-- eta relations --
g1:=225*e1^24*e2^24-225*e1^46*e13^2-4950*e1^35*e2^11*e13*e26-2025*e1^24*e2^22*e26^2-921600*e2^46*e26^2+842400*e1^35*e2^9*e13*e26^3+32268600*e1^24*e2^20*e26^4-11980800*e2^44*e26^4+235602900*e1^35*e2^7*e13*e26^5+5418942750*e1^24*e2^18*e26^6-133478092800*e2^42*e26^6+139359115350*e1^35*e2^5*e13*e26^7+4897112670450*e1^24*e2^16*e26^8-24918662246400*e2^40*e26^8+57550597790400*e1^35*e2^3*e13*e26^9+1602501507664200*e1^24*e2^14*e26^10-20506038323097600*e2^38*e26^10+26989600056120000*e1^35*e2*e13*e26^11+876186117255398625*e1^24*e2^12*e26^12-6971329995845529600*e2^36*e26^12+12057682269331857600*e1^22*e2^12*e13^2*e26^12+203430868758677579175*e1^24*e2^10*e26^14-3721192730516671488000*e2^34*e26^14+6112015744509792374400*e1^22*e2^10*e13^2*e26^14+96989332259097181987200*e1^24*e2^8*e26^16-906029077335773749862400*e2^32*e26^16+2123607443738629729420800*e1^22*e2^8*e13^2*e26^16+27748288887007545206438400*e1^24*e2^6*e26^18-416173250259842129641267200*e2^30*e26^18+745926624304274607864321600*e1^22*e2^6*e13^2*e26^18+11184770348206750309274395200*e1^24*e2^4*e26^20-122596044679952088674529484800*e2^28*e26^20+261365721824055151578058617600*e1^22*e2^4*e13^2*e26^20+3580405083956059634249947065600*e1^24*e2^2*e26^22-48405535960571814877176753561600*e2^26*e26^22+91614660599866116379163220921600*e1^22*e2^2*e13^2*e26^22+1334087753816649445583639347641600*e1^24*e26^24-15700388620037092690187835948441600*e2^24*e26^24+32111158435874489666490027875884800*e1^22*e13^2*e26^24+449183566395436107494815209376070400*e1^11*e2^11*e13*e26^25+5415753366572554120052775878053416000*e1^9*e2^11*e13^3*e26^25-5797793033248769145592635642236006400*e2^22*e26^26+62127166576332818413543467078249350400*e1^11*e2^9*e13*e26^27+454062677590985207585756533013869574400*e1^9*e2^9*e13^3*e26^27-94949322563413379220183637731723571200*e2^20*e26^28+1759664352603042529205157235131398150400*e1^11*e2^7*e13*e26^29+6800913223584509118713125053524736441600*e1^9*e2^7*e13^3*e26^29+2949561547812795417072101255746165248000*e2^18*e26^30-7445844134199604691504559838754505100800*e1^11*e2^5*e13*e26^31-239146393068729537611691014429770210809600*e1^9*e2^5*e13^3*e26^31+141191714855953301617706971731846241075200*e2^16*e26^32-1609491569354553926729809784349497297260800*e1^11*e2^3*e13*e26^33-10912885865422130631496075236174896909395200*e1^9*e2^3*e13^3*e26^33-28374690124475991174422339282476581413468608*e1^7*e2^3*e13^5*e26^33+73395344023