systS1P1S3 := [272097792*S1^9*S3*nu^22*w^2+816293376*S1^8*S3^2*nu^22*w^2-\
3537271296*S1^7*S3^3*nu^22*w^2-8435031552*S1^6*S3^4*nu^22*w^2+13060694016*S1^5*
S3^5*nu^22*w^2+17414258688*S1^4*S3^6*nu^22*w^2-8162933760*P1^3*S1^7*nu^22*w-\
57140536320*P1^3*S1^6*S3*nu^22*w+16325867520*P1^3*S1^5*S3^2*nu^22*w+
391820820480*P1^3*S1^4*S3^3*nu^22*w-5441955840*P1^2*S1^8*nu^22*w-35372712960*P1
^2*S1^7*S3*nu^22*w+19046845440*P1^2*S1^6*S3^2*nu^22*w+24488801280*P1^2*S1^6*S3*
nu^22*w^2+225841167360*P1^2*S1^5*S3^3*nu^22*w-29386561536*P1^2*S1^5*S3^2*nu^22*
w^2-84350315520*P1^2*S1^4*S3^4*nu^22*w-78364164096*P1^2*S1^4*S3^3*nu^22*w^2+
130606940160*P1^2*S1^3*S3^5*nu^22*w+174142586880*P1^2*S1^2*S3^6*nu^22*w+
1451188224*P1*S1^8*S3*nu^22*w-408146688*P1*S1^8*nu^22*w^2+4353564672*P1*S1^7*S3
^2*nu^22*w-2857026816*P1*S1^7*S3*nu^22*w^2-18865446912*P1*S1^6*S3^3*nu^22*w+
2584929024*P1*S1^6*S3^2*nu^22*w^2-44986834944*P1*S1^5*S3^4*nu^22*w+37141348608*
P1*S1^5*S3^3*nu^22*w^2+69657034752*P1*S1^4*S3^5*nu^22*w+16870063104*P1*S1^4*S3^
4*nu^22*w^2+92876046336*P1*S1^3*S3^6*nu^22*w-111015899136*P1*S1^3*S3^5*nu^22*w^
2-121899810816*P1*S1^2*S3^6*nu^22*w^2-181398528*S1^9*S3*nu^22*w-1632586752*S1^9
*S3*nu^21*w^2+90699264*S1^9*nu^22*w^2-544195584*S1^8*S3^2*nu^22*w-4897760256*S1
^8*S3^2*nu^21*w^2+1405838592*S1^8*S3*nu^22*w^2+2358180864*S1^7*S3^3*nu^22*w+
21223627776*S1^7*S3^3*nu^21*w^2-5139624960*S1^7*S3^2*nu^22*w^2+5033809152*S1^7*
S3*nu^22*w^3+5623354368*S1^6*S3^4*nu^22*w+50610189312*S1^6*S3^4*nu^21*w^2-\
26952797952*S1^6*S3^3*nu^22*w^2+10339716096*S1^6*S3^2*nu^22*w^3-8707129344*S1^5
*S3^5*nu^22*w-78364164096*S1^5*S3^5*nu^21*w^2+33679660032*S1^5*S3^4*nu^22*w^2-\
32787783936*S1^5*S3^3*nu^22*w^3-11609505792*S1^4*S3^6*nu^22*w-104485552128*S1^4
*S3^6*nu^21*w^2+84168916992*S1^4*S3^5*nu^22*w^2-52242776064*S1^4*S3^4*nu^22*w^3
+11609505792*S1^3*S3^6*nu^22*w^2+6530347008*S1^3*S3^5*nu^22*w^3+17414258688*S1^
2*S3^6*nu^22*w^3+1224440064000*P1^6*S1^4*nu^22+1591772083200*P1^5*S1^5*nu^22-\
285702681600*P1^5*S1^4*S3*nu^22-489776025600*P1^5*S1^4*nu^22*w+81629337600*P1^5
*S1^3*S3^2*nu^22+1959104102400*P1^5*S1^2*S3^3*nu^22+495217981440*P1^4*S1^6*nu^
22-336040773120*P1^4*S1^5*S3*nu^22-235364590080*P1^4*S1^5*nu^22*w+118362539520*
P1^4*S1^4*S3^2*nu^22+336040773120*P1^4*S1^4*S3*nu^22*w+48977602560*P1^4*S1^4*nu
^22*w^2+2262493140480*P1^4*S1^3*S3^3*nu^22-729222082560*P1^4*S1^3*S3^2*nu^22*w-\
210875788800*P1^4*S1^2*S3^4*nu^22-2024407572480*P1^4*S1^2*S3^3*nu^22*w+
326517350400*P1^4*S1*S3^5*nu^22+435356467200*P1^4*S3^6*nu^22-11790904320*P1^3*
