How to calculate eta squared with F value

I'd like to ask your help to calculate eta squared by hand.
Unfortunately, I lost my dataset and a few results I have are 1) F value, 2) p value, 3) partial eta squared, and 4) power.
For example, F (1, 228)= 11.16, p<.05, partial eta squared= .04, power =.91
I used repeated measure ANOVA with mixed design (between and within).
I found a formula to calculate eta squared based on F value but it was only for one-way ANOVA case.

Would you please let me know if you know any formula that I can use to get eta squared value?
I look forward to hearing from you!!

Thank you so much in advance for your help.
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