(F13)
B8 : (F14)+(F15)
B9 : (F16)

Matrix :
7923/6250 -62353/200000 289881/11000000 482363/1000000 -65533/1000000 220157/1000000 172157/11000000 -176657/250000 -351407/500000
-62353/200000 46839/40000 733917/1375000 -728947/1000000 -526677/1000000 68601/200000 -724837/11000000 -64619/200000 220157/1000000
289881/11000000 733917/1375000 22452363/30250000 -5623131/11000000 -1123203/2200000 733917/1375000 -12875139/242000000 -5623131/11000000 289881/11000000
482363/1000000 -728947/1000000 -5623131/11000000 828781/500000 171837/1000000 -64619/200000 472209/11000000 -342377/1000000 -176657/250000
-65533/1000000 -526677/1000000 -1123203/2200000 171837/1000000 172221/100000 -526677/1000000 827/31250 171837/1000000 -65533/1000000
220157/1000000 68601/200000 733917/1375000 -64619/200000 -526677/1000000 46839/40000 -724837/11000000 -728947/1000000 -62353/200000
172157/11000000 -724837/11000000 -12875139/242000000 472209/11000000 827/31250 -724837/11000000 6756227/484000000 472209/11000000 172157/11000000
-176657/250000 -64619/200000 -5623131/11000000 -342377/1000000 171837/1000000 -728947/1000000 472209/11000000 828781/500000 482363/1000000
-351407/500000 220157/1000000 289881/11000000 -176657/250000 -65533/1000000 -62353/200000 172157/11000000 482363/1000000 7923/6250


--- Term 8 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 10
Matrix dimension   : 5

Flags :
F1  : {2, 3, 4}
F2  : {2, 3, 5}
F3  : {2, 3, 6}
F4  : {2, 3, 4, 6}
F5  : {2, 3, 4, 5, 6}
F6  : {2, 3, 7}
F7  : {2, 3, 5, 7}
F8  : {2, 3, 4, 5, 7}
F9  : {2, 3, 4, 6, 7}
F10 : {2, 3, 5, 6, 7}

Basis :
B1 : (F1)-(F2)
B2 : (F3)-(F6)
B3 : (F4)-(F7)
B4 : (F5)-(F8)
B5 : (F9)-(F10)

Matrix :
2521587/1000000 -96913/250000 -74783/500000 -317013/250000 13671/40000
-96913/250000 531909/500000 -13883/200000 13671/40000 -91537/500000
-74783/500000 -13883/200000 414479/200000 -74783/500000 -13883/200000
-317013/250000 13671/40000 -74783/500000 2521587/1000000 -96913/250000
13671/40000 -91537/500000 -13883/200000 -96913/250000 531909/500000


--- Term 9 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 8
Matrix dimension   : 4

Flags :
F1 : {1, 2, 4}
F2 : {1, 2, 5}
F3 : {1, 2, 6}
F4 : {1, 2, 4, 5, 6}
F5 : {1, 2, 7}
F6 : {1, 2, 4, 5, 7}
F7 : {1, 2, 4, 6, 7}
F8 : {1, 2, 5, 6, 7}

Basis :
B1 : (F1)+(F5)
B2 : (F2)+(F3)
B3 : (F4)+(F8)
B4 : (F6)+(F7)

Matrix :
46397/250000 -54359/1000000 -47581/500000 -15929/1000000
-54359/1000000 375737/1000000 1907/200000 -47581/500000
-47581/500000 1907/200000 375737/1000000 -54359/1000000
-15929/1000000 -47581/500000 -54359/1000000 46397/250000


--- Term 10 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 8
Matrix dimension   : 4

Flags :
F1 : {1, 2, 4}
F2 : {1, 2, 5}
F3 : {1, 2, 6}
F4 : {1, 2, 4, 5, 6}
F5 : {1, 2, 7}
F6 : {1, 2, 4, 5, 7}
F7 : {1, 2, 4, 6, 7}
F8 : {1, 2, 5, 6, 7}