S1^7*nu^22+24488801280*P1^3*S1^7*nu^21*w-75280389120*P1^3*S1^6*S3*nu^22+
171421608960*P1^3*S1^6*S3*nu^21*w+22448067840*P1^3*S1^6*nu^22*w+45349632000*P1^
3*S1^5*S3^2*nu^22-48977602560*P1^3*S1^5*S3^2*nu^21*w+114961317120*P1^3*S1^5*S3*
nu^22*w-118362539520*P1^3*S1^5*nu^22*w^2+471636172800*P1^3*S1^4*S3^3*nu^22-\
1175462461440*P1^3*S1^4*S3^3*nu^21*w+377172889344*P1^3*S1^4*S3^2*nu^22*w-\
318354416640*P1^3*S1^4*S3*nu^22*w^2-224934174720*P1^3*S1^3*S3^4*nu^22-\
700787863296*P1^3*S1^3*S3^3*nu^22*w+45712429056*P1^3*S1^3*S3^2*nu^22*w^2+
348285173760*P1^3*S1^2*S3^5*nu^22+106118138880*P1^3*S1^2*S3^4*nu^22*w+
130606940160*P1^3*S1^2*S3^3*nu^22*w^2+464380231680*P1^3*S1*S3^6*nu^22-\
555079495680*P1^3*S1*S3^5*nu^22*w-609499054080*P1^3*S3^6*nu^22*w+1813985280*P1^
2*S1^8*nu^22+23128312320*P1^2*S1^8*nu^21*w+13725821952*P1^2*S1^7*S3*nu^22+
148293296640*P1^2*S1^7*S3*nu^21*w-27723741696*P1^2*S1^7*nu^22*w-544195584*P1^2*
S1^6*S3^2*nu^22-87071293440*P1^2*S1^6*S3^2*nu^21*w-76973442048*P1^2*S1^6*S3*nu^
22*w-97955205120*P1^2*S1^6*S3*nu^21*w^2-44215891200*P1^2*S1^6*nu^22*w^2-\
100434318336*P1^2*S1^5*S3^3*nu^22-933295426560*P1^2*S1^5*S3^3*nu^21*w+
514899721728*P1^2*S1^5*S3^2*nu^22*w+117546246144*P1^2*S1^5*S3^2*nu^21*w^2-\
138543125760*P1^2*S1^5*S3*nu^22*w^2+6530347008*P1^2*S1^5*nu^22*w^3-31865674752*
P1^2*S1^4*S3^4*nu^22+421751577600*P1^2*S1^4*S3^4*nu^21*w+298521510912*P1^2*S1^4
*S3^3*nu^22*w+313456656384*P1^2*S1^4*S3^3*nu^21*w^2-284387542272*P1^2*S1^4*S3^2
*nu^22*w^2+100404085248*P1^2*S1^4*S3*nu^22*w^3+49340399616*P1^2*S1^3*S3^5*nu^22
-653034700800*P1^2*S1^3*S3^5*nu^21*w+452528861184*P1^2*S1^3*S3^4*nu^22*w-\
570180923136*P1^2*S1^3*S3^3*nu^22*w^2+48977602560*P1^2*S1^3*S3^2*nu^22*w^3+
65787199488*P1^2*S1^2*S3^6*nu^22-870712934400*P1^2*S1^2*S3^6*nu^21*w+
515171819520*P1^2*S1^2*S3^5*nu^22*w-370597192704*P1^2*S1^2*S3^4*nu^22*w^2+
39182082048*P1^2*S1^2*S3^3*nu^22*w^3-267018633216*P1^2*S1*S3^6*nu^22*w+
261213880320*P1^2*S1*S3^5*nu^22*w^2+300395962368*P1^2*S3^6*nu^22*w^2-483729408*
P1*S1^8*S3*nu^22-9069926400*P1*S1^8*S3*nu^21*w+755827200*P1*S1^8*nu^22*w+
2448880128*P1*S1^8*nu^21*w^2-1451188224*P1*S1^7*S3^2*nu^22-27209779200*P1*S1^7*
S3^2*nu^21*w+9402490368*P1*S1^7*S3*nu^22*w+17142160896*P1*S1^7*S3*nu^21*w^2-\
2244806784*P1*S1^7*nu^22*w^2+6288482304*P1*S1^6*S3^3*nu^22+117909043200*P1*S1^6
*S3^3*nu^21*w-29134619136*P1*S1^6*S3^2*nu^22*w-15509574144*P1*S1^6*S3^2*nu^21*w
^2+23453318016*P1*S1^6*S3*nu^22*w^2-7550713728*P1*S1^6*nu^22*w^3+14995611648*P1
