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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
4.3897.6t13.b.a $4$ $ 3^{2} \cdot 433 $ x6 - x5 - x2 + x + 1 $C_3^2:D_4$ $1$ $0$
4.5517.6t13.a.a $4$ $ 3^{2} \cdot 613 $ x6 - x5 - x4 + 3x3 - 2x + 1 $C_3^2:D_4$ $1$ $0$
4.5648.6t13.b.a $4$ $ 2^{4} \cdot 353 $ x6 - 2x5 + 2x4 - x2 + 1 $C_3^2:D_4$ $1$ $0$
4.6025.6t13.a.a $4$ $ 5^{2} \cdot 241 $ x6 - x5 + x4 - 2x2 + x - 1 $C_3^2:D_4$ $1$ $0$
4.6208.6t13.b.a $4$ $ 2^{6} \cdot 97 $ x6 - 2x5 + 3x4 - 2x3 - 1 $C_3^2:D_4$ $1$ $0$
4.7025.6t13.a.a $4$ $ 5^{2} \cdot 281 $ x6 - x5 - x4 + 2x3 - x2 + 1 $C_3^2:D_4$ $1$ $0$
4.7677.6t13.a.a $4$ $ 3^{2} \cdot 853 $ x6 + x4 - x3 + x2 - 2x + 1 $C_3^2:D_4$ $1$ $0$
4.8001.6t13.a.a $4$ $ 3^{2} \cdot 7 \cdot 127 $ x6 - x5 + 3x3 - x2 - 2x + 1 $C_3^2:D_4$ $1$ $0$
4.10225.6t13.a.a $4$ $ 5^{2} \cdot 409 $ x6 - 2x5 + 2x4 - 2x2 + 3x - 1 $C_3^2:D_4$ $1$ $0$
4.10388.6t13.b.a $4$ $ 2^{2} \cdot 7^{2} \cdot 53 $ x6 - x5 - x3 + 2x2 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.10449.6t13.b.a $4$ $ 3^{5} \cdot 43 $ x6 - 3x4 - 2x3 + 3x2 + 3x + 1 $C_3^2:D_4$ $1$ $0$
4.10525.6t13.b.a $4$ $ 5^{2} \cdot 421 $ x6 - 2x4 - x3 + x2 + x - 1 $C_3^2:D_4$ $1$ $0$
4.11225.6t13.a.a $4$ $ 5^{2} \cdot 449 $ x6 - x5 + x3 - 3x2 + 2x - 1 $C_3^2:D_4$ $1$ $0$
4.11457.6t13.b.a $4$ $ 3^{2} \cdot 19 \cdot 67 $ x6 - x5 - 2x3 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.11920.6t13.a.a $4$ $ 2^{4} \cdot 5 \cdot 149 $ x6 + x2 - 2x + 1 $C_3^2:D_4$ $1$ $0$
4.12352.6t13.b.a $4$ $ 2^{6} \cdot 193 $ x6 - x4 - 2x3 + x2 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.13401.6t13.b.a $4$ $ 3^{2} \cdot 1489 $ x6 - x5 - 3x4 + 4x3 + 3x2 - 4x + 1 $C_3^2:D_4$ $1$ $0$
4.13941.6t13.b.a $4$ $ 3^{2} \cdot 1549 $ x6 - 2x5 - 2x4 + 5x3 + x2 - 3x + 1 $C_3^2:D_4$ $1$ $0$
4.14225.6t13.a.a $4$ $ 5^{2} \cdot 569 $ x6 - 2x5 - x4 + 3x3 - x - 1 $C_3^2:D_4$ $1$ $0$
4.14832.6t13.b.a $4$ $ 2^{4} \cdot 3^{2} \cdot 103 $ x6 - x5 + x4 - 2x3 + x2 + 3x + 1 $C_3^2:D_4$ $1$ $0$
4.14912.6t13.a.a $4$ $ 2^{6} \cdot 233 $ x6 - 2x5 + 2x3 - 2x2 + 2 $C_3^2:D_4$ $1$ $0$
4.15028.6t13.a.a $4$ $ 2^{2} \cdot 13 \cdot 17^{2}$ x6 - x5 - 2x4 + x3 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.15248.6t13.b.a $4$ $ 2^{4} \cdot 953 $ x6 + 3x4 - 2x3 + 4x2 - 2x + 1 $C_3^2:D_4$ $1$ $0$
4.15533.6t13.b.a $4$ $ 7^{2} \cdot 317 $ x6 - x5 + 2x4 - 2x3 + x2 + 1 $C_3^2:D_4$ $1$ $0$
4.15993.6t13.a.a $4$ $ 3^{2} \cdot 1777 $ x6 - 3x5 + 2x4 - x3 + x2 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.16400.6t13.d.a $4$ $ 2^{4} \cdot 5^{2} \cdot 41 $ x6 - 2x5 - x4 + 2x3 + 2x2 - 2x + 1 $C_3^2:D_4$ $1$ $0$
