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Determinant of the thirty-by-thirty matrix


  $\displaystyle $ $\displaystyle -(f_2(f_3^7((-C_{46}f_2-(C_{36}+C_{45})f_3)(-C_{35}f_3^2+f_2(-C_{46}f_2-(C_{36}+C_{45})f_3)+f_1(-C_{15}f_1-(C_{14}+C_{56})f_2$  
  $\displaystyle $ $\displaystyle -(C_{13}+C_{55})f_3))+(C_{44}f_2+ 2C_{34}f_3)(\rho-C_{55}f_3^2+f_1(-C_{11}f_1-2C_{16}f_2-2C_{15}f_3)+f_2(-C_{66}f_2$  
  $\displaystyle $ $\displaystyle -2C_{56}f_3)))(-f_3^2(\rho f_3^2-C_{44}f_3^4)(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2$  
  $\displaystyle $ $\displaystyle +(-C_{13}-C_{55})f_3))-C_{34}f_3^6(-C_{45}f_3^2+f_2(-C_{26}f_2+(-C_{25}-C_{46})f_3)+f_1(-C_{16}f_1+(-C_{12}-C_{66})f_2$  
  $\displaystyle $ $\displaystyle +(-C_{14}-C_{56})f_3))-f_2f_3^4((-C_{22}f_2-2C_{24}f_3)(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1$  
  $\displaystyle $ $\displaystyle +(-C_{14}-C_{56})f_2+(-C_{13}-C_{55})f_3))-(-C_{24}f_2+(-C_{23}-C_{44})f_3)(-C_{45}f_3^2+f_2(-C_{26}f_2+(-C_{25}-C_{46})f_3)$  
  $\displaystyle $ $\displaystyle +f_1(-C_{16}f_1+(-C_{12}-C_{66})f_2+(-C_{14}-C_{56})f_3)))-f_1f_3^4((-C_{66}f_1-2C_{26}f_2-2C_{46}f_3)(-C_{35}f_3^2$  
  $\displaystyle $ $\displaystyle +f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2+(-C_{13}-C_{55})f_3))-(-C_{56}f_1+(-C_{25}-C_{46})f_2$  
  $\displaystyle $ $\displaystyle +(-C_{36}-C_{45})f_3)(-C_{45}f_3^2+f_2(-C_{26}f_2+(-C_{25}-C_{46})f_3)+f_1(-C_{16}f_1+(-C_{12}-C_{66})f_2+(-C_{14}-C_{56})f_3))))$  
  $\displaystyle $ $\displaystyle -f_3^11((-C_{24}f_2+(-C_{23}-C_{44})f_3)(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2$  
  $\displaystyle $ $\displaystyle +(-C_{13}-C_{55})f_3))-(-C_{44}f_2-2C_{34}f_3)(-C_{45}f_3^2+f_2(-C_{26}f_2+(-C_{25}-C_{46})f_3)+f_1(-C_{16}f_1+(-C_{12}-C_{66})f_2$  
  $\displaystyle $ $\displaystyle +(-C_{14}-C_{56})f_3)))(-f_2((C_{24}f_2+(C_{23}+C_{44})f_3)(\rho-C_{11}f_1^2-2C_{16}f_1f_2-C_{66}f_2^2-2C_{15}f_1f_3-2C_{56}f_2f_3$  
  $\displaystyle $ $\displaystyle -C_{55}f_3^2)+(-C_{26}f_2+(-C_{25}-C_{46})f_3)(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2$  
  $\displaystyle $ $\displaystyle +(-C_{13}-C_{55})f_3)))-f_3^2(-C_{45}(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2+(-C_{13}$  
  $\displaystyle $ $\displaystyle -C_{55})f_3))+C_{34}(\rho-C_{55}f_3^2+f_1(-C_{11}f_1-2C_{16}f_2-2C_{15}f_3)+f_2(-C_{66}f_2-2C_{56}f_3)))-f_1((-C_{16}f_1$  
  $\displaystyle $ $\displaystyle +(-C_{12}-C_{66})f_2+(-C_{14}-C_{56})f_3)(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2$  
  $\displaystyle $ $\displaystyle +(-C_{13}-C_{55})f_3))-(-C_{56}f_1+(-C_{25}-C_{46})f_2+(-C_{36}-C_{45})f_3)(\rho-C_{55}f_3^2+f_1(-C_{11}f_1-2C_{16}f_2-2C_{15}f_3)$  
  $\displaystyle $ $\displaystyle +f_2(-C_{66}f_2-2C_{56}f_3)))))+f_1(f_3^7((-C_{15}f_1+(-C_{14}-C_{56})f_2+(-C_{13}-C_{55})f_3)(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}$  
