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Created December 4, 2015 14:08
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expr = -((-1 + w) (-w + x) (-1 + y) (-w +
y) (12358202838558403940843520000000 w^5 x^4 +
9949468516712982507266867200000 w^6 x^4 +
1265962241998665769549824000000 w^4 x^5 -
9238829677660750852484136960000 w^5 x^5 -
8710694268643525929872174080000 w^6 x^5 +
7768013212808139619958784000000 w^5 x^3 y +
6253951639076731861710602240000 w^6 x^3 y +
16682569100115751140956569600000 w^4 x^4 y -
11208943912716859841101832192000 w^5 x^4 y -
18993583429353678699945266176000 w^6 x^4 y +
2324590871914896992147865600000 w^3 x^5 y -
10723298910330843607773614080000 w^4 x^5 y +
9450226521789907903695183104000 w^5 x^5 y +
14540407797652230497110052288000 w^6 x^5 y +
1694839246430866826172825600000 w^5 x^2 y^2 +
1364498539434923315282313216000 w^6 x^2 y^2 +
7183628310039076218077184000000 w^4 x^3 y^2 -
3374934777121103037341166796800 w^5 x^3 y^2 -
7415450622500805865729278566400 w^6 x^3 y^2 +
8313339674102127568469360640000 w^3 x^4 y^2 -
14548910063818729506858661478400 w^4 x^4 y^2 -
2545348053220174212683176396800 w^5 x^4 y^2 +
11551860779187644872136624908800 w^6 x^4 y^2 +
1131135417799799120682024960000 w^2 x^5 y^2 -
5664753586599084670509274521600 w^3 x^5 y^2 +
9670261659050035202653381977600 w^4 x^5 y^2 +
5156754757664815381468382764800 w^5 x^5 y^2 -
5574969410372886094985593200000 w^6 x^5 y^2 +
141236603869238902181068800000 w^5 x y^3 +
113708211619576942940192768000 w^6 x y^3 +
912053823745697654941679616000 w^4 x^2 y^3 -
300543191007562061283739238400 w^5 x^2 y^3 -
965692454074473732054189056000 w^6 x^2 y^3 +
2063529527013877670830669824000 w^3 x^3 y^3 -
2843880929137054766835195740160 w^4 x^3 y^3 -
2074324693913294152870905907200 w^5 x^3 y^3 +
2220298664470890983305421928960 w^6 x^3 y^3 +
1664342658923361066442948608000 w^2 x^4 y^3 -
4470141849766031302512876011520 w^3 x^4 y^3 +
544324327520890519997712844800 w^4 x^4 y^3 +
5155361200173786432195511576320 w^5 x^4 y^3 -
1717934900399436538674502356000 w^6 x^4 y^3 +
67276158540032958884904960000 w x^5 y^3 -
1442103982057015123115762933760 w^2 x^5 y^3 +
2196416130574805616173369040000 w^3 x^5 y^3 +
2591914235450582436338874771360 w^4 x^5 y^3 -
3146357637754860455223542676000 w^5 x^5 y^3 +
223514107722771620992244226000 w^6 x^5 y^3 +
2824732077384778043621376000 w^5 y^4 +
2274164232391538858803855360 w^6 y^4 +
26500645561304626161621401600 w^4 x y^4 -
670934145968127941214208 w^5 x y^4 -
34532022519862299893433319424 w^6 x y^4 +
98769045414009607364542464000 w^3 x^2 y^4 -
72606174557308521954881601536 w^4 x^2 y^4 -
237449204479532598837292660736 w^5 x^2 y^4 +
98308564107890245752499807744 w^6 x^2 y^4 +
163007032980196424233333555200 w^2 x^3 y^4 -
292319156722683610426191667200 w^3 x^3 y^4 -
543856601270962268633488479744 w^4 x^3 y^4 +
765872990502828328368646812672 w^5 x^3 y^4 -
51515670362332453672902823200 w^6 x^3 y^4 +
78938466609243918404734156800 w x^4 y^4 -
392950236808503498080815386624 w^2 x^4 y^4 -
299846474148338847191028946176 w^3 x^4 y^4 +
