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from IPython.display import HTML

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### Evolving Data Format¶

The evolving data should be stored in a CSV file with columns labeled as time, a_01, a_10, a_d,elastic_free_energy,gradient_free_energy, precipitate_area and total_free_energy. The CSV file should be formatted as a table and have the following form (note that the column ordering is inconsequential),

a_01,a_10,a_d,elastic_free_energy,gradient_free_energy,precipitate_area,time,total_free_energy
19.97429316515008,19.974293165149973,20.140688631434397,6.185957746168657,4.510418048831537,1264.0,0.1,17.72178588199252
19.86315763877582,19.863157638775874,20.098536436029132,6.054959230125162,2.9620862374085544,1264.0,1.1,17.207555522195793
19.906346454363486,19.906346454363465,20.134576060150618,6.021500927987024,2.736582255973086,1264.0,2.1,17.204113636263912
...

The data should be collected frequently during the simulation, but greater than 20 data points at a minimum (more than 1000 data points is unnecessary and won't improve resolution). The data should be named all_data in the "Short name of data" box located in the "Data Files" section of the upload form. The 2D radio button should be checked, the entry in the "Name of the x-axis column" box should be time and the entry in the "Name of y-axis column" should be total_free_energy. Only one "Data Files" section upload is required for the evolving data.

### Equilibrium Data Format¶

The equilibrium data should be stored in either a CSV file with columns labeled as x and y. The CSV file should be formatted as a table and have the following form (note that the column ordering is inconsequential),

x,y
-9.5,-18.615967564796016
-8.5,-18.84790477132558
-7.5,-19.030286708741155
-6.5,-19.158255175095714

The contour data should be in a sequence that enables an ordered traversal of the contour line. The data should be named contour in the "Short name of data" box located in the "Data Files" section of the upload form. The 2D radio button should be checked, the entry in the "Name of the x-axis column" box should be x and the entry in the "Name of y-axis column" should be y. Only one "Data Files" section upload is required for the evolving data.