russian_in_TLS03

I am puzzled with a very specific thing that happens to my car every time I slow down to a stop and then when the car completely stops I experience this. It literally shakes like a fridge would sound and shake when its compressor is coming to stop almost like its trying to give away last revs. Nothing else is turned on like AC or FAN just driving, breaking, then stopping, and then brrrr.... with sound and shake. The dealer reprogrammed the PCM to reteach the computer on what to do when the engine goes into the idle mode, but it did not help. This is very pronounced and annoying and I would be grateful if someone help me figure out what this is and have actually something to go on that the dealer would fix. The dealer is very nice and they recognize the sound and a shake but do not know what to go do.

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Noble Green Pearl, Type-S 03
OEM Body Kit
Magnaflow wide exhaust tips
Wood wheel and shift knob
Evolution Autodesigns Door Sills
K&N Air Filter
Fog Light Mod (independent on only)
~ 38K Miles as of this message