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5.*y^2+30.*x^28+38.*y^3+3.*x^27-8.*y^4+25.*x^26+26.*y^5+6.*x^25-9.*y^6+18.*x^
24-28.*y^7-79.*x^27*y^3-37.*x^27*y^2-19.*x^27*y-38.*x^26*y^4-9.*x^26*y^3+53.*x
^26*y^2-66.*x^26*y+32.*x^25*y^5+46.*x^25*y^4-27.*x^25*y^3-64.*x^25*y^2-13.*x^
25*y-101.*x^24*y^6-155.*x^24*y^5-8.*x^24*y^4-73.*x^24*y^3-11.*x^24*y^2+16.*x^
24*y+22.*x^23*y^7+47.*x^23*y^6+15.*x^23*y^5-62.*x^23*y^4+19.*x^23*y^3-90.*x^23
*y^2+80.*x^23*y-124.*x^22*y^8+51.*x^22*y^7-76.*x^22*y^6-65.*x^22*y^5-65.*x^22*
y^4-24.*x^22*y^3-13.*x^22*y^2+4.*x^22*y-48.*x^21*y^9+122.*x^21*y^8-108.*x^21*y
^7-3.*x^21*y^6-93.*x^21*y^5+16.*x^21*y^4-34.*x^21*y^3+8.*x^21*y^2+x^21*y+39.*x
^20*y^10+6.*x^20*y^9+17.*x^20*y^8-47.*x^20*y^7+58.*x^20*y^6-90.*x^20*y^5+144.*
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19*y^9+118.*x^19*y^8-29.*x^19*y^7+59.*x^19*y^6-49.*x^19*y^5-36.*x^19*y^4-72.*x
^19*y^3+26.*x^19*y^2-18.*x^19*y+32.*x^18*y^12-20.*x^18*y^11-47.*x^18*y^10+50.*
x^18*y^9-36.*x^18*y^8+55.*x^18*y^7-5.*x^18*y^6-8.*x^23+32.*y^8-33.*x^22-31.*y^
9-6.*x^21-37.*y^10-16.*x^20+17.*y^11+39.*x^19-29.*y^12-25.*x^18+3.*x^18*y^5+56\
.*x^18*y^4-15.*x^18*y^3-10.*x^18*y^2-5.*x^18*y+81.*x^17*y^13-125.*x^17*y^12-51\
.*x^17*y^11-40.*x^17*y^10-183.*x^17*y^9-29.*x^17*y^8-51.*x^17*y^7+x^17*y^6+63.
*x^17*y^5-199.*x^17*y^4+7.*x^17*y^3-64.*x^17*y^2+11.*x^17*y+197.*x^16*y^14-29.
*x^16*y^13+175.*x^16*y^12-55.*x^16*y^11-104.*x^16*y^10+35.*x^16*y^9-61.*x^16*y
^8+5.*x^16*y^7-17.*x^16*y^6+49.*x^16*y^4+45.*x^16*y^3+13.*x^16*y^2-3.*x^16*y+
129.*x^15*y^15-68.*x^15*y^14-22.*x^15*y^13-102.*x^15*y^12-200.*x^15*y^11+104.*
x^15*y^10-91.*x^15*y^9+74.*x^15*y^8-134.*x^15*y^7-94.*x^15*y^6-128.*x^15*y^5-\
85.*x^15*y^4+53.*x^15*y^3-82.*x^15*y^2+59.*x^15*y+121.*x^14*y^16+15.*x^14*y^15
+110.*x^14*y^14+4.*x^14*y^13+96.*x^14*y^12+52.*x^14*y^11+11.*x^14*y^10+24.*x^
14*y^9+57.*x^14*y^8+144.*x^14*y^7+34.*x^14*y^6-113.*x^14*y^5+63.*x^14*y^4+38.*
x^14*y^3+122.*x^14*y^2-26.*x^14*y-14.*x^13*y^17+75.*x^13*y^16+x^13*y^15-10.*x^
13*y^14-82.*x^13*y^13+27.*x^13*y^12-29.*x^13*y^11+124.*x^13*y^10+2.*x^13*y^9+
39.*x^13*y^8-43.*x^13*y^7-24.*x^13*y^6+42.*x^13*y^5-53.*y^13-16.*x^17-19.*y^14
-40.*x^16-50.*y^15+19.*x^15-18.*y^16-41.*x^14+6.*y^17+34.*x^13-35.*y^18-62.*x^
13*y^4-71.*x^13*y^3-15.*x^13*y^2-29.*x^13*y-43.*x^12*y^18+x^12*y^17+83.*x^12*y
^16+85.*x^12*y^15+119.*x^12*y^14-28.*x^12*y^13+18.*x^12*y^12-38.*x^12*y^11-68.
