2 members found this post helpful.
Watch out here. You're making assumptions which are not correct. As linguist, I have to intervene;
1) *oin- /*oik-: that's about right. About the *H in front: this is the laryngeal *h1, which is likely to be just a glottal stop.
2) *dwo: probably a laryngeal at the end should be placed, because that is the dual suffix.
3) *trei- : I would add the plural ending, but the stem is ok.
4) *catur/*chatur: just no. it has to be from *kwetwor-/*kwetur-; Latin preserved the whole form, only the a in it is weird;
Mycenean Greek had qetor-; Greek has tettares; the t can only arise from *kw before *e/i; Germanic has a labial, which sometimes arose
from *kw.
5) *pempe/*penca: I would stick to *penkwe, because Latin has *quinque (from *pinque; for the *p>*qu change, see *percus > *quercus), and
Greek has pente (with *t < *kw). Of course, *kwe > *ca is a common Satem evolution.
6) *seks/*ses: about right; *ks in Satem would turn quickly to a form with *s.
7) No, it's *septm, with a vocalised *m. PIE could have complex nuclei.
8) I would also agree with the *o-vocalism.
9) I would say *newn, with a vocalised *n.
10) I would say *dekm, with a vocalised *m.
This isn't just a guessing game; this is an intricate form of research in which
exact laws of phonetic change operate as well as analogy of paradigms.