*S1^5*S3^4*nu^22+281167718400*P1*S1^5*S3^4*nu^21*w-168509154816*P1*S1^5*S3^3*nu
^22*w-222848091648*P1*S1^5*S3^3*nu^21*w^2+125701621632*P1*S1^5*S3^2*nu^22*w^2-\
39454179840*P1*S1^5*S3*nu^22*w^3-2720977920*P1*S1^5*nu^22*w^4-23219011584*P1*S1
^4*S3^5*nu^22-435356467200*P1*S1^4*S3^5*nu^21*w+168378144768*P1*S1^4*S3^4*nu^22
*w-101220378624*P1*S1^4*S3^4*nu^21*w^2-70359954048*P1*S1^4*S3^3*nu^22*w^2+
8230958208*P1*S1^4*S3^2*nu^22*w^3-19046845440*P1*S1^4*S3*nu^22*w^4-30958682112*
P1*S1^3*S3^6*nu^22-580475289600*P1*S1^3*S3^6*nu^21*w+522911490048*P1*S1^3*S3^5*
nu^22*w+666095394816*P1*S1^3*S3^5*nu^21*w^2-603361737216*P1*S1^3*S3^4*nu^22*w^2
+257268462336*P1*S1^3*S3^3*nu^22*w^3+5441955840*P1*S1^3*S3^2*nu^22*w^4+
143183904768*P1*S1^2*S3^6*nu^22*w+731398864896*P1*S1^2*S3^6*nu^21*w^2-\
567414595584*P1*S1^2*S3^5*nu^22*w^2+248697381888*P1*S1^2*S3^4*nu^22*w^3+
130606940160*P1*S1^2*S3^3*nu^22*w^4+5804752896*P1*S1*S3^6*nu^22*w^2-32651735040
*P1*S1*S3^5*nu^22*w^3-60949905408*P1*S3^6*nu^22*w^3+30233088*S1^9*S3*nu^22+
1269789696*S1^9*S3*nu^21*w+4081466880*S1^9*S3*nu^20*w^2-60466176*S1^9*nu^22*w-\
657569664*S1^9*nu^21*w^2+90699264*S1^8*S3^2*nu^22+3809369088*S1^8*S3^2*nu^21*w+
12244400640*S1^8*S3^2*nu^20*w^2-937225728*S1^8*S3*nu^22*w-8593755264*S1^8*S3*nu
^21*w^2+377913600*S1^8*nu^22*w^2-393030144*S1^7*S3^3*nu^22-16507266048*S1^7*S3^
3*nu^21*w-53059069440*S1^7*S3^3*nu^20*w^2+3426416640*S1^7*S3^2*nu^22*w+
38327997312*S1^7*S3^2*nu^21*w^2-6124719744*S1^7*S3*nu^22*w^2-35236664064*S1^7*
S3*nu^21*w^3+1677936384*S1^7*nu^22*w^3-937225728*S1^6*S3^4*nu^22-39363480576*S1
^6*S3^4*nu^21*w-126525473280*S1^6*S3^4*nu^20*w^2+17968531968*S1^6*S3^3*nu^22*w+
175692032640*S1^6*S3^3*nu^21*w^2-37538577792*S1^6*S3^2*nu^22*w^2-72378012672*S1
^6*S3^2*nu^21*w^3+19832905728*S1^6*S3*nu^22*w^3-1609911936*S1^6*nu^22*w^4+
1451188224*S1^5*S3^5*nu^22+60949905408*S1^5*S3^5*nu^21*w+195910410240*S1^5*S3^5
*nu^20*w^2-22453106688*S1^5*S3^4*nu^22*w-246308967936*S1^5*S3^4*nu^21*w^2+
56327602176*S1^5*S3^3*nu^22*w^2+229514487552*S1^5*S3^3*nu^21*w^3-48985160832*S1
^5*S3^2*nu^22*w^3+18321251328*S1^5*S3*nu^22*w^4+1934917632*S1^4*S3^6*nu^22+
81266540544*S1^4*S3^6*nu^21*w+261213880320*S1^4*S3^6*nu^20*w^2-56112611328*S1^4
*S3^5*nu^22*w-559070263296*S1^4*S3^5*nu^21*w^2+202773321216*S1^4*S3^4*nu^22*w^2
+365699432448*S1^4*S3^4*nu^21*w^3-174014096256*S1^4*S3^3*nu^22*w^3+47911886208*
S1^4*S3^2*nu^22*w^4+8162933760*S1^4*S3*nu^22*w^5-7739670528*S1^3*S3^6*nu^22*w-\
84168916992*S1^3*S3^6*nu^21*w^2+43777511424*S1^3*S3^5*nu^22*w^2-45712429056*S1^
