That's because your file is wrong.
This line is incorrect:
54606c9a4fd32b826ceab4da9335d7a34a380859fa9495bf35a9e9c0dd9b6298 bitcoin-0.13.0-win64.2d61f88621301bbb00512376287f9df4568255f8b98bc10547dced96c8 bitcoin-0.13.0-x86_64-linux-gnu.tar.gz
It should really be these two lines:
54606c9a4fd32b826ceab4da9335d7a34a380859fa9495bf35a9e9c0dd9b6298 bitcoin-0.13.0-win64.zip
bcc1e42d61f88621301bbb00512376287f9df4568255f8b98bc10547dced96c8 bitcoin-0.13.0-x86_64-linux-gnu.tar.gz
That's because the files themselves are not pgp signed and do not have any signatures.
Yes that is all you need to trust that the .dmg is the right file.
Thanks for the help. I see were I went wrong now!