Allies

Summons
The player can summon a monster as their ally if they collect enough research of said monster. These summons increase their level then their luck with additional research. Luck boosts the amount of research dropped, and the number of allies with maxed luck boosts Dark Ritual. While in your team, summons can provide bonus effect(s) and fight if they are in the top 5 of your team. They can only use plain skills, skills that match their attribute(s), or their default skill. Their stats are scaled versions of your base stats, and their bonus(es) can vary from boosting your stats, to increasing inventory. Feeding them seeds can raise their scaling and bonus effect(s) up to their level.

Bonuses are calculated as a percentage of the range between their base and max values:

$$CurrentAmount = {CurrentLevel \over MaxLevel} \times (MaxAmount - BaseAmount) + BaseAmount$$

Increment per level can be found when plugging in $CurrentLevel = 1$. Most bonuses will have their max be doubled their base. Some have a base of zero.

Final stats are calculated as:

$$FinalStat = Scaling\times BaseStat \times Modifiers$$

Where BaseStat are the stats listed at the top of your party screen, and modifiers are things such as the stat boosts from skills' additional effects. When calculating, scalars are changed to a decimal, not a multiplier.

Due to aesthetic size limitations, skills, maxed scale values, base scale values, and drop chances are on their respective pages.


 * * These are guardian parts/summons. They typically require more seeds and research to grow, and their bonus effect(s) remain active while they are in reserve, but at 10% of its strength.
 * ** Adds effects to X applies the effect to each item in your inventory. For example, with a max Fire stat of 20, Scarlet Dragon will provide +400 to Attack, Defense, Magical Attack, and Magical Defense.

Support Summons
Support summons cannot join your party, but continuously give a passive effect. They need an equal amount of each of the three types of seeds to level up, and they have no defined max level.

Characters
Some characters, except You, can join and leave the party based on choices made in the story. Those characters' stats are calculated as

$$FinalStat = Average \times Scaling \times Modifiers$$

where average is the average of You's and all the summons' stats on your team.