eqssmall := [62985600*S1^8*nu^16+289733760*S1^7*S3*nu^16+559312128*S1^6*S3^2*nu
^16-1269789696*S1^5*S3^3*nu^16-4353564672*S1^4*S3^4*nu^16+500035680*S1^7*nu^16+
1848627360*S1^6*S3*nu^16-198404640*S1^6*nu^16*w-1720766592*S1^5*S3^2*nu^16+
119042784*S1^5*S3*nu^16*w-19515458304*S1^4*S3^3*nu^16+1428513408*S1^4*S3^2*nu^
16*w-9738833472*S1^3*S3^4*nu^16+4081466880*S1^3*S3^3*nu^16*w+1496537856*S1^2*S3
^5*nu^16+9795520512*S1^2*S3^4*nu^16*w-9795520512*S1*S3^6*nu^16-206452800*S1^7*
nu^15-550494144*S1^6*S3*nu^15+1561611312*S1^6*nu^16+198404640*S1^6*nu^15*w+
2988036864*S1^5*S3^2*nu^15+814158864*S1^5*S3*nu^16-119042784*S1^5*S3*nu^15*w-\
349885008*S1^5*nu^16*w+15267709440*S1^4*S3^3*nu^15-29273239944*S1^4*S3^2*nu^16-\
1428513408*S1^4*S3^2*nu^15*w+4309159824*S1^4*S3*nu^16*w+340122240*S1^4*nu^16*w^
2+2063408256*S1^3*S3^4*nu^15-40117575672*S1^3*S3^3*nu^16-4081466880*S1^3*S3^3*
nu^15*w+15577598592*S1^3*S3^2*nu^16*w-204073344*S1^3*S3*nu^16*w^2-2993075712*S1
^2*S3^5*nu^15-2868836616*S1^2*S3^4*nu^16-9795520512*S1^2*S3^4*nu^15*w+
41630962176*S1^2*S3^3*nu^16*w-2448880128*S1^2*S3^2*nu^16*w^2+19591041024*S1*S3^
6*nu^15-48057855336*S1*S3^5*nu^16+16325867520*S1*S3^4*nu^16*w-5152851936*S3^6*
nu^16-233746560*S1^7*nu^14-1016587584*S1^6*S3*nu^14-897568128*S1^6*nu^15-\
1312619904*S1^5*S3^2*nu^14+4393595520*S1^5*S3*nu^15+1449776880*S1^5*nu^16-\
21730032*S1^5*nu^15*w+2615162112*S1^4*S3^3*nu^14+49942751904*S1^4*S3^2*nu^15-\
17755133256*S1^4*S3*nu^16-9475238736*S1^4*S3*nu^15*w+2378808648*S1^4*nu^16*w-\
680244480*S1^4*nu^15*w^2+7675425216*S1^3*S3^4*nu^14+43453135584*S1^3*S3^3*nu^15
-59088112308*S1^3*S3^2*nu^16-28774341504*S1^3*S3^2*nu^15*w+21661535160*S1^3*S3*
nu^16*w+408146688*S1^3*S3*nu^15*w^2+464833728*S1^3*nu^16*w^2+1496537856*S1^2*S3
^5*nu^14-10258464672*S1^2*S3^4*nu^15-25485942060*S1^2*S3^3*nu^16-73466403840*S1
^2*S3^3*nu^15*w+69932911680*S1^2*S3^2*nu^16*w+4897760256*S1^2*S3^2*nu^15*w^2-\
5067821376*S1^2*S3*nu^16*w^2-9795520512*S1*S3^6*nu^14+136451373984*S1*S3^5*nu^
15-102299873076*S1*S3^4*nu^16-29386561536*S1*S3^4*nu^15*w+60944236704*S1*S3^3*
nu^16*w-3673320192*S1*S3^2*nu^16*w^2+10815887232*S3^6*nu^15-25510821372*S3^5*nu
^16+5816090304*S3^4*nu^16*w-1886593680*S1^6*nu^14-8352100512*S1^5*S3*nu^14+
1485165456*S1^5*nu^15+1005250176*S1^5*nu^14*w-15766397928*S1^4*S3^2*nu^14+
