"Prop. 6.5(a): c_2(L_a^d) = " 2*k^2 - (8*m^2)/3 + (2*m^4)/3 "Prop. 6.5(b1): c_2(K') = " k + k^2 + m/12 - k*m - m^2/24 - m^3/12 + m^4/24 "Rewrite c_2(L_a^d) as follows:" k*(1 + k - m) + ((-2 + m)*(-1 + m)*m*(1 + m))/24 "Prop. 6.5(b2): c_3(L_a^d) = " -3 - 8*k - 4*k^2 + m/2 - 2*k^2*m - m^2/6 + 2*k*m^2 + 3*m^3 - (2*m^4)/3 - m^5 + m^6/3 "Rewrite c_3(L_a^d) in the form f0(m) + k*f1(k,m):" -2*k*(2 + k - m)*(2 + m) + ((-2 + m)*(9 + 3*m + 2*m^2 - 8*m^3 - 2*m^4 + 2*m^5))/6 "The formula for f0(m) given in the paper:" -((-3 + m)*(-2 + m))/2 + (-2 + m)*(-1 + m)*m*(1 + m) + ((-3 + m)*(-2 + m)*(-1 + m)*m*(1 + m)*(2 + m))/3 "The difference:" 0