## Results (displaying matches 1-50 of at least 1000) Next

Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
1.101.2t1.1c1 $1$ $101$ x2 - x - 25 $C_2$ $1$ $1$
1.101.4t1.1c1 1.101.4t1.1c2 $1$ $101$ x4 - x3 + 13x2 - 19x + 361 $C_4$ $0$ $-1$
1.101.5t1.1c1 1.101.5t1.1c2 1.101.5t1.1c3 1.101.5t1.1c4 $1$ $101$ x5 - x4 - 40x3 - 93x2 - 21x + 17 $C_5$ $0$ $1$
1.103.2t1.1c1 $1$ $103$ x2 - x + 26 $C_2$ $1$ $-1$
1.103.3t1.1c1 1.103.3t1.1c2 $1$ $103$ x3 - x2 - 34x + 61 $C_3$ $0$ $1$
1.103.6t1.1c1 1.103.6t1.1c2 $1$ $103$ x6 - x5 + 9x4 + 101x3 + 129x2 - 91x + 1373 $C_6$ $0$ $-1$
1.2e3_13.2t1.2c1 $1$ $2^{3} \cdot 13$ x2 + 26 $C_2$ $1$ $-1$
1.2e3_13.2t1.1c1 $1$ $2^{3} \cdot 13$ x2 - 26 $C_2$ $1$ $1$
1.2e3_13.4t1.1c1 1.2e3_13.4t1.1c2 $1$ $2^{3} \cdot 13$ x4 - 26x2 + 52 $C_4$ $0$ $1$
1.2e3_13.4t1.2c1 1.2e3_13.4t1.2c2 $1$ $2^{3} \cdot 13$ x4 + 26x2 + 52 $C_4$ $0$ $-1$
1.2e3_13.6t1.2c1 1.2e3_13.6t1.2c2 $1$ $2^{3} \cdot 13$ x6 - 2x5 - 13x4 + 14x3 + 26x2 - 28x + 1 $C_6$ $0$ $1$
1.2e3_13.6t1.3c1 1.2e3_13.6t1.3c2 $1$ $2^{3} \cdot 13$ x6 - 2x5 - x4 - 2x3 + 34x2 + 28x + 73 $C_6$ $0$ $-1$
1.2e3_13.6t1.1c1 1.2e3_13.6t1.1c2 $1$ $2^{3} \cdot 13$ x6 - 26x4 + 104x2 - 104 $C_6$ $0$ $1$
1.2e3_13.6t1.4c1 1.2e3_13.6t1.4c2 $1$ $2^{3} \cdot 13$ x6 + 26x4 + 104x2 + 104 $C_6$ $0$ $-1$
1.3_5_7.2t1.1c1 $1$ $3 \cdot 5 \cdot 7$ x2 - x - 26 $C_2$ $1$ $1$
1.3_5_7.4t1.1c1 1.3_5_7.4t1.1c2 $1$ $3 \cdot 5 \cdot 7$ x4 - x3 + 26x2 - 26x + 151 $C_4$ $0$ $-1$
1.3_5_7.6t1.2c1 1.3_5_7.6t1.2c2 $1$ $3 \cdot 5 \cdot 7$ x6 - x5 + 7x4 - 5x3 + 49x2 - 9x + 139 $C_6$ $0$ $-1$
1.3_5_7.6t1.1c1 1.3_5_7.6t1.1c2 $1$ $3 \cdot 5 \cdot 7$ x6 - x5 - 27x4 + 27x3 + 197x2 - 197x - 251 $C_6$ $0$ $1$
1.107.2t1.1c1 $1$ $107$ x2 - x + 27 $C_2$ $1$ $-1$
1.109.2t1.1c1 $1$ $109$ x2 - x - 27 $C_2$ $1$ $1$
1.109.3t1.1c1 1.109.3t1.1c2 $1$ $109$ x3 - x2 - 36x + 4 $C_3$ $0$ $1$
1.109.4t1.1c1 1.109.4t1.1c2 $1$ $109$ x4 - x3 + 14x2 + 34x + 393 $C_4$ $0$ $-1$
1.109.6t1.1c1 1.109.6t1.1c2 $1$ $109$ x6 - x5 - 45x4 + 10x3 + 135x2 - 9x - 27 $C_6$ $0$ $1$
1.109.9t1.1c1 1.109.9t1.1c2 1.109.9t1.1c3 1.109.9t1.1c4 1.109.9t1.1c5 1.109.9t1.1c6 $1$ $109$ x9 - x8 - 48x7 + 73x6 + 660x5 - 1454x4 - 2149x3 + 8350x2 - 7432x + 2008 $C_9$ $0$ $1$
1.3_37.2t1.1c1 $1$ $3 \cdot 37$ x2 - x + 28 $C_2$ $1$ $-1$
1.3_37.4t1.1c1 1.3_37.4t1.1c2 $1$ $3 \cdot 37$ x4 - x3 - 32x2 + 30x + 123 $C_4$ $0$ $1$