Basis :
B1 : (F1)-(F5)
B2 : (F2)-(F3)
B3 : (F4)-(F8)
B4 : (F6)-(F7)

Matrix :
356183/200000 0/1 18377/62500 0/1
0/1 125841/200000 0/1 18377/62500
18377/62500 0/1 125841/200000 0/1
0/1 18377/62500 0/1 356183/200000


--- Term 11 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 11

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

Matrix :
87359/50000 -5925693/10000000 -133331/1000000 -163231/1000000 460673/1000000 -26169/500000 -12477/500000 -176189/1000000 -31911/125000 -21951/500000 -50923/250000
-5925693/10000000 148792257/100000000 -75957/500000 4569033/10000000 -729033/500000 382761/1250000 2657721/10000000 -7833/312500 2117001/5000000 -175167/400000 3789/80000
-133331/1000000 -75957/500000 209887/200000 -261361/1000000 72519/500000 2809/500000 -597/50000 -86377/1000000 -189149/1000000 1431/1000000 -1739/125000
-163231/1000000 4569033/10000000 -261361/1000000 740403/1000000 -343741/500000 -581/1000000 58757/1000000 37691/500000 -1597/40000 -153957/1000000 5441/1000000
460673/1000000 -729033/500000 72519/500000 -343741/500000 1874201/500000 -103599/1000000 -72251/1000000 -170001/250000 -92357/250000 31047/250000 -243293/1000000
-26169/500000 382761/1250000 2809/500000 -581/1000000 -103599/1000000 423793/1000000 84889/500000 -72999/250000 95763/1000000 -17089/100000 -14687/100000
-12477/500000 2657721/10000000 -597/50000 58757/1000000 -72251/1000000 84889/500000 95421/250000 -209701/1000000 69667/1000000 -171303/1000000 -229461/1000000
-176189/1000000 -7833/312500 -86377/1000000 37691/500000 -170001/250000 -72999/250000 -209701/1000000 910901/1000000 -50991/1000000 21983/500000 37493/200000
-31911/125000 2117001/5000000 -189149/1000000 -1597/40000 -92357/250000 95763/1000000 69667/1000000 -50991/1000000 153447/250000 -150427/1000000 -8437/500000
-21951/500000 -175167/400000 1431/1000000 -153957/1000000 31047/250000 -17089/100000 -171303/1000000 21983/500000 -150427/1000000 837457/1000000 619/40000
-50923/250000 3789/80000 -1739/125000 5441/1000000 -243293/1000000 -14687/100000 -229461/1000000 37493/200000 -8437/500000 619/40000 199739/500000


--- Term 12 ---

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 : (F1)-(F3)
B2 : (F2)-(F4)
B3 : (F5)-(F7)
B4 : (F6)-(F8)

Matrix :
128211/62500 -5781/500000 -421671/1000000 -222617/500000
-5781/500000 394403/100000 21179/250000 1073653/1000000
-421671/1000000 21179/250000 1274427/500000 40663/25000
-222617/500000 1073653/1000000 40663/25000 6723227762986796607264690121788774013/1925441502017066778166146954900000000


--- Term 13 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 5

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 : 3(F1)-(F7)-(F10)-(F16)
B2 : (F2)+(F3)+(F5)+(F9)
B3 : (F4)+(F6)+(F11)+(F13)
B4 : (F8)+(F12)+(F14)+(F15)
B5 : 6(F1)+9(F7)+9(F10)-13(F16)

Matrix :
26284167/121000000 199431/11000000 1791/1100000 86751/2750000 -2594103/242000000
199431/11000000 34351/200000 -5403/250000 -1183/62500 -259/4400000
1791/1100000 -5403/250000 77231/1000000 -1349/100000 29127/22000000
86751/2750000 -1183/62500 -1349/100000 34793/1000000 -31159/22000000
-2594103/242000000 -259/4400000 29127/22000000 -31159/22000000 28753/30250000


