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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
5.14731.6t16.a.a $5$ $ 14731 $ x6 - x5 + x3 - x2 + 1 $S_6$ $1$ $-1$
5.20627.6t16.a.a $5$ $ 20627 $ x6 - x5 + x4 - 2x3 + 2x2 - x + 1 $S_6$ $1$ $-1$
5.22291.6t16.a.a $5$ $ 22291 $ x6 + x4 - x3 - x + 1 $S_6$ $1$ $-1$
5.25747.6t16.a.a $5$ $ 25747 $ x6 - x5 + 2x4 - 2x3 + 3x2 - x + 1 $S_6$ $1$ $-1$
5.27971.6t16.a.a $5$ $ 83 \cdot 337 $ x6 - x5 + x4 - 2x3 + 3x2 - 2x + 1 $S_6$ $1$ $-1$
5.29077.6t16.a.a $5$ $ 29077 $ x6 - x5 + x4 - x2 + 2x - 1 $S_6$ $1$ $1$
5.29189.6t16.a.a $5$ $ 17^{2} \cdot 101 $ x6 - 2x5 + x4 + x3 - 2x2 + x + 1 $S_6$ $1$ $1$
5.30808.6t16.a.a $5$ $ 2^{3} \cdot 3851 $ x6 - x4 - x3 + x2 + x + 1 $S_6$ $1$ $-1$
5.31133.6t16.a.a $5$ $ 163 \cdot 191 $ x6 - 2x4 - x3 + 2x + 1 $S_6$ $1$ $1$
5.31223.6t16.a.a $5$ $ 31223 $ x6 - x5 + x4 - x3 + 2x2 - x + 1 $S_6$ $1$ $-1$
5.31709.6t16.a.a $5$ $ 37 \cdot 857 $ x6 - x5 + 2x3 - 2x2 + 1 $S_6$ $1$ $1$
5.32171.6t16.a.a $5$ $ 53 \cdot 607 $ x6 - x5 + 2x4 - x3 + x2 + 1 $S_6$ $1$ $-1$
5.32911.6t16.a.a $5$ $ 32911 $ x6 - x3 - x2 + x + 1 $S_6$ $1$ $-1$
5.33791.6t16.a.a $5$ $ 33791 $ x6 - x5 + x4 + x3 + x + 1 $S_6$ $1$ $-1$
5.35099.6t16.a.a $5$ $ 35099 $ x6 + x4 + x2 - x + 1 $S_6$ $1$ $-1$
5.36107.6t16.a.a $5$ $ 36107 $ x6 - 2x5 + x4 - x2 + x + 1 $S_6$ $1$ $-1$
5.36235.6t16.a.a $5$ $ 5 \cdot 7247 $ x6 - x5 + x2 - x + 1 $S_6$ $1$ $-1$
5.37253.6t16.a.a $5$ $ 37253 $ x6 - x4 + x2 - x - 1 $S_6$ $1$ $1$
5.37423.6t16.a.a $5$ $ 37423 $ x6 - x5 + x4 + 1 $S_6$ $1$ $-1$
5.37463.6t16.a.a $5$ $ 37463 $ x6 - x4 - x3 + 2x2 + 2x + 1 $S_6$ $1$ $-1$
5.37568.6t16.a.a $5$ $ 2^{6} \cdot 587 $ x6 - 2x5 + 2x4 - x2 + 2x - 1 $S_6$ $1$ $1$
5.39269.6t16.a.a $5$ $ 107 \cdot 367 $ x6 - x5 - 2x4 + 2x3 - 2x + 1 $S_6$ $1$ $1$
5.40277.6t16.a.a $5$ $ 40277 $ x6 - x5 + 2x3 - 3x2 + 3x - 1 $S_6$ $1$ $1$
5.40543.6t16.a.a $5$ $ 40543 $ x6 - 2x5 + 3x4 - 3x3 + 4x2 - 2x + 1 $S_6$ $1$ $-1$
5.41069.6t16.a.a $5$ $ 7 \cdot 5867 $ x6 - 2x4 + 2x2 - x - 1 $S_6$ $1$ $1$
