i1 : S = trigonalK3 11
o1 = K3 surface with rank 2 lattice defined by the intersection matrix: | 20 3 |
| 3 0 |
-- (1,0): K3 surface of genus 11 and degree 20 containing elliptic curve of degree 3 (GM fourfold)
-- (1,1): K3 surface of genus 14 and degree 26 containing elliptic curve of degree 3 (cubic fourfold) (GM fourfold)
-- (1,2): K3 surface of genus 17 and degree 32 containing elliptic curve of degree 3
-- (1,3): K3 surface of genus 20 and degree 38 containing elliptic curve of degree 3 (cubic fourfold)
-- (1,4): K3 surface of genus 23 and degree 44 containing elliptic curve of degree 3
-- (1,5): K3 surface of genus 26 and degree 50 containing elliptic curve of degree 3 (GM fourfold)
-- (1,6): K3 surface of genus 29 and degree 56 containing elliptic curve of degree 3
-- (1,7): K3 surface of genus 32 and degree 62 containing elliptic curve of degree 3 (cubic fourfold)
-- (1,8): K3 surface of genus 35 and degree 68 containing elliptic curve of degree 3 (GM fourfold)
-- (1,9): K3 surface of genus 38 and degree 74 containing elliptic curve of degree 3 (cubic fourfold) (GM fourfold)
-- (1,10): K3 surface of genus 41 and degree 80 containing elliptic curve of degree 3
-- (2,0): K3 surface of genus 41 and degree 80 containing elliptic curve of degree 6
-- (1,11): K3 surface of genus 44 and degree 86 containing elliptic curve of degree 3 (cubic fourfold)
o1 : Lattice-polarized K3 surface
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