Possibly some amethyst? Maybe fluorite for some. If you have any quartz points try and scratch them, that could differentiate between fluorite and quartz.
Possibly Fluorite if fairly soft, 4 to 5 on the Mohs Hardness Scale. Impure Sodalite or impure Lapis Lazuli if somewhat harder, 5 to 6 on the Mohs Hardness Scale.