3*S3^5*nu^21*w^3-19560807936*S1^3*S3^4*nu^22*w^3+9387373824*S1^3*S3^3*nu^22*w^4
-9795520512*S1^3*S3^2*nu^22*w^5-15479341056*S1^2*S3^6*nu^22*w^2-121899810816*S1
^2*S3^6*nu^21*w^3+75461787648*S1^2*S3^5*nu^22*w^3-43263548928*S1^2*S3^4*nu^22*w
^4-26121388032*S1^2*S3^3*nu^22*w^5+5804752896*S1*S3^6*nu^22*w^3+4353564672*S3^6
*nu^22*w^4-1632586752000*P1^7*S1^2*nu^22-476171136000*P1^6*S1^3*nu^22+
435356467200*P1^6*S1^2*S3*nu^22-1795845427200*P1^6*S1^2*nu^22*w-54419558400*P1^
6*S1*S3^2*nu^22-1306069401600*P1^6*S3^3*nu^22-1959104102400*P1^5*S1^5*nu^21+
571405363200*P1^5*S1^4*S3*nu^21+2366343797760*P1^5*S1^4*nu^22+489776025600*P1^5
*S1^4*nu^21*w-163258675200*P1^5*S1^3*S3^2*nu^21+274365273600*P1^5*S1^3*S3*nu^22
-3944057495040*P1^5*S1^3*nu^22*w-3918208204800*P1^5*S1^2*S3^3*nu^21+
4404356259840*P1^5*S1^2*S3^2*nu^22-1553678392320*P1^5*S1^2*S3*nu^22*w+
914248581120*P1^5*S1^2*nu^22*w^2-165979653120*P1^5*S1*S3^3*nu^22+397262776320*
P1^5*S1*S3^2*nu^22*w+108839116800*P1^5*S3^4*nu^22-783641640960*P1^5*S3^3*nu^22*
w-1201311751680*P1^4*S1^6*nu^21+1087030679040*P1^4*S1^5*S3*nu^21+1163822722560*
P1^4*S1^5*nu^22+461205757440*P1^4*S1^5*nu^21*w-399983754240*P1^4*S1^4*S3^2*nu^
21-370582076160*P1^4*S1^4*S3*nu^22-1008122319360*P1^4*S1^4*S3*nu^21*w-\
1822677292800*P1^4*S1^4*nu^22*w-97955205120*P1^4*S1^4*nu^21*w^2-7286778869760*
P1^4*S1^3*S3^3*nu^21+5220196139520*P1^4*S1^3*S3^2*nu^22+2187666247680*P1^4*S1^3
*S3^2*nu^21*w-2346465542400*P1^4*S1^3*S3*nu^22*w+1316953313280*P1^4*S1^3*nu^22*
w^2+843503155200*P1^4*S1^2*S3^4*nu^21+2280708576000*P1^4*S1^2*S3^3*nu^22+
6073222717440*P1^4*S1^2*S3^3*nu^21*w-5129421292800*P1^4*S1^2*S3^2*nu^22*w+
1435315852800*P1^4*S1^2*S3*nu^22*w^2+718338170880*P1^4*S1^2*nu^22*w^3-\
1306069401600*P1^4*S1*S3^5*nu^21+1253766159360*P1^4*S1*S3^4*nu^22-3649647684096
*P1^4*S1*S3^3*nu^22*w+690040000512*P1^4*S1*S3^2*nu^22*w^2-1741425868800*P1^4*S3
^6*nu^21+1951848161280*P1^4*S3^5*nu^22-761873817600*P1^4*S3^4*nu^22*w+
1449737035776*P1^4*S3^3*nu^22*w^2+54419558400*P1^3*S1^7*nu^21-24488801280*P1^3*
S1^7*nu^20*w+342843217920*P1^3*S1^6*S3*nu^21-171421608960*P1^3*S1^6*S3*nu^20*w-\
78510290688*P1^3*S1^6*nu^22-138089629440*P1^3*S1^6*nu^21*w-223120189440*P1^3*S1
^5*S3^2*nu^21+48977602560*P1^3*S1^5*S3^2*nu^20*w-179730669312*P1^3*S1^5*S3*nu^
22-641470544640*P1^3*S1^5*S3*nu^21*w+170416358784*P1^3*S1^5*nu^22*w+
473450158080*P1^3*S1^5*nu^21*w^2-2116920821760*P1^3*S1^4*S3^3*nu^21+
1175462461440*P1^3*S1^4*S3^3*nu^20*w+1176717134592*P1^3*S1^4*S3^2*nu^22-\
1264393089792*P1^3*S1^4*S3^2*nu^21*w-60519083904*P1^3*S1^4*S3*nu^22*w+
