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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
9.11836763639.16t1294.a.a $9$ $ 43^{3} \cdot 53^{3}$ x8 - 3x7 + 5x5 - 4x3 + 4x2 - 5x + 1 $S_4\wr C_2$ $1$ $-1$
9.31674474944.16t1294.a.a $9$ $ 2^{6} \cdot 7^{3} \cdot 113^{3}$ x8 - 2x7 + 3x6 - 4x5 + 14x4 - 13x3 + 12x2 - 11x + 2 $S_4\wr C_2$ $1$ $-1$
9.100350148023.16t1294.a.a $9$ $ 3^{3} \cdot 1549^{3}$ x8 - 2x7 + 5x6 - 6x5 - 33x4 + 35x3 - 77x2 + 39x - 7 $S_4\wr C_2$ $1$ $-1$
9.111145882112.16t1294.a.a $9$ $ 2^{9} \cdot 601^{3}$ x8 - 2x7 - 9x6 + 32x5 + 18x4 - 125x3 + 46x2 + 165x - 94 $S_4\wr C_2$ $1$ $1$
9.117785509888.16t1294.a.a $9$ $ 2^{14} \cdot 193^{3}$ x8 - 4x6 - 8x5 + 13x4 + 16x3 - 2x2 - 36x - 28 $S_4\wr C_2$ $1$ $-1$
9.120846864384.16t1294.a.a $9$ $ 2^{12} \cdot 3^{3} \cdot 103^{3}$ x8 - 4x7 + 10x6 + 6x5 - 47x4 + 94x3 - 82x2 + 26x - 3 $S_4\wr C_2$ $1$ $-1$
9.132027738688.12t165.a.a $9$ $ 2^{6} \cdot 19^{3} \cdot 67^{3}$ x8 - 4x7 - 4x6 + 20x5 - 29x4 + 58x3 + 152x2 - 74x + 24 $(A_4\wr C_2):C_2$ $1$ $1$
9.152701438625.16t1294.a.a $9$ $ 5^{3} \cdot 1069^{3}$ x8 - 2x7 + 11x6 - 39x5 + 87x4 - 178x3 + 108x2 + 56x + 5 $S_4\wr C_2$ $1$ $1$
9.180170657792.16t1294.a.a $9$ $ 2^{12} \cdot 353^{3}$ x8 - 4x7 + 10x6 + 3x5 - 19x4 + 41x3 - 26x2 + 15x + 1 $S_4\wr C_2$ $1$ $-1$
9.209161465856.16t1294.a.a $9$ $ 2^{12} \cdot 7^{3} \cdot 53^{3}$ x8 - 4x7 + 8x5 + 13x4 - 18x3 - 18x2 + 7 $S_4\wr C_2$ $1$ $-1$
9.318916345856.16t1294.a.a $9$ $ 2^{14} \cdot 269^{3}$ x8 - 2x7 - 10x6 + 7x5 + 5x4 - 16x3 + 64x2 - 76x + 92 $S_4\wr C_2$ $1$ $-1$
9.319873167719.16t1294.a.a $9$ $ 7^{3} \cdot 977^{3}$ x8 - 2x7 - x6 + 2x5 + 34x4 - 33x3 - 33x2 + 28 $S_4\wr C_2$ $1$ $-1$
9.322264470016.16t1294.a.a $9$ $ 2^{9} \cdot 857^{3}$ x8 - 2x7 + x6 - 29x5 + 31x4 - 2x3 - 4x2 - 29x + 1 $S_4\wr C_2$ $1$ $-1$
9.337032380416.16t1294.a.a $9$ $ 2^{17} \cdot 137^{3}$ x8 - 8x6 - 8x5 + 27x4 + 32x3 - 28x2 - 44x - 4 $S_4\wr C_2$ $1$ $-1$
9.363994344000.12t165.a.a $9$ $ 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 17^{3}$ x8 - 2x7 - 11x6 + 36x5 - x4 - 131x3 + 222x2 - 156x - 404 $(A_4\wr C_2):C_2$ $1$ $1$
9.390297362112.16t1294.a.a $9$ $ 2^{6} \cdot 3^{6} \cdot 7^{3} \cdot 29^{3}$ x8 - x7 + 5x6 - 4x5 + 10x4 + 10x3 - 4x2 + 4x + 4 $S_4\wr C_2$ $1$ $-1$
