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Notes:
The first stars formed in dark matter minihalos with masses of ~106 Ms, temperatures of ~1000K, and radii of ~100pc. These DM halos were supported from complete gravitational collapse by rotational support. The first stars ignited at redshifts of 6<z<17, which corresponds to about 0.1-1 billion years after the big bang.
At around z~100 the DM density perturbations were still linear, and thus amenable to analytic description and implementation as initial conditions for cosmological simulations. The early abudances are given by big-bang nucleosynthesis.