noise_F1 := 203/5000000000*x0^2+19/400000000*x0^3*x2-221/2500000000*x0^2*x2*x3
-157/10000000000*x0^2*x3^2+27/312500000*x1^2*x2^2-69/5000000000*x2*x3^3;
noise_F2 := 207/250000000*x0*x2-6499/10000000000*x0*x3+117/500000000*x0^2*x2*
x3+577/2000000000*x0*x1^3-1921/5000000000*x0*x1^2*x2-3277/10000000000*x1^2*x2^
2;
noise_F3 := -55943/10000000000*x0+1111/200000000*x2-15197/2000000000*x2^2+
16149/2000000000*x0^2*x3-11397/10000000000*x0^2*x1*x2+18477/5000000000*x0^2*x2
*x3;
noise_F4 := 587143/10000000000*x0*x3-120851/2000000000*x1^2+147547/5000000000*
x0^4+446703/10000000000*x1*x2^2*x3+418753/10000000000*x2^2*x3^2+388101/
5000000000*x3^4;
noise_F5 := 4248371/10000000000*x2-8583337/10000000000*x1*x2+2611999/
10000000000*x0*x1*x3-144087/250000000*x1*x2*x3+129387/400000000*x0^2*x1^2+
4448249/10000000000*x1^3*x3;
noise_F6 := 1989341/250000000*x0*x2+14497709/2500000000*x0*x1*x3-17144383/
5000000000*x0*x2^2+29055201/10000000000*x0*x2*x3+8723441/2500000000*x2^3+
9542591/2500000000*x1*x2^2*x3;
noise_F7 := -110012019/1250000000-376304131/5000000000*x1*x2*x3+56146291/
2000000000*x2^2*x3+57850871/1250000000*x0*x1*x2^2+659873971/10000000000*x1^2*
x2*x3+683531709/10000000000*x2*x3^3;
noise_G1 := -299/10000000000*x0^2*x2+91/1250000000*x0*x3^2-53/1250000000*x2*x3
^2+521/10000000000*x0^2*x2^2+173/10000000000*x0*x2^3-261/5000000000*x1^4;
noise_G2 := -6607/10000000000*x1*x3+393/1000000000*x0^2*x3-607/10000000000*x0*
x1*x3^2+8881/10000000000*x0*x2^2*x3-351/10000000000*x1*x2^2*x3+3769/5000000000
*x2^3*x3;
noise_G3 := 641/78125000*x0^2*x2+16497/2000000000*x0*x3^2+78243/10000000000*x0
^2*x1^2-601/156250000*x0^2*x2^2+26641/10000000000*x0*x2^3+1741/1250000000*x0*
x3^3;
noise_G4 := -194611/10000000000*x1+377251/5000000000*x3+66149/5000000000*x1^2*
x3+357301/5000000000*x0*x1^2*x2+44557/500000000*x0*x2^2*x3+474319/10000000000*
x1^2*x3^2;
noise_G5 := 7896223/10000000000*x0-1923217/5000000000*x0^4+8303873/10000000000
*x1^2*x3^2-3124239/5000000000*x1*x3^3+8564569/10000000000*x2^3*x3-7315421/
10000000000*x2*x3^3;
noise_G6 := 37328857/5000000000*x1+3448461/1250000000*x0^3-19074741/2500000000
*x1*x2^2-3280403/1000000000*x0^3*x1+17263399/10000000000*x0*x2^3+37339747/
5000000000*x1^2*x2*x3;
noise_G7 := -98090529/2000000000*x0*x2-13745741/500000000*x0*x3+314072539/
10000000000*x0^3*x1-63118003/2000000000*x0*x1^3+2484743/62500000*x0*x1*x2*x3+
686097963/10000000000*x0*x2^2*x3;