cleanF9_list := [-8.*x-3.*y+20.*x^2*y-1.*x*y^2-16.*x*y+14.*x^3-11.*x^2+10.*y^2
+9.*y^3+38.*x^5*y+40.*x^4*y^2-2.*x^4*y-45.*x^3*y^3-15.*x^3*y^2+9.*x^3*y+17.*x^
2*y^4+60.*x^2*y^3+18.*x^2*y^2+19.*x*y^5+32.*x*y^4-12.*x*y^3-14.*x^6-18.*x^5-21\
.*x^4-7.*y^5-27.*y^4-2.*y^6+13.*x^4*y^5+20.*x^4*y^6-25.*x^8-2.*x^7+36.*x^7*y-\
20.*x^6*y^2+15.*x^6*y+4.*x^5*y^3+11.*x^5*y^2+69.*x^4*y^4+64.*x^4*y^3+x^3*y^5-\
23.*x^3*y^4+2.*x^2*y^6+32.*x^2*y^5+3.*y^7+38.*x*y^7+30.*x*y^6+22.*y^8+33.*x^7*
y^2-6.*x^7*y^3-1.+42.*x^3*y^6+32.*x^3*y^7-10.*x^5*y^4-6.*x^5*y^5+4.*y^9+16.*y^
10-2.*x^8*y^2+3.*x^8*y+10.*x^9*y+24.*x*y^8+4.*x*y^9-18.*x^9-8.*x^10-2.*x^6*y^3
+40.*x^6*y^4-45.*x^2*y^7+10.*x^2*y^8, -13.*x-19.*y-36.*x^2*y-13.*x*y^2+35.*x*y
-26.*x^3+16.*x^2+17.*y^2+5.*y^3+8.*x^5*y-10.*x^4*y^2+68.*x^4*y+51.*x^3*y^3+48.
*x^3*y^2+2.*x^3*y+x^2*y^4-2.*x^2*y^3-7.*x^2*y^2-18.*x*y^5+11.*x*y^4+48.*x*y^3-\
4.*x^6-2.*x^5-16.*x^4+24.*y^5+2.*y^4-9.*y^6-5.*x^4*y^5-23.*x^8-35.*x^7+10.*x^7
*y+35.*x^6*y^2+17.*x^6*y+26.*x^5*y^3+16.*x^5*y^2-21.*x^4*y^4+26.*x^4*y^3+59.*x
^3*y^5+47.*x^3*y^4-3.*x^2*y^6+16.*x^2*y^5+9.*y^7-13.*x*y^7+2.*x*y^6-4.*y^8-18.
*x^7*y^2-5.+8.*x^3*y^6+5.*x^5*y^4+9.*x^8*y-8.*x*y^8-4.*x^9+25.*x^6*y^3+10.*x^2
*y^7, 14.*x+13.*y-50.*x^2*y-11.*x*y^2+9.*x*y-27.*x^3+x^2-3.*y^2-5.*y^3-11.*x^5
*y-32.*x^4*y^2-26.*x^4*y+12.*x^3*y^3+3.*x^3*y^2+17.*x^3*y-14.*x^2*y^4-11.*x^2*
y^3+5.*x^2*y^2-37.*x*y^5-15.*x*y^4-39.*x*y^3+5.*x^6+18.*x^5+33.*x^4-14.*y^5-10\
.*y^4+y^6+12.*x^8-11.*x^7-23.*x^7*y+9.*x^6*y^2+17.*x^6*y-8.*x^5*y^3+37.*x^5*y^
2-10.*x^4*y^4-41.*x^4*y^3-3.*x^3*y^5+30.*x^3*y^4+2.*x^2*y^6+2.*x^2*y^5-9.*y^7-\
5.*x*y^7-3.*x*y^6+4.*y^8+3.];
noiseF9_list := [.1451145500e-1*y+.2354080478e-1*x^2*y-.3463400594e-1*x*y^2+.\
4927445165e-1*x*y+.1909062525e-1*x^2+.2495970260e-1*y^2-.3398905238e-1*y^3+.\
5740086646e-2*x^5*y-.8835863713e-2*x^3*y^2-.1999356022e-2*x^2*y^4+.2270236516e\
-1*x*y^4+.2915190071e-1*x*y^3-.1999356022e-1*x^5-.5262821014e-1*y^6-.\
5675591289e-2*x^4*y^5-.1115769651e-1*x^4*y^6-.5449857546e-1*x^7+.1335053860e-1
*x^4*y^4-.4766206776e-1*x^3*y^5+.2160594411e-1*x^3*y^4+.9029349779e-2*x^2*y^6+
.2934538678e-1*x^2*y^5-.2895841465e-1*x^7*y^2-.6423737416e-1*x^3*y^6+.\
1838117634e-1*x^3*y^7+.4192198112e-2*x^5*y^5+.6081912031e-1*y^9-.5559499648e-1
