Hi
i need to find equation of intersection between a plane(Z=0)  and 3d curve like below:

plane :  Z=0

curve:

sqrt(G*(2-G))+(1-G)*(arccos(G-1)+(1/5)*Pi)+k*sqrt(G*(2-G))*cos(sqrt((1+k)/k)*arccos(G-1)+(1/5)*Pi)+sqrt(k/(1+k))*(1-G)*k*sin(sqrt((1+k)/k)*arccos(G-1)+(1/5)*Pi)

I ploted Z=0 plane and that curve . it is like this .
i want equation of the pointed curve(curve equation of intersection between Z=  and curve )in bellow  such as k=f(G) .

best regards

## looking for the coefficients of "A and B"

restart;

t1:=[(-(0.3536776512e-1*(2.999999999*exp(-.1111111111*omega*(2.*cos(theta)+9.))+2.999999999*exp(-.1111111111*omega*(2.*cos(theta)-9.))-2.999999999*exp(-(1/9)*omega*(2*cos(theta)-27))-2.999999999*exp(-.1111111111*omega*(2.*cos(theta)+27.))-2.999999999*exp((1/9)*omega*(2*cos(theta)+27))+2.999999999*exp(.1111111111*omega*(2.*cos(theta)+9.))-2.999999999*exp(.1111111111*omega*(2.*cos(theta)-27.))+2.999999999*exp(.1111111111*omega*(2.*cos(theta)-9.))+2.999999999*exp(.1111111111*omega*(2.*cos(theta)-27.))*omega-2.999999999*exp((1/9)*omega*(2*cos(theta)+27))*omega-9.*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega+9.*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega+12.*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega^2+12.*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega^2-2.999999999*exp(-(1/9)*omega*(2*cos(theta)-27))*omega+9.*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega-9.*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega+12.*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^2+12.*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega^2+2.999999999*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega+.6666666665*exp(.1111111111*omega*(2.*cos(theta)-27.))*omega*cos(theta)+.6666666665*exp((1/9)*omega*(2*cos(theta)+27))*omega*cos(theta)+2.666666667*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega^2*cos(theta)-2.666666667*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega^2*cos(theta)-.6666666665*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega*cos(theta)-.6666666665*exp(-(1/9)*omega*(2*cos(theta)-27))*omega*cos(theta)+.6666666665*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega*cos(theta)+.6666666665*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega*cos(theta)-.6666666665*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega*cos(theta)-2.666666667*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^2*cos(theta)+2.666666667*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega^2*cos(theta)-.6666666665*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega*cos(theta)))*cos((2/9)*omega*sin(theta))/(-16.*omega^2+exp(4*omega)-2.+exp(-4.*omega)))*A-(0.3536776512e-1*(1.570796327*exp(.2222222222*omega*(cos(theta)-9.))-1.570796327*exp(.2222222222*omega*(cos(theta)-18.))-1.570796327*exp(-.2222222222*omega*(cos(theta)-9.))+1.570796327*exp(-(2/9)*omega*cos(theta))+1.570796327*exp((2/9)*omega*cos(theta))-1.570796327*exp(.2222222222*omega*(cos(theta)+9.))+1.570796327*exp(-.2222222222*omega*(cos(theta)+9.))-1.570796327*exp(-.2222222222*omega*(cos(theta)+18.))+4.712388980*exp(-(2/9)*omega*cos(theta))*omega-6.283185307*exp(-(2/9)*omega*cos(theta))*omega^3+4.712388980*exp(-(2/9)*omega*cos(theta))*omega^2+4.712388980*exp((2/9)*omega*cos(theta))*omega-6.283185307*exp((2/9)*omega*cos(theta))*omega^3+4.712388980*exp((2/9)*omega*cos(theta))*omega^2+1.570796327*exp(.2222222222*omega*(cos(theta)-18.))*omega^2+4.712388980*exp(.2222222222*omega*(cos(theta)-9.))*omega^2+1.570796327*exp(.1111111111*omega*(2.*cos(theta)+9.))*sinh(omega)+1.570796327*exp(.1111111111*omega*(2.*cos(theta)-9.))*sinh(omega)-1.570796327*exp(.1111111111*omega*(2.*cos(theta)-27.))*sinh(omega)-1.570796327*exp((1/9)*omega*(2*cos(theta)+27))*sinh(omega)+1.570796327*exp(.2222222222*omega*(cos(theta)-18.))*omega+1.570796327*exp(.2222222222*omega*(cos(theta)+9.))*omega^2+6.283185307*exp(.2222222222*omega*(cos(theta)-9.))*omega^3-1.570796327*exp(.2222222222*omega*(cos(theta)+9.))*omega-4.712388980*exp(.2222222222*omega*(cos(theta)-9.))*omega-1.570796327*exp(-.2222222222*omega*(cos(theta)-9.))*omega-4.712388980*exp(-.2222222222*omega*(cos(theta)+9.))*omega+4.712388980*exp(-.2222222222*omega*(cos(theta)+9.))*omega^2-1.570796327*exp(-(1/9)*omega*(2*cos(theta)-27))*sinh(omega)+1.570796327*exp(-.2222222222*omega*(cos(theta)+18.))*omega+1.570796327*exp(-.1111111111*omega*(2.*cos(theta)-9.))*sinh(omega)+1.570796327*exp(-.2222222222*omega*(cos(theta)-9.))*omega^2+6.283185307*exp(-.2222222222*omega*(cos(theta)+9.))*omega^3-1.570796327*exp(-.1111111111*omega*(2.*cos(theta)+27.))*sinh(omega)+1.570796327*exp(-.1111111111*omega*(2.*cos(theta)+9.))*sinh(omega)+1.570796327*exp(-.2222222222*omega*(cos(theta)+18.))*omega^2+.3490658504*exp(.1111111111*omega*(2.*cos(theta)-27.))