  $\displaystyle $ $\displaystyle -C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2+(-C_{13}-C_{55})f_3))-(-C_{55}f_1-2C_{45}f_2-2C_{35}f_3)(\rho-C_{55}f_3^2$  
  $\displaystyle $ $\displaystyle +f_1(-C_{11}f_1-2C_{16}f_2-2C_{15}f_3)+f_2(-C_{66}f_2-2C_{56}f_3)))(-f_3^2(\rho f_3^2-C_{44}f_3^4)(-C_{35}f_3^2+f_2(-C_{46}f_2$  
  $\displaystyle $ $\displaystyle +(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2+(-C_{13}-C_{55})f_3))-C_{34}f_3^6(-C_{45}f_3^2+f_2(-C_{26}f_2+(-C_{25}$  
  $\displaystyle $ $\displaystyle -C_{46})f_3)+f_1(-C_{16}f_1+(-C_{12}-C_{66})f_2+(-C_{14}-C_{56})f_3))-f_2f_3^4((-C_{22}f_2-2C_{24}f_3)(-C_{35}f_3^2$  
  $\displaystyle $ $\displaystyle +f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2+(-C_{13}-C_{55})f_3))-(-C_{24}f_2+$  
  $\displaystyle $ $\displaystyle (-C_{23}-C_{44})f_3)(-C_{45}f_3^2+f_2(-C_{26}f_2+(-C_{25}-C_{46})f_3)+f_1(-C_{16}f_1+(-C_{12}-C_{66})f_2+(-C_{14}-C_{56})f_3)))$  
  $\displaystyle $ $\displaystyle -f_1f_3^4((-C_{66}f_1-2C_{26}f_2-2C_{46}f_3)(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2$  
  $\displaystyle $ $\displaystyle +(-C_{13}-C_{55})f_3))-(-C_{56}f_1+(-C_{25}-C_{46})f_2+(-C_{36}-C_{45})f_3)(-C_{45}f_3^2+f_2(-C_{26}f_2+(-C_{25}-C_{46})f_3)$  
  $\displaystyle $ $\displaystyle +f_1(-C_{16}f_1+(-C_{12}-C_{66})f_2+(-C_{14}-C_{56})f_3))))-f_3^11((-C_{56}f_1+(-C_{25}-C_{46})f_2$  


  $\displaystyle $ $\displaystyle +(-C_{36}-C_{45})f_3)(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2+(-C_{13}-C_{55})f_3))$  
  $\displaystyle $ $\displaystyle -(-C_{55}f_1-2C_{45}f_2-2C_{35}f_3)(-C_{45}f_3^2+f_2(-C_{26}f_2+(-C_{25}-C_{46})f_3)+f_1(-C_{16}f_1+(-C_{12}-C_{66})f_2$  
  $\displaystyle $ $\displaystyle +(-C_{14}-C_{56})f_3)))(-f_2((C_{24}f_2+(C_{23}+C_{44})f_3)(\rho-C_{11}f_1^2-2C_{16}f_1f_2-C_{66}f_2^2-2C_{15}f_1f_3$  
  $\displaystyle $ $\displaystyle -2C_{56}f_2f_3-C_{5 5}f_3^2)+(-C_{26}f_2+(-C_{25}-C_{46})f_3)(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)$  
  $\displaystyle $ $\displaystyle +f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2+(-C_{13}-C_{55})f_3)))-f_3^2(-C_{45}(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)$  
  $\displaystyle $ $\displaystyle +f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2+(-C_{13}-C_{55})f_3))+C_{34}(\rho-C_{55}f_3^2+f_1(-C_{11}f_1-2C_{16}f_2-2C_{15}f_3)$  
  $\displaystyle $ $\displaystyle +f_2(-C_{66}f_2-2C_{56}f_3)))-f_1((-C_{16}f_1+(-C_{12}-C_{66})f_2+(-C_{14}-C_{56})f_3)(-C_{35}f_3^2+f_2(-C_{46}f_2$  
  $\displaystyle $ $\displaystyle +(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2+(-C_{13}-C_{55})f_3))-(-C_{56}f_1+(-C_{25}-C_{46})f_2$  
  $\displaystyle $ $\displaystyle +(-C_{36}-C_{45})f_3)(\rho-C_{55}f_3^2+f_1(-C_{11}f_1-2C_{16}f_2-2C_{15}f_3)+f_2(-C_{66}f_2-2C_{56}f_3)))))$  
  $\displaystyle $ $\displaystyle +f_3(f_3^2(-C_{35}f_3^6(-C_{3 5}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2$  
  $\displaystyle $ $\displaystyle +(-C_{13}-C_{55})f_3))-f_3^4(\rho-C_{33}f_3^2)(\rho-C_{55}f_3^2+f_1(-C_{11}f_1-2C_{16}f_2-2C_{15}f_3)$  
