-- eta relations --
g1:=e1^24*e2^24-e1^44*e7^4-20*e1^41*e2^3*e7*e14^3-146*e1^24*e2^20*e14^4-4096*e2^44*e14^4+5656*e1^34*e2^6*e7^2*e14^6+146167*e1^24*e2^16*e14^8+516096*e2^40*e14^8+469616*e1^34*e2^2*e7^2*e14^10+3326414*e1^24*e2^12*e14^12-545312768*e2^36*e14^12+435228584*e1^27*e2^5*e7^3*e14^13+13498482025*e1^24*e2^8*e14^16-25606217728*e2^32*e14^16+178904714184*e1^27*e2*e7^3*e14^17+2493293037816*e1^24*e2^4*e14^20-55781064622080*e2^28*e14^20+71251515798680*e1^20*e2^4*e7^4*e14^20+1164860786003488*e1^24*e14^24-11337861789212672*e2^24*e14^24+27721862188120128*e1^20*e7^4*e14^24+303425238704891296*e1^17*e2^3*e7*e14^27+6831434321790952832*e1^13*e2^3*e7^5*e14^27-4988653008662622208*e2^20*e14^28+68861099970168500288*e1^10*e2^6*e7^2*e14^30+492138320461144691264*e1^6*e2^6*e7^6*e14^30-252481352836197588992*e2^16*e14^32+1546448286121710232576*e1^10*e2^2*e7^2*e14^34+17079209556250016279552*e1^6*e2^2*e7^6*e14^34+119554466893750113956864*e1^2*e2^2*e7^10*e14^34-7147510346740622458880*e2^12*e14^36-75775966019963801396224*e1^3*e2^5*e7^3*e14^37-136633676450000130236416*e2^8*e14^40-119554466893750113956864*e1^3*e2*e7^3*e14^41;
g2:=e1^4*e7^44-e1^24*e2^4*e14^20-20*e1^20*e2^4*e7^4*e14^20-154*e1^24*e14^24+4096*e2^24*e14^24-5856*e1^20*e7^4*e14^24+20*e1^4*e7^20*e14^24-49*e7^24*e14^24-88083*e1^17*e2^3*e7*e14^27-1324443*e1^13*e2^3*e7^5*e14^27+712704*e2^20*e14^28-10672893*e1^10*e2^6*e7^2*e14^30-92864239*e1^6*e2^6*e7^6*e14^30+58312192*e2^16*e14^32-357163105*e1^10*e2^2*e7^2*e14^34-3702898796*e1^6*e2^2*e7^6*e14^34-25920291946*e1^2*e2^2*e7^10*e14^34+1374580032*e2^12*e14^36+17500990352*e1^3*e2^5*e7^3*e14^37+29623192512*e2^8*e14^40+25920291672*e1^3*e2*e7^3*e14^41+4096*e2^4*e14^44;
g3:=e1^37*e7^5-e1^24*e2^17*e14+13*e1^34*e2^3*e7^2*e14^3+48*e1^24*e2^13*e14^5+4096*e2^37*e14^5-4382*e1^27*e2^6*e7^3*e14^6-110642*e1^24*e2^9*e14^9-114688*e2^33*e14^9-1085154*e1^27*e2^2*e7^3*e14^10-10874815*e1^24*e2^5*e14^13+446365696*e2^29*e14^13-473661734*e1^20*e2^5*e7^4*e14^13-8880453848*e1^24*e2*e14^17+53635936256*e2^25*e14^17-180598686912*e1^20*e2*e7^4*e14^17-1677654168232*e1^17*e2^4*e7*e14^20-46684687192192*e1^13*e2^4*e7^5*e14^20+37359686619136*e2^21*e14^21-505189880907264*e1^17*e7*e14^24-6922290208374464*e1^13*e7^5*e14^24+1594772935168000*e2^17*e14^25-33469711522069312*e1^10*e2^3*e7^2*e14^27-357616251501613888*e1^6*e2^3*e7^6*e14^27-4877659301983738368*e1^2*e2^3*e7^10*e14^27+275182091940188160*e2^13*e14^29+3192168988850085888*e1^3*e2^6*e7^3*e14^30+5574467773695700992*e2^9*e14^33+4877659301983738368*e1^3*e2^2*e7^3*e14^34;