600119513960965895985540706492928*e1^5*e2^3*e13^7*e26^33+551127740495743226969034259521674197619400448*e1^3*e2^3*e13^9*e26^33+1056397187490888470071773322544608931003410048*e1*e2^3*e13^11*e26^33+632990438644018897096951806497286062899200*e2^14*e26^34-421966300324935924096134300189062759068992*e1^11*e2*e13*e26^35+1628613161538263979822074823928172382690304*e1^9*e2*e13^3*e26^35-17390957849000639469292024163333306775376128*e1^7*e2*e13^5*e26^35-81261322114683728467059486349585302384877696*e1^5*e2*e13^7*e26^35-103945436100152671301324093905630558381670400*e2^12*e26^36-978049057841547527061025862536826227594354688*e2^10*e26^38-3600501656773679045925097241335471859514580992*e2^8*e26^40-5200724615339758621891807126373459352632172544*e2^6*e26^42;
g2:=225*e1^2*e13^46-225*e1^24*e2^2*e26^22-4950*e1^22*e2^2*e13^2*e26^22-52425*e1^24*e26^24+921600*e2^24*e26^24-1476000*e1^22*e13^2*e26^24+4950*e1^2*e13^22*e26^24-2925*e13^24*e26^24-23406300*e1^11*e2^11*e13*e26^25-227328300*e1^9*e2^11*e13^3*e26^25+235008000*e2^22*e26^26-2614954050*e1^11*e2^9*e13*e26^27-18162976950*e1^9*e2^9*e13^3*e26^27+3437164800*e2^20*e26^28-68148508050*e1^11*e2^7*e13*e26^29-242089531650*e1^9*e2^7*e13^3*e26^29-128998166400*e2^18*e26^30+445983048900*e1^11*e2^5*e13*e26^31+10398638162700*e1^9*e2^5*e13^3*e26^31-5576882860800*e2^16*e26^32+65666957838525*e1^11*e2^3*e13*e26^33+430068569560875*e1^9*e2^3*e13^3*e26^33+1035062892706142*e1^7*e2^3*e13^5*e26^33-3389492543595447*e1^5*e2^3*e13^7*e26^33-23041560312257627*e1^3*e2^3*e13^9*e26^33-43521229499346752*e1*e2^3*e13^11*e26^33-14669180323200*e2^14*e26^34+20864729366008*e1^11*e2*e13*e26^35-46919500362221*e1^9*e2*e13^3*e26^35+742339444115697*e1^7*e2*e13^5*e26^35+3347786884693004*e1^5*e2*e13^7*e26^35-17325*e1^3*e2*e13^9*e26^35+62325*e1*e2*e13^11*e26^35+4331307642062400*e2^12*e26^36+40420821741992512*e2^10*e26^38+148332711191563008*e2^8*e26^40+214258360612965056*e2^6*e26^42+1252800*e2^4*e26^44+921600*e2^2*e26^46;
g3:=75*e1^33*e13^3-75*e1^24*e2^11*e26+675*e1^22*e2^11*e13^2*e26-4200*e1^24*e2^9*e26^3+307200*e2^33*e26^3-302250*e1^22*e2^9*e13^2*e26^3-6787950*e1^24*e2^7*e26^5+23961600*e2^31*e26^5-114582000*e1^22*e2^7*e13^2*e26^5-1135489875*e1^24*e2^5*e26^7+28242739200*e2^29*e26^7-40239208425*e1^22*e2^5*e13^2*e26^7-687592893000*e1^24*e2^3*e26^9+5267738112000*e2^27*e26^9-14101536774000*e1^22*e2^3*e13^2*e26^9-173585361066000*e1^24*e2*e26^11+2924968111104000*e2^25*e26^11-4942803086699400