ck already cover most of it (to my experience, he loves mage), and i must agree that damage spells are not worth in impossible mode, except black hole (death star can compensate for it) and geyser with very high int (minimum is 50).
However i'd like to add some comments to his list of recomended spells.
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The best debuffs in the game is probably
Pygmy Level 3(for level 1-4)
Helplessness Level 3(for level 5s)
Plague Level 1 (for black dragons).
They are also VERY cheap for the crystal/mana usage.
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I recomend going for plague lv 3, even if it's only 10% difference, but it is a very significant difference.
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Best support spells for yourself are
Stone skin level 3
Phantom level 3
Divine Armor level 2
Turn Back Time level 3 (if you use level 5s a lot... otherwise, just get enough to help your primary damaging stack)
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I recomend getting all those mentioned to lv 3. Ok, divine armor lv 2 and lv 3 have such a little difference, but it really helps, even a 5% difference is significant.
Maybe you're wondering why? Divine armor best use is againts dragons in case you do not use single stack red dragons or green dragons (i'd recomend red dragon though) againts enemy dragons.
Another use of this divine armor is when you use units which have very high negative resistances, example of this case is plant type units (thorns, ents, etc). All plants have -100 fire resistance, with divine armor, you can flip those negative resistance to positive resistance instantly, that's why even 5% is significant difference.
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Good crowd control spells are
Target level 3
Fear level 3
Blind (eh)
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I want to add sheep to that lists. As usual, i recomend to upgrade all of them to lv 3.
Of all those four, only blind and sheep that can cancel enemy heroes move (making them cannot use spells).
And i'd like to recomend some useful spells that most peoples tend to ignore.
Here is my list:
1. Gizmo -> Usually lv 2 is enough, though it's up to you if you need lv 3. The only purpose of this spell is to heal your black dragon in case you go solo with single stack black dragons.
2. Ice Thorn -> This spell is tricky, one of its use is to deal againts archdemons, this spells can saves your key units againts their halving effect, and it can screw enemy movement especially in castle battle.
3. Precision -> In case you loves long range units army, this one is a must have spell. Lv 3 is recomended if you go long range unit.
4. Haste -> Pretty obvious. It's one of the most useful spell. Lv 3 is a must.
5. Battle cry -> Best use of this spell is againt most orcish race (especially ogres). I recomend upgrade it to lv 2, go for lv 3 if you need it.
6. Dragon arrow -> You need this one if you love long range units.