*x*y^9+.6365691593e-1*x^9-.4585619780e-1*x^10-.3611739911e-1*x^6*y^3+.\
4475977676e-1*x^2*y^8, -.3038019540e-1*x-.3954769686e-1*y+.1266184057e-1*x^2*y
-.2511813180e-1*x*y^2+.2487147256e-1*x*y-.1422401571e-1*x^3+.3099684348e-1*x^2
+.4275426688e-2*y^2+.1997939779e-1*y^3-.2367928627e-1*x^5*y-.3864327967e-1*x^4
*y^2-.2725584513e-1*x^4*y-.4028767456e-2*x^3*y^3+.2039049651e-1*x^3*y^2-.\
2466592321e-1*x^3*y+.1599174021e-1*x^2*y^4+.3786219212e-1*x^2*y^3+.1738947585e\
-1*x^2*y^2-.6659799263e-2*x*y^5-.1516954277e-1*x*y^4-.1253851096e-1*x*y^3-.\
1475844404e-1*x^6-.6577579520e-2*x^5-.3453229247e-1*x^4-.3613557748e-1*y^5+.\
3436785298e-1*y^4+.6742019007e-2*y^6+.2647475758e-1*x^4*y^5+.2774916360e-1*x^8
+.4110987199e-3*x^7+.2195267165e-1*x^7*y+.2273375921e-1*x^6*y^2+.1553953161e-1
*x^6*y-.1829389304e-1*x^5*y^3-.2170601241e-1*x^5*y^2-.1685504752e-1*x^4*y^4+.\
1516954277e-1*x^4*y^3-.1463511443e-1*x^3*y^5-.3465562209e-1*x^3*y^4+.\
7975315167e-2*x^2*y^6-.2573477987e-1*x^2*y^5-.3954769686e-1*y^7-.1763613509e-1
*x*y^7+.3354565555e-1*x*y^6-.2178823216e-2*y^8+.2059604587e-1*x^7*y^2+.\
3469673197e-1*x^3*y^6-.5549832720e-2*x^5*y^4-.3876660928e-1*y^9+.2137713344e-2
*x^8*y-.1693726726e-1-.2733806488e-1*x*y^8+.1689615739e-1*x^9-.2125380382e-1*x
^6*y^3-.3247679888e-1*x^2*y^7, -.2783827986e-1*x+.2220699354e-1*y+.9194586151e\
-2*x^2*y+.2351141579e-1*x*y^2+.2602481478e-1*x*y+.2968356013e-1*x^3+.\
9989965576e-2*x^2-.1985267044e-1*y^2-.2758375845e-1*y^3+.2421134969e-1*x^5*y-.\
1457135106e-1*x^4*y^2-.1606666438e-1*x^4*y-.1317148327e-1*x^3*y^3+.1813465088e\
-1*x^3*y^2+.2096620164e-1*x^3*y-.1947088832e-1*x^2*y^4-.2723379150e-1*x^2*y^3-
.2977900566e-1*x^2*y^2+.4040527477e-2*x*y^5-.1231247349e-1*x*y^4-.1304422256e-\
1*x*y^3+.1539854566e-1*x^6-.2783827986e-1*x^5+.1425319929e-1*x^4+.1269425562e-\
1*y^5+.7572012122e-2*y^4+.2847458341e-1*y^6-.1345781986e-1*x^8+.1530310013e-1*
x^7+.1084897535e-1*x^7*y-.6713002346e-2*x^6*y^2+.7285675528e-2*x^6*y-.\
1622574026e-2*x^5*y^3+.2669293349e-1*x^5*y^2+.1718019558e-1*x^4*y^4-.\
2631115137e-1*x^4*y^3-.1768923841e-1*x^3*y^5-.1428501447e-1*x^3*y^4-.\
1508039389e-1*x^2*y^6-.3022441814e-2*x^2*y^5+.2631115137e-1*y^7-.7444751414e-2
*x*y^7+.2599299960e-1*x*y^6-.2691563973e-1*y^8-.1336237434e-1];
gcd_F9 := 5;