*omega^2*cos(theta)*csgn(omega)*sinh(omega)-1.396263401*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega^3*cos(theta)*csgn(omega)*sinh(omega)+1.396263401*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega^3*cos(theta)*csgn(omega)*sinh(omega)-.3490658504*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega^2*cos(theta)*csgn(omega)*sinh(omega)-.3490658504*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega^2*cos(theta)*csgn(omega)*sinh(omega)+1.396263401*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega^2*cos(theta)*csgn(omega)*cosh(omega)-1.396263401*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega^2*cos(theta)*csgn(omega)*cosh(omega)+.3490658504*exp((1/9)*omega*(2*cos(theta)+27))*omega^2*cos(theta)*csgn(omega)*sinh(omega)-.3490658504*exp((1/9)*omega*(2*cos(theta)+27))*omega*cos(theta)*csgn(omega)*cosh(omega)-.3490658504*exp(.1111111111*omega*(2.*cos(theta)-27.))*omega*cos(theta)*csgn(omega)*cosh(omega)+.3490658504*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega*cos(theta)*csgn(omega)*cosh(omega)+.3490658504*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega*cos(theta)*csgn(omega)*cosh(omega)-1.396263401*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega^2*cos(theta)*csgn(omega)*cosh(omega)+1.396263401*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^2*cos(theta)*csgn(omega)*cosh(omega)-.3490658504*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega^2*cos(theta)*csgn(omega)*sinh(omega)+1.396263401*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega^3*cos(theta)*csgn(omega)*sinh(omega)-1.396263401*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^3*cos(theta)*csgn(omega)*sinh(omega)+.3490658504*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega^2*cos(theta)*csgn(omega)*sinh(omega)+.3490658504*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^2*cos(theta)*csgn(omega)*sinh(omega)-.3490658504*exp(-(1/9)*omega*(2*cos(theta)-27))*omega^2*cos(theta)*csgn(omega)*sinh(omega)+.3490658504*exp(-(1/9)*omega*(2*cos(theta)-27))*omega*cos(theta)*csgn(omega)*cosh(omega)+.3490658504*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega*cos(theta)*csgn(omega)*cosh(omega)-.3490658504*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega*cos(theta)*csgn(omega)*cosh(omega)-.3490658504*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega*cos(theta)*csgn(omega)*cosh(omega)+.3490658504*exp((1/9)*omega*(2*cos(theta)+27))*omega*cos(theta)*sinh(omega)-.3490658504*exp((1/9)*omega*(2*cos(theta)+27))*omega^2*cos(theta)*cosh(omega)+1.396263401*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega^3*cos(theta)*cosh(omega)-1.396263401*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega^3*cos(theta)*cosh(omega)-.3490658504*exp(.1111111111*omega*(2.*cos(theta)-27.))*omega^2*cos(theta)*cosh(omega)-1.396263401*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega^2*cos(theta)*sinh(omega)+1.396263401*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega^2*cos(theta)*sinh(omega)+.3490658504*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega^2*cos(theta)*cosh(omega)+.3490658504*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega^2*cos(theta)*cosh(omega)+1.570796327*exp((1/9)*omega*(2*cos(theta)+27))*csgn(omega)*cosh(omega)*omega-1.570796327*exp(-.1111111111*omega*(2.*cos(theta)+27.))*csgn(omega)*sinh(omega)*omega+4.712388980*exp(-.1111111111*omega*(2.*cos(theta)-9.))*csgn(omega)*sinh(omega)*omega^2-4.712388980*exp(-.1111111111*omega*(2.*cos(theta)+9.))*csgn(omega)*sinh(omega)*omega^2+1.570796327*exp(-.1111111111*omega*(2.*cos(theta)-9.))*csgn(omega)*sinh(omega)*omega+1.570796327*exp(-.1111111111*omega*(2.*cos(theta)+9.))*csgn(omega)*sinh(omega)*omega-4.712388980*exp(-.1111111111*omega*(2.*cos(theta)-9.))*csgn(omega)*cosh(omega)*omega+4.712388980*exp(-.1111111111*omega*(2.*cos(theta)+9.))*csgn(omega)*cosh(omega)*omega-1.570796327*exp(-(1/9)*omega*(2*cos(theta)-27))*csgn(omega)*sinh(omega)*omega-.3490658504*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega*cos(theta)*sinh(omega)+.3490658504*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega*cos(theta)*sinh(omega)+.3490658504*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega*cos(theta)*sinh(omega)-.3490658504*exp(-(1/9)*omega*(2*cos(theta)-27))*omega*cos(theta)*sinh(omega)+6.283185307*exp(-.1111111111*omega*(2.*cos(theta)+9.))*csgn(omega)*sinh(omega)*omega^3-1.570796327*exp(.1111111111*omega*(2.*cos(theta)-27.))*csgn(omega)*cosh(omega)*omega+1.570796327*exp(.1111111111*omega*(2.*cos(theta)-27.))*csgn(omega)*sinh(omega)*omega^2+6.283185307*exp(.1111111111*omega*(2.*cos(theta)+9.))*csgn(omega)*sinh(omega)*omega^3+6.283185307*exp(.1111111111*omega*(2.*cos(theta)-9.))*csgn(omega)*sinh(omega)*omega^3-6.283185307*exp(.1111111111*omega*(2.*cos(theta)+9.))*csgn(omega)*cosh(omega)*omega^2-6.283185307*exp(.1111111111*omega*(2.*cos(theta)-9.))*csgn(omega)*cosh(omega)*omega^2-1.570796327*exp((1/9)*omega*(2*cos(theta)+27))*csgn(omega)*sinh(omega)*omega^2-.3490658504*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega*cos(theta)*sinh(omega)-.3490658504*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega*cos(theta)*sinh(omega)-1.570796327*exp((1/9)*omega*(2*cos(theta)+27))*csgn(omega)*sinh(omega)*omega+.3490658504*exp(.1111111111*omega*(2.*cos(theta)-27.))*omega*cos(theta)*sinh(omega)-6.283185307*exp(-.1111111111*omega*(2.*cos(theta)-9.))*csgn(omega)*cosh(omega)*omega^2-6.283185307*exp(-.1111111111*omega*(2.*cos(theta)+9.))*csgn(omega)*cosh(omega)*omega^2-1.570796327*exp(-(1/9)*omega*(2*cos(theta)-27))*csgn(omega)*sinh(omega)*omega^2+1.570796327*exp(-(1/9)*omega*(2*cos(theta)-27))*csgn(omega)*cosh(omega)*omega-1.570796327*exp(.1111111111*omega*(2.