cleanF6_list := [-4.*x+45.*y+Complex(-39.)*x^3*y+Complex(9.)*x^8*y-9.*x^4*y-12\
.*x^3*y^2-69.*x^3*y-44.*x^2*y^3+Complex(-3.)*x*y^9-17.*x^5+33.*x^4+14.*y^2+56.
*x^3+46.*y^3-9.*x^2-7.*x^2*y^2-58.*x^2*y+28.*x*y^4+5.*x*y^3-29.*x*y^2-40.*x*y+
32.*y^4-23.*y^5+Complex(4.)*x^2*y+Complex(13.)*x^2*y^4-1.*y^6-46.*y^7-6.*y^9+
10.*y^10-13.*y^8+Complex(-43.)*x^4*y^2+Complex(61.)*x^3*y^6+Complex(-60.)*x^2*
y^5+Complex(20.)*x^2*y^6+Complex(6.)*x*y+53.*x*y^5+7.*x*y^6-23.*x*y^9+18.*x*y^
8+Complex(7.)*x^3*y^5-14.*x^2*y^4+55.*x^2*y^5-76.*x^2*y^6+40.*x^2*y^7+23.*x^2*
y^8+Complex(10.)*x^3*y^2+Complex(-2.)*x^4*y^6+Complex(94.)*x^6*y+54.*x^3*y^3-\
34.*x^3*y^4-4.*x^3*y^5-30.*x^3*y^6-26.*x^3*y^7+Complex(11.)*x^6*y^2+Complex(-3\
.)*x*y^2+124.*x^4*y^2+95.*x^4*y^3+45.*x^4*y^4-29.*x^4*y^5+3.*x^4*y^6+18.*x^5*y
+37.*x^5*y^2+29.*x^5*y^3+17.*x^5*y^5+Complex(-20.)*x^4*y^4+45.*x^6*y-37.*x^6*y
^2+75.*x^6*y^3-69.*x^6*y^4-18.*x^6+73.*x^7*y-50.*x^7*y^2+27.*x^7*y^3-40.*x^7+
26.*x^8*y-10.*x^8*y^2+3.*x^9*y-28.*x^8-19.*x^9-13.*x^10+Complex(-42.)*x*y^5+
Complex(42.)*x^7*y+Complex(-20.)*x*y^6+Complex(-12.)*x^2*y^7+Complex(30.)*x*y^
8+Complex(-46.)*x^2*y^3+Complex(-35.)*x^7*y^3+Complex(3.,15.)+Complex(66.)*x^6
*y^3+Complex(-17.)*x*y^4+Complex(-76.)*x*y^3+Complex(21.)*x*y^7+Complex(6.)*x^
3*y^4+Complex(10.)*x^6*y^4+Complex(47.)*x^2*y^2+Complex(2.)*x^3*y^3+Complex(-\
11.)*x^3*y^7+Complex(19.)*x^4*y^3+Complex(35.)*x^4*y+Complex(-59.)*x^5*y^2+
Complex(-44.)*x^5*y^4+Complex(58.)*x^5*y^3+Complex(53.)*x^5*y+Complex(13.)*x^8
*y^2+Complex(13.)*x^9*y+Complex(-5.)*y+Complex(-12.)*y^5+Complex(-15.)*y^6+
Complex(-10.)*y^10+Complex(18.)*y^7+Complex(10.)*y^9+Complex(29.)*y^8+Complex(
-24.)*y^2+Complex(-15.)*y^3+Complex(-96.)*y^4+Complex(-15.)*x+Complex(24.)*x^2
+Complex(16.)*x^3+Complex(-52.)*x^4+Complex(-52.)*x^5+Complex(-41.)*x^6+
Complex(2.)*x^7+Complex(35.)*x^8+Complex(13.)*x^9+Complex(-1.)*x^10, -18.*x+2.