  $\displaystyle $ $\displaystyle +f_2(-C_{66}f_2-2C_{56}f_3)))(-f_3^2(\rho f_3^2-C_{44}f_3^4)(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1$  
  $\displaystyle $ $\displaystyle +(-C_{14}-C_{56})f_2+(-C_{13}-C_{55})f_3))-C_{34}f_3^6(-C_{45}f_3^2+f_2(-C_{26}f_2+(-C_{25}-C_{46})f_3)+f_1(-C_{16}f_1+(-C_{12}$  
  $\displaystyle $ $\displaystyle -C_{66})f_2+(-C_{14}-C_{56})f_3))-f_2f_3^4((-C_{22}f_2-2C_{24}f_3)(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)$  
  $\displaystyle $ $\displaystyle +f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2+(-C_{13}-C_{55})f_3))-(-C_{24}f_2+(-C_{23}-C_{44})f_3)(-C_{45}f_3^2+f_2(-C_{26}f_2$  
  $\displaystyle $ $\displaystyle +(-C_{25}-C_{46})f_3)+f_1(-C_{16}f_1+(-C_{12}-C_{66})f_2+(-C_{14}-C_{56})f_3)))-f_1f_3^4((-C_{66}f_1-2C_{26}f_2$  
  $\displaystyle $ $\displaystyle -2C_{46}f_3)(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2+(-C_{13}-C_{55})f_3))$  
  $\displaystyle $ $\displaystyle -(-C_{56}f_1+(-C_{25}-C_{46})f_2+(-C_{36}-C_{45})f_3)(-C_{45}f_3^2+f_2(-C_{26}f_2+(-C_{25}-C_{46})f_3)+f_1(-C_{16}f_1$  
  $\displaystyle $ $\displaystyle +(-C_{12}-C_{66})f_2+(-C_{14}-C_{56})f_3))))-f_3^6(-C_{34}f_3^6(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)$  
  $\displaystyle $ $\displaystyle +f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2+(-C_{13}-C_{55})f_3))-f_3^4(\rho-C_{33}f_3^2)(-C_{45}f_3^2+f_2(-C_{26}f_2$  
  $\displaystyle $ $\displaystyle +(-C_{25}-C_{46})f_3)+f_1(-C_{16}f_1+(-C_{12}-C_{66})f_2+(-C_{14}-C_{56})f_3)))(-f_2((C_{24}f_2+(C_{23}$  
  $\displaystyle $ $\displaystyle +C_{44})f_3)(\rho-C_{11}f_1^2-2C_{16}f_1f_2-C_{66}f_2^2-2C_{15}f_1f_3-2C_{56}f_2f_3-C_{55}f_3^2)+(-C_{26}f_2$  
  $\displaystyle $ $\displaystyle +(-C_{25}-C_{46})f_3)(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2$  
  $\displaystyle $ $\displaystyle +(-C_{13}-C_{55})f_3)))-f_3^2(-C_{45}(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2$  
  $\displaystyle $ $\displaystyle +(-C_{13}-C_{55})f_3))+C_{34}(\rho-C_{55}f_3^2+f_1(-C_{11}f_1-2C_{16}f_2-2C_{15}f_3)+f_2(-C_{66}f_2-2C_{56}f_3)))$  
  $\displaystyle $ $\displaystyle -f_1((-C_{16}f_1+(-C_{12}-C_{66})f_2+(-C_{14}-C_{56})f_3)(-C_{35}f_3^2+f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1$  
  $\displaystyle $ $\displaystyle +(-C_{14}-C_{56})f_2+(-C_{13}-C_{55})f_3))-(-C_{56}f_1+(-C_{25}-C_{46})f_2+(-C_{36}-C_{45})f_3)(\rho-C_{55}f_3^2$  
  $\displaystyle $ $\displaystyle +f_1(-C_{11}f_1-2C_{16}f_2-2C_{15}f_3)+f_2(-C_{66}f_2-2C_{56}f_3))))))/(f_3^11(-C_{35}f_3^2$  
  $\displaystyle $ $\displaystyle +f_2(-C_{46}f_2+(-C_{36}-C_{45})f_3)+f_1(-C_{15}f_1+(-C_{14}-C_{56})f_2+(-C_{13}-C_{55})f_3)))$  

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Next: Principal symbol characteristic results Up: Ph.D. thesis proposal: Seismic Previous: The thirty-by-thirty matrix of   Contents
David Dalton 2004-04-20