Cannot boot into Windows after using Partition Magic

By mistake I ran Partition Magic for XP and updated a partition. When I restarted the computer, it froze with a stop 0x0000007B (0x80D86B58, 0xC0000034, 0x00000000) error. I was unable to run chkdsk. I tried bootrec /fixmbr and fixboot, now when the computer restarts I get a message saying "Bootmgr is missing". I ran diskpart and this is what I get:

list disk

Disk ###      Status   Size     Free
Free disk 0   Online   596 GB   1024 KB

select disk 0

list partition

Partition ###   Type      Size     Offset
Partition 1     Primary    39 MB   31 KB
Partition 2     Primary    13 GB   40 MB
Partition 3     Primary   582 GB   13 GB

select partition 3

When I list volumes I can't see my partitions. What am I missing?

I tried booting from a Ubuntu Linux pen drive, and I was able to see my files. What do I need to do to boot correctly into Windows?

When running automatic startup repair I get the following in the log:

Root cause found: system volume on disk is corrupt

I recommend running chkdsk in read-only mode to evaluate how bad off the partition damage is. If page after page after page of errors scroll by it maybe hopeless. If you only have a few errors then chkdsk /f c: might be safe.