*cos(theta)-27.))*csgn(omega)*sinh(omega)*omega+4.712388980*exp(.1111111111*omega*(2.*cos(theta)+9.))*csgn(omega)*sinh(omega)*omega^2-4.712388980*exp(.1111111111*omega*(2.*cos(theta)-9.))*csgn(omega)*sinh(omega)*omega^2+1.570796327*exp(.1111111111*omega*(2.*cos(theta)+9.))*csgn(omega)*sinh(omega)*omega+1.570796327*exp(.1111111111*omega*(2.*cos(theta)-9.))*csgn(omega)*sinh(omega)*omega-4.712388980*exp(.1111111111*omega*(2.*cos(theta)+9.))*csgn(omega)*cosh(omega)*omega+4.712388980*exp(.1111111111*omega*(2.*cos(theta)-9.))*csgn(omega)*cosh(omega)*omega+.3490658504*exp(-(1/9)*omega*(2*cos(theta)-27))*omega^2*cos(theta)*cosh(omega)+.3490658504*exp(-(2/9)*omega*cos(theta))*omega*cos(theta)+1.745329252*exp(-(2/9)*omega*cos(theta))*omega^2*cos(theta)-1.396263401*exp(-(2/9)*omega*cos(theta))*omega^3*cos(theta)-.3490658504*exp((2/9)*omega*cos(theta))*omega*cos(theta)-1.745329252*exp((2/9)*omega*cos(theta))*omega^2*cos(theta)+1.396263401*exp((2/9)*omega*cos(theta))*omega^3*cos(theta)-6.283185307*exp(.1111111111*omega*(2.*cos(theta)-9.))*cosh(omega)*omega^3-.3490658504*exp(.2222222222*omega*(cos(theta)+9.))*omega^2*cos(theta)+1.745329252*exp(.2222222222*omega*(cos(theta)-9.))*omega^2*cos(theta)-.3490658504*exp(-.2222222222*omega*(cos(theta)+18.))*omega*cos(theta)+1.570796327*exp(-(1/9)*omega*(2*cos(theta)-27))*csgn(omega)*cosh(omega)-6.283185307*exp(.1111111111*omega*(2.*cos(theta)+9.))*cosh(omega)*omega^3+6.283185307*exp(.1111111111*omega*(2.*cos(theta)-9.))*sinh(omega)*omega^2-1.570796327*exp((1/9)*omega*(2*cos(theta)+27))*sinh(omega)*omega-1.570796327*exp(.1111111111*omega*(2.*cos(theta)-27.))*cosh(omega)*omega^2+1.570796327*exp((1/9)*omega*(2*cos(theta)+27))*cosh(omega)*omega^2+1.570796327*exp(.1111111111*omega*(2.*cos(theta)-27.))*sinh(omega)*omega+6.283185307*exp(.1111111111*omega*(2.*cos(theta)+9.))*sinh(omega)*omega^2-1.570796327*exp(-.1111111111*omega*(2.*cos(theta)-9.))*cosh(omega)*omega-1.570796327*exp(-.1111111111*omega*(2.*cos(theta)+9.))*cosh(omega)*omega+.3490658504*exp(.2222222222*omega*(cos(theta)-18.))*omega^2*cos(theta)+1.396263401*exp(.2222222222*omega*(cos(theta)-9.))*omega^3*cos(theta)+.3490658504*exp(.2222222222*omega*(cos(theta)+9.))*omega*cos(theta)-.3490658504*exp(.2222222222*omega*(cos(theta)-9.))*omega*cos(theta)+1.570796327*exp(-(1/9)*omega*(2*cos(theta)-27))*cosh(omega)*omega-4.712388980*exp(-.1111111111*omega*(2.*cos(theta)-9.))*cosh(omega)*omega^2+4.712388980*exp(-.1111111111*omega*(2.*cos(theta)+9.))*cosh(omega)*omega^2+1.570796327*exp(-.1111111111*omega*(2.*cos(theta)+27.))*csgn(omega)*cosh(omega)+1.570796327*exp(-.1111111111*omega*(2.*cos(theta)+27.))*cosh(omega)*omega-1.570796327*exp(-.1111111111*omega*(2.*cos(theta)-9.))*csgn(omega)*cosh(omega)-1.570796327*exp(-.1111111111*omega*(2.*cos(theta)+9.))*csgn(omega)*cosh(omega)+4.712388980*exp(-.1111111111*omega*(2.*cos(theta)-9.))*sinh(omega)*omega-4.712388980*exp(-.1111111111*omega*(2.*cos(theta)+9.))*sinh(omega)*omega+1.570796327*exp((1/9)*omega*(2*cos(theta)+27))*cosh(omega)*omega-4.712388980*exp(.1111111111*omega*(2.*cos(theta)+9.))*cosh(omega)*omega^2+4.712388980*exp(.1111111111*omega*(2.*cos(theta)-9.))*cosh(omega)*omega^2+1.570796327*exp(.1111111111*omega*(2.*cos(theta)-27.))*csgn(omega)*cosh(omega)+1.570796327*exp(.1111111111*omega*(2.*cos(theta)-27.))*cosh(omega)*omega-1.570796327*exp(.1111111111*omega*(2.*cos(theta)+9.))*csgn(omega)*cosh(omega)-1.570796327*exp(.1111111111*omega*(2.*cos(theta)-9.))*csgn(omega)*cosh(omega)+4.712388980*exp(.1111111111*omega*(2.*cos(theta)+9.))*sinh(omega)*omega-4.712388980*exp(.1111111111*omega*(2.*cos(theta)-9.))*sinh(omega)*omega-1.570796327*exp(.1111111111*omega*(2.*cos(theta)+9.))*cosh(omega)*omega-1.570796327*exp(.1111111111*omega*(2.*cos(theta)-9.))*cosh(omega)*omega+1.570796327*exp(-.1111111111*omega*(2.*cos(theta)+27.))*sinh(omega)*omega-1.570796327*exp(-.1111111111*omega*(2.*cos(theta)+27.))*cosh(omega)*omega^2+1.570796327*exp(-(1/9)*omega*(2*cos(theta)-27))*cosh(omega)*omega^2-6.283185307*exp(-.1111111111*omega*(2.*cos(theta)-9.))*cosh(omega)*omega^3-6.283185307*exp(-.1111111111*omega*(2.*cos(theta)+9.))*cosh(omega)*omega^3+.3490658504*exp(-.2222222222*omega*(cos(theta)-9.))*omega^2*cos(theta)-1.745329252*exp(-.2222222222*omega*(cos(theta)+9.))*omega^2*cos(theta)-.3490658504*exp(-.2222222222*omega*(cos(theta)-9.))*omega*cos(theta)+.3490658504*exp(-.2222222222*omega*(cos(theta)+9.))*omega*cos(theta)+6.283185307*exp(-.1111111111*omega*(2.*cos(theta)-9.))*sinh(omega)*omega^2+6.283185307*exp(-.1111111111*omega*(2.*cos(theta)+9.))*sinh(omega)*omega^2-1.570796327*exp(-(1/9)*omega*(2*cos(theta)-27))*sinh(omega)*omega+.3490658504*exp(.2222222222*omega*(cos(theta)-18.))*omega*cos(theta)+1.570796327*exp((1/9)*omega*(2*cos(theta)+27))*csgn(omega)*cosh(omega)-.3490658504*exp(-.2222222222*omega*(cos(theta)+18.))*omega^2*cos(theta)-1.396263401*exp(-.2222222222*omega*(cos(theta)+9.))