*x^12*y^10+11.*x^12*y^9-30.*x^12*y^8-96.*x^12*y^7+133.*x^12*y^6+80.*x^12*y^5-\
14.*x^12*y^4+22.*x^12*y^3-25.*x^12*y^2+30.*x^12*y+5.*x^11*y^19+54.*x^11*y^18-\
67.*x^11*y^17+12.*x^11*y^16-198.*x^11*y^15+29.*x^11*y^14-140.*x^11*y^13+11.*x^
11*y^12-46.*x^11*y^11-64.*x^11*y^10+36.*x^11*y^9-95.*x^11*y^8+28.*x^11*y^7-121\
.*x^11*y^6-75.*x^11*y^5+106.*x^11*y^4-28.*x^11*y^3-53.*x^11*y^2-62.*x^11*y-93.
*x^10*y^20+94.*x^10*y^19+24.*x^10*y^18+109.*x^10*y^17-33.*x^10*y^16+13.*x^10*y
^15+98.*x^10*y^14+3.*x^10*y^13+66.*x^10*y^12-156.*x^10*y^11+104.*x^10*y^10-1.*
x^10*y^9-43.*x^10*y^8+23.*x^10*y^7-6.*x^10*y^6+47.*x^10*y^5-22.*x^10*y^4+111.*
x^10*y^3-37.*x^10*y^2+29.*x^10*y+116.*x^9*y^21-9.*x^9*y^20+57.*x^9*y^19+52.*x^
9*y^18-141.*x^9*y^17+14.*x^9*y^16+3.*x^9*y^15-107.*x^9*y^14+129.*x^9*y^13-74.*
x^9*y^12+160.*x^9*y^11+35.*x^9*y^10+101.*x^9*y^9+63.*x^9*y^8+109.*x^9*y^7+12.*
x^9*y^6-25.*x^12-21.*y^19+4.*x^11+39.*y^20-2.*x^10+5.*y^21-33.*x^9+12.*y^22+42\
.*x^8-72.*x^9*y^5-58.*x^9*y^4-115.*x^9*y^3+17.*x^9*y^2+66.*x^9*y-112.*x^8*y^22
+66.*x^8*y^21-105.*x^8*y^20+158.*x^8*y^19-69.*x^8*y^18-2.*x^8*y^17+121.*x^8*y^
16-26.*x^8*y^15+113.*x^8*y^14-145.*x^8*y^13-16.*x^8*y^12-39.*x^8*y^11-114.*x^8
*y^10-111.*x^8*y^9-91.*x^8*y^8+3.*x^8*y^7-149.*x^8*y^6+81.*x^8*y^5-28.*x^8*y^4
-10.*x^8*y^3+53.*x^8*y^2-10.*x^8*y+14.*x^7*y^23-79.*x^7*y^22-45.*x^7*y^21-10.*
x^7*y^20-116.*x^7*y^19+23.*x^7*y^18+6.*x^7*y^17-64.*x^7*y^16+61.*x^7*y^15+93.*
x^7*y^14+54.*x^7*y^13+x^7*y^12+168.*x^7*y^11-33.*x^7*y^10+46.*x^7*y^9+52.*x^7*
y^8-36.*x^7*y^7+127.*x^7*y^6+34.*x^7*y^5-2.*x^7*y^4+40.*x^7*y^3-24.*x^7*y^2+6.
