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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
1.7_11_13.2t1.1c1 $1$ $ 7 \cdot 11 \cdot 13 $ x2 - x - 250 $C_2$ $1$ $1$
1.7_11_13.4t1.1c1 1.7_11_13.4t1.1c2 $1$ $ 7 \cdot 11 \cdot 13 $ x4 - x3 + 249x2 + 251x + 4943 $C_4$ $0$ $-1$
1.7_11_13.6t1.1c1 1.7_11_13.6t1.1c2 $1$ $ 7 \cdot 11 \cdot 13 $ x6 - x5 + 103x4 - 69x3 + 3857x2 - 1225x + 51947 $C_6$ $0$ $-1$
1.17_59.2t1.1c1 $1$ $ 17 \cdot 59 $ x2 - x + 251 $C_2$ $1$ $-1$
1.17_59.4t1.1c1 1.17_59.4t1.1c2 $1$ $ 17 \cdot 59 $ x4 - x3 + 249x2 + x + 15046 $C_4$ $0$ $-1$
1.2e2_251.2t1.1c1 $1$ $ 2^{2} \cdot 251 $ x2 - 251 $C_2$ $1$ $1$
1.3_5_67.2t1.1c1 $1$ $ 3 \cdot 5 \cdot 67 $ x2 - x - 251 $C_2$ $1$ $1$
1.3_5_67.4t1.1c1 1.3_5_67.4t1.1c2 $1$ $ 3 \cdot 5 \cdot 67 $ x4 - x3 + 251x2 - 251x + 12751 $C_4$ $0$ $-1$
1.19_53.2t1.1c1 $1$ $ 19 \cdot 53 $ x2 - x + 252 $C_2$ $1$ $-1$
1.19_53.6t1.1c1 1.19_53.6t1.1c2 $1$ $ 19 \cdot 53 $ x6 - x5 + 249x4 + 255x3 + 6421x2 + 6417x + 51877 $C_6$ $0$ $-1$
1.1009.2t1.1c1 $1$ $ 1009 $ x2 - x - 252 $C_2$ $1$ $1$
1.1009.3t1.1c1 1.1009.3t1.1c2 $1$ $ 1009 $ x3 - x2 - 336x + 1719 $C_3$ $0$ $1$
1.1009.4t1.1c1 1.1009.4t1.1c2 $1$ $ 1009 $ x4 - x3 - 378x2 + 2081x - 67 $C_4$ $0$ $1$
1.3_337.2t1.1c1 $1$ $ 3 \cdot 337 $ x2 - x + 253 $C_2$ $1$ $-1$
1.3_337.4t1.1c1 1.3_337.4t1.1c2 $1$ $ 3 \cdot 337 $ x4 - x3 + 211x2 + 1032x + 17628 $C_4$ $0$ $-1$
1.2e2_11_23.2t1.1c1 $1$ $ 2^{2} \cdot 11 \cdot 23 $ x2 + 253 $C_2$ $1$ $-1$
1.2e2_11_23.10t1.1c1 1.2e2_11_23.10t1.1c2 1.2e2_11_23.10t1.1c3 1.2e2_11_23.10t1.1c4 $1$ $ 2^{2} \cdot 11 \cdot 23 $ x10 - 2x9 - 122x8 + 198x7 + 5582x6 - 6794x5 - 118785x4 + 94556x3 + 1168426x2 - 446344x - 4240279 $C_{10}$ $0$ $1$
1.1013.2t1.1c1 $1$ $ 1013 $ x2 - x - 253 $C_2$ $1$ $1$
1.1013.4t1.1c1 1.1013.4t1.1c2 $1$ $ 1013 $ x4 - x3 + 127x2 + 2849x + 26983 $C_4$ $0$ $-1$
1.5_7_29.2t1.1c1 $1$ $ 5 \cdot 7 \cdot 29 $ x2 - x + 254 $C_2$ $1$ $-1$
1.5_7_29.4t1.2c1 1.5_7_29.4t1.2c2 $1$ $ 5 \cdot 7 \cdot 29 $ x4 - x3 - 254x2 + 254x + 12751 $C_4$ $0$ $1$
1.5_7_29.4t1.3c1 1.5_7_29.4t1.3c2 $1$ $ 5 \cdot 7 \cdot 29 $ x4 - x3 + 236x2 + 9x + 18351 $C_4$ $0$ $-1$
1.5_7_29.4t1.1c1 1.5_7_29.4t1.1c2 $1$ $ 5 \cdot 7 \cdot 29 $ x4 - x3 + 236x2 + 1024x + 9216 $C_4$ $0$ $-1$
1.2e3_127.2t1.2c1 $1$ $ 2^{3} \cdot 127 $ x2 + 254 $C_2$ $1$ $-1$
