=== Primary invariants ===

x[0]^3*x[1]+(-z^3+1)*x[1]*x[2]^3+(-3*z^5)*x[0]*x[1]*x[2]*x[3]+x[1]*x[3]^3,

3*x[1]^6+(5*z^4-5*z)*x[0]^4*x[2]^2+(2*z^4)*x[0]*x[2]^5+(-2*z^3+2)*x[0]^5*x[3]+(-20*z^3)*x[0]^2*x[2]^3*x[3]+(20*z^2)*x[0]^3*x[2]*x[3]^2+(-5*z^5+5*z^2)*x[2]^4*x[3]^2+(20*z^4-20*z)*x[0]*x[2]^2*x[3]^3+(-5*z^3+5)*x[0]^2*x[3]^4+(2*z^2)*x[2]*x[3]^5,

81*x[1]^12+(-4*z^5+4*z^2)*x[0]^11*x[2]+(-165*z^5)*x[0]^8*x[2]^4+(-264*z^2)*x[0]^5*x[2]^7+(22*z^5-22*z^2)*x[0]^2*x[2]^10+(220*z^4)*x[0]^9*x[2]^2*x[3]+(1848*z)*x[0]^6*x[2]^5*x[3]+(-660*z^4+660*z)*x[0]^3*x[2]^8*x[3]+(-4*z^4)*x[2]^11*x[3]+(-22*z^3)*x[0]^10*x[3]^2-2640*x[0]^7*x[2]^3*x[3]^2+(4620*z^3-4620)*x[0]^4*x[2]^6*x[3]^2+(220*z^3)*x[0]*x[2]^9*x[3]^2+(-660*z^5+660*z^2)*x[0]^8*x[2]*x[3]^3+(-9240*z^5)*x[0]^5*x[2]^4*x[3]^3+(-2640*z^2)*x[0]^2*x[2]^7*x[3]^3+(4620*z^4)*x[0]^6*x[2]^2*x[3]^4+(9240*z)*x[0]^3*x[2]^5*x[3]^4+(-165*z^4+165*z)*x[2]^8*x[3]^4+(-264*z^3)*x[0]^7*x[3]^5-9240*x[0]^4*x[2]^3*x[3]^5+(1848*z^3-1848)*x[0]*x[2]^6*x[3]^5+(-1848*z^5+1848*z^2)*x[0]^5*x[2]*x[3]^6+(-4620*z^5)*x[0]^2*x[2]^4*x[3]^6+(2640*z^4)*x[0]^3*x[2]^2*x[3]^7+(264*z)*x[2]^5*x[3]^7+(-165*z^3)*x[0]^4*x[3]^8-660*x[0]*x[2]^3*x[3]^8+(-220*z^5+220*z^2)*x[0]^2*x[2]*x[3]^9+(22*z^4)*x[2]^2*x[3]^10+(-4*z^3)*x[0]*x[3]^11,

528821*x[0]^18+36756720*x[0]^9*x[1]^9-729*x[1]^18+(-164402784*z^5+164402784*z^2)*x[0]^11*x[1]^6*x[2]+(594864*z^5-594864*z^2)*x[0]^2*x[1]^15*x[2]+(-60918480*z^4+60918480*z)*x[0]^13*x[1]^3*x[2]^2+(67665780*z^4-67665780*z)*x[0]^4*x[1]^12*x[2]^2+(-425136*z^3+425136)*x[0]^15*x[2]^3+(882161280*z^3-882161280)*x[0]^6*x[1]^9*x[2]^3+(1902160260*z^5)*x[0]^8*x[1]^6*x[2]^4+(485188704*z^4)*x[0]^10*x[1]^3*x[2]^5+(-27066312*z^4)*x[0]*x[1]^12*x[2]^5+(6534528*z^3)*x[0]^12*x[2]^6+(-110270160*z^3)*x[0]^3*x[1]^9*x[2]^6+(-926269344*z^2)*x[0]^5*x[1]^6*x[2]^7+(-283551840*z)*x[0]^7*x[1]^3*x[2]^8+5299580*x[0]^9*x[2]^9-36756720*x[1]^9*x[2]^9+(-187459272*z^5+187459272*z^2)*x[0]^2*x[1]^6*x[2]^10+(10024560*z^4-10024560*z)*x[0]^4*x[1]^3*x[2]^11+(-3360084*z^3+3360084)*x[0]^6*x[2]^12+(-7050240*z^4)*x[0]*x[1]^3*x[2]^14+(-44880*z^3)*x[0]^3*x[2]^15+528821*x