Where does “alchermes” come from?

alchermes (Polish) comes from Arabic قرمز, from Persian کرمست, from Sanskrit कृमिज, from Sanskrit कृमि, from Proto-Indo-Aryan kŕ̥miṣ, from Proto-Indo-Iranian kŕ̥miš, from Proto-Indo-European kʷŕ̥mis — worm.

Ancestry of “alchermes”, step by step

StepLanguageWordMeaning
1Arabicقرمزkermes insect; kermes dye color, a shade of red...
2Persianکرمست—
3Sanskritकृमिजproduced by worms
4Sanskritकृमिa worm, insect; "a spider"; a silk-worm
5Proto-Indo-Aryankŕ̥miṣ—
6Proto-Indo-Iraniankŕ̥mišworm
7Proto-Indo-Europeankʷŕ̥misworm
Every word from Proto-Indo-European kʷŕ̥mis →Every word from Proto-Indo-Iranian kŕ̥miš →Every word from Proto-Indo-Aryan kŕ̥miṣ →