R linear model category to dummy variables -

i have r linear model created 7 dummy variables factor 8 levels. understand why there 7 variables, don't understand how relate them original data's levels based on names. extensions .l .q .c ^4 ^5 , ^6 mean?

quality.l quality.q quality.c quality^4 quality^5 quality^6 

i trying convert fitted model executable formula in ruby can run predictions in rails after model built in r.