*omega^3*cos(theta)-1.396263401*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega^3*cos(theta)*cosh(omega)+1.396263401*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^3*cos(theta)*cosh(omega)+.3490658504*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega^2*cos(theta)*cosh(omega)+1.396263401*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega^2*cos(theta)*sinh(omega)-1.396263401*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^2*cos(theta)*sinh(omega)-.3490658504*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega^2*cos(theta)*cosh(omega)-.3490658504*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^2*cos(theta)*cosh(omega)-1.570796327*exp(-.1111111111*omega*(2.*cos(theta)+27.))*csgn(omega)*cosh(omega)*omega+1.570796327*exp(-.1111111111*omega*(2.*cos(theta)+27.))*csgn(omega)*sinh(omega)*omega^2+6.283185307*exp(-.1111111111*omega*(2.*cos(theta)-9.))*csgn(omega)*sinh(omega)*omega^3))*cos((2/9)*omega*sin(theta))*B/(-16.*omega^2+exp(4*omega)-2.+exp(-4.*omega))-(0.3536776512e-1*(-.5235987758*exp(.2222222222*omega*(cos(theta)-9.))-.5235987758*exp(.2222222222*omega*(cos(theta)-18.))-.5235987758*exp(-.2222222222*omega*(cos(theta)-9.))-.5235987758*exp(-(2/9)*omega*cos(theta))+.5235987758*exp((2/9)*omega*cos(theta))+.5235987758*exp(.2222222222*omega*(cos(theta)+9.))+.5235987758*exp(-.2222222222*omega*(cos(theta)+9.))+.5235987758*exp(-.2222222222*omega*(cos(theta)+18.))-2.094395103*exp(-(2/9)*omega*cos(theta))*omega-2.617993879*exp(-(2/9)*omega*cos(theta))*omega^3-3.665191430*exp(-(2/9)*omega*cos(theta))*omega^2+2.094395103*exp((2/9)*omega*cos(theta))*omega+2.617993879*exp((2/9)*omega*cos(theta))*omega^3+3.665191430*exp((2/9)*omega*cos(theta))*omega^2+.5235987758*exp(.2222222222*omega*(cos(theta)-18.))*omega^2-.5235987758*exp(.2222222222*omega*(cos(theta)-9.))*omega^2+.5235987758*exp(.2222222222*omega*(cos(theta)+9.))*omega^2-2.617993879*exp(.2222222222*omega*(cos(theta)-9.))*omega^3+1.047197552*exp(.2222222222*omega*(cos(theta)+9.))*omega+1.047197552*exp(.2222222222*omega*(cos(theta)-9.))*omega-1.047197552*exp(-.2222222222*omega*(cos(theta)-9.))*omega-1.047197552*exp(-.2222222222*omega*(cos(theta)+9.))*omega+.5235987758*exp(-.2222222222*omega*(cos(theta)+9.))*omega^2-.5235987758*exp(-.2222222222*omega*(cos(theta)-9.))*omega^2+2.617993879*exp(-.2222222222*omega*(cos(theta)+9.))*omega^3-.5235987758*exp(-.2222222222*omega*(cos(theta)+18.))*omega^2-.5235987758*exp(.2222222222*omega*(cos(theta)-18.))*omega^3+.5235987758*exp(.2222222222*omega*(cos(theta)+9.))*omega^3+2.094395103*exp(.2222222222*omega*(cos(theta)-9.))*omega^4+.5235987758*exp(-.2222222222*omega*(cos(theta)+18.))*omega^3-2.094395103*exp(-.2222222222*omega*(cos(theta)+9.))*omega^4-.5235987758*exp(-.2222222222*omega*(cos(theta)-9.))*omega^3-2.094395103*exp(-(2/9)*omega*cos(theta))*omega^4+2.094395103*exp((2/9)*omega*cos(theta))*omega^4-.1163552835*exp(-(2/9)*omega*cos(theta))*omega*cos(theta)-.5817764175*exp(-(2/9)*omega*cos(theta))*omega^2*cos(theta)-.3490658505*exp(-(2/9)*omega*cos(theta))*omega^3*cos(theta)-.1163552835*exp((2/9)*omega*cos(theta))*omega*cos(theta)-.5817764175*exp((2/9)*omega*cos(theta))*omega^2*cos(theta)-.3490658505*exp((2/9)*omega*cos(theta))*omega^3*cos(theta)-.1163552835*exp(.2222222222*omega*(cos(theta)+9.))*omega^2*cos(theta)-.3490658505*exp(.2222222222*omega*(cos(theta)-9.))*omega^2*cos(theta)+.1163552835*exp(-.2222222222*omega*(cos(theta)+18.))*omega*cos(theta)+.1163552835*exp(.2222222222*omega*(cos(theta)-18.))*omega^2*cos(theta)-.3490658505*exp(.2222222222*omega*(cos(theta)-9.))*omega^3*cos(theta)-.1163552835*exp(.2222222222*omega*(cos(theta)+9.))*omega*cos(theta)+.1163552835*exp(.2222222222*omega*(cos(theta)-9.))*omega*cos(theta)-.1163552835*exp(-.2222222222*omega*(cos(theta)-9.))*omega^2*cos(theta)-.3490658505*exp(-.2222222222*omega*(cos(theta)+9.))*omega^2*cos(theta)-.1163552835*exp(-.2222222222*omega*(cos(theta)-9.))*omega*cos(theta)+.1163552835*exp(-.2222222222*omega*(cos(theta)+9.))*omega*cos(theta)+.1163552835*exp(.2222222222*omega*(cos(theta)-18.))*omega*cos(theta)+.1163552835*exp(-.2222222222*omega*(cos(theta)+18.))*omega^2*cos(theta)-.3490658505*exp(-.2222222222*omega*(cos(theta)+9.))*omega^3*cos(theta)-.4654211340*exp(-(2/9)*omega*cos(theta))*omega^4*cos(theta)-.4654211340*exp((2/9)*omega*cos(theta))*omega^4*cos(theta)+.4654211340*exp(-.2222222222*omega*(cos(theta)+9.))*omega^4*cos(theta)-.1163552835*exp(.2222222222*omega*(cos(theta)-18.))*omega^3*cos(theta)-.1163552835*exp(.2222222222*omega*(cos(theta)+9.))*omega^3*cos(theta)+.4654211340*exp(.2222222222*omega*(cos(theta)-9.))*omega^4*cos(theta)-.1163552835*exp(-.2222222222*omega*(cos(theta)+18.))*omega^3*cos(theta)-.1163552835*exp(-.2222222222*omega*(cos(theta)-9.))*omega^3*cos(theta)))*cos((2/9)*omega*sin(theta))*E/(-16.*omega^2+exp(4*omega)-2.+exp(-4.*omega))-(0.3536776512e-1*(-3.141592654*exp(.1111111111*omega*(2.*cos(theta)-9.))*F[2]-.5235987758*exp(.1111111111*omega*(2.*cos(theta)-9.))*G[2]-1.570796327*exp(.2222222222*omega*(cos(theta)-9.))*H[3]-.2617993879*exp(.2222222222*omega*(cos(theta)-9.))*J[3]+1.570796327*exp(.2222222222*omega*(cos(theta)-18.))*H[3]+.2617993879*exp(.2222222222*omega*(cos(theta)-18.))*J[3]+1.570796327*exp(.2222222222*omega*(cos(theta)-27.))*H[3]+.2617993879*exp(.2222222222*omega*(cos(theta)-27.))*J[3]+.2617993879*exp(-(2/9)*omega*cos(theta))*J[3]-.2617993879*exp((2/9)*omega*cos(theta))*J[3]+1.570796327*exp(-(2/9)*omega*cos(theta))*H[3]-1.570796327*exp((2/9)*omega*cos(theta))*H[3]+3.141592654*exp(-.1111111111*omega*(2.