52055113968*S1^4*S3*nu^15+5963476608*S1^4*S3*nu^14*w-3552653520*S1^4*nu^16-\
9334308456*S1^4*nu^15*w+340122240*S1^4*nu^14*w^2+24409911816*S1^3*S3^3*nu^14+
117082987056*S1^3*S3^2*nu^15+11428107264*S1^3*S3^2*nu^14*w-37473967980*S1^3*S3*
nu^16-59915839320*S1^3*S3*nu^15*w-204073344*S1^3*S3*nu^14*w^2+9739944468*S1^3*
nu^16*w-702919296*S1^3*nu^15*w^2+23737698000*S1^2*S3^4*nu^14+21087578880*S1^2*
S3^3*nu^15+25713241344*S1^2*S3^3*nu^14*w-42910813530*S1^2*S3^2*nu^16-\
178038876096*S1^2*S3^2*nu^15*w-2448880128*S1^2*S3^2*nu^14*w^2+55961997012*S1^2*
S3*nu^16*w+14761305216*S1^2*S3*nu^15*w^2-2146549248*S1^2*nu^16*w^2-126312896880
*S1*S3^5*nu^14+367772288544*S1*S3^4*nu^15+9795520512*S1*S3^4*nu^14*w-\
122389598214*S1*S3^3*nu^16-156155789088*S1*S3^3*nu^15*w+87453616032*S1*S3^2*nu^
16*w+9795520512*S1*S3^2*nu^15*w^2-7391990016*S1*S3*nu^16*w^2-1530550080*S3^6*nu
^14+74089961280*S3^5*nu^15-53303453568*S3^4*nu^16-12754584000*S3^4*nu^15*w+
20859885936*S3^3*nu^16*w-1224440064*S3^2*nu^16*w^2+919846368*S1^6*nu^13+
1865353536*S1^5*S3*nu^13-8407020456*S1^5*nu^14-633635136*S1^5*nu^13*w-\
6327008496*S1^4*S3^2*nu^13-45699114600*S1^4*S3*nu^14-797397696*S1^4*S3*nu^13*w+
17914979304*S1^4*nu^15+12490044480*S1^4*nu^14*w-25239274704*S1^3*S3^3*nu^13-\
19494069444*S1^3*S3^2*nu^14+1768635648*S1^3*S3^2*nu^13*w+110594986200*S1^3*S3*
nu^15+49291270848*S1^3*S3*nu^14*w-8709315426*S1^3*nu^16-37002841524*S1^3*nu^15*
w-578207808*S1^3*nu^14*w^2-5224655520*S1^2*S3^4*nu^13+60847160148*S1^2*S3^3*nu^
14+6122200320*S1^2*S3^3*nu^13*w+89564345136*S1^2*S3^2*nu^15+127549619136*S1^2*
S3^2*nu^14*w-28774391400*S1^2*S3*nu^16-186883550244*S1^2*S3*nu^15*w-14183097408
*S1^2*S3*nu^14*w^2+17608289328*S1^2*nu^16*w+9205975296*S1^2*nu^15*w^2+
35503093152*S1*S3^5*nu^13-485987914152*S1*S3^4*nu^14+3265173504*S1*S3^4*nu^13*w
+518945409288*S1*S3^3*nu^15+111707481024*S1*S3^3*nu^14*w-86943334743*S1*S3^2*nu
^16-289476778752*S1*S3^2*nu^15*w-7346640384*S1*S3^2*nu^14*w^2+57782814480*S1*S3
*nu^16*w+26869656960*S1*S3*nu^15*w^2-3582620928*S1*nu^16*w^2-8775153792*S3^6*nu
^13-47918972088*S3^5*nu^14+196573648608*S3^4*nu^15+2652953472*S3^4*nu^14*w-\
60364296063*S3^3*nu^16-61810603632*S3^3*nu^15*w+28396008000*S3^2*nu^16*w+
3673320192*S3^2*nu^15*w^2-2433763584*S3*nu^16*w^2+329158080*S1^6*nu^12+
1327176576*S1^5*S3*nu^12+4841376480*S1^5*nu^13+1219821120*S1^4*S3^2*nu^12+