1633718020250046274451565486912 w^4 x^4 y^4 -
829678767012355986339977750400 w^5 x^4 y^4 -
92513724522089714985889117800 w^6 x^4 y^4 -
38864671744157290243031040000 x^5 y^4 -
100145044373664118737658171392 w x^5 y^4 +
134989749062011990528612232256 w^2 x^5 y^4 +
928442632709890901577635133984 w^3 x^5 y^4 -
1211319725413761719323229392200 w^4 x^5 y^4 +
275422312041609752847298118700 w^5 x^5 y^4 +
81584577649814793566656035375 w^6 x^5 y^4) (x - z) (-1 +
z) (-29400929221208133399148800 w^3 y^2 -
9000284455471877571168000 w^2 y^3 -
23016530805511434610152240 w^3 y^3 -
8710470203273171625326400 w^2 y^4 +
5262575747810874523634700 w^3 y^4 +
5381580180582872089886720000 w^2 z -
4120272325758761443819520000 w^3 z -
100625840691505716658176000 w y z +
9404865647578940468242432000 w^2 y z -
8206162288135437608721894400 w^3 y z +
4804490586122318422982246400 w y^2 z -
6528362443684908277857377280 w^2 y^2 z +
1018021700397789866021496000 w^3 y^2 z -
4159330432654178582117568000 w y^3 z +
1628983021674723134378226256 w^2 y^3 z +
164435853429416715956177756 w^3 y^3 z +
964319269535310417679820160 w y^4 z -
267498378909787482446367160 w^2 y^4 z +
6020400568846560776534470 w^3 y^4 z -
4552720733127027951042560000 w^2 z^2 +
3283690585314198260203520000 w^3 z^2 +
85127664335001487976448000 w y z^2 -
8469475707819312904158592000 w^2 y z^2 +
7107616381876214283576640000 w^3 y z^2 -
3954978305213260227116140800 w y^2 z^2 +
4381746824748183926324301600 w^2 y^2 z^2 +
770284980557854719813330600 w^3 y^2 z^2 +
8040254113554877296910080 y^3 z^2 +
2991636317156407416509691600 w y^3 z^2 -
834184971298822620934357780 w^2 y^3 z^2 +
9067952876685961647826420 w^3 y^3 z^2 +
7781353381590699985291584 y^4 z^2 -
539535665322069472450538856 w y^4 z^2 -
78563300149149320664087080 w^2 y^4 z^2 +
17978187582042691195107695 w^3 y^4 z^2) \
(-3790267862428947451804416000000 w^5 y^4 -
15498468793199421104764912200000 w^6 y^4 -
25167378606528211079981322240000 w^5 y^3 z -
102909832786844156135639017008000 w^6 y^3 z -
12802096622409286627938115584000 w^4 y^4 z -
46881456026029069028856971659200 w^5 y^4 z -
1926646588256622344929978410600 w^6 y^4 z -
60239990560204071500678184960000 w^5 y^2 z^2 -
246322330686582799425063671232000 w^6 y^2 z^2 -
47561350469367929487711306547200 w^4 y^3 z^2 -
142009557509187043443226674412800 w^5 y^3 z^2 +
69425630374563758572728173817600 w^6 y^3 z^2 -
10674976325446842889304597299200 w^3 y^4 z^2 -
17004474363547316809496952503040 w^4 y^4 z^2 +
38515245038378111856677845965360 w^5 y^4 z^2 +
14277964395813787573441922977620 w^6 y^4 z^2 -
62351310139868196303461089280000 w^5 y z^3 -
254955551821757588070088274176000 w^6 y z^3 -
41466550918654807699252294451200 w^4 y^2 z^3 -
24384484828307517211594020006400 w^5 y^2 z^3 +
273715890466782744497035445292800 w^6 y^2 z^3 -
5230842109986695999133006397440 w^3 y^3 z^3 +
106347169559552142311009491569920 w^4 y^3 z^3 +
183712391461116213420867685250000 w^5 y^3 z^3 -
28793206480828947243341127482740 w^6 y^3 z^3 -
67921600094726738336335134720 w^2 y^4 z^3 +
