cleanF7 := (1-4*x-5*y+2*x^3*y^6+y^5-2*x^2-4*y^4-4*x^3-3*y^3+5*x^6-2*x^3*y^4-2*
x^5*y^2+5*x^5*y^4+3*x^6*y^2+4*x^6*y-x^6*y^3-2*x^7*y-5*x^7*y^2-4*x^7+x^8*y-4*x^
8+5*x^9+4*x^2*y^5+4*x^2*y^7+2*y^8+5*x^3*y^5-5*y^7-3*x^4*y^3-3*x*y^7-5*x*y^6-4*
y^9+5*x*y^8+4*x^4*y+4*x^4*y^2+4*x^5*y-2*x^2*y-x^2*y^2+5*x^2*y^3+5*x^2*y^4-x^3*
y+2*x^3*y^2-3*x^3*y^3-3*x*y^2-2*x*y^3-2*x*y^4+2*x*y^5-5*x*y+4*x^5+3*x^4+4*y^2)
*(-4-y+2*y^6-3*y^5-2*x^2-2*y^4-x^3-3*y^3-4*x^6-4*x^3*y^4+4*x^5*y^2+3*x^7+4*x^2
*y^5+4*y^7-3*x^4*y^3-2*x*y^6+2*x^4*y-2*x^4*y^2+x^5*y-2*x^2*y-5*x^2*y^2-5*x^2*y
^3-3*x^2*y^4-4*x^3*y^2+4*x^3*y^3+3*x*y^2-5*x*y^3+3*x*y^4-5*x*y^5-x*y-2*x^5+2*x
^4-5*y^2);
noiseF7 := `*`(1/6713754450000*49693^(1/2)*1342750890^(1/2),2259+4355*x^11*y^2
-7322*y^6*x^6+7103*x*y^12-9487*x^2-6107*y^4-6895*x^3+1645*x^6-8591*y^7*x^5-\
7657*x*y^9+8648*x^2*y^14+4048*x^5*y^4-278*x^5*y^3+9016*x^7+7582*x^8*y^2+7113*x
^9-4171*x^14*y^2-6280*x^2*y^6-3052*x^3*y^11+3854*x^11*y^5+4801*x^10*y^4+1109*x
^10*y+3485*y^9-9119*x*y^8+9066*y^14+3397*x^4*y^12-4773*x^8*y^5-9012*x^2*y+229*
x^10*y^6-1322*x^2*y^2-5911*x*y^4-8088*x*y+3882*x^5-1425*y^10*x^2+7891*x^16+
3847*x^6*y^9-3640*x^9*y^6+4016*x^7*y^9);