Fano fourfolds of type A beta

zero loci on products of type A Grassmannians and flag varieties

family description ambient index $\mathrm{h}^{1,1}$ $\mathrm{h}^{1,2}$ $\mathrm{h}^{1,3}$ $\mathrm{h}^{2,2}$ $\mathrm{h}^0(X, \omega_X^\vee)$ $\operatorname{vol}(X) = \mathrm{c}_1^4$ $\chi(X, \mathrm{T}_X)$ $\mathrm{c}_1^4$ $\mathrm{c}_1^2\mathrm{c}_2$ $\mathrm{c}_2^2$ $\mathrm{c}_1\mathrm{c}_3$ $\mathrm{c}_4$
1-625-126-a

Projective four-space $\mathbb P^4$

 ℙ4P4 5 1 0 0 1 126 625 24 625 250 100 50 5
1-512-105-a

A smooth quadric fourfold in $\mathbb P^5$

 ℙ5P5 4 1 0 0 2 105 512 15 512 224 98 48 6
1-405-85-a

The del Pezzo fourfold of degree $5$, a codimension-two linear section of $\operatorname{Gr}(2,5)$

 Gr(2, 5) 3 1 0 0 2 85 405 8 405 198 97 48 6
1-324-70-a

A smooth complete intersection of two quadrics in $\mathbb P^6$

 ℙ6P6 3 1 0 0 8 70 324 -4 324 180 100 36 12
1-288-63-a

A smooth hyperplane section of the adjoint $G_2$ fivefold

 Gr(2, 7) 2 1 0 0 2 63 288 1 288 168 98 48 6
1-256-57-a

A codimension-two linear section of $\operatorname{LG}(3,6)$

 Gr(3, 6) 2 1 0 0 4 57 256 -3 256 160 100 44 8
1-243-55-a

A smooth cubic fourfold in $\mathbb P^5$

 ℙ5P5 3 1 0 1 21 55 243 -20 243 162 108 18 27
1-224-51-a

The genus-eight Mukai fourfold, a codimension-four linear section of $\operatorname{Gr}(2,6)$

 Gr(2, 6) 2 1 0 0 8 51 224 -9 224 152 104 36 12
1-192-45-a

The genus-seven Mukai fourfold, a codimension-six linear section of the spinor tenfold

 Gr(2, 5) 2 1 0 0 12 45 192 -15 192 144 108 28 16
1-160-39-a

An ordinary Gushel–Mukai fourfold, a hyperplane and quadric section of $\operatorname{Gr}(2,5)$

 Gr(2, 5) 2 1 0 1 22 39 160 -24 160 136 116 16 28
1-128-33-a

A smooth complete intersection of three quadrics in $\mathbb P^7$

 ℙ7P7 2 1 0 3 38 33 128 -36 128 128 128 0 48
1-96-27-a

A smooth complete intersection of a quadric and a cubic in $\mathbb P^6$

 ℙ6P6 2 1 0 8 70 27 96 -55 96 120 150 -24 90
1-72-21-a

Küchle’s fourfold of type (c3)

 Gr(3, 7) 1 1 0 0 15 21 72 -18 72 96 135 22 19
1-66-20-a — Gr(3, 7) 1 1 0 1 24 20 66 -25 66 96 140 12 30
1-64-21-a

A smooth quartic fourfold in $\mathbb P^5$

 ℙ5P5 2 1 0 21 142 21 64 -90 64 112 196 -64 188
1-61-19-a

A codimension-two linear section of the bisymplectic Grassmannian $\operatorname{I}_2\operatorname{Gr}(3,7)$

 Gr(3, 7) 1 1 0 2 30 19 61 -28 61 94 145 8 38
1-57-18-a

Küchle’s fourfold of type (b11)

 Gr(2, 8) 1 1 0 2 31 18 57 -28 57 90 150 6 39
1-56-18-a

A codimension-three linear section of $\operatorname{OGr}(2,7)$

 Gr(2, 7) 1 1 0 3 38 18 56 -33 56 92 152 0 48
1-42-15-a — Gr(2, 6) 1 1 0 6 57 15 42 -42 42 84 171 -14 73
1-42-15-b

A codimension-five linear section of $\operatorname{Gr}(3,6)$, Küchle’s fourfold of type (c1)

 Gr(3, 6) 1 1 0 5 52 15 42 -40 42 84 168 -12 66
1-36-14-a

A smooth quadric section of the adjoint $G_2$ fivefold

 Gr(2, 7) 1 1 0 14 100 14 36 -62 36 84 196 -36 132
1-33-13-a

A codimension-two linear section of the zero locus of $\mathcal U^\vee(1)$ on $\operatorname{Gr}(2,6)$, Küchle’s fourfold of type (b5)

 Gr(2, 6) 1 1 0 8 70 13 33 -48 33 78 185 -24 90
1-32-13-a

A hyperplane and quadric section of $\operatorname{LG}(3,6)$, Küchle’s fourfold of type (c2)

 Gr(3, 6) 1 1 0 14 100 13 32 -61 32 80 200 -36 132
1-28-12-a

A quadric section of a codimension-three linear section of $\operatorname{Gr}(2,6)$, Küchle’s fourfold of type (b6)

 Gr(2, 6) 1 1 0 15 106 12 28 -63 28 76 208 -40 140
1-20-10-a

An intersection of two quadrics in $\operatorname{Gr}(2,5)$, Küchle’s fourfold of type (b2)

 Gr(2, 5) 1 1 0 20 132 10 20 -72 20 68 232 -52 176
1-16-9-a

A smooth complete intersection of four quadrics in $\mathbb P^8$

 ℙ8P8 1 1 0 27 166 9 16 -84 16 64 256 -64 224
1-15-9-a

A hyperplane and cubic section of $\operatorname{Gr}(2,5)$, Küchle’s fourfold of type (b1)

 Gr(2, 5) 1 1 0 41 232 9 15 -109 15 66 291 -84 318
1-12-8-a

A smooth complete intersection of two quadrics and a cubic in $\mathbb P^7$

 ℙ7P7 1 1 0 42 236 8 12 -108 12 60 300 -84 324
1-9-7-a

A smooth complete intersection of two cubics in $\mathbb P^6$

 ℙ6P6 1 1 0 49 267 7 9 -116 9 54 324 -90 369
1-8-7-a

A smooth complete intersection of a quadric and a quartic in $\mathbb P^6$

 ℙ6P6 1 1 0 77 394 7 8 -160 8 56 392 -120 552
1-5-6-a

A smooth quintic fourfold in $\mathbb P^5$

 ℙ5P5 1 1 0 120 581 6 5 -216 5 50 500 -150 825
2-544-111-a

Blow-up of $\mathbb P^4$ at a point

 Fl(1, 2, 5) 1 2 0 0 2 111 544 20 544 232 96 56 8
2-513-105-a

Blow-up of $\mathbb P^4$ along a line

 ℙ2P2 × ℙ4P4 1 2 0 0 3 105 513 18 513 222 100 54 9
2-513-105-b

The projective bundle $\mathbb P_{\mathbb P^2}(\mathcal O\oplus\mathcal O(-1)^{\oplus2})$

 ℙ2P2 × Gr(2, 5) 1 2 0 0 3 105 513 18 513 222 100 54 9
2-512-105-a — ℙ3P3 × ℙ1P1 2 2 0 0 2 105 512 18 512 224 96 56 8
2-512-105-b

Blow-up of $\mathbb P^4$ along a plane

 ℙ1P1 × ℙ4P4 1 2 0 0 2 105 512 18 512 224 96 56 8
2-486-100-a — ℙ2P2 × ℙ2P2 3 2 0 0 3 100 486 16 486 216 99 54 9
2-480-99-a

The projective bundle $\mathbb P_{Q^3}(\mathcal O\oplus\mathcal O(-1))$ over a smooth quadric threefold

 Fl(1, 2, 6) × ℙ4P4 2 2 0 0 2 99 480 16 480 216 96 56 8
2-433-90-a

Blow-up of $\mathbb P^4$ along a smooth conic

 Fl(1, 3, 5) 1 2 0 0 3 90 433 13 433 202 100 54 9
2-432-90-a

Blow-up of a smooth quadric fourfold along a plane

 Fl(1, 2, 4) 1 2 0 0 3 90 432 12 432 204 97 54 9
2-432-90-b — ℙ4P4 × ℙ1P1 1 2 0 0 2 90 432 13 432 204 96 56 8
2-432-90-c — Fl(2, 4, 7) 1 2 0 0 3 90 432 12 432 204 97 54 9
2-432-90-d

A smooth divisor of bidegree $(1,1)$ in $\mathbb P^2\times\mathbb P^3$

 ℙ2P2 × ℙ3P3 1 2 0 0 3 90 432 12 432 204 97 54 9
2-431-90-a

Blow-up of a smooth quadric fourfold at a point

 Fl(1, 2, 6) 1 2 0 0 3 90 431 11 431 206 94 54 9
2-416-87-a

Blow-up of a smooth quadric fourfold along a line

 Fl(1, 3, 6) × ℙ3P3 2 2 0 0 4 87 416 10 416 200 98 52 10
2-384-81-a

The complete isotropic flag variety $\operatorname{Sp}_4/B$

 Fl(1, 3, 5) 2 2 0 0 2 81 384 10 384 192 96 56 8
2-378-80-a

Blow-up of a smooth quadric fourfold along a quadric surface

 ℙ1P1 × Gr(2, 4) 1 2 0 0 4 80 378 7 378 192 96 52 10
2-352-75-a

Small resolution of a determinantal fourfold of degree $7$ in $\operatorname{Gr}(2,6)$

 ℙ3P3 × Gr(2, 6) 1 2 0 0 6 75 352 4 352 184 100 48 12
2-352-75-b — ℙ2P2 × Gr(2, 6) 1 2 0 0 4 75 352 6 352 184 98 52 10
2-352-75-c — Fl(2, 3, 5) 1 2 0 0 3 75 352 7 352 184 97 54 9
2-352-75-d

Blow-up of a smooth quadric fourfold along a smooth conic

 ℙ2P2 × ℙ2P2 × Gr(2, 4) 2 2 0 0 4 75 352 6 352 184 98 52 10
2-351-75-a

Blow-up of $\mathbb P^4$ along a smooth cubic scroll

 ℙ2P2 × ℙ4P4 1 2 0 0 3 75 351 6 351 186 94 54 9
2-325-70-a — Fl(2, 3, 5) 1 2 0 0 4 70 325 4 325 178 97 52 10
2-320-69-a — Fl(1, 2, 7) 1 2 2 0 2 69 320 4 320 176 96 48 0
2-320-69-b — ℙ2P2 × ℙ2P2 × ℙ4P4 2 2 0 0 4 69 320 4 320 176 98 52 10
2-320-69-c — Fl(1, 2, 5) 1 2 0 0 4 69 320 4 320 176 98 52 10
2-320-69-d — Gr(2, 6) 2 2 0 0 6 69 320 2 320 176 100 48 12
2-305-66-a

Blow-up of $\mathbb P^4$ along an elliptic quartic curve

 Fl(1, 3, 7) 1 2 1 0 3 66 305 4 305 170 100 50 5
2-304-66-a — ℙ4P4 × ℙ6P6 1 2 0 0 6 66 304 1 304 172 100 48 12
2-297-65-a

Blow-up of $\mathbb P^4$ along a del Pezzo surface of degree $4$

 ℙ1P1 × ℙ4P4 1 2 0 0 7 65 297 -2 297 174 96 46 13
2-292-64-a

Blow-up of a smooth quadric fourfold along a del Pezzo surface of degree $4$

 Fl(1, 2, 7) 1 2 0 0 8 64 292 -3 292 172 98 44 14
2-288-63-a — ℙ2P2 × Gr(2, 5) 1 2 0 0 4 63 288 2 288 168 98 52 10
2-277-61-a

Blow-up of the degree-$5$ del Pezzo fourfold along a smooth conic

 Fl(1, 3, 5) 1 2 0 0 4 61 277 1 277 166 97 52 10
2-273-60-a

Blow-up of $\mathbb P^4$ along a rational normal quartic curve

 Fl(1, 3, 5) 1 2 0 0 3 60 273 3 273 162 100 54 9
2-272-60-a

Blow-up of a smooth quadric fourfold along a balanced rational normal quartic scroll

 ℙ5P5 × Gr(2, 4) 1 2 0 0 4 60 272 1 272 164 98 52 10
2-272-60-b — ℙ3P3 × ℙ6P6 1 2 0 0 9 60 272 -4 272 164 103 42 15
2-272-60-c — Fl(1, 3, 5) × Gr(2, 4) 1 2 0 0 4 60 272 1 272 164 98 52 10
2-272-60-d — ℙ2P2 × ℙ7P7 1 2 0 0 10 60 272 -5 272 164 104 40 16
2-272-60-e

Blow-up of $\mathbb P^4$ along a projected Veronese surface

 Fl(1, 2, 5) 1 2 0 0 2 60 272 3 272 164 96 56 8
2-272-60-f — ℙ4P4 × ℙ6P6 1 2 0 0 2 60 272 3 272 164 96 56 8
2-272-60-g — Fl(1, 5, 8) 1 2 0 0 2 60 272 3 272 164 96 56 8
2-272-60-h — ℙ4P4 × Gr(2, 4) 1 2 0 0 4 60 272 1 272 164 98 52 10
2-270-60-a

A smooth divisor of bidegree $(2,1)$ in $\mathbb P^2\times\mathbb P^3$

 ℙ3P3 × Gr(2, 7) 1 2 0 0 3 60 270 0 270 168 91 54 9
2-270-60-b — ℙ2P2 × ℙ3P3 1 2 0 0 3 60 270 0 270 168 91 54 9
2-256-57-a — ℙ2P2 × ℙ2P2 × ℙ3P3 2 2 0 0 10 57 256 -6 256 160 104 40 16
2-256-57-b — Fl(2, 4, 8) 2 2 2 0 2 57 256 0 256 160 96 48 0
2-244-55-a

Blow-up of $\mathbb P^4$ along a Castelnuovo quintic surface

 ℙ4P4 × ℙ6P6 1 2 0 0 10 55 244 -8 244 160 100 40 16
2-240-54-a

Blow-up of a smooth quadric fourfold along a del Pezzo surface of degree $5$

 Fl(1, 2, 4) 1 2 0 0 7 54 240 -4 240 156 101 46 13
2-240-54-b — ℙ2P2 × ℙ6P6 1 2 0 0 10 54 240 -7 240 156 104 40 16
2-240-54-c

Blow-up of the degree-$5$ del Pezzo fourfold along a del Pezzo surface of degree $5$

 Fl(3, 4, 7) 1 2 0 0 7 54 240 -4 240 156 101 46 13
2-240-54-d — ℙ3P3 × ℙ5P5 1 2 0 0 7 54 240 -4 240 156 101 46 13
2-240-54-e — Fl(1, 3, 5) 1 2 0 0 2 54 240 1 240 156 96 56 8
2-240-54-f — Fl(1, 2, 6) 1 2 5 0 2 54 240 -4 240 156 96 36 -12
2-240-54-g — ℙ1P1 × Gr(2, 5) 1 2 0 0 7 54 240 -4 240 156 101 46 13
2-225-51-a

