Festus is satisfied Paul has committed no crime

Acts 25:1-27
After spending eight or ten days with them, Festus went down to Caesarea. The next day he convened the court and ordered that Paul be brought before him. When Paul came in, the Jews who had come down from Jerusalem stood around him. They brought many serious charges against him, but they could not prove them.
Festus, wishing to do the Jews a favor, said to Paul, “Are you willing to go up to Jerusalem and stand trial before me there on these charges?”
If, however, I am guilty of doing anything deserving death, I do not refuse to die. But if the charges brought against me by these Jews are not true, no one has the right to hand me over to them. I appeal to Caesar! After Festus had conferred with his council, he declared: “You have appealed to Caesar. To Caesar you will go!
But I have nothing definite to write to His Majesty about him. Therefore I have brought him before all of you, and especially before you, King Agrippa, so that as a result of this investigation I may have something to write. For I think it is unreasonable to send a prisoner on to Rome without specifying the charges against him.”
Two years pass, and Felix is succeeded by Porcius Festus. His attempt to curry favor with the Jews compels Paul to appeal to Caesar. He has offended against neither Jewish nor Roman law. But he has more hope of justice from the Emperor Nero than from the Sahedrin!
When King Agrippa comes to pay his respects to the new governor. Paul's case is put to him. This is Agrippa II, son of the Herod of Acts 12:1, great-grandson of Herod the Great, Bernice, his sister and acting wife, crowned to the emperors Vespasin and Tutis.
Festus is satisfied Paul has committed no crime, so what charge can he write in his letter to the emperor about the prisoner he is sending to Rome.
Why?
This is a unjust, without righteous world!
Festus knew Paul has committed no crime, but they still kept Paul in prisoner.
Finally Paul asked I appeal to Caesar for there is not righteousness in their court.
How?
There is not real righteousness in this world, to be a Christian have to show the righteous of the Lord in our daily life.