#Density : 7525587672324273984478737645733/32000000000000000000000000000000

Program                      : VertexInducedHypercubeDensityChecker

Dimension of subcubes H      : 4
Number of induced hypercubes : 1
Induced hypercubes           :
4 : {7, 8, 10, 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 :
112779580735076097078761777/1600000000000000000000000000 40152218183643638458044029/500000000000000000000000000 -7161120872021629630528275907/40000000000000000000000000000 6783617875319510831885506479/40000000000000000000000000000 -21615731137396135761649481/320000000000000000000000000 18066170404301362805574833/8000000000000000000000000000
40152218183643638458044029/500000000000000000000000000 14295146466753133618124633/156250000000000000000000000 -2549529673889178732064600039/12500000000000000000000000000 2415129611486317277979053283/12500000000000000000000000000 -7695715369491291698611637/100000000000000000000000000 6431987165481496748370941/2500000000000000000000000000
-7161120872021629630528275907/40000000000000000000000000000 -2549529673889178732064600039/12500000000000000000000000000 454706887625044009837697259737/1000000000000000000000000000000 -430736727678408601849833952989/1000000000000000000000000000000 1372525615036911252649055371/8000000000000000000000000000 -1147140547220572519460161603/200000000000000000000000000000
6783617875319510831885506479/40000000000000000000000000000 2415129611486317277979053283/12500000000000000000000000000 -430736727678408601849833952989/1000000000000000000000000000000 408030169809296768902394264433/1000000000000000000000000000000 -1300172062850522783070926487/8000000000000000000000000000 1086668310827218349346386991/200000000000000000000000000000
-21615731137396135761649481/320000000000000000000000000 -7695715369491291698611637/100000000000000000000000000 1372525615036911252649055371/8000000000000000000000000000 -1300172062850522783070926487/8000000000000000000000000000 4142947061505420437183393/64000000000000000000000000 -3462625766086981961819849/1600000000000000000000000000
18066170404301362805574833/8000000000000000000000000000 6431987165481496748370941/2500000000000000000000000000 -1147140547220572519460161603/200000000000000000000000000000 1086668310827218349346386991/200000000000000000000000000000 -3462625766086981961819849/1600000000000000000000000000 2894021337461343243255857/40000000000000000000000000000


--- 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 :
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 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 0/1 0/1 0/1 0/1


--- 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 :
14348327394878343835046840293/15625000000000000000000000000 61247180209459820700616620669/125000000000000000000000000000 111969373787718668694121501727/125000000000000000000000000000 99565278552708515579680672373/125000000000000000000000000000 9802544753535082247700065363/25000000000000000000000000000 -43928330882022832964511842119/31250000000000000000000000000 -6355689641466209584896621647/25000000000000000000000000000 16532755944303023408159340167/125000000000000000000000000000 -7862766743292462469762542531/5000000000000000000000000000 -16523659799257473552674481359/125000000000000000000000000000 -123697635890720857123888894193/125000000000000000000000000000 1315810746384941227048762739/1953125000000000000000000000
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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 :
791935640669528475472096410829/1000000000000000000000000000000 1286408632948719028865136903951/1000000000000000000000000000000 152708593382720315919003232467/1000000000000000000000000000000 -74247693359263248028091195087/250000000000000000000000000000
1286408632948719028865136903951/1000000000000000000000000000000 5730688194191382475593099839889/1000000000000000000000000000000 670644109514454188930165105793/1000000000000000000000000000000 128101275282344017409103987087/250000000000000000000000000000
152708593382720315919003232467/1000000000000000000000000000000 670644109514454188930165105793/1000000000000000000000000000000 78492644538036329805333520461/1000000000000000000000000000000 14548226075791934318555539839/250000000000000000000000000000
-74247693359263248028091195087/250000000000000000000000000000 128101275282344017409103987087/250000000000000000000000000000 14548226075791934318555539839/250000000000000000000000000000 2228771706991501663548203480231/1000000000000000000000000000000


