pentagonalK3 -- pentagonal K3 surface

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

i2 : S' = S(1,0);

o2 : Embedded K3 surface

i3 : map(S',0,1)

o3 = multi-rational map consisting of one single rational map
     source variety: K3 surface of genus 11 and degree 20 in PP^11
     target variety: PP^1

o3 : MultirationalMap (rational map from S' to PP^1)