g4:=e1^17*e2^7*e7-e1^24*e14-7*e1^20*e7^4*e14-3577*e1^13*e2^3*e7^5*e14^4+3584*e2^20*e14^5-46648*e1^10*e2^6*e7^2*e14^7-246960*e1^6*e2^6*e7^6*e14^7+75264*e2^16*e14^9-460992*e1^10*e2^2*e7^2*e14^11-6300224*e1^6*e2^2*e7^6*e14^11-44101568*e1^2*e2^2*e7^10*e14^11+3512320*e2^12*e14^13+22588608*e1^3*e2^5*e7^3*e14^14+50401792*e2^8*e14^17+44101568*e1^3*e2*e7^3*e14^18;
g5:=8*e2^24*e7-7*e1^20*e7^5-e1^7*e2^17*e14-147*e1^17*e2^3*e7^2*e14^3-1288*e2^20*e7*e14^4+168*e1^7*e2^13*e14^5+13034*e1^10*e2^6*e7^3*e14^6+60368*e2^16*e7*e14^8+686*e1^7*e2^9*e14^9-369754*e1^10*e2^2*e7^3*e14^10-2958032*e2^12*e7*e14^12+386561*e1^7*e2^5*e14^13+18117946*e1^3*e2^5*e7^4*e14^13;
g6:=e1^5*e7^20-e1^7*e2^6*e7^6*e14^6-2*e1^11*e2^2*e7^2*e14^10-19*e1^7*e2^2*e7^6*e14^10-10*e1^4*e2^5*e7^3*e14^13-115*e2^5*e7^7*e14^13+128*e1*e2^8*e14^16+21*e1^4*e2*e7^3*e14^17+7*e2*e7^7*e14^17+912*e1*e2^4*e14^20-56*e1*e14^24;
g7:=7*e2*e7^24+e1^5*e7^13*e14^7-7*e1*e7^17*e14^7-7*e1^10*e2^3*e7^2*e14^10-71*e1^6*e2^3*e7^6*e14^10-583*e1^2*e2^3*e7^10*e14^10+400*e1^3*e2^6*e7^3*e14^13+448*e2^9*e14^16+576*e1^3*e2^2*e7^3*e14^17-512*e2^5*e14^20;
g8:=e1^10*e2^7*e7^2-e1^17*e7*e14-7*e1^13*e7^5*e14-441*e1^6*e2^3*e7^6*e14^4-5488*e1^2*e2^3*e7^10*e14^4+448*e2^13*e14^6+2744*e1^3*e2^6*e7^3*e14^7+6272*e2^9*e14^10+5488*e1^3*e2^2*e7^3*e14^11;
g9:=7*e1^13*e7^6-8*e2^17*e7*e14+e1^7*e2^10*e14^2+98*e1^10*e2^3*e7^3*e14^3+448*e2^13*e7*e14^5-63*e1^7*e2^6*e14^6-2744*e1^3*e2^6*e7^4*e14^6-343*e1^7*e2^2*e14^10;
g10:=e1^6*e7^13-e1^7*e2^3*e7^6*e14^3-e1^4*e2^6*e7^3*e14^6-2*e2^6*e7^7*e14^6+14*e1^4*e2^2*e7^3*e14^10+7*e2^2*e7^7*e14^10+8*e1*e2^5*e14^13-56*e1*e2*e14^17;
g11:=49*e1*e2*e7^17-64*e1^3*e2^7*e7^3*e14^6+15*e1^10*e7^2*e14^7+7*e1^6*e7^6*e14^7-49*e1^2*e7^10*e14^7-784*e1^3*e2^3*e7^3*e14^10-448*e2^6*e14^13;
g12:=8*e2^14*e7^2-9*e1^7*e2^7*e7*e14+e1^14*e14^2-49*e1^10*e7^4*e14^2-392*e2^10*e7^2*e14^4+2401*e1^3*e2^3*e7^5*e14^5;
g13:=e2^2*e7^14-e1*e2^5*e7^7*e14^3-e1^5*e2*e7^3*e14^7-9*e1*e2*e7^7*e14^7+8*e1^2*e14^14;
g14:=e1^4*e2^7*e7^3-e1^11*e7^2*e14-7*e1^7*e7^6*e14-49*e2^3*e7^7*e14^4+56*e1*e2^6*e14^7+392*e1*e2^2*e14^11;