[2]^18+(-7050240*z^3+7050240)*x[0]^14*x[1]^3*x[3]+(27066312*z^3-27066312)*x[0]^5*x[1]^12*x[3]+(-145350*z^5)*x[0]^16*x[2]*x[3]+(661620960*z^5)*x[0]^7*x[1]^9*x[2]*x[3]+(2095133040*z^4)*x[0]^9*x[1]^6*x[2]^2*x[3]+(-594864*z^4)*x[1]^15*x[2]^2*x[3]+(721768320*z^3)*x[0]^11*x[1]^3*x[2]^3*x[3]+(10110240*z^2)*x[0]^13*x[2]^4*x[3]+(-1654052400*z^2)*x[0]^4*x[1]^9*x[2]^4*x[3]+(-4631346720*z)*x[0]^6*x[1]^6*x[2]^5*x[3]-1654052400*x[0]^8*x[1]^3*x[2]^6*x[3]+(-13302432*z^5+13302432*z^2)*x[0]^10*x[2]^7*x[3]+(-661620960*z^5+661620960*z^2)*x[0]*x[1]^9*x[2]^7*x[3]+(661620960*z^4-661620960*z)*x[0]^3*x[1]^6*x[2]^8*x[3]+(-441080640*z^3+441080640)*x[0]^5*x[1]^3*x[2]^9*x[3]+(-32205888*z^5)*x[0]^7*x[2]^10*x[3]+(-164402784*z^4)*x[1]^6*x[2]^11*x[3]+(150368400*z^3)*x[0]^2*x[1]^3*x[2]^12*x[3]+(-4326840*z^2)*x[0]^4*x[2]^13*x[3]+(-145350*z^5+145350*z^2)*x[0]*x[2]^16*x[3]+(187459272*z^3)*x[0]^10*x[1]^6*x[3]^2+(594864*z^3)*x[0]*x[1]^15*x[3]^2+(150368400*z^2)*x[0]^12*x[1]^3*x[2]*x[3]^2+(844560*z)*x[0]^14*x[2]^2*x[3]^2+(-992431440*z)*x[0]^5*x[1]^9*x[2]^2*x[3]^2-5292967680*x[0]^7*x[1]^6*x[2]^3*x[3]^2+(2205403200*z^5-2205403200*z^2)*x[0]^9*x[1]^3*x[2]^4*x[3]^2+(-67665780*z^5+67665780*z^2)*x[1]^12*x[2]^4*x[3]^2+(77523264*z^4-77523264*z)*x[0]^11*x[2]^5*x[3]^2+(992431440*z^4-992431440*z)*x[0]^2*x[1]^9*x[2]^5*x[3]^2+(-4631346720*z^3+4631346720)*x[0]^4*x[1]^6*x[2]^6*x[3]^2+(-1323241920*z^5)*x[0]^6*x[1]^3*x[2]^7*x[3]^2+(139806810*z^4)*x[0]^8*x[2]^8*x[3]^2+(2095133040*z^3)*x[0]*x[1]^6*x[2]^9*x[3]^2+(-661620960*z^2)*x[0]^3*x[1]^3*x[2]^10*x[3]^2+(59479056*z)*x[0]^5*x[2]^11*x[3]^2+(-60918480*z^5+60918480*z^2)*x[1]^3*x[2]^13*x[3]^2+(844560*z^4-844560*z)*x[0]^2*x[2]^14*x[3]^2-44880*x[0]^15*x[3]^3+110270160*x[0]^6*x[1]^9*x[3]^3+(661620960*z^5-661620960*z^2)*x[0]^8*x[1]^6*x[2]*x[3]^3+(661620960*z^4-661620960*z)*x[0]^10*x[1]^3*x[2]^2*x[3]^3+(70543200*z^3-70543200)*x[0]^12*x[2]^3*x[3]^3+(-2205403200*z^3+2205403200)*x[0]^3*x[1]^9*x[2]^3*x[3]^3+(-4631346720*z^5)*x[0]^5*x[1]^6*x[2]^4*x[3]^3+(-2646483840*z^4)*x[0]^7*x[1]^3*x[2]^5*x[3]^3+(628948320*z^3)*x[0]^9*x[2]^6*x[3]^3+(882161280*z^3)*x[1]^9*x[2]^