Tigris Prime build
The use of all four dual stat element mods (+60 [element name] damage, +60 Status Chance) is required to cause each pellet to proc a status. Pellet-based Shotgun calculations for status to occur dictate that the listed status on a shotgun is divided by the amount of pellets fired per shot. If Tigris Prime fires 10 pellets per shot and its current status chance is 30%, its true status becomes 3%. So each pellet will have a 3% chance to proc a status. Note that you must be able to reach 100% status chance before applying multishot mods. It will be mostly impossible to do so otherwise.
Sweeping Serration is used here to alter status weighting. What I mean by that is, assuming you have 100% status chance on a weapon, the physical and elemental damage values on that weapon will determine what status is most likely to occur when fired or swung (if one is speaking for melee weapons).
Galatine Prime base stat distribution is as follows:
Doing some simple calculations reveal that 95% of this weapon's damage will deal slash. When it procs a status, 95% of the time it will cause slash status.
What does this mean for Tigris Prime? Using Sweeping Serration will boost slash damage to 15,085, edging out over the radiation and viral damage on this build. The total damage comes out to 37,369.2. 40.37% of the time you will proc slash per pellet. Without Sweeping Serration, it comes out to 23.53% Dealing damage through slash procs is important because it ignores shields and armor.
Using Viral + Radiation is the go-to elemental combo for this weapon because of how it interacts with slash. Radiation not so much, but it's really the Viral procs we are after here. When you proc Viral status, you reduce an enemy's health by 50% for 6 seconds. If an enemy would somehow survive Tigris Prime's two shots, the resulting viral proc and any slash procs active on said enemy will handle the rest of its health.
Seeking Fury is a filler mod here. You can replace it with Vigilante Armaments for more multishot, but I like that Seeking Fury allows me to kill more enemies because of punch through. Warframe is a horde-based shooter after all.