g15:=e1^3*e2^8*e7^3-e1^10*e2*e7^2*e14-7*e1^6*e2*e7^6*e14-49*e1^2*e2*e7^10*e14+49*e1^3*e2^4*e7^3*e14^4+56*e2^7*e14^7+49*e1^3*e7^3*e14^8;
g16:=e1^3*e2^7*e7^4-e1^10*e7^3*e14-8*e2^10*e7*e14^3+e1^7*e2^3*e14^4+49*e1^3*e2^3*e7^4*e14^4;
g17:=7*e1^7*e7^7-8*e1*e2^10*e7*e14^2+e1^8*e2^3*e14^3+49*e1^4*e2^3*e7^4*e14^3+49*e2^3*e7^8*e14^3-56*e1*e2^6*e7*e14^6-392*e1*e2^2*e7*e14^10;
g18:=7*e1^6*e2*e7^7-8*e2^11*e7*e14^2+e1^7*e2^4*e14^3+49*e1^3*e2^4*e7^4*e14^3-7*e1^7*e14^7;
g19:=e2^7*e7^7-e1^7*e7^6*e14-7*e1^4*e2^3*e7^3*e14^4-7*e2^3*e7^7*e14^4+56*e1*e2^2*e14^11;
g20:=e1^3*e2*e7^10-e1^4*e2^4*e7^3*e14^3-e2^4*e7^7*e14^3-e1^4*e7^3*e14^7+8*e1*e2^3*e14^10;
g21:=7*e1^2*e2*e7^11-7*e1^3*e2^4*e7^4*e14^3-8*e2^7*e7*e14^6+e1^7*e14^7-7*e1^3*e7^4*e14^7;
g22:=e2^8*e7^4-e1^7*e2*e7^3*e14-7*e1^3*e2*e7^7*e14+7*e1^4*e14^8;
g23:=7*e2^4*e7^8-8*e1*e2^7*e7*e14^3+e1^8*e14^4-56*e1*e2^3*e7*e14^7;
-- Somos eta relations --
q14_12_44:=-e2^8*e7^4+e1^7*e2*e7^3*e14+7*e1^3*e2*e7^7*e14-7*e1^4*e14^8;
q14_12_64:=7*e2^4*e7^8-8*e1*e2^7*e7*e14^3+e1^8*e14^4-56*e1*e2^3*e7*e14^7;
x14_14_39:=-e1^4*e2^7*e7^3+7*e2^7*e7^7+e1^11*e7^2*e14-49*e1^4*e2^3*e7^3*e14^4-56*e1*e2^6*e14^7;
x14_14_45:=e1^3*e2^7*e7^4-e1^10*e7^3*e14-8*e2^10*e7*e14^3+e1^7*e2^3*e14^4+49*e1^3*e2^3*e7^4*e14^4;
x14_14_57:=7*e1^6*e2*e7^7-8*e2^11*e7*e14^2+e1^7*e2^4*e14^3+49*e1^3*e2^4*e7^4*e14^3-7*e1^7*e14^7;
x14_14_63:=-e2^7*e7^7+e1^7*e7^6*e14+7*e1^4*e2^3*e7^3*e14^4+7*e2^3*e7^7*e14^4-56*e1*e2^2*e14^11;
x14_14_75:=-e1^3*e2*e7^10+e1^4*e2^4*e7^3*e14^3+e2^4*e7^7*e14^3+e1^4*e7^3*e14^7-8*e1*e2^3*e14^10;
x14_14_81:=7*e1^2*e2*e7^11-7*e1^3*e2^4*e7^4*e14^3-8*e2^7*e7*e14^6+e1^7*e14^7-7*e1^3*e7^4*e14^7;
x14_16_42:=8*e2^14*e7^2-9*e1^7*e2^7*e7*e14-49*e1^3*e2^7*e7^5*e14+e1^14*e14^2-49*e1^7*e2^3*e7*e14^5;
x14_16_57a:=e2^11*e7^5-e1^7*e2^4*e7^4*e14-8*e1^4*e2^7*e7*e14^4+e1^11*e14^5-49*e1^4*e2^3*e7*e14^8;
x14_16_57b:=8*e2^11*e7^5-8*e1^7*e2^4*e7^4*e14-49*e1^3*e2^4*e7^8*e14-8*e1^4*e2^7*e7*e14^4+e1^11*e14^5;
x14_16_87a:=-e2^5*e7^11+e1*e2^8*e7^4*e14^3+e1^4*e2*e7^7*e14^4+8*e1*e2^4*e7^4*e14^7-e1^5*e14^11;
x14_16_87b:=-e2^5*e7^11+e1^8*e2*e7^3*e14^4+8*e1^4*e2*e7^7*e14^4+8*e1*e2^4*e7^4*e14^7-8*e1^5*e14^11;
x14_16_102:=-e2^2*e7^14+e1*e2^5*e7^7*e14^3+e1^5*e2*e7^3*e14^7+9*e1*e2*e7^7*e14^7-8*e1^2*e14^14;
x14_17_66a:=-e1^3*e2^7*e7^7+e1^10*e7^6*e14+e2^10*e7^4*e14^3+6*e1^7*e2^3*e7^3*e14^4-49*e1^4*e2^2*e14^11;