1273417666560*P1^3*S1^4*S3*nu^21*w^2+55530624384*P1^3*S1^4*nu^22*w^2+
1180904417280*P1^3*S1^3*S3^4*nu^21+626222990592*P1^3*S1^3*S3^3*nu^22+
3412514458368*P1^3*S1^3*S3^3*nu^21*w-2313362830464*P1^3*S1^3*S3^2*nu^22*w-\
182849716224*P1^3*S1^3*S3^2*nu^21*w^2+514793905920*P1^3*S1^3*S3*nu^22*w^2+
730854669312*P1^3*S1^3*nu^22*w^3-1828497162240*P1^3*S1^2*S3^5*nu^21+
1051406023680*P1^3*S1^2*S3^4*nu^22-530590694400*P1^3*S1^2*S3^4*nu^21*w-\
2600536855680*P1^3*S1^2*S3^3*nu^22*w-522427760640*P1^3*S1^2*S3^3*nu^21*w^2+
1039194375552*P1^3*S1^2*S3^2*nu^22*w^2-274818769920*P1^3*S1^2*S3*nu^22*w^3-\
326517350400*P1^3*S1^2*nu^22*w^4-2437996216320*P1^3*S1*S3^6*nu^21+2348264411136
*P1^3*S1*S3^5*nu^22+2775397478400*P1^3*S1*S3^5*nu^21*w-2833958969856*P1^3*S1*S3
^4*nu^22*w+2276098030080*P1^3*S1*S3^3*nu^22*w^2-28298170368*P1^3*S1*S3^2*nu^22*
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4509727416*P1*S1*nu^9-392325120*P1*S1*nu^8*w+321607584*P1*S3^2*nu^8+8751348360*
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107619840*P1*nu^8*w^2-49439808*S1^4*nu^7+25546752*S1^3*S3*nu^7+2006746128*S1^3*
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S1*S3^3*nu^7-14677383402*S1*S3^2*nu^8-25857792*S1*S3^2*nu^7*w+78974147055*S1*S3
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1234841760*S1*S3*nu^7*w+46841789408*S1*nu^9+23653271376*S1*nu^8*w+182798208*S1*
nu^7*w^2+1181952*S3^4*nu^6+1173742848*S3^3*nu^7-25098342756*S3^2*nu^8-903475296
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27416104182*S1*nu^8-5280178968*S1*nu^7*w+14670720*S1*nu^6*w^2-36661824*S3^3*nu^
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354240*S1^2*nu^5*w-10152576*S1*S3^2*nu^5-880276920*S1*S3*nu^6+2592000*S1*S3*nu^
5*w+9878782440*S1*nu^7+592573824*S1*nu^6*w-7971840*S3^3*nu^5-628522140*S3^2*nu^
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3021285576*nu^7*w-9839232*nu^6*w^2-3548160*P1*S1*nu^5-13377024*P1*S3*nu^5-\
446507424*P1*nu^6-13271040*P1*nu^5*w+610560*S1^3*nu^4-35712*S1^2*S3*nu^4+
35754816*S1^2*nu^5+664704*S1*S3^2*nu^4-6945024*S1*S3*nu^5-2122923510*S1*nu^6-\
33441984*S1*nu^5*w+543744*S3^3*nu^4-20028480*S3^2*nu^5-2517517062*S3*nu^6-\
570240*S3*nu^5*w+2554211880*nu^7+647734560*nu^6*w-9891072*nu^5*w^2+46080*P1*S1*
nu^4+1414656*P1*S3*nu^4+63386496*P1*nu^5+8199360*S1^2*nu^4+11450880*S1*S3*nu^4+
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10561536*S3*nu^4*w-883371048*nu^6-67852272*nu^5*w+1347840*nu^4*w^2+8028288*P1*
nu^4-1848576*S1^2*nu^3-872448*S1*S3*nu^3-1734792*S1*nu^4-195840*S1*nu^3*w-\
