Z6alphabeta=(-(-1+\[Beta]) (-\[Alpha]+\[Beta]) (256-3 \[Alpha]^8+8 \[Alpha]^7 \[Beta]-512 \[Beta]^2+160 \[Beta]^4+64 \[Beta]^6-3 \[Beta]^8-24 \[Alpha]^5 \[Beta] (-8+3 \[Beta]^2)+4 \[Alpha]^6 (16+3 \[Beta]^2)+8 \[Alpha] \[Beta]^3 (-48+24 \[Beta]^2+\[Beta]^4)-8 \[Alpha]^3 \[Beta] (48-16 \[Beta]^2+9 \[Beta]^4)+10 \[Alpha]^4 (16-32 \[Beta]^2+11 \[Beta]^4)+4 \[Alpha]^2 (-128+112 \[Beta]^2-80 \[Beta]^4+3 \[Beta]^6))^2+2 (-1+x) (x-\[Alpha]) (-256+3 \[Alpha]^8+8 \[Alpha]^7 \[Beta]-512 \[Beta]^2+864 \[Beta]^4-128 \[Beta]^6+35 \[Beta]^8-24 \[Alpha]^5 \[Beta] (-8+11 \[Beta]^2)+\[Alpha]^6 (-64+52 \[Beta]^2)-24 \[Alpha]^3 \[Beta] (16-16 \[Beta]^2+3 \[Beta]^4)-8 \[Alpha] \[Beta]^3 (48-56 \[Beta]^2+7 \[Beta]^4)+2 \[Alpha]^4 (-80-128 \[Beta]^2+153 \[Beta]^4)+\[Alpha]^2 (512+64 \[Beta]^2-576 \[Beta]^4-12 \[Beta]^6)+16 x^2 (64+\[Alpha]^6+6 \[Alpha]^5 \[Beta]-16 \[Beta]^2-52 \[Beta]^4+5 \[Beta]^6+\[Alpha]^4 (44-29 \[Beta]^2)+4 \[Alpha]^3 \[Beta] (-4+9 \[Beta]^2)+\[Alpha]^2 (-80+104 \[Beta]^2-9 \[Beta]^4)-2 \[Alpha] \[Beta] (-48+40 \[Beta]^2+5 \[Beta]^4))-16 x (\[Alpha]+\[Beta])^2 (\[Alpha]^5+3 \[Alpha]^4 \[Beta]+\[Alpha]^3 (24-22 \[Beta]^2)-3 \[Alpha] (4-3 \[Beta]^2)^2+\[Alpha]^2 (-40 \[Beta]+38 \[Beta]^3)+\[Beta] (48-56 \[Beta]^2+7 \[Beta]^4)))^2)/(512 (64+\[Alpha]^6+6 \[Alpha]^5 \[Beta]-16 \[Beta]^2-52 \[Beta]^4+5 \[Beta]^6+\[Alpha]^4 (44-29 \[Beta]^2)+4 \[Alpha]^3 \[Beta] (-4+9 \[Beta]^2)+\[Alpha]^2 (-80+104 \[Beta]^2-9 \[Beta]^4)-2 \[Alpha] \[Beta] (-48+40 \[Beta]^2+5 \[Beta]^4))^2);
a6=Coefficient[Z6alphabeta,x,6]
1
a5=Coefficient[Z6alphabeta,x,5]//Simplify
(-64-3 \[Alpha]^7+16 \[Beta]^2-96 \[Beta]^3+52 \[Beta]^4+112 \[Beta]^5-5 \[Beta]^6-14 \[Beta]^7-\[Alpha]^6 (1+16 \[Beta])+\[Alpha]^5 (-92-6 \[Beta]+59 \[Beta]^2)+\[Alpha]^4 (-44+29 \[Beta]^2-30 \[Beta]^3)+\[Alpha]^3 (176+16 \[Beta]-136 \[Beta]^2-36 \[Beta]^3-45 \[Beta]^4)+\[Alpha]^2 (80-104 \[Beta]^2-16 \[Beta]^3+9 \[Beta]^4+28 \[Beta]^5)+\[Alpha] (-64-96 \[Beta]-80 \[Beta]^2+80 \[Beta]^3+132 \[Beta]^4+10 \[Beta]^5+21 \[Beta]^6))/(64+\[Alpha]^6+6 \[Alpha]^5 \[Beta]-16 \[Beta]^2-52 \[Beta]^4+5 \[Beta]^6+\[Alpha]^4 (44-29 \[Beta]^2)+4 \[Alpha]^3 \[Beta] (-4+9 \[Beta]^2)+\[Alpha]^2 (-80+104 \[Beta]^2-9 \[Beta]^4)-2 \[Alpha] \[Beta] (-48+40 \[Beta]^2+5 \[Beta]^4))
