Here is the full list of all 30 Pentasma achievements.
GET 10000 POINTS
GET 100000 POINTS
GET 500000 POINTS
GET 1000000 POINTS
JUMP TO THE NEXT PLANET
CATCH 4 HUMANOIDS
JUMP 4 PLANETS
KILL 25 HUMANOIDS
CATCH 10 HUMANOIDS
SURVIVE 4 WAVES WITH ONE HUMANOID
SELF-DESTRUCT WHILE USING HYPERSPACE
KILL 10 BAITERS WITH LASER
DESTROY 4 PLANETS
SAVE THE HUMANOIDS 25 TIMES
SAVE THE HUMANOIDS 50 TIMES
KILL 30 ENEMIES WITH SMARTTORPEDOES
GET WAVE 10 WITHOUT SMARTBOMBS
KILL 30 BERSERKERS WITH LASER
ENGAGE WARP
GET 5 SUPPLY ITEMS
GET TO WAVE 50
GET TO WAVE 100
GET 100000 SCORES WITHOUT DEATH
SAVE ALL HUMANOIDS UNTIL THE NEXT PLANET
DESTROY 20 ENEMIES AT ONCE WITH SMARTBOMB
MAKE 10 ALIENS FALL TO DEATH
COLLECT 20 SMARTBOMBS
CATCH MICRONS' TAILS
COMPLETE THE TUTORIAL
BECOME THE 1ST IN THE SCOREBOARD