*x^7*y-2.*x^6*y^24-50.*x^6*y^23+43.*x^6*y^22-49.*x^6*y^21+28.*x^6*y^20-111.*x^
6*y^19+105.*x^6*y^18+32.*x^6*y^17+150.*x^6*y^16+39.*x^6*y^15-4.*x^6*y^14+17.*x
^6*y^13-15.*x^6*y^12-201.*x^6*y^11-28.*x^6*y^10-161.*x^6*y^9-151.*x^6*y^8-45.*
x^6*y^7-33.*x^6*y^6-16.*x^6*y^5+56.*x^6*y^4-42.*x^6*y^3-12.*x^6*y^2-41.*x^6*y-\
106.*x^5*y^25-81.*x^5*y^24+66.*x^5*y^23+32.*y^23+9.*x^7-16.*y^24-37.*x^6+8.*y^
25+6.*x^5-85.*x^5*y^22+71.*x^5*y^21-68.*x^5*y^20-38.*x^5*y^19-30.*x^5*y^18-107\
.*x^5*y^17+62.*x^5*y^16-43.*x^5*y^15-19.*x^5*y^14+130.*x^5*y^13+46.*x^5*y^12+
56.*x^5*y^11+37.*x^5*y^10-19.*x^5*y^9+96.*x^5*y^8-125.*x^5*y^7+11.*x^5*y^6+32.
*x^5*y^5+53.*x^5*y^4-13.*x^5*y^3-11.*x^5*y^2-20.*x^5*y-87.*x^4*y^26+42.*x^4*y^
25-19.*x^4*y^24-120.*x^4*y^23+97.*x^4*y^22+57.*x^4*y^21+78.*x^4*y^20+88.*x^4*y
^19-10.*x^4*y^18-78.*x^4*y^17+45.*x^4*y^16+58.*x^4*y^15+80.*x^4*y^14+52.*x^4*y
^13+10.*x^4*y^12+8.*x^4*y^11+11.*x^4*y^10-59.*x^4*y^9+20.*x^4*y^8+46.*x^4*y^7+
6.*x^4*y^6+72.*x^4*y^5-8.*x^4*y^4+37.*x^4*y^3+39.*x^4*y^2+20.*x^4*y+14.*x^3*y^
27+63.*x^3*y^26+85.*x^3*y^25-89.*x^3*y^24+103.*x^3*y^23-27.*x^3*y^22-47.*x^3*y
^21+74.*x^3*y^20-15.*x^3*y^19+42.*x^3*y^18+70.*x^3*y^17+88.*x^3*y^16+78.*x^3*y
^15+163.*x^3*y^14+118.*x^3*y^13-19.*x^3*y^12+122.*x^3*y^11-34.*x^3*y^10+2.*x^3
*y^9+68.*x^3*y^8-46.*x^3*y^7+44.*x^3*y^6-20.*x^3*y^5-37.*x^3*y^4+32.*x^3*y^3-6\
.*x^3*y^2-43.*x^3*y+11.*x^2*y^28+29.*x^2*y^27+45.*x^2*y^26-18.*y^26-11.*x^4-31\
.*y^27+14.*x^3-48.*y^28-8.*y^29-75.*x^2*y^25+62.*x^2*y^24-32.*x^2*y^23-82.*x^2
*y^22+20.*x^2*y^21-66.*x^2*y^20+68.*x^2*y^19+54.*x^2*y^18+105.*x^2*y^17-10.*x^
2*y^16-36.*x^2*y^15-33.*x^2*y^14-98.*x^2*y^13+19.*x^2*y^12-133.*x^2*y^11-43.*x
^2*y^10+46.*x^2*y^9-104.*x^2*y^8+23.*x^2*y^7+x^2*y^6-23.*x^2*y^5-12.*x^2*y^4-\
