-- eta relations -- g1 := E1^8*E2^6*E4^10-E1^12*E2^8*E8^4-4*E1^4*E2^8*E4^8*E8^4+32*E2^10*E4^6*E8^8-16*E1^12*E8^12-256*E1^4*E4^8*E8^12; g2 := E2^10*E4^8-E1^12*E4^2*E8^4-8*E1^4*E4^10*E8^4-4*E1^8*E2^2*E8^8; g3 := E2^8*E4^10-E1^4*E2^10*E8^4-4*E1^8*E4^2*E8^8-32*E1^4*E2^2*E8^12; g4 := E2^12-E1^8*E4^4-8*E1^4*E2^2*E4^2*E8^4; g5 := E4^12-E1^4*E2^2*E4^2*E8^4-4*E2^4*E8^8; -- Somos eta relations -- q8_12_24 := -E2^12+E1^8*E4^4+8*E4^12-32*E2^4*E8^8; t8_12_24 := -E2^12+E1^8*E4^4+8*E1^4*E2^2*E4^2*E8^4; t8_12_48 := -E4^12+E1^4*E2^2*E4^2*E8^4+4*E2^4*E8^8; q8_18_36 := -E1^4*E2^12*E4^2+E1^12*E4^6+16*E1^4*E4^14-8*E2^14*E8^4; x8_18_36a := -E1^4*E2^12*E4^2+E1^12*E4^6+8*E1^4*E4^14-32*E2^2*E4^12*E8^4+128*E2^6*E8^12; x8_18_36b := -E1^4*E2^12*E4^2+E1^12*E4^6+8*E2^14*E8^4-64*E2^2*E4^12*E8^4+256*E2^6*E8^12; q8_18_52 := -E2^10*E4^8+E1^12*E4^2*E8^4+8*E1^4*E4^10*E8^4+4*E1^8*E2^2*E8^8; q8_18_56 := -E2^8*E4^10+E1^4*E2^10*E8^4+4*E1^8*E4^2*E8^8+32*E1^4*E2^2*E8^12; q8_18_60 := E1^4*E4^14-E2^14*E8^4+4*E2^2*E4^12*E8^4-16*E2^6*E8^12; t8_18_60a := E1^4*E4^14-E2^14*E8^4+4*E1^4*E2^4*E4^2*E8^8; t8_18_60b := -2*E1^4*E4^14+E2^14*E8^4+E1^8*E2^2*E4^4*E8^4; x8_20_40 := -E2^20+E1^8*E2^8*E4^4+8*E2^8*E4^12-32*E1^8*E4^4*E8^8-256*E1^4*E2^2*E4^2*E8^12; x8_20_56 := -E2^12*E4^8+8*E4^20+E1^12*E2^2*E4^2*E8^4+4*E1^8*E2^4*E8^8-32*E2^4*E4^8*E8^8; q8_20_60a := -E2^10*E4^10+E1^4*E2^12*E8^4+4*E1^4*E4^12*E8^4+16*E1^4*E2^4*E8^12; q8_20_60b := -E2^10*E4^10+E1^12*E4^4*E8^4+12*E1^4*E4^12*E8^4-16*E1^4*E2^4*E8^12; q8_20_60c := -2*E2^10*E4^10+E1^4*E2^12*E8^4+E1^12*E4^4*E8^4+16*E1^4*E4^12*E8^4; q8_20_60d := 2*E2^10*E4^10-3*E1^4*E2^12*E8^4+E1^12*E4^4*E8^4-64*E1^4*E2^4*E8^12; q8_20_60e := -E2^10*E4^10+E1^4*E2^12*E8^4+8*E1^4*E4^12*E8^4-4*E1^8*E2^2*E4^2*E8^8; q8_20_60f := -E2^10*E4^10+E1^12*E4^4*E8^4+12*E1^8*E2^2*E4^2*E8^8+32*E1^4*E2^4*E8^12; q8_22_64a := -E2^12*E4^10+E1^8*E4^14+8*E1^8*E2^4*E4^2*E8^8+32*E1^4*E2^6*E8^12; q8_22_64b := E2^12*E4^10+E1^8*E4^14-2*E1^4*E2^14*E8^4-32*E1^4*E2^6*E8^12; q8_22_64c := E2^12*E4^10-3*E1^8*E4^14+2*E1^12*E2^2*E4^4*E8^4-32*E1^4*E2^6*E8^12; q8_22_68a := -E2^10*E4^12+E1^12*E4^6*E8^4+4*E2^14*E8^8+8*E1^8*E2^2*E4^4*E8^8; q8_22_68b := -E2^10*E4^12+E1^12*E4^6*E8^4+12*E2^14*E8^8-64*E1^4*E2^4*E4^2*E8^12; q8_22_68c := -E2^10*E4^12+E1^12*E4^6*E8^4+16*E1^4*E4^14*E8^4-4*E2^14*E8^8; x8_24_48 := -E2^24+E1^8*E2^12*E4^4+8*E1^8*E4^16+32*E2^16*E8^8-256*E1^4*E2^6*E4^2*E8^12; q8_24_48a := -E2^24+E1^8*E2^12*E4^4+16*E1^8*E4^16-8*E1^12*E2^2*E4^6*E8^4; q8_24_48b := -E2^24+E1^8*E2^12*E4^4+8*E1^8*E4^16+32*E1^8*E2^4*E4^4*E8^8; q8_24_48c := -E2^24+E1^16*E4^8+16*E2^12*E4^12-128*E1^4*E2^2*E4^14*E8^4; x8_24_72 := -E1^8*E4^16+8*E4^24+E1^12*E2^2*E4^6*E8^4-4*E2^16*E8^8-32*E2^4*E4^12*E8^8; q8_24_72a := -E2^12*E4^12+E1^8*E4^16+8*E2^16*E8^8-32*E1^4*E2^6*E4^2*E8^12; q8_24_72b := E2^12*E4^12-2*E1^8*E4^16+E1^12*E2^2*E4^6*E8^4-4*E2^16*E8^8; q8_24_72c := -E1^8*E4^16+E1^12*E2^2*E4^6*E8^4+8*E1^4*E2^2*E4^14*E8^4-4*E2^16*E8^8; q8_24_72d := -E1^8*E4^16+E1^4*E2^14*E4^2*E8^4-4*E2^16*E8^8+32*E1^4*E2^6*E4^2*E8^12; q8_24_72e := -E1^8*E4^16+E1^12*E2^2*E4^6*E8^4+4*E2^16*E8^8-32*E1^4*E2^6*E4^2*E8^12; q8_24_72f := -E2^12*E4^12+E1^8*E4^16+4*E2^16*E8^8+4*E1^8*E2^4*E4^4*E8^8; q8_24_72g := -E1^8*E4^16+E1^4*E2^14*E4^2*E8^4-8*E1^4*E2^2*E4^14*E8^4+4*E2^16*E8^8; q8_24_72h := -E2^12*E4^12+4*E4^24+E1^4*E2^14*E4^2*E8^4-64*E2^8*E8^16; q8_24_96a := -2*E4^24+E2^16*E8^8+E1^8*E2^4*E4^4*E8^8+8*E2^4*E4^12*E8^8; q8_24_96b := -E4^24+E2^16*E8^8+4*E2^4*E4^12*E8^8-4*E1^4*E2^6*E4^2*E8^12; q8_26_76 := E1^4*E2^8*E4^14-E2^22*E8^4+4*E1^12*E4^6*E8^8+32*E1^8*E2^2*E4^4*E8^12; q8_26_92 := -2*E1^4*E4^22+E2^14*E4^8*E8^4+E1^12*E2^4*E4^2*E8^8+4*E1^8*E2^6*E8^12; q8_28_80 := E1^4*E2^10*E4^14-E2^24*E8^4+8*E1^8*E4^16*E8^4-4*E1^12*E2^2*E4^6*E8^8; q8_28_100 := -2*E1^4*E4^24+E2^14*E4^10*E8^4+E1^4*E2^16*E8^8-4*E1^8*E2^6*E4^2*E8^12; q8_30_60 := E1^12*E2^12*E4^6-E1^20*E4^10-8*E2^26*E8^4+128*E1^8*E2^2*E4^16*E8^4; q8_30_72 := -2*E2^24*E4^6+32*E1^8*E4^22+E1^12*E2^14*E8^4+E1^20*E2^2*E4^4*E8^4; q8_30_84a := E1^12*E4^18-E2^26*E8^4+12*E1^8*E2^2*E4^16*E8^4+16*E1^8*E2^6*E4^4*E8^12; q8_30_84b := E1^12*E4^18-E2^26*E8^4+8*E1^8*E2^2*E4^16*E8^4+4*E1^4*E2^16*E4^2*E8^8; q8_30_84c := -2*E1^12*E4^18+E2^26*E8^4+E1^8*E2^14*E4^4*E8^4-16*E1^8*E2^2*E4^16*E8^4; q8_30_84d := 2*E1^12*E4^18+E2^26*E8^4-3*E1^8*E2^14*E4^4*E8^4-64*E1^8*E2^6*E4^4*E8^12; q8_30_84e := -2*E1^4*E2^12*E4^14+E1^12*E4^18+E2^26*E8^4+4*E1^12*E2^4*E4^6*E8^8; q8_30_84f := E1^12*E4^18-E2^26*E8^4+8*E1^4*E2^16*E4^2*E8^8+4*E1^12*E2^4*E4^6*E8^8; q8_30_84g := E1^12*E4^18-E2^26*E8^4+16*E1^8*E2^2*E4^16*E8^4-4*E1^12*E2^4*E4^6*E8^8; q8_30_84h := E1^12*E4^18-E2^26*E8^4+12*E1^12*E2^4*E4^6*E8^8+64*E1^8*E2^6*E4^4*E8^12; q8_30_84i := -3*E1^4*E2^12*E4^14+E1^12*E4^18+2*E2^26*E8^4-32*E1^8*E2^6*E4^4*E8^12; q8_30_84j := E1^12*E4^18-E2^26*E8^4+12*E1^4*E2^16*E4^2*E8^8-32*E1^8*E2^6*E4^4*E8^12; q8_30_84k := 32*E1^4*E4^26-E2^26*E8^4+E1^16*E2^2*E4^8*E8^4-16*E2^14*E4^12*E8^4; q8_30_84l := E1^4*E2^12*E4^14+4*E1^4*E4^26-E2^26*E8^4-64*E1^4*E2^8*E4^2*E8^16; q8_30_108a := -2*E1^4*E4^26+E1^8*E2^2*E4^16*E8^4+E1^4*E2^16*E4^2*E8^8+4*E2^18*E8^12; q8_30_108b := -E1^4*E4^26+E1^12*E2^4*E4^6*E8^8+12*E1^4*E2^4*E4^14*E8^8-4*E2^18*E8^12; q8_30_108c := -4*E1^4*E4^26+3*E1^4*E2^16*E4^2*E8^8+E1^12*E2^4*E4^6*E8^8+8*E2^18*E8^12; q8_30_108d := -E1^4*E4^26+E1^4*E2^16*E4^2*E8^8-4*E1^4*E2^4*E4^14*E8^8+4*E2^18*E8^12; q8_30_108e := E1^4*E4^26-E2^14*E4^12*E8^4+2*E2^18*E8^12+2*E1^8*E2^6*E4^4*E8^12; q8_30_108f := E1^4*E4^26-E1^8*E2^2*E4^16*E8^4-2*E2^18*E8^12-2*E1^8*E2^6*E4^4*E8^12; q8_30_108g := -E1^4*E4^26+E1^4*E2^16*E4^2*E8^8+2*E2^18*E8^12-2*E1^8*E2^6*E4^4*E8^12; q8_30_108h := -E1^4*E4^26+E1^12*E2^4*E4^6*E8^8+2*E2^18*E8^12+6*E1^8*E2^6*E4^4*E8^12; q8_30_108i := -4*E1^4*E4^26+3*E2^14*E4^12*E8^4+E1^12*E2^4*E4^6*E8^8-4*E2^18*E8^12; q8_30_108j := 2*E1^4*E4^26-3*E1^8*E2^2*E4^16*E8^4+E1^12*E2^4*E4^6*E8^8-4*E2^18*E8^12; q8_30_108k := -E1^4*E4^26+E1^4*E2^16*E4^2*E8^8+16*E2^6*E4^12*E8^12-64*E2^10*E8^20; q8_30_108l := -E2^6*E4^24+E2^22*E8^8+16*E1^4*E4^14*E8^12+64*E1^4*E2^4*E4^2*E8^20; q8_32_80 := -E2^24*E4^8+E1^16*E4^16+16*E1^8*E2^16*E8^8+256*E1^8*E2^8*E8^16; x8_32_96 := -E2^16*E4^16+E1^16*E2^8*E8^8+16*E1^8*E2^8*E4^8*E8^8+16*E1^16*E8^16+256*E1^8*E4^8*E8^16; q8_32_112 := -E2^8*E4^24+E1^16*E4^8*E8^8+16*E1^8*E4^16*E8^8+16*E2^16*E8^16; q8_34_68 := -E2^34+E1^8*E2^22*E4^4+8*E1^20*E4^10*E8^4+128*E1^12*E4^18*E8^4; x8_34_68a := -E2^34+E1^8*E2^22*E4^4+8*E1^8*E2^10*E4^16+32*E1^12*E4^18*E8^4+128*E1^12*E2^4*E4^6*E8^12; x8_34_68b := -E2^34+E1^8*E2^22*E4^4+8*E1^12*E2^12*E4^6*E8^4+64*E1^12*E4^18*E8^4+256*E1^12*E2^4*E4^6*E8^12; q8_34_136 := -E4^34+4*E2^4*E4^22*E8^8+E1^4*E2^18*E8^12+16*E1^4*E2^10*E8^20; x8_34_136a := -4*E4^34+2*E2^16*E4^10*E8^8+16*E2^4*E4^22*E8^8+E1^4*E2^18*E8^12+E1^12*E2^6*E4^4*E8^12; x8_34_136b := -2*E4^34+8*E2^4*E4^22*E8^8+E1^4*E2^18*E8^12+E1^12*E2^6*E4^4*E8^12+8*E1^4*E2^6*E4^12*E8^12; q8_36_72a := -E2^36+E1^24*E4^12+16*E1^16*E4^20+8*E1^4*E2^26*E4^2*E8^4; q8_36_72b := -E2^36+E1^24*E4^12+16*E1^8*E2^12*E4^16+8*E1^20*E2^2*E4^10*E8^4; q8_36_72c := -E2^36+E1^16*E2^12*E4^8+16*E1^16*E4^20+128*E1^12*E2^2*E4^18*E8^4; q8_36_120a := -2*E1^8*E4^28+E2^28*E8^8+E1^8*E2^16*E4^4*E8^8-8*E1^8*E2^4*E4^16*E8^8; q8_36_120b := E1^8*E4^28-E2^28*E8^8+12*E1^8*E2^4*E4^16*E8^8-4*E1^12*E2^6*E4^6*E8^12; q8_36_120c := -4*E1^8*E4^28+E2^28*E8^8+3*E1^8*E2^16*E4^4*E8^8-8*E1^12*E2^6*E4^6*E8^12; q8_36_120d := E1^8*E4^28-E2^28*E8^8+6*E1^4*E2^18*E4^2*E8^12+2*E1^12*E2^6*E4^6*E8^12; q8_36_120e := -4*E1^8*E4^28+3*E1^12*E2^2*E4^18*E8^4+E2^28*E8^8+4*E1^12*E2^6*E4^6*E8^12; q8_36_120f := -2*E1^8*E4^28+E1^12*E2^2*E4^18*E8^4+E2^28*E8^8-4*E1^4*E2^18*E4^2*E8^12; q8_36_120g := 2*E1^8*E4^28-3*E1^4*E2^14*E4^14*E8^4+E2^28*E8^8+4*E1^12*E2^6*E4^6*E8^12; q8_36_120h := -2*E1^8*E4^28+E2^28*E8^8+E1^16*E2^4*E4^8*E8^8-32*E1^8*E2^8*E4^4*E8^16; q8_36_144a := -E4^36+E1^4*E2^2*E4^26*E8^4+4*E2^20*E8^16+64*E2^12*E8^24; q8_36_144b := -E4^36+E2^16*E4^12*E8^8+16*E1^4*E2^10*E4^2*E8^20+64*E2^12*E8^24; q8_36_144c := -E4^36+E1^4*E2^18*E4^2*E8^12+4*E2^20*E8^16+16*E2^8*E4^12*E8^16; q8_40_104 := -2*E1^4*E2^22*E4^14+E2^36*E8^4+E1^24*E4^12*E8^4+16*E1^16*E4^20*E8^4; q8_40_112 := -E2^24*E4^16+16*E1^8*E4^32+E1^16*E2^16*E8^8+16*E1^16*E2^8*E8^16; q8_40_128 := E2^16*E4^24-E2^32*E8^8-16*E1^16*E4^8*E8^16-256*E1^8*E4^16*E8^16; q8_40_148 := E1^4*E4^36-E2^14*E4^22*E8^4+4*E1^4*E2^20*E8^16+64*E1^4*E2^12*E8^24; q8_42_108a := 24*E1^12*E4^30-E2^38*E8^4+E1^24*E2^2*E4^12*E8^4+128*E1^12*E2^8*E4^6*E8^16; q8_42_108b := -2*E1^20*E4^22-32*E1^12*E4^30+E2^38*E8^4+E1^8*E2^26*E4^4*E8^4; q8_42_108c := -2*E1^20*E4^22+E2^38*E8^4+E1^24*E2^2*E4^12*E8^4-16*E1^8*E2^14*E4^16*E8^4; q8_42_108d := 32*E1^12*E4^30-E2^38*E8^4+E1^16*E2^14*E4^8*E8^4-16*E1^16*E2^2*E4^20*E8^4; q8_42_156a := -4*E1^4*E4^38+3*E2^30*E8^12+E1^16*E2^6*E4^8*E8^12+256*E1^4*E2^12*E4^2*E8^24; q8_42_156b := E1^4*E4^38+4*E1^4*E2^4*E4^26*E8^8-E2^30*E8^12-16*E2^22*E8^20; q8_42_156c := -E1^4*E4^38+E1^4*E2^16*E4^14*E8^8+16*E2^22*E8^20-64*E1^4*E2^12*E4^2*E8^24; q8_42_156d := E1^4*E4^38-E2^30*E8^12+4*E1^4*E2^20*E4^2*E8^16-16*E1^4*E2^8*E4^14*E8^16; q8_48_144a := E1^16*E4^32-E2^40*E8^8+16*E1^8*E2^16*E4^16*E8^8-16*E1^16*E2^8*E4^8*E8^16; q8_48_144b := -E1^16*E4^32+E1^16*E2^16*E4^8*E8^8+16*E2^32*E8^16-256*E1^8*E2^8*E4^16*E8^16; q8_48_144c := E1^16*E4^32+16*E1^8*E4^40-E2^40*E8^8-16*E2^32*E8^16; q8_48_144d := 16*E1^8*E4^40-E2^40*E8^8+E1^16*E2^16*E4^8*E8^8-256*E1^8*E2^8*E4^16*E8^16; q8_48_168 := E1^8*E4^40-E1^8*E2^16*E4^16*E8^8-E2^32*E8^16+E1^16*E2^8*E4^8*E8^16; q8_54_180a := -4*E1^12*E4^42+E2^42*E8^12+3*E1^16*E2^18*E4^8*E8^12-256*E1^12*E2^12*E4^6*E8^24; x8_54_180a := -4*E1^12*E4^42+2*E1^12*E2^16*E4^18*E8^8-16*E1^12*E2^4*E4^30*E8^8+E2^42*E8^12+E1^8*E2^30*E4^4*E8^12; q8_54_180b := -2*E1^12*E4^42+E2^42*E8^12+E1^24*E2^6*E4^12*E8^12-96*E1^12*E2^8*E4^18*E8^16; x8_54_180b := -2*E1^12*E4^42-8*E1^12*E2^4*E4^30*E8^8+E2^42*E8^12+E1^8*E2^30*E4^4*E8^12-8*E1^8*E2^18*E4^16*E8^12; x8_60_120 := E2^60-3*E1^8*E2^48*E4^4+2*E1^16*E2^36*E4^8+2*E1^24*E2^24*E4^12-3*E1^32*E2^12*E4^16+E1^40*E4^20-8192*E1^20*E2^6*E4^22*E8^12; q8_60_168 := 32*E1^16*E4^44-E2^52*E8^8+E1^32*E2^4*E4^16*E8^8+512*E1^16*E2^8*E4^20*E8^16; q8_60_216 := -2*E1^8*E4^52+E2^44*E8^16+E1^16*E2^20*E4^8*E8^16+512*E1^8*E2^16*E4^4*E8^32; x8_60_240 := -E4^60+12*E2^4*E4^48*E8^8-32*E2^8*E4^36*E8^16+E1^12*E2^22*E4^6*E8^20-128*E2^12*E4^24*E8^24+768*E2^16*E4^12*E8^32-1024*E2^20*E8^40; x8_64_192 := -E2^32*E4^32+E1^32*E4^24*E8^8+32*E1^8*E2^24*E4^24*E8^8-240*E1^16*E2^16*E4^16*E8^16+256*E1^24*E2^8*E4^8*E8^24+4096*E1^8*E2^24*E8^32; x8_78_228 := 128*E1^20*E4^58-E2^66*E8^12-3*E1^8*E2^54*E4^4*E8^12-2*E1^16*E2^42*E4^8*E8^12+2*E1^24*E2^30*E4^12*E8^12+3*E1^32*E2^18*E4^16*E8^12+E1^40*E2^6*E4^20*E8^12; x8_78_276 := E1^12*E4^66+12*E1^12*E2^4*E4^54*E8^8+32*E1^12*E2^8*E4^42*E8^16-E2^58*E8^20-128*E1^12*E2^12*E4^30*E8^24-768*E1^12*E2^16*E4^18*E8^32-1024*E1^12*E2^20*E4^6*E8^40; x8_80_224 := E1^32*E4^48-E2^64*E4^8*E8^8+32*E1^24*E2^16*E4^32*E8^8+240*E1^16*E2^32*E4^16*E8^16+256*E1^8*E2^48*E8^24+4096*E1^24*E2^16*E4^8*E8^32; x8_80_280 := -E1^8*E2^8*E4^64+E1^24*E4^48*E8^8+15*E1^16*E2^16*E4^32*E8^16+E1^32*E2^8*E4^16*E8^24+32*E1^8*E2^32*E4^16*E8^24+16*E2^48*E8^32; x8_96_312 := E1^24*E4^72-E1^8*E2^40*E4^40*E8^8+15*E1^16*E2^32*E4^32*E8^16+E2^72*E8^24-32*E1^24*E2^24*E4^24*E8^24+16*E1^32*E2^16*E4^16*E8^32; -- Relation relations -- relationRelations := [_ q8_12_24+g4-8*g5,_ t8_12_24+g4,_ t8_12_48+g5,_ q8_18_36+(E1^4*E4^2+8*E2^2*E8^4)*g4-16*E1^4*E4^2*g5,_ x8_18_36a+E1^4*E4^2*g4+(-8*E1^4*E4^2+32*E2^2*E8^4)*g5,_ x8_18_36b+(E1^4*E4^2-8*E2^2*E8^4)*g4+64*E2^2*E8^4*g5,_ q8_18_52+g2,_ q8_18_56+g3,_ q8_18_60+E2^2*E8^4*g4+(-E1^4*E4^2-4*E2^2*E8^4)*g5,_ t8_18_60a+E2^2*E8^4*g4-E1^4*E4^2*g5,_ t8_18_60b-E2^2*E8^4*g4+2*E1^4*E4^2*g5,_ x8_20_40-8*E4^2*g3+E2^8*g4,_ x8_20_56+E2^2*g2-8*E4^8*g5,_ q8_20_60a+E4^2*g2-E1^4*E8^4*g4+4*E1^4*E8^4*g5,_ q8_20_60b+E4^2*g2-4*E1^4*E8^4*g5,_ q8_20_60c+2*E4^2*g2-E1^4*E8^4*g4,_ q8_20_60d-2*E4^2*g2+3*E1^4*E8^4*g4-16*E1^4*E8^4*g5,_ q8_20_60e+E4^2*g2-E1^4*E8^4*g4,_ q8_20_60f+E4^2*g2+8*E1^4*E8^4*g5,_ q8_22_64a+E2^2*E4^2*g2+(-E1^8*E4^2+8*E1^4*E2^2*E8^4)*g5,_ q8_22_64b-E2^2*E4^2*g2+2*E1^4*E2^2*E8^4*g4+(-E1^8*E4^2-8*E1^4*E2^2*E8^4)*g5,_ q8_22_64c-E2^2*E4^2*g2+(3*E1^8*E4^2-8*E1^4*E2^2*E8^4)*g5,_ q8_22_68a+E4^4*g2-4*E2^2*E8^8*g4+8*E1^4*E4^2*E8^4*g5,_ q8_22_68b+E4^4*g2-12*E2^2*E8^8*g4+8*E1^4*E4^2*E8^4*g5,_ q8_22_68c+E4^4*g2+4*E2^2*E8^8*g4-8*E1^4*E4^2*E8^4*g5,_ x8_24_48+(E2^12+8*E1^4*E2^2*E4^2*E8^4-32*E2^4*E8^8)*g4-8*E1^8*E4^4*g5,_ q8_24_48a+(E2^12+8*E1^4*E2^2*E4^2*E8^4)*g4-16*E1^8*E4^4*g5,_ q8_24_48b+(E2^12+8*E1^4*E2^2*E4^2*E8^4)*g4-8*E1^8*E4^4*g5,_ q8_24_48c-16*E2^2*E4^4*g2+(E2^12+E1^8*E4^4+8*E1^4*E2^2*E4^2*E8^4)*g4,_ x8_24_72+4*E2^4*E8^8*g4+(E1^8*E4^4-8*E4^12-8*E1^4*E2^2*E4^2*E8^4)*g5,_ q8_24_72a+E2^2*E4^4*g2-8*E2^4*E8^8*g4+(-E1^8*E4^4+8*E1^4*E2^2*E4^2*E8^4)*g5,_ q8_24_72b-E2^2*E4^4*g2+4*E2^4*E8^8*g4+(2*E1^8*E4^4-8*E1^4*E2^2*E4^2*E8^4)*g5,_ q8_24_72c+4*E2^4*E8^8*g4+(E1^8*E4^4-8*E1^4*E2^2*E4^2*E8^4)*g5,_ q8_24_72d+(-E1^4*E2^2*E4^2*E8^4+4*E2^4*E8^8)*g4+E1^8*E4^4*g5,_ q8_24_72e-4*E2^4*E8^8*g4+E1^8*E4^4*g5,_ q8_24_72f+E2^2*E4^4*g2-4*E2^4*E8^8*g4+(-E1^8*E4^4+8*E1^4*E2^2*E4^2*E8^4)*g5,_ q8_24_72g+(-E1^4*E2^2*E4^2*E8^4-4*E2^4*E8^8)*g4+(E1^8*E4^4+8*E1^4*E2^2*E4^2*E8^4)*g5,_ q8_24_72h+E2^2*E4^4*g2-E1^4*E2^2*E4^2*E8^4*g4+(-4*E4^12+4*E1^4*E2^2*E4^2*E8^4-16*E2^4*E8^8)*g5,_ q8_24_96a-E2^4*E8^8*g4+(2*E4^12+2*E1^4*E2^2*E4^2*E8^4)*g5,_ q8_24_96b-E2^4*E8^8*g4+(E4^12+E1^4*E2^2*E4^2*E8^4)*g5,_ q8_26_76-E1^4*E4^4*g3+(E2^10*E8^4+8*E1^4*E4^2*E8^8)*g4,_ q8_26_92-E2^4*E8^4*g2+(2*E1^4*E4^10+2*E1^8*E2^2*E8^4)*g5,_ q8_28_80-E1^4*E4^6*g2+(E2^12*E8^4+E1^8*E4^4*E8^4+8*E1^4*E2^2*E4^2*E8^8)*g4-16*E1^8*E4^4*E8^4*g5,_ q8_28_100-E2^4*E4^2*E8^4*g2-E1^4*E2^4*E8^8*g4+(2*E1^4*E4^12+2*E1^8*E2^2*E4^2*E8^4)*g5,_ q8_30_60+(-E1^12*E4^6+8*E2^14*E8^4+8*E1^8*E2^2*E4^4*E8^4+64*E1^4*E2^4*E4^2*E8^8)*g4-128*E1^8*E2^2*E4^4*E8^4*g5,_ q8_30_72+2*E2^6*g1+24*E1^4*E2^4*E8^4*g2+(2*E2^12*E4^6+E1^12*E2^2*E8^4-64*E2^4*E4^6*E8^8)*g4+(-32*E1^8*E4^10-32*E1^12*E2^2*E8^4)*g5,_ q8_30_84a+(E2^14*E8^4+E1^8*E2^2*E4^4*E8^4+8*E1^4*E2^4*E4^2*E8^8)*g4+(-E1^12*E4^6-12*E1^8*E2^2*E4^4*E8^4)*g5,_ q8_30_84b+(E2^14*E8^4+E1^8*E2^2*E4^4*E8^4+4*E1^4*E2^4*E4^2*E8^8)*g4+(-E1^12*E4^6-8*E1^8*E2^2*E4^4*E8^4)*g5,_ q8_30_84c+(-E2^14*E8^4-2*E1^8*E2^2*E4^4*E8^4-8*E1^4*E2^4*E4^2*E8^8)*g4+(2*E1^12*E4^6+16*E1^8*E2^2*E4^4*E8^4)*g5,_ q8_30_84d+(-E2^14*E8^4+2*E1^8*E2^2*E4^4*E8^4-8*E1^4*E2^4*E4^2*E8^8)*g4-2*E1^12*E4^6*g5,_ q8_30_84e+2*E1^4*E2^2*E4^6*g2+(-E2^14*E8^4-E1^8*E2^2*E4^4*E8^4-8*E1^4*E2^4*E4^2*E8^8)*g4+(-E1^12*E4^6+16*E1^8*E2^2*E4^4*E8^4)*g5,_ q8_30_84f+(E2^14*E8^4+E1^8*E2^2*E4^4*E8^4)*g4-E1^12*E4^6*g5,_ q8_30_84g+(E2^14*E8^4+E1^8*E2^2*E4^4*E8^4+8*E1^4*E2^4*E4^2*E8^8)*g4+(-E1^12*E4^6-16*E1^8*E2^2*E4^4*E8^4)*g5,_ 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