Samples are collected from two independent populations to conduct a hypothesis test for the difference of the means $\mu_1 - \mu_2$. If the sample size $n_2$ from population 2 is 5 times larger than the sample size $n_1$ from population 1, and the degrees of freedom for the test statistic is 82, then what are the sample sizes?

$n_1$ =

$n_2$ =