26.*x^2*y^3-34.*x^2*y^2+56.*x^2*y-36.*x*y^29-48.*x*y^28-18.*x*y^27-74.*x*y^26+
3.*x*y^25+4.*x*y^24-131.*x*y^23+46.*x*y^22-69.*x*y^21-9.*x*y^20+5.*x*y^19+14.*
x*y^18+10.*x*y^17+91.*x*y^16+37.*x*y^15-21.*x*y^14+86.*x*y^13+28.*x*y^12+8.*x*
y^11+103.*x*y^10-23.*x*y^9+16.*x*y^8+91.*x*y^7-65.*x*y^6+50.*x*y^5+15.*x*y^4-\
12.*x*y^3+60.*x*y^2-4.*x*y-26.*y^30-17.*y^31+y^32-39.*y^33+y^34-23.*y^35-41.*y
^36-16.*y^37-12.*y^38-13.*y^39-4.*y^40-42.*x*y^30+54.*x*y^31-101.*x*y^32+5.*x*
y^33-37.*x*y^34-89.*x*y^35-4.*x*y^36-46.*x*y^37-12.*x*y^38-1.*x*y^39+14.*x^2*y
^29+88.*x^2*y^30-25.*x^2*y^31+83.*x^2*y^32+19.*x^2*y^33-6.*x^2*y^34+75.*x^2*y^
35-6.*x^2*y^36+42.*x^2*y^37+8.*x^2*y^38+64.*x^3*y^28+33.*x^3*y^29-55.*x^3*y^30
-18.*x^3*y^31-45.*x^3*y^32-46.*x^3*y^33+75.*x^3*y^34+x^3*y^35+5.*x^3*y^36+12.*
x^3*y^37+154.*x^4*y^27+55.*x^4*y^28+26.*x^4*y^29+116.*x^4*y^30+10.*x^4*y^31-31\
.*x^4*y^32+38.*x^4*y^33-8.*x^4*y^34-14.*x^4*y^35+26.*x^4*y^36-41.*x^5*y^26+48.
*x^5*y^27-20.*x^5*y^28-23.*x^5*y^29-65.*x^5*y^30-77.*x^5*y^31-46.*x^5*y^32-87.
*x^5*y^33-20.*x^5*y^34-33.*x^5*y^35+9.*x^6*y^25+76.*x^6*y^26+119.*x^6*y^27+53.
*x^6*y^28+46.*x^6*y^29+7.*x^6*y^30+42.*x^6*y^31-47.*x^6*y^32+22.*x^6*y^33-18.*
x^6*y^34+9.*x^7*y^24-52.*x^7*y^25+50.*x^7*y^26-106.*x^7*y^27-24.*x^7*y^28+10.*
x^7*y^29-20.*x^7*y^30-17.*x^7*y^31+7.*x^7*y^32+5.*x^7*y^33-28.*x^8*y^23-35.*x^
8*y^24+140.*x^8*y^25+19.*x^8*y^26+37.*x^8*y^27-66.*x^8*y^28-8.*x^8*y^30-18.*x^
8*y^31+9.*x^8*y^32-45.*x^9*y^22+65.*x^9*y^23+48.*x^9*y^24+56.*x^9*y^25+30.*x^9
*y^26+89.*x^9*y^27+8.*x^9*y^28+76.*x^9*y^29-45.*x^9*y^30+45.*x^9*y^31-12.*x^10
*y^21-137.*x^10*y^22+69.*x^10*y^23-21.*x^10*y^24+45.*x^10*y^25-130.*x^10*y^26+
44.*x^10*y^27-35.*x^10*y^28+90.*x^10*y^29-8.*x^10*y^30+27.*x^11*y^20+63.*x^11*
y^21-14.*x^11*y^22+109.*x^11*y^23+24.*x^11*y^24+71.*x^11*y^25+36.*x^11*y^26-1.
