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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
1.1001.2t1.a.a $1$ $ 7 \cdot 11 \cdot 13 $ x2 - x - 250 $C_2$ $1$ $1$
1.1001.4t1.a.a 1.1001.4t1.a.b $1$ $ 7 \cdot 11 \cdot 13 $ x4 - x3 + 249x2 + 251x + 4943 $C_4$ $0$ $-1$
1.1001.6t1.b.a 1.1001.6t1.b.b $1$ $ 7 \cdot 11 \cdot 13 $ x6 - x5 + 103x4 - 69x3 + 3857x2 - 1225x + 51947 $C_6$ $0$ $-1$
1.1001.6t1.a.a 1.1001.6t1.a.b $1$ $ 7 \cdot 11 \cdot 13 $ x6 - x5 - 52x4 + 109x3 + 897x2 - 3168x + 4887 $C_6$ $0$ $-1$
1.1001.6t1.c.a 1.1001.6t1.c.b $1$ $ 7 \cdot 11 \cdot 13 $ x6 - x5 - 52x4 - 73x3 + 988x2 + 3839x + 5251 $C_6$ $0$ $-1$
1.1003.2t1.a.a $1$ $ 17 \cdot 59 $ x2 - x + 251 $C_2$ $1$ $-1$
1.1003.4t1.a.a 1.1003.4t1.a.b $1$ $ 17 \cdot 59 $ x4 - x3 + 249x2 + x + 15046 $C_4$ $0$ $-1$
1.1004.2t1.a.a $1$ $ 2^{2} \cdot 251 $ x2 - 251 $C_2$ $1$ $1$
1.1005.2t1.a.a $1$ $ 3 \cdot 5 \cdot 67 $ x2 - x - 251 $C_2$ $1$ $1$
1.1005.4t1.a.a 1.1005.4t1.a.b $1$ $ 3 \cdot 5 \cdot 67 $ x4 - x3 + 251x2 - 251x + 12751 $C_4$ $0$ $-1$
1.1007.2t1.a.a $1$ $ 19 \cdot 53 $ x2 - x + 252 $C_2$ $1$ $-1$
1.1007.6t1.a.a 1.1007.6t1.a.b $1$ $ 19 \cdot 53 $ x6 - x5 + 249x4 + 255x3 + 6421x2 + 6417x + 51877 $C_6$ $0$ $-1$
1.1009.2t1.a.a $1$ $ 1009 $ x2 - x - 252 $C_2$ $1$ $1$
1.1009.3t1.a.a 1.1009.3t1.a.b $1$ $ 1009 $ x3 - x2 - 336x + 1719 $C_3$ $0$ $1$
1.1009.4t1.a.a 1.1009.4t1.a.b $1$ $ 1009 $ x4 - x3 - 378x2 + 2081x - 67 $C_4$ $0$ $1$
1.1011.2t1.a.a $1$ $ 3 \cdot 337 $ x2 - x + 253 $C_2$ $1$ $-1$
1.1011.4t1.a.a 1.1011.4t1.a.b $1$ $ 3 \cdot 337 $ x4 - x3 + 211x2 + 1032x + 17628 $C_4$ $0$ $-1$
1.1011.14t1.a.a 1.1011.14t1.a.b 1.1011.14t1.a.c 1.1011.14t1.a.d 1.1011.14t1.a.e 1.1011.14t1.a.f $1$ $ 3 \cdot 337 $ x14 - x13 + 145x12 + 942x11 + 17921x10 + 73096x9 + 539575x8 + 2139126x7 + 11706638x6 + 34577138x5 + 91138731x4 + 111084264x3 + 103941065x2 + 13397947x + 1530169 $C_{14}$ $0$ $-1$
1.1012.2t1.a.a $1$ $ 2^{2} \cdot 11 \cdot 23 $ x2 + 253 $C_2$ $1$ $-1$
1.1012.10t1.a.a 1.1012.10t1.a.b 1.1012.10t1.a.c 1.1012.10t1.a.d $1$ $ 2^{2} \cdot 11 \cdot 23 $ x10 - 2x9 - 122x8 + 198x7 + 5582x6 - 6794x5 - 118785x4 + 94556x3 + 1168426x2 - 446344x - 4240279 $C_{10}$ $0$ $1$
1.1013.2t1.a.a $1$ $ 1013 $ x2 - x - 253 $C_2$ $1$ $1$
1.1013.4t1.a.a 1.1013.4t1.a.b $1$ $ 1013 $ x4 - x3 + 127x2 + 2849x + 26983 $C_4$ $0$ $-1$
1.1015.2t1.a.a $1$ $ 5 \cdot 7 \cdot 29 $ x2 - x + 254 $C_2$ $1$ $-1$
