Eidolons

Garnet's Summons

Shiva	Causes Ice damage to all enemies	Opal
Ifrit	Causes Fire damage to all enemies	Topaz
Ramuh	Causes Thunder damage to all enemies	Peridot
Atomos	Reduces all enemies' HP by a percentage	Amethyst
Odin	Causes KO to all enemies	Dark Matter
Leviathan	Causes Water damage to all enemies	Aquamarine
Bahamut	Causes non-elemental damage to all enemies	Garnet
Ark	Causes Shadow damage to all enemies	Pumice

Eiko's Summons

Carbuncle-Ruby Light	Casts Reflect on entire party	Ruby
Carbuncle-Emerald Light	Casts Haste on entire party	Emerald
Carbuncle-Pearl Light	Casts Protect on entire party	Moonstone
Carbuncle-Diamond Light	Casts Vanish on entire party	Diamond
Fenrir-Terrestrial Rage	Causes Earth damage to all enemies	Sapphire
Fenrir-Millennial Decay	Causes Wind damage to all enemies	Maiden Prayer
Phoenix	Causes Fire damage to all enemies, and all party members recover from KO	Phoenix Pinion
Madeen	Causes Holy damage to all enemies	Ribbon