*x^11*y^27+32.*x^11*y^29-95.*x^12*y^20+15.*x^12*y^21+54.*x^12*y^22-77.*x^12*y^
23+55.*x^12*y^24-96.*x^12*y^25-7.*x^12*y^26-64.*x^12*y^27+11.*x^12*y^28+108.*x
^13*y^18+4.*x^13*y^19+9.*x^13*y^20+175.*x^13*y^21+77.*x^13*y^22+61.*x^12*y^19+
73.*x^13*y^23-58.*x^13*y^24+41.*x^13*y^25-66.*x^13*y^26-21.*x^13*y^27-90.*x^14
*y^17-48.*x^14*y^18+84.*x^14*y^19-7.*x^14*y^20+123.*x^14*y^21+9.*x^14*y^23-9.*
x^14*y^24+72.*x^14*y^25-4.*x^14*y^26-39.*x^15*y^16+44.*x^15*y^17+11.*x^15*y^18
+18.*x^15*y^19+77.*x^15*y^20+108.*x^15*y^21-36.*x^15*y^22+52.*x^15*y^23-30.*x^
15*y^24-21.*x^15*y^25+69.*x^14*y^22-62.*x^16*y^15-51.*x^16*y^16+136.*x^16*y^17
-118.*x^16*y^18+116.*x^16*y^19+18.*x^16*y^20+16.*x^16*y^21+119.*x^16*y^22+4.*x
^16*y^23+19.*x^16*y^24-51.*x^17*y^14+3.*x^17*y^15+54.*x^17*y^16-79.*x^17*y^17-\
3.*x^17*y^18+77.*x^17*y^19-146.*x^17*y^20+32.*x^17*y^21-43.*x^17*y^22+34.*x^17
*y^23-25.*x^18*y^13-20.*x^18*y^14+109.*x^18*y^15-55.*x^18*y^16+58.*x^18*y^17-\
34.*x^18*y^18+45.*x^18*y^19-20.*x^18*y^20+9.*x^18*y^21-2.*x^18*y^22-12.*x^19*y
^12-8.*x^19*y^13-49.*x^19*y^14+94.*x^19*y^15+4.*x^19*y^16+61.*x^19*y^17-7.*x^
19*y^18-13.*x^19*y^19-32.*x^19*y^20+x^19*y^21-26.*x^20*y^11-38.*x^20*y^12+x^20
*y^13+11.*x^20*y^14+80.*x^20*y^15-17.*x^20*y^16+65.*x^20*y^17+28.*x^20*y^18+87\
.*x^20*y^19-47.*x^20*y^20-76.*x^21*y^10-26.*x^21*y^11-65.*x^21*y^12+58.*x^21*y
^13-121.*x^21*y^14+53.*x^21*y^15-52.*x^21*y^16+45.*x^21*y^17+19.*x^21*y^18+13.
*x^21*y^19+33.*x^22*y^9-105.*x^22*y^10+40.*x^22*y^11-20.*x^22*y^12-33.*x^22*y^
13+64.*x^22*y^14+26.*x^22*y^15+72.*x^22*y^16-4.*x^22*y^17+30.*x^22*y^18+176.*x
^23*y^8-44.*x^23*y^9+28.*x^23*y^10+27.*x^23*y^11-93.*x^23*y^12+36.*x^23*y^13-\
148.*x^23*y^14-9.*x^23*y^15-34.*x^23*y^16-11.*x^23*y^17+117.*x^24*y^7-176.*x^
24*y^8+134.*x^24*y^9-53.*x^24*y^10-3.*x^24*y^11+12.*x^24*y^12+15.*x^24*y^13-25\
.*x^24*y^14+30.*x^24*y^15-60.*x^24*y^16+146.*x^25*y^6-107.*x^25*y^7-11.*x^25*y
^8-38.*x^25*y^9-57.*x^25*y^10+112.*x^25*y^11-156.*x^25*y^12+6.*x^25*y^14-61.*x
^25*y^15-39.*x^26*y^5-128.*x^26*y^6+42.*x^26*y^7-62.*x^26*y^8-7.*x^26*y^9+100.
