Here is the full list of all 14 The Polynomial - there are Space of the music achievements.
Killed 1 enemy (TEST)
Kill 500 enemies in 1 minute.
Kill 10 enemies in 1 minute.
Kill 30 enemies in 1 minute.
This is a hard one. Kill 100 enemies in 1 minute. Try using autoaim and fast bullets.
Kill 100 enemies in 5 minutes
Like 100 kills in 1 minute, except you have to keep the rate for 5 minutes.
Kill 500 enemies in 20 minutes.
Kill 10 enemies in process of eating an ally (ghost) in 1 minute.
Kill 100 enemies that are in process of eating an ally (ghost) in 5 minutes.
Kill 30 enemies that are in process of eating an ally (ghost) in 1 minute.
Fly through 10 flowers in 5 minutes.
Use the sun to kill an enemy
Eat too many (more than 10) snowflakes within game life. Snowflakes will be present in Christmas level when its Christmas.