5.42316.6t16.a.a $5$ $ 2^{2} \cdot 71 \cdot 149 $ x6 - x3 + x + 1 $S_6$ $1$ $-1$
5.43063.6t16.a.a $5$ $ 43063 $ x6 - x3 + x2 + 1 $S_6$ $1$ $-1$
5.43531.6t16.a.a $5$ $ 101 \cdot 431 $ x6 - x + 1 $S_6$ $1$ $-1$
5.44423.6t16.a.a $5$ $ 31 \cdot 1433 $ x6 - 2x5 + 2x4 - x2 + x + 1 $S_6$ $1$ $-1$
5.45203.6t16.a.a $5$ $ 17 \cdot 2659 $ x6 - x5 + x4 + x2 - 2x + 1 $S_6$ $1$ $-1$
5.45223.6t16.a.a $5$ $ 41 \cdot 1103 $ x6 - x5 - x4 - x3 + 2x2 + x + 1 $S_6$ $1$ $-1$
5.45301.6t16.a.a $5$ $ 89 \cdot 509 $ x6 - x5 + x4 + x - 1 $S_6$ $1$ $1$
5.45508.6t16.a.a $5$ $ 2^{2} \cdot 31 \cdot 367 $ x6 + x4 - x3 + 3x2 - x + 1 $S_6$ $1$ $-1$
5.45872.6t16.a.a $5$ $ 2^{4} \cdot 47 \cdot 61 $ x6 - x5 - x3 + x + 1 $S_6$ $1$ $-1$
5.46651.6t16.a.a $5$ $ 11 \cdot 4241 $ x6 - 2x5 + 2x4 - x3 + 1 $S_6$ $1$ $-1$
5.46757.6t16.a.a $5$ $ 46757 $ x6 - x5 + 2x3 - 2x2 + 2x - 1 $S_6$ $1$ $1$
5.47149.6t16.a.a $5$ $ 47149 $ x6 - x5 + 3x4 - 2x3 + x2 - 1 $S_6$ $1$ $1$
5.47552.6t16.a.a $5$ $ 2^{6} \cdot 743 $ x6 - 2x5 + 2x4 - 2x3 + x2 + 1 $S_6$ $1$ $-1$
5.47669.6t16.a.a $5$ $ 73 \cdot 653 $ x6 - x5 + x4 - x2 - 1 $S_6$ $1$ $1$
5.47933.6t16.a.a $5$ $ 47933 $ x6 - 2x5 + 2x4 - x3 - 1 $S_6$ $1$ $1$
5.49615.6t16.a.a $5$ $ 5 \cdot 9923 $ x6 - 2x5 + 3x4 - x3 + 1 $S_6$ $1$ $-1$
5.49781.6t16.a.a $5$ $ 67 \cdot 743 $ x6 - x - 1 $S_6$ $1$ $1$
5.50173.6t16.a.a $5$ $ 131 \cdot 383 $ x6 - x5 + x4 + 2x3 - 4x2 + 3x - 1 $S_6$ $1$ $1$
5.50587.6t16.a.a $5$ $ 50587 $ x6 - x5 + 2x4 - 2x3 + 2x2 + 1 $S_6$ $1$ $-1$
5.51757.6t16.a.a $5$ $ 73 \cdot 709 $ x6 - 2x3 - 2x2 + x + 1 $S_6$ $1$ $1$
5.51869.6t16.a.a $5$ $ 51869 $ x6 - 2x5 + x4 + x3 - 2x2 + x - 1 $S_6$ $1$ $1$
5.52271.6t16.a.a $5$ $ 167 \cdot 313 $ x6 - x5 + x4 - x3 + 1 $S_6$ $1$ $-1$
5.52891.6t16.a.a $5$ $ 227 \cdot 233 $ x6 - x5 + 2x4 - x3 + x2 - 2x + 1 $S_6$ $1$ $-1$
5.54691.6t16.a.a $5$ $ 7 \cdot 13 \cdot 601 $ x6 - x5 - 2x3 + 2x2 + 1 $S_6$ $1$ $-1$
5.55376.6t16.a.a $5$ $ 2^{4} \cdot 3461 $ x6 - x5 - 2x4 + 3x3 - x + 1 $S_6$ $1$ $1$
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