With 513 marks you might get govt colleges in you domicile state through state state quota. As oer previous year cut off trends it is suggested that a general category candidate must score above 550 marks and reserved category candidate above 400 marks to get good govt college through state quota. I provided a link below which can help you to find colleges as per your neet score.
We are predicting this on the basis of previous year cut off trends. We. Are not sure about this year cut off as it changes every year depending on no.of candidates, no.of seats and difficulty of exam. So hope for better result this time.
Here is a tool which can predict college on the basis of neet score. I hope this might help you

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

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