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## 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 $\chi(c)$
2.283.24t22.1c1 2.283.24t22.1c2 $2$ $283$ x8 - 3x7 + 4x6 - 8x5 + 8x4 - x3 + 2x2 - 3x - 1 $\textrm{GL(2,3)}$ $0$ $0$
2.331.24t22.1c1 2.331.24t22.1c2 $2$ $331$ x8 - 4x7 + 5x6 - x5 - 3x4 + 3x3 - x - 1 $\textrm{GL(2,3)}$ $0$ $0$
2.2e3_43.24t22.1c1 2.2e3_43.24t22.1c2 $2$ $2^{3} \cdot 43$ x8 - 4x7 + 8x6 - 8x5 + 6x3 - 2x2 - 2 $\textrm{GL(2,3)}$ $0$ $0$
2.491.24t22.1c1 2.491.24t22.1c2 $2$ $491$ x8 - 2x7 - x5 + 7x3 + x - 9 $\textrm{GL(2,3)}$ $0$ $0$
2.563.24t22.1c1 2.563.24t22.1c2 $2$ $563$ x8 - 2x7 + 3x6 + x5 - 4x4 + 12x3 - 7x2 + 2x - 9 $\textrm{GL(2,3)}$ $0$ $0$
2.643.24t22.1c1 2.643.24t22.1c2 $2$ $643$ x8 - 2x7 + 3x6 + x5 - 7x4 + 18x3 - 12x2 + 4x - 1 $\textrm{GL(2,3)}$ $0$ $0$
2.2e4_43.24t22.1c1 2.2e4_43.24t22.1c2 $2$ $2^{4} \cdot 43$ x8 - 2x7 + 4x6 - 12x5 + 16x4 - 18x3 + 10x2 - 1 $\textrm{GL(2,3)}$ $0$ $0$
2.751.24t22.1c1 2.751.24t22.1c2 $2$ $751$ x8 - x7 - 2x6 + 4x5 - 9x4 + 17x3 - 21x2 + 7x - 4 $\textrm{GL(2,3)}$ $0$ $0$
2.2e3_11e2.24t22.1c1 2.2e3_11e2.24t22.1c2 $2$ $2^{3} \cdot 11^{2}$ x8 + 22x4 - 44x3 - 44x - 99 $\textrm{GL(2,3)}$ $0$ $0$
2.3e2_109.24t22.3c1 2.3e2_109.24t22.3c2 $2$ $3^{2} \cdot 109$ x8 - 3x7 + 6x6 - 6x5 + 12x3 - 18x2 + 12x - 3 $\textrm{GL(2,3)}$ $0$ $0$
2.3e2_109.24t22.1c1 2.3e2_109.24t22.1c2 $2$ $3^{2} \cdot 109$ x8 - 4x7 + 10x6 - 16x5 + 10x4 + 2x3 + 10x2 - 13x - 8 $\textrm{GL(2,3)}$ $0$ $0$
2.2e3_131.24t22.1c1 2.2e3_131.24t22.1c2 $2$ $2^{3} \cdot 131$ x8 + 4x6 - 4x5 + 2x4 - 6x3 - 4x2 - 18x - 29 $\textrm{GL(2,3)}$ $0$ $0$
2.7_157.24t22.1c1 2.7_157.24t22.1c2 $2$ $7 \cdot 157$ x8 - 3x7 + 2x6 - 3x4 + 11x3 - 13x2 + 15x - 11 $\textrm{GL(2,3)}$ $0$ $0$
2.7_157.24t22.3c1 2.7_157.24t22.3c2 $2$ $7 \cdot 157$ x8 - 6x6 - 5x5 + 19x4 + 21x3 - 18x2 - 36x - 5 $\textrm{GL(2,3)}$ $0$ $0$
2.3e3_41.24t22.3c1 2.3e3_41.24t22.3c2 $2$ $3^{3} \cdot 41$ x8 - x7 + x6 + 5x5 - 11x4 + 8x3 - 7x2 + 4x - 1 $\textrm{GL(2,3)}$ $0$ $0$
2.3e3_41.24t22.1c1 2.3e3_41.24t22.1c2 $2$ $3^{3} \cdot 41$ x8 + 2x6 - 2x5 - 3x4 - 7x3 - 11x2 - 6x - 1 $\textrm{GL(2,3)}$ $0$ $0$
2.2e3_3e2_17.24t22.2c1 2.2e3_3e2_17.24t22.2c2 $2$ $2^{3} \cdot 3^{2} \cdot 17$ x8 - 4x7 - 2x6 + 14x5 + 16x4 + 14x3 - 2x2 - 4x + 1 $\textrm{GL(2,3)}$ $0$ $0$