*y+Complex(-59.)*x^4*y^3+Complex(20.)*x^3*y^7+Complex(-51.)*x^6*y^3+Complex(25\
.)*x*y^8+Complex(-8.)*x^2*y^4+Complex(7.)*x^2*y^8-21.*x^4*y+17.*x^3*y^2+33.*x^
3*y-15.*x^2*y^3-23.*x^5+7.*x^4+28.*y^2+15.*x^3-33.*y^3+23.*x^2+Complex(-20.)*x
^4*y+2.*x^2*y^2-3.*x^2*y-6.*x*y^4+6.*x*y^3-106.*x*y^2+10.*x*y+13.*y^4+5.*y^5+
Complex(26.)*x^9*y+Complex(-16.)*x*y^6+Complex(-24.)*x^8*y+41.*y^6+27.*y^7-12.
*y^9-14.*y^10+21.*y^8+Complex(63.)*x*y^2+Complex(19.)*x^4*y^2-45.*x*y^5+45.*x*
y^6-9.*x*y^9+7.*x*y^8+14.*x*y^7-145.*x^2*y^4+Complex(50.)*x*y^5-10.*x^2*y^5-18\
.*x^2*y^6+3.*x^2*y^7+26.*x^2*y^8+49.*x^3*y^3-40.*x^3*y^4-50.*x^3*y^5-24.*x^3*y
^6-4.*x^3*y^7+39.*x^4*y^2-3.*x^4*y^3-21.*x^4*y^4+23.*x^4*y^5+29.*x^4*y^6-23.*x
^5*y-3.*x^5*y^2+13.*x^5*y^3+40.*x^5*y^5-30.*x^5*y^4+6.*x^6*y-20.*x^6*y^2+53.*x
^6*y^3-13.*x^6*y^4-5.*x^6+Complex(48.)*x^6*y^4+8.*x^7*y+70.*x^7*y^2-3.*x^7*y^3
-10.*x^7-38.*x^8*y+19.*x^8*y^2+6.*x^9*y+6.*x^8+13.*x^9-11.*x^10+Complex(-18.)*
x^2*y^5+Complex(80.)*x^7*y^2+Complex(-45.)*x^2*y^3+Complex(-14.)*x^2*y^2+
Complex(28.)*x^4*y^4+Complex(-18.)*x*y^7+Complex(-24.)*x^2*y^7+Complex(-64.)*x
^3*y^3+Complex(-58.)*x^2*y+Complex(-19.)*x*y^4+Complex(-2.)*x^3*y^4+Complex(12\
.)*y^6+Complex(16.)*y^4+Complex(9.)*y^7+Complex(24.)*y+Complex(7.)*y^5+
Complex(8.)*x^3+Complex(-8.)*y^10+Complex(-10.)*y^9+Complex(-38.)*y^8+Complex(
84.)*y^3+Complex(-7.)*x+Complex(20.)*x^2+Complex(-48.)*x^4+Complex(-7.)*x^5+
Complex(16.)*x^6+Complex(11.)*x^7+Complex(-6.)*x^8+Complex(-8.)*x^9+Complex(-\
10.)*x^10+Complex(-17.)*x*y^3+Complex(6.)*x^6*y+Complex(20.)*x^4*y^6+Complex(
38.)*x^7*y+Complex(104.)*x^4*y^5+Complex(13.)*x*y+Complex(-20.)*x^8*y^2+
Complex(-8.)*x^2*y^6+Complex(38.)*x*y^9+Complex(-46.)*x^7*y^3+Complex(7.)*x^3*
y^6+Complex(16.)*x^3*y+Complex(17.)*x^3*y^2+Complex(-116.)*x^3*y^5+Complex(5.)
