{Knot[3, 1] -> 2*a^2 - a^4 + a^2*z^2, Knot[4, 1] -> -1 + a^(-2) + a^2 - z^2, 
 Knot[5, 1] -> 3*a^4 - 2*a^6 + 4*a^4*z^2 - a^6*z^2 + a^4*z^4, 
 Knot[5, 2] -> a^2 + a^4 - a^6 + a^2*z^2 + a^4*z^2, 
 Knot[6, 1] -> a^(-2) - a^2 + a^4 - z^2 - a^2*z^2, 
 Knot[6, 2] -> 2 - 2*a^2 + a^4 + z^2 - 3*a^2*z^2 + a^4*z^2 - a^2*z^4, 
 Knot[6, 3] -> 3 - a^(-2) - a^2 + 3*z^2 - z^2/a^2 - a^2*z^2 + z^4, 
 Knot[7, 1] -> 4*a^6 - 3*a^8 + 10*a^6*z^2 - 4*a^8*z^2 + 6*a^6*z^4 - a^8*z^4 + 
   a^6*z^6, Knot[7, 2] -> a^2 + a^6 - a^8 + a^2*z^2 + a^4*z^2 + a^6*z^2, 
 Knot[7, 3] -> -2/a^8 + 2/a^6 + a^(-4) - z^2/a^8 + (3*z^2)/a^6 + 
   (3*z^2)/a^4 + z^4/a^6 + z^4/a^4, 
 Knot[7, 4] -> -a^(-8) + 2/a^4 + z^2/a^6 + (2*z^2)/a^4 + z^2/a^2, 
 Knot[7, 5] -> 2*a^4 - a^8 + 3*a^4*z^2 + 2*a^6*z^2 - a^8*z^2 + a^4*z^4 + 
   a^6*z^4, Knot[7, 6] -> 1 - a^2 + 2*a^4 - a^6 + z^2 - 2*a^2*z^2 + 
   2*a^4*z^2 - a^2*z^4, Knot[7, 7] -> 2 + a^(-4) - 2/a^2 + 2*z^2 - 
   (2*z^2)/a^2 - a^2*z^2 + z^4}