*cos(theta)-9.))*F[2]+.5235987758*exp(-.1111111111*omeg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ega*(cos(theta)-18.))*omega^6*J[3]-5.585053608*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega^5*G[2]+50.26548247*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega^4*F[2]+5.585053608*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega^5*G[2]-28.27433390*exp(-.2222222222*omega*(cos(theta)+27.))*omega^4*H[3]-2.356194492*exp(-.2222222222*omega*(cos(theta)+27.))*omega^5*J[3]+.7853981636*exp(-.2222222222*omega*(cos(theta)+27.))*omega^3*J[3]+1.396263402*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega^4*G[2]+1.396263402*exp(-.1111111111*omega*(2.*cos(theta)+45.))*omega^4*G[2]-12.56637062*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega^2*F[2]+9.424777961*exp(-.2222222222*omega*(cos(theta)+9.))*omega*H[3]+1.570796327*exp(-.2222222222*omega*(cos(theta)+9.))*omega*J[3]-32.98672287*exp(-.2222222222*omega*(cos(theta)+18.))*omega^3*H[3]-.7853981636*exp(-.2222222222*omega*(cos(theta)+18.))*omega^3*J[3]+.5235987758*exp(-.2222222222*omega*(cos(theta)+18.))*omega^2*J[3]+4.188790206*exp(-.2222222222*omega*(cos(theta)+9.))*omega^2*J[3]+17.27875960*exp(-.2222222222*omega*(cos(theta)+18.))*omega^2*H[3]-5.235987758*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^2*G[2]+10.99557429*exp(-.2222222222*omega*(cos(theta)+9.))*omega^2*H[3]+.5235987758*exp(-.1111111111*omega*(2.*cos(theta)+45.))*omega*G[2]+12.56637062*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^2*F[2]+113.0973355*exp(-.2222222222*omega*(cos(theta)+9.))*omega^5*H[3]+113.0973355*exp(-.2222222222*omega*(cos(theta)+18.))*omega^5*H[3]+1.047197552*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega^2*G[2]-1.047197552*exp(-.1111111111*omega*(2.*cos(theta)+45.))*omega^2*G[2]-5.585053608*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^5*G[2]-50.26548247*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^4*F[2]+9.424777964*exp(-.2222222222*omega*(cos(theta)+9.))*omega^6*J[3]+9.424777964*exp(-.2222222222*omega*(cos(theta)+18.))*omega^6*J[3]-3.141592654*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega*F[2]+1.570796327*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega*G[2]-9.424777961*exp(-.1111111111*omega*(2.*cos(theta)+45.))*omega*F[2]+2.356194492*exp(-.2222222222*omega*(cos(theta)+9.))*omega^5*J[3]-2.356194492*exp(-.2222222222*omega*(cos(theta)+18.))*omega^5*J[3]-1.396263402*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^4*G[2]-65.97344574*exp(-.2222222222*omega*(cos(theta)+9.))*omega^4*H[3]+3.141592654*exp(-.2222222222*omega*(cos(theta)+9.))*omega^4*J[3]-47.12388982*exp(-.2222222222*omega*(cos(theta)+18.))*omega^4*H[3]-3.141592654*exp(-.2222222222*omega*(cos(theta)+18.))*omega^4*J[3]+37.69911184*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^3*F[2]-4.188790206*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^3*G[2]-23.56194490*exp(-.2222222222*omega*(cos(theta)+9.))*omega^3*H[3]+5.497787146*exp(-.2222222222*omega*(cos(theta)+9.))*omega^3*J[3]+14.13716694*exp(-.2222222222*omega*(cos(theta)+27.))*omega^2*H[3]+4.712388982*exp(-.2222222222*omega*(cos(theta)+27.))*omega^3*H[3]-1.396263402*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega^4*G[2]-12.56637062*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega^3*F[2]-4.188790206*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega^3*G[2]-3.141592654*exp(-.2222222222*omega*(cos(theta)+27.))*omega*H[3]-.5235987758*exp(-.2222222222*omega*(cos(theta)+27.))*omega*J[3]-3.141592654*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega*F[2]-2.617993879*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega*G[2]+15.70796327*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega*F[2]+.5235987758*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega*G[2]-25.13274122*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega^2*F[2]+1.047197552*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega^2*G[2]+12.56637062*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega^3*F[2]+12.56637062*exp(-.1111111111*omega*(2.*cos(theta)+45.))*omega^3*F[2]+1.047197551*exp(-(2/9)*omega*cos(theta))*omega^2*cos(theta)*H[3]+.1745329253*exp(-(2/9)*omega*cos(theta))*omega^2*cos(theta)*J[3]-5.235987755*exp(-(2/9)*omega*cos(theta))*omega^3*cos(theta)*H[3]+.1745329253*exp(-(2/9)*omega*cos(theta))*omega^3*cos(theta)*J[3]+.5235987760*exp(-(2/9)*omega*cos(theta))*omega^5*cos(theta)*J[3]+6.283185310*exp(-(2/9)*omega*cos(theta))*omega^4*cos(theta)*H[3]+.3490658504*exp(-(2/9)*omega*cos(theta))*omega*cos(theta)*H[3]+0.5817764175e-1*exp(-(2/9)*omega*cos(theta))*omega*cos(theta)*J[3]+1.047197551*exp((2/9)*omega*cos(theta))*omega^2*cos(theta)*H[3]+.1745329253*exp((2/9)*omega*cos(theta))*omega^2*cos(theta)*J[3]-5.235987755*exp((2/9)*omega*cos(theta))*omega^3*cos(theta)*H[3]+.1745329253*exp((2/9)*omega*cos(theta))*omega^3*cos(theta)*J[3]+.5235987760*exp((2/9)*omega*cos(theta))*omega^5*cos(theta)*J[3]+6.283185310*exp((2/9)*omega*cos(theta))*omega^4*cos(theta)*H[3]+.3490658504*exp((2/9)*omega*cos(theta))*omega*cos(theta)*H[3]+0.5817