Bond with the Eidolons
幻獣との絆 [genjuu to no kizuna] or 'bond with the eidolons' in Japanese.
Record Keeper

Type: Record Materia, Record Materia Level: 2, Rarity: -
Obtain: drops with a set percentage chance in battle in FF4 dungeons while a Limit Broken Rydia is in your party
Effect: Raises damage dealt by Summoning magic (effect: moderate)
Trivia

When the Record Materia system was first added to Record Keeper, a different set of icons was used for some abilities. Bond with the Eidolons is one of those whose icon was later changed to a standard one. To the right is the original icon.
Category: Ability