Results (1-50 of at least 1000)

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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
2.23.3t2.b.a $2$ $23$ x3 - x2 + 1 $S_3$ $1$ $0$
2.31.3t2.b.a $2$ $31$ x3 + x - 1 $S_3$ $1$ $0$
2.39.4t3.a.a $2$ $3 \cdot 13$ x4 - x3 - x2 + x + 1 $D_{4}$ $1$ $0$
2.44.3t2.b.a $2$ $2^{2} \cdot 11$ x3 - x2 + x + 1 $S_3$ $1$ $0$
2.47.5t2.a.a 2.47.5t2.a.b $2$ $47$ x5 - 2x4 + 2x3 - x2 + 1 $D_{5}$ $1$ $0$
2.52.6t5.b.a 2.52.6t5.b.b $2$ $2^{2} \cdot 13$ x6 - x4 - 2x3 + 2x + 1 $S_3\times C_3$ $0$ $0$
2.55.4t3.c.a $2$ $5 \cdot 11$ x4 - x3 + 2x - 1 $D_{4}$ $1$ $0$
2.56.4t3.b.a $2$ $2^{3} \cdot 7$ x4 - x3 + x + 1 $D_{4}$ $1$ $0$
2.57.6t5.a.a 2.57.6t5.a.b $2$ $3 \cdot 19$ x6 - x5 + x4 - 2x3 + 4x2 - 3x + 1 $S_3\times C_3$ $0$ $0$
2.59.3t2.a.a $2$ $59$ x3 + 2x - 1 $S_3$ $1$ $0$
2.63.4t3.a.a $2$ $3^{2} \cdot 7$ x4 - x3 + 2x + 1 $D_{4}$ $1$ $0$
2.68.4t3.a.a $2$ $2^{2} \cdot 17$ x4 + x2 - 2x + 1 $D_{4}$ $1$ $0$
2.68.8t17.a.a 2.68.8t17.a.b $2$ $2^{2} \cdot 17$ x8 - 2x7 + 4x5 - 4x4 + 3x2 - 2x + 1 $C_4\wr C_2$ $0$ $0$
2.71.7t2.a.a 2.71.7t2.a.b 2.71.7t2.a.c $2$ $71$ x7 - x6 - x5 + x4 - x3 - x2 + 2x + 1 $D_{7}$ $1$ $0$
2.72.6t5.b.a 2.72.6t5.b.b $2$ $2^{3} \cdot 3^{2}$ x6 - 2x5 + 3x4 - 2x3 + 2x2 + 1 $S_3\times C_3$ $0$ $0$
2.76.3t2.a.a $2$ $2^{2} \cdot 19$ x3 - 2x - 2 $S_3$ $1$ $0$
2.77.10t6.b.a 2.77.10t6.b.b 2.77.10t6.b.c 2.77.10t6.b.d $2$ $7 \cdot 11$ x10 - 3x9 + 7x8 - 12x7 + 15x6 - 15x5 + 12x4 - 7x3 + 4x2 - 2x + 1 $D_5\times C_5$ $0$ $0$
2.79.5t2.a.a 2.79.5t2.a.b $2$ $79$ x5 - x4 + x3 - 2x2 + 3x - 1 $D_{5}$ $1$ $0$
2.80.4t3.a.a $2$ $2^{4} \cdot 5$ x4 - 2x3 + 2 $D_{4}$ $1$ $0$
2.83.3t2.a.a $2$ $83$ x3 - x2 + x - 2 $S_3$ $1$ $0$
2.84.6t5.b.a 2.84.6t5.b.b $2$ $2^{2} \cdot 3 \cdot 7$ x6 - 3x5 + 4x4 - x3 - 2x2 + x + 1 $S_3\times C_3$ $0$ $0$
2.87.3t2.a.a $2$ $3 \cdot 29$ x3 - x2 + 2x + 1 $S_3$ $1$ $0$
2.87.6t3.b.a $2$ $3 \cdot 29$ x6 - x5 + 4x4 - 4x3 + 5x2 - 3x + 1 $D_{6}$ $1$ $0$
2.88.10t6.b.a 2.88.10t6.b.b 2.88.10t6.b.c 2.88.10t6.b.d $2$ $2^{3} \cdot 11$ x10 - 2x9 + x8 + 2x7 - 3x6 + 2x4 + 2x3 - x2 - 2x + 1 $D_5\times C_5$ $0$ $0$
2.93.10t6.b.a 2.93.10t6.b.b 2.93.10t6.b.c 2.93.10t6.b.d $2$ $3 \cdot 31$ x10 + 2x8 - 3x7 + 3x6 - 7x5 + 8x4 - 7x3 + 7x2 - 4x + 1 $D_5\times C_5$ $0$ $0$
2.95.4t3.c.a $2$ $5 \cdot 19$ x4 - 2x3 + 2x2 - x - 1 $D_{4}$ $1$ $0$
2.95.8t6.a.a 2.95.8t6.a.b $2$ $5 \cdot 19$ x8 - x7 + x5 - 2x4 - x3 + 2x2 + 2x - 1 $D_{8}$ $1$ $0$
