query: Nazgul: The WitchKing of Angmar & the other 8 - roots?
positive_passages.docid: 12030
positive_passages.text: Who were the Nazgul before they became wraiths?
negative_passages.docid: 144098
negative_passages.text: Why did the Nazgul start on horseback?
negative_passages.docid: 15202
negative_passages.text: the root of $N$th transpose matrix
negative_passages.docid: 157417
negative_passages.text: Understanding the definition of a multiple (double) root
negative_passages.docid: 39096
negative_passages.text: Primitive elements of GF(8)
negative_passages.docid: 118956
negative_passages.text: Could Sauron have made another ring?
negative_passages.docid: 68662
negative_passages.text: Magic and Men in Lord of the Rings
negative_passages.docid: 28962
negative_passages.text: Of Half-elven and mortal life
negative_passages.docid: 4435
negative_passages.text: What does $\!\bmod(n,x^r-1)$ mean? [in AKS primality test]
negative_passages.docid: 102721
negative_passages.text: Number of elements in the ring $\mathbb Z [i]/\langle 2+2i\rangle$
negative_passages.docid: 93286
negative_passages.text: There are $10$ commutative rings of order $8$
negative_passages.docid: 144211
negative_passages.text: a second course in abstract algebra
negative_passages.docid: 12120
negative_passages.text: The Half-Elven and their choices
negative_passages.docid: 28002
negative_passages.text: How much of Gandalf's power is tied to his staff?
negative_passages.docid: 89723
negative_passages.text: Is there an iconic monster or creature for each alignment?
negative_passages.docid: 104239
negative_passages.text: Are there any more Asgardians?
negative_passages.docid: 16590
negative_passages.text: How many steps are there actually on the path to High Hrothgar