To answer the actual question I'm presuming at that sort of incredible density..you may certainly consider it solid because of how closely the nutrons are packed together at this mind boggling density..

@Hitchens two phase molten & solid tungsten close to the same density. Density it's self doesn't confir state of phase, rigidity or fluidity. ?

@OleBlueEyes

I'd probably need to go up there to take a look to be sure.

@Hitchens yes?

@OleBlueEyes

Ok I found this, which basically says "we don't know..."

Im guessing because at those densities they cannot be accurately described in terms that we can readily even visualize or imagine, they are precursors to black holes, and are dying collapsed stars, difficult to observe, except through theoretical maths, the material becomes quark and gluon, and who the hell knows enough about quark theory to express an opinion on what state the material is at any given time.. The nearest one is 1000 light years away, so by now is a blackhole anyway. Anyway read below BlueEyes...

The equation of state of matter at such high densities is not precisely known because of the theoretical difficulties associated with extrapolating the likely behavior of quantum chromodynamics, superconductivity, and superfluidity of matter in such states along with the empirical difficulties of observing the characteristics of neutron stars that are at least hundreds of parsecs away.