6*x[3]^3+(-5292967680*z^2)*x[0]^2*x[1]^6*x[2]^7*x[3]^3+(1654052400*z)*x[0]^4*x[1]^3*x[2]^8*x[3]^3+665705040*x[0]^6*x[2]^9*x[3]^3+(721768320*z^4-721768320*z)*x[0]*x[1]^3*x[2]^11*x[3]^3+(-70543200*z^3+70543200)*x[0]^3*x[2]^12*x[3]^3+(425136*z^3)*x[2]^15*x[3]^3+(10024560*z^3-10024560)*x[0]^11*x[1]^3*x[3]^4+(-67665780*z^3+67665780)*x[0]^2*x[1]^12*x[3]^4+(4326840*z^5)*x[0]^13*x[2]*x[3]^4+(-1654052400*z^5)*x[0]^4*x[1]^9*x[2]*x[3]^4+(-4631346720*z^4)*x[0]^6*x[1]^6*x[2]^2*x[3]^4+(-1654052400*z^3)*x[0]^8*x[1]^3*x[2]^3*x[3]^4+(226666440*z^2)*x[0]^10*x[2]^4*x[3]^4+(-1654052400*z^2)*x[0]*x[1]^9*x[2]^4*x[3]^4+(4631346720*z)*x[0]^3*x[1]^6*x[2]^5*x[3]^4+(-871659360*z^5+871659360*z^2)*x[0]^7*x[2]^7*x[3]^4+(1902160260*z^4-1902160260*z)*x[1]^6*x[2]^8*x[3]^4+(-2205403200*z^3+2205403200)*x[0]^2*x[1]^3*x[2]^9*x[3]^4+(-226666440*z^5)*x[0]^4*x[2]^10*x[3]^4+(-10110240*z^2)*x[0]*x[2]^13*x[3]^4+(-926269344*z^3)*x[0]^7*x[1]^6*x[3]^5+(-441080640*z^2)*x[0]^9*x[1]^3*x[2]*x[3]^5+(-27066312*z^2)*x[1]^12*x[2]*x[3]^5+(-59479056*z)*x[0]^11*x[2]^2*x[3]^5+(-992431440*z)*x[0]^2*x[1]^9*x[2]^2*x[3]^5-4631346720*x[0]^4*x[1]^6*x[2]^3*x[3]^5+(882161280*z^4-882161280*z)*x[0]^8*x[2]^5*x[3]^5+(-4631346720*z^3+4631346720)*x[0]*x[1]^6*x[2]^6*x[3]^5+(2646483840*z^5)*x[0]^3*x[1]^3*x[2]^7*x[3]^5+(882161280*z^4)*x[0]^5*x[2]^8*x[3]^5+(-485188704*z^2)*x[1]^3*x[2]^10*x[3]^5+(77523264*z)*x[0]^2*x[2]^11*x[3]^5-3360084*x[0]^12*x[3]^6-882161280*x[0]^3*x[1]^9*x[3]^6+(4631346720*z^5-4631346720*z^2)*x[0]^5*x[1]^6*x[2]*x[3]^6+(1323241920*z^4-1323241920*z)*x[0]^7*x[1]^3*x[2]^2*x[3]^6+(665705040*z^3-665705040)*x[0]^9*x[2]^3*x[3]^6+(-110270160*z^3+110270160)*x[1]^9*x[2]^3*x[3]^6+(4631346720*z^5)*x[0]^2*x[1]^6*x[2]^4*x[3]^6+(2795961168*z^3)*x[0]^6*x[2]^6*x[3]^6+(1654052400*z)*x[0]*x[1]^3*x[2]^8*x[3]^6+628948320*x[0]^3*x[2]^9*x[3]^6+(-6534528*z^3+6534528)*x[2]^12*x[3]^6+(283551840*z^3-283551840)*x[0]^8*x[1]^3*x[3]^7+(32205888*z^5)*x[0]^10*x[2]*x[3]^7+(661620960*z^5)*x[0]*x[1]^9*x[2]*x[3]^7+(5292967680*z^4)*x[0]^3*x[1]^6*x[2]^2*x[3]^7+(2646483840*z^3)*x[0]^5*x[1]^3*x[2]^3*x[3]^7+(871659360*z^2)*x[0]^7*x[2]^4*