--- 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 :
152247006827034066548050292917/62500000000000000000000000000 48155267337103495184318784697/40000000000000000000000000000 7170559942716922773155470239/50000000000000000000000000000 1605771156979317265563682425309/500000000000000000000000000000 736541040774937542107992457803/1000000000000000000000000000000 -2549568582459507504174275984107/1000000000000000000000000000000 -14534372405633063476799712291/6250000000000000000000000000 -200336125944378892133653217879/250000000000000000000000000000 -609119768013525848183897684943/1000000000000000000000000000000 -244776638431654440081493232457/100000000000000000000000000000
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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 :
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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 :
657837291730496704627732467559/1000000000000000000000000000000 610001572715939899045216200651/1000000000000000000000000000000 3916474595236957322011467849/15625000000000000000000000000 -597436625322451787808528546491/1000000000000000000000000000000 -314955963530113222984314257481/1000000000000000000000000000000 1465436389928459510185394271/125000000000000000000000000000 25360051567151631519967448347/250000000000000000000000000000 -167734512589061910901812537773/1000000000000000000000000000000 -784343671487321708902550713513/1000000000000000000000000000000
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--- 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 :
26087003193655860308968734331/31250000000000000000000000000 39956706988815951753/500000000000000000000000000000 39495476262354332202683102829/62500000000000000000000000000 -39495476262354332202683102829/62500000000000000000000000000 -157981905066717771716319564283/250000000000000000000000000000 -7993601937585791179211232761/500000000000000000000000000000 3365831619067227239/500000000000000000000000000000
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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 :
311040384207177019643295142241/31250000000000000000000000000 3271770979344518148587553953839/250000000000000000000000000000 91130355460091673179922746031/250000000000000000000000000000 204443267075012229899043744351/1000000000000000000000000000000 599575623729748145539012114271/1000000000000000000000000000000 211443815323078896636867636599/1000000000000000000000000000000 -6332966980191683406491554404967/1000000000000000000000000000000 -1982982529094433244330984984641/500000000000000000000000000000 -2765186522613354873890712110083/1000000000000000000000000000000 -3394217442136672863425501109809/1000000000000000000000000000000 -30619979059175726360710712611/125000000000000000000000000000 1548448026875733070435685115709/1000000000000000000000000000000
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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 :
4975322730817687664754317426417/1000000000000000000000000000000 2217564165601102600531522602131/1000000000000000000000000000000 441811146515454612241174450619/1000000000000000000000000000000 223386814240220360055734377933/500000000000000000000000000000
2217564165601102600531522602131/1000000000000000000000000000000 2670544750917075333573602200057/1000000000000000000000000000000 650342638510886723797623157193/1000000000000000000000000000000 13152947478725048065422351187/20000000000000000000000000000
441811146515454612241174450619/1000000000000000000000000000000 650342638510886723797623157193/1000000000000000000000000000000 726702986162188312970269362383/250000000000000000000000000000 587892328880917363947025530823/200000000000000000000000000000
223386814240220360055734377933/500000000000000000000000000000 13152947478725048065422351187/20000000000000000000000000000 587892328880917363947025530823/200000000000000000000000000000 594495613989214625211612774427/200000000000000000000000000000


--- 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 :
3773860128779713317763581801259/1000000000000000000000000000000 -695418986013293836454515317639/1000000000000000000000000000000 -21921107147392299681062475661/1000000000000000000000000000000 -2635452019317596579233707091123/1000000000000000000000000000000 3102961202255191935305947111/10000000000000000000000000000 941934466611685308705562251687/1000000000000000000000000000000
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--- 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 :
355628107824643835612847365037/250000000000000000000000000000 -355628107824643835612847365037/250000000000000000000000000000 -4256921664113083687/125000000000000000000000000000 -4722665932088790385046439481/250000000000000000000000000000 4722665932088790385046439481/250000000000000000000000000000 -1180666475194726096199216117/62500000000000000000000000000 0/1 -221610043360334756890764017/2000000000000000000000000000 221610043360334756890764017/2000000000000000000000000000 41857040009808141717/250000000000000000000000000000
-355628107824643835612847365037/250000000000000000000000000000 355628107824643835612847365037/250000000000000000000000000000 4256921664113083687/125000000000000000000000000000 4722665932088790385046439481/250000000000000000000000000000 -4722665932088790385046439481/250000000000000000000000000000 1180666475194726096199216117/62500000000000000000000000000 0/1 221610043360334756890764017/2000000000000000000000000000 -221610043360334756890764017/2000000000000000000000000000 -41857040009808141717/250000000000000000000000000000
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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 :
58793653615177923525237091237/250000000000000000000000000000 57291099404708149529345341723/250000000000000000000000000000 2511475695962367917405511933/125000000000000000000000000000 -23907542297933942014015053277/250000000000000000000000000000 -172480803524645136698391435871/250000000000000000000000000000 -42402586403303348433259191231/62500000000000000000000000000
57291099404708149529345341723/250000000000000000000000000000 55826945072738486563693025317/250000000000000000000000000000 2447291415324294667390425507/125000000000000000000000000000 -23296551550924620420879736483/250000000000000000000000000000 -168072814879179135745063310209/250000000000000000000000000000 -41318928885570105102134345049/62500000000000000000000000000
2511475695962367917405511933/125000000000000000000000000000 2447291415324294667390425507/125000000000000000000000000000 3009064996381130229966841547/62500000000000000000000000000 -1021253277457052760018640193/125000000000000000000000000000 -7367824917137668927798606089/125000000000000000000000000000 -3622604095822209060785075733/62500000000000000000000000000
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-42402586403303348433259191231/62500000000000000000000000000 -41318928885570105102134345049/62500000000000000000000000000 -3622604095822209060785075733/62500000000000000000000000000 8621182437597909076574351763/31250000000000000000000000000 248789851443316237817644037871/125000000000000000000000000000 244649444031210494557512297099/125000000000000000000000000000


--- 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 :
15359950033985981635350663/100000000000000000000000000000 -15359950033985981635350663/100000000000000000000000000000 -67506208028867/40000000000000000000000000000 11882917674049551050278371/125000000000000000000000000000 -95063181396145379960924147/1000000000000000000000000000000 47531574897625524343595183/500000000000000000000000000000 0/1 -11445643985388916927199793/1000000000000000000000000000000 11445643985388916927199793/1000000000000000000000000000000 722824492746769/31250000000000000000000000000
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