*e1^22*e2*e13^2*e26^11-76535724374694000*e1^11*e2^12*e13*e26^12-737505755309232000*e1^9*e2^12*e13^3*e26^12+774131832698265600*e2^23*e26^13-8610992455672471800*e1^11*e2^10*e13*e26^14-59776535257839870600*e1^9*e2^10*e13^3*e26^14+11392652811977548800*e2^21*e26^15-225048074422852792800*e1^11*e2^8*e13*e26^16-802271688944645891400*e1^9*e2^8*e13^3*e26^16-423691416773795289600*e2^19*e26^17+1448185049910025635000*e1^11*e2^6*e13*e26^18+34158307798479143292000*e1^9*e2^6*e13^3*e26^18-18395264642491671667200*e2^17*e26^19+216293050457620343220000*e1^11*e2^4*e13*e26^20+1418737432284466640892000*e1^9*e2^4*e13^3*e26^20-49921996570745303846400*e2^15*e26^21+3495109772043822021928800*e1^11*e2^2*e13*e26^22+2442852067172283746522400*e1^9*e2^2*e13^3*e26^22-110124705750932086530433468*e1^7*e2^2*e13^5*e26^22-712673199705936792410716512*e1^5*e2^2*e13^7*e26^22-1975737354682047997032415592*e1^3*e2^2*e13^9*e26^22-2883457038243744707636497892*e1*e2^2*e13^11*e26^22+14253377513897875079500800*e2^13*e26^23+6029073780356388762637468*e1^11*e13*e26^24+23807425018553372127156784*e1^9*e13^3*e26^24+83732292650246420892753912*e1^7*e13^5*e26^24+221804387557211131356653684*e1^5*e13^7*e26^24+352385417175635176658457600*e2^11*e26^25+2848131424799934212903671552*e2^9*e26^27+9827640556381047050879424768*e2^7*e26^29+14195480803661512406825835776*e2^5*e26^31;
g4:=450*e1^11*e2^13*e13-450*e1^24*e26-5850*e1^22*e13^2*e26-29250*e1^11*e2^11*e13*e26^2-1673100*e1^9*e2^11*e13^3*e26^2+1872000*e2^22*e26^3-17947800*e1^11*e2^9*e13*e26^4-152252100*e1^9*e2^9*e13^3*e26^4+38937600*e2^20*e26^5-631747350*e1^11*e2^7*e13*e26^6-2878948800*e1^9*e2^7*e13^3*e26^6-759283200*e2^18*e26^7-526950450*e1^11*e2^5*e13*e26^8+62822775600*e1^9*e2^5*e13^3*e26^8-48530851200*e2^16*e26^9+510602133600*e1^11*e2^3*e13*e26^10+3770703190800*e1^9*e2^3*e13^3*e26^10+11495716559951*e1^7*e2^3*e13^5*e26^10-15250901559816*e1^5*e2^3*e13^7*e26^10-163542589330406*e1^3*e2^3*e13^9*e26^10-326586767190281*e1*e2^3*e13^11*e26^10-427729536000*e2^14*e26^11+59664186049*e1^11*e2*e13*e26^12-913869401588*e1^9*e2*e13^3*e26^12+4850334867066*e1^7*e2*e13^5*e26^12+25122059014637*e1^5*e2*e13^7*e26^12+31138710220800*e2^12*e26^13+299775267103936*e2^10*e26^15+1113100460956224*e2^8*e26^17+1607811776936768*e2^6*e26^19;
