## 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 $\chi(c)$
9.43e3_53e3.16t1294.1c1 $9$ $43^{3} \cdot 53^{3}$ x8 - 3x7 + 5x5 - 4x3 + 4x2 - 5x + 1 $S_4\wr C_2$ $1$ $-1$
9.2e6_7e3_113e3.16t1294.1c1 $9$ $2^{6} \cdot 7^{3} \cdot 113^{3}$ x8 - 2x7 + 3x6 - 4x5 + 14x4 - 13x3 + 12x2 - 11x + 2 $S_4\wr C_2$ $1$ $-1$
9.3e3_1549e3.16t1294.1c1 $9$ $3^{3} \cdot 1549^{3}$ x8 - 2x7 + 5x6 - 6x5 - 33x4 + 35x3 - 77x2 + 39x - 7 $S_4\wr C_2$ $1$ $-1$
9.2e9_601e3.16t1294.1c1 $9$ $2^{9} \cdot 601^{3}$ x8 - 2x7 - 9x6 + 32x5 + 18x4 - 125x3 + 46x2 + 165x - 94 $S_4\wr C_2$ $1$ $1$
9.2e14_193e3.16t1294.1c1 $9$ $2^{14} \cdot 193^{3}$ x8 - 4x6 - 8x5 + 13x4 + 16x3 - 2x2 - 36x - 28 $S_4\wr C_2$ $1$ $-1$
9.2e12_3e3_103e3.16t1294.1c1 $9$ $2^{12} \cdot 3^{3} \cdot 103^{3}$ x8 - 4x7 + 10x6 + 6x5 - 47x4 + 94x3 - 82x2 + 26x - 3 $S_4\wr C_2$ $1$ $-1$
9.2e6_19e3_67e3.12t165.1c1 $9$ $2^{6} \cdot 19^{3} \cdot 67^{3}$ x8 - 4x7 - 4x6 + 20x5 - 29x4 + 58x3 + 152x2 - 74x + 24 $(A_4\wr C_2):C_2$ $1$ $1$
9.5e3_1069e3.16t1294.1c1 $9$ $5^{3} \cdot 1069^{3}$ x8 - 2x7 + 11x6 - 39x5 + 87x4 - 178x3 + 108x2 + 56x + 5 $S_4\wr C_2$ $1$ $1$
9.2e12_353e3.16t1294.1c1 $9$ $2^{12} \cdot 353^{3}$ x8 - 4x7 + 10x6 + 3x5 - 19x4 + 41x3 - 26x2 + 15x + 1 $S_4\wr C_2$ $1$ $-1$
9.2e12_7e3_53e3.16t1294.1c1 $9$ $2^{12} \cdot 7^{3} \cdot 53^{3}$ x8 - 4x7 + 8x5 + 13x4 - 18x3 - 18x2 + 7 $S_4\wr C_2$ $1$ $-1$
9.2e14_269e3.16t1294.1c1 $9$ $2^{14} \cdot 269^{3}$ x8 - 2x7 - 10x6 + 7x5 + 5x4 - 16x3 + 64x2 - 76x + 92 $S_4\wr C_2$ $1$ $-1$
9.7e3_977e3.16t1294.1c1 $9$ $7^{3} \cdot 977^{3}$ x8 - 2x7 - x6 + 2x5 + 34x4 - 33x3 - 33x2 + 28 $S_4\wr C_2$ $1$ $-1$
9.2e9_857e3.16t1294.1c1 $9$ $2^{9} \cdot 857^{3}$ x8 - 2x7 + x6 - 29x5 + 31x4 - 2x3 - 4x2 - 29x + 1 $S_4\wr C_2$ $1$ $-1$
9.2e17_137e3.16t1294.1c1 $9$ $2^{17} \cdot 137^{3}$ x8 - 8x6 - 8x5 + 27x4 + 32x3 - 28x2 - 44x - 4 $S_4\wr C_2$ $1$ $-1$
9.2e6_3e3_5e3_7e3_17e3.12t165.1c1 $9$ $2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 17^{3}$ x8 - 2x7 - 11x6 + 36x5 - x4 - 131x3 + 222x2 - 156x - 404 $(A_4\wr C_2):C_2$ $1$ $1$
9.2e6_3e6_7e3_29e3.16t1294.1c1 $9$ $2^{6} \cdot 3^{6} \cdot 7^{3} \cdot 29^{3}$ x8 - x7 + 5x6 - 4x5 + 10x4 + 10x3 - 4x2 + 4x + 4 $S_4\wr C_2$ $1$ $-1$
9.7e3_1061e3.16t1294.1c1 $9$ $7^{3} \cdot 1061^{3}$ x8 - 10x6 - 14x5 + 30x4 + 70x3 + 24x2 - 35x - 259 $S_4\wr C_2$ $1$ $-1$
