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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
4.3e2_433.6t13.1c1 $4$ $ 3^{2} \cdot 433 $ x6 - x5 - x2 + x + 1 $C_3^2:D_4$ $1$ $0$
4.3e2_613.6t13.2c1 $4$ $ 3^{2} \cdot 613 $ x6 - x5 - x4 + 3x3 - 2x + 1 $C_3^2:D_4$ $1$ $0$
4.2e4_353.6t13.1c1 $4$ $ 2^{4} \cdot 353 $ x6 - 2x5 + 2x4 - x2 + 1 $C_3^2:D_4$ $1$ $0$
4.5e2_241.6t13.2c1 $4$ $ 5^{2} \cdot 241 $ x6 - x5 + x4 - 2x2 + x - 1 $C_3^2:D_4$ $1$ $0$
4.2e6_97.6t13.2c1 $4$ $ 2^{6} \cdot 97 $ x6 - 2x5 + 3x4 - 2x3 - 1 $C_3^2:D_4$ $1$ $0$
4.5e2_281.6t13.1c1 $4$ $ 5^{2} \cdot 281 $ x6 - x5 - x4 + 2x3 - x2 + 1 $C_3^2:D_4$ $1$ $0$
4.3e2_853.6t13.2c1 $4$ $ 3^{2} \cdot 853 $ x6 + x4 - x3 + x2 - 2x + 1 $C_3^2:D_4$ $1$ $0$
4.3e2_7_127.6t13.2c1 $4$ $ 3^{2} \cdot 7 \cdot 127 $ x6 - x5 + 3x3 - x2 - 2x + 1 $C_3^2:D_4$ $1$ $0$
4.5e2_409.6t13.1c1 $4$ $ 5^{2} \cdot 409 $ x6 - 2x5 + 2x4 - 2x2 + 3x - 1 $C_3^2:D_4$ $1$ $0$
4.2e2_7e2_53.6t13.1c1 $4$ $ 2^{2} \cdot 7^{2} \cdot 53 $ x6 - x5 - x3 + 2x2 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.3e5_43.6t13.2c1 $4$ $ 3^{5} \cdot 43 $ x6 - 3x4 - 2x3 + 3x2 + 3x + 1 $C_3^2:D_4$ $1$ $0$
4.5e2_421.6t13.1c1 $4$ $ 5^{2} \cdot 421 $ x6 - 2x4 - x3 + x2 + x - 1 $C_3^2:D_4$ $1$ $0$
4.5e2_449.6t13.2c1 $4$ $ 5^{2} \cdot 449 $ x6 - x5 + x3 - 3x2 + 2x - 1 $C_3^2:D_4$ $1$ $0$
4.3e2_19_67.6t13.2c1 $4$ $ 3^{2} \cdot 19 \cdot 67 $ x6 - x5 - 2x3 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.2e4_5_149.6t13.2c1 $4$ $ 2^{4} \cdot 5 \cdot 149 $ x6 + x2 - 2x + 1 $C_3^2:D_4$ $1$ $0$
4.2e6_193.6t13.2c1 $4$ $ 2^{6} \cdot 193 $ x6 - x4 - 2x3 + x2 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.3e2_1489.6t13.2c1 $4$ $ 3^{2} \cdot 1489 $ x6 - x5 - 3x4 + 4x3 + 3x2 - 4x + 1 $C_3^2:D_4$ $1$ $0$
4.3e2_1549.6t13.2c1 $4$ $ 3^{2} \cdot 1549 $ x6 - 2x5 - 2x4 + 5x3 + x2 - 3x + 1 $C_3^2:D_4$ $1$ $0$
4.5e2_569.6t13.1c1 $4$ $ 5^{2} \cdot 569 $ x6 - 2x5 - x4 + 3x3 - x - 1 $C_3^2:D_4$ $1$ $0$
4.2e4_3e2_103.6t13.1c1 $4$ $ 2^{4} \cdot 3^{2} \cdot 103 $ x6 - x5 + x4 - 2x3 + x2 + 3x + 1 $C_3^2:D_4$ $1$ $0$
4.2e6_233.6t13.2c1 $4$ $ 2^{6} \cdot 233 $ x6 - 2x5 + 2x3 - 2x2 + 2 $C_3^2:D_4$ $1$ $0$
4.2e2_13_17e2.6t13.2c1 $4$ $ 2^{2} \cdot 13 \cdot 17^{2}$ x6 - x5 - 2x4 + x3 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.2e4_953.6t13.2c1 $4$ $ 2^{4} \cdot 953 $ x6 + 3x4 - 2x3 + 4x2 - 2x + 1 $C_3^2:D_4$ $1$ $0$
4.7e2_317.6t13.1c1 $4$ $ 7^{2} \cdot 317 $ x6 - x5 + 2x4 - 2x3 + x2 + 1 $C_3^2:D_4$ $1$ $0$
4.3e2_1777.6t13.1c1 $4$ $ 3^{2} \cdot 1777 $ x6 - 3x5 + 2x4 - x3 + x2 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.2e4_5e2_41.6t13.1c1 $4$ $ 2^{4} \cdot 5^{2} \cdot 41 $ x6 - x5 + 2x4 - x3 + 2x2 - 3x + 1 $C_3^2:D_4$ $1$ $0$
