@Mark_Baileyhas answered this question at https://community.jmp.com/t5/Discussions/How-to-specify-contrast-coefficients-with-quot-Contrast/td-p/337578, but I could not figure out how to carry out this analysis myself in JMP pro 14 
I would be thankful if someone could show the step-by-step procedure for performing the polynomial contrasts in GIF animations or screenshots. Also, the detailed report that shows the final values for the Linear, Quadratic, and Cubic contrasts.
I attached the sample data to this post too. Thank you
Kind regards,