586 is a really good score. With these marks there are a few chances of getting a government seat in the general category. As every year the competition changes so is the cut off marks. The cut off marks depends on the competition.

For further details you can go through the following link

https://medicine.careers360.com/articles/neet-cutoff-rajasthan

You can use the given link below to predict your college

https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answe