## 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 $\chi(c)$
2.23.3t2.1c1 $2$ $23$ x3 - x2 + 1 $S_3$ $1$ $0$
2.31.3t2.1c1 $2$ $31$ x3 + x - 1 $S_3$ $1$ $0$
2.3_13.4t3.2c1 $2$ $3 \cdot 13$ x4 - x3 - x2 + x + 1 $D_{4}$ $1$ $0$
2.2e2_11.3t2.1c1 $2$ $2^{2} \cdot 11$ x3 - x2 + x + 1 $S_3$ $1$ $0$
2.47.5t2.1c1 2.47.5t2.1c2 $2$ $47$ x5 - 2x4 + 2x3 - x2 + 1 $D_{5}$ $1$ $0$
2.2e2_13.6t5.1c1 2.2e2_13.6t5.1c2 $2$ $2^{2} \cdot 13$ x6 - x4 - 2x3 + 2x + 1 $S_3\times C_3$ $0$ $0$
2.5_11.4t3.1c1 $2$ $5 \cdot 11$ x4 - x3 + 2x - 1 $D_{4}$ $1$ $0$
2.2e3_7.4t3.2c1 $2$ $2^{3} \cdot 7$ x4 - x3 + x + 1 $D_{4}$ $1$ $0$
2.3_19.6t5.1c1 2.3_19.6t5.1c2 $2$ $3 \cdot 19$ x6 - x5 + x4 - 2x3 + 4x2 - 3x + 1 $S_3\times C_3$ $0$ $0$
2.59.3t2.1c1 $2$ $59$ x3 + 2x - 1 $S_3$ $1$ $0$
2.3e2_7.4t3.2c1 $2$ $3^{2} \cdot 7$ x4 - x3 + 2x + 1 $D_{4}$ $1$ $0$
2.2e2_17.4t3.1c1 $2$ $2^{2} \cdot 17$ x4 + x2 - 2x + 1 $D_{4}$ $1$ $0$
2.2e2_17.8t17.1c1 2.2e2_17.8t17.1c2 $2$ $2^{2} \cdot 17$ x8 - 2x7 + 4x5 - 4x4 + 3x2 - 2x + 1 $C_4\wr C_2$ $0$ $0$
2.71.7t2.1c1 2.71.7t2.1c2 2.71.7t2.1c3 $2$ $71$ x7 - x6 - x5 + x4 - x3 - x2 + 2x + 1 $D_{7}$ $1$ $0$
2.2e3_3e2.6t5.1c1 2.2e3_3e2.6t5.1c2 $2$ $2^{3} \cdot 3^{2}$ x6 - 2x5 + 3x4 - 2x3 + 2x2 + 1 $S_3\times C_3$ $0$ $0$
2.2e2_19.3t2.1c1 $2$ $2^{2} \cdot 19$ x3 - 2x - 2 $S_3$ $1$ $0$
2.79.5t2.1c1 2.79.5t2.1c2 $2$ $79$ x5 - x4 + x3 - 2x2 + 3x - 1 $D_{5}$ $1$ $0$
2.2e4_5.4t3.2c1 $2$ $2^{4} \cdot 5$ x4 - 2x3 + 2 $D_{4}$ $1$ $0$
2.83.3t2.1c1 $2$ $83$ x3 - x2 + x - 2 $S_3$ $1$ $0$
2.2e2_3_7.6t5.1c1 2.2e2_3_7.6t5.1c2 $2$ $2^{2} \cdot 3 \cdot 7$ x6 - 3x5 + 4x4 - x3 - 2x2 + x + 1 $S_3\times C_3$ $0$ $0$
2.3_29.3t2.1c1 $2$ $3 \cdot 29$ x3 - x2 + 2x + 1 $S_3$ $1$ $0$
2.3_29.6t3.1c1 $2$ $3 \cdot 29$ x6 - x5 + 4x4 - 4x3 + 5x2 - 3x + 1 $D_{6}$ $1$ $0$
2.5_19.4t3.1c1 $2$ $5 \cdot 19$ x4 - 2x3 + 2x2 - x - 1 $D_{4}$ $1$ $0$
2.5_19.8t6.1c1 2.5_19.8t6.1c2 $2$ $5 \cdot 19$ x8 - x7 + x5 - 2x4 - x3 + 2x2 + 2x - 1 $D_{8}$ $1$ $0$
2.3e2_11.6t5.1c1 2.3e2_11.6t5.1c2 $2$ $3^{2} \cdot 11$ x6 - x4 - 2x3 + 3x2 + x + 1 $S_3\times C_3$ $0$ $0$
2.103.5t2.1c1 2.103.5t2.1c2 $2$ $103$ x5 - 2x4 + 3x3 - 3x2 + x + 1 $D_{5}$ $1$ $0$
2.2e3_13.3t2.1c1 $2$ $2^{3} \cdot 13$ x3 - x - 2 $S_3$ $1$ $0$
