589 is quite a good score so you have fair chances that you may get a government seat through all India quota. Now we don't know the state you belong to. So only possible colleges through all India quota can be told. Going by last year's cutoffs and your score, you can expect-

• Gulbarga Institute of Medical Sciences
• ESIC MC, Gulbarga, Karnataka
• Bidar Institute of Medical Sciences
• Mindapore Government Medical College, WB
• Bankura Sammilani Medical College.
• Murshidabad Government medical college
• Malda Government medical college
• Lala Lajpat Rai Medical College
• MotiLal Nehru Medical College
• GMC Kannauj, Jalaun, Banda
• Government Dharmapuri Medical College, Dharmapuri
• Government Sivgangai Medical College, Sivagangai
• Government Villupuram Medical College, Villupuram
• Maharani Laxmi Bai Medical College, Jhansi etc .

The list is quite long. However this is based on previous year cutoffs and this year it might change. So I would suggest you to use Neet College Predictor tool to know about your admission possibilities http://medicine.careers360.com/neet-college-predictor?icn=QnA&ici=qna_answer

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