well i havent noted the gem names, only the rank
i noted this upgrading the bag gems in CB, im not 100% sure normal gems have exact same effects or succes chances
01 HP +20
02 Def +1 (100%)
03 Base Dam +2 (70%)
04 Power +2 (60%)
05 Acc +1 (50%)
06 HP +1% (50%)
07 Crit dam +2% (40%)
08 Attack Power +1% (40%)
09 Indirect Dam Resist +1 (30%)
10 Crit Rate +1 (30%)
11 Heal Effect +2% (30%)
12 Crit Resist +1 (30%)
13 Dam Bonus +3 (30%)
14 Eva +1 (30%)
15 Crit Bonus +5% (30%)
16 (never managed to craft 1)