$\lambda_j = c_0 + c_1 \omega^j + c_2 \omega^{2j}$ for $j=0, 1, 2$

$\lambda_j = c_0 + c_1 \omega^{2j} + c_2 \omega^j$ for $j=0, 1, 2$

$\lambda_j = c_0 \omega^j + c_1 \omega^{2j} + c_2$ for $j=0, 1, 2$

$\lambda_j = c_0 + c_1 + c_2$ for all $j$