Here, we only show the full-dimensional entanglement polytopes, corresponding to genuinely four-qubit entangled quantum states in $$\mathbb C^2 \otimes \mathbb C^2 \otimes \mathbb C^2 \otimes \mathbb C^2$$.

$$\lambda_1^{\max}$$ = 0.75
No. Class Description Vertices Faces Perms.
1 $$L_{0_{7\oplus \bar{1}}}$$ Origin (0.5,0.5,0.5,0.5) replaced by (0.75,0.5,0.5,0.5). 12 13 4
2 $$L_{0_{5\oplus 3}}$$ Vertices (0.5,0.5,0.5,0.5) and (1,0.5,0.5,0.5) missing. 10 13 4
3 $$L_{a_4}$$ ($$a=0$$) Vertices (0.5,1,0.5,0.5), (0.5,0.5,0.5,1), (0.5,0.5,0.5,0.5) missing. 9 14 6
4 $$L_{\text{ab}_3}$$ ($$b=-a$$) All three-partite entangled vertices missing. 8 16 1
5 $$L_{\text{ab}_3}$$ ($$a=b=0$$) W-state. All three- and four-partite entangled vertices missing. 7 9 1
6 $$L_{a_2b_2}$$ ($$b = -a$$) Vertices (0.5,1,0.5,0.5), (0.5,0.5,0.5,1) missing. 10 14 6
7 $$G_{\text{abcd}}$$ (generic) Generic polytope. 12 12 1