## 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 $\chi(c)$
2.3_13.4t3.2c1 $2$ $3 \cdot 13$ x4 - x3 - x2 + x + 1 $D_{4}$ $1$ $0$
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 $D_{4}$ $1$ $0$
2.3e2_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 $D_{4}$ $1$ $0$
2.2e4_5.4t3.2c1 $2$ $2^{4} \cdot 5$ x4 - 2x3 + 2 $D_{4}$ $1$ $0$
2.5_19.4t3.1c1 $2$ $5 \cdot 19$ x4 - 2x3 + 2x2 - x - 1 $D_{4}$ $1$ $0$
2.3_37.4t3.2c1 $2$ $3 \cdot 37$ x4 - x3 - 2x2 + 3 $D_{4}$ $1$ $0$
2.2e7.4t3.2c1 $2$ $2^{7}$ x4 - 2x2 + 2 $D_{4}$ $1$ $0$
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 $D_{4}$ $1$ $-2$
2.2e4_3e2.4t3.2c1 $2$ $2^{4} \cdot 3^{2}$ x4 - 3x2 + 3 $D_{4}$ $1$ $0$
2.5_29.4t3.2c1 $2$ $5 \cdot 29$ x4 - x3 - 3x2 + x + 1 $D_{4}$ $1$ $2$
2.5_31.4t3.1c1 $2$ $5 \cdot 31$ x4 - x3 - 3x - 1 $D_{4}$ $1$ $0$
2.2e2_41.4t3.2c1 $2$ $2^{2} \cdot 41$ x4 - 2x3 - x2 + 2x + 2 $D_{4}$ $1$ $0$
2.3e2_19.4t3.2c1 $2$ $3^{2} \cdot 19$ x4 - x3 - 3x2 + 2x + 4 $D_{4}$ $1$ $0$
2.3_61.4t3.2c1 $2$ $3 \cdot 61$ x4 - 2x3 - 2x2 + 3x + 3 $D_{4}$ $1$ $0$
2.2e3_23.4t3.1c1 $2$ $2^{3} \cdot 23$ x4 - 2x3 + 3x2 - 2x - 1 $D_{4}$ $1$ $0$
2.2e2_7e2.4t3.2c1 $2$ $2^{2} \cdot 7^{2}$ x4 - x3 + 3x2 - 4x + 2 $D_{4}$ $1$ $0$
2.7_29.4t3.1c1 $2$ $7 \cdot 29$ x4 - 2x3 + 2x2 - x + 2 $D_{4}$ $1$ $0$
2.5_41.4t3.2c1 $2$ $5 \cdot 41$ x4 - x3 + 3x2 - 2x + 4 $D_{4}$ $1$ $-2$
2.2e4_13.4t3.2c1 $2$ $2^{4} \cdot 13$ x4 - 2x3 - 2x + 5 $D_{4}$ $1$ $0$
2.3_73.4t3.2c1 $2$ $3 \cdot 73$ x4 - x3 + 5x2 - 2x + 4 $D_{4}$ $1$ $0$
2.13_17.4t3.2c1 $2$ $13 \cdot 17$ x4 - x3 + x2 - 2x + 4 $D_{4}$ $1$ $-2$
2.2e5_7.4t3.2c1 $2$ $2^{5} \cdot 7$ x4 - x2 + 2 $D_{4}$ $1$ $0$
2.2e3_31.4t3.1c1 $2$ $2^{3} \cdot 31$ x4 - 2x3 + x2 - 2 $D_{4}$ $1$ $0$
2.2e8.4t3.1c1 $2$ $2^{8}$ x4 - 2 $D_{4}$ $1$ $0$
2.7_37.4t3.2c1 $2$ $7 \cdot 37$ x4 - 2x3 + x + 2 $D_{4}$ $1$ $0$
2.2e2_5_13.4t3.4c1 $2$ $2^{2} \cdot 5 \cdot 13$ x4 - 3x2 - 2x + 5 $D_{4}$ $1$ $0$
2.2e2_5_13.4t3.3c1 $2$ $2^{2} \cdot 5 \cdot 13$ x4 + x2 - 4x + 4 $D_{4}$ $1$ $0$
2.2e3_3_11.4t3.3c1 $2$ $2^{3} \cdot 3 \cdot 11$ x4 - 2x3 + x2 + 2 $D_{4}$ $1$ $0$
2.2e3_3_11.4t3.2c1 $2$ $2^{3} \cdot 3 \cdot 11$ x4 - 2x3 + 5x2 - 2x + 1 $D_{4}$ $1$ $0$
2.5e2_11.4t3.1c1 $2$ $5^{2} \cdot 11$ x4 - x3 + x2 + 4x - 4 $D_{4}$ $1$ $0$
2.2e2_3_23.4t3.1c1 $2$ $2^{2} \cdot 3 \cdot 23$ x4 - 2x3 - x2 + 2x - 2 $D_{4}$ $1$ $0$
2.2e2_3_23.4t3.2c1 $2$ $2^{2} \cdot 3 \cdot 23$ x4 + x2 - 6x + 1 $D_{4}$ $1$ $0$
2.3e2_31.4t3.2c1 $2$ $3^{2} \cdot 31$ x4 - x3 - 3x2 - x + 7 $D_{4}$ $1$ $0$
2.3_97.4t3.2c1 $2$ $3 \cdot 97$ x4 - x3 - 4x2 + x + 7 $D_{4}$ $1$ $0$
2.2e2_73.4t3.2c1 $2$ $2^{2} \cdot 73$ x4 - x2 - 4x + 5 $D_{4}$ $1$ $0$
2.5_59.4t3.1c1 $2$ $5 \cdot 59$ x4 - x3 - x2 + 5x - 5 $D_{4}$ $1$ $0$
2.13_23.4t3.1c1 $2$ $13 \cdot 23$ x4 - x3 + 5x - 1 $D_{4}$ $1$ $0$
2.5_61.4t3.2c1 $2$ $5 \cdot 61$ x4 - 2x3 + 6x2 - 5x + 5 $D_{4}$ $1$ $-2$
2.2e2_7_11.4t3.4c1 $2$ $2^{2} \cdot 7 \cdot 11$ x4 - x3 - 2x2 + 2x + 4 $D_{4}$ $1$ $0$
2.2e2_7_11.4t3.3c1 $2$ $2^{2} \cdot 7 \cdot 11$ x4 - x3 + x2 + 4x + 2 $D_{4}$ $1$ $0$
2.2e6_5.4t3.2c1 $2$ $2^{6} \cdot 5$ x4 - 4x2 + 5 $D_{4}$ $1$ $0$
2.17_19.4t3.1c1 $2$ $17 \cdot 19$ x4 - 2x3 - 2x2 + 3x - 2 $D_{4}$ $1$ $0$
2.3_109.4t3.2c1 $2$ $3 \cdot 109$ x4 - x3 - 4x2 + 4x + 7 $D_{4}$ $1$ $0$
2.2e3_41.4t3.4c1 $2$ $2^{3} \cdot 41$ x4 - 2x3 + 3x2 - 2x + 3 $D_{4}$ $1$ $0$
2.2e3_41.4t3.2c1 $2$ $2^{3} \cdot 41$ x4 - 2x3 - 3x2 + 2x + 1 $D_{4}$ $1$ $2$
2.2e4_3_7.4t3.3c1 $2$ $2^{4} \cdot 3 \cdot 7$ x4 + 5x2 + 7 $D_{4}$ $1$ $0$
2.2e4_3_7.4t3.2c1 $2$ $2^{4} \cdot 3 \cdot 7$ x4 - 5x2 + 7 $D_{4}$ $1$ $0$
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