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According to the information contained in the Mueller Report, was there a conspiracy between the Trump Campaign and Russia? By conspiracy, I mean both the legal definition and in an informal sense; that is: did the Trump Campaign knowingly deal with Russian agents to gain an election advantage?

I'd like to keep this question focused only on the question of whether there was an actual conspiracy, not on obstruction of justice or other crimes that may have been uncovered. In addition, I'd like to focus on information contained in the Mueller Report, not on information from other sources.

Also, could citations be from the Mueller report instead of media conclusions about the report? I would like to keep out as many intermediaries as possible to reduce claims of bias.

Regarding the legal definition, there was no conspiracy:

the report is very clear that Mueller’s investigation did not establish that the Trump campaign criminally conspired on illegal Russian election interference, or that it coordinated with Russia through either an active or tacit agreement.

Using your definition - knowingly deal with Russian agents to gain an election advantage - the matter is a bit less clear. Mueller 'uncovered “evidence of numerous links” between Donald Trump campaign officials and individuals with or claiming ties to the Russian government'. Eg:

• 'Paul Manafort and Manafort’s deputy Rick Gates, were regularly providing polling information to a Russian national whom Gates believed to be a “spy.” [...] Manafort repeatedly met with Kilimnik, worked with him to develop a pro-Russian Ukraine policy that Trump could implement if elected'


• '[In an attempt to find Clinton's emails] Flynn reached out to a man named Peter Smith who (apparently falsely) told a number of people that he was in contact with Russian agents.'


• 'Donald Trump Jr. arranged a meeting with the express purpose of obtaining Russian “dirt” on Clinton, and [...] Papadopoulos was offered similar dirt from a Russian agent'


• Trump publicly called on Russia to obtain Clinton's emails and "Within roughly five hours of Trump’s public request, Russian G.R.U. intelligence operatives targeted Clinton’s personal office for the first time".


• 'Papadopoulos suggested that the Trump Campaign had received indications from the Russian government that it could assist the Campaign through the anonymous release of information that would be damaging to Hillary Clinton'

No, there was no conspiracy to the extent that criminal charges for conspiring with the Russians could be brought against members of the Trump campaign

My answer is based on the quote below from the executive summary of the first volume of the Mueller report (page 9 of the first volume, page 17 in the linked pdf). In de report this constitutes one paragraph, but I split it in smaller chunks to improve readability.

Second, while the investigation identified numerous links between individuals with ties to
the Russian government and individuals associated with the Trump Campaign, the evidence was
not sufficient to support criminal charges. Among other things, the evidence was not sufficient to
charge any Campaign official as an unregistered agent of the Russian government or other Russian
principal.

And our evidence about the June 9, 2016 meeting and WikiLeaks’s releases of hacked
materials was not sufficient to charge a criminal campaign-finance violation. Further, the evidence
was not sufficient to charge that any member of the Trump Campaign conspired with
representatives of the Russian government to interfere in the 2016 election.