A small resolution of a fourfold obtained from a bisymplectic Grassmannian

 Fl(2, 4, 7) 1 2 0 0 5 51 225 -2 225 150 102 50 11
2-225-51-b

Blow-up of $\mathbb P^4$ along an elliptic normal quintic curve

 ℙ4P4 × ℙ4P4 1 2 1 0 3 51 225 -1 225 150 100 50 5
2-224-51-a

Blow-up of a cubic fourfold singular along a line

 ℙ3P3 × ℙ5P5 1 2 0 0 14 51 224 -12 224 152 108 32 20
2-224-51-b

Blow-up of $\mathbb P^4$ along a non-normal projected del Pezzo surface of degree $5$

 Fl(1, 3, 5) 1 2 0 0 7 51 224 -5 224 152 101 46 13
2-224-51-c — Fl(1, 3, 5) 1 2 0 0 3 51 224 -1 224 152 97 54 9
2-216-50-a — ℙ3P3 × Gr(2, 6) 1 2 0 0 10 50 216 -11 216 156 96 40 16
2-216-50-b — ℙ3P3 × ℙ8P8 1 2 0 0 10 50 216 -11 216 156 96 40 16
2-211-49-a — Fl(1, 2, 6) 1 2 0 1 21 49 211 -19 211 154 106 26 29
2-209-48-a

Blow-up of a codimension-two linear section of $\operatorname{LG}(3,6)$ along a quadric surface

 Fl(2, 3, 6) 1 2 0 0 6 48 209 -4 209 146 103 48 12
2-208-48-a

Blow-up of a smooth quadric fourfold along a del Pezzo surface of degree $2$

 ℙ2P2 × Gr(2, 4) 1 2 0 0 10 48 208 -9 208 148 104 40 16
2-208-48-b — ℙ2P2 × ℙ5P5 1 2 0 0 10 48 208 -9 208 148 104 40 16
2-196-46-a — ℙ3P3 × ℙ6P6 1 2 0 0 10 46 196 -11 196 148 100 40 16
2-194-45-a

Blow-up of a smooth quadric fourfold along a smooth elliptic scroll of degree $6$

 Fl(1, 3, 6) 1 2 1 0 4 45 194 -3 194 140 104 48 6
2-194-45-b

Blow-up of a smooth quadric fourfold along a non-normal sextic surface

 Fl(1, 5, 7) 1 2 0 0 7 45 194 -5 194 140 107 46 13
2-193-45-a — Fl(2, 3, 6) 1 2 0 0 9 45 193 -8 193 142 106 42 15
2-193-45-b — Fl(2, 3, 9) 1 2 0 0 15 45 193 -14 193 142 112 30 21
2-192-45-a — ℙ3P3 × Gr(2, 4) 1 2 2 0 2 45 192 -4 192 144 96 48 0
2-192-45-b — Fl(1, 2, 4) 1 2 2 0 2 45 192 -4 192 144 96 48 0
2-192-45-c — ℙ1P1 × ℙ6P6 1 2 0 0 14 45 192 -14 192 144 108 32 20
2-192-45-d — ℙ3P3 × ℙ5P5 1 2 2 0 2 45 192 -4 192 144 96 48 0
2-192-45-e — ℙ2P2 × ℙ5P5 1 2 0 1 22 45 192 -19 192 144 114 24 30
2-192-45-f

Blow-up of $\mathbb P^4$ along a Bordiga sextic surface

 Fl(1, 4, 5) 1 2 0 0 12 45 192 -12 192 144 106 36 18
2-192-45-g — Fl(1, 3, 5) 1 2 2 0 2 45 192 -4 192 144 96 48 0
2-192-45-h — Fl(2, 3, 9) 1 2 0 0 14 45 192 -14 192 144 108 32 20
2-188-44-a

Blow-up of a hyperplane section of the adjoint $G_2$ fivefold along a del Pezzo surface of degree $6$

 Fl(1, 2, 7) 1 2 0 0 6 44 188 -5 188 140 104 48 12
2-188-44-b — Fl(1, 4, 6) 1 2 0 0 6 44 188 -5 188 140 104 48 12
2-178-42-a

Blow-up of a hyperplane section of the adjoint $G_2$ fivefold along a ruled surface over a conic

 Gr(2, 4) × Gr(2, 7) 1 2 0 0 4 42 178 -3 178 136 104 52 10
2-177-42-a

Blow-up of a smooth quadric fourfold along a smooth surface isomorphic to $\mathbb P^2$ blown up at nine points

 Fl(2, 3, 6) 1 2 0 0 12 42 177 -12 177 138 109 36 18
2-177-42-b

Blow-up of $\mathbb P^4$ along a non-normal sextic surface with two improper double points

 Fl(2, 4, 8) 1 2 0 0 11 42 177 -11 177 138 108 38 17
2-176-42-a

A conic bundle over a smooth quadric threefold

 ℙ2P2 × ℙ4P4 1 2 0 0 10 42 176 -11 176 140 104 40 16
2-176-42-b — ℙ3P3 × Gr(2, 4) 1 2 0 0 10 42 176 -11 176 140 104 40 16
2-176-42-c — ℙ3P3 × Fl(1, 4, 6) 1 2 0 0 10 42 176 -11 176 140 104 40 16
2-176-42-d — Fl(2, 4, 8) 1 2 0 0 10 42 176 -11 176 140 104 40 16
2-165-40-a — ℙ2P2 × Gr(2, 5) 1 2 1 0 4 40 165 -7 165 138 97 48 6
2-163-40-a — ℙ3P3 × ℙ5P5 1 2 0 1 23 40 163 -24 163 142 108 22 31
2-163-39-a

Blow-up of $\mathbb P^4$ along an elliptic sextic scroll with three improper double points

 Fl(1, 4, 6) 1 2 1 0 6 39 163 -6 163 130 109 44 8
2-162-39-a

Blow-up of the genus-eight Mukai fourfold along a smooth cubic scroll

 Fl(2, 4, 6) 1 2 0 0 10 39 162 -10 162 132 110 40 16
2-162-39-b — Fl(2, 3, 5) 1 2 0 0 8 39 162 -8 162 132 108 44 14
2-161-39-a — Fl(2, 3, 8) 1 2 0 1 23 39 161 -21 161 134 118 22 31
2-160-39-a — ℙ2P2 × ℙ4P4 1 2 0 1 22 39 160 -21 160 136 114 24 30
2-160-39-b — ℙ1P1 × Gr(2, 4) 1 2 0 1 22 39 160 -21 160 136 114 24 30
2-160-39-c — ℙ1P1 × ℙ5P5 1 2 0 1 22 39 160 -21 160 136 114 24 30
2-160-39-d — Fl(2, 3, 8) 1 2 0 1 22 39 160 -21 160 136 114 24 30
2-160-39-e — Fl(2, 4, 8) 1 2 0 1 22 39 160 -21 160 136 114 24 30
2-160-39-f — ℙ2P2 × Gr(2, 5) 1 2 0 0 7 39 160 -9 160 136 101 46 13
2-157-38-a

Blow-up of a codimension-two linear section of $\operatorname{LG}(3,6)$ along a del Pezzo surface of degree $6$

 Fl(1, 3, 6) 1 2 0 0 8 38 157 -8 157 130 109 44 14
2-147-36-a

Blow-up of the degree-$5$ del Pezzo fourfold along a smooth rational surface of degree $9$

 ℙ6P6 × Gr(2, 5) 1 2 0 0 10 36 147 -10 147 126 113 40 16
2-147-36-b

A degree-$6$ del Pezzo fibration over $\mathbb P^2$

 ℙ2P2 × Gr(2, 8) 1 2 1 0 5 36 147 -6 147 126 108 46 7
2-147-36-c — Fl(2, 3, 5) 1 2 0 0 13 36 147 -13 147 126 116 34 19
2-146-36-a — Fl(1, 4, 6) 1 2 0 0 14 36 146 -15 146 128 114 32 20
2-146-36-b — Gr(2, 4) × Gr(2, 6) 1 2 0 0 10 36 146 -11 146 128 110 40 16
2-146-36-c

Blow-up of $\mathbb P^4$ along a surface

 Fl(1, 3, 7) 1 2 0 0 15 36 146 -16 146 128 115 30 21
2-146-36-d

Blow-up of the genus-seven Mukai fourfold along a quadric surface

 Gr(2, 4) × Gr(2, 5) 1 2 0 0 14 36 146 -15 146 128 114 32 20
2-144-36-a — ℙ3P3 × Gr(2, 7) 1 2 0 0 17 36 144 -20 144 132 111 26 23
2-144-36-b — ℙ1P1 × ℙ5P5 1 2 0 1 28 36 144 -28 144 132 120 12 36
2-144-36-c — Fl(1, 3, 4) 1 2 0 0 17 36 144 -20 144 132 111 26 23
2-141-35-a — ℙ4P4 × ℙ10P10 1 2 0 0 13 35 141 -14 141 126 114 34 19
2-141-35-b — Fl(1, 2, 6) 1 2 0 0 13 35 141 -14 141 126 114 34 19
2-136-34-a

Blow-up of a codimension-two linear section of $\operatorname{LG}(3,6)$ along a del Pezzo surface of degree $4$

 Fl(1, 3, 6) 1 2 0 0 10 34 136 -11 136 124 112 40 16
2-136-34-b

Blow-up of a smooth quadric fourfold along a non-normal surface of degree $8$

 Fl(1, 4, 6) 1 2 0 0 14 34 136 -15 136 124 116 32 20
2-132-34-a — ℙ2P2 × ℙ6P6 1 2 1 0 10 34 132 -16 132 132 100 36 12
2-131-33-a

Blow-up of a smooth quadric fourfold along a non-normal surface of degree $8$

 ℙ5P5 × Gr(2, 5) 1 2 0 0 12 33 131 -13 131 122 115 36 18
2-130-33-a — Fl(2, 3, 5) 1 2 0 1 23 33 130 -22 130 124 121 22 31
2-129-33-a

Blow-up of $\mathbb P^4$ along a minimal elliptic surface of degree $8$

 ℙ4P4 × Gr(2, 7) 1 2 0 2 31 33 129 -28 129 126 124 14 41
2-129-33-b — ℙ3P3 × Gr(2, 7) 1 2 0 1 23 33 129 -23 129 126 118 22 31
2-129-33-c — ℙ4P4 × ℙ10P10 1 2 0 2 31 33 129 -28 129 126 124 14 41
2-128-33-a — ℙ2P2 × Gr(2, 4) 1 2 2 0 6 33 128 -12 128 128 100 40 4
2-128-33-b — ℙ4P4 × Gr(2, 7) 1 2 0 2 30 33 128 -28 128 128 120 16 40
2-128-33-c

A quartic del Pezzo fibration over $\mathbb P^2$

 ℙ2P2 × ℙ5P5 1 2 2 0 6 33 128 -12 128 128 100 40 4
2-128-33-d — ℙ4P4 × ℙ10P10 1 2 0 2 30 33 128 -28 128 128 120 16 40
2-126-32-a — Fl(1, 3, 6) 1 2 0 0 10 32 126 -11 126 120 114 40 16
2-126-32-b

Blow-up of the genus-eight Mukai fourfold along a del Pezzo surface of degree $6$

 Fl(1, 4, 6) 1 2 0 0 12 32 126 -13 126 120 116 36 18
2-126-32-c

Blow-up of a smooth quadric fourfold along a del Pezzo surface of degree $2$

 Gr(2, 4) × Gr(2, 5) 1 2 0 0 10 32 126 -11 126 120 114 40 16
2-126-32-d — ℙ2P2 × Gr(2, 7) 1 2 0 0 10 32 126 -11 126 120 114 40 16
2-124-32-a — Fl(1, 2, 8) 1 2 0 1 28 32 124 -28 124 124 124 12 36
2-118-30-a

Blow-up of a smooth quadric fourfold along a determinantal surface

 ℙ6P6 × Gr(2, 4) 1 2 0 0 13 30 118 -12 118 112 125 34 19
2-116-30-a

Blow-up of $\mathbb P^4$ along a surface

 Fl(1, 3, 5) 1 2 0 0 13 30 116 -14 116 116 119 34 19
2-116-30-b — Fl(1, 3, 5) 1 2 0 0 10 30 116 -11 116 116 116 40 16
2-116-30-c

Blow-up of a smooth quadric fourfold along a determinantal surface

 ℙ6P6 × Gr(2, 4) 1 2 0 0 15 30 116 -16 116 116 121 30 21
2-116-30-d

Blow-up of $\mathbb P^4$ along a smooth rational surface of degree $8$ and sectional genus $6$

 ℙ4P4 × ℙ8P8 1 2 0 0 18 30 116 -19 116 116 124 24 24
2-115-30-a

Blow-up of $\mathbb P^4$ along a surface

 Fl(1, 3, 5) 1 2 0 1 24 30 115 -23 115 118 125 20 32
2-115-30-b

Blow-up of a cubic fourfold along a del Pezzo surface of degree $4$

 Fl(1, 3, 8) 1 2 0 1 27 30 115 -26 115 118 128 14 35
2-114-30-a — ℙ2P2 × Gr(2, 7) 1 2 0 0 17 30 114 -20 114 120 117 26 23
2-114-30-b — Fl(2, 3, 5) 1 2 0 1 24 30 114 -24 114 120 122 20 32
2-114-30-c

Blow-up of a smooth quadric fourfold along a smooth minimal elliptic surface of degree $10$

 ℙ5P5 × ℙ7P7 1 2 0 2 32 30 114 -29 114 120 128 12 42
2-113-30-a

Blow-up of $\mathbb P^4$ along a canonical curve of genus $5$

 ℙ2P2 × ℙ4P4 1 2 5 0 3 30 113 -12 113 122 100 34 -11
2-112-30-a — ℙ2P2 × ℙ4P4 1 2 0 0 18 30 112 -23 112 124 112 24 24
2-112-30-b — ℙ4P4 × Gr(2, 7) 1 2 0 5 52 30 112 -42 112 124 136 -4 68
2-112-30-c — Fl(2, 4, 7) 1 2 0 3 40 30 112 -36 112 124 128 4 52
2-112-30-d — ℙ3P3 × ℙ11P11 1 2 0 3 40 30 112 -36 112 124 128 4 52
2-112-30-e — ℙ2P2 × ℙ3P3 1 2 0 3 40 30 112 -36 112 124 128 4 52
2-112-30-f — ℙ4P4 × ℙ9P9 1 2 0 5 52 30 112 -42 112 124 136 -4 68
2-112-30-g — ℙ1P1 × ℙ4P4 1 2 0 5 52 30 112 -42 112 124 136 -4 68
2-112-30-h — ℙ3P3 × Gr(3, 7) 1 2 0 3 40 30 112 -36 112 124 128 4 52
2-110-29-a — Fl(1, 2, 5) 1 2 0 1 22 29 110 -21 110 116 124 24 30
2-110-29-b — ℙ4P4 × ℙ7P7 1 2 0 1 22 29 110 -21 110 116 124 24 30
2-110-29-c — ℙ3P3 × Gr(2, 5) 1 2 0 0 17 29 110 -19 110 116 121 26 23
2-110-29-d — ℙ3P3 × Gr(2, 5) 1 2 0 0 17 29 110 -19 110 116 121 26 23
2-106-28-a — Gr(2, 4) × Gr(2, 4) 1 2 0 0 15 28 106 -16 106 112 123 30 21
2-104-28-a — ℙ4P4 × ℙ7P7 1 2 0 2 30 28 104 -27 104 116 128 16 40
2-102-27-a