2.2e3_3e2_17.24t22.1c1 2.2e3_3e2_17.24t22.1c2 $2$ $2^{3} \cdot 3^{2} \cdot 17$ x8 - 6x4 - 24x2 - 51 $\textrm{GL(2,3)}$ $0$ $0$
2.2e3_163.24t22.1c1 2.2e3_163.24t22.1c2 $2$ $2^{3} \cdot 163$ x8 - 4x7 + 10x6 - 14x5 + 4x4 + 14x3 + 6x2 - 8x - 10 $\textrm{GL(2,3)}$ $0$ $0$
2.1399.24t22.1c1 2.1399.24t22.1c2 $2$ $1399$ x8 - 4x7 + 8x6 - 10x5 + 4x4 + 4x3 - 14x2 + 11x - 8 $\textrm{GL(2,3)}$ $0$ $0$
2.1423.24t22.1c1 2.1423.24t22.1c2 $2$ $1423$ x8 - 2x7 + x6 + 7x5 - 13x4 - 4x3 + 23x2 - 25x - 4 $\textrm{GL(2,3)}$ $0$ $0$
2.2e2_19e2.24t22.1c1 2.2e2_19e2.24t22.1c2 $2$ $2^{2} \cdot 19^{2}$ x8 - 4x7 + 7x6 - 7x5 + 2x4 + 3x3 + 4x2 - 6x - 2 $\textrm{GL(2,3)}$ $0$ $0$
2.3e2_173.24t22.1c1 2.3e2_173.24t22.1c2 $2$ $3^{2} \cdot 173$ x8 - 2x7 - 2x6 + x5 + 4x4 + 10x3 - 11x2 - 14x - 20 $\textrm{GL(2,3)}$ $0$ $0$
2.3e2_173.24t22.2c1 2.3e2_173.24t22.2c2 $2$ $3^{2} \cdot 173$ x8 - 6x6 - 12x5 - 12x4 - 24x3 - 24x2 - 9x - 6 $\textrm{GL(2,3)}$ $0$ $0$
2.2e3_3e2_5e2.24t22.3c1 2.2e3_3e2_5e2.24t22.3c2 $2$ $2^{3} \cdot 3^{2} \cdot 5^{2}$ x8 - 4x7 + 4x6 - 16x5 + 10x4 - 16x3 + 4x2 - 4x + 1 $\textrm{GL(2,3)}$ $0$ $0$
2.2e3_3e2_5e2.24t22.1c1 2.2e3_3e2_5e2.24t22.1c2 $2$ $2^{3} \cdot 3^{2} \cdot 5^{2}$ x8 - 6x4 - 12x2 - 3 $\textrm{GL(2,3)}$ $0$ $0$
2.2e3_227.24t22.1c1 2.2e3_227.24t22.1c2 $2$ $2^{3} \cdot 227$ x8 - 2x7 - 4x5 - 6x4 - 10x3 + 6x2 + 4x - 2 $\textrm{GL(2,3)}$ $0$ $0$
2.1823.24t22.1c1 2.1823.24t22.1c2 $2$ $1823$ x8 - 4x7 + 7x6 - 6x5 - 4x4 - 3x3 + 6x2 - 5x - 19 $\textrm{GL(2,3)}$ $0$ $0$
2.1879.24t22.1c1 2.1879.24t22.1c2 $2$ $1879$ x8 - x7 + 4x6 - 7x5 - 9x4 - 29x3 - 40x2 - 35x + 1 $\textrm{GL(2,3)}$ $0$ $0$
2.2e5_59.24t22.1c1 2.2e5_59.24t22.1c2 $2$ $2^{5} \cdot 59$ x8 + 8x6 + 14x4 - 24x2 - 59 $\textrm{GL(2,3)}$ $0$ $0$
2.2e5_59.24t22.2c1 2.2e5_59.24t22.2c2 $2$ $2^{5} \cdot 59$ x8 - 8x6 + 14x4 + 24x2 - 59 $\textrm{GL(2,3)}$ $0$ $0$
2.1931.24t22.1c1 2.1931.24t22.1c2 $2$ $1931$ x8 - 4x7 + 7x6 - 5x5 + x4 - 18x3 + 27x2 + 3x - 13 $\textrm{GL(2,3)}$ $0$ $0$
2.2e4_11e2.24t22.1c1 2.2e4_11e2.24t22.1c2 $2$ $2^{4} \cdot 11^{2}$ x8 - 22x4 - 44x2 - 11 $\textrm{GL(2,3)}$ $0$ $0$
