R5alphabeta[x_]=x^5+(-5*s)*x^4+a3*x^3+a2*x^2+a1*x+a0;
a0=1/32 (11 \[Alpha]^3 (1+\[Beta]^2)-\[Beta] (-1+\[Beta]^2) (-4+200 s^2-100 s \[Beta]+11 \[Beta]^2)+\[Alpha] (-4-40 s \[Beta]+\[Beta]^2-15 \[Beta]^4+200 s^2 (1+\[Beta]^2))-5 \[Alpha]^2 (20 s (1+\[Beta]^2)-\[Beta] (1+3 \[Beta]^2)));
a1=1/16 (4-200 s^2+5 \[Alpha]^2-10 \[Alpha] \[Beta]+5 \[Beta]^2+20 s (\[Alpha]+\[Beta]));
a2=1/16 (-200 s^2 \[Alpha]+20 s (4+5 \[Alpha]^2+\[Alpha] \[Beta])+\[Alpha] (4-11 \[Alpha]^2-10 \[Alpha] \[Beta]+5 \[Beta]^2));
a3=5/16 (-4+40 s^2-\[Alpha]^2+2 \[Alpha] \[Beta]-\[Beta]^2-4 s (\[Alpha]+\[Beta]));
a4=-5 s;
a5=1;