g5:=5000000*e2^24*e13-5078125*e1^22*e13^3+78125*e1^13*e2^11*e26-110703125*e1^11*e2^11*e13^2*e26-39000000*e2^22*e13*e26^2-1625000*e1^13*e2^9*e26^3-1843156250*e1^11*e2^9*e13^2*e26^3-202800000*e2^20*e13*e26^4+123581250*e1^13*e2^7*e26^5-3405350000*e1^11*e2^7*e13^2*e26^5+23112440000*e2^18*e13*e26^6+1363513125*e1^13*e2^5*e26^7-164529210625*e1^11*e2^5*e13^2*e26^7-1153635912000*e2^16*e13*e26^8-26647413000*e1^13*e2^3*e26^9+7129568186000*e1^11*e2^3*e13^2*e26^9-352771974328449*e1^7*e2^3*e13^6*e26^9-2593592171228591*e1^5*e2^3*e13^8*e26^9-7627254360532131*e1^3*e2^3*e13^10*e26^9-10135218462246631*e1*e2^3*e13^12*e26^9+54209966137600*e2^14*e13*e26^10+1287198572400*e1^13*e2*e26^11+20184561630649*e1^11*e2*e13^2*e26^11+74338858323587*e1^9*e2*e13^4*e26^11+346825046378291*e1^7*e2*e13^6*e26^11+779632189403587*e1^5*e2*e13^8*e26^11+1338045515060800*e2^12*e13*e26^12+10269560840945536*e2^10*e13*e26^14+34543703161266624*e2^8*e13*e26^16+49896460121829568*e2^6*e13*e26^18;
g6:=15*e1^3*e13^22-15*e1^10*e2^3*e13^3*e26^9+619*e1^6*e2^3*e13^7*e26^9+4347*e1^4*e2^3*e13^9*e26^9+12492*e1^2*e2^3*e13^11*e26^9+8189*e2^3*e13^13*e26^9-105*e1^12*e2*e13*e26^11-1399*e1^10*e2*e13^3*e26^11-9133*e1^8*e2*e13^5*e26^11-28726*e1^6*e2*e13^7*e26^11-40969*e1^4*e2*e13^9*e26^11-327*e1^2*e2*e13^11*e26^11+3*e2*e13^13*e26^11-6720*e1*e2^10*e26^14-61440*e1*e2^8*e26^16-262336*e1*e2^6*e26^18-522560*e1*e2^4*e26^20-524288*e1*e2^2*e26^22-192*e1*e26^24;
g7:=75*e2*e13^24-75*e1^11*e2^2*e13*e26^11-825*e1^9*e2^2*e13^3*e26^11-4246*e1^7*e2^2*e13^5*e26^11-6789*e1^5*e2^2*e13^7*e26^11+9901*e1^3*e2^2*e13^9*e26^11+34426*e1*e2^2*e13^11*e26^11+46*e1^11*e13*e26^13+523*e1^9*e13^3*e26^13-111*e1^7*e13^5*e26^13-2602*e1^5*e13^7*e26^13-75*e1^3*e13^9*e26^13+75*e1*e13^11*e26^13-4800*e2^11*e26^14-40256*e2^9*e26^16-146304*e2^7*e26^18-209728*e2^5*e26^20-24000*e2^3*e26^22;
g8:=45*e1^20*e13^4-45*e1^11*e2^11*e13*e26+405*e1^9*e2^11*e13^3*e26-2520*e1^11*e2^9*e13*e26^3+5850*e1^9*e2^9*e13^3*e26^3-2880*e2^20*e26^4+8190*e1^11*e2^7*e13*e26^5+365040*e1^9*e2^7*e13^3*e26^5-187200*e2^18*e26^6+2060955*e1^11*e2^5*e13*e26^7+14335425*e1^9*e2^5*e13^3*e26^7-973440*e2^16*e26^8+38755080*e1^11*e2^3*e13*e26^9+61691760*e1^9*e2^3*e13^3*e26^9-942712927*e1^7*e2^3*e13^5*e26^9-7008526668*e1^5*e2^3*e13^7*e26^9-20644262093*e1^3*e2^3*e13^9*e26^9-30997767398*e1*e2^3*e13^11*e26^9+132874560*e2^14*e26^10+58464367*e1^11*e2*e13*e26^11+219805456*e1^9*e2*e13^3*e26^11+854345193*e1^7*e2*e13^5*e26^11+2384443646*e1^5*e2*e13^7*e26^11+3701505600*e2^12*e26^12+30392559808*e2^10*e26^14+105649195392*e2^8*e26^16+152604393344*e2^6*e26^18;
