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Shiva, Goddess of Ice is an Eidolon that can be summoned by the Summoner. See also Dark Eidolon
Shiva can be summoned by a Summoner level 3 or higher and costs 400 MP initially while lasting 80 seconds and having a 180 seconds cool-down. From the start Shiva has Frost Attack slowing the movement- and attack speed of who or whatever she hits as well as Solid Skin.
While the duration stays the same the cost and cool-down decreases from 400 to 375 / 350 / 325 / 300 MP and from 180 to 160 / 140 / 120 / 100 MP respectively.
On skill level 4 Shiva gains Diamond Dust dealing 450 damage to enemies in a cone's shaped area and costing 100 MP each use; the cool-down is about 1 second.
With a level 99 Summoner Shiva has 904-912 magic damage, 5 points of heavy armor backed by 21100 HP and 6000 MP.
Shiva is a powerful entity encountered in some form in nearly every Final Fantasy game since the third. For further information see the inofficial Final Fantasy wikia.