(* This term a5 is equal to -6*s *)
a4=Coefficient[Z6alphabeta,x,4]//Simplify
\[Alpha]+(2 (\[Alpha]+\[Beta])^2 (\[Alpha]^5+3 \[Alpha]^4 \[Beta]+\[Alpha]^3 (24-22 \[Beta]^2)-3 \[Alpha] (4-3 \[Beta]^2)^2+\[Alpha]^2 (-40 \[Beta]+38 \[Beta]^3)+\[Beta] (48-56 \[Beta]^2+7 \[Beta]^4)))/(64+\[Alpha]^6+6 \[Alpha]^5 \[Beta]-16 \[Beta]^2-52 \[Beta]^4+5 \[Beta]^6+\[Alpha]^4 (44-29 \[Beta]^2)+4 \[Alpha]^3 \[Beta] (-4+9 \[Beta]^2)+\[Alpha]^2 (-80+104 \[Beta]^2-9 \[Beta]^4)-2 \[Alpha] \[Beta] (-48+40 \[Beta]^2+5 \[Beta]^4))+(2 \[Alpha] (\[Alpha]+\[Beta])^2 (\[Alpha]^5+3 \[Alpha]^4 \[Beta]+\[Alpha]^3 (24-22 \[Beta]^2)-3 \[Alpha] (4-3 \[Beta]^2)^2+\[Alpha]^2 (-40 \[Beta]+38 \[Beta]^3)+\[Beta] (48-56 \[Beta]^2+7 \[Beta]^4)))/(64+\[Alpha]^6+6 \[Alpha]^5 \[Beta]-16 \[Beta]^2-52 \[Beta]^4+5 \[Beta]^6+\[Alpha]^4 (44-29 \[Beta]^2)+4 \[Alpha]^3 \[Beta] (-4+9 \[Beta]^2)+\[Alpha]^2 (-80+104 \[Beta]^2-9 \[Beta]^4)-2 \[Alpha] \[Beta] (-48+40 \[Beta]^2+5 \[Beta]^4))+((\[Alpha]+\[Beta])^4 (\[Alpha]^5+3 \[Alpha]^4 \[Beta]+\[Alpha]^3 (24-22 \[Beta]^2)-3 \[Alpha] (4-3 \[Beta]^2)^2+\[Alpha]^2 (-40 \[Beta]+38 \[Beta]^3)+\[Beta] (48-56 \[Beta]^2+7 \[Beta]^4))^2)/(64+\[Alpha]^6+6 \[Alpha]^5 \[Beta]-16 \[Beta]^2-52 \[Beta]^4+5 \[Beta]^6+\[Alpha]^4 (44-29 \[Beta]^2)+4 \[Alpha]^3 \[Beta] (-4+9 \[Beta]^2)+\[Alpha]^2 (-80+104 \[Beta]^2-9 \[Beta]^4)-2 \[Alpha] \[Beta] (-48+40 \[Beta]^2+5 \[Beta]^4))^2+(-256+3 \[Alpha]^8+8 \[Alpha]^7 \[Beta]-512 \[Beta]^2+864 \[Beta]^4-128 \[Beta]^6+35 \[Beta]^8-24 \[Alpha]^5 \[Beta] (-8+11 \[Beta]^2)+\[Alpha]^6 (-64+52 \[Beta]^2)-24 \[Alpha]^3 \[Beta] (16-16 \[Beta]^2+3 \[Beta]^4)-8 \[Alpha] \[Beta]^3 (48-56 \[Beta]^2+7 \[Beta]^4)+2 \[Alpha]^4 (-80-128 \[Beta]^2+153 \[Beta]^4)+\[Alpha]^2 (512+64 \[Beta]^2-576 \[Beta]^4-12 \[Beta]^6))/(8 (64+\[Alpha]^6+6 \[Alpha]^5 \[Beta]-16 \[Beta]^2-52 \[Beta]^4+5 \[Beta]^6+\[Alpha]^4 (44-29 \[Beta]^2)+4 \[Alpha]^3 \[Beta] (-4+9 \[Beta]^2)+\[Alpha]^2 (-80+104 \[Beta]^2-9 \[Beta]^4)-2 \[Alpha] \[Beta] (-48+40 \[Beta]^2+5 \[Beta]^4)))
