color management - Is there any good method to invert a negative image (duplicated with a digital camera) in Lightroom?

I made some duplicates picture (of negatives) with my digital camera using a bellows and a repro-dia.

The image is obviously in a negative format but in RAW.

Is the invertion function exists in Lightroom or I have to buy Photoshop or to find another software who can do this? I tried to invert the curve from the development in Lightroom but it does not work for color negatives, because it is not only the inversion but also the orange filter to correct (which become cyan on the inverted picture).