764175e-1*exp((2/9)*omega*cos(theta))*omega*cos(theta)*J[3]+6.283185307*exp(-(2/9)*omega*cos(theta))*omega*H[3]+1.047197552*exp(-(2/9)*omega*cos(theta))*omega*J[3]+.7853981636*exp(-(2/9)*omega*cos(theta))*omega^3*J[3]-4.712388980*exp(-(2/9)*omega*cos(theta))*omega^2*H[3]+1.570796327*exp(-(2/9)*omega*cos(theta))*omega^2*J[3]-23.56194490*exp(-(2/9)*omega*cos(theta))*omega^3*H[3]+2.356194492*exp(-(2/9)*omega*cos(theta))*omega^5*J[3]+28.27433390*exp(-(2/9)*omega*cos(theta))*omega^4*H[3]-6.283185307*exp((2/9)*omega*cos(theta))*omega*H[3]-1.047197552*exp((2/9)*omega*cos(theta))*omega*J[3]-.7853981636*exp((2/9)*omega*cos(theta))*omega^3*J[3]+4.712388980*exp((2/9)*omega*cos(theta))*omega^2*H[3]-1.570796327*exp((2/9)*omega*cos(theta))*omega^2*J[3]+23.56194490*exp((2/9)*omega*cos(theta))*omega^3*H[3]-2.356194492*exp((2/9)*omega*cos(theta))*omega^5*J[3]-28.27433390*exp((2/9)*omega*cos(theta))*omega^4*H[3]+2.792526803*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega^2*cos(theta)*F[2]-.2327105670*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega^2*cos(theta)*G[2]+.3490658504*exp(.2222222222*omega*(cos(theta)-18.))*omega^2*cos(theta)*H[3]+2.792526804*exp(.1111111111*omega*(2.*cos(theta)-45.))*omega^3*cos(theta)*F[2]-25.13274123*exp(-.2222222222*omega*(cos(theta)+18.))*omega^5*cos(theta)*H[3]-.5235987760*exp(-.2222222222*omega*(cos(theta)+18.))*omega^5*cos(theta)*J[3]-11.17010721*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^4*cos(theta)*F[2]+.3102807560*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^4*cos(theta)*G[2]-27.22713633*exp(-.2222222222*omega*(cos(theta)+9.))*omega^4*cos(theta)*H[3]+.6981317013*exp(-.2222222222*omega*(cos(theta)+9.))*omega^4*cos(theta)*J[3]+.5235987760*exp(-.2222222222*omega*(cos(theta)+27.))*omega^5*cos(theta)*J[3]-1.047197551*exp(-.2222222222*omega*(cos(theta)+27.))*omega^3*cos(theta)*H[3]-.1745329253*exp(-.2222222222*omega*(cos(theta)+27.))*omega^3*cos(theta)*J[3]+6.283185310*exp(-.2222222222*omega*(cos(theta)+27.))*omega^4*cos(theta)*H[3]-1.241123024*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega^5*cos(theta)*G[2]-11.17010721*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega^4*cos(theta)*F[2]-.3102807560*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega^4*cos(theta)*G[2]-1.047197551*exp(-.2222222222*omega*(cos(theta)+27.))*omega^2*cos(theta)*H[3]-.1745329253*exp(-.2222222222*omega*(cos(theta)+27.))*omega^2*cos(theta)*J[3]-2.792526803*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^2*cos(theta)*F[2]-.6981317013*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^2*cos(theta)*G[2]+5.585053605*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega^2*cos(theta)*F[2]+.3490658504*exp(-.2222222222*omega*(cos(theta)+18.))*omega^2*cos(theta)*H[3]+0.5817764175e-1*exp(-.2222222222*omega*(cos(theta)+18.))*omega^2*cos(theta)*J[3]+2.094395103*exp(-.2222222222*omega*(cos(theta)+9.))*omega^6*cos(theta)*J[3]-2.094395103*exp(-.2222222222*omega*(cos(theta)+18.))*omega^6*cos(theta)*J[3]-1.241123024*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^5*cos(theta)*G[2]+25.13274123*exp(-.2222222222*omega*(cos(theta)+9.))*omega^5*cos(theta)*H[3]-.5235987760*exp(-.2222222222*omega*(cos(theta)+9.))*omega^5*cos(theta)*J[3]-.6981317013*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega*cos(theta)*F[2]-.1163552835*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega*cos(theta)*G[2]-2.792526803*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega^2*cos(theta)*F[2]+.2327105670*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega^2*cos(theta)*G[2]-.3490658504*exp(-.2222222222*omega*(cos(theta)+18.))*omega*cos(theta)*H[3]-0.5817764175e-1*exp(-.2222222222*omega*(cos(theta)+18.))*omega*cos(theta)*J[3]-.3490658504*exp(-.2222222222*omega*(cos(theta)+27.))*omega*cos(theta)*H[3]-0.5817764175e-1*exp(-.2222222222*omega*(cos(theta)+27.))*omega*cos(theta)*J[3]-.6981317013*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega*cos(theta)*F[2]-.1163552835*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega*cos(theta)*G[2]+.3490658504*exp(-.2222222222*omega*(cos(theta)+9.))*omega*cos(theta)*H[3]+0.5817764175e-1*exp(-.2222222222*omega*(cos(theta)+9.))*omega*cos(theta)*J[3]-.1163552835*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega*cos(theta)*G[2]-.6981317013*exp(.1111111111*omega*(2.*cos(theta)-45.))*omega*cos(theta)*F[2]+2.792526804*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega^3*cos(theta)*F[2]+9.424777960*exp(.2222222222*omega*(cos(theta)-18.))*omega^3*cos(theta)*H[3]-2.094395101*exp(.2222222222*omega*(cos(theta)-18.))*omega^4*cos(theta)*H[3]+.6981317013*exp(.2222222222*omega*(cos(theta)-18.))*omega^4*cos(theta)*J[3]+2.443460953*exp(.2222222222*omega*(cos(theta)-9.))*omega^2*cos(theta)*H[3]+.4072434923*exp(.2222222222*omega*(cos(theta)-9.))*omega^2*cos(theta)*J[3]-2.792526804*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega^3*cos(theta)*F[2]-.6981317013*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega*cos(theta)*F[2]-.1745329253*exp(.2222222222*omega*(cos(theta)-27.))*omega^2*cos(theta)*J[3]+2.792526803*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega^2*cos(theta)*F[2]+.6981317013*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega^2*cos(theta)*G[2]-5.585053605*exp(.1111111111*omega*(2.