Questions
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Can seomozpro not just give me a full list of backlinks?
It all depends on what do you mean for "most important". What I suggest you is to not limit the examination of the backlinks into OSE (I imagine you are using it for competitive analysis), but to export the raw datas in .csv format and then start using some Excel magic, in order to analyse the backlinks the way you consider the most suitable to your needs.
Moz Tools | | gfiorelli10