Sanhedrin 9: When Is a Monetary Case a Capital Case?

A long discussion on the dispute between Rabbi Meir and the rabbis in mishnah -- beginning with a case of a husband who accuses his wife of not being a virgin at marriage (tantamount, in this context to an accusation of adultery), and the dispute is over the question of whether the case requires 3 or 23 judges (is it a capital case or a monetary one)? (8 explanations addressing the interpretations of 3 vs. 23). Also, what if that same case were subject to conspiring witnesses... which means they were seeking the woman's death for her adultery. And what if there were conspiring witnesses about the witnesses that testified to the first set of witnesses? (Such that the testimony has to be thrown out)