g9:=225*e1^4*e13^20-225*e1^11*e2^3*e13*e26^9-1575*e1^9*e2^3*e13^3*e26^9-5342*e1^7*e2^3*e13^5*e26^9+6897*e1^5*e2^3*e13^7*e26^9+73427*e1^3*e2^3*e13^9*e26^9+144602*e1*e2^3*e13^11*e26^9-58*e1^11*e2*e13*e26^11+521*e1^9*e2*e13^3*e26^11-2697*e1^7*e2*e13^5*e26^11-10154*e1^5*e2*e13^7*e26^11-2025*e1^3*e2*e13^9*e26^11+2925*e1*e2*e13^11*e26^11-14400*e2^12*e26^12-133312*e2^10*e26^14-494208*e2^8*e26^16-721856*e2^6*e26^18-14400*e2^4*e26^20;
g10:=e1^3*e2*e13^13-e1^2*e2^8*e13^2*e26^5+e2^8*e13^4*e26^5-8*e1^2*e2^6*e13^2*e26^7+e2^6*e13^4*e26^7+e1^4*e2^4*e26^9-22*e1^2*e2^4*e13^2*e26^9+4*e1^4*e2^2*e26^11-13*e1^2*e2^2*e13^2*e26^11+e1^4*e26^13;
g11:=6*e2^4*e13^13-e1^6*e2^2*e13^7*e26^2-12*e1^4*e2^2*e13^9*e26^2-36*e1^2*e2^2*e13^11*e26^2-11*e2^2*e13^13*e26^2+e1^10*e13^3*e26^4+10*e1^8*e13^5*e26^4+40*e1^6*e13^7*e26^4+55*e1^4*e13^9*e26^4+64*e1*e2^5*e26^11+320*e1*e2^3*e26^13+704*e1*e2*e26^15;
g12:=e1*e2*e13^15-e2^8*e13^4*e26^5+e1^2*e2^6*e13^2*e26^7-4*e2^6*e13^4*e26^7+6*e1^2*e2^4*e13^2*e26^9-5*e2^4*e13^4*e26^9-e1^4*e2^2*e26^11+8*e1^2*e2^2*e13^2*e26^11-e1^4*e26^13+e1^2*e13^2*e26^13;
g13:=225*e2^2*e13^15-22*e1^10*e13^5*e26^2-198*e1^8*e13^7*e26^2-686*e1^6*e13^9*e26^2-1125*e1^4*e13^11*e26^2+22*e1*e2^11*e13^2*e26^3+136*e1*e2^9*e13^2*e26^5-22*e1^3*e2^7*e26^7-552*e1*e2^7*e13^2*e26^7-48*e1^3*e2^5*e26^9-5614*e1*e2^5*e13^2*e26^9+832*e1^3*e2^3*e26^11-14400*e1*e2^3*e13^2*e26^11+982*e1^3*e2*e26^13-14400*e1*e2*e13^2*e26^13;
g14:=e1^11*e13^5-e1^2*e2^11*e13^2*e26+9*e2^11*e13^4*e26-56*e1^2*e2^9*e13^2*e26^3+65*e2^9*e13^4*e26^3+e1^4*e2^7*e26^5-390*e1^2*e2^7*e13^2*e26^5+52*e1^4*e2^5*e26^7-845*e1^2*e2^5*e13^2*e26^7+169*e1^4*e2^3*e26^9;
g15:=450*e1^7*e2^4*e13^5-450*e1^11*e2^2*e13*e26^2-1800*e1^9*e2^2*e13^3*e26^2-1391*e1^7*e2^2*e13^5*e26^2+29406*e1^5*e2^2*e13^7*e26^2+149396*e1^3*e2^2*e13^9*e26^2+314171*e1*e2^2*e13^11*e26^2-409*e1^11*e13*e26^4-442*e1^9*e13^3*e26^4-4056*e1^7*e13^5*e26^4-24167*e1^5*e13^7*e26^4-28800*e2^11*e26^5-285376*e2^9*e26^7-1070784*e2^7*e26^9-1546688*e2^5*e26^11;
g16:=e1^9*e13^7-e2^11*e13^4*e26+9*e1^2*e2^9*e13^2*e26^3-20*e2^9*e13^4*e26^3+102*e1^2*e2^7*e13^2*e26^5-13*e2^7*e13^4*e26^5-9*e1^4*e2^5*e26^7+312*e1^2*e2^5*e13^2*e26^7-65*e1^4*e2^3*e26^9+169*e1^2*e2^3*e13^2*e26^9;
g17:=225*e1^7*e2^2*e13^7-225*e1^11*e13^3*e26^2-1138*e1^9*e13^5*e26^2-3042*e1^7*e13^7*e26^2-4394*e1^5*e13^9*e26^2+238*e2^11*e13^2*e26^3-656*e2^9*e13^2*e26^5-238*e1^2*e2^7*e26^7+4992*e2^7*e13^2*e26^7-12792*e1^2*e2^5*e26^9+4394*e2^5*e13^2*e26^9-82472*e1^2*e2^3*e26^11-57122*e1^2*e2*e26^13;