4.16400.6t13.c.a $4$ $ 2^{4} \cdot 5^{2} \cdot 41 $ x6 - x5 + 2x4 - x3 + 2x2 - 3x + 1 $C_3^2:D_4$ $1$ $0$
4.16525.6t13.a.a $4$ $ 5^{2} \cdot 661 $ x6 - x5 + x4 - 3x3 + 2x2 - 2x + 1 $C_3^2:D_4$ $1$ $0$
4.16713.6t13.b.a $4$ $ 3^{3} \cdot 619 $ x6 - x5 + 2x4 - x3 - x2 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.17525.6t13.b.a $4$ $ 5^{2} \cdot 701 $ x6 - 2x5 + 2x4 + x3 - 3x2 + x + 1 $C_3^2:D_4$ $1$ $0$
4.17856.6t13.b.a $4$ $ 2^{6} \cdot 3^{2} \cdot 31 $ x6 - 2x5 + 2x4 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.17984.6t13.b.a $4$ $ 2^{6} \cdot 281 $ x6 - 2x5 + 3x4 - 2x3 + 1 $C_3^2:D_4$ $1$ $0$
4.18688.6t13.b.a $4$ $ 2^{8} \cdot 73 $ x6 - 2x5 + x4 - x2 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.19097.6t13.b.a $4$ $ 13^{2} \cdot 113 $ x6 - 3x5 + 4x4 - 2x3 - 2x2 + 4x - 3 $C_3^2:D_4$ $1$ $0$
4.19197.6t13.b.a $4$ $ 3^{5} \cdot 79 $ x6 - 3x4 - x3 + 3x2 + 1 $C_3^2:D_4$ $1$ $0$
4.19989.6t13.b.a $4$ $ 3^{2} \cdot 2221 $ x6 - x5 - x4 + x3 + 4x2 - 6x + 3 $C_3^2:D_4$ $1$ $0$
4.20025.6t13.a.a $4$ $ 3^{2} \cdot 5^{2} \cdot 89 $ x6 - 2x5 + 4x4 - 4x3 + 2x2 + x - 1 $C_3^2:D_4$ $1$ $0$
4.20525.6t13.a.a $4$ $ 5^{2} \cdot 821 $ x6 - 2x5 + x4 + x3 - x2 - 1 $C_3^2:D_4$ $1$ $0$
4.20624.6t13.b.a $4$ $ 2^{4} \cdot 1289 $ x6 - 2x4 - 2x3 + 2x2 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.20725.6t13.a.a $4$ $ 5^{2} \cdot 829 $ x6 - x5 + x4 + x3 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.20975.6t13.a.a $4$ $ 5^{2} \cdot 839 $ x6 - 2x5 - x4 + x3 + 2x2 + x - 1 $C_3^2:D_4$ $1$ $2$
4.22784.6t13.b.a $4$ $ 2^{8} \cdot 89 $ x6 - 2x5 + x4 - 3x2 + 2x - 1 $C_3^2:D_4$ $1$ $0$
4.23225.6t13.a.a $4$ $ 5^{2} \cdot 929 $ x6 - x5 + 4x4 - x3 + 3x2 - 1 $C_3^2:D_4$ $1$ $0$
4.23488.6t13.a.a $4$ $ 2^{6} \cdot 367 $ x6 - 4x4 - 2x3 + 3x2 + 2x - 1 $C_3^2:D_4$ $1$ $2$
4.23553.6t13.b.a $4$ $ 3^{2} \cdot 2617 $ x6 - x5 + 2x4 - 2x3 + 4x2 + 3 $C_3^2:D_4$ $1$ $0$
4.23616.6t13.b.a $4$ $ 2^{6} \cdot 3^{2} \cdot 41 $ x6 - 2x5 + x4 + 2x3 - 4x2 + 4x - 1 $C_3^2:D_4$ $1$ $0$
4.24048.6t13.a.a $4$ $ 2^{4} \cdot 3^{2} \cdot 167 $ x6 - 2x5 - x2 + 2x + 1 $C_3^2:D_4$ $1$ $2$
4.24128.6t13.a.a $4$ $ 2^{6} \cdot 13 \cdot 29 $ x6 + x4 - 2x3 - x2 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.24208.6t13.b.a $4$ $ 2^{4} \cdot 17 \cdot 89 $ x6 - 2x5 + 2x4 - 2x3 - x2 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.24489.6t13.b.a $4$ $ 3^{3} \cdot 907 $ x6 - x5 + 3x4 - 4x3 + 4x2 - 3x + 3 $C_3^2:D_4$ $1$ $0$
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