*x^26*y^10-54.*x^26*y^11+139.*x^26*y^12-50.*x^26*y^14+11.*x^25*y^13+117.*x^27*
y^4-92.*x^27*y^5+143.*x^27*y^6-3.*x^27*y^7-59.*x^27*y^8+98.*x^27*y^9-139.*x^27
*y^10+89.*x^27*y^11-9.*x^27*y^12+3.*x^27*y^13+2.*x^28*y^3-82.*x^28*y^4+24.*x^
28*y^5-57.*x^28*y^6-8.*x^28*y^7+64.*x^28*y^8+66.*x^28*y^9+38.*x^28*y^10-7.*x^
28*y^11+21.*x^28*y^12+77.*x^29*y^2-70.*x^29*y^3+8.*x^29*y^4-62.*x^29*y^5-41.*x
^29*y^6+32.*x^29*y^7-22.*x^29*y^8+13.*x^29*y^9+40.*x^29*y^10+31.*x^29*y^11+48.
*x^30*y-5.*x^30*y^2+30.*x^30*y^3-43.*x^30*y^4-62.*x^30*y^5+8.*x^30*y^6-6.*x^30
*y^7-15.*x^30*y^8-18.*x^30*y^9-5.*x^30*y^10-5.*x^31*y-65.*x^31*y^2+48.*x^31+17\
.*x^31*y^3+34.*x^31*y^4-27.*x^31*y^5-49.*x^31*y^6+9.*x^31*y^7+8.*x^31*y^8-5.*x
^31*y^9+10.*x^32-26.*x^32*y-57.*x^32*y^2-28.*x^32*y^3-5.*x^32*y^4+57.*x^32*y^5
+43.*x^32*y^7-47.*x^32*y^8-11.*x^33*y-8.*x^33*y^2-29.*x^33*y^3-31.*x^33+17.*x^
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3454631190e-4*x^25*y^7-.2253895301e-3*x^25*y^8-.4050346797e-3*x^25*y^9+.\
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2534766663e-3*x^31*y^2-.1190349275e-3*x^31+.8022793987e-3*x^31*y^3+.1097735298\
e-3*x^31*y^4-.9370132609e-3*x^31*y^5+.1000858481e-2*x^31*y^6+.2475476405e-3*x^
31*y^7-.4709031254e-3*x^31*y^8+.1047933646e-2*x^31*y^9-.6225693328e-3*x^32-.\
5770197013e-3*x^32*y-.1956253884e-3*x^32*y^2+.5583237956e-3*x^32*y^3+.\
2863892502e-3*x^32*y^4-.8262551666e-3*x^32*y^5+.3781160376e-3*x^32*y^6+.\
6639426797e-3*x^32*y^7-.9001515996e-3*x^32*y^8+.1004547893e-2*x^33*y+.\
8365335870e-3*x^33*y^2-.6610971801e-3*x^33*y^3+.7667593418e-3*x^33-.7004364817\
e-3*x^34+.1109095657e-3*x^33*y^4+.1069723897e-2*x^33*y^5-.8331579374e-3*x^33*y
^6-.8232798345e-3*x^34*y+.9118798183e-3*x^34*y^2+.3604046964e-3*x^34*y^3+.\
5701818469e-3*x^34*y^4+.7029573996e-3*x^34*y^5-.9341461227e-4*x^34*y^6+.\
8310697952e-3*x^35*y+.8379292884e-3*x^35*y^2+.5705605256e-3*x^35*y^3-.\
2538228867e-3*x^35*y^4-.3981102702e-3*x^35*y^5+.4173796036e-3*x^36*y^2-.\
6690169735e-3*x^36*y^3+.1079288238e-2*x^36*y-.6630771285e-3*x^36*y^4-.\
3639967339e-3*x^37*y+.8379401077e-3*x^37*y^2+.8728542790e-3*x^37*y^3+.\
5012623333e-4*x^38*y-.1022140221e-2*x^38*y^2-.5730273464e-3*x^39*y+.4438654700\
e-3*x^35-.7941540369e-3*x^36-.8599359274e-3*x^37-.2162146874e-3*x^38-.\
1079894124e-2*x^39+.4652662231e-3*x^40+.3642239411e-3*x^33*y^7-.6978073700e-3*
x^8*y^29-.3706614781e-3];
gcd_F8 := 30;