i1 : S = pentagonalK3 11
o1 = K3 surface with rank 2 lattice defined by the intersection matrix: | 20 5 |
| 5 0 |
-- (1,0): K3 surface of genus 11 and degree 20 containing elliptic curve of degree 5 (GM fourfold)
-- (1,1): K3 surface of genus 16 and degree 30 containing elliptic curve of degree 5
-- (1,2): K3 surface of genus 21 and degree 40 containing elliptic curve of degree 5
-- (1,3): K3 surface of genus 26 and degree 50 containing elliptic curve of degree 5 (GM fourfold)
-- (1,4): K3 surface of genus 31 and degree 60 containing elliptic curve of degree 5
-- (1,5): K3 surface of genus 36 and degree 70 containing elliptic curve of degree 5
-- (1,6): K3 surface of genus 41 and degree 80 containing elliptic curve of degree 5
-- (2,0): K3 surface of genus 41 and degree 80 containing elliptic curve of degree 10
o1 : Lattice-polarized K3 surface
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