g_1(x,y)= 1-0.8696325*y+1.7034283*y^2+0.5184751*y^3-0.4789622*y^4+0.0421284*y^5 +0.0034728*y^6-0.000263*y^7+0.0140463*y^8-0.0080038*y^9-0.0027316*y^10 +0.0021518*y^11+0.0006855*y^12-0.0006844*y^13+0.0000309*y^14+0.0001074*y^15 -0.0000417*y^16+0.0000036*y^17+0.0000049*y^18-0.0000036*y^19+0.0000002*y^20 +0.0000009*y^21-0.0000004*y^22+0.0000001*y^24 +x^2*(-1.0048951-0.2989658*y+0.4635285*y^2-0.1800907*y^3+0.0725056*y^4 -0.0034337*y^5-0.0295812*y^6+0.0222803*y^7+0.0030672*y^8-0.0060644*y^9 -0.0010422*y^10+0.0022309*y^11-0.0005789*y^12-0.0001935*y^13+0.0001948*y^14 -0.0000733*y^15-0.0000007*y^16+0.000019*y^17-0.0000064*y^18-0.0000034*y^19 +0.000003*y^20-0.0000003*y^21-0.0000006*y^22+0.0000003*y^23) +x^4*(-0.0719259+0.1020951*y-0.0977675*y^2+0.0127913*y^3+0.0179438*y^4 -0.0215106*y^5+0.0018414*y^6+0.0062829*y^7-0.0001449*y^8-0.0026948*y^9 +0.001565*y^10-0.000213*y^11-0.0002682*y^12+0.0002255*y^13-0.0000623*y^14 -0.0000278*y^15+0.0000236*y^16+0.0000016*y^17-0.0000079*y^18+0.000003*y^19 +0.0000007*y^20-0.0000011*y^21+0.0000004*y^22-0.0000001*y^24) +x^6*(0.0298854-0.0071445*y-0.0013898*y^2+0.0082485*y^3-0.0037254*y^4 -0.0030119*y^5+0.0011017*y^6+0.0013475*y^7-0.0017233*y^8+0.0008162*y^9 +0.0000272*y^10-0.0002698*y^11+0.0001551*y^12-0.0000044*y^13-0.000034*y^14 +0.0000084*y^15+0.0000092*y^16-0.0000077*y^17+0.0000012*y^18+0.0000016*y^19 -0.0000013*y^20+0.0000002*y^21+0.0000001*y^22-0.0000001*y^23) +x^8*(-0.0009862-0.0009571*y+0.0016498*y^2+0.0007036*y^3-0.0007539*y^4 -0.0000808*y^5+0.0008704*y^6-0.0008208*y^7+0.0002472*y^8+0.0001168*y^9 -0.0001601*y^10+0.000051*y^11+0.000019*y^12-0.0000164*y^13-0.0000033*y^14 +0.0000095*y^15-0.0000047*y^16-0.0000004*y^17+0.0000018*y^18-0.0000009*y^19 +0.0000002*y^21) +x^10*(-0.000238-0.0000766*y+0.0001892*y^2-0.0001571*y^3-0.0001555*y^4 +0.0003732*y^5-0.0002338*y^6+0.0000302*y^7+0.0000757*y^8-0.0000553*y^9 +0.0000038*y^10+0.0000124*y^11-0.0000033*y^12-0.000006*y^13+0.0000061*y^14 -0.0000016*y^15-0.0000011*y^16+0.0000013*y^17-0.0000004*y^18-0.0000001*y^19 +0.0000001*y^20) +x^12*(-0.0000117+0.0000399*y-0.0000178*y^2-0.0000733*y^3+0.0000866*y^4 -0.0000471*y^5-0.000009*y^6+0.0000264*y^7-0.0000104*y^8-0.0000035*y^9 +0.0000044*y^10+0.0000013*y^11-0.0000043*y^12+0.0000026*y^13-0.0000001*y^14 -0.0000009*y^15+0.0000006*y^16-0.0000001*y^18) +x^14*(0.0000064+0.0000037*y-0.0000119*y^2+0.0000157*y^3-0.0000052*y^4 -0.0000053*y^5+0.0000052*y^6-0.0000006*y^7-0.0000021*y^8+0.0000006*y^9 +0.0000015*y^10-0.0000019*y^11+0.0000007*y^12+0.0000002*y^13-0.0000005*y^14 +0.0000002*y^15) +x^16*(-0.0000016*y+0.0000017*y^2-0.000001*y^4+0.0000006*y^5+0.0000004*y^6 -0.0000005*y^7-0.0000001*y^8+0.0000007*y^9-0.0000006*y^10+0.0000001*y^11 +0.0000001*y^12+0.0000001*y^13) +x^18*(-0.0000001-0.0000001*y^3+0.0000001*y^5-0.0000001*y^7+0.0000002*y^8 -0.0000001*y^9) g_2(x,y)= 1.2709296-1.4085003*y+1.332861*y^2+0.6245053*y^3+0.0515328*y^4-0.3434156*y^5 -0.1303952*y^6+0.0549889*y^7+0.0308226*y^8+0.002276*y^9-0.0042775*y^10 -0.0013037*y^11+0.0006066*y^12-0.0001329*y^13-0.0003479*y^14+0.000003*y^15 +0.0001395*y^16+0.0000533*y^17-0.0000219*y^18-0.000023*y^19-0.0000031*y^20 +0.000004*y^21+0.0000021*y^22-0.0000002*y^24-0.0000001*y^25) +x^2*(-0.9039355-0.3575287*y-0.1942313*y^2+0.4121383*y^3+0.2648099*y^4 -0.0615008*y^5-0.0612954*y^6-0.0198487*y^7+0.0059354*y^8+0.0055224*y^9 -0.0005322*y^10+0.0005321*y^11+0.0011416*y^12+0.0000732*y^13-0.000532*y^14 -0.000292*y^15+0.0000562*y^16+0.0001162*y^17+0.0000341*y^18-0.0000153*y^19 -0.0000144*y^20-0.0000028*y^21+0.0000013*y^22+0.000001*y^23+0.0000004*y^24 +0.0000001*y^25-0.0000001*y^27) +x^4*(0.1149239-0.1189743*y-0.1624286*y^2+0.0083472*y^3+0.0353694*y^4 +0.0305969*y^5+0.0020815*y^6-0.0071632*y^7-0.001165*y^8-0.0012989*y^9 -0.0016567*y^10-0.0002407*y^11+0.0008565*y^12+0.000661*y^13-0.0000055*y^14 -0.0002429*y^15-0.0001185*y^16+0.0000149*y^17+0.0000392*y^18+0.0000149*y^19 -0.000001*y^20-0.0000034*y^21-0.000002*y^22-0.0000007*y^23+0.0000003*y^24 +0.0000002*y^26) +x^6*(0.028873+0.0051215*y-0.0030854*y^2-0.0167439*y^3-0.0065918*y^4 +0.0035108*y^5+0.0017591*y^6+0.0017551*y^7+0.0014699*y^8+0.0003381*y^9 -0.0007513*y^10-0.000822*y^11-0.0001399*y^12+0.0002682*y^13+0.0002075*y^14 +0.0000204*y^15-0.0000557*y^16-0.0000353*y^17-0.0000051*y^18+0.0000055*y^19 +0.000005*y^20+0.0000023*y^21+0.0000002*y^22-0.0000007*y^23-0.0000007*y^24 -0.0000001*y^25+0.0000001*y^26+0.0000001*y^27) +x^8*(-0.0015564+0.0030058*y+0.003232*y^2-0.0004119*y^3-0.0006909*y^4 -0.0012182*y^5-0.0008879*y^6-0.0002836*y^7+0.0003772*y^8+0.0006198*y^9 +0.0002252*y^10-0.00016*y^11-0.0002121*y^12-0.000066*y^13+0.000042*y^14 +0.0000472*y^15+0.0000158*y^16-0.0000038*y^17-0.0000075*y^18-0.0000045*y^19 -0.000001*y^20+0.000001*y^21+0.0000012*y^22+0.0000005*y^23-0.0000001*y^24 -0.0000002*y^25-0.0000001*y^26) +x^10*(-0.0004531-0.0000822*y+0.0000042*y^2+0.0004043*y^3+0.000347*y^4 +0.000152*y^5-0.000095*y^6-0.0002909*y^7-0.0001729*y^8+0.0000391*y^9 +0.0001323*y^10+0.0000751*y^11-0.0000116*y^12-0.0000383*y^13-0.0000217*y^14 -0.0000012*y^15+0.0000069*y^16+0.0000057*y^17+0.000002*y^18-0.0000006*y^19 -0.0000014*y^20-0.0000008*y^21+0.0000003*y^23+0.0000002*y^24) +x^12*(0.0000300-0.0000499*y-0.000073*y^2-0.0000473*y^3+0.0000012*y^4 +0.0000825*y^5+0.0000749*y^6+0.0000095*y^7-0.0000493*y^8-0.0000475*y^9 -0.0000068*y^10+0.0000186*y^11+0.0000174*y^12+0.0000049*y^13-0.0000036*y^14 -0.0000049*y^15-0.0000025*y^16+0.0000012*y^18+0.0000009*y^19+0.0000002*y^20 -0.0000002*y^21-0.0000002*y^22) +x^14*(0.0000055+0.0000063*y+0.0000051*y^2-0.0000126*y^3-0.0000181*y^4 -0.0000093*y^5+0.0000095*y^6+0.0000179*y^7+0.0000078*y^8-0.0000046*y^9 -0.0000087*y^10-0.0000046*y^11+0.0000007*y^12+0.0000028*y^13+0.0000021*y^14 +0.0000004*y^15-0.0000006*y^16-0.0000008*y^17-0.0000003*y^18+0.0000001*y^19 +0.0000002*y^20+0.0000001*y^21) +x^16*(-0.0000008+0.0000007*y+0.000002*y^2+0.0000024*y^3-0.0000003*y^4 -0.0000038*y^5-0.0000032*y^6+0.0000026*y^8+0.0000023*y^9+0.0000004*y^10 -0.000001*y^11-0.0000011*y^12-0.0000005*y^13+0.0000002*y^14+0.0000004*y^15 +0.0000002*y^16-0.0000001*y^18-0.0000001*y^19) +x^18*(-0.0000002*y-0.0000001*y^2+0.0000004*y^3+0.0000006*y^4+0.0000003*y^5 -0.0000004*y^6-0.0000007*y^7-0.0000003*y^8+0.0000001*y^9+0.0000004*y^10 +0.0000003*y^11-0.0000001*y^12-0.0000001*y^14) +x^20*(0.0000001*y^5+0.0000001*y^6-0.0000001*y^9)