Küchle’s fourfold of type (c7), the blow-up of a cubic fourfold along a Veronese surface

 Gr(3, 8) 1 2 0 1 22 27 102 -19 102 108 132 24 30
2-101-27-a — ℙ5P5 × Gr(2, 4) 1 2 0 1 23 27 101 -21 101 110 130 22 31
2-101-27-b

Blow-up of the degree-$5$ del Pezzo fourfold along a determinantal surface

 ℙ3P3 × Gr(2, 5) 1 2 0 0 15 27 101 -16 101 110 124 30 21
2-100-27-a — ℙ2P2 × Gr(2, 6) 1 2 0 0 16 27 100 -18 100 112 122 28 22
2-100-27-b — ℙ6P6 × Gr(2, 4) 1 2 0 0 18 27 100 -20 100 112 124 24 24
2-100-27-c — ℙ5P5 × Gr(2, 4) 1 2 0 1 24 27 100 -23 100 112 128 20 32
2-99-28-a — ℙ2P2 × ℙ5P5 1 2 1 1 23 28 99 -29 99 126 108 18 27
2-99-27-a — ℙ4P4 × ℙ7P7 1 2 0 3 39 27 99 -33 99 114 136 6 51
2-99-27-b — ℙ2P2 × Gr(2, 6) 1 2 0 1 25 27 99 -25 99 114 126 18 33
2-98-27-a — ℙ3P3 × ℙ9P9 1 2 0 3 40 27 98 -35 98 116 134 4 52
2-96-27-a — ℙ2P2 × ℙ4P4 1 2 5 0 5 27 96 -16 96 120 99 30 -9
2-96-26-a — Fl(1, 3, 5) 1 2 2 0 10 26 96 -13 96 108 120 32 8
2-95-26-a — Fl(1, 3, 5) 1 2 0 1 23 26 95 -22 95 110 128 22 31
2-94-26-a — Fl(1, 2, 5) 1 2 0 1 28 26 94 -28 94 112 130 12 36
2-93-26-a — Fl(1, 2, 7) 1 2 0 2 41 26 93 -39 93 114 138 -6 51
2-92-26-a — Fl(1, 2, 7) 1 2 0 6 60 26 92 -47 92 116 146 -12 78
2-90-25-a — ℙ5P5 × Gr(2, 4) 1 2 0 1 24 25 90 -23 90 108 130 20 32
2-90-25-b — ℙ2P2 × Gr(2, 5) 1 2 0 0 19 25 90 -21 90 108 127 22 25
2-90-25-c — Gr(2, 4) × Gr(2, 4) 1 2 0 1 24 25 90 -23 90 108 130 20 32
2-90-25-d

Blow-up of a hyperplane section of the adjoint $G_2$ fivefold along a K3 surface

 ℙ1P1 × Gr(2, 7) 1 2 0 1 22 25 90 -21 90 108 128 24 30
2-90-24-a — ℙ3P3 × Gr(2, 4) 1 2 0 0 12 24 90 -9 90 96 136 36 18
2-86-24-a — ℙ4P4 × ℙ5P5 1 2 0 1 26 24 86 -24 86 104 136 16 34
2-85-24-a — Fl(1, 3, 5) 1 2 0 2 32 24 85 -28 85 106 137 12 42
2-85-24-b — ℙ2P2 × Gr(2, 5) 1 2 0 0 22 24 85 -24 85 106 131 16 28
2-84-24-a — ℙ3P3 × ℙ7P7 1 2 0 3 40 24 84 -34 84 108 140 4 52
2-83-24-a — ℙ4P4 × ℙ6P6 1 2 0 6 59 24 83 -45 83 110 150 -10 77
2-82-24-a — ℙ2P2 × Gr(2, 6) 1 2 0 3 42 24 82 -38 82 112 136 0 54
2-82-24-b — ℙ4P4 × ℙ6P6 1 2 0 7 64 24 82 -48 82 112 150 -12 84
2-81-24-a — ℙ3P3 × Gr(2, 6) 1 2 0 9 77 24 81 -56 81 114 156 -22 101
2-80-24-a — ℙ2P2 × ℙ3P3 1 2 0 0 29 24 80 -36 80 116 123 2 35
2-80-23-a — Fl(1, 4, 5) 1 2 0 2 30 23 80 -26 80 104 136 16 40
2-80-23-b — ℙ3P3 × ℙ6P6 1 2 0 1 28 23 80 -27 80 104 136 12 36
2-80-23-c

Blow-up of a codimension-two linear section of $\operatorname{LG}(3,6)$ along a K3 surface of degree $16$

 ℙ1P1 × Gr(3, 6) 1 2 0 1 24 23 80 -23 80 104 132 20 32
2-80-23-d — ℙ2P2 × Gr(2, 5) 1 2 0 1 27 23 80 -26 80 104 135 14 35
2-75-22-a — ℙ2P2 × Gr(2, 5) 1 2 0 2 32 22 75 -28 75 102 139 12 42
2-74-22-a — ℙ3P3 × ℙ6P6 1 2 0 5 52 22 74 -40 74 104 150 -4 68
2-74-22-b — ℙ2P2 × Gr(2, 5) 1 2 0 1 30 22 74 -30 74 104 136 8 38
2-70-21-a — ℙ3P3 × Gr(2, 4) 1 2 0 3 40 21 70 -33 70 100 146 4 52
2-70-21-b — Fl(1, 4, 5) 1 2 0 4 46 21 70 -36 70 100 150 0 60
2-70-21-c

Blow-up of the genus-eight Mukai fourfold along a K3 surface of degree $14$

 ℙ1P1 × Gr(2, 6) 1 2 0 1 28 21 70 -27 70 100 138 12 36
2-70-21-d — ℙ2P2 × Gr(2, 5) 1 2 0 3 37 21 70 -30 70 100 143 10 49
2-69-21-a — Fl(1, 3, 5) 1 2 0 5 52 21 69 -40 69 102 151 -4 68
2-68-21-a — ℙ3P3 × ℙ6P6 1 2 0 8 71 21 68 -51 68 104 161 -18 93
2-68-21-b — ℙ2P2 × ℙ8P8 1 2 0 4 50 21 68 -42 68 104 148 -8 64
2-64-20-a — Fl(1, 2, 4) 1 2 0 6 59 20 64 -44 64 100 157 -10 77
2-64-20-b — ℙ2P2 × ℙ7P7 1 2 0 3 44 20 64 -38 64 100 148 -4 56
2-61-20-a — ℙ4P4 × ℙ5P5 1 2 0 15 113 20 61 -74 61 106 184 -46 149
2-60-19-a — ℙ3P3 × Gr(2, 4) 1 2 0 5 52 19 60 -39 60 96 156 -4 68
2-60-19-b — ℙ2P2 × ℙ6P6 1 2 0 2 38 19 60 -34 60 96 148 0 48
2-60-19-c — ℙ1P1 × Gr(2, 5) 1 2 0 1 32 19 60 -31 60 96 144 4 40
2-56-18-a — ℙ2P2 × Gr(2, 4) 1 2 0 4 47 18 56 -36 56 92 157 -2 61
2-56-18-b — ℙ2P2 × Gr(2, 4) 1 2 2 3 36 18 56 -30 56 92 148 4 40
2-55-18-a — ℙ2P2 × ℙ6P6 1 2 0 3 47 18 55 -40 55 94 156 -10 59
2-55-18-b — Fl(1, 4, 5) 1 2 0 7 65 18 55 -46 55 94 166 -14 85
2-54-18-a — ℙ2P2 × ℙ6P6 1 2 0 8 72 18 54 -51 54 96 168 -20 94
2-52-18-a — ℙ3P3 × ℙ5P5 1 2 0 18 126 18 52 -77 52 100 196 -48 168
2-51-18-a — ℙ2P2 × ℙ7P7 1 2 0 13 103 18 51 -70 51 102 180 -42 135
2-51-17-a — ℙ2P2 × ℙ5P5 1 2 0 2 41 17 51 -36 51 90 156 -6 51
2-50-17-a — ℙ2P2 × Gr(2, 4) 1 2 0 7 66 17 50 -47 50 92 168 -16 86
2-50-17-b — ℙ1P1 × Gr(2, 5) 1 2 0 2 42 17 50 -38 50 92 154 -8 52
2-48-17-a — ℙ2P2 × ℙ6P6 1 2 0 8 77 17 48 -57 48 96 171 -30 99
2-46-16-a — ℙ3P3 × ℙ3P3 1 2 0 8 71 16 46 -48 46 88 175 -18 93
2-45-16-a — ℙ2P2 × ℙ5P5 1 2 0 3 51 16 45 -44 45 90 162 -18 63
2-45-16-b — ℙ1P1 × Gr(2, 5) 1 2 0 8 72 16 45 -50 45 90 173 -20 94
2-42-15-a — ℙ2P2 × ℙ4P4 1 2 5 3 35 15 42 -31 42 84 153 -6 27
2-41-15-a — ℙ2P2 × ℙ4P4 1 2 0 10 83 15 41 -54 41 86 184 -26 109
2-40-15-a — ℙ2P2 × ℙ4P4 1 2 0 15 108 15 40 -65 40 88 196 -36 144
2-40-15-b — ℙ1P1 × ℙ7P7 1 2 0 4 58 15 40 -48 40 88 168 -24 72
2-40-15-c — ℙ3P3 × ℙ3P3 1 2 0 16 114 15 40 -68 40 88 200 -40 152
2-38-15-a — ℙ2P2 × ℙ5P5 1 2 0 21 143 15 38 -84 38 92 213 -58 191
2-36-14-a — ℙ1P1 × ℙ6P6 1 2 0 7 72 14 36 -52 36 84 180 -28 92
2-35-14-a — ℙ2P2 × ℙ4P4 1 2 0 16 117 14 35 -71 35 86 204 -46 155
2-30-13-a — ℙ1P1 × ℙ6P6 1 2 0 9 90 13 30 -65 30 84 192 -48 114
2-27-12-a — ℙ1P1 × ℙ5P5 1 2 0 7 79 12 27 -58 27 78 192 -42 99
2-26-12-a — ℙ1P1 × Gr(2, 4) 1 2 0 20 140 12 26 -81 26 80 224 -60 186
2-26-12-b — ℙ2P2 × ℙ3P3 1 2 0 30 185 12 26 -96 26 80 249 -70 251
2-20-11-a — ℙ1P1 × ℙ5P5 1 2 0 22 162 11 20 -98 20 80 240 -88 212
2-17-10-a — ℙ1P1 × ℙ4P4 1 2 0 35 217 10 17 -112 17 74 276 -94 293
3-496-102-a — Fl(1, 2, 7) × ℙ2P2 1 3 0 0 4 102 496 18 496 220 96 60 12
3-486-100-a — Fl(1, 3, 6) 1 3 0 0 4 100 486 18 486 216 98 60 12
3-480-99-a — Fl(1, 2, 5) × ℙ2P2 1 3 0 0 4 99 480 17 480 216 96 60 12
3-464-96-a — Fl(1, 2, 4) × ℙ3P3 1 3 0 0 4 96 464 16 464 212 96 60 12
3-464-96-b — ℙ1P1 × ℙ3P3 × ℙ4P4 1 3 0 0 4 96 464 16 464 212 96 60 12
3-464-96-c — Fl(1, 2, 5) × ℙ6P6 1 3 0 0 4 96 464 16 464 212 96 60 12
3-459-95-a — ℙ1P1 × ℙ2P2 × ℙ4P4 1 3 0 0 4 95 459 16 459 210 97 60 12
3-433-90-a — ℙ2P2 × Fl(2, 3, 5) 1 3 0 0 5 90 433 14 433 202 100 58 13
3-432-90-a — Fl(1, 2, 3, 5) 1 3 0 0 4 90 432 14 432 204 96 60 12
3-432-90-b — ℙ1P1 × ℙ3P3 × ℙ7P7 1 3 0 0 4 90 432 14 432 204 96 60 12
3-432-90-c — ℙ2P2 × ℙ1P1 × ℙ1P1 1 3 0 0 4 90 432 14 432 204 96 60 12
3-431-90-a — Fl(1, 2, 3, 6) 1 3 0 0 3 90 431 14 431 206 92 62 11
3-431-90-b — ℙ1P1 × ℙ3P3 × ℙ4P4 1 3 0 0 3 90 431 14 431 206 92 62 11
3-417-87-a — ℙ2P2 × Fl(1, 3, 5) 1 3 0 0 5 87 417 13 417 198 100 58 13
3-416-87-a — ℙ2P2 × ℙ4P4 × ℙ5P5 1 3 0 0 4 87 416 13 416 200 96 60 12
3-406-85-a — ℙ2P2 × ℙ2P2 × Gr(2, 5) 1 3 0 0 5 85 406 12 406 196 99 58 13
3-405-85-a — ℙ1P1 × ℙ1P1 × ℙ4P4 1 3 0 0 4 85 405 12 405 198 95 60 12
3-401-84-a — ℙ2P2 × ℙ2P2 × ℙ4P4 1 3 0 0 5 84 401 12 401 194 100 58 13
3-400-84-a — Fl(1, 2, 4) × ℙ2P2 1 3 0 0 4 84 400 12 400 196 96 60 12
3-400-84-b — ℙ1P1 × ℙ2P2 × ℙ4P4 1 3 0 0 4 84 400 12 400 196 96 60 12
3-400-84-c — Fl(1, 2, 5) × ℙ4P4 1 3 0 0 4 84 400 12 400 196 96 60 12
3-384-81-a — Fl(1, 2, 6) × ℙ2P2 1 3 0 0 5 81 384 10 384 192 97 58 13
3-384-81-b — ℙ2P2 × ℙ2P2 × Fl(2, 3, 5) 2 3 0 0 4 81 384 11 384 192 96 60 12
3-384-81-c — ℙ2P2 × ℙ3P3 × ℙ5P5 1 3 0 0 5 81 384 10 384 192 97 58 13
3-384-81-d — Fl(1, 2, 3) × ℙ1P1 2 3 0 0 4 81 384 11 384 192 96 60 12
3-383-81-a — Fl(1, 2, 6) × ℙ3P3 1 3 0 0 5 81 383 9 383 194 94 58 13
3-378-80-a — ℙ1P1 × ℙ2P2 × ℙ3P3 1 3 0 0 4 80 378 10 378 192 94 60 12
3-368-78-a — Fl(1, 2, 4) × ℙ2P2 1 3 0 0 5 78 368 9 368 188 97 58 13
3-368-78-b — ℙ1P1 × Fl(1, 2, 6) 1 3 0 0 4 78 368 10 368 188 96 60 12
3-358-76-a — Fl(1, 2, 4) × ℙ2P2 1 3 0 0 5 76 358 9 358 184 99 58 13
3-352-75-a — ℙ1P1 × ℙ2P2 × ℙ3P3 1 3 0 0 5 75 352 8 352 184 97 58 13
3-352-75-b — Fl(1, 2, 3, 4) 1 3 0 0 4 75 352 9 352 184 96 60 12
3-352-75-c — ℙ1P1 × ℙ2P2 × Gr(2, 5) 1 3 0 0 5 75 352 8 352 184 97 58 13
3-350-75-a — ℙ3P3 × Gr(2, 4) 1 3 0 0 4 75 350 7 350 188 90 60 12
3-346-74-a — ℙ1P1 × Fl(1, 2, 6) 1 3 0 0 4 74 346 8 346 184 94 60 12
3-337-72-a — Fl(1, 2, 4, 5) 1 3 0 0 5 72 337 8 337 178 100 58 13
3-336-72-a — Fl(1, 2, 3) × ℙ2P2 1 3 0 0 4 72 336 8 336 180 96 60 12
3-336-72-b — Fl(1, 2, 4) × ℙ4P4 1 3 0 0 6 72 336 6 336 180 98 56 14
3-336-72-c — Fl(1, 2, 5) × ℙ2P2 1 3 0 0 4 72 336 8 336 180 96 60 12
3-336-72-d — ℙ2P2 × ℙ3P3 × ℙ5P5 1 3 0 0 5 72 336 7 336 180 97 58 13
3-336-72-e — ℙ1P1 × ℙ3P3 × ℙ5P5 1 3 0 0 6 72 336 6 336 180 98 56 14
3-330-71-a — ℙ1P1 × Fl(1, 2, 6) 1 3 0 0 6 71 330 5 330 180 96 56 14
3-324-70-a — ℙ1P1 × ℙ1P1 × ℙ3P3 1 3 0 0 4 70 324 6 324 180 92 60 12
3-321-69-a