9.3e4_17e3_101e3.16t1294.1c1 $9$ $3^{4} \cdot 17^{3} \cdot 101^{3}$ x8 - 3x7 + 3x6 - 4x5 + 4x4 + x2 + x - 2 $S_4\wr C_2$ $1$ $1$
9.2e10_5e3_149e3.16t1294.1c1 $9$ $2^{10} \cdot 5^{3} \cdot 149^{3}$ x8 - 2x7 + 3x6 + 9x5 - 34x4 + 35x3 - 31x2 + 17x - 5 $S_4\wr C_2$ $1$ $-1$
9.5e6_7e3_43e3.12t165.1c1 $9$ $5^{6} \cdot 7^{3} \cdot 43^{3}$ x8 + 2x6 - 2x5 - 16x4 - 2x3 - 16x2 + 17x - 3 $(A_4\wr C_2):C_2$ $1$ $1$
9.3e6_853e3.18t272.1c1 $9$ $3^{6} \cdot 853^{3}$ x8 - 2x7 - 11x6 + 5x5 + 33x4 + 52x3 - 141x2 + 35x + 25 $S_4\wr C_2$ $1$ $-3$
9.5e3_7e3_13e3_17e3.16t1294.1c1 $9$ $5^{3} \cdot 7^{3} \cdot 13^{3} \cdot 17^{3}$ x8 - 2x7 - 3x6 + 6x5 + 13x4 - 15x3 - 21x2 + 11x - 25 $S_4\wr C_2$ $1$ $-1$
9.2e12_3e3_167e3.16t1294.1c1 $9$ $2^{12} \cdot 3^{3} \cdot 167^{3}$ x8 - 2x7 + 2x6 + 2x5 - 4x4 + 2x3 + 2x2 - 6x + 1 $S_4\wr C_2$ $1$ $-1$
9.3e7_619e3.18t272.1c1 $9$ $3^{7} \cdot 619^{3}$ x8 - 4x7 - 14x6 + 17x5 + 43x4 + 323x3 + 310x2 - 1135x - 413 $S_4\wr C_2$ $1$ $-3$
9.2e9_3e3_5e3_67e3.16t1294.1c1 $9$ $2^{9} \cdot 3^{3} \cdot 5^{3} \cdot 67^{3}$ x8 - 2x7 - 3x6 + 11x5 - 5x4 - 12x3 - 34x2 - 7x + 1 $S_4\wr C_2$ $1$ $1$
9.2e10_17e3_47e3.16t1294.1c1 $9$ $2^{10} \cdot 17^{3} \cdot 47^{3}$ x8 - 4x6 - 4x5 + 7x4 + 8x3 - 2x2 - 6x - 2 $S_4\wr C_2$ $1$ $-1$
9.2e6_3e3_673e3.16t1294.1c1 $9$ $2^{6} \cdot 3^{3} \cdot 673^{3}$ x8 - 4x7 - 4x6 + 16x5 + 65x4 - 98x3 - 196x2 + 432 $S_4\wr C_2$ $1$ $-1$
9.2e15_3e3_5e3_17e3.16t1294.1c1 $9$ $2^{15} \cdot 3^{3} \cdot 5^{3} \cdot 17^{3}$ x8 + 4x6 - 4x5 - 18x4 - 8x3 - 40x2 + 44x - 15 $S_4\wr C_2$ $1$ $-1$
9.2e9_1033e3.16t1294.1c1 $9$ $2^{9} \cdot 1033^{3}$ x8 - 12x6 - 16x5 + 33x4 + 96x3 + 82x2 + 24x - 256 $S_4\wr C_2$ $1$ $1$
9.2e12_3e3_5e6_7e3.12t165.1c1 $9$ $2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3}$ x8 - 4x7 + 8x5 + 9x4 - 10x3 - 10x2 + 1 $(A_4\wr C_2):C_2$ $1$ $1$
9.2e21_67e3.16t1294.1c1 $9$ $2^{21} \cdot 67^{3}$ x8 + 12x6 - 4x5 - 27x4 - 24x3 + 28x2 - 8x + 4 $S_4\wr C_2$ $1$ $-1$
9.37e3_233e3.16t1294.1c1 $9$ $37^{3} \cdot 233^{3}$ x8 - 2x7 + x6 - 7x5 + 20x4 - 13x3 - 46x2 + 71x - 16 $S_4\wr C_2$ $1$ $1$
9.2e15_5e6_11e3.12t165.1c1 $9$ $2^{15} \cdot 5^{6} \cdot 11^{3}$ x8 - 6x6 - 12x5 + 30x4 + 80x3 - 236x2 + 204x - 63 $(A_4\wr C_2):C_2$ $1$ $1$
9.2e12_3e3_11e3_17e3.12t165.1c1 $9$ $2^{12} \cdot 3^{3} \cdot 11^{3} \cdot 17^{3}$ x8 - 4x7 + 4x6 - 25x4 + 50x3 + 16 $(A_4\wr C_2):C_2$ $1$ $1$