x14_17_66b:=-e1^3*e2^7*e7^7+e1^10*e7^6*e14+7*e2^10*e7^4*e14^3-42*e1^3*e2^3*e7^7*e14^4-7*e1^4*e2^2*e14^11;
x14_17_78a:=-e1^6*e2*e7^10+e2^11*e7^4*e14^2-6*e1^3*e2^4*e7^7*e14^3+e1^7*e7^3*e14^7-e1^4*e2^3*e14^10;
x14_17_78b:=-7*e1^6*e2*e7^10+e2^11*e7^4*e14^2+6*e1^7*e2^4*e7^3*e14^3+7*e1^7*e7^3*e14^7-49*e1^4*e2^3*e14^10;
x14_17_81a:=-49*e1^3*e2^4*e7^10+48*e1^4*e2^7*e7^3*e14^3+56*e2^7*e7^7*e14^3+e1^11*e7^2*e14^4-448*e1*e2^6*e14^10;
x14_17_81b:=-e1^3*e2^4*e7^10+8*e2^7*e7^7*e14^3+e1^11*e7^2*e14^4-48*e1^4*e2^3*e7^3*e14^7-64*e1*e2^6*e14^10;
x14_17_87a:=-49*e1^2*e2^4*e7^11+48*e1^3*e2^7*e7^4*e14^3+e1^10*e7^3*e14^4+64*e2^10*e7*e14^6-8*e1^7*e2^3*e14^7;
x14_17_87b:=7*e1^2*e2^4*e7^11-7*e1^10*e7^3*e14^4-64*e2^10*e7*e14^6+8*e1^7*e2^3*e14^7+336*e1^3*e2^3*e7^4*e14^7;
x14_18_56:=e2^14*e7^4-2*e1^7*e2^7*e7^3*e14+e1^14*e7^2*e14^2-49*e1^7*e2^3*e7^3*e14^5-49*e1^4*e2^6*e14^8;
x14_18_70:=-49*e1^6*e2^4*e7^8+64*e2^14*e7^2*e14^2-16*e1^7*e2^7*e7*e14^3-392*e1^3*e2^7*e7^5*e14^3+e1^14*e14^4;
x14_18_104:=-e1^2*e2^2*e7^14+e1^3*e2^5*e7^7*e14^3+e2^8*e7^4*e14^6+2*e1^3*e2*e7^7*e14^7-e1^4*e14^14;
x14_18_106:=-e2^4*e7^14+e1^8*e7^6*e14^4+8*e1^5*e2^3*e7^3*e14^7+16*e1*e2^3*e7^7*e14^7-64*e1^2*e2^2*e14^14;
x14_24_108:=e2^12*e7^12-e1^8*e2^8*e7^4*e14^4-8*e1^4*e2^8*e7^8*e14^4-8*e1^8*e2^4*e7^4*e14^8-49*e1^4*e2^4*e7^8*e14^8+e1^12*e14^12;
-- Relation relations --
relationRelations := [_
q14_12_44+g22,_
q14_12_64-1*g23,_
x14_14_39+g14-7*g19,_
x14_14_45-1*g16,_
x14_14_57-1*g18,_
x14_14_63+g19,_
x14_14_75+g20,_
x14_14_81-1*g21,_
x14_16_42-1*g12+49*e7*e14*g16,_
x14_16_57a-e2^3*e7*g22-e1^3*e14*g23,_
x14_16_57b-8*e2^3*e7*g22-e1^3*e14*g23,_
7*x14_16_87a+e1*e14^3*g22+e2*e7^3*g23,_
7*x14_16_87b+8*e1*e14^3*g22+e2*e7^3*g23,_
x14_16_102+g13,_
x14_17_66a+e7^3*g16+7*e2^2*e14^3*g22,_
x14_17_66b+e7^3*g16+e2^2*e14^3*g22,_
7*x14_17_78a+e7^3*g18+e2^3*e14^2*g22,_
x14_17_78b+e7^3*g18+7*e2^3*e14^2*g22,_
x14_17_81a+e14^3*g14-7*e14^3*g19+49*e2^3*g20,_
x14_17_81b+e14^3*g14-7*e14^3*g19+e2^3*g20,_
x14_17_87a+e14^3*g16+7*e2^3*g21,_
x14_17_87b-7*e14^3*g16-e2^3*g21,_
8*x14_18_56-e7^2*g12+7*e1^3*e14*g14-392*e2^2*e14^4*g22,_
x14_18_70-e14^2*g12+49*e7*e14^3*g16+7*e2^3*e7*g18,_
x14_18_104+e1^2*g13-e14^6*g22,_
x14_18_106+e2^2*g13+e1*e14^3*g19,_
7*x14_24_108-e1*e2*e7^3*e14^3*g12+(-e1^4*e2*e7*e14^4+56*e2*e7^5*e14^4)*g14+(-e2^5*e7^4*e14+56*e2*e7^4*e14^5)*g17-7*e2^5*e7^5*g19-7*e1^4*e14^8*g23];