a3=Coefficient[Z6alphabeta,x,3]//Simplify
-((16 \[Alpha] (\[Alpha]+\[Beta])^2 (64+\[Alpha]^6+6 \[Alpha]^5 \[Beta]-16 \[Beta]^2-52 \[Beta]^4+5 \[Beta]^6+\[Alpha]^4 (44-29 \[Beta]^2)+4 \[Alpha]^3 \[Beta] (-4+9 \[Beta]^2)+\[Alpha]^2 (-80+104 \[Beta]^2-9 \[Beta]^4)-2 \[Alpha] \[Beta] (-48+40 \[Beta]^2+5 \[Beta]^4)) (\[Alpha]^5+3 \[Alpha]^4 \[Beta]+\[Alpha]^3 (24-22 \[Beta]^2)-3 \[Alpha] (4-3 \[Beta]^2)^2+\[Alpha]^2 (-40 \[Beta]+38 \[Beta]^3)+\[Beta] (48-56 \[Beta]^2+7 \[Beta]^4))+8 (\[Alpha]+\[Beta])^4 (\[Alpha]^5+3 \[Alpha]^4 \[Beta]+\[Alpha]^3 (24-22 \[Beta]^2)-3 \[Alpha] (4-3 \[Beta]^2)^2+\[Alpha]^2 (-40 \[Beta]+38 \[Beta]^3)+\[Beta] (48-56 \[Beta]^2+7 \[Beta]^4))^2+(64+\[Alpha]^6+6 \[Alpha]^5 \[Beta]-16 \[Beta]^2-52 \[Beta]^4+5 \[Beta]^6+\[Alpha]^4 (44-29 \[Beta]^2)+4 \[Alpha]^3 \[Beta] (-4+9 \[Beta]^2)+\[Alpha]^2 (-80+104 \[Beta]^2-9 \[Beta]^4)-2 \[Alpha] \[Beta] (-48+40 \[Beta]^2+5 \[Beta]^4)) (-256+3 \[Alpha]^8+8 \[Alpha]^7 \[Beta]-512 \[Beta]^2+864 \[Beta]^4-128 \[Beta]^6+35 \[Beta]^8-24 \[Alpha]^5 \[Beta] (-8+11 \[Beta]^2)+\[Alpha]^6 (-64+52 \[Beta]^2)-24 \[Alpha]^3 \[Beta] (16-16 \[Beta]^2+3 \[Beta]^4)-8 \[Alpha] \[Beta]^3 (48-56 \[Beta]^2+7 \[Beta]^4)+2 \[Alpha]^4 (-80-128 \[Beta]^2+153 \[Beta]^4)+\[Alpha]^2 (512+64 \[Beta]^2-576 \[Beta]^4-12 \[Beta]^6))+(\[Alpha]+\[Beta])^2 (\[Alpha]^5+3 \[Alpha]^4 \[Beta]+\[Alpha]^3 (24-22 \[Beta]^2)-3 \[Alpha] (4-3 \[Beta]^2)^2+\[Alpha]^2 (-40 \[Beta]+38 \[Beta]^3)+\[Beta] (48-56 \[Beta]^2+7 \[Beta]^4)) (-256+3 \[Alpha]^8+8 \[Alpha]^7 \[Beta]-512 \[Beta]^2+864 \[Beta]^4-128 \[Beta]^6+35 \[Beta]^8-24 \[Alpha]^5 \[Beta] (-8+11 \[Beta]^2)+\[Alpha]^6 (-64+52 \[Beta]^2)-24 \[Alpha]^3 \[Beta] (16-16 \[Beta]^2+3 \[Beta]^4)-8 \[Alpha] \[Beta]^3 (48-56 \[Beta]^2+7 \[Beta]^4)+2 \[Alpha]^4 (-80-128 \[Beta]^2+153 \[Beta]^4)+\[Alpha]^2 (512+64 \[Beta]^2-576 \[Beta]^4-12 \[Beta]^6))+\[Alpha] (8 (\[Alpha]+\[Beta])^4 (\[Alpha]^5+3 \[Alpha]^4 \[Beta]+\[Alpha]^3 (24-22 \[Beta]^2)-3 \[Alpha] (4-3 \[Beta]^2)^2+\[Alpha]^2 (-40 \[Beta]+38 \[Beta]^3)+\[Beta] (48-56 \[Beta]^2+7 \[Beta]^4))^2+(64+\[Alpha]^6+6 \[Alpha]^5 \[Beta]-16 \[Beta]^2-52 \[Beta]^4+5 \[Beta]^6+\[Alpha]^4 (44-29 \[Beta]^2)+4 \[Alpha]^3 \[Beta] (-4+9 \[Beta]^2)+\[Alpha]^2 (-80+104 \[Beta]^2-9 \[Beta]^4)-2 \[Alpha] \[Beta] (-48+40 \[Beta]^2+5 \[Beta]^4)) (-256+3 \[Alpha]^8+8 \[Alpha]^7 \[Beta]-512 \[Beta]^2+864 \[Beta]^4-128 \[Beta]^6+35 \[Beta]^8-24 \[Alpha]^5 \[Beta] (-8+11 \[Beta]^2)+\[Alpha]^6 (-64+52 \[Beta]^2)-24 \[Alpha]^3 \[Beta] (16-16 \[Beta]^2+3 \[Beta]^4)-8 \[Alpha] \[Beta]^3 (48-56 \[Beta]^2+7 \[Beta]^4)+2 \[Alpha]^4 (-80-128 \[Beta]^2+153 \[Beta]^4)+\[Alpha]^2 (512+64 \[Beta]^2-576 \[Beta]^4-12 \[Beta]^6))))/(8 (64+\[Alpha]^6+6 \[Alpha]^5 \[Beta]-16 \[Beta]^2-52 \[Beta]^4+5 \[Beta]^6+\[Alpha]^4 (44-29 \[Beta]^2)+4 \[Alpha]^3 \[Beta] (-4+9 \[Beta]^2)+\[Alpha]^2 (-80+104 \[Beta]^2-9 \[Beta]^4)-2 \[Alpha] \[Beta] (-48+40 \[Beta]^2+5 \[Beta]^4))^2))
a2=Coefficient[Z6alphabeta,x,2]//Simplify
(32 (\[Alpha]+\[Beta])^2 (\[Alpha]^5+3 \[Alpha]^4 \[Beta]+\[Alpha]^3 (24-22 \[Beta]^2)-3 \[Alpha] (4-3 \[Beta]^2)^2+\[Alpha]^2 (-40 \[Beta]+38 \[Beta]^3)+\[Beta] (48-56 \[Beta]^2+7 \[Beta]^4)) (-256+3 \[Alpha]^8+8 \[Alpha]^7 \[Beta]-512 \[Beta]^2+864 \[Beta]^4-128 \[Beta]^6+35 \[Beta]^8-24 \[Alpha]^5 \[Beta] (-8+11 \[Beta]^2)+\[Alpha]^6 (-64+52 \[Beta]^2)-24 \[Alpha]^3 \[Beta] (16-16 \[Beta]^2+3 \[Beta]^4)-8 \[Alpha] \[Beta]^3 (48-56 \[Beta]^2+7 \[Beta]^4)+2 \[Alpha]^4 (-80-128 \[Beta]^2+153 \[Beta]^4)+\[Alpha]^2 (512+64 \[Beta]^2-576 \[Beta]^4-12 \[Beta]^6))+32 \[Alpha] (\[Alpha]+\[Beta])^2 (\[Alpha]^5+3 \[Alpha]^4 \[Beta]+\[Alpha]^3 (24-22 \[Beta]^2)-3 \[Alpha] (4-3 \[Beta]^2)^2+\[Alpha]^2 (-40 \[Beta]+38 \[Beta]^3)+\[Beta] (48-56 \[Beta]^2+7 \[Beta]^4)) (-256+3 \[Alpha]^8+8 \[Alpha]^7 \[Beta]-512 \[Beta]^2+864 \[Beta]^4-128 \[Beta]^6+35 \[Beta]^8-24 \[Alpha]^5 \[Beta] (-8+11 \[Beta]^2)+\[Alpha]^6 (-64+52 \[Beta]^2)-24 \[Alpha]^3 \[Beta] (16-16 \[Beta]^2+3 \[Beta]^4)-8 \[Alpha] \[Beta]^3 (48-56 \[Beta]^2+7 \[Beta]^4)+2 \[Alpha]^4 (-80-128 \[Beta]^2+153 \[Beta]^4)+\[Alpha]^2 (512+64 \[Beta]^2-576 \[Beta]^4-12 \[Beta]^6))+(-256+3 \[Alpha]^8+8 \[Alpha]^7 \[Beta]-512 \[Beta]^2+864 \[Beta]^4-128 \[Beta]^6+35 \[Beta]^8-24 \[Alpha]^5 \[Beta] (-8+11 \[Beta]^2)+\[Alpha]^6 (-64+52 \[Beta]^2)-24 \[Alpha]^3 \[Beta] (16-16 \[Beta]^2+3 \[Beta]^4)-8 \[Alpha] \[Beta]^3 (48-56 \[Beta]^2+7 \[Beta]^4)+2 \[Alpha]^4 (-80-128 \[Beta]^2+153 \[Beta]^4)+\[Alpha]^2 (512+64 \[Beta]^2-576 \[Beta]^4-12 \[Beta]^6))^2+32 \[Alpha] (8 (\[Alpha]+\[Beta])^4 (\[Alpha]^5+3 \[Alpha]^4 \[Beta]+\[Alpha]^3 (24-22 \[Beta]^2)-3 \[Alpha] (4-3 \[Beta]^2)^2+\[Alpha]^2 (-40 \[Beta]+38 \[Beta]^3)+\[Beta] (48-56 \[Beta]^2+7 \[Beta]^4))^2+(64+\[Alpha]^6+6 \[Alpha]^5 \[Beta]-16 \[Beta]^2-52 \[Beta]^4+5 \[Beta]^6+\[Alpha]^4 (44-29 \[Beta]^2)+4 \[Alpha]^3 \[Beta] (-4+9 \[Beta]^2)+\[Alpha]^2 (-80+104 \[Beta]^2-9 \[Beta]^4)-2 \[Alpha] \[Beta] (-48+40 \[Beta]^2+5 \[Beta]^4)) (-256+3 \[Alpha]^8+8 \[Alpha]^7 \[Beta]-512 \[Beta]^2+864 \[Beta]^4-128 \[Beta]^6+35 \[Beta]^8-24 \[Alpha]^5 \[Beta] (-8+11 \[Beta]^2)+\[Alpha]^6 (-64+52 \[Beta]^2)-24 \[Alpha]^3 \[Beta] (16-16 \[Beta]^2+3 \[Beta]^4)-8 \[Alpha] \[Beta]^3 (48-56 \[Beta]^2+7 \[Beta]^4)+2 \[Alpha]^4 (-80-128 \[Beta]^2+153 \[Beta]^4)+\[Alpha]^2 (512+64 \[Beta]^2-576 \[Beta]^4-12 \[Beta]^6))))/(256 (64+\[Alpha]^6+6 \[Alpha]^5 \[Beta]-16 \[Beta]^2-52 \[Beta]^4+5 \[Beta]^6+\[Alpha]^4 (44-29 \[Beta]^2)+4 \[Alpha]^3 \[Beta] (-4+9 \[Beta]^2)+\[Alpha]^2 (-80+104 \[Beta]^2-9 \[Beta]^4)-2 \[Alpha] \[Beta] (-48+40 \[Beta]^2+5 \[Beta]^4))^2)
a1=Coefficient[Z6alphabeta,x,1]//Simplify
((-256+3 \[Alpha]^8+8 \[Alpha]^7 \[Beta]-512 \[Beta]^2+864 \[Beta]^4-128 \[Beta]^6+35 \[Beta]^8-24 \[Alpha]^5 \[Beta] (-8+11 \[Beta]^2)+\[Alpha]^6 (-64+52 \[Beta]^2)-24 \[Alpha]^3 \[Beta] (16-16 \[Beta]^2+3 \[Beta]^4)-8 \[Alpha] \[Beta]^3 (48-56 \[Beta]^2+7 \[Beta]^4)+2 \[Alpha]^4 (-80-128 \[Beta]^2+153 \[Beta]^4)+\[Alpha]^2 (512+64 \[Beta]^2-576 \[Beta]^4-12 \[Beta]^6)) (256-3 \[Alpha]^9+512 \[Beta]^2-864 \[Beta]^4+128 \[Beta]^6-35 \[Beta]^8-\[Alpha]^8 (35+8 \[Beta])-4 \[Alpha]^7 (-16+42 \[Beta]+13 \[Beta]^2)+4 \[Alpha]^6 (-176-48 \[Beta]+107 \[Beta]^2+66 \[Beta]^3)+\[Alpha]^5 (160-448 \[Beta]+256 \[Beta]^2+360 \[Beta]^3-306 \[Beta]^4)+2 \[Alpha]^4 (848+192 \[Beta]-128 \[Beta]^2-192 \[Beta]^3-585 \[Beta]^4+36 \[Beta]^5)+4 \[Alpha]^3 (-128+480 \[Beta]-16 \[Beta]^2-480 \[Beta]^3+144 \[Beta]^4+90 \[Beta]^5+3 \[Beta]^6)+4 \[Alpha]^2 (-128-400 \[Beta]^2+96 \[Beta]^3+464 \[Beta]^4-112 \[Beta]^5+107 \[Beta]^6+14 \[Beta]^7)+\[Alpha] (256+512 \[Beta]^2-1152 \[Beta]^3-864 \[Beta]^4+1344 \[Beta]^5+128 \[Beta]^6-168 \[Beta]^7-35 \[Beta]^8)))/(256 (64+\[Alpha]^6+6 \[Alpha]^5 \[Beta]-16 \[Beta]^2-52 \[Beta]^4+5 \[Beta]^6+\[Alpha]^4 (44-29 \[Beta]^2)+4 \[Alpha]^3 \[Beta] (-4+9 \[Beta]^2)+\[Alpha]^2 (-80+104 \[Beta]^2-9 \[Beta]^4)-2 \[Alpha] \[Beta] (-48+40 \[Beta]^2+5 \[Beta]^4))^2)
a0=Coefficient[Z6alphabeta,x,0]//Simplify
(2 \[Alpha] (-256+3 \[Alpha]^8+8 \[Alpha]^7 \[Beta]-512 \[Beta]^2+864 \[Beta]^4-128 \[Beta]^6+35 \[Beta]^8-24 \[Alpha]^5 \[Beta] (-8+11 \[Beta]^2)+\[Alpha]^6 (-64+52 \[Beta]^2)-24 \[Alpha]^3 \[Beta] (16-16 \[Beta]^2+3 \[Beta]^4)-8 \[Alpha] \[Beta]^3 (48-56 \[Beta]^2+7 \[Beta]^4)+2 \[Alpha]^4 (-80-128 \[Beta]^2+153 \[Beta]^4)+\[Alpha]^2 (512+64 \[Beta]^2-576 \[Beta]^4-12 \[Beta]^6))^2+(1-\[Beta]) (-\[Alpha]+\[Beta]) (256-3 \[Alpha]^8+8 \[Alpha]^7 \[Beta]-512 \[Beta]^2+160 \[Beta]^4+64 \[Beta]^6-3 \[Beta]^8-24 \[Alpha]^5 \[Beta] (-8+3 \[Beta]^2)+4 \[Alpha]^6 (16+3 \[Beta]^2)+8 \[Alpha] \[Beta]^3 (-48+24 \[Beta]^2+\[Beta]^4)-8 \[Alpha]^3 \[Beta] (48-16 \[Beta]^2+9 \[Beta]^4)+10 \[Alpha]^4 (16-32 \[Beta]^2+11 \[Beta]^4)+4 \[Alpha]^2 (-128+112 \[Beta]^2-80 \[Beta]^4+3 \[Beta]^6))^2)/(512 (64+\[Alpha]^6+6 \[Alpha]^5 \[Beta]-16 \[Beta]^2-52 \[Beta]^4+5 \[Beta]^6+\[Alpha]^4 (44-29 \[Beta]^2)+4 \[Alpha]^3 \[Beta] (-4+9 \[Beta]^2)+\[Alpha]^2 (-80+104 \[Beta]^2-9 \[Beta]^4)-2 \[Alpha] \[Beta] (-48+40 \[Beta]^2+5 \[Beta]^4))^2)
S6alphabeta[x_]=(a0+a1 x+a2 x^2+a3 x^3+a4 x^4+a5 x^5+a6 x^6)