Blow-up of a special member of family 2-352-75-b along a plane

 ℙ2P2 × Fl(2, 3, 6) 1 3 0 0 5 69 321 7 321 174 100 58 13
3-320-69-a — Fl(1, 2, 3, 4) 1 3 0 0 4 69 320 7 320 176 96 60 12
3-320-69-b — ℙ1P1 × Fl(2, 4, 7) 1 3 0 0 4 69 320 7 320 176 96 60 12
3-319-69-a — Fl(1, 2, 6) × ℙ2P2 1 3 0 0 5 69 319 5 319 178 94 58 13
3-310-67-a

Blow-up of family 2-513-105-a along a Hirzebruch surface $\mathbb F_1$

 ℙ2P2 × Fl(1, 3, 5) 1 3 0 0 5 67 310 6 310 172 99 58 13
3-305-66-a — ℙ2P2 × ℙ2P2 × Gr(2, 5) 1 3 0 0 5 66 305 6 305 170 100 58 13
3-305-66-b

Blow-up of family 2-352-75-c along a Hirzebruch surface $\mathbb F_1$

 Fl(2, 3, 5) × Gr(2, 4) 1 3 0 0 5 66 305 6 305 170 100 58 13
3-304-66-a — ℙ1P1 × Fl(1, 2, 4) 1 3 0 0 6 66 304 4 304 172 98 56 14
3-304-66-b — ℙ2P2 × ℙ2P2 × ℙ4P4 1 3 0 0 5 66 304 5 304 172 97 58 13
3-304-66-c — ℙ1P1 × ℙ2P2 × Gr(2, 4) 1 3 0 0 6 66 304 4 304 172 98 56 14
3-304-66-d — ℙ1P1 × Fl(1, 2, 4) 1 3 0 0 4 66 304 6 304 172 96 60 12
3-303-66-a — Fl(1, 2, 5) × ℙ2P2 1 3 0 0 5 66 303 4 303 174 94 58 13
3-289-63-a

Blow-up of family 2-352-75-d along a Hirzebruch surface $\mathbb F_1$

 ℙ2P2 × Fl(2, 4, 6) 1 3 0 0 6 63 289 4 289 166 101 56 14
3-289-63-b — ℙ3P3 × Fl(2, 4, 6) 1 3 0 0 8 63 289 2 289 166 103 52 16
3-288-63-a — ℙ1P1 × ℙ2P2 × ℙ2P2 1 3 0 0 7 63 288 2 288 168 99 54 15
3-288-63-b — Fl(1, 4, 7) 1 3 0 0 8 63 288 1 288 168 100 52 16
3-288-63-c — ℙ2P2 × Fl(1, 3, 4) 1 3 0 0 7 63 288 2 288 168 99 54 15
3-288-63-d — Fl(1, 2, 5) × ℙ2P2 1 3 0 0 5 63 288 4 288 168 97 58 13
3-288-63-e — ℙ2P2 × ℙ2P2 × ℙ5P5 1 3 0 0 7 63 288 2 288 168 99 54 15
3-288-63-f — ℙ2P2 × ℙ2P2 × Gr(2, 5) 1 3 0 0 7 63 288 2 288 168 99 54 15
3-288-63-g — ℙ1P1 × ℙ3P3 × ℙ4P4 1 3 1 0 4 63 288 4 288 168 96 56 8
3-282-62-a — Fl(1, 2, 3, 6) 1 3 0 0 6 62 282 2 282 168 96 56 14
3-282-62-b — ℙ3P3 × Fl(1, 4, 6) 1 3 0 0 6 62 282 2 282 168 96 56 14
3-282-62-c — ℙ3P3 × Fl(1, 4, 6) 1 3 0 0 6 62 282 2 282 168 96 56 14
3-282-62-d — ℙ1P1 × ℙ3P3 × ℙ5P5 1 3 0 0 6 62 282 2 282 168 96 56 14
3-282-62-e — Fl(1, 2, 7) × ℙ4P4 1 3 0 0 8 62 282 0 282 168 98 52 16
3-274-60-a — Gr(2, 5) × Gr(2, 6) 1 3 0 0 8 60 274 2 274 160 106 52 16
3-273-60-a — ℙ2P2 × Fl(2, 3, 7) 1 3 0 0 7 60 273 2 273 162 102 54 15
3-273-60-b — ℙ2P2 × Fl(2, 3, 7) 1 3 0 0 7 60 273 2 273 162 102 54 15
3-273-60-c — ℙ2P2 × Fl(1, 3, 5) 1 3 0 0 5 60 273 4 273 162 100 58 13
3-273-60-d

Blow-up of family 2-513-105-b along a Hirzebruch surface $\mathbb F_1$

 ℙ2P2 × Fl(2, 3, 5) 1 3 0 0 5 60 273 4 273 162 100 58 13
3-273-60-e — ℙ2P2 × Fl(2, 4, 6) 1 3 0 0 6 60 273 3 273 162 101 56 14
3-273-60-f — Fl(2, 3, 5) × Gr(2, 5) 1 3 0 0 5 60 273 4 273 162 100 58 13
3-272-60-a — Fl(1, 2, 4) × ℙ2P2 1 3 0 0 5 60 272 3 272 164 97 58 13
3-272-60-b — ℙ1P1 × ℙ2P2 × ℙ4P4 1 3 0 0 6 60 272 2 272 164 98 56 14
3-272-60-c — ℙ2P2 × ℙ2P2 × ℙ5P5 1 3 0 0 5 60 272 3 272 164 97 58 13
3-272-60-d — ℙ1P1 × Fl(1, 3, 5) 1 3 0 0 4 60 272 4 272 164 96 60 12
3-272-60-e — ℙ2P2 × Fl(2, 3, 7) 1 3 0 0 6 60 272 2 272 164 98 56 14
3-272-60-f — ℙ1P1 × ℙ3P3 × ℙ4P4 1 3 0 0 4 60 272 4 272 164 96 60 12
3-272-60-g — ℙ1P1 × Fl(1, 2, 4) 1 3 0 0 4 60 272 4 272 164 96 60 12
3-272-60-h — ℙ1P1 × Fl(1, 3, 6) 1 3 0 0 4 60 272 4 272 164 96 60 12
3-267-59-a — Fl(1, 2, 3, 5) 1 3 0 0 5 59 267 3 267 162 98 58 13
3-266-59-a — Fl(1, 2, 3, 6) 1 3 0 0 8 59 266 -1 266 164 98 52 16
3-262-58-a

Blow-up of $\mathbb P^2\times\mathbb P^2$ along a smooth rational curve

 ℙ2P2 × Fl(1, 3, 4) 1 3 0 0 5 58 262 3 262 160 99 58 13
3-261-58-a — Fl(1, 2, 6) × ℙ5P5 1 3 0 0 9 58 261 -2 261 162 100 50 17
3-260-58-a — ℙ4P4 × ℙ6P6 1 3 0 0 8 58 260 -2 260 164 96 52 16
3-260-58-b — ℙ4P4 × Fl(1, 5, 6) 1 3 0 0 8 58 260 -2 260 164 96 52 16
3-260-58-c — Fl(1, 2, 6) × ℙ5P5 1 3 0 0 8 58 260 -2 260 164 96 52 16
3-257-57-a — ℙ2P2 × Fl(2, 3, 5) 1 3 0 0 7 57 257 1 257 158 102 54 15
3-256-57-a — ℙ1P1 × ℙ1P1 × Gr(2, 4) 1 3 0 0 8 57 256 -1 256 160 100 52 16
3-256-57-b — ℙ1P1 × ℙ1P1 × ℙ5P5 1 3 0 0 8 57 256 -1 256 160 100 52 16
3-256-57-c — Fl(1, 4, 6) 1 3 0 0 8 57 256 -1 256 160 100 52 16
3-256-57-d — Fl(1, 2, 4, 6) 1 3 0 0 6 57 256 1 256 160 98 56 14
3-256-57-e — ℙ1P1 × ℙ2P2 × ℙ4P4 1 3 0 0 9 57 256 -2 256 160 101 50 17
3-256-57-f — Fl(1, 2, 4) × ℙ2P2 1 3 0 0 4 57 256 3 256 160 96 60 12
3-256-57-g — ℙ1P1 × ℙ2P2 × ℙ4P4 1 3 0 0 7 57 256 0 256 160 99 54 15
3-256-57-h — Fl(1, 2, 4) × ℙ2P2 1 3 0 0 6 57 256 1 256 160 98 56 14
3-256-57-i — Fl(1, 2, 7) × ℙ3P3 1 3 0 0 10 57 256 -3 256 160 102 48 18
3-256-57-j — ℙ2P2 × ℙ2P2 × ℙ4P4 1 3 0 0 6 57 256 1 256 160 98 56 14
3-256-57-k — ℙ2P2 × Fl(2, 3, 7) 1 3 0 0 9 57 256 -2 256 160 101 50 17
3-256-57-l — Fl(1, 2, 3) × ℙ3P3 1 3 0 0 6 57 256 1 256 160 98 56 14
3-255-57-a — Fl(1, 2, 8) × ℙ2P2 1 3 0 0 11 57 255 -5 255 162 100 46 19
3-251-56-a — ℙ2P2 × Gr(2, 4) × Gr(2, 5) 1 3 0 0 6 56 251 1 251 158 99 56 14
3-249-56-a — ℙ1P1 × ℙ3P3 × ℙ4P4 1 3 0 0 9 56 249 -4 249 162 96 50 17
3-249-56-b — Fl(1, 2, 5) × ℙ7P7 1 3 0 0 9 56 249 -4 249 162 96 50 17
3-249-56-c — ℙ4P4 × Fl(2, 3, 6) 1 3 0 0 9 56 249 -4 249 162 96 50 17
3-241-54-a — Fl(1, 2, 4, 5) 1 3 0 0 7 54 241 0 241 154 102 54 15
3-241-54-b — Fl(2, 3, 7) 1 3 0 0 9 54 241 -2 241 154 104 50 17
3-241-54-c — ℙ2P2 × Fl(2, 3, 5) 1 3 0 0 6 54 241 1 241 154 101 56 14
3-241-54-d — Fl(1, 2, 5) × ℙ3P3 1 3 0 0 7 54 241 0 241 154 102 54 15
3-241-54-e

