Sorry about missing the fishless cycle part. If the tank has only been cycling a week, it looks like the ammonia spike may have almost dropped since ammonia is at .25 and nitrite is at 5.0. I don't quite understand how the nitrates could be that high since nitrate comes from nitrite and it's hard to believe that much nitrite could have already been transformed into nitrate. I would check my tap/well water to see what the nitrate reading is from the tap.
I am of the same understanding as nc_nutcase, that you only do one huge water change at the end of the cycling to remove the nitrate. I just finished fishless cycling a 75 gallon tank and didn't do any water changes at all until the nitrite spike dropped. For about the last 4 days, the nitrAtes were literally off the chart but the nitrIte spike dropped after about 2 weeks. Entire cycling took about 3 weeks. YOu will need to continue to add ammonia every time ti gets to near zero to bring the level back up to around 1.0. Otherwise, the bacteria that feeds off ammonia will die off. If the ammonia part of the cycle, a level of 1.0 should drop back to 0 again with in about 10 to 12 hours. When it does, just add more.