*cos(theta)-27.))*omega^2*cos(theta)*F[2]-.2327105670*exp(.1111111111*omega*(2.*cos(theta)-27.))*omega^2*cos(theta)*G[2]+2.792526803*exp(.1111111111*omega*(2.*cos(theta)-27.))*omega^3*cos(theta)*F[2]-.9308422680*exp(.1111111111*omega*(2.*cos(theta)-27.))*omega^3*cos(theta)*G[2]+.3102807560*exp(.1111111111*omega*(2.*cos(theta)-45.))*omega^4*cos(theta)*G[2]-.3102807560*exp(.1111111111*omega*(2.*cos(theta)+9.))*omega^4*cos(theta)*G[2]-.2327105670*exp(.1111111111*omega*(2.*cos(theta)-45.))*omega^2*cos(theta)*G[2]-13.96263402*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega^3*cos(theta)*F[2]+.9308422680*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega^3*cos(theta)*G[2]+5.235987755*exp(.2222222222*omega*(cos(theta)-9.))*omega^3*cos(theta)*H[3]+.5235987760*exp(.2222222222*omega*(cos(theta)-18.))*omega^3*cos(theta)*J[3]+.8726646260*exp(.2222222222*omega*(cos(theta)-9.))*omega^3*cos(theta)*J[3]+2.094395103*exp(.2222222222*omega*(cos(theta)-9.))*omega^6*cos(theta)*J[3]-2.094395103*exp(.2222222222*omega*(cos(theta)-18.))*omega^6*cos(theta)*J[3]+1.241123024*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega^5*cos(theta)*G[2]+25.13274123*exp(.2222222222*omega*(cos(theta)-9.))*omega^5*cos(theta)*H[3]-.5235987760*exp(.2222222222*omega*(cos(theta)-9.))*omega^5*cos(theta)*J[3]-25.13274123*exp(.2222222222*omega*(cos(theta)-18.))*omega^5*cos(theta)*H[3]-.5235987760*exp(.2222222222*omega*(cos(theta)-18.))*omega^5*cos(theta)*J[3]+11.17010721*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega^4*cos(theta)*F[2]-.3102807560*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega^4*cos(theta)*G[2]-27.22713633*exp(.2222222222*omega*(cos(theta)-9.))*omega^4*cos(theta)*H[3]+.6981317013*exp(.2222222222*omega*(cos(theta)-9.))*omega^4*cos(theta)*J[3]+.5235987760*exp(.2222222222*omega*(cos(theta)-27.))*omega^5*cos(theta)*J[3]-1.047197551*exp(.2222222222*omega*(cos(theta)-27.))*omega^3*cos(theta)*H[3]-.1745329253*exp(.2222222222*omega*(cos(theta)-27.))*omega^3*cos(theta)*J[3]+6.283185310*exp(.2222222222*omega*(cos(theta)-27.))*omega^4*cos(theta)*H[3]+1.241123024*exp(.1111111111*omega*(2.*cos(theta)-27.))*omega^5*cos(theta)*G[2]+11.17010721*exp(.1111111111*omega*(2.*cos(theta)-27.))*omega^4*cos(theta)*F[2]+.3102807560*exp(.1111111111*omega*(2.*cos(theta)-27.))*omega^4*cos(theta)*G[2]-1.047197551*exp(.2222222222*omega*(cos(theta)-27.))*omega^2*cos(theta)*H[3]-2.792526804*exp(-.1111111111*omega*(2.*cos(theta)+45.))*omega^3*cos(theta)*F[2]+.8726646260*exp(-.2222222222*omega*(cos(theta)+9.))*omega^3*cos(theta)*J[3]+.6981317013*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega*cos(theta)*F[2]+.1163552835*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega*cos(theta)*G[2]+.6981317013*exp(-.1111111111*omega*(2.*cos(theta)+45.))*omega*cos(theta)*F[2]+.1163552835*exp(-.1111111111*omega*(2.*cos(theta)+45.))*omega*cos(theta)*G[2]-.1163552835*exp(.1111111111*omega*(2.*cos(theta)-45.))*omega*cos(theta)*G[2]+.2327105670*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega^2*cos(theta)*G[2]-2.792526803*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega^3*cos(theta)*F[2]+.9308422680*exp(-.1111111111*omega*(2.*cos(theta)+27.))*omega^3*cos(theta)*G[2]-.3102807560*exp(-.1111111111*omega*(2.*cos(theta)+45.))*omega^4*cos(theta)*G[2]+.3102807560*exp(-.1111111111*omega*(2.*cos(theta)-9.))*omega^4*cos(theta)*G[2]+.2327105670*exp(-.1111111111*omega*(2.*cos(theta)+45.))*omega^2*cos(theta)*G[2]+13.96263402*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^3*cos(theta)*F[2]-.9308422680*exp(-.1111111111*omega*(2.*cos(theta)+9.))*omega^3*cos(theta)*G[2]+5.235987755*exp(-.2222222222*omega*(cos(theta)+9.))*omega^3*cos(theta)*H[3]+.5235987760*exp(-.2222222222*omega*(cos(theta)+18.))*omega^3*cos(theta)*J[3]+.6981317013*exp(.1111111111*omega*(2.*cos(theta)-27.))*omega*cos(theta)*F[2]+.1163552835*exp(.1111111111*omega*(2.*cos(theta)-27.))*omega*cos(theta)*G[2]+9.424777960*exp(-.2222222222*omega*(cos(theta)+18.))*omega^3*cos(theta)*H[3]-2.094395101*exp(-.2222222222*omega*(cos(theta)+18.))*omega^4*cos(theta)*H[3]+.6981317013*exp(-.2222222222*omega*(cos(theta)+18.))*omega^4*cos(theta)*J[3]+2.443460953*exp(-.2222222222*omega*(cos(theta)+9.))*omega^2*cos(theta)*H[3]+.4072434923*exp(-.2222222222*omega*(cos(theta)+9.))*omega^2*cos(theta)*J[3]+0.5817764175e-1*exp(.2222222222*omega*(cos(theta)-18.))*omega^2*cos(theta)*J[3]+.6981317013*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega*cos(theta)*F[2]+.1163552835*exp(.1111111111*omega*(2.*cos(theta)-9.))*omega*cos(theta)*G[2]+.3490658504*exp(.2222222222*omega*(cos(theta)-9.))*omega*cos(theta)*H[3]+0.5817764175e-1*exp(.2222222222*omega*(cos(theta)-9.))*omega*cos(theta)*J[3]-.3490658504*exp(.2222222222*omega*(cos(theta)-18.))*omega*cos(theta)*H[3]-0.5817764175e-1*exp(.2222222222*omega*(cos(theta)-18.))*omega*cos(theta)*J[3]-.3490658504*exp(.2222222222*omega*(cos(theta)-27.))*omega*cos(theta)*H[3]-0.5817764175e-1*exp(.2222222222*omega*(cos(theta)-27.))*omega*cos(theta)*J[3]))*cos((2/9)*omega*sin(theta))/(-16.*omega^2+exp(4*omega)-2.+exp(-4.*omega))]:
t:=coeff(t1,A);
 