9.409675763483.16t1294.a.a $9$ $ 7^{3} \cdot 1061^{3}$ x8 - 10x6 - 14x5 + 30x4 + 70x3 + 24x2 - 35x - 259 $S_4\wr C_2$ $1$ $-1$
9.410011373853.16t1294.a.a $9$ $ 3^{4} \cdot 17^{3} \cdot 101^{3}$ x8 - 3x7 + 3x6 - 4x5 + 4x4 + x2 + x - 2 $S_4\wr C_2$ $1$ $1$
9.423417472000.16t1294.a.a $9$ $ 2^{10} \cdot 5^{3} \cdot 149^{3}$ x8 - 2x7 + 3x6 + 9x5 - 34x4 + 35x3 - 31x2 + 17x - 5 $S_4\wr C_2$ $1$ $-1$
9.426107828125.12t165.a.a $9$ $ 5^{6} \cdot 7^{3} \cdot 43^{3}$ x8 + 2x6 - 2x5 - 16x4 - 2x3 - 16x2 + 17x - 3 $(A_4\wr C_2):C_2$ $1$ $1$
9.452454197733.18t272.a.a $9$ $ 3^{6} \cdot 853^{3}$ x8 - 2x7 - 11x6 + 5x5 + 33x4 + 52x3 - 141x2 + 35x + 25 $S_4\wr C_2$ $1$ $-3$
9.462786790375.16t1294.a.a $9$ $ 5^{3} \cdot 7^{3} \cdot 13^{3} \cdot 17^{3}$ x8 - 2x7 - 3x6 + 6x5 + 13x4 - 15x3 - 21x2 + 11x - 25 $S_4\wr C_2$ $1$ $-1$
9.515078148096.16t1294.a.a $9$ $ 2^{12} \cdot 3^{3} \cdot 167^{3}$ x8 - 2x7 + 2x6 + 2x5 - 4x4 + 2x3 + 2x2 - 6x + 1 $S_4\wr C_2$ $1$ $-1$
9.518705353233.18t272.a.a $9$ $ 3^{7} \cdot 619^{3}$ x8 - 4x7 - 14x6 + 17x5 + 43x4 + 323x3 + 310x2 - 1135x - 413 $S_4\wr C_2$ $1$ $-3$
9.519718464000.16t1294.a.a $9$ $ 2^{9} \cdot 3^{3} \cdot 5^{3} \cdot 67^{3}$ x8 - 2x7 - 3x6 + 11x5 - 5x4 - 12x3 - 34x2 - 7x + 1 $S_4\wr C_2$ $1$ $1$
9.522324376576.16t1294.a.a $9$ $ 2^{10} \cdot 17^{3} \cdot 47^{3}$ x8 - 4x6 - 4x5 + 7x4 + 8x3 - 2x2 - 6x - 2 $S_4\wr C_2$ $1$ $-1$
9.526731062976.16t1294.a.a $9$ $ 2^{6} \cdot 3^{3} \cdot 673^{3}$ x8 - 4x7 - 4x6 + 16x5 + 65x4 - 98x3 - 196x2 + 432 $S_4\wr C_2$ $1$ $-1$
9.543338496000.16t1294.a.a $9$ $ 2^{15} \cdot 3^{3} \cdot 5^{3} \cdot 17^{3}$ x8 + 4x6 - 4x5 - 18x4 - 8x3 - 40x2 + 44x - 15 $S_4\wr C_2$ $1$ $-1$
9.564379103744.16t1294.a.a $9$ $ 2^{9} \cdot 1033^{3}$ x8 - 12x6 - 16x5 + 33x4 + 96x3 + 82x2 + 24x - 256 $S_4\wr C_2$ $1$ $1$
9.592704000000.12t165.a.a $9$ $ 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 7^{3}$ x8 - 4x7 + 8x5 + 9x4 - 10x3 - 10x2 + 1 $(A_4\wr C_2):C_2$ $1$ $1$
9.630745726976.16t1294.a.a $9$ $ 2^{21} \cdot 67^{3}$ x8 + 12x6 - 4x5 - 27x4 - 24x3 + 28x2 - 8x + 4 $S_4\wr C_2$ $1$ $-1$
9.640726867061.16t1294.a.a $9$ $ 37^{3} \cdot 233^{3}$ x8 - 2x7 + x6 - 7x5 + 20x4 - 13x3 - 46x2 + 71x - 16 $S_4\wr C_2$ $1$ $1$
9.681472000000.12t165.a.a $9$ $ 2^{15} \cdot 5^{6} \cdot 11^{3}$ x8 - 6x6 - 12x5 + 30x4 + 80x3 - 236x2 + 204x - 63 $(A_4\wr C_2):C_2$ $1$ $1$
