[bvw]

Anyone who doesn't accept the 13 principles of Faith is off the team

Those are per http://www.jewfaq.org/beliefs.htm, as follows:

1. G-d exists
2. G-d is one and unique
3. G-d is incorporeal
4. G-d is eternal
5. Prayer is to be directed to G-d alone and to no other
6. The words of the prophets are true
7. Moses's prophecies are true, and Moses was the greatest of the prophets
8. The Written Torah (first 5 books of the Bible) and Oral Torah (teachings now contained in the Talmud and other writings) were given to Moses
9. There will be no other Torah
10. G-d knows the thoughts and deeds of men
11. G-d will reward the good and punish the wicked
12. The Messiah will come
13. The dead will be resurrected

[ChicagoHebrew]

The Karaites, on the other hand, have only 10 principles of faith:

1. Creatio ex nihilo; (Creation from nothing)

2. The existence of a Creator, God; (Elohiym)

3. This God (Elohiym) is an absolute unity as well as incorporeal; (indescribable)

4. Moses and the other prophets were sent by God; (Elohiym)

5. God (Elohiym) has given to us the Torah, which is true and complete in every respect, not wanting the addition of the so-called Oral Law;

6. The Torah must be studied by every Jew in the original (Hebrew) language;

7. The Holy Temple was a place elected by God (Elohiym)for His manifestation;

8. Resurrection of the dead;

9. Punishment and reward after death;

10. The Coming of the Messiah, the son of David.

From a Karaite website: http://karaites-beth-shalom.org/karaites_on_resurrection.htm