496128*S3^2*nu^3+18443064*S3*nu^4+778752*S3*nu^3*w+177089328*nu^5+14129664*nu^4
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nu^2-6743040*S3*nu^3-27176400*nu^4-5816064*nu^3*w+207360*P1*nu^2+69120*S1*nu^2+
393984*S3*nu^2+8047104*nu^3+1061376*nu^2*w+26112*S1*nu+26112*S3*nu-2442240*nu^2
-65280*nu*w-2560*S1-2560*S3+375552*nu-21760, 20995200*P1*S1^6*nu^16+13996800*S1
^7*nu^16-4199040*S1^6*nu^16*w-62985600*P1^2*S1^4*nu^16-4199040*P1*S1^5*nu^16+
6298560*P1*S1^4*S3*nu^16-50388480*P1*S1^4*nu^16*w+44089920*P1*S1^3*S3^2*nu^16-\
17496000*S1^7*nu^15+34058880*S1^6*nu^16+4199040*S1^6*nu^15*w+4199040*S1^5*S3*nu
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12597120*S1^4*nu^16*w^2-8817984*S1^3*S3^2*nu^16*w+47239200*P1^3*S1^2*nu^16-\
52488000*P1^2*S1^3*nu^16-9447840*P1^2*S1^2*S3*nu^16+85030560*P1^2*S1^2*nu^16*w-\
66134880*P1^2*S1*S3^2*nu^16+71383680*P1*S1^5*nu^15-12597120*P1*S1^4*S3*nu^15-\
56249640*P1*S1^4*nu^16+50388480*P1*S1^4*nu^15*w-88179840*P1*S1^3*S3^2*nu^15+
75057840*P1*S1^3*S3*nu^16-38841120*P1*S1^3*nu^16*w+3149280*P1*S1^2*S3^2*nu^16+
28343520*P1*S1^2*nu^16*w^2+14171760*P1*S1*S3^3*nu^16-52907904*P1*S1*S3^2*nu^16*
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40940640*P1^3*S1*nu^16-76107600*P1^2*S1^3*nu^15+18895680*P1^2*S1^2*S3*nu^15+
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-118098000*P1^2*S1*S3*nu^16+122821920*P1^2*S1*nu^16*w-36216720*P1^2*S3^2*nu^16-\
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406362096*P1*S3^2*nu^15+110854656*P1*S3^2*nu^14*w-58767120*P1*S3*nu^16-58156704
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1049760*S1^5*S3*nu^12+173137500*S1^5*nu^13+7348320*S1^4*S3^2*nu^12-199804320*S1
^4*S3*nu^13+65242260*S1^4*nu^14+13034520*S1^4*nu^13*w-56127168*S1^3*S3^2*nu^13+
594368280*S1^3*S3*nu^14+98257536*S1^3*S3*nu^13*w-187668873*S1^3*nu^15-399352032
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S3^2*nu^14+208482336*S1^2*S3^2*nu^13*w-276960708*S1^2*S3*nu^15-975961872*S1^2*
S3*nu^14*w-37791360*S1^2*S3*nu^13*w^2+24255342*S1^2*nu^16+394361298*S1^2*nu^15*
w+636154560*S1^2*nu^14*w^2+9447840*S1^2*nu^13*w^3+59049000*S1*S3^4*nu^13-\
296408484*S1*S3^3*nu^14-9447840*S1*S3^3*nu^13*w+158336613*S1*S3^2*nu^15-\
208167408*S1*S3^2*nu^14*w-52907904*S1*S3^2*nu^13*w^2-3844260*S1*S3*nu^16+
327551364*S1*S3*nu^15*w+319336992*S1*S3*nu^14*w^2-36678096*S1*nu^16*w-430249968
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99878832*S3^3*nu^15+196830000*S3^3*nu^14*w-19179018*S3^2*nu^16-132938982*S3^2*