1.1015.4t1.a.a 1.1015.4t1.a.b $1$ $ 5 \cdot 7 \cdot 29 $ x4 - x3 - 254x2 + 254x + 12751 $C_4$ $0$ $1$
1.1015.4t1.b.a 1.1015.4t1.b.b $1$ $ 5 \cdot 7 \cdot 29 $ x4 - x3 + 236x2 + 1024x + 9216 $C_4$ $0$ $-1$
1.1015.4t1.c.a 1.1015.4t1.c.b $1$ $ 5 \cdot 7 \cdot 29 $ x4 - x3 + 236x2 + 9x + 18351 $C_4$ $0$ $-1$
1.1015.6t1.a.a 1.1015.6t1.a.b $1$ $ 5 \cdot 7 \cdot 29 $ x6 - x5 + 253x4 - 253x3 + 18397x2 - 18397x + 344989 $C_6$ $0$ $-1$
1.1016.2t1.a.a $1$ $ 2^{3} \cdot 127 $ x2 - 254 $C_2$ $1$ $1$
1.1016.2t1.b.a $1$ $ 2^{3} \cdot 127 $ x2 + 254 $C_2$ $1$ $-1$
1.1017.6t1.a.a 1.1017.6t1.a.b $1$ $ 3^{2} \cdot 113 $ x6 + 168x4 - 85x3 + 7056x2 - 7140x + 73081 $C_6$ $0$ $-1$
1.1019.2t1.a.a $1$ $ 1019 $ x2 - x + 255 $C_2$ $1$ $-1$
1.1020.2t1.a.a $1$ $ 2^{2} \cdot 3 \cdot 5 \cdot 17 $ x2 - 255 $C_2$ $1$ $1$
1.1020.4t1.c.a 1.1020.4t1.c.b $1$ $ 2^{2} \cdot 3 \cdot 5 \cdot 17 $ x4 + 255x2 + 13005 $C_4$ $0$ $-1$
1.1020.4t1.b.a 1.1020.4t1.b.b $1$ $ 2^{2} \cdot 3 \cdot 5 \cdot 17 $ x4 + 255x2 + 6885 $C_4$ $0$ $-1$
1.1020.4t1.a.a 1.1020.4t1.a.b $1$ $ 2^{2} \cdot 3 \cdot 5 \cdot 17 $ x4 + 255x2 + 765 $C_4$ $0$ $-1$
1.1021.2t1.a.a $1$ $ 1021 $ x2 - x - 255 $C_2$ $1$ $1$
1.1021.3t1.a.a 1.1021.3t1.a.b $1$ $ 1021 $ x3 - x2 - 340x - 416 $C_3$ $0$ $1$
1.1023.2t1.a.a $1$ $ 3 \cdot 11 \cdot 31 $ x2 - x + 256 $C_2$ $1$ $-1$
1.1023.6t1.a.a 1.1023.6t1.a.b $1$ $ 3 \cdot 11 \cdot 31 $ x6 - x5 - 45x4 + 21x3 + 308x2 - 236x + 16 $C_6$ $0$ $1$
1.1027.2t1.a.a $1$ $ 13 \cdot 79 $ x2 - x + 257 $C_2$ $1$ $-1$
1.1027.3t1.b.a 1.1027.3t1.b.b $1$ $ 13 \cdot 79 $ x3 - x2 - 342x - 989 $C_3$ $0$ $1$
1.1027.3t1.a.a 1.1027.3t1.a.b $1$ $ 13 \cdot 79 $ x3 - x2 - 342x - 2016 $C_3$ $0$ $1$
1.1027.4t1.a.a 1.1027.4t1.a.b $1$ $ 13 \cdot 79 $ x4 - x3 - 258x2 - 256x + 4943 $C_4$ $0$ $1$
1.1027.6t1.b.a 1.1027.6t1.b.b $1$ $ 13 \cdot 79 $ x6 - x5 + 51x4 - 29x3 + 1195x2 - 703x + 11545 $C_6$ $0$ $-1$
1.1027.6t1.a.a 1.1027.6t1.a.b $1$ $ 13 \cdot 79 $ x6 - x5 - 62x4 + 141x3 + 665x2 - 1882x + 1037 $C_6$ $0$ $1$
1.1028.2t1.a.a $1$ $ 2^{2} \cdot 257 $ x2 + 257 $C_2$ $1$ $-1$
1.1031.2t1.a.a $1$ $ 1031 $ x2 - x + 258 $C_2$ $1$ $-1$
1.1032.2t1.b.a $1$ $ 2^{3} \cdot 3 \cdot 43 $ x2 + 258 $C_2$ $1$ $-1$
1.1032.2t1.a.a $1$ $ 2^{3} \cdot 3 \cdot 43 $ x2 - 258 $C_2$ $1$ $1$
1.1032.6t1.b.a 1.1032.6t1.b.b $1$ $ 2^{3} \cdot 3 \cdot 43 $ x6 - 2x5 - 9x4 - 12x3 + 332x2 + 608x + 2404 $C_6$ $0$ $-1$
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