1843133616*S1^4*S3*nu^13-28278645156*S1^4*nu^14-5751215136*S1^4*nu^13*w-\
2506197024*S1^3*S3^3*nu^12-72424079640*S1^3*S3^2*nu^13-80943681024*S1^3*S3*nu^
14-4007773728*S1^3*S3*nu^13*w+35408572200*S1^3*nu^15+47700674496*S1^3*nu^14*w+
1405838592*S1^3*nu^13*w^2-5385741192*S1^2*S3^4*nu^12-64989959256*S1^2*S3^3*nu^
13+18954233280*S1^2*S3^2*nu^14-888096960*S1^2*S3^2*nu^13*w+89500383000*S1^2*S3*
nu^15+201101998320*S1^2*S3*nu^14*w+4353564672*S1^2*S3*nu^13*w^2-6951947877*S1^2
*nu^16-73292773536*S1^2*nu^15*w-14988053376*S1^2*nu^14*w^2+2416285080*S1*S3^5*
nu^12+272023783920*S1*S3^4*nu^13-862282031904*S1*S3^3*nu^14-283435200*S1*S3^3*
nu^13*w+416442925728*S1*S3^2*nu^15+310842439056*S1*S3^2*nu^14*w-34507851552*S1*
S3*nu^16-233214104232*S1*S3*nu^15*w-34284321792*S1*S3*nu^14*w^2+14873680080*S1*
nu^16*w+16975878912*S1*nu^15*w^2+4642668576*S3^6*nu^12-44313203952*S3^5*nu^13-\
215421459552*S3^4*nu^14+10407740544*S3^4*nu^13*w+268039548144*S3^3*nu^15+
41840704224*S3^3*nu^14*w-39168031707*S3^2*nu^16-105530798160*S3^2*nu^15*w-\
2448880128*S3^2*nu^14*w^2+17485094160*S3*nu^16*w+9629238528*S3*nu^15*w^2-\
1195886592*nu^16*w^2+2332601712*S1^5*nu^12+13005546624*S1^4*S3*nu^12+
10259923320*S1^4*nu^13-554273280*S1^4*nu^12*w+29195715168*S1^3*S3^2*nu^12-\
44926992792*S1^3*S3*nu^13-8540847360*S1^3*S3*nu^12*w-45097729938*S1^3*nu^14-\
16387663392*S1^3*nu^13*w-589545216*S1^3*nu^12*w^2-7893670320*S1^2*S3^3*nu^12-\
143146696608*S1^2*S3^2*nu^13-17922552480*S1^2*S3^2*nu^12*w-52677996354*S1^2*S3*
nu^14-41246120160*S1^2*S3*nu^13*w+136048896*S1^2*S3*nu^12*w^2+28521036846*S1^2*
nu^15+105554260296*S1^2*nu^14*w+10823445504*S1^2*nu^13*w^2-44440041204*S1*S3^4*
nu^12+692964649368*S1*S3^3*nu^13-14653599840*S1*S3^3*nu^12*w-807210423828*S1*S3
^2*nu^14-73897540272*S1*S3^2*nu^13*w+1224440064*S1*S3^2*nu^12*w^2+182658766338*
S1*S3*nu^15+327793596120*S1*S3*nu^14*w+15668297856*S1*S3*nu^13*w^2-5907651864*
S1*nu^16-70611087744*S1*nu^15*w-31249675584*S1*nu^14*w^2+62216152164*S3^5*nu^12
-34428558816*S3^4*nu^13-6836457024*S3^4*nu^12*w-404278125570*S3^3*nu^14+
37041201504*S3^3*nu^13*w+201980157552*S3^2*nu^15+115207590816*S3^2*nu^14*w-\
2448880128*S3^2*nu^13*w^2-13824443016*S3*nu^16-77761205280*S3*nu^15*w-\
11809800000*S3*nu^14*w^2+4125561984*nu^16*w+5942481408*nu^15*w^2-1478831904*S1^
5*nu^11-2656032768*S1^4*S3*nu^11+12155139612*S1^4*nu^12+770943744*S1^4*nu^11*w+