1.3_37.6t1.1c1 1.3_37.6t1.1c2 $1$ $3 \cdot 37$ x6 - x5 + 13x4 + 34x3 + 133x2 + 132x + 121 $C_6$ $0$ $-1$
1.3_37.6t1.2c1 1.3_37.6t1.2c2 $1$ $3 \cdot 37$ x6 - x5 + 22x4 - 83x3 + 52x2 + 36x + 184 $C_6$ $0$ $-1$
1.2e4_7.4t1.2c1 1.2e4_7.4t1.2c2 $1$ $2^{4} \cdot 7$ x4 + 28x2 + 98 $C_4$ $0$ $-1$
1.2e4_7.4t1.1c1 1.2e4_7.4t1.1c2 $1$ $2^{4} \cdot 7$ x4 - 28x2 + 98 $C_4$ $0$ $1$
1.113.2t1.1c1 $1$ $113$ x2 - x - 28 $C_2$ $1$ $1$
1.113.4t1.1c1 1.113.4t1.1c2 $1$ $113$ x4 - x3 - 42x2 + 120x - 64 $C_4$ $0$ $1$
1.113.7t1.1c1 1.113.7t1.1c2 1.113.7t1.1c3 1.113.7t1.1c4 1.113.7t1.1c5 1.113.7t1.1c6 $1$ $113$ x7 - x6 - 48x5 - 37x4 + 312x3 + 12x2 - 49x + 1 $C_7$ $0$ $1$
1.113.8t1.1c1 1.113.8t1.1c2 1.113.8t1.1c3 1.113.8t1.1c4 $1$ $113$ x8 - x7 - 49x6 - 16x5 + 511x4 + 367x3 - 1499x2 - 798x + 1372 $C_8$ $0$ $1$
1.5_23.2t1.1c1 $1$ $5 \cdot 23$ x2 - x + 29 $C_2$ $1$ $-1$
1.5_23.4t1.1c1 1.5_23.4t1.1c2 $1$ $5 \cdot 23$ x4 - x3 - 29x2 + 29x + 151 $C_4$ $0$ $1$
1.2e2_29.2t1.1c1 $1$ $2^{2} \cdot 29$ x2 + 29 $C_2$ $1$ $-1$
1.2e2_29.4t1.1c1 1.2e2_29.4t1.1c2 $1$ $2^{2} \cdot 29$ x4 - 29x2 + 29 $C_4$ $0$ $1$
1.2e2_29.14t1.1c1 1.2e2_29.14t1.1c2 1.2e2_29.14t1.1c3 1.2e2_29.14t1.1c4 1.2e2_29.14t1.1c5 1.2e2_29.14t1.1c6 $1$ $2^{2} \cdot 29$ x14 + 29x12 + 290x10 + 1247x8 + 2262x6 + 1566x4 + 377x2 + 29 $C_{14}$ $0$ $-1$
1.3e2_13.3t1.2c1 1.3e2_13.3t1.2c2 $1$ $3^{2} \cdot 13$ x3 - 39x - 26 $C_3$ $0$ $1$
1.3e2_13.3t1.1c1 1.3e2_13.3t1.1c2 $1$ $3^{2} \cdot 13$ x3 - 39x - 91 $C_3$ $0$ $1$
1.3e2_13.6t1.2c1 1.3e2_13.6t1.2c2 $1$ $3^{2} \cdot 13$ x6 - 3x5 - 12x4 + 27x3 + 21x2 - 48x + 17 $C_6$ $0$ $1$
1.3e2_13.6t1.3c1 1.3e2_13.6t1.3c2 $1$ $3^{2} \cdot 13$ x6 + 18x4 - 10x3 + 81x2 - 90x + 181 $C_6$ $0$ $-1$
1.3e2_13.6t1.5c1 1.3e2_13.6t1.5c2 $1$ $3^{2} \cdot 13$ x6 - 26x3 + 2197 $C_6$ $0$ $-1$
1.3e2_13.6t1.4c1 1.3e2_13.6t1.4c2 $1$ $3^{2} \cdot 13$ x6 - 91x3 + 2197 $C_6$ $0$ $-1$
1.3e2_13.6t1.1c1 1.3e2_13.6t1.1c2 $1$ $3^{2} \cdot 13$ x6 - 39x4 - 26x3 + 351x2 + 234x - 468 $C_6$ $0$ $1$
1.3e2_13.6t1.7c1 1.3e2_13.6t1.7c2 $1$ $3^{2} \cdot 13$ x6 - 39x4 - 26x3 + 351x2 + 585x + 117 $C_6$ $0$ $1$
1.3e2_13.6t1.6c1 1.3e2_13.6t1.6c2 $1$ $3^{2} \cdot 13$ x6 - 26x3 + 351x2 + 234x + 208 $C_6$ $0$ $-1$
1.3e2_13.6t1.8c1 1.3e2_13.6t1.8c2 $1$ $3^{2} \cdot 13$ x6 - 26x3 + 351x2 - 936x + 793 $C_6$ $0$ $-1$
1.7_17.2t1.1c1 $1$ $7 \cdot 17$ x2 - x + 30 $C_2$ $1$ $-1$
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