Do you have a challenge K3 surface for us?
We are trying to cover all the K3 surfaces given by five nomials.
Periods computed for about 160 examples; most work with very little precision.
Mukai (X153): 336 curves; the quadric coefficients generate a degree-168 field.
X110 is much worse than Mukai: the degree-288 polynomial is recovered, but compatible inclusion into a degree-576 field is still stuck.