canonicalCurveGenus14 -- compute a random curve of genus 14 in its canonical embedding

• Usage:

  (random canonicalCurveGenus14)(R)

• Inputs:
  • R, a polynomial ring, coordinate ring of $\mathbb{P}^13$
• Outputs:
  • an ideal, in R, ideal of the canonical curve

i1 : setRandomSeed("alpha");
 -- setting random seed to 10206284518

i2 : R=ZZ/101[x_0..x_13];

i3 : C=(random canonicalCurveGenus14)(R);

o3 : Ideal of R

i4 : (dim C, degree C, genus C)

o4 = (2, 26, 14)

o4 : Sequence