1.2e3_127.2t1.1c1 $1$ $ 2^{3} \cdot 127 $ x2 - 254 $C_2$ $1$ $1$
1.3e2_113.6t1.1c1 1.3e2_113.6t1.1c2 $1$ $ 3^{2} \cdot 113 $ x6 + 168x4 - 85x3 + 7056x2 - 7140x + 73081 $C_6$ $0$ $-1$
1.1019.2t1.1c1 $1$ $ 1019 $ x2 - x + 255 $C_2$ $1$ $-1$
1.2e2_3_5_17.2t1.1c1 $1$ $ 2^{2} \cdot 3 \cdot 5 \cdot 17 $ x2 - 255 $C_2$ $1$ $1$
1.2e2_3_5_17.4t1.3c1 1.2e2_3_5_17.4t1.3c2 $1$ $ 2^{2} \cdot 3 \cdot 5 \cdot 17 $ x4 + 255x2 + 13005 $C_4$ $0$ $-1$
1.2e2_3_5_17.4t1.2c1 1.2e2_3_5_17.4t1.2c2 $1$ $ 2^{2} \cdot 3 \cdot 5 \cdot 17 $ x4 + 255x2 + 6885 $C_4$ $0$ $-1$
1.2e2_3_5_17.4t1.1c1 1.2e2_3_5_17.4t1.1c2 $1$ $ 2^{2} \cdot 3 \cdot 5 \cdot 17 $ x4 + 255x2 + 765 $C_4$ $0$ $-1$
1.1021.2t1.1c1 $1$ $ 1021 $ x2 - x - 255 $C_2$ $1$ $1$
1.1021.3t1.1c1 1.1021.3t1.1c2 $1$ $ 1021 $ x3 - x2 - 340x - 416 $C_3$ $0$ $1$
1.3_11_31.2t1.1c1 $1$ $ 3 \cdot 11 \cdot 31 $ x2 - x + 256 $C_2$ $1$ $-1$
1.13_79.2t1.1c1 $1$ $ 13 \cdot 79 $ x2 - x + 257 $C_2$ $1$ $-1$
1.13_79.3t1.2c1 1.13_79.3t1.2c2 $1$ $ 13 \cdot 79 $ x3 - x2 - 342x - 989 $C_3$ $0$ $1$
1.13_79.3t1.1c1 1.13_79.3t1.1c2 $1$ $ 13 \cdot 79 $ x3 - x2 - 342x - 2016 $C_3$ $0$ $1$
1.13_79.4t1.1c1 1.13_79.4t1.1c2 $1$ $ 13 \cdot 79 $ x4 - x3 - 258x2 - 256x + 4943 $C_4$ $0$ $1$
1.13_79.6t1.2c1 1.13_79.6t1.2c2 $1$ $ 13 \cdot 79 $ x6 - x5 + 51x4 - 29x3 + 1195x2 - 703x + 11545 $C_6$ $0$ $-1$
1.13_79.6t1.1c1 1.13_79.6t1.1c2 $1$ $ 13 \cdot 79 $ x6 - x5 - 62x4 + 141x3 + 665x2 - 1882x + 1037 $C_6$ $0$ $1$
1.2e2_257.2t1.1c1 $1$ $ 2^{2} \cdot 257 $ x2 + 257 $C_2$ $1$ $-1$
1.1031.2t1.1c1 $1$ $ 1031 $ x2 - x + 258 $C_2$ $1$ $-1$
1.2e3_3_43.2t1.1c1 $1$ $ 2^{3} \cdot 3 \cdot 43 $ x2 - 258 $C_2$ $1$ $1$
1.2e3_3_43.2t1.2c1 $1$ $ 2^{3} \cdot 3 \cdot 43 $ x2 + 258 $C_2$ $1$ $-1$
1.2e3_3_43.6t1.1c1 1.2e3_3_43.6t1.1c2 $1$ $ 2^{3} \cdot 3 \cdot 43 $ x6 - 2x5 - 45x4 + 36x3 + 308x2 - 304x - 188 $C_6$ $0$ $1$
1.1033.2t1.1c1 $1$ $ 1033 $ x2 - x - 258 $C_2$ $1$ $1$
1.1033.3t1.1c1 1.1033.3t1.1c2 $1$ $ 1033 $ x3 - x2 - 344x - 1913 $C_3$ $0$ $1$
1.3e2_5_23.6t1.1c1 1.3e2_5_23.6t1.1c2 $1$ $ 3^{2} \cdot 5 \cdot 23 $ x6 - 3x5 + 84x4 - 161x3 + 2607x2 - 2706x + 29699 $C_6$ $0$ $-1$
1.2e2_7_37.2t1.1c1 $1$ $ 2^{2} \cdot 7 \cdot 37 $ x2 - 259 $C_2$ $1$ $1$
1.2e2_7_37.4t1.1c1 1.2e2_7_37.4t1.1c2 $1$ $ 2^{2} \cdot 7 \cdot 37 $ x4 + 259x2 + 16317 $C_4$ $0$ $-1$
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