## Results (displaying matches 1-50 of 3139) Next

Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
1.101.2t1.a.a $1$ $101$ x2 - x - 25 $C_2$ $1$ $1$
1.101.4t1.a.a 1.101.4t1.a.b $1$ $101$ x4 - x3 + 13x2 - 19x + 361 $C_4$ $0$ $-1$
1.101.5t1.a.a 1.101.5t1.a.b 1.101.5t1.a.c 1.101.5t1.a.d $1$ $101$ x5 - x4 - 40x3 - 93x2 - 21x + 17 $C_5$ $0$ $1$
1.103.2t1.a.a $1$ $103$ x2 - x + 26 $C_2$ $1$ $-1$
1.103.3t1.a.a 1.103.3t1.a.b $1$ $103$ x3 - x2 - 34x + 61 $C_3$ $0$ $1$
1.103.6t1.a.a 1.103.6t1.a.b $1$ $103$ x6 - x5 + 9x4 + 101x3 + 129x2 - 91x + 1373 $C_6$ $0$ $-1$
1.104.2t1.b.a $1$ $2^{3} \cdot 13$ x2 + 26 $C_2$ $1$ $-1$
1.104.2t1.a.a $1$ $2^{3} \cdot 13$ x2 - 26 $C_2$ $1$ $1$
1.104.4t1.a.a 1.104.4t1.a.b $1$ $2^{3} \cdot 13$ x4 - 26x2 + 52 $C_4$ $0$ $1$
1.104.4t1.b.a 1.104.4t1.b.b $1$ $2^{3} \cdot 13$ x4 + 26x2 + 52 $C_4$ $0$ $-1$
1.104.6t1.d.a 1.104.6t1.d.b $1$ $2^{3} \cdot 13$ x6 - 2x5 - x4 - 2x3 + 34x2 + 28x + 73 $C_6$ $0$ $-1$
1.104.6t1.a.a 1.104.6t1.a.b $1$ $2^{3} \cdot 13$ x6 - 2x5 - 13x4 + 14x3 + 26x2 - 28x + 1 $C_6$ $0$ $1$
1.104.6t1.b.a 1.104.6t1.b.b $1$ $2^{3} \cdot 13$ x6 + 26x4 + 104x2 + 104 $C_6$ $0$ $-1$
1.104.6t1.c.a 1.104.6t1.c.b $1$ $2^{3} \cdot 13$ x6 - 26x4 + 104x2 - 104 $C_6$ $0$ $1$
1.105.2t1.a.a $1$ $3 \cdot 5 \cdot 7$ x2 - x - 26 $C_2$ $1$ $1$
1.105.4t1.a.a 1.105.4t1.a.b $1$ $3 \cdot 5 \cdot 7$ x4 - x3 + 26x2 - 26x + 151 $C_4$ $0$ $-1$
1.105.6t1.a.a 1.105.6t1.a.b $1$ $3 \cdot 5 \cdot 7$ x6 - x5 + 7x4 - 5x3 + 49x2 - 9x + 139 $C_6$ $0$ $-1$
1.105.6t1.b.a 1.105.6t1.b.b $1$ $3 \cdot 5 \cdot 7$ x6 - x5 - 27x4 + 27x3 + 197x2 - 197x - 251 $C_6$ $0$ $1$
1.107.2t1.a.a $1$ $107$ x2 - x + 27 $C_2$ $1$ $-1$
1.108.18t1.a.a 1.108.18t1.a.b 1.108.18t1.a.c 1.108.18t1.a.d 1.108.18t1.a.e 1.108.18t1.a.f $1$ $2^{2} \cdot 3^{3}$ x18 + 18x16 + 135x14 + 546x12 + 1287x10 + 1782x8 + 1386x6 + 540x4 + 81x2 + 1 $C_{18}$ $0$ $-1$
1.109.2t1.a.a $1$ $109$ x2 - x - 27 $C_2$ $1$ $1$
1.109.3t1.a.a 1.109.3t1.a.b $1$ $109$ x3 - x2 - 36x + 4 $C_3$ $0$ $1$
1.109.4t1.a.a 1.109.4t1.a.b $1$ $109$ x4 - x3 + 14x2 + 34x + 393 $C_4$ $0$ $-1$
1.109.6t1.a.a 1.109.6t1.a.b $1$ $109$ x6 - x5 - 45x4 + 10x3 + 135x2 - 9x - 27 $C_6$ $0$ $1$
1.109.9t1.a.a 1.109.9t1.a.b 1.109.9t1.a.c 1.109.9t1.a.d 1.109.9t1.a.e 1.109.9t1.a.f $1$ $109$ x9 - x8 - 48x7 + 73x6 + 660x5 - 1454x4 - 2149x3 + 8350x2 - 7432x + 2008 $C_9$ $0$ $1$