Blow-up of a special member of family 2-352-75-b along a plane

 ℙ2P2 × Fl(1, 4, 6) 1 3 0 0 5 54 241 2 241 154 100 58 13
3-240-54-a — ℙ1P1 × Fl(1, 3, 4) 1 3 0 0 8 54 240 -2 240 156 100 52 16
3-240-54-b — ℙ3P3 × Fl(2, 3, 6) 1 3 0 0 8 54 240 -2 240 156 100 52 16
3-240-54-c — ℙ3P3 × Fl(1, 4, 6) 1 3 0 0 8 54 240 -2 240 156 100 52 16
3-239-54-a — ℙ2P2 × ℙ2P2 × ℙ4P4 1 3 0 0 5 54 239 0 239 158 94 58 13
3-230-52-a — ℙ3P3 × Fl(1, 4, 6) 1 3 0 0 6 52 230 0 230 152 100 56 14
3-230-52-b — Fl(1, 2, 7) × ℙ2P2 1 3 0 0 10 52 230 -4 230 152 104 48 18
3-225-51-a — ℙ2P2 × Fl(1, 3, 5) 1 3 0 0 10 51 225 -4 225 150 105 48 18
3-225-51-b — ℙ3P3 × Fl(1, 4, 6) 1 3 0 0 11 51 225 -5 225 150 106 46 19
3-225-51-c — ℙ1P1 × Fl(1, 3, 5) 1 3 0 0 9 51 225 -3 225 150 104 50 17
3-225-51-d — ℙ2P2 × Fl(2, 3, 6) 1 3 0 0 11 51 225 -5 225 150 106 46 19
3-225-51-e — ℙ2P2 × Fl(2, 3, 6) 1 3 0 0 8 51 225 -2 225 150 103 52 16
3-225-51-f — ℙ1P1 × Fl(2, 3, 7) 1 3 0 0 9 51 225 -3 225 150 104 50 17
3-224-51-a — ℙ1P1 × ℙ1P1 × ℙ4P4 1 3 0 0 8 51 224 -3 224 152 100 52 16
3-224-51-b — Fl(1, 2, 4) × ℙ2P2 1 3 0 0 11 51 224 -6 224 152 103 46 19
3-224-51-c — ℙ2P2 × ℙ2P2 × ℙ3P3 1 3 0 0 5 51 224 0 224 152 97 58 13
3-224-51-d — Fl(1, 4, 5) 1 3 0 0 8 51 224 -3 224 152 100 52 16
3-224-51-e — ℙ2P2 × ℙ2P2 × Fl(1, 3, 5) 1 3 0 0 5 51 224 0 224 152 97 58 13
3-224-51-f — Fl(1, 2, 6) × ℙ3P3 1 3 0 0 8 51 224 -3 224 152 100 52 16
3-224-51-g — Fl(1, 2, 7) × ℙ2P2 1 3 0 0 11 51 224 -6 224 152 103 46 19
3-224-51-h — ℙ1P1 × Fl(2, 3, 6) 1 3 0 0 8 51 224 -3 224 152 100 52 16
3-224-51-i — ℙ1P1 × Fl(2, 3, 7) 1 3 0 0 8 51 224 -3 224 152 100 52 16
3-220-50-a — ℙ2P2 × ℙ4P4 × ℙ6P6 1 3 0 0 8 50 220 -2 220 148 104 52 16
3-218-50-a — ℙ1P1 × ℙ2P2 × Gr(2, 4) 1 3 0 0 6 50 218 -2 218 152 96 56 14
3-218-50-b — ℙ1P1 × ℙ2P2 × ℙ5P5 1 3 0 0 6 50 218 -2 218 152 96 56 14
3-218-50-c — ℙ2P2 × Gr(2, 4) × Gr(2, 5) 1 3 0 0 6 50 218 -2 218 152 96 56 14
3-213-49-a — Fl(1, 2, 5) × ℙ5P5 1 3 0 0 11 49 213 -7 213 150 102 46 19
3-211-48-a — Fl(1, 2, 4) × ℙ4P4 1 3 0 0 7 48 211 0 211 142 108 54 15
3-211-48-b — ℙ2P2 × Fl(1, 3, 5) 1 3 0 0 7 48 211 0 211 142 108 54 15
3-209-48-a — Fl(1, 2, 4, 5) 1 3 0 0 7 48 209 -2 209 146 102 54 15
3-209-48-b — ℙ1P1 × Fl(2, 3, 5) 1 3 0 0 9 48 209 -4 209 146 104 50 17
3-209-48-c — ℙ2P2 × ℙ2P2 × Gr(2, 6) 1 3 0 0 8 48 209 -3 209 146 103 52 16
3-209-48-d — ℙ2P2 × ℙ3P3 × Gr(2, 5) 1 3 0 0 7 48 209 -2 209 146 102 54 15
3-208-48-a — ℙ1P1 × ℙ2P2 × ℙ4P4 1 3 0 0 6 48 208 -2 208 148 98 56 14
3-208-48-b — ℙ1P1 × ℙ2P2 × ℙ3P3 1 3 0 0 8 48 208 -4 208 148 100 52 16
3-208-48-c — ℙ1P1 × ℙ1P1 × ℙ4P4 1 3 0 0 12 48 208 -8 208 148 104 44 20
3-208-48-d — ℙ1P1 × ℙ2P2 × ℙ3P3 1 3 0 0 10 48 208 -6 208 148 102 48 18
3-208-48-e — ℙ1P1 × ℙ2P2 × ℙ3P3 1 3 0 0 12 48 208 -8 208 148 104 44 20
3-208-48-f — ℙ2P2 × Fl(1, 3, 5) 1 3 0 0 6 48 208 -2 208 148 98 56 14
3-208-48-g — ℙ1P1 × Fl(2, 4, 7) 1 3 0 0 10 48 208 -6 208 148 102 48 18
3-208-48-h — ℙ1P1 × Fl(2, 4, 7) 1 3 0 0 8 48 208 -4 208 148 100 52 16
3-208-48-i — ℙ2P2 × ℙ3P3 × ℙ6P6 1 3 0 0 8 48 208 -4 208 148 100 52 16
3-208-48-j — ℙ2P2 × ℙ3P3 × ℙ7P7 1 3 0 0 10 48 208 -6 208 148 102 48 18
3-208-48-k — ℙ1P1 × ℙ4P4 × ℙ8P8 1 3 0 0 12 48 208 -8 208 148 104 44 20
3-208-48-l — ℙ2P2 × Fl(2, 3, 6) 1 3 0 0 10 48 208 -6 208 148 102 48 18
3-208-48-m — ℙ1P1 × Fl(2, 3, 7) 1 3 0 0 12 48 208 -8 208 148 104 44 20
3-206-48-a — Fl(1, 2, 4) × ℙ2P2 1 3 0 0 5 48 206 -3 206 152 91 58 13
3-204-47-a — ℙ2P2 × ℙ4P4 × Gr(2, 4) 1 3 0 0 7 47 204 -2 204 144 103 54 15
3-203-47-a — ℙ2P2 × ℙ4P4 × ℙ6P6 1 3 0 0 12 47 203 -8 203 146 105 44 20
3-203-47-b — Fl(1, 2, 5) × ℙ4P4 1 3 0 0 9 47 203 -5 203 146 102 50 17
3-203-47-c — Fl(1, 2, 5) × Gr(2, 4) 1 3 0 0 9 47 203 -5 203 146 102 50 17
3-203-47-d — ℙ3P3 × Fl(1, 4, 5) 1 3 0 0 9 47 203 -5 203 146 102 50 17
3-202-47-a — Fl(1, 2, 3, 5) 1 3 0 0 10 47 202 -7 202 148 100 48 18
3-202-47-b — Fl(1, 2, 6) × ℙ3P3 1 3 0 0 16 47 202 -13 202 148 106 36 24
3-202-47-c — ℙ2P2 × ℙ4P4 × Gr(2, 5) 1 3 0 0 10 47 202 -7 202 148 100 48 18
3-199-46-a — ℙ2P2 × Fl(1, 3, 5) 1 3 0 0 8 46 199 -3 199 142 105 52 16
3-199-46-b

Blow-up of family 2-273-60-a along a Hirzebruch surface $\mathbb F_1$

 ℙ2P2 × ℙ4P4 × Gr(2, 4) 1 3 0 0 5 46 199 0 199 142 102 58 13
3-198-46-a — ℙ2P2 × ℙ2P2 × ℙ2P2 1 3 1 0 5 46 198 -2 198 144 99 54 9
3-198-46-b — ℙ2P2 × ℙ4P4 × ℙ5P5 1 3 0 0 10 46 198 -6 198 144 104 48 18
3-195-45-a — ℙ2P2 × ℙ2P2 × ℙ8P8 1 3 0 0 10 45 195 -4 195 138 111 48 18
3-193-45-a — ℙ2P2 × ℙ4P4 × ℙ5P5 1 3 0 0 11 45 193 -7 193 142 106 46 19
3-193-45-b — ℙ1P1 × Fl(2, 3, 5) 1 3 0 0 9 45 193 -5 193 142 104 50 17
3-193-45-c — ℙ2P2 × Fl(1, 3, 5) 1 3 0 0 12 45 193 -8 193 142 107 44 20
3-193-45-d

Blow-up of family 2-432-90-d along an elliptic ruled surface

 ℙ2P2 × ℙ3P3 × Gr(2, 5) 1 3 1 0 5 45 193 -2 193 142 100 54 9
3-192-45-a — Fl(1, 2, 3) × ℙ2P2 1 3 0 0 4 45 192 -1 192 144 96 60 12
3-192-45-b — Fl(1, 2, 3) × ℙ2P2 1 3 0 0 10 45 192 -7 192 144 102 48 18
3-188-44-a — Fl(1, 2, 4) × ℙ3P3 1 3 0 0 8 44 188 -4 188 140 104 52 16
3-188-44-b — Fl(1, 2, 4) × ℙ4P4 1 3 0 0 6 44 188 -2 188 140 102 56 14
3-188-44-c — ℙ1P1 × ℙ5P5 × ℙ6P6 1 3 2 0 8 44 188 -6 188 140 104 44 8
3-188-44-d

Blow-up of family 2-277-61-a along a del Pezzo surface of degree $5$

 ℙ1P1 × Fl(1, 3, 5) 1 3 0 0 9 44 188 -5 188 140 105 50 17
3-188-44-e — ℙ2P2 × ℙ3P3 × ℙ6P6 1 3 0 0 11 44 188 -7 188 140 107 46 19
3-188-44-f — Fl(1, 2, 3, 4) 1 3 0 0 8 44 188 -4 188 140 104 52 16
3-188-44-g — ℙ4P4 × Gr(2, 6) 1 3 0 0 8 44 188 -4 188 140 104 52 16
3-186-44-a — ℙ2P2 × ℙ3P3 × ℙ7P7 1 3 0 0 12 44 186 -10 186 144 102 44 20
3-185-44-a — ℙ1P1 × ℙ2P2 × ℙ4P4 1 3 0 0 9 44 185 -8 185 146 96 50 17
3-183-43-a — ℙ1P1 × Fl(1, 2, 5) 1 3 0 0 7 43 183 -3 183 138 104 54 15
3-183-43-b — ℙ2P2 × Fl(1, 3, 5) 1 3 0 0 9 43 183 -5 183 138 106 50 17
3-183-43-c — ℙ2P2 × ℙ2P2 × Gr(2, 5) 1 3 0 0 8 43 183 -4 183 138 105 52 16
3-183-43-d — ℙ1P1 × ℙ4P4 × ℙ6P6 1 3 0 0 7 43 183 -3 183 138 104 54 15
3-182-43-a — ℙ1P1 × ℙ5P5 × ℙ6P6 1 3 0 0 14 43 182 -11 182 140 108 40 22
3-180-43-a — Fl(1, 2, 5) × ℙ4P4 1 3 0 1 22 43 180 -18 180 144 108 32 32
3-178-42-a — Fl(1, 2, 4) × ℙ2P2 1 3 0 0 9 42 178 -5 178 136 107 50 17
3-178-42-b — Fl(1, 2, 4) × ℙ2P2 1 3 0 0 11 42 178 -7 178 136 109 46 19
3-178-42-c — ℙ2P2 × ℙ2P2 × ℙ7P7 1 3 0 0 12 42 178 -8 178 136 110 44 20
3-178-42-d — ℙ2P2 × ℙ3P3 × ℙ5P5 1 3 0 0 9 42 178 -5 178 136 107 50 17
3-178-42-e — ℙ2P2 × Fl(1, 3, 6) 1 3 0 0 12 42 178 -8 178 136 110 44 20
3-177-42-a — Fl(1, 2, 5) × ℙ3P3 1 3 0 0 13 42 177 -10 177 138 108 42 21
3-177-42-b — ℙ1P1 × ℙ3P3 × Gr(2, 6) 1 3 0 0 13 42 177 -10 177 138 108 42 21
3-177-42-c — ℙ1P1 × ℙ3P3 × ℙ8P8 1 3 0 0 13 42 177 -10 177 138 108 42 21
3-176-42-a — ℙ1P1 × ℙ2P2 × ℙ3P3 1 3 1 0 5 42 176 -4 176 140 97 54 9
3-176-42-b — ℙ1P1 × ℙ2P2 × ℙ3P3 1 3 0 0 12 42 176 -10 176 140 104 44 20
3-176-42-c — ℙ2P2 × ℙ4P4 × ℙ5P5 1 3 0 1 23 42 176 -18 176 140 113 30 33
3-176-42-d — ℙ2P2 × ℙ3P3 × ℙ6P6 1 3 0 0 12 42 176 -10 176 140 104 44 20
3-176-42-e — ℙ1P1 × ℙ2P2 × Fl(1, 3, 5) 1 3 1 0 5 42 176 -4 176 140 97 54 9
3-173-41-a — ℙ2P2 × ℙ3P3 × ℙ5P5 1 3 0 0 15 41 173 -11 173 134 114 38 23
3-173-41-b

Blow-up of family 2-305-66-a along a del Pezzo surface of degree $4$

 ℙ1P1 × Fl(1, 3, 7) 1 3 1 0 9 41 173 -6 173 134 108 46 13
3-172-41-a — ℙ1P1 × ℙ4P4 × ℙ6P6 1 3 0 0 12 41 172 -9 172 136 108 44 20
3-172-41-b — ℙ2P2 × ℙ3P3 × ℙ5P5 1 3 0 0 12 41 172 -9 172 136 108 44 20
3-172-41-c — ℙ2P2 × ℙ3P3 × Gr(2, 4) 1 3 0 0 10 41 172 -7 172 136 106 48 18
3-172-41-d — Fl(1, 2, 3, 4) 1 3 0 0 10 41 172 -7 172 136 106 48 18
3-167-40-a — ℙ1P1 × Fl(1, 2, 5) 1 3 0 0 11 40 167 -8 167 134 108 46 19
3-167-40-b — ℙ1P1 × ℙ3P3 × ℙ7P7 1 3 0 0 11 40 167 -8 167 134 108 46 19
3-166-40-a — ℙ2P2 × Fl(1, 4, 5) 1 3 0 0 14 40 166 -12 166 136 108 40 22
3-166-40-b — Fl(1, 2, 4) × Gr(2, 4) 1 3 0 0 12 40 166 -10 166 136 106 44 20
3-166-40-c — Fl(1, 2, 4) × ℙ5P5 1 3 0 0 12 40 166 -10 166 136 106 44 20
3-164-39-a — ℙ2P2 × Gr(2, 7) 1 3 0 0 12 39 164 -7 164 128 116 44 20
3-163-39-a — ℙ1P1 × Fl(1, 3, 5) 1 3 0 0 9 39 163 -5 163 130 110 50 17
3-162-39-a — ℙ1P1 × ℙ5P5 × Gr(2, 4) 1 3 0 0 10 39 162 -7 162 132 108 48 18
3-162-39-b — Fl(1, 2, 4) × ℙ2P2 1 3 0 0 10 39 162 -7 162 132 108 48 18
3-162-39-c — Fl(1, 2, 5) × ℙ2P2 1 3 0 0 11 39 162 -8 162 132 109 46 19
3-162-39-d — ℙ2P2 × ℙ2P2 × ℙ6P6 1 3 0 0 13 39 162 -10 162 132 111 42 21
3-162-39-e — ℙ2P2 × ℙ3P3 × ℙ4P4 1 3 0 0 10 39 162 -7 162 132 108 48 18
3-162-39-f — ℙ1P1 × Fl(1, 3, 5) 1 3 0 0 8 39 162 -5 162 132 106 52 16
3-162-39-g — ℙ1P1 × ℙ4P4 × Gr(2, 4) 1 3 0 0 10 39 162 -7 162 132 108 48 18
3-161-39-a — ℙ1P1 × ℙ4P4 × ℙ6P6 1 3 0 0 16 39 161 -14 161 134 111 36 24
3-161-39-b — ℙ2P2 × ℙ2P2 × Gr(2, 5) 1 3 0 0 14 39 161 -12 161 134 109 40 22
3-161-39-c — ℙ2P2 × ℙ2P2 × ℙ6P6 1 3 0 0 14 39 161 -12 161 134 109 40 22
3-161-39-d — ℙ1P1 × ℙ2P2 × Gr(2, 6) 1 3 0 0 12 39 161 -10 161 134 107 44 20
3-160-39-a — ℙ1P1 × ℙ1P1 × ℙ3P3 1 3 0 1 22 39 160 -18 160 136 112 32 32
3-160-39-b — ℙ1P1 × ℙ3P3 × Gr(2, 6) 1 3 0 1 22 39 160 -18 160 136 112 32 32
3-160-39-c — ℙ1P1 × ℙ3P3 × Gr(2, 6) 1 3 0 0 16 39 160 -15 160 136 108 36 24
3-160-39-d — ℙ1P1 × ℙ3P3 × ℙ7P7 1 3 0 1 22 39 160 -18 160 136 112 32 32
3-160-39-e — ℙ1P1 × ℙ3P3 × ℙ8P8 1 3 0 0 16 39 160 -15 160 136 108 36 24
3-157-38-a

