Coefficients of X_phi on Y_psi for E6 |E6 E6(a1) D5 E6(a3)(11) E6(a3) A5 D5(a1) A4+A1 D4 A4 D4(a1)(111) D4(a1)(21) D4(a1) A3+A1 2A2+A1 A3 A2+2A1 2A2 A2+A1 A2(11) A2 3A1 2A1 A1 1 _________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ Xphi{1,0} | 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 Xphi{6,1} | 0 1 1 x 1 1 x+1 1 x+1 x^2+1 0 x^2 1 x^2+1 1 x^3+x^2+1 x^3+1 x^4+1 x^4+x^3+1 x^4 x^4+x^3+1 x^4+x^3+1 x^6+x^4+x^3+1 x^7+x^6+x^4+x^3+1 x^10+x^7+x^6+x^4+x^3+1 Xphi{20,2} | 0 0 1 0 1 1 x+1 x+1 x^2+x+1 x^2+x+1 0 x^2 x^2+x+1 2x^2+x+1 x^2+x+1 x^4+x^3+2x^2+x+1 x^4+x^3+x^2+x+1 x^4+x^2+x+1 x^5+2x^4+x^3+x^2+x+1 x^5+x^4 x^6+x^5+2x^4+x^3+x^2+x+1 x^6+x^5+2x^4+x^3+x^2+x+1 x^8+x^7+2x^6+x^5+2x^4+x^3+x^2+x+1 x^10+x^9+2x^8+2x^7+2x^6+x^5+2x^4+x^3+x^2+x+1 x^14+x^13+x^12+x^11+2x^10+x^9+2x^8+2x^7+2x^6+x^5+2x^4+x^3+x^2+x+1 Xphi{15,5} | 0 0 0 1 0 0 1 0 1 x x^3 x 0 x 0 x^4+x^2+x x^2 x^3 x^6+x^3+x^2 x^7+x^6+x^3 x^6+x^3+x^2 x^6+x^3+x^2 x^9+x^8+x^6+x^5+x^3+x^2 x^12+x^10+2x^9+x^8+2x^6+x^5+x^3+x^2 x^16+x^15+x^13+2x^12+x^10+3x^9+x^8+2x^6+x^5+x^3+x^2 Xphi{30,3} | 0 0 0 0 1 1 1 1 1 x^2+1 0 x^2 x^2+1 2x^2+1 x^2+1 x^4+x^3+2x^2+1 x^4+x^3+x^2+1 x^6+x^4+x^2+1 x^6+x^5+2x^4+x^3+x^2+1 x^6+x^5+x^4 2x^6+x^5+2x^4+x^3+x^2+1 2x^6+x^5+2x^4+x^3+x^2+1 x^10+2x^8+x^7+3x^6+x^5+2x^4+x^3+x^2+1 x^12+x^11+2x^10+2x^9+3x^8+2x^7+3x^6+x^5+2x^4+x^3+x^2+1 x^18+x^16+x^15+2x^14+x^13+3x^12+2x^11+3x^10+2x^9+3x^8+2x^7+3x^6+x^5+2x^4+x^3+x^2+1 Xphi{15,4} | 0 0 0 0 0 1 0 1 0 1 0 0 1 x^2+1 x^2+1 x^2+1 x^3+x^2+1 x^4+x^2+1 x^4+x^3+x^2+1 x^4 x^4+x^3+x^2+1 x^6+x^4+x^3+x^2+1 x^8+2x^6+x^4+x^3+x^2+1 x^10+x^9+x^8+x^7+2x^6+x^4+x^3+x^2+1 x^16+x^14+x^13+x^12+2x^10+x^9+x^8+x^7+2x^6+x^4+x^3+x^2+1 Xphi{64,4} | 0 0 0 0 0 0 1 1 x+1 x+1 0 x^2+x x+1 x^2+2x+1 x+1 x^4+2x^3+2x^2+2x+1 x^4+2x^3+x^2+x+1 x^4+x^3+x+1 x^6+x^5+3x^4+3x^3+x^2+x+1 x^7+x^6+x^5+2x^4+x^3 x^7+2x^6+2x^5+3x^4+3x^3+x^2+x+1 x^7+2x^6+2x^5+3x^4+3x^3+x^2+x+1 x^10+2x^9+2x^8+3x^7+4x^6+3x^5+3x^4+3x^3+x^2+x+1 x^13+2x^12+2x^11+4x^10+5x^9+4x^8+5x^7+5x^6+3x^5+3x^4+3x^3+x^2+x+1 x^19+x^18+x^17+3x^16+3x^15+3x^14+5x^13+5x^12+4x^11+6x^10+6x^9+4x^8+5x^7+5x^6+3x^5+3x^4+3x^3+x^2+x+1 Xphi{60,5} | 0 0 0 0 0 0 0 1 0 1 0 0 x+1 x^2+x+1 x^2+x+1 x^3+x^2+x+1 x^4+2x^3+x^2+x+1 