2.99.6t5.a.a 2.99.6t5.a.b $2$ $3^{2} \cdot 11$ x6 - x4 - 2x3 + 3x2 + x + 1 $S_3\times C_3$ $0$ $0$
2.100.10t6.b.a 2.100.10t6.b.b 2.100.10t6.b.c 2.100.10t6.b.d $2$ $2^{2} \cdot 5^{2}$ x10 - 4x9 + 9x8 - 14x7 + 15x6 - 10x5 + 3x4 + 2x3 - 2x2 + 1 $D_5\times C_5$ $0$ $0$
2.103.5t2.a.a 2.103.5t2.a.b $2$ $103$ x5 - 2x4 + 3x3 - 3x2 + x + 1 $D_{5}$ $1$ $0$
2.104.3t2.b.a $2$ $2^{3} \cdot 13$ x3 - x - 2 $S_3$ $1$ $0$
2.104.6t3.a.a $2$ $2^{3} \cdot 13$ x6 + 2x4 - 2x3 + 2x2 + 1 $D_{6}$ $1$ $0$
2.107.3t2.a.a $2$ $107$ x3 - x2 + 3x - 2 $S_3$ $1$ $0$
2.108.3t2.b.a $2$ $2^{2} \cdot 3^{3}$ x3 - 2 $S_3$ $1$ $0$
2.111.4t3.a.a $2$ $3 \cdot 37$ x4 - x3 - 2x2 + 3 $D_{4}$ $1$ $0$
2.111.8t6.a.a 2.111.8t6.a.b $2$ $3 \cdot 37$ x8 - 3x7 + 3x6 - 3x5 + 5x4 - 6x3 + 6x2 - 3x + 1 $D_{8}$ $1$ $0$
2.111.6t5.a.a 2.111.6t5.a.b $2$ $3 \cdot 37$ x6 - 3x5 + 4x4 - 2x3 - 2x2 + 2x + 1 $S_3\times C_3$ $0$ $0$
2.112.8t17.a.a 2.112.8t17.a.b $2$ $2^{4} \cdot 7$ x8 - 3x7 + 6x6 - 8x5 + 10x4 - 9x3 + 6x2 - 2x + 1 $C_4\wr C_2$ $0$ $0$
2.116.3t2.a.a $2$ $2^{2} \cdot 29$ x3 - x2 - 2 $S_3$ $1$ $0$
2.116.6t3.b.a $2$ $2^{2} \cdot 29$ x6 - 2x3 + x2 + 2x + 2 $D_{6}$ $1$ $0$
2.116.14t8.b.a 2.116.14t8.b.b 2.116.14t8.b.c 2.116.14t8.b.d 2.116.14t8.b.e 2.116.14t8.b.f $2$ $2^{2} \cdot 29$ x14 - 4x13 + 7x12 - 4x11 - 8x10 + 24x9 - 30x8 + 16x7 + 13x6 - 38x5 + 46x4 - 36x3 + 19x2 - 6x + 1 $C_7 \wr C_2$ $0$ $0$
2.117.8t17.b.a 2.117.8t17.b.b $2$ $3^{2} \cdot 13$ x8 - 2x6 - 3x5 + 3x4 + 3x3 - 2x2 + 1 $C_4\wr C_2$ $0$ $0$
2.119.5t2.a.a 2.119.5t2.a.b $2$ $7 \cdot 17$ x5 - x4 - x2 + 3x - 1 $D_{5}$ $1$ $0$
2.120.8t11.c.a 2.120.8t11.c.b $2$ $2^{3} \cdot 3 \cdot 5$ x8 - 3x7 + 3x6 + x5 - 2x4 - 3x3 + 7x2 - 4x + 1 $Q_8:C_2$ $0$ $0$
2.124.16t60.a.a 2.124.16t60.a.b 2.124.16t60.a.c 2.124.16t60.a.d $2$ $2^{2} \cdot 31$ x16 - 2x14 + x12 + 6x10 + 12x8 - 6x6 + x4 + 2x2 + 1 16T60 $0$ $0$
2.127.5t2.a.a 2.127.5t2.a.b $2$ $127$ x5 - x4 - 2x3 + x2 + 3x - 1 $D_{5}$ $1$ $0$
2.128.4t3.a.a $2$ $2^{7}$ x4 - 2x2 + 2 $D_{4}$ $1$ $0$
2.129.14t8.a.a 2.129.14t8.a.b 2.129.14t8.a.c 2.129.14t8.a.d 2.129.14t8.a.e 2.129.14t8.a.f $2$ $3 \cdot 43$ x14 - 3x13 + 8x12 - 18x11 + 32x10 - 52x9 + 70x8 - 81x7 + 82x6 - 70x5 + 52x4 - 31x3 + 16x2 - 6x + 1 $C_7 \wr C_2$ $0$ $0$
2.131.5t2.a.a 2.131.5t2.a.b $2$ $131$ x5 - x4 + 2x3 - x2 + x + 2 $D_{5}$ $1$ $0$
2.133.6t5.a.a 2.133.6t5.a.b $2$ $7 \cdot 19$ x6 - x5 + x4 + 5x2 + 4x + 1 $S_3\times C_3$ $0$ $0$
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