1) Apparently, physicist can calculate the GW invariants of quintic CY 3-fold up to genus 51. I am looking for a reference that has a table of these number for some low degrees (say up to degree 5) and low genera (at least until g=3).

2) For each genus g, there is a lower bound $d(g)$ such that for every $d<d(g)$, all genus g degree d invariants of quintic are zero. Where can I found this lower bound?

Thanks.