Update: I've whipped up a new ROM, this one has all the previous stuff, deodexed, zipaligned, etc, but now this one is lightly debloated and has gapps updated, even more exciting, now it updates the radio and the kernel (or at least it should) and you shouldn't have to flash superuser. I haven't had the time to test it but I've been really excited to release it to you all, so as with any other ROM, flash at your own risk and I cannot stress enough to make a backup of your current partitions. Enjoy 
Link removed until I fix it
---Old post below---
Mirror 1: http://www.mediafire.com/?qm43334tr530m27
Mirror 2: https://docs.google.com/file/d/0B3wsRGokCGwhdUpvTFZCRURVLWc/edit?usp=docslist_api
Mirror 3: https://www.dropbox.com/s/kd3qqothyshslbu/ls740_zv4.zip?dl=0
I've taken our stock zv3 ROM and updated it to zv4. I flashed it successfully in cwm but already had zv4 installed and I'm not sure how it will play if it is flashed directly over zv3, so as always, flash at your own risk. I recommend starting from a clean slate and doing a factory reset before and after inside cwm and clearing your dalvik cache and restoring your data with nandroid manager.
This ROM is rooted, deodexed, zipaligned, init.d enabled.
In case superuser doesn't work after flashing, here's a flashable zip
http://forum.xda-developers.com/attachment.php?attachmentid=832400
If the above doesn't work, here's SuperSU
http://download.chainfire.eu/supersu/
http://androidforums.com/showthread.php?p=6660832
To boot up cwm, you'll need to expose fastboot. To do this, download terminal emulator and grant superuser permissions.
Back up your laf partition:
dd if=/dev/block/platform/msm_sdcc.1/by-name/laf of=/sdcard/laf.img
Nuke your laf partition:
dd if=/dev/zero of=/dev/block/platform/msm_sdcc.1/by-name/laf
When that is done, turn off your phone, and when completely off, hold the vol+ button and plug it in to your computer. After fastboot loads up you can let go of vol+.
http://androidforums.com/showthread.php?p=6668157
Now you can boot into cwm:
Fastboot boot cwma1.img
Flashing updated radio:
I'm not sure if you need the latest ROM to update your radio, but as with all my other work, I assume no responsibility if you brick your device.
http://www.mediafire.com/?sm1e6dgvczv5ibl
Just flash it in cwm like any other zip.
When you restart, you will only have 3g. To get LTE back you must reactivate your phone, in the dialer enter ##72786#
This will wipe your carrier partition and you will have to reactivate.
Note that the radio image contains multiple partitions and will reflash your laf partition, so if you ever go to enter fastboot again don't be alarmed when you enter download mode, you just have to nuke your laf partition again. Not much testing has been done with this new baseband but it seems to be working for me so far.

Link removed until I fix it
---Old post below---
Mirror 1: http://www.mediafire.com/?qm43334tr530m27
Mirror 2: https://docs.google.com/file/d/0B3wsRGokCGwhdUpvTFZCRURVLWc/edit?usp=docslist_api
Mirror 3: https://www.dropbox.com/s/kd3qqothyshslbu/ls740_zv4.zip?dl=0
I've taken our stock zv3 ROM and updated it to zv4. I flashed it successfully in cwm but already had zv4 installed and I'm not sure how it will play if it is flashed directly over zv3, so as always, flash at your own risk. I recommend starting from a clean slate and doing a factory reset before and after inside cwm and clearing your dalvik cache and restoring your data with nandroid manager.
This ROM is rooted, deodexed, zipaligned, init.d enabled.
In case superuser doesn't work after flashing, here's a flashable zip
http://forum.xda-developers.com/attachment.php?attachmentid=832400
If the above doesn't work, here's SuperSU
http://download.chainfire.eu/supersu/
http://androidforums.com/showthread.php?p=6660832
To boot up cwm, you'll need to expose fastboot. To do this, download terminal emulator and grant superuser permissions.
Back up your laf partition:
dd if=/dev/block/platform/msm_sdcc.1/by-name/laf of=/sdcard/laf.img
Nuke your laf partition:
dd if=/dev/zero of=/dev/block/platform/msm_sdcc.1/by-name/laf
When that is done, turn off your phone, and when completely off, hold the vol+ button and plug it in to your computer. After fastboot loads up you can let go of vol+.
http://androidforums.com/showthread.php?p=6668157
Now you can boot into cwm:
Fastboot boot cwma1.img
Flashing updated radio:
I'm not sure if you need the latest ROM to update your radio, but as with all my other work, I assume no responsibility if you brick your device.
http://www.mediafire.com/?sm1e6dgvczv5ibl
Just flash it in cwm like any other zip.
When you restart, you will only have 3g. To get LTE back you must reactivate your phone, in the dialer enter ##72786#
This will wipe your carrier partition and you will have to reactivate.
Note that the radio image contains multiple partitions and will reflash your laf partition, so if you ever go to enter fastboot again don't be alarmed when you enter download mode, you just have to nuke your laf partition again. Not much testing has been done with this new baseband but it seems to be working for me so far.