g18:=90*e1^5*e2^4*e13^7-90*e1^9*e2^2*e13^3*e26^2-383*e1^7*e2^2*e13^5*e26^2-312*e1^5*e2^2*e13^7*e26^2+338*e1^3*e2^2*e13^9*e26^2-2197*e1*e2^2*e13^11*e26^2+23*e1^11*e13*e26^4+44*e1^9*e13^3*e26^4-78*e1^7*e13^5*e26^4+169*e1^5*e13^7*e26^4+1472*e2^9*e26^7+7488*e2^7*e26^9+10816*e2^5*e26^11;
g19:=e1^7*e13^9-e1^2*e2^9*e13^2*e26^3+5*e2^9*e13^4*e26^3-24*e1^2*e2^7*e13^2*e26^5+9*e2^7*e13^4*e26^5+e1^4*e2^5*e26^7-102*e1^2*e2^5*e13^2*e26^7+20*e1^4*e2^3*e26^9-117*e1^2*e2^3*e13^2*e26^9+13*e1^4*e2*e26^11;
g20:=225*e1^5*e2^2*e13^9-247*e1^9*e13^5*e26^2-1098*e1^7*e13^7*e26^2-1586*e1^5*e13^9*e26^2+22*e2^11*e13^2*e26^3+136*e2^9*e13^2*e26^5-22*e1^2*e2^7*e26^7-552*e2^7*e13^2*e26^7-48*e1^2*e2^5*e26^9+1586*e2^5*e13^2*e26^9+832*e1^2*e2^3*e26^11-20618*e1^2*e2*e26^13;
g21:=50*e1^3*e2^4*e13^9-49*e1^7*e2^2*e13^5*e26^2-216*e1^5*e2^2*e13^7*e26^2-156*e1^3*e2^2*e13^9*e26^2+169*e1*e2^2*e13^11*e26^2-e1^11*e13*e26^4+12*e1^9*e13^3*e26^4+16*e1^7*e13^5*e26^4-13*e1^5*e13^7*e26^4-64*e2^9*e26^7-576*e2^7*e26^9-832*e2^5*e26^11;
g22:=e1^5*e13^11-e2^9*e13^4*e26^3+5*e1^2*e2^7*e13^2*e26^5-4*e2^7*e13^4*e26^5+30*e1^2*e2^5*e13^2*e26^7-e2^5*e13^4*e26^7-5*e1^4*e2^3*e26^9+56*e1^2*e2^3*e13^2*e26^9-9*e1^4*e2*e26^11+13*e1^2*e2*e13^2*e26^11;
g23:=75*e1^3*e2^2*e13^11+14*e1^9*e13^5*e26^2+51*e1^7*e13^7*e26^2+82*e1^5*e13^9*e26^2-14*e2^11*e13^2*e26^3-32*e2^9*e13^2*e26^5+14*e1^2*e2^7*e26^7+24*e2^7*e13^2*e26^7-24*e1^2*e2^5*e26^9-82*e2^5*e13^2*e26^9+16*e1^2*e2^3*e26^11+1066*e1^2*e2*e26^13;
g24:=90*e1*e2^4*e13^11-e1^7*e2^2*e13^5*e26^2-84*e1^5*e2^2*e13^7*e26^2-404*e1^3*e2^2*e13^9*e26^2-299*e1*e2^2*e13^11*e26^2+e1^11*e13*e26^4-2*e1^9*e13^3*e26^4+24*e1^7*e13^5*e26^4+23*e1^5*e13^7*e26^4+64*e2^9*e26^7+576*e2^7*e26^9+1472*e2^5*e26^11;
g25:=225*e1*e2^2*e13^13+2*e1^9*e13^5*e26^2+18*e1^7*e13^7*e26^2+e1^5*e13^9*e26^2-2*e2^11*e13^2*e26^3-176*e2^9*e13^2*e26^5+2*e1^2*e2^7*e26^7-768*e2^7*e13^2*e26^7+168*e1^2*e2^5*e26^9-1126*e2^5*e13^2*e26^9+88*e1^2*e2^3*e26^11+238*e1^2*e2*e26^13;
g26:=75*e2^13*e13^2-75*e1^13*e13*e26-975*e1^11*e13^3*e26-6422*e1^9*e13^5*e26-19773*e1^7*e13^7*e26-28561*e1^5*e13^9*e26+1547*e2^11*e13^2*e26^2-4875*e1^2*e2^9*e26^4+7436*e2^9*e13^2*e26^4-44447*e1^2*e2^7*e26^6+19773*e2^7*e13^2*e26^6-184548*e1^2*e2^5*e26^8+28561*e2^5*e13^2*e26^8-371293*e1^2*e2^3*e26^10-371293*e1^2*e2*e26^12;