9.2e10_19e3_47e3.16t1294.1c1 $9$ $2^{10} \cdot 19^{3} \cdot 47^{3}$ x8 - 4x7 + 2x6 - 2x5 + 37x4 - 42x3 - 62x2 + 116x - 44 $S_4\wr C_2$ $1$ $-1$
9.2e12_3e12_7e3.12t165.1c1 $9$ $2^{12} \cdot 3^{12} \cdot 7^{3}$ x8 - 2x7 - 4x6 + 4x5 + 4x4 + 4x3 + 4x2 - 8x - 6 $(A_4\wr C_2):C_2$ $1$ $1$
9.2e6_3e6_11e3_23e3.12t165.1c1 $9$ $2^{6} \cdot 3^{6} \cdot 11^{3} \cdot 23^{3}$ x8 - 4x7 + 8x6 + 10x5 - 5x4 - 18x3 - 118x2 - 10x + 119 $(A_4\wr C_2):C_2$ $1$ $1$
9.2e8_7e3_11e3_19e3.16t1294.1c1 $9$ $2^{8} \cdot 7^{3} \cdot 11^{3} \cdot 19^{3}$ x8 - 4x7 + 12x6 - 2x5 - 3x4 + 38x3 + 8x2 - 14x + 1 $S_4\wr C_2$ $1$ $-1$
9.2e10_929e3.16t1294.1c1 $9$ $2^{10} \cdot 929^{3}$ x8 - 12x6 - 8x5 + 5x4 + 48x3 + 202x2 + 124x + 8 $S_4\wr C_2$ $1$ $3$
9.2e12_587e3.10t32.1c1 $9$ $2^{12} \cdot 587^{3}$ x6 - 2x5 + 2x4 - x2 + 2x - 1 $S_6$ $1$ $1$
9.2e16_233e3.16t1294.1c1 $9$ $2^{16} \cdot 233^{3}$ x8 - 4x6 - 8x5 + 9x4 + 16x3 + 6x2 - 20x - 52 $S_4\wr C_2$ $1$ $-1$
9.2e9_5e6_47e3.12t165.1c1 $9$ $2^{9} \cdot 5^{6} \cdot 47^{3}$ x8 - 18x6 - 14x5 + 65x4 + 126x3 + 99x2 + 112x + 64 $(A_4\wr C_2):C_2$ $1$ $1$
9.2e12_19e3_31e3.12t165.1c1 $9$ $2^{12} \cdot 19^{3} \cdot 31^{3}$ x8 - 4x7 - 4x6 + 8x5 + 51x4 - 6x3 - 60x2 - 76x - 57 $(A_4\wr C_2):C_2$ $1$ $1$
9.2e15_13e3_23e3.12t165.1c1 $9$ $2^{15} \cdot 13^{3} \cdot 23^{3}$ x8 - 4x7 - 40x6 + 16x5 + 656x4 + 1528x3 + 680x2 - 1008x - 2196 $(A_4\wr C_2):C_2$ $1$ $1$
9.2e14_13e3_29e3.16t1294.1c1 $9$ $2^{14} \cdot 13^{3} \cdot 29^{3}$ x8 + 4x6 - 38x5 + 25x4 - 76x3 + 26x2 - 22x + 16 $S_4\wr C_2$ $1$ $-1$
9.5e3_19e3_101e3.16t1294.1c1 $9$ $5^{3} \cdot 19^{3} \cdot 101^{3}$ x8 - 2x7 + 5x6 - 4x5 - x4 + 5x3 - 10x2 - 19 $S_4\wr C_2$ $1$ $-1$
9.3e4_7e3_317e3.16t1294.1c1 $9$ $3^{4} \cdot 7^{3} \cdot 317^{3}$ x8 - 2x7 + 24x6 - 14x5 + 48x4 - 59x3 - 13x2 + 18x + 4 $S_4\wr C_2$ $1$ $-1$
9.3e4_2221e3.18t272.1c1 $9$ $3^{4} \cdot 2221^{3}$ x8 - 2x7 - 25x6 + 87x5 + 241x4 - 926x3 - 1354x2 + 2946x + 3867 $S_4\wr C_2$ $1$ $-3$
9.2e15_7e3_43e3.16t1294.1c1 $9$ $2^{15} \cdot 7^{3} \cdot 43^{3}$ x8 - 8x6 - 20x5 - 72x4 - 92x3 - 150x2 - 152x - 85 $S_4\wr C_2$ $1$ $-1$
9.11e3_881e3.16t1294.1c1 $9$ $11^{3} \cdot 881^{3}$ x8 - 2x7 + 9x6 - 43x5 + 84x4 - 173x3 + 218x2 - 137x + 52 $S_4\wr C_2$ $1$ $-1$
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