P1 x P1 x P2 x P3 – Fano fourfolds

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
4-140-35-a	$E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{2} + ω_{3} + ω_{5}}$ E^(w4 + w5) + E^(w1 + w2 + w3 + w5)	4	0	1	24	35	140	-17
4-152-37-a	$(E^{ω_{3} + ω_{5}})^{\oplus 2} \oplus E^{ω_{1} + ω_{2} + ω_{5}}$ 2 copies of E^(w3 + w5) + E^(w1 + w2 + w5)	4	0	0	12	37	152	-6
4-272-60-a	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{2} + ω_{5}} \oplus E^{ω_{1} + ω_{5}}$ E^(w3 + w5) + E^(w2 + w5) + E^(w1 + w5)	4	0	0	7	60	272	4
4-304-66-b	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{2} + ω_{5}} \oplus E^{ω_{1} + ω_{3}}$ E^(w3 + w5) + E^(w2 + w5) + E^(w1 + w3)	4	0	0	7	66	304	6
4-146-36-c	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{2} + ω_{5}} \oplus E^{ω_{1} + ω_{3} + ω_{5}}$ E^(w3 + w5) + E^(w2 + w5) + E^(w1 + w3 + w5)	4	0	0	15	36	146	-10
4-146-36-d	$E^{ω_{3} + ω_{5}} \oplus E^{ω_{2} + 2 ω_{5}} \oplus E^{ω_{1} + ω_{3}}$ E^(w3 + w5) + E^(w2 + 2w5) + E^(w1 + w3)	4	1	0	10	36	146	-6
4-260-58-a	$E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{2} + ω_{5}}$ E^(w4 + w5) + E^(w1 + w2 + w5)	4	0	0	6	58	260	3
4-140-35-b	$E^{ω_{3} + 2 ω_{5}} \oplus E^{ω_{2} + ω_{5}} \oplus E^{ω_{1} + ω_{3}}$ E^(w3 + 2w5) + E^(w2 + w5) + E^(w1 + w3)	4	0	0	16	35	140	-12
4-146-36-e	$E^{2 ω_{3} + ω_{5}} \oplus E^{ω_{2} + ω_{5}} \oplus E^{ω_{1} + ω_{5}}$ E^(2w3 + w5) + E^(w2 + w5) + E^(w1 + w5)	4	0	0	13	36	146	-8
4-304-66-c	$E^{ω_{4} + ω_{5}} \oplus E^{ω_{1} + ω_{2} + ω_{3}}$ E^(w4 + w5) + E^(w1 + w2 + w3)	4	0	0	6	66	304	7

Fano fourfolds of type A beta