x[3]^7+(926269344*z)*x[1]^6*x[2]^5*x[3]^7-1323241920*x[0]^2*x[1]^3*x[2]^6*x[3]^7+(-871659360*z^5+871659360*z^2)*x[0]^4*x[2]^7*x[3]^7+(-13302432*z^5)*x[0]*x[2]^10*x[3]^7+(1902160260*z^3)*x[0]^4*x[1]^6*x[3]^8+(1654052400*z^2)*x[0]^6*x[1]^3*x[2]*x[3]^8+(-139806810*z)*x[0]^8*x[2]^2*x[3]^8+661620960*x[0]*x[1]^6*x[2]^3*x[3]^8+(-1654052400*z^5+1654052400*z^2)*x[0]^3*x[1]^3*x[2]^4*x[3]^8+(882161280*z^4-882161280*z)*x[0]^5*x[2]^5*x[3]^8+(283551840*z^5)*x[1]^3*x[2]^7*x[3]^8+(139806810*z^4)*x[0]^2*x[2]^8*x[3]^8-5299580*x[0]^9*x[3]^9+36756720*x[1]^9*x[3]^9+(-2095133040*z^5+2095133040*z^2)*x[0]^2*x[1]^6*x[2]*x[3]^9+(-2205403200*z^4+2205403200*z)*x[0]^4*x[1]^3*x[2]^2*x[3]^9+(628948320*z^3-628948320)*x[0]^6*x[2]^3*x[3]^9+(-441080640*z^4)*x[0]*x[1]^3*x[2]^5*x[3]^9+(665705040*z^3)*x[0]^3*x[2]^6*x[3]^9+5299580*x[2]^9*x[3]^9+(-485188704*z^3+485188704)*x[0]^5*x[1]^3*x[3]^10+(13302432*z^5)*x[0]^7*x[2]*x[3]^10+(-187459272*z^4)*x[1]^6*x[2]^2*x[3]^10+(-661620960*z^3)*x[0]^2*x[1]^3*x[2]^3*x[3]^10+(226666440*z^2)*x[0]^4*x[2]^4*x[3]^10+(-32205888*z^5+32205888*z^2)*x[0]*x[2]^7*x[3]^10+(-164402784*z^3)*x[0]*x[1]^6*x[3]^11+(-721768320*z^2)*x[0]^3*x[1]^3*x[2]*x[3]^11+(-77523264*z)*x[0]^5*x[2]^2*x[3]^11+(10024560*z^5-10024560*z^2)*x[1]^3*x[2]^4*x[3]^11+(59479056*z^4-59479056*z)*x[0]^2*x[2]^5*x[3]^11-6534528*x[0]^6*x[3]^12+(150368400*z^4-150368400*z)*x[0]*x[1]^3*x[2]^2*x[3]^12+(70543200*z^3-70543200)*x[0]^3*x[2]^3*x[3]^12+(3360084*z^3)*x[2]^6*x[3]^12+(60918480*z^3-60918480)*x[0]^2*x[1]^3*x[3]^13+(10110240*z^5)*x[0]^4*x[2]*x[3]^13+(4326840*z^2)*x[0]*x[2]^4*x[3]^13+(7050240*z^2)*x[1]^3*x[2]*x[3]^14+(844560*z)*x[0]^2*x[2]^2*x[3]^14+425136*x[0]^3*x[3]^15+(44880*z^3-44880)*x[2]^3*x[3]^15+(-145350*z^5)*x[0]*x[2]*x[3]^16+528821*x[3]^18

=== Secondary invariants ===

1,

x[0]^9*x[1]^3+27/1595*x[1]^12+(-177/319*z^5+177/319*z^2)*x[0]^11*x[2]+(-81/29*z^5+81/29*z^2)*x[0]^2*x[1]^9*x[2]+(-756/29*z^4+756/29*z)*x[0]^4*x[1]^6*x[2]^2+(-168/29*z^3+168/29)*x[0]^6*x[1]^3*x[2]^3+(18/29*z^5)*x[0]^8*x[2]^4+(756/145*z^4)*x[0]*x[1]^6*x[2]^5+(588/29*z^3)*x[0]^3*x[1]^3*x[2]^6+(-36/29*z^2)*x[0]^5*x[2]^