--- Term 14 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 9

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, 4, 5, 6}
F7  : {0, 1, 2, 3, 7}
F8  : {0, 1, 2, 3, 5, 7}
F9  : {0, 1, 2, 3, 4, 5, 7}
F10 : {0, 1, 2, 3, 6, 7}
F11 : {0, 1, 2, 3, 4, 6, 7}
F12 : {0, 1, 2, 3, 5, 6, 7}

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

Matrix :
851449/1000000 -48377/125000 -29027/125000 4617/100000 -4617/100000 4617/100000 -100907/1000000 61807/1000000 19549/1000000
-48377/125000 851449/1000000 -29027/125000 -4617/100000 4617/100000 -4617/100000 61807/1000000 -100907/1000000 19549/1000000
-29027/125000 -29027/125000 851449/1000000 4617/100000 -4617/100000 -4617/100000 19549/1000000 19549/1000000 -100907/1000000
4617/100000 -4617/100000 4617/100000 46691/50000 -144459/1000000 -9867/25000 -4349/25000 4349/25000 -4349/25000
-4617/100000 4617/100000 -4617/100000 -144459/1000000 46691/50000 -9867/25000 4349/25000 -4349/25000 4349/25000
4617/100000 -4617/100000 -4617/100000 -9867/25000 -9867/25000 46691/50000 -4349/25000 4349/25000 4349/25000
-100907/1000000 61807/1000000 19549/1000000 -4349/25000 4349/25000 -4349/25000 674503/1000000 -145573/250000 -9221/200000
61807/1000000 -100907/1000000 19549/1000000 4349/25000 -4349/25000 4349/25000 -145573/250000 674503/1000000 -9221/200000
19549/1000000 19549/1000000 -100907/1000000 -4349/25000 4349/25000 4349/25000 -9221/200000 -9221/200000 674503/1000000


--- Term 15 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 16
Matrix dimension   : 5

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 : (F2)+(F3)+(F5)+(F9)
B2 : (F4)+(F6)+(F11)+(F13)
B3 : 9(F1)-13(F7)-13(F10)+6(F16)
B4 : (F8)+(F12)+(F14)+(F15)
B5 : (F1)+(F7)+(F10)-3(F16)

Matrix :
34793/1000000 -1349/100000 31159/22000000 -1183/62500 -56937/2200000
-1349/100000 77231/1000000 -29127/22000000 -5403/250000 -1731/250000
31159/22000000 -29127/22000000 28753/30250000 259/4400000 -837003/121000000
-1183/62500 -5403/250000 259/4400000 34351/200000 -196839/11000000
-56937/2200000 -1731/250000 -837003/121000000 -196839/11000000 8873973/60500000


--- Term 16 ---

Dimension of type  : 2
Dimension of flags : 3
Number of flags    : 12
Matrix dimension   : 9

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

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

Matrix :
674503/1000000 -145573/250000 -9221/200000 -4349/25000 4349/25000 -4349/25000 -100907/1000000 61807/1000000 19549/1000000
-145573/250000 674503/1000000 -9221/200000 4349/25000 -4349/25000 4349/25000 61807/1000000 -100907/1000000 19549/1000000
-9221/200000 -9221/200000 674503/1000000 -4349/25000 4349/25000 4349/25000 19549/1000000 19549/1000000 -100907/1000000
-4349/25000 4349/25000 -4349/25000 46691/50000 -144459/1000000 -9867/25000 4617/100000 -4617/100000 4617/100000
4349/25000 -4349/25000 4349/25000 -144459/1000000 46691/50000 -9867/25000 -4617/100000 4617/100000 -4617/100000
-4349/25000 4349/25000 4349/25000 -9867/25000 -9867/25000 46691/50000 4617/100000 -4617/100000 -4617/100000
-100907/1000000 61807/1000000 19549/1000000 4617/100000 -4617/100000 4617/100000 851449/1000000 -48377/125000 -29027/125000
61807/1000000 -100907/1000000 19549/1000000 -4617/100000 4617/100000 -4617/100000 -48377/125000 851449/1000000 -29027/125000
19549/1000000 19549/1000000 -100907/1000000 4617/100000 -4617/100000 -4617/100000 -29027/125000 -29027/125000 851449/1000000

