cleanF6 := (-1+4*x-5*y+y^6-3*y^5-5*x^2-5*y^4+5*x^3-3*y^3+5*x^6-5*x^4*y-3*x^4*y
^2+4*x^5*y+3*x^2*y-2*x^2*y^2-5*x^2*y^3-4*x^2*y^4-3*x^3*y+4*x^3*y^2-x^3*y^3+2*x
*y^2+5*x*y^3-x*y^4-4*x*y^5+3*x*y-3*x^5-x^4+4*y^2)*(1+4*x-4*y-5*y^6-y^5+5*x^2+y
^4-5*x^3-5*x^6+4*x^4*y+5*x^4*y^2-4*x^5*y-x^2*y+4*x^2*y^2-3*x^2*y^3-2*x^2*y^4+3
*x^3*y-4*x^3*y^2+3*x^3*y^3+5*x*y^2-2*x*y^3+2*x*y^4-x*y^5+4*x*y+3*x^5-x^4+3*y^2
)*(-3-3*x+5*y+x^3*y^6-2*y^6+3*y^5-3*x^2+3*y^4+x^3+y^3-5*x*y^9-5*x^3*y^4-5*x^9*
y+2*x^4*y^5-4*x^4*y^4+4*x^5*y^2+2*x^5*y^4+x^5*y^3+x^5*y^5-3*x^6*y^2+2*x^6*y+5*
x^6*y^4-x^6*y^3+x^7*y-4*x^7*y^3+2*x^7*y^2-2*x^7-3*x^8*y^2-3*x^8-5*x^9-2*x^10+x
^2*y^6+5*x^2*y^5+2*x^2*y^8-y^8-2*x^3*y^7+2*x^3*y^5+4*y^7-2*x^4*y^3+2*y^10+5*x*
y^7+4*x*y^6+2*y^9+5*x^4*y^2-4*x^5*y+x^2*y-4*x^2*y^2-4*x^2*y^3+x^2*y^4-2*x^3*y+
3*x^3*y^2-3*x^3*y^3-2*x*y^2-2*x*y^3-5*x*y^4+4*x*y^5-x*y+5*x^5+4*x^4-4*y^2);
noiseF6 := `*`(1/11939134999150000*12039439^(1/2)*238782699983^(1/2),-76468*x^
8*y^7+40711*x*y^21+40956*y^6-64831*x*y^18+41009*y^8*x^4+96166*x^15+76976*y^6*x
^5+54482*x^10*y^2-41783*x^17*y^5-27142*x^2*y^15+44617*x^4*y^5-47419*x^5*y^2+
82229*x^5*y^4-95392*x^6*y^3-52792*x^7*y^2+95890*x^14*y^5+59568*x^3*y^14-30152*
x^8-2582*x^2*y^5-41257*x^2*y^7-86009*x^3*y^10+7950*x^3*y^17-14913*x^3*y^18-\
30329*x^3*y^7+32452*x^3*y^5-27372*x^10*y^8-89420*x^16*y^4+19207*x^10*y^3+64522
*y^18-49840*x^10*y^12+47165*x^10*y^7+179*x^16*y^6-99564*x^15*y^7+81916*x^6*y^
16+25728*x^7*y^12-62616*x^12*y^2+38130*x^5*y^9+70630*x^5*y^17+34347*x^5*y^15-\
97045*x^6*y^11+75091*x^2*y-30757*x^14*y^4+31039*x^15*y^4+30158*x^16*y^3+99714*
x^17*y^4-82125*x^3*y+42603*x^13*y^8-66287*x^13*y^9-17044*x^3*y^3+95586*x^14*y^
6-22955*x*y^5+18910*x^8*y^6+93034*y^8*x^3-57951*y^10*x^2+33474*x^6*y^13+50777*
x^6*y^10+27518*x^19*y-66965*x^20*y^2+21472*y^11*x-2239*x^22-99438*x^19-1528*x^
6*y^12+66408*x^9*y^5+79671*x^9*y^8-71054*x^7*y^7-73512*x^12*y^10+66213*x^13*y^
5+18643*x^11-6123*x^14*y^3);