i1 : S = K3(8,2,2)
o1 = K3 surface with rank 2 lattice defined by the intersection matrix:  14 2 
 2 2 
 (1,0): K3 surface of genus 8 and degree 14 containing rational curve of degree 2 (cubic fourfold)
 (2,0): K3 surface of genus 29 and degree 56 containing rational curve of degree 4
 (2,1): K3 surface of genus 32 and degree 62 containing rational curve of degree 2 (cubic fourfold)
o1 : Latticepolarized K3 surface

i2 : project({5,3,1},S,2,1);  (5th + 3rd + simple)projection of S(2,1)
 *** simulation ***
 surface of degree 62 and sectional genus 32 in PP^32 (quadrics: 435, cubics: 6264)
 surface of degree 37 and sectional genus 22 in PP^17 (quadrics: 100, cubics: 979)
 surface of degree 28 and sectional genus 19 in PP^11 (quadrics: 28, cubics: 248)
 surface of degree 27 and sectional genus 19 in PP^10 (quadrics: 19, cubics: 176)
 (degree and genus are as expected)
o2 : ProjectiveVariety, surface in PP^10