nu^15*w-14171760*S3^2*nu^14*w^2+5268240*S3*nu^16*w-5143824*S3*nu^15*w^2+
19891008*nu^16*w^2+108125280*nu^15*w^3-25194240*P1^3*nu^14+25719120*P1^2*S1^2*
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w-53537760*P1^2*S3^2*nu^13-152740080*P1^2*S3*nu^14+109108944*P1^2*nu^15+
22044960*P1^2*nu^14*w+69459120*P1*S1^4*nu^12-19420560*P1*S1^3*S3*nu^12-\
506820240*P1*S1^3*nu^13-62985600*P1*S1^2*S3^2*nu^12+534852720*P1*S1^2*S3*nu^13-\
3689712*P1*S1^2*nu^14-421478640*P1*S1^2*nu^13*w+14171760*P1*S1*S3^3*nu^12+
221709312*P1*S1*S3^2*nu^13-831748176*P1*S1*S3*nu^14+293512896*P1*S1*S3*nu^13*w+
182530260*P1*S1*nu^15+482539680*P1*S1*nu^14*w-49128768*P1*S1*nu^13*w^2-7085880*
P1*S3^4*nu^12+473441760*P1*S3^3*nu^13-1076607612*P1*S3^2*nu^14-216670464*P1*S3^
2*nu^13*w+409267404*P1*S3*nu^15+391770432*P1*S3*nu^14*w-19618560*P1*nu^16-\
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83980800*P1*S1^2*nu^12*w-106603128*P1*S1*S3^2*nu^12+1088647776*P1*S1*S3*nu^13-\
57946752*P1*S1*S3*nu^12*w-523179000*P1*S1*nu^14-436606848*P1*S1*nu^13*w-1889568
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413033904*P1*nu^14*w+132269760*P1*nu^13*w^2-29830680*S1^5*nu^11+11809800*S1^4*
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127359216*S1^3*S3*nu^12-5983632*S1^3*S3*nu^11*w-367544304*S1^3*nu^13+246893832*
S1^3*nu^12*w-21257640*S1^2*S3^3*nu^11-189569160*S1^2*S3^2*nu^12-314928*S1^2*S3^
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-4921344*S1*nu^3*w^2+24231552*S3^2*nu^4-156672*S3^2*nu^3*w+288346896*S3*nu^5-\
122201088*S3*nu^4*w+562176*S3*nu^3*w^2-3464529072*nu^6-961022880*nu^5*w-\
158478336*nu^4*w^2-1175040*nu^3*w^3+153600*P1*S1^2*nu^2+15360*P1*S1*S3*nu^2+
8417280*P1*S1*nu^3+374784*P1*S3*nu^3-17732352*P1*nu^4+506880*P1*nu^3*w-121728*
S1^3*nu^2-144768*S1^2*S3*nu^2-4364544*S1^2*nu^3+26112*S1*S3^2*nu^2+12047872*S1*
S3*nu^3-248832*S1*S3*nu^2*w+129234528*S1*nu^4+28988928*S1*nu^3*w+241920*S1*nu^2
*w^2-887808*S3^2*nu^3+92645488*S3*nu^4+5391360*S3*nu^3*w-46080*S3*nu^2*w^2+
665362656*nu^5+267107328*nu^4*w+22629888*nu^3*w^2-384000*P1*S1*nu^2-30720*P1*S3
*nu^2-569856*P1*nu^3+25856*S1^3*nu+25856*S1^2*S3*nu+155904*S1^2*nu^2+56832*S1*
S3*nu^2+15360*S1*S3*nu*w-27333120*S1*nu^3-3442176*S1*nu^2*w-26112*S3^2*nu^2-\
16399360*S3*nu^3+405504*S3*nu^2*w-142963616*nu^4-62949888*nu^3*w-1175040*nu^2*w
^2+84480*P1*nu^2-1280*S1^3-1280*S1^2*S3-88064*S1*S3*nu+5442816*S1*nu^2+161280*
S1*nu*w+563712*S3*nu^2-30720*S3*nu*w+38581760*nu^3+7934976*nu^2*w+5120*S1*S3-\
600576*S1*nu+72704*S3*nu-8019456*nu^2-391680*nu*w+26880*S1-5120*S3+925184*nu-\
