as an independent contractor, you are entitled to the EI if you have worked for the same employer for more than 13 weeks
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2001-6-5{211}(#90914@0)
and you can apply for the EI during the 17 weeks of maternity leave and 35 weeks of parental leave . the amount of EI will be 55% of you income but can not more than 413/week, and you should also pay tax for it.