24481208656139337571778814924288 w^3 y^4 z^3 +
13848215231611450328344052000792 w^4 y^4 z^3 -
35779018721360973044499985206944 w^5 y^4 z^3 -
17923997191588527956508359816136 w^6 y^4 z^3 -
23718654001333146720624967680000 w^5 z^4 -
96985973603665710735595539456000 w^6 z^4 +
21700224670705863523411309363200 w^4 y z^4 +
247853356704494494266758775193600 w^5 y z^4 +
341371548632499298111541502156800 w^6 y z^4 +
50520311149547088684258284666880 w^3 y^2 z^4 +
396977694113107037566862634821120 w^4 y^2 z^4 +
253279424658949676343951419807360 w^5 y^2 z^4 -
148125891230022374847015086874400 w^6 y^2 z^4 +
22495261296631775186566471385088 w^2 y^3 z^4 +
157685925394226967443764383382272 w^3 y^3 z^4 -
15373302862116853310942502900160 w^4 y^3 z^4 -
170398911168421137338884871402416 w^5 y^3 z^4 -
22568693410239794192460242148766 w^6 y^3 z^4 +
2842550604461252536676092624896 w y^4 z^4 +
17700674275798299088620463679040 w^2 y^4 z^4 -
19751701175250558311907470373984 w^3 y^4 z^4 -
37281863457478355226031189628104 w^4 y^4 z^4 -
1535837900280742845998547136178 w^5 y^4 z^4 +
6036086569515036605092455892989 w^6 y^4 z^4 +
30374877060995808448547389440000 w^4 z^5 +
185374642472360706044041356288000 w^5 z^5 +
139209649180285752527645209344000 w^6 z^5 +
51356042142016987247266234368000 w^3 y z^5 +
299935055183197120210029418444800 w^4 y z^5 +
102401488149807750481777198624000 w^5 y z^5 -
112469201921071615633773553249600 w^6 y z^5 +
31662059351265785146073795788800 w^2 y^2 z^5 +
170484405654009643486185658882560 w^3 y^2 z^5 -
54906353642141038275776486538880 w^4 y^2 z^5 -
159955555660358038938366791807680 w^5 y^2 z^5 +
1784285912255764721993356876760 w^6 y^2 z^5 +
8368700503596859058247702282240 w y^3 z^5 +
39550906508015853970102317961344 w^2 y^3 z^5 -
51057384600150022932967484242704 w^3 y^3 z^5 -
62168185763685889131338548804012 w^4 y^3 z^5 +
11852339765940443874841605712742 w^5 y^3 z^5 +
6021172392577973457097125069080 w^6 y^3 z^5 +
788607745696103676845411598336 y^4 z^5 +
3004878754356777857513907048384 w y^4 z^5 -
8362235209240025766767052265344 w^2 y^4 z^5 -
7476864250619058208901625742284 w^3 y^4 z^5 +
3462833246726206415646022640642 w^4 y^4 z^5 +
1936903706358942738569998215007 w^5 y^4 z^5 -
514894401581098358695606073130 w^6 y^4 z^5) \
(125876635225041254374661048628848984263537081453730098401666662400000\
x^5 y^4 -
91184295481427982179752787345486824679608550345976342103169433\
600000 x^6 y^4 +
83582085789427392904774936289555725550988622085276785338706663\
8336000 x^5 y^3 z -
60546372199668180167355850797403251587260077429728291156504503\
9104000 x^6 y^3 z -
34977544754255551257823889357171719444851097802598988491679334\
400000 x^4 y^4 z +
20145289635790184183891566125084061927886310150162412062224508\
51840000 x^5 y^4 z -
17339364376681131724418542099126474906436554310357754149328393\
21600000 x^6 y^4 z +
20005993225099890028612795995411731898951493479046170305971554\
87744000 x^5 y^2 z^2 -
14492224028514953967768709668776039335745785601653839971597061\
98016000 x^6 y^2 z^2 +
14371426165542221302949195821810556172275605913595034689544157\