 

## but i'm getting the error "Error, unable to compute coeff". Please help me!

 

 

How I can differential with respect to the constant Amnr], Bmnr], Cmnr]

 

>  >  >  (1) >  >  >  >  >  >  >  >  >  >

 

Download

 

How I can plot torus structure in the following code instead of cylindrical.

Thanks.

 

>  >    >    >  (1) >  >  (2) >

 

Download toro.mw

 

 

\Hello,

How I can solve this algebraic to find unknowns ABCD?

I want to gain ABCD automatically without input the coefficients in rule by hand.

Because I should run the code for many input data

Thanks

 

>  restart; >  l:=0.5;a:=0.1; rho:=2700;h:=.0005; E:=72.4*10^9;v:= 0.3; n:=6; m:=1; AD:=10; mu:=(2*a*2.35)/l; nu:=sin(mu*l/(2*a))/sinh(mu*l/(2*a)); omega[m,n]:= 3067.173621; (1) >    >  E:=1:k[1,1]:=-5.660173062*10^10:k[1,2]:=-2.8552873062*10^10:k[1,3]:=-8.68528173062*10^10:k[1,4]:=-7.6788528173062*10^10:k[1,5]:=-1.52568528173062*10^10:k[2,1]:=-15.660173062*10^10:k[2,2]:=-21.8552873062*10^10:k[2,3]:=-18.68528173062*10^10:k[2,4]:=-71.6788528173062*10^10:k[2,5]:=-10.52568528173062*10^10: k[3,1]:=-5.65257260173062*10^10:k[3,2]:=-27.8552552873062*10^10:k[3,3]:=-81.6854428173062*10^10:k[3,4]:=-9.67858528173062*10^10:k[3,5]:=-3.52568528173062*10^10: k[4,1]:=-51.111660173062*10^10:k[4,2]:=-21.811552873062*10^10:k[4,3]:=-18.68528173062*10^10:k[4,4]:=-17.6788528173062*10^10:k[4,5]:=-11.52568528173062*10^10: k[5,1]:=-6.660173062*10^10:k[5,2]:=-61.852873062*10^10:k[5,3]:=-82.68528173062*10^10:k[5,4]:=-72.6788528173062*10^10:k[5,5]:=-21.52568528173062*10^10 (2)   >    >  S:=(Matrix([[rho*h*omega[m,n]^2+k[1, 1],k[1,2],k[1,3],k[1,4]],[k[2,1],rho*h*omega[m,n]^2+k[2,2],k[2,3],k[2,4]],[k[3,1],k[3,2],k[3,3]+rho*h*omega[m,n]^2,k[3,4]],[k[4,1],k[4,2],k[4,3],k[4,4]+rho*h*omega[m,n]^2]])).(Vector(1..4,[[A],[B],[C],[D]]))=-E*(Vector(1..4,[k[1,5],k[2, 5],k[3,5],k[4,5]])); (3) >

 

Download solve.mw

 

 

 

The worksheet below animates the flattening of a tetrahedron by expanding one of its faces, namely its triangular base.

I would like to animate the flattening of an octahedron so that it assumes the 2D figure resembling the Morley triangle which is included in the worksheet.

Are there documents on the web explaining the technique for doing so? Is there a Maple worksheet available on the web demonstrating the desired animation?

Flatten_a_tetrahedron.mw

n is a Carmichael number iff for every prime factor p of n, p-1/n-1.

Question: How to find odd squarefree composite numbers n having k distinct prime divisors, and the property that exactly k-1 prime divisors satisfy the Carmichael requirement, p-1/n-1 ?

Examples: 231,1045,1635. In these cases k=3 and the prime divisors satisfying the criteria are the greatest and smallest. I have a code for this but would like to compute the general case, where the criteria is satisfied for precisely any k-1 divisors.

Any assistance greatly appreciated.

David. 

 

Is there any maple function to test whether infinite sums and integrals can be swapped say for example whether

this is true? for a given f(x):

Hi, my codes ran smoothly well until I changed some assignment value. It reported invalid object error.

Error, Got internal error in Typesetting:-Parse:-Postprocess : "internal error: invalid object "

Part of the codes are as follows:

""sigma:=0.00002:    m:=5:   n:=4:
Error, Got internal error in Typesetting:-Parse:-Postprocess : "internal error: invalid object "

Could anyone give some hints on what goes wrong here? It seems to be a configuration issue but I completely have no clue..

Thanks a million in advance,

Best,

Jie

 

 

In some previous version of Maple there was a function to convert an approximate numerical value, say 1.77245,

to the exact value (if it exists and is short), say sqrt(Pi). I cannot remember the name of this function. Is it still in Maple?

Thanks for any help

Pavel

restart; interface(rtablesize = 10): _EnvHorizontalName := 'x': _EnvVerticalName := 'y': eqPA := (y-b0)/(x-a0) = k: solPA := y=solve(eqPA, y): #k coefficient directeur de PA eqPB := (y-b0)/(x-a0) = -1/k: solPB :=y= solve(eqPB, y):#PB perpendicalaire à PA xA := solve(subs(y = 0, eqPA), x): yB := solve(subs(x = 0, eqPB), y): eqAB := x/xA+y/yB = 1; x k y k eqAB := --------- + --------- = 1 a0 k - b0 b0 k + a0 t := solve(a*(xM+(1/2)*t*a)+b*(yM+(1/2)*t*b)+c = 0, t); 2 (a xM + b yM + c) t := - ------------------- 2 2 a + b #Recherche des coordonnées de la projection d'un point sur une droite D #M(x,y)un point quelconque du plan, M'(x',y') son symé trique dans la symétrie orthogonale d'axe D #le vecteur MM' est colinéaire du vecteur normal n de D; vec(MM')=t.vec(n), n=

Hi! I can´t see what i´m doing wrong! :( Thank you for your help!!!

Hello everyone, here i Denmark we are using comma as a separator for decimal numbers. I have looked in the forum and found that if i changed my region in windows settings, but it is Denmark. When i use number formatting it tells me the output will be with comma as a separator,  but the output comes out with period as the separator. Is there a way to change it manually ?

 

 

I am interested in the root of the equation ((2*n-1)*x + 2*n + 1)*x^n = 1 - x, where 0 < x < 1 and n is a large positive integer.  I believe that the root converges to 1 as n goes to infinity.  How does one obtain an asymptotic estimate of the root for large n?

 

Hello fellows,

I am currently using Maple and surprised I can not solve the following problem. I want to use a function as the upper limit of an integral, for example

f(t) := int(1/x, x = 1 .. t) .

Could anyone tell me why Maple won't understand this?

Thank you for your help, I wish you a nice week.

Mac