7-x[1]^3*x[2]^9+(-3/145*z^5+3/145*z^2)*x[0]^2*x[2]^10+(-756/145*z^3+756/145)*x[0]^5*x[1]^6*x[3]+(576/29*z^5)*x[0]^7*x[1]^3*x[2]*x[3]+(21/29*z^4)*x[0]^9*x[2]^2*x[3]+(81/29*z^4)*x[1]^9*x[2]^2*x[3]+(756/29*z^3)*x[0]^2*x[1]^6*x[2]^3*x[3]+(-630/29*z^2)*x[0]^4*x[1]^3*x[2]^4*x[3]+(-1386/145*z)*x[0]^6*x[2]^5*x[3]+(-576/29*z^5+576/29*z^2)*x[0]*x[1]^3*x[2]^7*x[3]+(126/29*z^4-126/29*z)*x[0]^3*x[2]^8*x[3]+(-177/319*z^4)*x[2]^11*x[3]+(3/145*z^3)*x[0]^10*x[3]^2+(-81/29*z^3)*x[0]*x[1]^9*x[3]^2+(-756/29*z^2)*x[0]^3*x[1]^6*x[2]*x[3]^2+(-1512/29*z)*x[0]^5*x[1]^3*x[2]^2*x[3]^2-468/29*x[0]^7*x[2]^3*x[3]^2+(756/29*z^5-756/29*z^2)*x[1]^6*x[2]^4*x[3]^2+(1512/29*z^4-1512/29*z)*x[0]^2*x[1]^3*x[2]^5*x[3]^2+(-126/29*z^3+126/29)*x[0]^4*x[2]^6*x[3]^2+(21/29*z^3)*x[0]*x[2]^9*x[3]^2-588/29*x[0]^6*x[1]^3*x[3]^3+(126/29*z^5-126/29*z^2)*x[0]^8*x[2]*x[3]^3+(-756/29*z^4+756/29*z)*x[0]*x[1]^6*x[2]^2*x[3]^3+(-3360/29*z^3+3360/29)*x[0]^3*x[1]^3*x[2]^3*x[3]^3+(-126/29*z^5)*x[0]^5*x[2]^4*x[3]^3+(-168/29*z^3)*x[1]^3*x[2]^6*x[3]^3+(-468/29*z^2)*x[0]^2*x[2]^7*x[3]^3+(756/29*z^3-756/29)*x[0]^2*x[1]^6*x[3]^4+(-630/29*z^5)*x[0]^4*x[1]^3*x[2]*x[3]^4+(-126/29*z^4)*x[0]^6*x[2]^2*x[3]^4+(-630/29*z^2)*x[0]*x[1]^3*x[2]^4*x[3]^4+(126/29*z)*x[0]^3*x[2]^5*x[3]^4+(18/29*z^4-18/29*z)*x[2]^8*x[3]^4+(-36/29*z^3)*x[0]^7*x[3]^5+(756/145*z^2)*x[1]^6*x[2]*x[3]^5+(-1512/29*z)*x[0]^2*x[1]^3*x[2]^2*x[3]^5-126/29*x[0]^4*x[2]^3*x[3]^5+(-1386/145*z^3+1386/145)*x[0]*x[2]^6*x[3]^5+168/29*x[0]^3*x[1]^3*x[3]^6+(1386/145*z^5-1386/145*z^2)*x[0]^5*x[2]*x[3]^6+(588/29*z^3-588/29)*x[1]^3*x[2]^3*x[3]^6+(126/29*z^5)*x[0]^2*x[2]^4*x[3]^6+(576/29*z^5)*x[0]*x[1]^3*x[2]*x[3]^7+(468/29*z^4)*x[0]^3*x[2]^2*x[3]^7+(36/29*z)*x[2]^5*x[3]^7+(18/29*z^3)*x[0]^4*x[3]^8+126/29*x[0]*x[2]^3*x[3]^8+x[1]^3*x[3]^9+(-21/29*z^5+21/29*z^2)*x[0]^2*x[2]*x[3]^9+(-3/145*z^4)*x[2]^2*x[3]^10+(-177/319*z^3)*x[0]*x[3]^11,

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=== Independent secondary invariants ===

