$4PPL+1LLL+1PLL$ has degree $456$

This is a minimal problem for three calibrated views. Here is a random instance:

Image data in $(\mathbb{P}^{2} \times \mathbb{P}^{2} \times (\mathbb{P}^{2})^{\vee})^{\times 4} \times ((\mathbb{P}^{2})^{\vee} \times (\mathbb{P}^{2})^{\vee} \times (\mathbb{P}^{2})^{\vee}) \times (\mathbb{P}^{2} \times (\mathbb{P}^{2})^{\vee} \times (\mathbb{P}^{2})^{\vee})$.

456 complex solutions in $a,b,c,d,e,f,g,h,t_{2,1},t_{2,2},t_{2,3},t_{3,1},t_{3,2},t_{3,3}$ coordinates.