One of the roots of
\[z^4 + az^3 + 5z^2 - iz - 6 = 0\]is $2i,$ where $a$ is a complex number.  Enter the other three roots, separated by commas.
<|im_start|>system
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<|im_start|>user
One of the roots of
\[z^4 + az^3 + 5z^2 - iz - 6 = 0\]is $2i,$ where $a$ is a complex number.  Enter the other three roots, separated by commas.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1,-1,-3i
One of the roots of
\[z^4 + az^3 + 5z^2 - iz - 6 = 0\]is $2i,$ where $a$ is a complex number.  Enter the other three roots, separated by commas.
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