question about gift box

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Can any TU at all spawn from the gift box or are there mechanics it follows that are more complicated than random TU lvl1-2?
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Anonymous:
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http://docs.median-xl.com/
Check Items > gift and special box
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Stealthmaster
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Different characters have different drops from the Gift Box. For example you will never find
Jitan's Kamon
Jitan's Kamon
Splint Mail (4)

Defense: (184 - 208) to (370 - 418)
Required Level: 6
Required Strength: 30
Item Level: 19
2% Chance to cast level 1 Guard Tower on Kill
Adds 2-4 Fire Damage
Adds 2-4 Lightning Damage
Adds 2-4 Cold Damage
+(24 to 40)% Enhanced Defense
Physical Resist 2%
Socketed (2)
Defense: (592 - 656) to (1106 - 1225)
Required Level: 23
Required Strength: 60
Item Level: 36
4% Chance to cast level 1 Guard Tower on Kill
Adds (4 to 8)-(8 to 15) Fire Damage
Adds (4 to 8)-(8 to 15) Lightning Damage
Adds (4 to 8)-(8 to 15) Cold Damage
+(58 to 75)% Enhanced Defense
Physical Resist 3%
Socketed (4)
Defense: (1466 - 1596) to (2663 - 2898)
Required Level: 41
Required Strength: 210
Item Level: 51
6% Chance to cast level 1 Guard Tower on Kill
Adds (16 to 30)-(31 to 45) Fire Damage
Adds (16 to 30)-(31 to 45) Lightning Damage
Adds (16 to 30)-(31 to 45) Cold Damage
+(92 to 109)% Enhanced Defense
Physical Resist 4%
Socketed (5)
Defense: (2175 - 2352) to (3925 - 4244)
Required Level: 49
Required Strength: 420
Item Level: 85
8% Chance to cast level 1 Guard Tower on Kill
Adds (31 to 60)-(81 to 120) Fire Damage
Adds (31 to 60)-(81 to 120) Lightning Damage
Adds (31 to 60)-(81 to 120) Cold Damage
+(109 to 126)% Enhanced Defense
Physical Resist 5%
Socketed (6)
with an Amazon or Barbarian or non-class specific items with a Paladin. The chance to get a Tier2 unique is similar to Tier1 unless the item has high ilvl. Also you won't get a Tier 3 unique if you cube the box with a 120 lvl char, for example.

Short Question Thread next time.