AHA!!!!
Me thinks my friend that you are experiencing the same thing I did... I believe that when the Nitrites are WAY off the scale, the Nitrite tests give freaky results (this happened to me too)... HOWEVER... if you have High 100+ ppm Nitrates... you can use the patented Luca Brazzi Fishless Cycling Shortcut... simply do 100% changes to your water until you read 0 ppm Nitrites, wait a day, do another 100% change, then... add your hardiest fish! You may get barely detectable Nitrites for a day (if you do, then do another waterchange), then it will go to 0 permanently!
By reducing the ammo/day to the output of just a few fish, you will reduce the output of Nitrite to what your current Nitrite oxidizers can consume.
Oh yeah... stop adding ammonia before you do the changes!
Mollies make good fish for doing this.
It works... trust me.