Rega Saturn R power cord {stock} wanted to upgrade to better quality power cord


I just purchased a Rega Saturn R cd player and noticed the the power cord that comes with it seems very thin . I was wondering about changing it . Would a better power cord make a difference ? Can anyone recommend a better one ? 
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akg_ca Thank you very much for most valuable info. I really appreciate it. So in your opinion you would not use any 3rd party cables for the Rega. Now i have a question...Would it be worth it to upgrade to the Rega Reference power cord for my Saturn r ? 
The Rega Saturn R came with a very thin power cable . Definitely not the reference power cable. 
".... The Rega Saturn R came with a very thin power cable . Definitely not the reference power cable.... Would it be worth it to upgrade to the Rega Reference power cord for my Saturn r ?..."

IMO.... Yup..... Definitely....

Thank you... I will be upgrading to the Rega Reference power cable . Many thanks for your help...