curveGenus14Degree18inP6 -- compute a random curve of genus 14 and degree 18 in $\mathbb{P}^6$

• Usage:

  (random curveGenus14Degree18inP6)(R)

• Inputs:
  • R, a polynomial ring, coordinate ring of $\PP^6$
• Outputs:
  • an ideal, in R, ideal of the curve

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

i2 : R=ZZ/101[x_0..x_6];

i3 : C=(random curveGenus14Degree18inP6)(R);

o3 : Ideal of R

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

o4 = (2, 18, 14)

o4 : Sequence