Could you post your test result for Ammonia, Nitrite, Nitrate, and PH?
If you have readings for Nitrites then your cycle is not complete.
The cycling process can take from 3-6 weeks. For your tank to be cycled, a beneficial bacteria needs to be present to break down the Ammonia and Nitrites into Nitrates. Ammonia and Nitrites are lethal to Axolotl and are produced from your Axolotls waste and decomposing food. Nitrates are a slightly less toxic by product. During cycling the beneficial bacteria will colonize your tanks surfaces such as substrate, ornaments, filter, and begin to feed on the Ammonia turning it into Nitrites, then bacteria will break down the Nitrites into Nitrates. The bacteria is known as a 'biofilter', as it filters the ammonia and nitrites into less harmful nitrates.
Once this cycle is established by the beneficial bacteria colonizing the tank, the Ammonia, and Nitrites will always be filtered by the bacteria into Nitrates, all you have to do is monitor you cycle by testing your water weekly so that when your Nitrates build up to around 40ppm you can perform a 30% water change to lower the Nitrates.
You can cycle your tank with your Axolotl in the tank but you must make sure you test daily to ensure your Axolotl doesn't become exposed to high concentrates of Ammonia or Nitrites otherwise your putting your Axolotl in potential pain and discomfort.
Caudata Culture Articles - Cycling
Caudata Culture Articles - Water Quality
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