*x^5*y^2+Complex(9.)*x^5*y+Complex(-37.)*x^5*y^3+Complex(-43.)*x^5*y^4+
Complex(-28.)*x^5*y^5+Complex(3.,3.)];
noiseF6_list := [Complex(-.8947421050e-2)*x^9*y+.8037093179e-2*x+.3376254187e-\
2*y+.5143302836e-2*x^3*y+Complex(-.2226679842e-2)*x*y^6+Complex(.3879565234e-2
)*x*y^2+.8860061341e-2*x^5+.1189283304e-2*x^4+.1116814455e-2*y^2+.8250528829e-\
2*y^3-.9012940831e-2*x^2+.3386181426e-2*x*y+Complex(.1742230550e-2)*x*y^7-.\
9361386941e-3*y^6+.6954031338e-2*y^7-.7831599318e-2*y^10+Complex(-.3071487932e\
-2)*x^2*y^5-.8662509273e-2*x*y^9+.2089683935e-2*x*y^8+.6059587050e-2*x^2*y^6+.\
3707823989e-2*x^2*y^7+.5767726206e-2*x^3*y^6+.3645282380e-2*x^3*y^7-.\
4334232808e-2*x^4*y^2+.2711129134e-2*x^4*y^3+.3162818535e-2*x^4*y^4+.\
5440127300e-3*x^5*y+.4681686194e-2*x^5*y^2+.5335891284e-2*x^5*y^3-.3955012256e\
-2*x^5*y^5+.4880230986e-2*x^6*y-.5549326936e-3*x^6-.3672085926e-2*x^7*y^3-.\
5944431072e-2*x^8*y+.9581771660e-2*x^8*y^2+.1686638008e-2*x^8+Complex(-.\
1999346054e-2)*x^2*y^6+Complex(-.5755813519e-2)*x^6*y+Complex(-.9808112723e-2)
*x+Complex(.4845485648e-2)*y+Complex(.1065192809e-2)*x^2+Complex(-.7573491089e\
-2)*y^4+Complex(-.3389159598e-2)*y^5+Complex(-.4237938585e-2)*y^9+Complex(.\
7809759391e-2)*x^7+Complex(.1779954060e-2)*x^8+Complex(.2283265107e-2)*x^10+
Complex(.5236618887e-2)*x*y+Complex(.6876598868e-2)*x^2*y+Complex(.3821987244e\
-3)*x^3*y^5+Complex(-.4268713028e-2)*x^5*y^5+Complex(.7938813507e-2)*x^5*y^4+
Complex(-.1933826273e-2)*x^4*y+Complex(-.9509302810e-2)*x^4*y^6+Complex(.\
1813706674e-2)*x^2*y^7+Complex(.7071172765e-2)*x*y^3+Complex(-.2922579338e-2)*
x^3*y^4+Complex(-.8434182762e-2)*x^8*y^2+Complex(-.3881550683e-3)*x^3*y^6+
Complex(.8302150475e-2)*x*y^9+Complex(.5437149128e-2)*x^6*y^3+Complex(.\
1033425642e-2)*x^9, -.1688399800e-2*x+.4246351724e-2*y+Complex(-.1471594579e-2
)*x^2*y^4+Complex(.1219820773e-2)*x^3*y^2+Complex(.4364662099e-2)*x^3*y^4-.\
1750760442e-2*x^4*y-.3568544003e-2*x^3*y^2-.8683865040e-3*x^3*y-.3762619644e-2
*x^2*y^3+Complex(.5808864621e-2)*x^6*y^3+Complex(.1397577743e-2)*x^2*y^3+
Complex(-.3030610618e-3)*x^3*y^3+Complex(.2185536503e-2)*x^3*y^6+Complex(.\
2210014512e-2)*x^4*y^3+Complex(-.5011580904e-2)*x*y^3-.1660424933e-2*x^5+.\
4962624887e-2*x^4-.3000304512e-2*y^2+.4832658315e-2*x^3-.3357566878e-2*y^3-.\
3102879025e-2*x^2+Complex(.3824980285e-2)*x*y^4-.4935232829e-2*x^2*y^2-.\
5006335616e-2*x^2*y+.3235759644e-2*x*y^4-.4753396192e-2*x*y^3+.5240042320e-2*x
*y^2-.1155128894e-2*x*y-.4006234113e-2*y^4-.2643042144e-2*y^5+Complex(.\
4626926480e-2)*x*y^7+Complex(.1112000973e-2)*x^6*y+Complex(.3984670153e-2)*x^3
*y^7+.5297157674e-2*y^6-.1582328428e-2*y^7-.2453628981e-3*y^9+.2176211547e-2*y