Blow-up of family 2-192-45-f along a Hirzebruch surface $\mathbb F_1$

 Fl(1, 3, 5) × ℙ3P3 1 3 0 0 14 38 157 -11 157 130 113 40 22
3-156-38-a — ℙ2P2 × ℙ2P2 × ℙ6P6 1 3 0 0 12 38 156 -10 156 132 108 44 20
3-156-38-b — Fl(1, 2, 4) × ℙ4P4 1 3 0 0 12 38 156 -10 156 132 108 44 20
3-152-37-a — ℙ1P1 × Fl(1, 3, 5) 1 3 0 0 8 37 152 -5 152 128 108 52 16
3-151-37-a — Fl(1, 2, 5) × ℙ2P2 1 3 0 0 17 37 151 -15 151 130 114 34 25
3-151-37-b — ℙ2P2 × Fl(1, 4, 5) 1 3 0 0 14 37 151 -12 151 130 111 40 22
3-151-37-c — ℙ1P1 × Fl(1, 2, 6) 1 3 0 0 17 37 151 -15 151 130 114 34 25
3-150-37-a — ℙ1P1 × Fl(1, 2, 6) 1 3 0 1 22 37 150 -18 150 132 114 32 32
3-150-36-a — ℙ2P2 × ℙ2P2 × ℙ4P4 1 3 0 0 10 36 150 -4 150 120 120 48 18
3-149-37-a — ℙ2P2 × ℙ3P3 × ℙ5P5 1 3 0 1 24 37 149 -21 149 134 113 28 34
3-148-36-a — ℙ2P2 × Fl(1, 3, 4) 1 3 0 0 12 36 148 -8 148 124 116 44 20
3-146-36-a — Fl(1, 2, 4) × ℙ2P2 1 3 0 0 14 36 146 -12 146 128 112 40 22
3-146-36-b — ℙ2P2 × ℙ2P2 × Gr(2, 4) 1 3 0 0 12 36 146 -10 146 128 110 44 20
3-146-36-c — ℙ1P1 × ℙ3P3 × ℙ6P6 1 3 0 0 16 36 146 -14 146 128 114 36 24
3-146-36-d — ℙ2P2 × ℙ2P2 × ℙ5P5 1 3 0 0 12 36 146 -10 146 128 110 44 20
3-146-36-e — ℙ2P2 × ℙ2P2 × ℙ5P5 1 3 0 0 14 36 146 -12 146 128 112 40 22
3-145-36-a — Fl(1, 2, 5) × ℙ2P2 1 3 0 1 23 36 145 -19 145 130 116 30 33
3-144-36-a — ℙ1P1 × ℙ2P2 × ℙ2P2 1 3 0 0 16 36 144 -16 144 132 108 36 24
3-144-36-b — ℙ2P2 × ℙ2P2 × ℙ5P5 1 3 0 0 16 36 144 -16 144 132 108 36 24
3-144-36-c — ℙ2P2 × ℙ2P2 × Gr(2, 5) 1 3 0 0 16 36 144 -16 144 132 108 36 24
3-142-35-a

Blow-up of family 2-320-69-d along a smooth cubic surface

 Fl(1, 3, 4) × ℙ3P3 1 3 0 0 13 35 142 -10 142 124 115 42 21
3-142-35-b

Blow-up of family 2-225-51-b along a del Pezzo surface of degree $4$

 ℙ1P1 × ℙ4P4 × ℙ4P4 1 3 1 0 9 35 142 -7 142 124 111 46 13
3-141-35-a — Fl(1, 2, 6) 1 3 0 1 23 35 141 -18 141 126 120 30 33
3-141-35-b — ℙ1P1 × Fl(1, 3, 5) 1 3 0 0 13 35 141 -11 141 126 112 42 21
3-141-35-c — ℙ1P1 × ℙ2P2 × Gr(2, 5) 1 3 0 0 12 35 141 -10 141 126 111 44 20
3-141-35-d — ℙ1P1 × Fl(1, 2, 6) 1 3 5 0 9 35 141 -12 141 126 108 30 -3
3-140-35-a — ℙ1P1 × ℙ3P3 × ℙ6P6 1 3 0 0 16 35 140 -15 140 128 112 36 24
3-136-34-a — Fl(1, 2, 3) × ℙ4P4 1 3 0 0 12 34 136 -10 136 124 112 44 20
3-136-34-b — ℙ2P2 × Fl(1, 3, 4) 1 3 0 0 14 34 136 -12 136 124 114 40 22
3-136-34-c — ℙ1P1 × Fl(1, 2, 4) 1 3 2 0 8 34 136 -8 136 124 108 44 8
3-136-34-d — ℙ1P1 × Fl(1, 2, 4) 1 3 0 0 14 34 136 -12 136 124 114 40 22
3-136-34-e — ℙ1P1 × ℙ3P3 × Gr(2, 4) 1 3 2 0 8 34 136 -8 136 124 108 44 8
3-136-34-f — ℙ1P1 × ℙ3P3 × ℙ5P5 1 3 2 0 8 34 136 -8 136 124 108 44 8
3-136-34-g — ℙ1P1 × ℙ3P3 × ℙ5P5 1 3 0 0 14 34 136 -12 136 124 114 40 22
3-135-34-a

Blow-up of family 2-165-40-a along a del Pezzo surface of degree $5$

 ℙ1P1 × ℙ2P2 × Gr(2, 5) 1 3 1 0 9 34 135 -9 135 126 106 46 13
3-134-34-a — ℙ1P1 × Fl(1, 2, 6) 1 3 0 1 28 34 134 -25 134 128 120 20 38
3-133-34-a — Fl(1, 2, 4) × ℙ4P4 1 3 0 1 25 34 133 -23 133 130 114 26 35
3-131-33-a — ℙ2P2 × ℙ2P2 × ℙ4P4 1 3 0 0 17 33 131 -15 131 122 118 34 25
3-131-33-b — ℙ2P2 × ℙ2P2 × ℙ4P4 1 3 0 0 14 33 131 -12 131 122 115 40 22
3-130-33-a — ℙ2P2 × Fl(1, 3, 4) 1 3 0 0 18 33 130 -17 130 124 116 32 26
3-130-33-b — Fl(1, 2, 4) × ℙ2P2 1 3 0 0 15 33 130 -14 130 124 113 38 23
3-130-33-c — ℙ2P2 × ℙ2P2 × ℙ4P4 1 3 0 0 15 33 130 -14 130 124 113 38 23
3-130-33-d — ℙ1P1 × ℙ2P2 × Gr(2, 5) 1 3 0 0 12 33 130 -11 130 124 110 44 20
3-130-33-e — ℙ1P1 × ℙ2P2 × ℙ7P7 1 3 0 0 18 33 130 -17 130 124 116 32 26
3-130-33-f — ℙ1P1 × ℙ3P3 × ℙ5P5 1 3 0 1 24 33 130 -20 130 124 120 28 34
3-125-32-a — ℙ2P2 × ℙ2P2 × ℙ4P4 1 3 0 1 24 32 125 -20 125 122 121 28 34
3-125-32-b — ℙ1P1 × ℙ3P3 × ℙ5P5 1 3 0 0 21 32 125 -20 125 122 120 26 29
3-124-32-a — Fl(1, 2, 4) × ℙ3P3 1 3 0 0 19 32 124 -19 124 124 115 30 27
3-120-31-a — ℙ1P1 × ℙ3P3 × ℙ4P4 1 3 0 0 16 31 120 -15 120 120 116 36 24
3-120-31-b — ℙ1P1 × ℙ2P2 × ℙ6P6 1 3 0 0 18 31 120 -17 120 120 118 32 26
3-120-31-c — ℙ1P1 × ℙ3P3 × ℙ4P4 1 3 0 1 22 31 120 -18 120 120 120 32 32
3-120-31-d — ℙ1P1 × Fl(1, 2, 4) 1 3 0 1 22 31 120 -18 120 120 120 32 32
3-120-31-e — ℙ5P5 × ℙ7P7 1 3 2 1 22 31 120 -20 120 120 120 24 24
3-119-31-a — ℙ2P2 × ℙ2P2 × ℙ4P4 1 3 0 1 24 31 119 -21 119 122 119 28 34
3-116-30-a — ℙ2P2 × ℙ2P2 × ℙ3P3 1 3 0 0 14 30 116 -12 116 116 118 40 22
3-116-30-b — ℙ2P2 × ℙ2P2 × ℙ3P3 1 3 0 0 17 30 116 -15 116 116 121 34 25
3-115-30-a — ℙ1P1 × ℙ3P3 × ℙ4P4 1 3 0 0 19 30 115 -18 115 118 120 30 27
3-113-30-a — ℙ1P1 × ℙ2P2 × ℙ6P6 1 3 0 2 33 30 113 -28 113 122 124 18 45
3-113-30-b — ℙ1P1 × ℙ2P2 × Gr(2, 5) 1 3 0 2 33 30 113 -28 113 122 124 18 45
3-113-30-c — ℙ1P1 × ℙ3P3 × ℙ5P5 1 3 0 1 30 30 113 -28 113 122 123 16 40
3-110-29-a — ℙ1P1 × ℙ2P2 × Gr(2, 4) 1 3 0 1 24 29 110 -20 110 116 124 28 34
3-110-29-b — ℙ1P1 × ℙ2P2 × Gr(2, 4) 1 3 0 0 18 29 110 -17 110 116 120 32 26
3-110-29-c — ℙ1P1 × ℙ2P2 × ℙ5P5 1 3 0 1 24 29 110 -20 110 116 124 28 34
3-110-29-d — ℙ1P1 × ℙ2P2 × ℙ5P5 1 3 0 0 18 29 110 -17 110 116 120 32 26
3-110-29-e — Fl(1, 2, 3) × ℙ3P3 1 3 0 0 18 29 110 -17 110 116 120 32 26
3-110-29-f — ℙ2P2 × ℙ2P2 × ℙ3P3 1 3 0 1 24 29 110 -20 110 116 124 28 34
3-108-29-a — ℙ1P1 × ℙ2P2 × ℙ6P6 1 3 1 0 16 29 108 -18 108 120 112 32 20
3-105-28-a — ℙ1P1 × ℙ1P1 × Gr(2, 5) 1 3 0 0 17 28 105 -16 105 114 120 34 25
3-104-28-a — ℙ1P1 × Fl(1, 2, 4) 1 3 0 1 27 28 104 -24 104 116 125 22 37
3-104-28-b

