SCalcET$913,1\mathrm{.}040.$

At what points does the helix $r(t)=($:$sin(t),cos(t),t)$ intersect the sphere $x^2{y}^2{z}^2=82?($Round your answers to three decimal places. If an answer does not exist, enter DNE.$)$

smaller $t-$value $,(x,y,z)=()$

larger $t-$value

$)$