g27:=4875*e1^9*e2^2*e13^4+44447*e1^7*e2^2*e13^6+184548*e1^5*e2^2*e13^8+371293*e1^3*e2^2*e13^10+371293*e1*e2^2*e13^12-4800*e2^13*e13*e26-75*e1^13*e26^2-1547*e1^11*e13^2*e26^2-7436*e1^9*e13^4*e26^2-19773*e1^7*e13^6*e26^2-28561*e1^5*e13^8*e26^2-62400*e2^11*e13*e26^3-411008*e2^9*e13*e26^5-1265472*e2^7*e13*e26^7-1827904*e2^5*e13*e26^9;
g28:=e1^9*e2*e13^5+9*e1^7*e2*e13^7+38*e1^5*e2*e13^9+75*e1^3*e2*e13^11+75*e1*e2*e13^13-e2^12*e13^2*e26-13*e2^10*e13^2*e26^3+e1^2*e2^8*e26^5-84*e2^8*e13^2*e26^5+9*e1^2*e2^6*e26^7-263*e2^6*e13^2*e26^7+44*e1^2*e2^4*e26^9-375*e2^4*e13^2*e26^9+119*e1^2*e2^2*e26^11+75*e1^2*e26^13;
g29:=e1^8*e2^2*e13^5+9*e1^6*e2^2*e13^7+44*e1^4*e2^2*e13^9+119*e1^2*e2^2*e13^11+75*e2^2*e13^13-e1^12*e13*e26^2-13*e1^10*e13^3*e26^2-84*e1^8*e13^5*e26^2-263*e1^6*e13^7*e26^2-375*e1^4*e13^9*e26^2-64*e1*e2^9*e26^5-576*e1*e2^7*e26^7-2432*e1*e2^5*e26^9-4800*e1*e2^3*e26^11-4800*e1*e2*e26^13;
g30:=e2^6*e13^6-e1^4*e2^4*e13^2*e26^2-4*e1^2*e2^4*e13^4*e26^2-4*e1^4*e2^2*e13^2*e26^4-13*e1^2*e2^2*e13^4*e26^4+e1^6*e26^6;
-- Somos eta relations --
x26_12_90:=e2^6*e13^6-e1^4*e2^4*e13^2*e26^2-4*e1^2*e2^4*e13^4*e26^2-4*e1^4*e2^2*e13^2*e26^4-13*e1^2*e2^2*e13^4*e26^4+e1^6*e26^6;
x26_15_52:=75*e2^13*e13^2-75*e1^13*e13*e26-975*e1^11*e13^3*e26-6422*e1^9*e13^5*e26-19773*e1^7*e13^7*e26-28561*e1^5*e13^9*e26+1547*e2^11*e13^2*e26^2-4875*e1^2*e2^9*e26^4+7436*e2^9*e13^2*e26^4-44447*e1^2*e2^7*e26^6+19773*e2^7*e13^2*e26^6-184548*e1^2*e2^5*e26^8+28561*e2^5*e13^2*e26^8-371293*e1^2*e2^3*e26^10-371293*e1^2*e2*e26^12;
x26_15_65:=-4875*e1^9*e2^2*e13^4-44447*e1^7*e2^2*e13^6-184548*e1^5*e2^2*e13^8-371293*e1^3*e2^2*e13^10-371293*e1*e2^2*e13^12+4800*e2^13*e13*e26+75*e1^13*e26^2+1547*e1^11*e13^2*e26^2+7436*e1^9*e13^4*e26^2+19773*e1^7*e13^6*e26^2+28561*e1^5*e13^8*e26^2+62400*e2^11*e13*e26^3+411008*e2^9*e13*e26^5+1265472*e2^7*e13*e26^7+1827904*e2^5*e13*e26^9;
x26_15_76:=e1^9*e2*e13^5+9*e1^7*e2*e13^7+38*e1^5*e2*e13^9+75*e1^3*e2*e13^11+75*e1*e2*e13^13-e2^12*e13^2*e26-13*e2^10*e13^2*e26^3+e1^2*e2^8*e26^5-84*e2^8*e13^2*e26^5+9*e1^2*e2^6*e26^7-263*e2^6*e13^2*e26^7+44*e1^2*e2^4*e26^9-375*e2^4*e13^2*e26^9+119*e1^2*e2^2*e26^11+75*e1^2*e26^13;
x26_15_77:=-e1^8*e2^2*e13^5-9*e1^6*e2^2*e13^7-44*e1^4*e2^2*e13^9-119*e1^2*e2^2*e13^11-75*e2^2*e13^13+e1^12*e13*e26^2+13*e1^10*e13^3*e26^2+84*e1^8*e13^5*e26^2+263*e1^6*e13^7*e26^2+375*e1^4*e13^9*e26^2+64*e1*e2^9*e26^5+576*e1*e2^7*e26^7+2432*e1*e2^5*e26^9+4800*e1*e2^3*e26^11+4800*e1*e2*e26^13;
-- Relation relations --
relationRelations := [_
x26_12_90-1*g30,_
x26_15_52-1*g26,_
x26_15_65+g27,_
x26_15_76-1*g28,_
x26_15_77+g29];