## Results: displaying matches 1-10 of 5990

Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
8.5e2_7e4_131e2.12t213.1c1 $8$ $5^{2} \cdot 7^{4} \cdot 131^{2}$ x9 - 4x8 + 6x7 - 2x6 - 6x5 + 8x4 - 4x2 + x - 1 $S_3\wr S_3$ $1$ $0$
8.3e4_7e2_11e2_47e2.12t213.1c1 $8$ $3^{4} \cdot 7^{2} \cdot 11^{2} \cdot 47^{2}$ x9 + 9x7 - 4x6 + 27x5 - 24x4 + 31x3 - 36x2 + 12x + 11 $S_3\wr S_3$ $1$ $0$
8.2e10_1229e2.12t213.1c1 $8$ $2^{10} \cdot 1229^{2}$ x9 - 2x8 - x7 - x6 + 19x5 - 41x4 + 50x3 - 35x2 + 4x + 8 $S_3\wr S_3$ $1$ $0$
8.2e8_3e4_7e2_41e2.12t213.1c1 $8$ $2^{8} \cdot 3^{4} \cdot 7^{2} \cdot 41^{2}$ x9 - x8 + 6x7 - 5x6 + 7x5 + 7x4 + 16x3 - 3x2 - 6x + 2 $S_3\wr S_3$ $1$ $0$
8.7e4_19e2_53e2.12t213.1c1 $8$ $7^{4} \cdot 19^{2} \cdot 53^{2}$ x9 - 3x8 + 5x7 - 2x6 - 5x5 + 8x4 + 4x3 - 4x2 + 2x + 1 $S_3\wr S_3$ $1$ $0$
8.2e8_3e4_5e2_71e2.12t213.1c1 $8$ $2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 71^{2}$ x9 - x8 + 4x7 - 6x6 + 8x5 - 2x4 + 4x2 - x - 1 $S_3\wr S_3$ $1$ $0$
8.2e8_3e4_7e2_53e2.12t213.1c1 $8$ $2^{8} \cdot 3^{4} \cdot 7^{2} \cdot 53^{2}$ x9 - 6x7 + 20x5 - 16x4 - 4x3 - 4x2 + 20x - 12 $S_3\wr S_3$ $1$ $0$
8.2e14_499e2.12t213.1c1 $8$ $2^{14} \cdot 499^{2}$ x9 - 2x8 + 2x7 + 3x6 - 2x5 - 10x4 + 5x3 + 14x2 + 6x + 1 $S_3\wr S_3$ $1$ $0$
8.2e8_3e6_7e2_23e2.12t213.1c1 $8$ $2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 23^{2}$ x9 - 3x8 + 4x7 + 2x5 - 2x4 - 2x3 + 4x2 + x + 1 $S_3\wr S_3$ $1$ $0$
8.2e8_3e4_523e2.12t213.1c1 $8$ $2^{8} \cdot 3^{4} \cdot 523^{2}$ x9 - 2x8 + 6x7 + 6x6 - 14x5 + 48x4 - 6x3 - 4x2 + 4x + 42 $S_3\wr S_3$ $1$ $0$
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