9212800 x^4 y^3 z^2 +
94171056620058677462476465830467355779528589034139184036545112\
83404800 x^5 y^3 z^2 -
85927856386335694619252397469393185713451647847857197302755380\
74009600 x^6 y^3 z^2 -
53922828873429834644280476236952875691271965974097893504497745\
920000 x^3 y^4 z^2 -
97716052042771760928886638108302440686294529263690887834437995\
7248000 x^4 y^4 z^2 +
16827837578791963119437117855125126233747996206594574891374904\
60672000 x^5 y^4 z^2 -
13276317619954826392534069733901075293208060763250244554625214\
05696000 x^6 y^4 z^2 +
20707172704279379090018315318144283277960233369810652039290468\
43392000 x^5 y z^3 -
15000154326307797246281110380507936314701827304321797077238420\
60288000 x^6 y z^3 +
81862754595260493080757794206722522187552369648988058673330866\
0940800 x^4 y^2 z^3 +
13156728883835277476374418139040048039923798212561864293644602\
494156800 x^5 y^2 z^3 -
13224628498742504815527057203552364066917699059881804406660408\
737792000 x^6 y^2 z^3 -
31420357984616010813065356026948028636849968149571634042748031\
467520 x^3 y^3 z^3 +
16302987228622412124323770910336743788653222982184643690276502\
42478080 x^4 y^3 z^3 -
77721904956550657743188012989457212876364896083975541452425253\
53902080 x^5 y^3 z^3 +
17743283112074068196054278421947379748510251532121245380508291\
48779520 x^6 y^3 z^3 +
50678260948460052562050724483006067538332947107798043620771102\
72000 x^2 y^4 z^3 -
81769006739629094145804328389837142123008418377590227237082109\
0508800 x^3 y^4 z^3 +
51846097274162538382747059168190428831521703996353326991550894\
63705600 x^4 y^4 z^3 -
69148009824908411492609075923668271520415101825081697808609341\
32812800 x^5 y^4 z^3 +
18182648576816576345367004829523774743330676414094085816689048\
52966400 x^6 y^4 z^3 +
78770801065270260515343447319741942152471204749711990466465182\
5152000 x^5 z^4 -
57061105794600266181818633147753532955061706172059862080561138\
8928000 x^6 z^4 +
10848917841895309340702168211110020336695908368233041199253602\
43507200 x^4 y z^4 +
54970353452345815339390306276463775202801498860500738977840572\
13747200 x^5 y z^4 -
72117323283377507235614968966132656672311239938522729387001406\
81625600 x^6 y z^4 +
18161344847420060244684880246388029991181764126110174564853653\
4384640 x^3 y^2 z^4 +
62115441923369593041109380397602278893644031193037070483427057\
62467840 x^4 y^2 z^4 -
19603563492508400397426369876932856788825049239345516639775483\
643822080 x^5 y^2 z^4 +
61723083345490105629781891687050610733349456523084103538211652\
44631040 x^6 y^2 z^4 +
41081718605022749266174363146186083370116406950727595507044744\
953856 x^2 y^3 z^4 -
57858603191618851755618565051433626032210155902856708561200631\
6703744 x^3 y^3 z^4 +
32147510203408559044737381886098962619654428791915467791917705\
86021888 x^4 y^3 z^4 -
36099648663155837929264823427987998148814928770166245423562024\
48836608 x^5 y^3 z^4 +
45575020880239524571182908054829460533495502693415070212815855\
08384 x^6 y^3 z^4 +
83706072385084490596771599424541498724677631582924903874069266\
43200 x y^4 z^4 +
