Hi aspirant, since you have 81 percentile with SC category rank 8635 so on behalf of that below are some of the top government colleges in which you can take admission;

• Central Institute of Technology, Assam
• Guru Ghasidas Vishwavidyalaya, Bilaspur
• DTU, Delhi
• Thapar Institute of Engineering and Technology, Patiala
• NSUT, Delhi
• Gurukul Kangri Vishwavidyalaya, Haridwar
• Gyan Ganga Institute of Technology and Science, Jabalpur
• Rewa Institute of Technology, Rewa
• Jabalpur Engineering College, Jabalpur
• Guru Tegh Bahadur Institute of Technology, Delhi

Etc.

For more colleges you can take help of below mentioned link;

https://engineering.careers360.com/jee-main-college-predictor?utm_source=qna&utm_medium=jee_cp

Thank You.