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So if you transfer from lower ranked schools to higher ranked schools (T50->T14; T14->T6; T6->HYS), besides 1L grades ,will your undergrad GPA and LSAT be a factor in your transfer application?

If not, then assuming you are top 1% in your class, do your softs prior to LS and ties to a particular school become more important in the application process?

It's incredibly unpredictable. Grades/former school seem to be the most important, but they're not dispositive.