x^4+x^2+x+1 x^5+3x^4+2x^3+x^2+x+1 x^5+2x^4 x^6+2x^5+3x^4+2x^3+x^2+x+1 x^7+2x^6+2x^5+3x^4+2x^3+x^2+x+1 x^10+x^9+2x^8+3x^7+4x^6+2x^5+3x^4+2x^3+x^2+x+1 x^13+x^12+2x^11+4x^10+4x^9+4x^8+5x^7+4x^6+2x^5+3x^4+2x^3+x^2+x+1 x^20+x^19+x^18+2x^17+3x^16+2x^15+4x^14+5x^13+4x^12+4x^11+6x^10+4x^9+4x^8+5x^7+4x^6+2x^5+3x^4+2x^3+x^2+x+1 Xphi{24,6} | 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 x^2+1 x^2+1 1 x^3+x^2+1 x^3 x^6+x^4+x^3+x^2+1 x^6+x^4+x^3+x^2+1 x^8+2x^6+x^5+x^4+x^3+x^2+1 x^12+x^10+x^9+2x^8+x^7+3x^6+x^5+x^4+x^3+x^2+1 x^18+x^16+x^15+x^14+x^13+3x^12+x^11+2x^10+2x^9+2x^8+x^7+3x^6+x^5+x^4+x^3+x^2+1 Xphi{81,6} | 0 0 0 0 0 0 0 0 0 1 0 1 1 2 1 x^3+x^2+x+2 x^3+x^2+x+1 x^4+x^2+1 x^5+2x^4+2x^3+2x^2+x+1 x^6+x^5+2x^4+x^3+x^2 x^6+2x^5+3x^4+2x^3+2x^2+x+1 x^6+2x^5+3x^4+2x^3+2x^2+x+1 x^10+x^9+3x^8+2x^7+4x^6+3x^5+4x^4+2x^3+2x^2+x+1 x^13+2x^12+3x^11+4x^10+5x^9+6x^8+5x^7+5x^6+4x^5+4x^4+2x^3+2x^2+x+1 x^20+x^19+2x^18+2x^17+4x^16+4x^15+5x^14+5x^13+7x^12+6x^11+7x^10+6x^9+7x^8+5x^7+5x^6+4x^5+4x^4+2x^3+2x^2+x+1 Xphi{20,10} | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 x 0 0 x^3 x^7+x^4+x^3 x^3 x^3 x^9+x^6+x^5+x^3 x^13+x^12+x^10+2x^9+x^7+2x^6+x^5+x^3 x^19+x^17+2x^16+x^15+3x^13+2x^12+2x^10+3x^9+x^7+2x^6+x^5+x^3 Xphi{90,8} | 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 x^2+x+1 x^2+x x^2 x^5+x^4+x^3+2x^2+x x^6+2x^5+x^4+x^3+x^2 x^6+2x^5+2x^4+x^3+2x^2+x x^6+2x^5+2x^4+x^3+2x^2+x x^10+x^9+3x^8+3x^7+3x^6+3x^5+3x^4+x^3+2x^2+x x^14+x^13+2x^12+4x^11+5x^10+5x^9+7x^8+5x^7+4x^6+4x^5+3x^4+x^3+2x^2+x x^21+2x^20+x^19+3x^18+4x^17+4x^16+5x^15+8x^14+6x^13+7x^12+8x^11+7x^10+6x^9+8x^8+5x^7+4x^6+4x^5+3x^4+x^3+2x^2+x Xphi{80,7} | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 x^2+1 x^3+x^2+1 x^4+1 2x^4+2x^3+x^2+1 2x^4+x^3 x^6+x^5+3x^4+2x^3+x^2+1 2x^6+x^5+3x^4+2x^3+x^2+1 x^10+x^9+3x^8+x^7+5x^6+2x^5+3x^4+2x^3+x^2+1 x^13+3x^12+2x^11+5x^10+5x^9+5x^8+4x^7+6x^6+2x^5+3x^4+2x^3+x^2+1 x^22+x^20+2x^19+3x^18+2x^17+6x^16+4x^15+5x^14+6x^13+8x^12+4x^11+8x^10+6x^9+5x^8+4x^7+6x^6+2x^5+3x^4+2x^3+x^2+1 Xphi{60,8} | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 x^2+x+1 x^2+1 x^3+2x^2+x+1 x^3+x^2 x^4+x^3+2x^2+x+1 x^6+x^5+2x^4+x^3+2x^2+x+1 2x^8+x^7+3x^6+2x^5+3x^4+x^3+2x^2+x+1 