4.2e4_5e2_41.6t13.2c1 $4$ $ 2^{4} \cdot 5^{2} \cdot 41 $ x6 - 2x5 - x4 + 2x3 + 2x2 - 2x + 1 $C_3^2:D_4$ $1$ $0$
4.5e2_661.6t13.2c1 $4$ $ 5^{2} \cdot 661 $ x6 - x5 + x4 - 3x3 + 2x2 - 2x + 1 $C_3^2:D_4$ $1$ $0$
4.3e3_619.6t13.2c1 $4$ $ 3^{3} \cdot 619 $ x6 - x5 + 2x4 - x3 - x2 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.5e2_701.6t13.1c1 $4$ $ 5^{2} \cdot 701 $ x6 - 2x5 + 2x4 + x3 - 3x2 + x + 1 $C_3^2:D_4$ $1$ $0$
4.2e6_3e2_31.6t13.1c1 $4$ $ 2^{6} \cdot 3^{2} \cdot 31 $ x6 - 2x5 + 2x4 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.2e6_281.6t13.1c1 $4$ $ 2^{6} \cdot 281 $ x6 - 2x5 + 3x4 - 2x3 + 1 $C_3^2:D_4$ $1$ $0$
4.2e8_73.6t13.1c1 $4$ $ 2^{8} \cdot 73 $ x6 - 2x5 + x4 - x2 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.13e2_113.6t13.2c1 $4$ $ 13^{2} \cdot 113 $ x6 - 3x5 + 4x4 - 2x3 - 2x2 + 4x - 3 $C_3^2:D_4$ $1$ $0$
4.3e5_79.6t13.1c1 $4$ $ 3^{5} \cdot 79 $ x6 - 3x4 - x3 + 3x2 + 1 $C_3^2:D_4$ $1$ $0$
4.3e2_2221.6t13.2c1 $4$ $ 3^{2} \cdot 2221 $ x6 - x5 - x4 + x3 + 4x2 - 6x + 3 $C_3^2:D_4$ $1$ $0$
4.3e2_5e2_89.6t13.1c1 $4$ $ 3^{2} \cdot 5^{2} \cdot 89 $ x6 - 2x5 + 4x4 - 4x3 + 2x2 + x - 1 $C_3^2:D_4$ $1$ $0$
4.5e2_821.6t13.1c1 $4$ $ 5^{2} \cdot 821 $ x6 - 2x5 + x4 + x3 - x2 - 1 $C_3^2:D_4$ $1$ $0$
4.2e4_1289.6t13.1c1 $4$ $ 2^{4} \cdot 1289 $ x6 - 2x4 - 2x3 + 2x2 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.5e2_829.6t13.2c1 $4$ $ 5^{2} \cdot 829 $ x6 - x5 + x4 + x3 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.5e2_839.6t13.1c1 $4$ $ 5^{2} \cdot 839 $ x6 - 2x5 - x4 + x3 + 2x2 + x - 1 $C_3^2:D_4$ $1$ $2$
4.2e8_89.6t13.1c1 $4$ $ 2^{8} \cdot 89 $ x6 - 2x5 + x4 - 3x2 + 2x - 1 $C_3^2:D_4$ $1$ $0$
4.5e2_929.6t13.1c1 $4$ $ 5^{2} \cdot 929 $ x6 - x5 + 4x4 - x3 + 3x2 - 1 $C_3^2:D_4$ $1$ $0$
4.2e6_367.6t13.1c1 $4$ $ 2^{6} \cdot 367 $ x6 - 4x4 - 2x3 + 3x2 + 2x - 1 $C_3^2:D_4$ $1$ $2$
4.3e2_2617.6t13.2c1 $4$ $ 3^{2} \cdot 2617 $ x6 - x5 + 2x4 - 2x3 + 4x2 + 3 $C_3^2:D_4$ $1$ $0$
4.2e6_3e2_41.6t13.2c1 $4$ $ 2^{6} \cdot 3^{2} \cdot 41 $ x6 - 2x5 + x4 + 2x3 - 4x2 + 4x - 1 $C_3^2:D_4$ $1$ $0$
4.2e4_3e2_167.6t13.1c1 $4$ $ 2^{4} \cdot 3^{2} \cdot 167 $ x6 - 2x5 - x2 + 2x + 1 $C_3^2:D_4$ $1$ $2$
4.2e6_13_29.6t13.1c1 $4$ $ 2^{6} \cdot 13 \cdot 29 $ x6 + x4 - 2x3 - x2 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.2e4_17_89.6t13.1c1 $4$ $ 2^{4} \cdot 17 \cdot 89 $ x6 - 2x5 + 2x4 - 2x3 - x2 + 2x + 1 $C_3^2:D_4$ $1$ $0$
4.3e3_907.6t13.2c1 $4$ $ 3^{3} \cdot 907 $ x6 - x5 + 3x4 - 4x3 + 4x2 - 3x + 3 $C_3^2:D_4$ $1$ $0$
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