The label for an Artin representation takes the form A.B.C.DcE where

- A is the dimension of the representation
- B is the conductor of the representation, the format for which is explained below
- C is the smallest permutation representation for which this representation is a factor. If the degree is small enough, we give the degree
*d*and t-number*j*in the form`dtj`

; otherwise we use just the degree`d`

. - D is an index to distinguish cases where non-Galois conjugate representations have the same dimension, conductor, and smallest permutation representation
- E is an index for the representation within its Galois conjugates

The conductor is given in factored form with the following encoding. Underscores (_) are to be interpreted as multiplication signs and "e" indicates exponentiation. So, 2e3_59 converts to $2^3\cdot 59$.

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**Knowl status:**

- Review status: beta
- Last edited by John Jones on 2016-06-29 01:19:50

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