x^12+x^11+2x^10+3x^9+5x^8+3x^7+4x^6+3x^5+3x^4+x^3+2x^2+x+1 x^20+x^19+2x^18+x^17+3x^16+3x^15+4x^14+3x^13+6x^12+4x^11+4x^10+4x^9+6x^8+3x^7+4x^6+3x^5+3x^4+x^3+2x^2+x+1 Xphi{10,9} | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 x^4+1 x^6+x^4+1 x^8+x^7+x^6+x^4+1 x^18+x^14+x^12+x^11+x^10+x^8+x^7+x^6+x^4+1 Xphi{81,10} | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 x^2+x+1 x^3+x^2+x x^4+x^3+2x^2+x+1 x^4+x^3+2x^2+x+1 x^8+x^7+2x^6+2x^5+3x^4+2x^3+2x^2+x+1 x^12+x^11+3x^10+3x^9+5x^8+4x^7+5x^6+4x^5+4x^4+2x^3+2x^2+x+1 x^20+x^19+2x^18+2x^17+4x^16+4x^15+5x^14+5x^13+7x^12+6x^11+7x^10+6x^9+7x^8+5x^7+5x^6+4x^5+4x^4+2x^3+2x^2+x+1 Xphi{60,11} | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 x+1 x x^2+x+1 x^4+x^3+x^2+x+1 x^7+2x^6+x^5+2x^4+2x^3+x^2+x+1 2x^10+2x^9+3x^8+4x^7+4x^6+2x^5+3x^4+2x^3+x^2+x+1 x^20+x^19+x^18+2x^17+3x^16+2x^15+4x^14+5x^13+4x^12+4x^11+6x^10+4x^9+4x^8+5x^7+4x^6+2x^5+3x^4+2x^3+x^2+x+1 Xphi{24,12} | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 x^6+x^4+x^2+1 x^9+x^8+x^7+2x^6+x^5+x^4+x^3+x^2+1 x^18+x^16+x^15+x^14+x^13+3x^12+x^11+2x^10+2x^9+2x^8+x^7+3x^6+x^5+x^4+x^3+x^2+1 Xphi{64,13} | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 x+1 x+1 x+1 x^6+x^5+x^4+2x^3+x^2+x+1 x^10+2x^9+2x^8+3x^7+4x^6+3x^5+3x^4+3x^3+x^2+x+1 x^19+x^18+x^17+3x^16+3x^15+3x^14+5x^13+5x^12+4x^11+6x^10+6x^9+4x^8+5x^7+5x^6+3x^5+3x^4+3x^3+x^2+x+1 Xphi{15,17} | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 x^2 x^9+x^6+x^5+x^3+x^2 x^16+x^15+x^13+2x^12+x^10+3x^9+x^8+2x^6+x^5+x^3+x^2 Xphi{30,15} | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 x^4+x^2+1 x^8+x^7+2x^6+x^5+2x^4+x^3+x^2+1 x^18+x^16+x^15+2x^14+x^13+3x^12+2x^11+3x^10+2x^9+3x^8+2x^7+3x^6+x^5+2x^4+x^3+x^2+1 Xphi{15,16} | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 x^2+1 x^6+x^4+x^3+x^2+1 x^16+x^14+x^13+x^12+2x^10+x^9+x^8+x^7+2x^6+x^4+x^3+x^2+1 Xphi{20,20} | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 x^4+x^3+x^2+x+1 x^14+x^13+x^12+x^11+2x^10+x^9+2x^8+2x^7+2x^6+x^5+2x^4+x^3+x^2+x+1 Xphi{6,25} | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 x^10+x^7+x^6+x^4+x^3+1 Xphi{1,36} | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1