Hi , 513 are good marks but it's a little low to get you a seat in government medical college under 85% state quota as last year least marks to secure a seat in uttar pradesh under 85% state quota from your category was 573 marks in autonomous medical college,bahraich,basti and shahjahanpur . So, you won't get a seat in government medical college.you can go for private or deemed colleges .Counselling is divided into two types : 1. 15% all india counselling and 2. 85% state quota . Students have higher chances of getting a seat under state quota and for all india cutoff is very high as compared to state quota . Talking of which remember that cutoff varies every year depending on number of students appearing in exam, difficulty level of exam, students scoring more than you and your category.
To predict your college According to your marks click here
https://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer
Hope this helps

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