43520, 46656*P1*S1^2*S3*nu^8+46656*P1*S1*S3^2*nu^8-373248*P1*S3^3*nu^8+31104*S1
^3*S3*nu^8+3888*S1^3*nu^8*w+31104*S1^2*S3^2*nu^8+3888*S1^2*S3*nu^8*w-248832*S1*
S3^3*nu^8+46656*S1*S3^2*nu^8*w+186624*S3^3*nu^8*w+19440*P1^2*S1*nu^8-27216*P1^2
*S3*nu^8+57672*P1*S1^2*nu^8+60264*P1*S1*S3*nu^8-7776*P1*S1*nu^8*w-943488*P1*S3^
2*nu^8+132192*P1*S3*nu^8*w-38880*S1^3*S3*nu^7+30240*S1^3*nu^8-3888*S1^3*nu^7*w-\
38880*S1^2*S3^2*nu^7+73440*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*S3^2*nu^8-46656*S1*S3^2*nu^7*w+192456*S1*S3*nu^8*
w+19440*S1*nu^8*w^2-145152*S3^3*nu^8-186624*S3^3*nu^7*w+565056*S3^2*nu^8*w+
19440*S3*nu^8*w^2-30672*P1^2*nu^8-49248*P1*S1^2*nu^7+38880*P1*S1*S3*nu^7+19620*
P1*S1*nu^8+7776*P1*S1*nu^7*w+813888*P1*S3^2*nu^7-813960*P1*S3*nu^8-132192*P1*S3
*nu^7*w+125280*P1*nu^8*w+7776*S1^3*S3*nu^6-61020*S1^3*nu^7+7776*S1^2*S3^2*nu^6-\
108108*S1^2*S3*nu^7+42000*S1^2*nu^8-4536*S1^2*nu^7*w-62208*S1*S3^3*nu^6+1256256
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nu^7*w^2+331776*S3^3*nu^7-356544*S3^2*nu^8-1088640*S3^2*nu^7*w+620388*S3*nu^8*w
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*S3*nu^6+66456*P1*S1*nu^7+36288*P1*S3^2*nu^6+1429128*P1*S3*nu^7-241488*P1*nu^8-\
251424*P1*nu^7*w+33372*S1^3*nu^6+972*S1^2*S3*nu^6-78030*S1^2*nu^7-5184*S1^2*nu^
6*w-741312*S1*S3^2*nu^6+1462572*S1*S3*nu^7+248832*S1*S3*nu^6*w-132160*S1*nu^8-\
405144*S1*nu^7*w+19440*S1*nu^6*w^2-233280*S3^3*nu^6+1100736*S3^2*nu^7+528768*S3
^2*nu^6*w-294220*S3*nu^8-1779372*S3*nu^7*w+19440*S3*nu^6*w^2+234768*nu^8*w-\
87264*nu^7*w^2-19008*P1^2*nu^6-145368*P1*S1*nu^6-557064*P1*S3*nu^6+654588*P1*nu
^7+134784*P1*nu^6*w-1728*S1^3*nu^5+43200*S1^2*S3*nu^5-810*S1^2*nu^6+4320*S1^2*
nu^5*w+79488*S1*S3^2*nu^5-1519668*S1*S3*nu^6-31104*S1*S3*nu^5*w+532400*S1*nu^7+
419760*S1*nu^6*w+51840*S3^3*nu^5-1190160*S3^2*nu^6-5184*S3^2*nu^5*w+1152536*S3*
nu^7+1702224*S3*nu^6*w-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*w-17280*nu^5*w^2+4608*P1*S1*nu^4+10944*P1*S3*nu^4+112608*P1*
nu^5-38664*S1^2*nu^4-36432*S1*S3*nu^4+588338*S1*nu^5+4032*S1*nu^4*w-54864*S3^2*
nu^4+1141922*S3*nu^5-17856*S3*nu^4*w-744988*nu^6-759660*nu^5*w-3456*nu^4*w^2+
41904*P1*nu^4+1728*S1^2*nu^3-10368*S1*S3*nu^3-173017*S1*nu^4+4032*S1*nu^3*w-\
3456*S3^2*nu^3-291817*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*S1*S3*nu^2+848*S1*nu^3+1152*S3^2*nu^2-8368*S3*nu^3-\
310804*nu^4+31680*nu^3*w-1152*P1*nu^2+6224*S1*nu^2+8144*S3*nu^2+36224*nu^3-6144
*nu^2*w-256*S1*nu-256*S3*nu+12992*nu^2-768*nu*w-64*S1-64*S3-1792*nu-256];