2.2e3_13.6t3.1c1 $2$ $2^{3} \cdot 13$ x6 + 2x4 - 2x3 + 2x2 + 1 $D_{6}$ $1$ $0$
2.107.3t2.1c1 $2$ $107$ x3 - x2 + 3x - 2 $S_3$ $1$ $0$
2.2e2_3e3.3t2.1c1 $2$ $2^{2} \cdot 3^{3}$ x3 - 2 $S_3$ $1$ $0$
2.3_37.4t3.2c1 $2$ $3 \cdot 37$ x4 - x3 - 2x2 + 3 $D_{4}$ $1$ $0$
2.3_37.8t6.1c1 2.3_37.8t6.1c2 $2$ $3 \cdot 37$ x8 - 3x7 + 3x6 - 3x5 + 5x4 - 6x3 + 6x2 - 3x + 1 $D_{8}$ $1$ $0$
2.3_37.6t5.1c1 2.3_37.6t5.1c2 $2$ $3 \cdot 37$ x6 - 3x5 + 4x4 - 2x3 - 2x2 + 2x + 1 $S_3\times C_3$ $0$ $0$
2.2e4_7.8t17.1c1 2.2e4_7.8t17.1c2 $2$ $2^{4} \cdot 7$ x8 - 3x7 + 6x6 - 8x5 + 10x4 - 9x3 + 6x2 - 2x + 1 $C_4\wr C_2$ $0$ $0$
2.2e2_29.3t2.1c1 $2$ $2^{2} \cdot 29$ x3 - x2 - 2 $S_3$ $1$ $0$
2.2e2_29.6t3.1c1 $2$ $2^{2} \cdot 29$ x6 - 2x3 + x2 + 2x + 2 $D_{6}$ $1$ $0$
2.3e2_13.8t17.1c1 2.3e2_13.8t17.1c2 $2$ $3^{2} \cdot 13$ x8 - 2x6 - 3x5 + 3x4 + 3x3 - 2x2 + 1 $C_4\wr C_2$ $0$ $0$
2.7_17.5t2.1c1 2.7_17.5t2.1c2 $2$ $7 \cdot 17$ x5 - x4 - x2 + 3x - 1 $D_{5}$ $1$ $0$
2.2e3_3_5.8t11.2c1 2.2e3_3_5.8t11.2c2 $2$ $2^{3} \cdot 3 \cdot 5$ x8 - 3x7 + 3x6 + x5 - 2x4 - 3x3 + 7x2 - 4x + 1 $Q_8:C_2$ $0$ $0$
2.2e2_31.16t60.1c1 2.2e2_31.16t60.1c2 2.2e2_31.16t60.1c3 2.2e2_31.16t60.1c4 $2$ $2^{2} \cdot 31$ x16 - 2x14 + x12 + 6x10 + 12x8 - 6x6 + x4 + 2x2 + 1 16T60 $0$ $0$
2.127.5t2.1c1 2.127.5t2.1c2 $2$ $127$ x5 - x4 - 2x3 + x2 + 3x - 1 $D_{5}$ $1$ $0$
2.2e7.4t3.2c1 $2$ $2^{7}$ x4 - 2x2 + 2 $D_{4}$ $1$ $0$
2.131.5t2.1c1 2.131.5t2.1c2 $2$ $131$ x5 - x4 + 2x3 - x2 + x + 2 $D_{5}$ $1$ $0$
2.7_19.6t5.1c1 2.7_19.6t5.1c2 $2$ $7 \cdot 19$ x6 - x5 + x4 + 5x2 + 4x + 1 $S_3\times C_3$ $0$ $0$
2.7_19.16t60.1c1 2.7_19.16t60.1c2 2.7_19.16t60.1c3 2.7_19.16t60.1c4 $2$ $7 \cdot 19$ x16 - 3x15 + 3x14 - 3x13 + 2x12 - x11 + 13x10 - 23x9 + 19x8 - 3x7 - 9x6 - 2x5 + 2x4 - x3 + 4x2 + x + 1 16T60 $0$ $0$
2.3e3_5.3t2.1c1 $2$ $3^{3} \cdot 5$ x3 + 3x - 1 $S_3$ $1$ $0$
2.3e3_5.6t3.2c1 $2$ $3^{3} \cdot 5$ x6 - 3x5 + 3x4 - 3x2 + 3 $D_{6}$ $1$ $0$
2.2e3_17.4t3.3c1 $2$ $2^{3} \cdot 17$ x4 - 2x3 + x2 - 2x + 3 $D_{4}$ $1$ $0$
2.2e3_17.4t3.2c1 $2$ $2^{3} \cdot 17$ x4 - 2x3 + 5x2 - 4x + 2 $D_{4}$ $1$ $-2$
2.2e3_17.8t17.1c1 2.2e3_17.8t17.1c2 $2$ $2^{3} \cdot 17$ x8 - 2x7 + 3x6 - 4x4 + 2x3 + 4x2 - 4x + 1 $C_4\wr C_2$ $0$ $0$
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