-- eta relations --
g1:=e13^14-e1^13*e169-13*e1^11*e13^2*e169-78*e1^9*e13^4*e169-260*e1^7*e13^6*e169-494*e1^5*e13^8*e169-468*e1^3*e13^10*e169-143*e1*e13^12*e169+13*e1^12*e169^2+169*e1^10*e13^2*e169^2+962*e1^8*e13^4*e169^2+2886*e1^6*e13^6*e169^2+4498*e1^4*e13^8*e169^2+2652*e1^2*e13^10*e169^2-91*e1^11*e169^3-1183*e1^9*e13^2*e169^3-6422*e1^7*e13^4*e169^3-17238*e1^5*e13^6*e169^3-21294*e1^3*e13^8*e169^3-6084*e1*e13^10*e169^3+507*e1^10*e169^4+6253*e1^8*e13^2*e169^4+31096*e1^6*e13^4*e169^4+71318*e1^4*e13^6*e169^4+58474*e1^2*e13^8*e169^4-2535*e1^9*e169^5-28561*e1^7*e13^2*e169^5-123032*e1^5*e13^4*e169^5-224094*e1^3*e13^6*e169^5-83486*e1*e13^8*e169^5+10985*e1^8*e169^6+112047*e1^6*e13^2*e169^6+404248*e1^4*e13^4*e169^6+487734*e1^2*e13^6*e169^6-41743*e1^7*e169^7-371293*e1^5*e13^2*e169^7-1085318*e1^3*e13^4*e169^7-571220*e1*e13^6*e169^7+142805*e1^6*e169^8+1056757*e1^4*e13^2*e169^8+2113514*e1^2*e13^4*e169^8-428415*e1^5*e169^9-2599051*e1^3*e13^2*e169^9-2227758*e1*e13^4*e169^9+1113879*e1^4*e169^10+4826809*e1^2*e13^2*e169^10-2599051*e1^3*e169^11-4826809*e1*e13^2*e169^11+4826809*e1^2*e169^12-4826809*e1*e169^13;
-- Somos eta relations --
x169_14_182:=-e13^14+e1^13*e169+13*e1^11*e13^2*e169+78*e1^9*e13^4*e169+260*e1^7*e13^6*e169+494*e1^5*e13^8*e169+468*e1^3*e13^10*e169+143*e1*e13^12*e169-13*e1^12*e169^2-169*e1^10*e13^2*e169^2-962*e1^8*e13^4*e169^2-2886*e1^6*e13^6*e169^2-4498*e1^4*e13^8*e169^2-2652*e1^2*e13^10*e169^2+91*e1^11*e169^3+1183*e1^9*e13^2*e169^3+6422*e1^7*e13^4*e169^3+17238*e1^5*e13^6*e169^3+21294*e1^3*e13^8*e169^3+6084*e1*e13^10*e169^3-507*e1^10*e169^4-6253*e1^8*e13^2*e169^4-31096*e1^6*e13^4*e169^4-71318*e1^4*e13^6*e169^4-58474*e1^2*e13^8*e169^4+2535*e1^9*e169^5+28561*e1^7*e13^2*e169^5+123032*e1^5*e13^4*e169^5+224094*e1^3*e13^6*e169^5+83486*e1*e13^8*e169^5-10985*e1^8*e169^6-112047*e1^6*e13^2*e169^6-404248*e1^4*e13^4*e169^6-487734*e1^2*e13^6*e169^6+41743*e1^7*e169^7+371293*e1^5*e13^2*e169^7+1085318*e1^3*e13^4*e169^7+571220*e1*e13^6*e169^7-142805*e1^6*e169^8-1056757*e1^4*e13^2*e169^8-2113514*e1^2*e13^4*e169^8+428415*e1^5*e169^9+2599051*e1^3*e13^2*e169^9+2227758*e1*e13^4*e169^9-1113879*e1^4*e169^10-4826809*e1^2*e13^2*e169^10+2599051*e1^3*e169^11+4826809*e1*e13^2*e169^11-4826809*e1^2*e169^12+4826809*e1*e169^13;
-- Relation relations --
relationRelations := [_
x169_14_182+g1];