1.111.2t1.a.a $1$ $3 \cdot 37$ x2 - x + 28 $C_2$ $1$ $-1$
1.111.4t1.a.a 1.111.4t1.a.b $1$ $3 \cdot 37$ x4 - x3 - 32x2 + 30x + 123 $C_4$ $0$ $1$
1.111.6t1.b.a 1.111.6t1.b.b $1$ $3 \cdot 37$ x6 - x5 + 13x4 + 34x3 + 133x2 + 132x + 121 $C_6$ $0$ $-1$
1.111.6t1.a.a 1.111.6t1.a.b $1$ $3 \cdot 37$ x6 - x5 + 22x4 - 83x3 + 52x2 + 36x + 184 $C_6$ $0$ $-1$
1.112.4t1.b.a 1.112.4t1.b.b $1$ $2^{4} \cdot 7$ x4 + 28x2 + 98 $C_4$ $0$ $-1$
1.112.4t1.a.a 1.112.4t1.a.b $1$ $2^{4} \cdot 7$ x4 - 28x2 + 98 $C_4$ $0$ $1$
1.113.2t1.a.a $1$ $113$ x2 - x - 28 $C_2$ $1$ $1$
1.113.4t1.a.a 1.113.4t1.a.b $1$ $113$ x4 - x3 - 42x2 + 120x - 64 $C_4$ $0$ $1$
1.113.7t1.a.a 1.113.7t1.a.b 1.113.7t1.a.c 1.113.7t1.a.d 1.113.7t1.a.e 1.113.7t1.a.f $1$ $113$ x7 - x6 - 48x5 - 37x4 + 312x3 + 12x2 - 49x + 1 $C_7$ $0$ $1$
1.113.8t1.a.a 1.113.8t1.a.b 1.113.8t1.a.c 1.113.8t1.a.d $1$ $113$ x8 - x7 - 49x6 - 16x5 + 511x4 + 367x3 - 1499x2 - 798x + 1372 $C_8$ $0$ $1$
1.115.2t1.a.a $1$ $5 \cdot 23$ x2 - x + 29 $C_2$ $1$ $-1$
1.115.4t1.a.a 1.115.4t1.a.b $1$ $5 \cdot 23$ x4 - x3 - 29x2 + 29x + 151 $C_4$ $0$ $1$
1.116.2t1.a.a $1$ $2^{2} \cdot 29$ x2 + 29 $C_2$ $1$ $-1$
1.116.4t1.a.a 1.116.4t1.a.b $1$ $2^{2} \cdot 29$ x4 - 29x2 + 29 $C_4$ $0$ $1$
1.116.14t1.a.a 1.116.14t1.a.b 1.116.14t1.a.c 1.116.14t1.a.d 1.116.14t1.a.e 1.116.14t1.a.f $1$ $2^{2} \cdot 29$ x14 + 29x12 + 290x10 + 1247x8 + 2262x6 + 1566x4 + 377x2 + 29 $C_{14}$ $0$ $-1$
1.117.3t1.a.a 1.117.3t1.a.b $1$ $3^{2} \cdot 13$ x3 - 39x - 91 $C_3$ $0$ $1$
1.117.3t1.b.a 1.117.3t1.b.b $1$ $3^{2} \cdot 13$ x3 - 39x - 26 $C_3$ $0$ $1$
1.117.6t1.c.a 1.117.6t1.c.b $1$ $3^{2} \cdot 13$ x6 - 3x5 - 12x4 + 27x3 + 21x2 - 48x + 17 $C_6$ $0$ $1$
1.117.6t1.h.a 1.117.6t1.h.b $1$ $3^{2} \cdot 13$ x6 + 18x4 - 10x3 + 81x2 - 90x + 181 $C_6$ $0$ $-1$
1.117.6t1.b.a 1.117.6t1.b.b $1$ $3^{2} \cdot 13$ x6 - 26x3 + 2197 $C_6$ $0$ $-1$
1.117.6t1.a.a 1.117.6t1.a.b $1$ $3^{2} \cdot 13$ x6 - 91x3 + 2197 $C_6$ $0$ $-1$
1.117.6t1.f.a 1.117.6t1.f.b $1$ $3^{2} \cdot 13$ x6 - 39x4 - 26x3 + 351x2 + 234x - 468 $C_6$ $0$ $1$
1.117.6t1.g.a 1.117.6t1.g.b $1$ $3^{2} \cdot 13$ x6 - 39x4 - 26x3 + 351x2 + 585x + 117 $C_6$ $0$ $1$
1.117.6t1.d.a 1.117.6t1.d.b $1$ $3^{2} \cdot 13$ x6 - 26x3 + 351x2 + 234x + 208 $C_6$ $0$ $-1$
1.117.6t1.e.a 1.117.6t1.e.b $1$ $3^{2} \cdot 13$ x6 - 26x3 + 351x2 - 936x + 793 $C_6$ $0$ $-1$
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