9.723183538176.12t165.a.a $9$ $ 2^{12} \cdot 3^{3} \cdot 11^{3} \cdot 17^{3}$ x8 - 4x7 + 4x6 - 25x4 + 50x3 + 16 $(A_4\wr C_2):C_2$ $1$ $1$
9.729212883968.16t1294.a.a $9$ $ 2^{10} \cdot 19^{3} \cdot 47^{3}$ x8 - 4x7 + 2x6 - 2x5 + 37x4 - 42x3 - 62x2 + 116x - 44 $S_4\wr C_2$ $1$ $-1$
9.746636341248.12t165.a.a $9$ $ 2^{12} \cdot 3^{12} \cdot 7^{3}$ x8 - 2x7 - 4x6 + 4x5 + 4x4 + 4x3 + 4x2 - 8x - 6 $(A_4\wr C_2):C_2$ $1$ $1$
9.755560187712.12t165.a.a $9$ $ 2^{6} \cdot 3^{6} \cdot 11^{3} \cdot 23^{3}$ x8 - 4x7 + 8x6 + 10x5 - 5x4 - 18x3 - 118x2 - 10x + 119 $(A_4\wr C_2):C_2$ $1$ $1$
9.801628120832.16t1294.a.a $9$ $ 2^{8} \cdot 7^{3} \cdot 11^{3} \cdot 19^{3}$ x8 - 4x7 + 12x6 - 2x5 - 3x4 + 38x3 + 8x2 - 14x + 1 $S_4\wr C_2$ $1$ $-1$
9.821007451136.16t1294.a.a $9$ $ 2^{10} \cdot 929^{3}$ x8 - 12x6 - 8x5 + 5x4 + 48x3 + 202x2 + 124x + 8 $S_4\wr C_2$ $1$ $3$
9.828465164288.10t32.a.a $9$ $ 2^{12} \cdot 587^{3}$ x6 - 2x5 + 2x4 - x2 + 2x - 1 $S_6$ $1$ $1$
9.828986949632.16t1294.a.a $9$ $ 2^{16} \cdot 233^{3}$ x8 - 4x6 - 8x5 + 9x4 + 16x3 + 6x2 - 20x - 52 $S_4\wr C_2$ $1$ $-1$
9.830584000000.12t165.a.a $9$ $ 2^{9} \cdot 5^{6} \cdot 47^{3}$ x8 - 18x6 - 14x5 + 65x4 + 126x3 + 99x2 + 112x + 64 $(A_4\wr C_2):C_2$ $1$ $1$
9.836962177024.12t165.a.a $9$ $ 2^{12} \cdot 19^{3} \cdot 31^{3}$ x8 - 4x7 - 4x6 + 8x5 + 51x4 - 6x3 - 60x2 - 76x - 57 $(A_4\wr C_2):C_2$ $1$ $1$
9.875918098432.12t165.a.a $9$ $ 2^{15} \cdot 13^{3} \cdot 23^{3}$ x8 - 4x7 - 40x6 + 16x5 + 656x4 + 1528x3 + 680x2 - 1008x - 2196 $(A_4\wr C_2):C_2$ $1$ $1$
9.877897859072.16t1294.a.a $9$ $ 2^{14} \cdot 13^{3} \cdot 29^{3}$ x8 + 4x6 - 38x5 + 25x4 - 76x3 + 26x2 - 22x + 16 $S_4\wr C_2$ $1$ $-1$
9.883354319875.16t1294.a.a $9$ $ 5^{3} \cdot 19^{3} \cdot 101^{3}$ x8 - 2x7 + 5x6 - 4x5 - x4 + 5x3 - 10x2 - 19 $S_4\wr C_2$ $1$ $-1$
9.885027826179.16t1294.a.a $9$ $ 3^{4} \cdot 7^{3} \cdot 317^{3}$ x8 - 2x7 + 24x6 - 14x5 + 48x4 - 59x3 - 13x2 + 18x + 4 $S_4\wr C_2$ $1$ $-1$
9.887423028741.18t272.a.a $9$ $ 3^{4} \cdot 2221^{3}$ x8 - 2x7 - 25x6 + 87x5 + 241x4 - 926x3 - 1354x2 + 2946x + 3867 $S_4\wr C_2$ $1$ $-3$
9.893612883968.16t1294.a.a $9$ $ 2^{15} \cdot 7^{3} \cdot 43^{3}$ x8 - 8x6 - 20x5 - 72x4 - 92x3 - 150x2 - 152x - 85 $S_4\wr C_2$ $1$ $-1$
9.910134926371.16t1294.a.a $9$ $ 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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