Police lying to you is not a crime.
This is a very good reason to limit interactions with police.
https://www.nytimes.com/2018/03/18/nyregion/testilying-polic...
> Commonly used interrogation tactics, such as promising leniency or insinuating that incriminating evidence exists, are banned for suspects under 18 years old under the new law, which goes into effect Jan. 1.
Edit: adding this link to the excellent and oft-cited "Don't talk to the police [even if you're completely innocent]" lecture
If the police are lying to the people, then why can't we assume the witnesses are lying... The police are supposed to be more reliable, after all.
The idea that the police would lie and claim to have evidence is just completely foreign to us.