2.2e3_3e5.24t22.1c1 2.2e3_3e5.24t22.1c2 $2$ $2^{3} \cdot 3^{5}$ x8 - 6x4 + 4x2 - 3 $\textrm{GL(2,3)}$ $0$ $0$
2.2e2_523.24t22.1c1 2.2e2_523.24t22.1c2 $2$ $2^{2} \cdot 523$ x8 - 4x7 + 3x6 - x5 + 11x4 - 9x3 + 2x2 - 9x - 2 $\textrm{GL(2,3)}$ $0$ $0$
2.2e4_131.24t22.1c1 2.2e4_131.24t22.1c2 $2$ $2^{4} \cdot 131$ x8 - 2x7 - 6x6 + 28x5 - 44x4 + 38x3 - 8x2 - 4x - 1 $\textrm{GL(2,3)}$ $0$ $0$
2.3e2_239.24t22.2c1 2.3e2_239.24t22.2c2 $2$ $3^{2} \cdot 239$ x8 - 4x7 + 4x6 + 2x5 - 8x4 + 8x3 + 10x2 - 13x - 5 $\textrm{GL(2,3)}$ $0$ $0$
2.3e2_239.24t22.1c1 2.3e2_239.24t22.1c2 $2$ $3^{2} \cdot 239$ x8 - 3x7 - 8x6 + 21x5 + 21x4 - 33x3 - 14x2 + 39x - 8 $\textrm{GL(2,3)}$ $0$ $0$
2.37_59.24t22.3c1 2.37_59.24t22.3c2 $2$ $37 \cdot 59$ x8 - x7 - 5x6 - x5 + 12x4 + 18x3 - 15x2 - 27x + 4 $\textrm{GL(2,3)}$ $0$ $0$
2.37_59.24t22.1c1 2.37_59.24t22.1c2 $2$ $37 \cdot 59$ x8 - x7 - 8x6 + 15x5 + 20x4 - 46x3 - 17x2 + 74x - 37 $\textrm{GL(2,3)}$ $0$ $0$
2.2243.24t22.1c1 2.2243.24t22.1c2 $2$ $2243$ x8 - 6x6 - 9x5 + 11x4 + 35x3 + 4x2 - 74x - 85 $\textrm{GL(2,3)}$ $0$ $0$
2.2e2_571.24t22.1c1 2.2e2_571.24t22.1c2 $2$ $2^{2} \cdot 571$ x8 - 4x7 + 9x6 - 13x5 + 11x4 - 5x3 + 2x2 - x - 2 $\textrm{GL(2,3)}$ $0$ $0$
2.2e7_19.24t22.4c1 2.2e7_19.24t22.4c2 $2$ $2^{7} \cdot 19$ x8 - 8x6 + 22x4 - 16x2 - 19 $\textrm{GL(2,3)}$ $0$ $0$
2.2e7_19.24t22.1c1 2.2e7_19.24t22.1c2 $2$ $2^{7} \cdot 19$ x8 - 12x4 - 16x2 - 76 $\textrm{GL(2,3)}$ $0$ $0$
2.2e7_19.24t22.2c1 2.2e7_19.24t22.2c2 $2$ $2^{7} \cdot 19$ x8 - 12x4 + 16x2 - 76 $\textrm{GL(2,3)}$ $0$ $0$
2.2e7_19.24t22.5c1 2.2e7_19.24t22.5c2 $2$ $2^{7} \cdot 19$ x8 + 8x6 + 22x4 + 16x2 - 19 $\textrm{GL(2,3)}$ $0$ $0$
2.2e4_3e2_17.24t22.1c1 2.2e4_3e2_17.24t22.1c2 $2$ $2^{4} \cdot 3^{2} \cdot 17$ x8 + 12x6 - 6x4 - 48x2 - 51 $\textrm{GL(2,3)}$ $0$ $0$
2.2e4_3e2_17.24t22.3c1 2.2e4_3e2_17.24t22.3c2 $2$ $2^{4} \cdot 3^{2} \cdot 17$ x8 - 12x6 + 42x4 + 72x2 - 51 $\textrm{GL(2,3)}$ $0$ $0$
2.3e2_283.24t22.1c1 2.3e2_283.24t22.1c2 $2$ $3^{2} \cdot 283$ x8 - x7 - 6x6 + 8x5 + 42x4 - 118x3 + 95x2 + 57x - 119 $\textrm{GL(2,3)}$ $0$ $0$
2.11_233.24t22.1c1 2.11_233.24t22.1c2 $2$ $11 \cdot 233$ x8 - 4x6 - 4x5 + 13x4 + x3 - 60x2 - 75x - 41 $\textrm{GL(2,3)}$ $0$ $0$
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