P1 x P2 x P3 – Fano fourfolds

family	bundle	$\mathrm{h}^{1,1}$	$\mathrm{h}^{1,2}$	$\mathrm{h}^{1,3}$	$\mathrm{h}^{2,2}$	$\mathrm{h}^0(X, \omega_X^\vee)$	$\operatorname{vol}(X) = \mathrm{c}_1^4$	$\chi(X, \mathrm{T}_X)$
3-352-75-a	$E^{ω_{2} + ω_{4}} \oplus E^{ω_{1} + ω_{4}}$ E^(w2 + w4) + E^(w1 + w4)	3	0	0	5	75	352	8
3-176-42-a	$E^{ω_{2} + ω_{4}} \oplus E^{ω_{1} + 2 ω_{4}}$ E^(w2 + w4) + E^(w1 + 2w4)	3	1	0	5	42	176	-4
3-176-42-b	$E^{ω_{2} + 2 ω_{4}} \oplus E^{ω_{1} + ω_{4}}$ E^(w2 + 2w4) + E^(w1 + w4)	3	0	0	12	42	176	-10
3-208-48-b	$E^{2 ω_{2} + ω_{4}} \oplus E^{ω_{1} + ω_{4}}$ E^(2w2 + w4) + E^(w1 + w4)	3	0	0	8	48	208	-4
3-378-80-a	$E^{ω_{2} + ω_{4}} \oplus E^{ω_{1} + ω_{2}}$ E^(w2 + w4) + E^(w1 + w2)	3	0	0	4	80	378	10
3-208-48-d	$E^{ω_{2} + ω_{4}} \oplus E^{ω_{1} + ω_{2} + ω_{4}}$ E^(w2 + w4) + E^(w1 + w2 + w4)	3	0	0	10	48	208	-6
3-208-48-e	$E^{ω_{2} + 2 ω_{4}} \oplus E^{ω_{1} + ω_{2}}$ E^(w2 + 2w4) + E^(w1 + w2)	3	0	0	12	48	208	-8
3-74-22-b	$E^{ω_{2} + ω_{4}} \oplus E^{ω_{1} + ω_{2} + 2 ω_{4}}$ E^(w2 + w4) + E^(w1 + w2 + 2w4)	3	0	4	48	22	74	-36
3-80-23-b	$E^{ω_{2} + 2 ω_{4}} \oplus E^{ω_{1} + ω_{2} + ω_{4}}$ E^(w2 + 2w4) + E^(w1 + w2 + w4)	3	0	1	30	23	80	-26
3-62-20-a	$E^{ω_{2} + 3 ω_{4}} \oplus E^{ω_{1} + ω_{2}}$ E^(w2 + 3w4) + E^(w1 + w2)	3	0	0	36	20	62	-38
3-86-24-a	$E^{2 ω_{2} + ω_{4}} \oplus E^{ω_{1} + 2 ω_{4}}$ E^(2w2 + w4) + E^(w1 + 2w4)	3	1	0	17	24	86	-16
3-68-21-a	$E^{2 ω_{2} + 2 ω_{4}} \oplus E^{ω_{1} + ω_{4}}$ E^(2w2 + 2w4) + E^(w1 + w4)	3	0	3	48	21	68	-40

Fano fourfolds of type A beta