5154531552*S1^3*S3^2*nu^11+73122657012*S1^3*S3*nu^12+1511654400*S1^3*S3*nu^11*w
+1422297144*S1^3*nu^13-12857810400*S1^3*nu^12*w+14846335776*S1^2*S3^3*nu^11+
65227842162*S1^2*S3^2*nu^12-633005280*S1^2*S3^2*nu^11*w-95667115176*S1^2*S3*nu^
13-51960600576*S1^2*S3*nu^12*w-33295298670*S1^2*nu^14-41548188600*S1^2*nu^13*w-\
2403530496*S1^2*nu^12*w^2-8301817008*S1*S3^4*nu^11-254237013522*S1*S3^3*nu^12-\
1558893600*S1*S3^3*nu^11*w+804334690872*S1*S3^2*nu^13-59609886768*S1*S3^2*nu^12
*w-395483632704*S1*S3*nu^14-138878943984*S1*S3*nu^13*w+884317824*S1*S3*nu^12*w^
2+34295378790*S1*nu^15+121258519236*S1*nu^14*w+26801632512*S1*nu^13*w^2-\
17201682288*S3^5*nu^11+225038100960*S3^4*nu^12+714256704*S3^4*nu^11*w+
114790433688*S3^3*nu^13-56782463184*S3^3*nu^12*w-381750868890*S3^2*nu^14+
23904924768*S3^2*nu^13*w+3673320192*S3^2*nu^12*w^2+80698287258*S3*nu^15+
114283035108*S3*nu^14*w-574428672*S3*nu^13*w^2-2074449280*nu^16-21273531552*nu^
15*w-10551347712*nu^14*w^2-218816640*S1^5*nu^10-802016640*S1^4*S3*nu^10-\
9009826992*S1^4*nu^11-426972384*S1^3*S3^2*nu^10-13703053824*S1^3*S3*nu^11+
39941800488*S1^3*nu^12+10239149088*S1^3*nu^11*w+1588496832*S1^2*S3^3*nu^10+
30224474136*S1^2*S3^2*nu^11+125412684426*S1^2*S3*nu^12+21193394688*S1^2*S3*nu^
11*w-13750372728*S1^2*nu^13-38313248184*S1^2*nu^12*w-861643008*S1^2*nu^11*w^2+
1233572976*S1*S3^4*nu^10+14057668584*S1*S3^3*nu^11-426276151821*S1*S3^2*nu^12+
20334586032*S1*S3^2*nu^11*w+448267586832*S1*S3*nu^13-78266693880*S1*S3*nu^12*w-\
1632586752*S1*S3*nu^11*w^2-81255941151*S1*nu^14-70121678940*S1*nu^13*w-\
8941435776*S1*nu^12*w^2-1361433744*S3^5*nu^10-143593311168*S3^4*nu^11+
328915070037*S3^3*nu^12+18794588112*S3^3*nu^11*w+237853079370*S3^2*nu^13-\
129876937056*S3^2*nu^12*w-1224440064*S3^2*nu^11*w^2-181103048937*S3*nu^14-\
20885403852*S3*nu^13*w+13053135744*S3*nu^12*w^2+13459093600*nu^15+38718912384*
nu^14*w+5258037888*nu^13*w^2-629649288*S1^4*nu^10-8608586040*S1^3*S3*nu^10-\
23868364932*S1^3*nu^11-1026525312*S1^3*nu^10*w-15385515840*S1^2*S3^2*nu^10-\
14859005796*S1^2*S3*nu^11+2555955648*S1^2*S3*nu^10*w+55852615665*S1^2*nu^12+
37083559320*S1^2*nu^11*w+370355328*S1^2*nu^10*w^2+16792555824*S1*S3^3*nu^10+
99231459588*S1*S3^2*nu^11+4223814336*S1*S3^2*nu^10*w-284781095838*S1*S3*nu^12+
74422367784*S1*S3*nu^11*w-113374080*S1*S3*nu^10*w^2+99564201366*S1*nu^13-\
