I am a beginner learning circuits.

I am stuck in lesson AAC Vol 2, Chapter 5, Series-Parallel R, L, & C circuits.

Rule of parallel circuits: Z=1/(1/Zr + 1/Zc)

Zr=470 [R]

Zc=1523 [L--C2]

Zr//L--C2 = 1/(1/470+1/1523.3)

My answer = 359.18

Lesson answer is 429.15 - j132.41 or

__449.11__@ -17.147 deg.

I can't figure out how this is arrived at. Can anyone give me the math?

Thanks