Blow-up of family 2-128-33-a along a del Pezzo surface of degree $4$

 ℙ1P1 × ℙ2P2 × Gr(2, 4) 1 3 2 0 12 28 104 -14 104 116 112 36 12
3-104-28-c — ℙ1P1 × ℙ2P2 × ℙ5P5 1 3 0 1 27 28 104 -24 104 116 125 22 37
3-104-28-d — ℙ1P1 × ℙ2P2 × ℙ5P5 1 3 2 0 12 28 104 -14 104 116 112 36 12
3-103-28-a — ℙ1P1 × ℙ3P3 × ℙ4P4 1 3 0 4 47 28 103 -36 103 118 136 6 63
3-102-27-a — ℙ2P2 × ℙ2P2 × ℙ2P2 1 3 0 0 13 27 102 -10 102 108 123 42 21
3-100-27-a — ℙ1P1 × ℙ1P1 × Gr(2, 5) 1 3 0 1 22 27 100 -18 100 112 124 32 32
3-100-27-b — ℙ1P1 × ℙ2P2 × ℙ4P4 1 3 0 1 24 27 100 -20 100 112 126 28 34
3-100-27-c — ℙ1P1 × ℙ2P2 × ℙ4P4 1 3 0 0 18 27 100 -17 100 112 122 32 26
3-100-27-d — ℙ1P1 × Fl(1, 3, 4) 1 3 0 1 26 27 100 -22 100 112 128 24 36
3-99-27-a — ℙ1P1 × ℙ2P2 × ℙ5P5 1 3 0 1 30 27 99 -27 99 114 129 16 40
3-98-27-a — Fl(1, 2, 4) × ℙ2P2 1 3 0 3 41 27 98 -33 98 116 133 10 55
3-95-26-a — ℙ1P1 × ℙ2P2 × ℙ4P4 1 3 0 0 21 26 95 -20 95 110 126 26 29
3-94-26-a — ℙ1P1 × Fl(1, 3, 4) 1 3 0 0 24 26 94 -24 94 112 126 20 32
3-90-25-a — ℙ2P2 × ℙ2P2 × ℙ2P2 1 3 0 2 33 25 90 -26 90 108 135 18 45
3-90-25-b — ℙ4P4 × ℙ6P6 1 3 5 1 22 25 90 -23 90 108 126 12 12
3-89-25-a — ℙ1P1 × ℙ2P2 × ℙ4P4 1 3 5 0 9 25 89 -14 89 110 112 30 -3
3-89-25-b — ℙ1P1 × ℙ2P2 × ℙ4P4 1 3 0 1 30 25 89 -27 89 110 131 16 40
3-88-25-a — ℙ1P1 × ℙ2P2 × ℙ4P4 1 3 0 0 24 25 88 -25 88 112 124 20 32
3-88-25-b — Fl(1, 5, 8) 1 3 1 2 32 25 88 -28 88 112 128 16 40
3-86-24-a — ℙ1P1 × ℙ2P2 × ℙ3P3 1 3 1 0 17 24 86 -16 86 104 127 30 21
3-84-24-a — ℙ1P1 × ℙ1P1 × ℙ6P6 1 3 0 0 24 24 84 -24 84 108 128 20 32
3-84-24-b — Fl(1, 2, 3) × ℙ2P2 1 3 0 3 40 24 84 -31 84 108 138 12 54
3-83-24-a — ℙ1P1 × ℙ2P2 × ℙ4P4 1 3 0 5 54 24 83 -40 83 110 145 0 72
3-81-24-a — ℙ1P1 × ℙ2P2 × ℙ5P5 1 3 1 1 30 24 81 -31 81 114 123 12 36
3-80-23-a — ℙ1P1 × ℙ1P1 × Gr(2, 4) 1 3 2 1 22 23 80 -20 80 104 128 24 24
3-80-23-b — ℙ1P1 × ℙ2P2 × ℙ3P3 1 3 0 1 30 23 80 -26 80 104 136 16 40
3-78-23-a — ℙ1P1 × ℙ2P2 × ℙ4P4 1 3 5 0 12 23 78 -18 78 108 114 24 0
3-74-22-a — ℙ1P1 × ℙ1P1 × Gr(2, 4) 1 3 0 1 32 22 74 -29 74 104 136 12 42
3-74-22-b — ℙ1P1 × ℙ2P2 × ℙ3P3 1 3 0 4 48 22 74 -36 74 104 146 4 64
3-68-21-a — ℙ1P1 × ℙ2P2 × ℙ3P3 1 3 0 3 48 21 68 -40 68 104 146 -4 62
3-66-21-a — Fl(1, 4, 7) 1 3 1 7 66 21 66 -49 66 108 150 -12 84
3-65-20-a — ℙ1P1 × ℙ1P1 × ℙ4P4 1 3 0 0 29 20 65 -28 65 98 140 10 37
3-64-20-a — ℙ1P1 × ℙ1P1 × ℙ4P4 1 3 0 5 54 20 64 -39 64 100 152 0 72
3-63-20-a — ℙ1P1 × ℙ1P1 × ℙ5P5 1 3 0 1 38 20 63 -36 63 102 141 0 48
3-62-20-a — ℙ1P1 × ℙ2P2 × ℙ3P3 1 3 0 0 36 20 62 -38 62 104 138 -4 44
3-60-19-a — ℙ1P1 × ℙ1P1 × ℙ4P4 1 3 5 1 22 19 60 -23 60 96 132 12 12
3-54-18-a — ℙ1P1 × ℙ2P2 × ℙ2P2 1 3 0 9 79 18 54 -52 54 96 171 -18 105
3-53-18-a — ℙ1P1 × ℙ1P1 × ℙ4P4 1 3 0 5 62 18 53 -48 53 98 159 -16 80
3-44-16-a — ℙ1P1 × ℙ1P1 × ℙ3P3 1 3 0 10 88 16 44 -58 44 92 180 -28 116
4-432-90-a — ℙ1P1 × Fl(1, 2, 5) × ℙ2P2 1 4 0 0 6 90 432 15 432 204 96 64 16
4-385-81-a — ℙ2P2 × Fl(2, 3, 7) 1 4 0 0 7 81 385 12 385 190 100 62 17
4-384-81-a — ℙ1P1 × ℙ1P1 × ℙ3P3 × ℙ4P4 1 4 0 0 6 81 384 12 384 192 96 64 16
4-384-81-b — ℙ1P1 × ℙ2P2 × ℙ3P3 × ℙ3P3 1 4 0 0 6 81 384 12 384 192 96 64 16
4-384-81-c — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ1P1 2 4 0 0 6 81 384 12 384 192 96 64 16
4-369-78-a — ℙ2P2 × ℙ2P2 × Fl(2, 3, 5) 1 4 0 0 7 78 369 11 369 186 100 62 17
4-367-78-a — ℙ1P1 × Fl(1, 2, 5) × ℙ2P2 1 4 0 0 5 78 367 11 367 190 92 66 15
4-357-76-a — ℙ1P1 × ℙ1P1 × ℙ3P3 × ℙ4P4 1 4 0 0 6 76 357 10 357 186 95 64 16
4-352-75-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ4P4 1 4 0 0 6 75 352 10 352 184 96 64 16
4-352-75-b — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ3P3 1 4 0 0 6 75 352 10 352 184 96 64 16
4-352-75-c — ℙ1P1 × Fl(1, 3, 6) 1 4 0 0 6 75 352 10 352 184 96 64 16
4-347-74-a — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ4P4 1 4 0 0 6 74 347 10 347 182 97 64 16
4-326-70-a — ℙ2P2 × Fl(1, 3, 6) 1 4 0 0 6 70 326 9 326 176 98 64 16
4-322-69-a — Fl(1, 2, 6) × ℙ4P4 1 4 0 0 8 69 322 8 322 172 104 60 18
4-321-69-a — ℙ1P1 × ℙ2P2 × Fl(2, 3, 5) 1 4 0 0 7 69 321 8 321 174 100 62 17
4-320-69-a — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ3P3 1 4 0 0 7 69 320 7 320 176 97 62 17
4-320-69-b — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ3P3 1 4 0 0 6 69 320 8 320 176 96 64 16
4-320-69-c — Fl(1, 2, 4) × ℙ4P4 1 4 0 0 6 69 320 8 320 176 96 64 16
4-314-68-a — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ3P3 1 4 0 0 6 68 314 7 314 176 94 64 16
4-310-67-a — ℙ1P1 × ℙ2P2 × Fl(1, 3, 5) 1 4 0 0 7 67 310 7 310 172 99 62 17
4-309-67-a — ℙ1P1 × Fl(1, 2, 6) × ℙ3P3 1 4 0 0 8 67 309 5 309 174 97 60 18
4-305-66-a — ℙ2P2 × ℙ2P2 × Fl(1, 3, 5) 1 4 0 0 8 66 305 6 305 170 101 60 18
4-304-66-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ4P4 1 4 0 0 7 66 304 6 304 172 97 62 17
4-304-66-b — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ3P3 1 4 0 0 7 66 304 6 304 172 97 62 17
4-304-66-c — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ3P3 1 4 0 0 6 66 304 7 304 172 96 64 16
4-304-66-d — Fl(1, 2, 5) × ℙ2P2 1 4 0 0 8 66 304 5 304 172 98 60 18
4-303-66-a — Fl(1, 2, 4) × Fl(1, 2, 5) 1 4 0 0 7 66 303 5 303 174 94 62 17
4-299-65-a — ℙ1P1 × Fl(1, 2, 5) × ℙ4P4 1 4 0 0 7 65 299 6 299 170 98 62 17
4-293-64-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ4P4 1 4 0 0 6 64 293 6 293 170 95 64 16
4-290-63-a — Fl(1, 2, 4) × ℙ2P2 × ℙ2P2 1 4 0 0 8 63 290 6 290 164 104 60 18
4-289-63-a — Fl(1, 2, 4) × ℙ2P2 × ℙ4P4 1 4 0 0 8 63 289 5 289 166 101 60 18
4-288-63-a — ℙ1P1 × Fl(1, 2, 3) × ℙ2P2 1 4 0 0 6 63 288 6 288 168 96 64 16
4-288-63-b — ℙ1P1 × Fl(1, 2, 6) × ℙ2P2 1 4 0 0 7 63 288 5 288 168 97 62 17
4-286-63-a — ℙ2P2 × ℙ3P3 × Gr(2, 4) 1 4 0 0 6 63 286 4 286 172 90 64 16
4-286-63-b — ℙ2P2 × ℙ3P3 × ℙ5P5 1 4 0 0 6 63 286 4 286 172 90 64 16
4-283-62-a — ℙ1P1 × Fl(1, 2, 6) × ℙ2P2 1 4 0 0 8 62 283 4 283 166 99 60 18
4-282-62-a — ℙ1P1 × Fl(1, 2, 5) × ℙ4P4 1 4 0 0 8 62 282 3 282 168 96 60 18
4-282-62-b — ℙ1P1 × ℙ3P3 × Gr(2, 4) 1 4 0 0 8 62 282 3 282 168 96 60 18
4-282-62-c — ℙ1P1 × ℙ3P3 × ℙ5P5 1 4 0 0 8 62 282 3 282 168 96 60 18
4-282-62-d — ℙ1P1 × ℙ3P3 × Fl(1, 4, 5) 1 4 0 0 8 62 282 3 282 168 96 60 18
4-278-61-a — ℙ2P2 × ℙ2P2 × ℙ2P2 × Gr(2, 4) 1 4 0 0 6 61 278 6 278 164 98 64 16
4-277-61-a — Fl(1, 2, 5) × ℙ2P2 × ℙ2P2 1 4 0 0 7 61 277 4 277 166 96 62 17
4-277-61-b — ℙ1P1 × Fl(1, 2, 6) × ℙ2P2 1 4 0 0 8 61 277 3 277 166 97 60 18
4-277-61-c — ℙ1P1 × Fl(1, 2, 3, 5) 1 4 0 0 7 61 277 4 277 166 96 62 17
4-272-60-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ3P3 1 4 0 0 7 60 272 4 272 164 97 62 17
4-272-60-b — Fl(1, 2, 4) × ℙ2P2 1 4 0 0 7 60 272 4 272 164 97 62 17
4-272-60-c — ℙ2P2 × ℙ3P3 × ℙ3P3 1 4 0 0 7 60 272 4 272 164 97 62 17
4-272-60-d — ℙ1P1 × ℙ2P2 × Fl(1, 3, 5) 1 4 0 0 7 60 272 4 272 164 97 62 17
4-272-60-e — ℙ1P1 × ℙ3P3 × Fl(2, 3, 5) 1 4 0 0 7 60 272 4 272 164 97 62 17
4-262-58-a — ℙ2P2 × ℙ2P2 × ℙ3P3 × ℙ3P3 1 4 0 0 9 58 262 2 262 160 101 58 19
4-260-58-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ3P3 1 4 0 0 6 58 260 3 260 164 92 64 16
4-260-58-b — ℙ2P2 × Fl(1, 3, 4) 1 4 0 0 6 58 260 3 260 164 92 64 16
4-257-57-a — ℙ2P2 × ℙ2P2 × ℙ2P2 × ℙ4P4 1 4 0 0 7 57 257 4 257 158 100 62 17
4-257-57-b — ℙ1P1 × ℙ2P2 × Fl(1, 3, 5) 1 4 0 0 9 57 257 2 257 158 102 58 19
4-257-57-c — ℙ1P1 × ℙ2P2 × Fl(2, 3, 5) 1 4 0 0 9 57 257 2 257 158 102 58 19
4-257-57-d — ℙ1P1 × ℙ2P2 × Fl(2, 3, 5) 1 4 0 0 7 57 257 4 257 158 100 62 17
4-256-57-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ3P3 1 4 0 0 8 57 256 2 256 160 98 60 18
4-256-57-b — ℙ2P2 × ℙ2P2 × ℙ4P4 1 4 0 0 6 57 256 4 256 160 96 64 16
4-256-57-c — ℙ2P2 × ℙ2P2 × Fl(1, 3, 4) 1 4 0 0 8 57 256 2 256 160 98 60 18
4-256-57-d — ℙ2P2 × ℙ2P2 × ℙ3P3 × ℙ3P3 1 4 0 0 8 57 256 2 256 160 98 60 18
4-256-57-e — ℙ1P1 × Fl(1, 3, 4) 1 4 0 0 8 57 256 2 256 160 98 60 18
4-256-57-f — ℙ1P1 × ℙ1P1 × Fl(2, 3, 6) 1 4 0 0 8 57 256 2 256 160 98 60 18
4-246-55-a — ℙ1P1 × Fl(1, 2, 4) × ℙ2P2 1 4 0 0 7 55 246 3 246 156 99 62 17
4-246-55-b — ℙ1P1 × Fl(1, 2, 5) × ℙ2P2 1 4 0 0 8 55 246 2 246 156 100 60 18
4-246-55-c — ℙ1P1 × Fl(1, 2, 3, 4) 1 4 0 0 7 55 246 3 246 156 99 62 17
4-246-55-d — ℙ1P1 × ℙ1P1 × Fl(1, 2, 6) 1 4 0 0 8 55 246 2 246 156 100 60 18
4-241-54-a — ℙ1P1 × Fl(1, 2, 5) × ℙ2P2 1 4 0 0 8 54 241 2 241 154 101 60 18
4-240-54-a — ℙ1P1 × ℙ1P1 × Fl(1, 2, 3) 1 4 0 0 6 54 240 3 240 156 96 64 16
4-240-54-b — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ2P2 1 4 0 0 9 54 240 0 240 156 99 58 19
4-240-54-c — ℙ2P2 × Fl(1, 3, 4) 1 4 0 0 6 54 240 3 240 156 96 64 16
4-240-54-d — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ5P5 1 4 0 0 9 54 240 0 240 156 99 58 19
4-240-54-e — ℙ1P1 × ℙ2P2 × Fl(2, 3, 5) 1 4 0 0 9 54 240 0 240 156 99 58 19
4-236-53-a — ℙ1P1 × Fl(1, 2, 4) × ℙ2P2 1 4 0 0 9 53 236 1 236 152 103 58 19
4-236-53-b — ℙ1P1 × Fl(1, 3, 7) 1 4 0 0 9 53 236 1 236 152 103 58 19
4-235-53-a — ℙ1P1 × Fl(1, 2, 5) × ℙ2P2 1 4 0 0 9 53 235 0 235 154 100 58 19
4-235-53-b — ℙ1P1 × ℙ2P2 × Fl(1, 4, 5) 1 4 0 0 9 53 235 0 235 154 100 58 19
4-235-53-c — ℙ1P1 × ℙ1P1 × Fl(1, 2, 6) 1 4 0 0 10 53 235 -1 235 154 101 56 20
4-230-52-a — Fl(1, 2, 3) × Fl(1, 2, 4) 1 4 0 0 8 52 230 1 230 152 100 60 18
4-230-52-b — ℙ1P1 × ℙ2P2 × ℙ2P2 × Gr(2, 4) 1 4 0 0 8 52 230 1 230 152 100 60 18
4-230-52-c — ℙ1P1 × Fl(1, 2, 4) × ℙ2P2 1 4 0 0 8 52 230 1 230 152 100 60 18
4-230-52-d — Fl(1, 2, 5) × Gr(2, 4) 1 4 0 0 10 52 230 -1 230 152 102 56 20
4-230-52-e — Fl(1, 2, 5) × ℙ5P5 1 4 0 0 10 52 230 -1 230 152 102 56 20
4-230-52-f — ℙ1P1 × Fl(1, 2, 3, 4) 1 4 0 0 8 52 230 1 230 152 100 60 18
4-230-52-g — ℙ1P1 × Fl(1, 2, 6) 1 4 0 0 8 52 230 1 230 152 100 60 18
4-230-52-h — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ5P5 1 4 0 0 8 52 230 1 230 152 100 60 18
4-230-52-i — ℙ1P1 × Fl(1, 5, 7) 1 4 0 0 8 52 230 1 230 152 100 60 18
4-230-52-j — Fl(1, 3, 6) × ℙ4P4 1 4 0 0 10 52 230 -1 230 152 102 56 20
4-229-52-a — ℙ1P1 × Fl(1, 2, 5) × ℙ2P2 1 4 0 0 11 52 229 -3 229 154 100 54 21
4-228-51-a — Fl(1, 3, 4) × Gr(2, 4) 1 4 0 0 10 51 228 2 228 144 112 56 20
4-215-49-a — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ4P4 1 4 0 0 11 49 215 -2 215 146 106 54 21
4-215-49-b