x[0]^9*x[1]^3+27/1595*x[1]^12+(-177/319*z^5+177/319*z^2)*x[0]^11*x[2]+(-81/29*z^5+81/29*z^2)*x[0]^2*x[1]^9*x[2]+(-756/29*z^4+756/29*z)*x[0]^4*x[1]^6*x[2]^2+(-168/29*z^3+168/29)*x[0]^6*x[1]^3*x[2]^3+(18/29*z^5)*x[0]^8*x[2]^4+(756/145*z^4)*x[0]*x[1]^6*x[2]^5+(588/29*z^3)*x[0]^3*x[1]^3*x[2]^6+(-36/29*z^2)*x[0]^5*x[2]^7-x[1]^3*x[2]^9+(-3/145*z^5+3/145*z^2)*x[0]^2*x[2]^10+(-756/145*z^3+756/145)*x[0]^5*x[1]^6*x[3]+(576/29*z^5)*x[0]^7*x[1]^3*x[2]*x[3]+(21/29*z^4)*x[0]^9*x[2]^2*x[3]+(81/29*z^4)*x[1]^9*x[2]^2*x[3]+(756/29*z^3)*x[0]^2*x[1]^6*x[2]^3*x[3]+(-630/29*z^2)*x[0]^4*x[1]^3*x[2]^4*x[3]+(-1386/145*z)*x[0]^6*x[2]^5*x[3]+(-576/29*z^5+576/29*z^2)*x[0]*x[1]^3*x[2]^7*x[3]+(126/29*z^4-126/29*z)*x[0]^3*x[2]^8*x[3]+(-177/319*z^4)*x[2]^11*x[3]+(3/145*z^3)*x[0]^10*x[3]^2+(-81/29*z^3)*x[0]*x[1]^9*x[3]^2+(-756/29*z^2)*x[0]^3*x[1]^6*x[2]*x[3]^2+(-1512/29*z)*x[0]^5*x[1]^3*x[2]^2*x[3]^2-468/29*x[0]^7*x[2]^3*x[3]^2+(756/29*z^5-756/29*z^2)*x[1]^6*x[2]^4*x[3]^2+(1512/29*z^4-1512/29*z)*x[0]^2*x[1]^3*x[2]^5*x[3]^2+(-126/29*z^3+126/29)*x[0]^4*x[2]^6*x[3]^2+(21/29*z^3)*x[0]*x[2]^9*x[3]^2-588/29*x[0]^6*x[1]^3*x[3]^3+(126/29*z^5-126/29*z^2)*x[0]^8*x[2]*x[3]^3+(-756/29*z^4+756/29*z)*x[0]*x[1]^6*x[2]^2*x[3]^3+(-3360/29*z^3+3360/29)*x[0]^3*x[1]^3*x[2]^3*x[3]^3+(-126/29*z^5)*x[0]^5*x[2]^4*x[3]^3+(-168/29*z^3)*x[1]^3*x[2]^6*x[3]^3+(-468/29*z^2)*x[0]^2*x[2]^7*x[3]^3+(756/29*z^3-756/29)*x[0]^2*x[1]^6*x[3]^4+(-630/29*z^5)*x[0]^4*x[1]^3*x[2]*x[3]^4+(-126/29*z^4)*x[0]^6*x[2]^2*x[3]^4+(-630/29*z^2)*x[0]*x[1]^3*x[2]^4*x[3]^4+(126/29*z)*x[0]^3*x[2]^5*x[3]^4+(18/29*z^4-18/29*z)*x[2]^8*x[3]^4+(-36/29*z^3)*x[0]^7*x[3]^5+(756/145*z^2)*x[1]^6*x[2]*x[3]^5+(-1512/29*z)*x[0]^2*x[1]^3*x[2]^2*x[3]^5-126/29*x[0]^4*x[2]^3*x[3]^5+(-1386/145*z^3+1386/145)*x[0]*x[2]^6*x[3]^5+168/29*x[0]^3*x[1]^3*x[3]^6+(1386/145*z^5-1386/145*z^2)*x[0]^5*x[2]*x[3]^6+(588/29*z^3-588/29)*x[1]^3*x[2]^3*x[3]^6+(126/29*z^5)*x[0]^2*x[2]^4*x[3]^6+(576/29*z^5)*x[0]*x[1]^3*x[2]*x[3]^7+(468/29*z^4)*x[0]^3*x[2]^2*x[3]^7+(36/29*z)*x[2]^5*x[3]^7+(18/29*z^3)*x[0]^4*x[3]^8+126/29*x[0]*x[2]^3*x[3]^8+x[1]^3*x[3]^9+(-21/29*z^5+21/29*z^2)*x[0]^2*x[2]*x[3]^9+(-3/145*z^4)*x[2]^2*x[3]^10+(-177/319*z^3)*x[0]*x[3]^11,

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