57580731444903188508666082111756336339748942849688879440915689\
635840 x^2 y^4 z^4 -
28825726407512108055632125939767119164977188252712422193235098\
5994240 x^3 y^4 z^4 +
56840097492761162043577824565150026012338490720764700274749662\
2940160 x^4 y^4 z^4 -
18851766219307335316548782474767343207565232224786096574480100\
54920800 x^5 y^4 z^4 +
19667139700198150230699290978035048812461569229532094868190505\
76953260 x^6 y^4 z^4 +
44238686136079897366614277377308661376409188239434380395231051\
7760000 x^4 z^5 -
10523789577836121926638090238440617216927636178007274833859051\
5200000 x^5 z^5 -
99318150884154011423798495305436635207788364255265833099521949\
6960000 x^6 z^5 +
17019260297901039962517568514178563433899361978654948493005055\
5904000 x^3 y z^5 +
31541058980254040330180630796853989943039576633594764292142902\
80448000 x^4 y z^5 -
88638183500239442777494304496730725790256035381062380231180335\
18592000 x^5 y z^5 +
22854522987590642371502717279681267773638259838856941288185296\
81408000 x^6 y z^5 +
44887179712280977435865117080621783937980430327404214469078810\
624000 x^2 y^2 z^5 +
57759275017420588400965524847200498706349050190610288552646992\
1996800 x^3 y^2 z^5 -
26021801208657358428337000889162162724750748776395190912557465\
86214400 x^4 y^2 z^5 +
33097880829811081727120016958518747771185823721235344829877466\
83187200 x^5 y^2 z^5 -
14056618788520852778468269722219489768909300598145805786902747\
36838000 x^6 y^2 z^5 +
11688139090976710176641533375973209094963877993194749322499394\
109440 x y^3 z^5 +
18960436080938723471413239023261658200939182970039980904060142\
223360 x^2 y^3 z^5 -
52872500942224330751003372825421662741788211706323391141291009\
7694720 x^3 y^3 z^5 +
22229232401894999018429441781106926763156448476865745188223433\
75564800 x^4 y^3 z^5 -
46995760681902445268748375496041077663926927864901034210813960\
25201440 x^5 y^3 z^5 +
36055946706137827935099598615611640039279111053905063172471814\
75992360 x^6 y^3 z^5 +
11958624753589077770292790350671169541629603320042270788534340\
15744 y^4 z^5 +
44661842072911354676692167669824665162294034414844558933916494\
331904 x y^4 z^5 -
48727024233321516654392604102691820495598311231659603809786663\
8491648 x^2 y^4 z^5 +
18310527722670936196612534592985819217413562702692709663456601\
39470848 x^3 y^4 z^5 -
33297181455293541697389665203236501979849180377112466879972895\
31678944 x^4 y^4 z^5 +
30026041280565323834345615050306371463937519911817274013868435\
96948400 x^5 y^4 z^5 -
10575805244440309526012251916938821783429483916620530289605622\
88836615 x^6 y^4 \
z^5))/(279899322227213149351559846468876674135353725251110240757036241\
8580496106333834269684074481876644379397247443415281698356846827643131\
500000000000 w^17 x^12 y^17 z^13 (-1920 + 36 w + 1681 x + 170 y +
600 z) (-1344 w - 224 x + 1267 w x - 640 y + 170 w y +
915 x y - 960 z + 420 w z + 1915 x z + 182 y z) (-98 w x -
100 w y + 120 x y + 465 w x y - 600 w z + 370 x z +
1285 w x z - 268 y z - 34 w y z + 561 x y z) (-30 w x y -
40 w x z - 8 w y z - 18 x y z + 15 w x y z));
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