Blow-up of family 3-310-67-a along a del Pezzo surface of degree $6$

 ℙ1P1 × ℙ2P2 × Fl(1, 3, 5) 1 4 0 0 9 49 215 0 215 146 104 58 19
4-214-49-a — ℙ1P1 × Fl(1, 2, 4) × ℙ2P2 1 4 0 0 9 49 214 -1 214 148 101 58 19
4-214-49-b — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ4P4 1 4 0 0 9 49 214 -1 214 148 101 58 19
4-214-49-c — ℙ1P1 × ℙ2P2 × Fl(1, 3, 4) 1 4 0 0 10 49 214 -2 214 148 102 56 20
4-214-49-d — ℙ1P1 × ℙ1P1 × ℙ3P3 × ℙ5P5 1 4 0 0 10 49 214 -2 214 148 102 56 20
4-209-48-a — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ4P4 1 4 0 0 9 48 209 -1 209 146 102 58 19
4-209-48-b — ℙ1P1 × ℙ1P1 × ℙ2P2 × Gr(2, 5) 1 4 0 0 10 48 209 -2 209 146 103 56 20
4-209-48-c — ℙ2P2 × Fl(1, 5, 7) 1 4 0 0 10 48 209 -2 209 146 103 56 20
4-209-48-d — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ6P6 1 4 0 0 10 48 209 -2 209 146 103 56 20
4-208-48-a — ℙ2P2 × ℙ4P4 × ℙ6P6 1 4 0 0 12 48 208 -5 208 148 102 52 22
4-204-47-a — ℙ1P1 × ℙ1P1 × Fl(1, 2, 4) 1 4 0 0 8 47 204 0 204 144 102 60 18
4-204-47-b — ℙ1P1 × ℙ1P1 × ℙ3P3 × ℙ4P4 1 4 0 0 10 47 204 -2 204 144 104 56 20
4-204-47-c — ℙ1P1 × ℙ1P1 × ℙ3P3 × ℙ4P4 1 4 0 0 8 47 204 0 204 144 102 60 18
4-204-47-d — Fl(1, 2, 3) × Fl(1, 2, 3) 1 4 0 0 8 47 204 0 204 144 102 60 18
4-203-47-a — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ4P4 1 4 0 0 9 47 203 -2 203 146 100 58 19
4-202-47-a — ℙ1P1 × ℙ2P2 × ℙ3P3 × ℙ3P3 1 4 0 0 12 47 202 -6 202 148 100 52 22
4-199-46-a — ℙ1P1 × ℙ1P1 × ℙ3P3 × ℙ4P4 1 4 1 0 9 46 199 -2 199 142 104 54 15
4-194-45-a — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ3P3 1 4 0 0 9 45 194 -1 194 140 105 58 19
4-194-45-b — ℙ1P1 × ℙ2P2 × Fl(1, 3, 4) 1 4 0 0 9 45 194 -1 194 140 105 58 19
4-192-45-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ2P2 1 4 0 0 12 45 192 -6 192 144 102 52 22
4-192-45-b — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ5P5 1 4 0 0 12 45 192 -6 192 144 102 52 22
4-192-45-c — ℙ1P1 × ℙ1P1 × ℙ2P2 × Gr(2, 5) 1 4 0 0 12 45 192 -6 192 144 102 52 22
4-192-45-d — ℙ2P2 × Fl(1, 5, 6) 1 4 0 0 12 45 192 -6 192 144 102 52 22
4-188-44-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ5P5 1 4 0 0 11 44 188 -4 188 140 105 54 21
4-188-44-b — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ3P3 1 4 0 0 12 44 188 -5 188 140 106 52 22
4-188-44-c — ℙ1P1 × ℙ1P1 × Fl(1, 2, 4) 1 4 0 0 11 44 188 -4 188 140 105 54 21
4-188-44-d — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ3P3 1 4 0 0 9 44 188 -2 188 140 103 58 19
4-188-44-e — ℙ1P1 × Fl(1, 2, 3) × ℙ3P3 1 4 0 0 10 44 188 -3 188 140 104 56 20
4-188-44-f — ℙ2P2 × Fl(1, 4, 6) 1 4 0 0 11 44 188 -4 188 140 105 54 21
4-187-44-a — ℙ1P1 × ℙ1P1 × ℙ3P3 × ℙ4P4 1 4 0 0 14 44 187 -8 187 142 105 48 24
4-182-43-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × Gr(2, 4) 1 4 0 0 10 43 182 -4 182 140 102 56 20
4-182-43-b — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ5P5 1 4 0 0 10 43 182 -4 182 140 102 56 20
4-182-43-c — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ3P3 1 4 0 0 12 43 182 -6 182 140 104 52 22
4-182-43-d — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ3P3 1 4 0 0 14 43 182 -8 182 140 106 48 24
4-182-43-e — ℙ2P2 × Fl(1, 3, 6) 1 4 0 0 12 43 182 -6 182 140 104 52 22
4-178-42-a — ℙ2P2 × ℙ3P3 × Gr(2, 4) 1 4 0 0 12 42 178 -5 178 136 108 52 22
4-178-42-b — ℙ2P2 × ℙ3P3 × ℙ5P5 1 4 0 0 12 42 178 -5 178 136 108 52 22
4-176-42-a — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ3P3 1 4 0 0 10 42 176 -5 176 140 100 56 20
4-172-41-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ4P4 1 4 0 0 12 41 172 -6 172 136 106 52 22
4-172-41-b — ℙ1P1 × ℙ1P1 × ℙ2P2 × Gr(2, 4) 1 4 0 0 10 41 172 -4 172 136 104 56 20
4-172-41-c — ℙ1P1 × ℙ1P1 × Fl(1, 2, 4) 1 4 0 0 12 41 172 -6 172 136 106 52 22
4-172-41-d — ℙ1P1 × ℙ1P1 × Fl(1, 3, 4) 1 4 0 0 12 41 172 -6 172 136 106 52 22
4-172-41-e — ℙ1P1 × ℙ4P4 × ℙ6P6 1 4 0 0 14 41 172 -8 172 136 108 48 24
4-172-41-f — ℙ2P2 × Fl(1, 4, 5) 1 4 0 0 12 41 172 -6 172 136 106 52 22
4-167-40-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ4P4 1 4 0 0 14 40 167 -8 167 134 109 48 24
4-167-40-b — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ4P4 1 4 0 0 12 40 167 -6 167 134 107 52 22
4-167-40-c — ℙ2P2 × Fl(1, 3, 5) 1 4 0 0 12 40 167 -6 167 134 107 52 22
4-162-39-a — ℙ1P1 × Fl(1, 2, 3) × ℙ2P2 1 4 0 0 9 39 162 -3 162 132 105 58 19
4-162-39-b — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ2P2 1 4 1 0 9 39 162 -4 162 132 105 54 15
4-162-39-c — ℙ1P1 × Fl(1, 2, 3) × ℙ2P2 1 4 0 0 12 39 162 -6 162 132 108 52 22
4-160-39-a — Fl(1, 2, 5) × ℙ2P2 1 4 0 0 14 39 160 -10 160 136 104 48 24
4-156-38-a — ℙ1P1 × Fl(1, 2, 3) × ℙ2P2 1 4 0 0 14 38 156 -9 156 132 108 48 24
4-156-38-b — ℙ1P1 × Fl(1, 4, 7) 1 4 0 0 14 38 156 -9 156 132 108 48 24
4-155-38-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ4P4 1 4 0 0 14 38 155 -10 155 134 105 48 24
4-152-37-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ3P3 1 4 0 0 12 37 152 -6 152 128 110 52 22
4-152-37-b — ℙ2P2 × Fl(1, 3, 4) 1 4 0 0 12 37 152 -6 152 128 110 52 22
4-148-36-a — ℙ2P2 × ℙ2P2 × ℙ4P4 1 4 0 0 12 36 148 -5 148 124 114 52 22
4-146-36-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × Gr(2, 4) 1 4 0 0 14 36 146 -9 146 128 110 48 24
4-146-36-b — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ5P5 1 4 0 0 14 36 146 -9 146 128 110 48 24
4-146-36-c — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ3P3 1 4 0 0 15 36 146 -10 146 128 111 46 25
4-146-36-d — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ3P3 1 4 1 0 10 36 146 -6 146 128 106 52 16
4-146-36-e — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ3P3 1 4 0 0 13 36 146 -8 146 128 109 50 23
4-146-36-f — Fl(1, 2, 4) × ℙ2P2 1 4 0 0 13 36 146 -8 146 128 109 50 23
4-146-36-g — ℙ2P2 × ℙ3P3 × ℙ3P3 1 4 0 0 13 36 146 -8 146 128 109 50 23
4-146-36-h — ℙ1P1 × Fl(1, 4, 6) 1 4 0 0 14 36 146 -9 146 128 110 48 24
4-142-35-a — ℙ1P1 × ℙ3P3 × Gr(2, 4) 1 4 1 0 14 35 142 -9 142 124 114 44 20
4-140-35-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ3P3 1 4 0 1 24 35 140 -17 140 128 116 36 36
4-140-35-b — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ3P3 1 4 0 0 16 35 140 -12 140 128 110 44 26
4-136-34-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ4P4 1 4 0 0 14 34 136 -9 136 124 112 48 24
4-136-34-b — ℙ1P1 × Fl(1, 4, 5) 1 4 0 0 14 34 136 -9 136 124 112 48 24
4-134-34-a — ℙ1P1 × Fl(1, 3, 6) 1 4 0 1 24 34 134 -18 134 128 114 36 36
4-132-33-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ2P2 1 4 0 0 12 33 132 -6 132 120 114 52 22
4-132-33-b — ℙ2P2 × Fl(1, 3, 4) 1 4 0 0 12 33 132 -6 132 120 114 52 22
4-126-32-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ2P2 1 4 0 0 17 32 126 -12 126 120 117 42 27
4-125-32-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ4P4 1 4 0 0 18 32 125 -14 125 122 115 40 28
4-125-32-b — ℙ1P1 × Fl(1, 3, 5) 1 4 0 0 18 32 125 -14 125 122 115 40 28
4-120-31-a — ℙ1P1 × ℙ1P1 × Fl(1, 2, 3) 1 4 0 1 24 31 120 -17 120 120 120 36 36
4-116-30-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ3P3 1 4 1 0 14 30 116 -10 116 116 116 44 20
4-116-30-b — ℙ1P1 × Fl(1, 3, 4) 1 4 1 0 14 30 116 -10 116 116 116 44 20
4-114-30-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ2P2 1 4 0 0 21 30 114 -18 114 120 117 34 31
4-104-28-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ3P3 1 4 0 1 28 28 104 -22 104 116 124 28 40
4-84-24-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ2P2 1 4 0 3 42 24 84 -30 84 108 138 16 58
5-310-67-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ3P3 × ℙ3P3 1 5 0 0 9 67 310 8 310 172 99 66 21
5-299-65-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ4P4 1 5 0 0 8 65 299 8 299 170 97 68 20
5-283-62-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ3P3 × ℙ4P4 1 5 0 0 9 62 283 6 283 166 98 66 21
5-283-62-b — ℙ1P1 × Fl(1, 2, 5) × ℙ3P3 1 5 0 0 9 62 283 6 283 166 98 66 21
5-278-61-a — ℙ1P1 × ℙ1P1 × Fl(1, 2, 4) × ℙ2P2 1 5 0 0 9 61 278 6 278 164 99 66 21
5-272-60-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × Fl(1, 3, 4) 1 5 0 0 9 60 272 5 272 164 97 66 21
5-256-57-a — ℙ1P1 × Fl(1, 2, 5) × ℙ2P2 1 5 0 0 10 57 256 3 256 160 98 64 22
5-252-56-a — ℙ1P1 × ℙ2P2 × ℙ3P3 × ℙ4P4 1 5 0 0 10 56 252 4 252 156 102 64 22
5-251-56-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ4P4 1 5 0 0 9 56 251 4 251 158 98 66 21
5-251-56-b — ℙ1P1 × ℙ2P2 × Fl(1, 3, 5) 1 5 0 0 9 56 251 4 251 158 98 66 21
5-250-56-a — ℙ1P1 × ℙ2P2 × ℙ3P3 × Gr(2, 4) 1 5 0 0 10 56 250 2 250 160 96 64 22
5-246-55-a — ℙ1P1 × ℙ1P1 × Fl(1, 2, 3) × ℙ2P2 1 5 0 0 9 55 246 4 246 156 99 66 21
5-236-53-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ3P3 1 5 0 0 10 53 236 3 236 152 102 64 22
5-230-52-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ3P3 1 5 0 0 10 52 230 2 230 152 100 64 22
5-230-52-b — ℙ1P1 × ℙ2P2 × ℙ3P3 × ℙ3P3 1 5 0 0 10 52 230 2 230 152 100 64 22
5-230-52-c — ℙ1P1 × Fl(1, 2, 4) × ℙ2P2 1 5 0 0 10 52 230 2 230 152 100 64 22
5-230-52-d — ℙ1P1 × ℙ1P1 × Fl(1, 3, 6) 1 5 0 0 10 52 230 2 230 152 100 64 22
5-224-51-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ3P3 1 5 0 0 10 51 224 1 224 152 98 64 22
5-224-51-b — ℙ1P1 × ℙ2P2 × Fl(1, 3, 4) 1 5 0 0 10 51 224 1 224 152 98 64 22
5-220-50-a — ℙ1P1 × ℙ2P2 × ℙ2P2 × ℙ4P4 1 5 0 0 10 50 220 2 220 148 102 64 22
5-214-49-a — ℙ1P1 × ℙ1P1 × ℙ3P3 × Gr(2, 4) 1 5 0 0 12 49 214 -1 214 148 102 60 24
5-214-49-b — Fl(1, 3, 6) × ℙ3P3 1 5 0 0 12 49 214 -1 214 148 102 60 24
5-214-49-c — ℙ3P3 × ℙ3P3 × Gr(2, 4) 1 5 0 0 12 49 214 -1 214 148 102 60 24
5-214-49-d — ℙ1P1 × ℙ1P1 × ℙ3P3 × ℙ5P5 1 5 0 0 12 49 214 -1 214 148 102 60 24
5-209-48-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ4P4 1 5 0 0 11 48 209 0 209 146 102 62 23
5-209-48-b — ℙ1P1 × ℙ1P1 × Fl(1, 3, 5) 1 5 0 0 11 48 209 0 209 146 102 62 23
5-209-48-c — Fl(1, 4, 8) 1 5 0 0 11 48 209 0 209 146 102 62 23
5-209-48-d — ℙ1P1 × Fl(1, 3, 6) 1 5 0 0 11 48 209 0 209 146 102 62 23
5-208-48-a — ℙ1P1 × ℙ1P1 × Fl(1, 2, 5) 1 5 0 0 12 48 208 -2 208 148 100 60 24
5-204-47-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × Fl(1, 2, 3) 1 5 0 0 10 47 204 1 204 144 102 64 22
5-204-47-b — ℙ1P1 × ℙ2P2 × Fl(1, 3, 4) 1 5 0 0 10 47 204 1 204 144 102 64 22
5-200-46-a — ℙ2P2 × Gr(2, 4) × Gr(2, 4) 1 5 0 0 12 46 200 0 200 140 108 60 24
5-198-46-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ2P2 1 5 0 0 12 46 198 -2 198 144 102 60 24
5-188-44-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ3P3 1 5 0 0 12 44 188 -2 188 140 104 60 24
5-188-44-b — ℙ1P1 × ℙ1P1 × ℙ3P3 × ℙ3P3 1 5 0 0 12 44 188 -2 188 140 104 60 24
5-188-44-c — ℙ1P1 × ℙ1P1 × Fl(1, 2, 4) 1 5 0 0 12 44 188 -2 188 140 104 60 24
5-188-44-d — ℙ1P1 × ℙ1P1 × Fl(1, 3, 4) 1 5 0 0 12 44 188 -2 188 140 104 60 24
5-184-43-a — ℙ1P1 × ℙ1P1 × ℙ2P2 × ℙ4P4 1 5 0 0 12 43 184 -1 184 136 108 60 24
5-168-40-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ2P2 1 5 0 0 12 40 168 -2 168 132 108 60 24
5-168-40-b — ℙ1P1 × ℙ1P1 × Fl(1, 3, 4) 1 5 0 0 12 40 168 -2 168 132 108 60 24
5-156-38-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ2P2 1 5 0 0 16 38 156 -8 156 132 108 52 28
5-120-31-a — ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ1P1 × ℙ1P1 1 5 0 1 26 31 120 -16 120 120 120 40 40
6-230-51-a — Fl(2, 3, 5) 1 6 0 0 16 51 230 4 230 140 120 60 30
6-172-40-a

Successive blow-ups of a smooth quadric fourfold along five incident planes

 Gr(2, 4) × Gr(2, 5) 1 6 0 0 17 40 172 0 172 124 123 58 31
8-80-21-a

Küchle’s fourfold of type (b9), parametrizing lines on an intersection of two quadrics in $\mathbb P^6$

 Gr(2, 7) 1 8 0 0 30 21 80 -4 80 80 160 48 48