^10-.1207581770e-2*y^8+Complex(-.2585926791e-2)*x^7*y+Complex(.5210901833e-2)*
x^6*y^4+Complex(-.1149883605e-2)*x^2*y^5+Complex(.1199422433e-2)*x^6*y^2+
Complex(-.3255575176e-2)*x^2*y^8+Complex(.3706669910e-2)*x*y^6+Complex(-.\
4266167254e-3)*x^8*y^2+Complex(-.5577489156e-3)*x^7*y^2+Complex(.1654596835e-2
)*x^9*y+Complex(.3158245950e-2)*x*y^2+.1277518938e-2*x*y^5-.1365523208e-2*x*y^
6-.7920384287e-3*x*y^9-.5886378315e-4*x*y^8-.3382044888e-2*x*y^7+Complex(-.\
3829059954e-2)*x^3*y^5+Complex(.2086458848e-2)*x^5*y^2+Complex(-.5663162187e-2
)*x^8*y-.5807116192e-2*x^2*y^4+Complex(-.2022349778e-2)*x^5*y^5-.1388835597e-2
*x^2*y^5-.1852169336e-2*x^2*y^6-.3752711878e-2*x^2*y^7+.2987482697e-2*x^2*y^8+
.1740852676e-2*x^3*y^3+.2934447012e-2*x^3*y^4+.2745033848e-3*x^3*y^5-.\
3943290661e-2*x^3*y^6+.6789733403e-3*x^3*y^7+Complex(.5667824665e-2)*x^2*y^6+.\
1524630265e-2*x^4*y^2+.2508413096e-2*x^4*y^3-.2018852919e-2*x^4*y^4+.\
2110354048e-2*x^4*y^5+.3259072034e-2*x^4*y^6+Complex(-.5434117961e-2)*x^5*y^4-
.3205453538e-2*x^5*y+.5406725904e-2*x^5*y^2+.4471899091e-2*x^5*y^3+.3453730485\
e-2*x^5*y^5+.2049159025e-2*x^5*y^4+Complex(-.5616537409e-2)*x^5*y-.3278304755e\
-2*x^6*y-.2150567919e-3*x^6*y^2+.4959710838e-3*x^6*y^3+.1166202278e-2*x^6*y^4+
.1480919534e-2*x^6+.2080630751e-3*x^7*y-.4028380883e-2*x^7*y^2+.2583595552e-2*
x^7*y^3-.4448586701e-2*x^7+.4340184090e-2*x^8*y-.4062183847e-3*x^8*y^2+.\
3549311281e-2*x^9*y+.4380980771e-2*x^8+.3878598781e-2*x^9+.9686297779e-3*x^10+
Complex(-.2404672964e-2)*x^4*y^2+Complex(.4699777697e-2)*x*y+Complex(-.\
5064033781e-2)*x*y^5+Complex(.4776125771e-2)*y^9+Complex(-.3728816679e-2)*x^2*
y^2+Complex(-.2715310551e-2)*x^4*y+Complex(.2235075331e-2)*x^5*y^3+Complex(-.\
5747669598e-2)*x*y^9+Complex(.9447345794e-3)*x^2*y+Complex(.3030610618e-2)*x^2
*y^7+Complex(-.5686474577e-2)*x^3*y+Complex(-.2522400529e-2)*x^4*y^5+Complex(.\
4298221790e-2)*x*y^8+Complex(.4344846568e-2)*x^4*y^4+Complex(-.4325613847e-2)*
x^4*y^6+Complex(.5737761833e-2)*x^7*y^3+Complex(-.5562336103e-2)*x^5+Complex(-
.3752711878e-2)*y^4+Complex(-.1272856459e-2)*y^7+Complex(-.8450741146e-4,-.\
5245870417e-2)+Complex(-.5565832962e-2)*x+Complex(-.5532029997e-2)*y+Complex(-
.4055190131e-2)*x^4+Complex(-.4634503006e-2)*y^2+Complex(-.7634807518e-4)*x^3+
Complex(.2587675220e-2)*y^3+Complex(.4738243139e-3)*x^2+Complex(.9517282958e-3
)*y^5+Complex(.3644892078e-2)*y^6+Complex(.4610607807e-2)*x^6+Complex(.\
3438577432e-3)*x^7+Complex(.5597887497e-2)*x^8+Complex(-.3588359534e-2)*x^9+
Complex(.4270829732e-2)*x^10+Complex(-.6912123447e-3)*y^10+Complex(-.\
2696660640e-2)*y^8];
gcd_F6 := 5;