36665320356*S1*nu^12*w-786060288*S1*nu^11*w^2+20608888320*S3^4*nu^10-\
378832927320*S3^3*nu^11+234306432*S3^3*nu^10*w+204320284731*S3^2*nu^12+
80124926544*S3^2*nu^11*w+164349984474*S3*nu^13-110612957508*S3*nu^12*w-\
11004844032*S3*nu^11*w^2-34642589664*nu^14-18245360808*nu^13*w+7742189952*nu^12
*w^2+1069603056*S1^4*nu^9+1725583824*S1^3*S3*nu^9-5132215080*S1^3*nu^10-\
404927424*S1^3*nu^9*w-2469583728*S1^2*S3^2*nu^9-34468619796*S1^2*S3*nu^10-\
723074688*S1^2*S3*nu^9*w-29159456166*S1^2*nu^11-3163766688*S1^2*nu^10*w-\
3442198032*S1*S3^3*nu^9+13026702204*S1*S3^2*nu^10+129750336*S1*S3^2*nu^9*w+
102632853546*S1*S3*nu^11-2238718176*S1*S3*nu^10*w-66780366699*S1*nu^12+
60714686268*S1*nu^11*w+555532992*S1*nu^10*w^2+4493392704*S3^4*nu^9+140394281292
*S3^3*nu^10-177619392*S3^3*nu^9*w-431548595478*S3^2*nu^11-7175319552*S3^2*nu^10
*w+37840429773*S3*nu^12+107522341596*S3*nu^11*w+3518375616*S3*nu^10*w^2+
40003733816*nu^13-31587098256*nu^12*w-13589773056*nu^11*w^2+71129664*S1^4*nu^8+
213054624*S1^3*S3*nu^8+7020290088*S1^3*nu^9-58285008*S1^2*S3^2*nu^8+9506449656*
S1^2*S3*nu^9-14211478836*S1^2*nu^10-4994968032*S1^2*nu^9*w-409441392*S1*S3^3*nu
^8-15788874456*S1*S3^2*nu^9-16731046044*S1*S3*nu^10-7780611168*S1*S3*nu^9*w+
27122182926*S1*nu^11-13200055488*S1*nu^10*w+332563968*S1*nu^9*w^2+32752512*S3^4
*nu^8-1341575784*S3^3*nu^9+266082084486*S3^2*nu^10-5781448224*S3^2*nu^9*w-\
221148896706*S3*nu^11-20323003680*S3*nu^10*w-438379776*S3*nu^9*w^2-5226950804*
nu^12+45750057120*nu^11*w+8762556672*nu^10*w^2-624704400*S1^3*nu^8+2471473296*
S1^2*S3*nu^8+15694133616*S1^2*nu^9+990133632*S1^2*nu^8*w+2398999032*S1*S3^2*nu^
8-8485562916*S1*S3*nu^9+307369728*S1*S3*nu^8*w-11283092217*S1*nu^10-10748690928
*S1*nu^9*w-105815808*S1*nu^8*w^2-7579739592*S3^3*nu^8-48299203908*S3^2*nu^9+
773463168*S3^2*nu^8*w+198093944817*S3*nu^10-16773135264*S3*nu^9*w+60466176*S3*
nu^8*w^2-41687691018*nu^11-12695579712*nu^10*w-2814196608*nu^9*w^2-349815456*S1
^3*nu^7-434649888*S1^2*S3*nu^7-949935114*S1^2*nu^8+76702464*S1^2*nu^7*w+
748999872*S1*S3^2*nu^7+8279944578*S1*S3*nu^8+72923328*S1*S3*nu^7*w+3191659434*
S1*nu^9+4278658464*S1*nu^8*w+260293824*S3^3*nu^7-15454412172*S3^2*nu^8-42410304
*S3^2*nu^7*w-67790892762*S3*nu^9+7460154432*S3*nu^8*w+51309575018*nu^10-\
12612343464*nu^9*w+536637312*nu^8*w^2-10814688*S1^3*nu^6-9211968*S1^2*S3*nu^6-\
2161430568*S1^2*nu^7+35007552*S1*S3^2*nu^6-1496221416*S1*S3*nu^7+4095910251*S1*
nu^8+455020416*S1*nu^7*w-2962656*S3^3*nu^6+6116285376*S3^2*nu^7-4880992689*S3*
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S1^2*S3*nu^8-3888*S1^2*S3*nu^7*w+5400*S1^2*nu^8*w+311040*S1*S3^3*nu^7-603072*S1
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356544*S3^2*nu^8-1088640*S3^2*nu^7*w+620388*S3*nu^8*w-38880*S3*nu^7*w^2+31536*
nu^8*w^2+53568*P1^2*nu^7-2592*P1*S1^2*nu^6-69984*P1*S1*S3*nu^6+66456*P1*S1*nu^7
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1462572*S1*S3*nu^7+248832*S1*S3*nu^6*w-132160*S1*nu^8-405144*S1*nu^7*w+19440*S1
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1519668*S1*S3*nu^6-31104*S1*S3*nu^5*w+532400*S1*nu^7+419760*S1*nu^6*w+51840*S3^
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81760*nu^8-888780*nu^7*w+76464*nu^6*w^2+57600*P1*S1*nu^5-74880*P1*S3*nu^5-\
560700*P1*nu^6-8640*P1*nu^5*w-864*S1^3*nu^4-9504*S1^2*S3*nu^4+72816*S1^2*nu^5+
8640*S1*S3^2*nu^4+591648*S1*S3*nu^5-822313*S1*nu^6-156888*S1*nu^5*w-5184*S3^3*
nu^4+503136*S3^2*nu^5-1707877*S3*nu^6-535176*S3*nu^5*w+391220*nu^7+1252008*nu^6
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S3*nu^4+9792*S3*nu^3*w+699164*nu^5+136896*nu^4*w-5760*P1*nu^3+960*S1^2*nu^2+384
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w-476928*S1*S3^3*nu^9+382896*S1*S3^2*nu^10+657072*S1*S3^2*nu^9*w-425520*S1*S3*
nu^10*w-116640*S1*S3*nu^9*w^2+116640*S1*nu^10*w^2+117504*S3^3*nu^10+419904*S3^3
*nu^9*w-508032*S3^2*nu^10*w-209952*S3^2*nu^9*w^2+258552*S3*nu^10*w^2-48600*P1^2
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S3*nu^9+185760*P1*P3*nu^10+233280*P1*P3*nu^9*w-9720*P1*S1^2*S3*nu^8+59616*P1*S1
^2*nu^9-9720*P1*S1*S3^2*nu^8-756*P1*S1*S3*nu^9-4824*P1*S1*nu^10+91368*P1*S1*nu^
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58320*P3^2*nu^9*w-9720*P3*S1^3*nu^8-9720*P3*S1^2*S3*nu^8+58860*P3*S1^2*nu^9+
77760*P3*S1*S3^2*nu^8-597240*P3*S1*S3*nu^9+96480*P3*S1*nu^10+174960*P3*S1*nu^9*
w-476928*P3*S3^2*nu^9+206640*P3*S3*nu^10+27216*P3*S3*nu^9*w-35424*P3*nu^10*w+
23328*P3*nu^9*w^2-46656*S1^3*S3*nu^8+51192*S1^3*nu^9+34992*S1^3*nu^8*w-46656*S1
^2*S3^2*nu^8+128520*S1^2*S3*nu^9+19440*S1^2*S3*nu^8*w-20400*S1^2*nu^10-67716*S1
^2*nu^9*w+373248*S1*S3^3*nu^8-1287360*S1*S3^2*nu^9-388800*S1*S3^2*nu^8*w+265920
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273240*P1*P3*nu^9-46656*P1*S1^2*nu^8+87156*P1*S1*S3*nu^8-25056*P1*S1*nu^9-85536
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760104*nu^9*w^2+46656*P1^2*nu^8-3240*P1*P3*nu^8+12960*P1*S1^2*nu^7-69120*P1*S1*
S3*nu^7+109296*P1*S1*nu^8+24624*P1*S1*nu^7*w-198720*P1*S3^2*nu^7+1807866*P1*S3*
nu^8+38880*P1*S3*nu^7*w-544752*P1*nu^9-698976*P1*nu^8*w-233280*P3^2*nu^8-56160*
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1296*S1^3*S3*nu^6+40068*S1^3*nu^7-1296*S1^2*S3^2*nu^6-18540*S1^2*S3*nu^7-65004*
S1^2*nu^8+57996*S1^2*nu^7*w+10368*S1*S3^3*nu^6-892800*S1*S3^2*nu^7+2047236*S1*
S3*nu^8+739476*S1*S3*nu^7*w-352792*S1*nu^9-1312038*S1*nu^8*w-204120*S1*nu^7*w^2
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nu^7+9504*P1*S3^2*nu^6-870336*P1*S3*nu^7+906984*P1*nu^8+295920*P1*nu^7*w+64800*
P3^2*nu^7+10800*P3*S1^2*nu^6-8640*P3*S1*S3*nu^6-116280*P3*S1*nu^7+10368*P3*S3^2
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nu^7-120096*S1*S3*nu^6*w+809658*S1*nu^8+1113966*S1*nu^7*w+29160*S1*nu^6*w^2+
90720*S3^3*nu^6-1555908*S3^2*nu^7-176256*S3^2*nu^6*w+1910034*S3*nu^8+2859462*S3
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nu^6-21600*P1*P3*nu^6+75600*P1*S1*nu^6+135270*P1*S3*nu^6-730746*P1*nu^7-31968*
P1*nu^6*w-6480*P3^2*nu^6-7290*P3*S1*nu^6+82080*P3*S3*nu^6-398970*P3*nu^7+53568*
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22464*S1*S3^2*nu^5+833244*S1*S3*nu^6+4320*S1*S3*nu^5*w-1001244*S1*nu^7-476658*
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1085562*S3*nu^6*w+659736*nu^8+2197836*nu^7*w+223560*nu^6*w^2-17928*P1*S1*nu^5+
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127926*P3*nu^6-8640*P3*nu^5*w-108*S1^3*nu^4+1332*S1^2*S3*nu^4-44790*S1^2*nu^5+
576*S1*S3^2*nu^4-190920*S1*S3*nu^5+717753*S1*nu^6+93150*S1*nu^5*w+864*S3^3*nu^4
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1656*P1*S1*nu^4-2340*P1*S3*nu^4-29214*P1*nu^5-1260*P3*S1*nu^4-720*P3*S3*nu^4+
1890*P3*nu^5+12810*S1^2*nu^4+18600*S1*S3*nu^4-298692*S1*nu^5-6912*S1*nu^4*w+
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2592*P3*nu^3+120*S1^2*nu^2-120*S1*S3*nu^2-7176*S1*nu^3-24*S3^2*nu^2-4296*S3*nu^
3+126336*nu^4-1620*nu^3*w-216*P1*nu^2-216*P3*nu^2-99*S1*nu^2-675*S3*nu^2-16356*
nu^3+864*nu^2*w+104*S1*nu+104*S3*nu-252*nu^2-96*nu*w-8*S1-8*S3+320*nu-32];
