## Results (displaying matches 1-50 of 115) Next

Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
5.2e6_67e2.6t15.1c1 $5$ $2^{6} \cdot 67^{2}$ x6 - 2x4 + x2 - 2x - 1 $A_6$ $1$ $1$
5.3e6_29e2.6t15.1c1 $5$ $3^{6} \cdot 29^{2}$ x6 - 3x3 - 3x + 4 $A_6$ $1$ $1$
5.3e6_31e2.6t15.2c1 $5$ $3^{6} \cdot 31^{2}$ x6 - x3 - 3x2 - 1 $A_6$ $1$ $1$
5.7e2_149e2.6t15.2c1 $5$ $7^{2} \cdot 149^{2}$ x6 - x5 + 2x4 - 3x2 + 2x - 4 $A_6$ $1$ $1$
5.3e8_13e2.6t15.1c1 $5$ $3^{8} \cdot 13^{2}$ x6 - 3x5 + 3x4 - 3x2 + 3x + 2 $A_6$ $1$ $1$
5.2e6_7e2_23e2.6t15.2c1 $5$ $2^{6} \cdot 7^{2} \cdot 23^{2}$ x6 - 3x5 + 5x4 - 8x2 + 4x + 4 $A_6$ $1$ $1$
5.2e8_3e8.6t15.1c1 $5$ $2^{8} \cdot 3^{8}$ x6 - 3x5 + 3x4 - 6x2 + 6x - 2 $A_6$ $1$ $1$
5.2e4_3e6_13e2.6t15.2c1 $5$ $2^{4} \cdot 3^{6} \cdot 13^{2}$ x6 - 3x5 + 3x4 - 2 $A_6$ $1$ $1$
5.2e6_7e2_31e2.6t15.1c1 $5$ $2^{6} \cdot 7^{2} \cdot 31^{2}$ x6 - 2x5 + x4 - 2x3 - x2 + 6x - 1 $A_6$ $1$ $1$
5.2e10_3e8.6t15.1c1 $5$ $2^{10} \cdot 3^{8}$ x6 - 3x5 + 3x4 - 6x2 + 6x - 2 $A_6$ $1$ $1$
5.2e6_3e6_13e2.6t15.2c1 $5$ $2^{6} \cdot 3^{6} \cdot 13^{2}$ x6 - 3x5 + 3x4 - 2 $A_6$ $1$ $1$
5.3e8_7e4.6t15.2c1 $5$ $3^{8} \cdot 7^{4}$ x6 - 3x5 + 3x4 + 9x3 - 18x2 - 9x + 18 $A_6$ $1$ $1$
5.13e2_19e4.6t15.2c1 $5$ $13^{2} \cdot 19^{4}$ x6 - 4x4 - 15x3 - 15x2 - 8x + 4 $A_6$ $1$ $1$
5.3e6_5e4_7e2.6t15.2c1 $5$ $3^{6} \cdot 5^{4} \cdot 7^{2}$ x6 + 3x4 - 12x2 - 15x + 16 $A_6$ $1$ $1$
5.2e12_3e8.6t15.2c1 $5$ $2^{12} \cdot 3^{8}$ x6 + 6x4 - 4x3 - 3x2 - 12x - 12 $A_6$ $1$ $1$
5.2e12_3e8.6t15.3c1 $5$ $2^{12} \cdot 3^{8}$ x6 - 8x3 + 9x2 - 6 $A_6$ $1$ $1$
5.2e4_7e4_31e2.6t15.1c1 $5$ $2^{4} \cdot 7^{4} \cdot 31^{2}$ x6 - 2x5 + x4 - 2x3 - x2 + 6x - 1 $A_6$ $1$ $1$
5.3e6_5e2_7e4.6t15.2c1 $5$ $3^{6} \cdot 5^{2} \cdot 7^{4}$ x6 + 3x4 - 12x2 - 15x + 16 $A_6$ $1$ $1$
5.7e4_149e2.6t15.2c1 $5$ $7^{4} \cdot 149^{2}$ x6 - x5 + 2x4 - 3x2 + 2x - 4 $A_6$ $1$ $1$
5.2e8_23e4.6t15.1c1 $5$ $2^{8} \cdot 23^{4}$ x6 - x5 + x4 + 4x3 - 6x2 + 2x + 2 $A_6$ $1$ $1$
5.2e6_7e4_23e2.6t15.2c1 $5$ $2^{6} \cdot 7^{4} \cdot 23^{2}$ x6 - 3x5 + 5x4 - 8x2 + 4x + 4 $A_6$ $1$ $1$
5.3e6_19e4.6t15.2c1 $5$ $3^{6} \cdot 19^{4}$ x6 - 3x5 - 3x4 + 8x3 + 9x2 - 9x + 6 $A_6$ $1$ $1$
5.2e14_3e8.6t15.1c1 $5$ $2^{14} \cdot 3^{8}$ x6 - 12x3 + 21x2 + 12x - 34 $A_6$ $1$ $1$
5.5e8_17e2.6t15.1c1 $5$ $5^{8} \cdot 17^{2}$ x6 - 2x5 + 5x2 - 11x - 13 $A_6$ $1$ $1$
5.5e8_17e2.6t15.2c1 $5$ $5^{8} \cdot 17^{2}$ x6 - 2x5 + 5x2 - 11x - 13 $A_6$ $1$ $1$
5.3e10_7e4.6t15.2c1 $5$ $3^{10} \cdot 7^{4}$ x6 - 3x5 + 3x4 + 9x3 - 18x2 - 9x + 18 $A_6$ $1$ $1$
5.3e8_7e2_23e2.6t15.1c1 $5$ $3^{8} \cdot 7^{2} \cdot 23^{2}$ x6 - 3x5 - 9x4 + 14x3 + 27x2 - 3x - 10 $A_6$ $1$ $5$
5.7e4_283e2.6t15.1c1 $5$ $7^{4} \cdot 283^{2}$ x6 - x5 - 12x4 + 7x3 + 21x2 - 7x - 7 $A_6$ $1$ $5$
5.2e12_3e10.6t15.2c1 $5$ $2^{12} \cdot 3^{10}$ x6 + 6x4 - 4x3 - 3x2 - 12x - 12 $A_6$ $1$ $1$
5.2e12_3e10.6t15.3c1 $5$ $2^{12} \cdot 3^{10}$ x6 - 8x3 + 9x2 - 6 $A_6$ $1$ $1$
5.3e6_5e8.6t15.1c1 $5$ $3^{6} \cdot 5^{8}$ x6 - 5x3 + 45x2 - 99x - 15 $A_6$ $1$ $1$
5.2e10_23e4.6t15.1c1 $5$ $2^{10} \cdot 23^{4}$ x6 - x5 + x4 + 4x3 - 6x2 + 2x + 2 $A_6$ $1$ $1$
5.3e6_29e4.6t15.1c1 $5$ $3^{6} \cdot 29^{4}$ x6 - 3x3 - 3x + 4 $A_6$ $1$ $1$
5.3e6_31e4.6t15.2c1 $5$ $3^{6} \cdot 31^{4}$ x6 - x3 - 3x2 - 1 $A_6$ $1$ $1$
5.2e14_3e10.6t15.1c1 $5$ $2^{14} \cdot 3^{10}$ x6 - 12x3 + 21x2 + 12x - 34 $A_6$ $1$ $1$
5.2e6_67e4.6t15.1c1 $5$ $2^{6} \cdot 67^{4}$ x6 - 2x4 + x2 - 2x - 1 $A_6$ $1$ $1$
5.3e10_13e4.6t15.1c1 $5$ $3^{10} \cdot 13^{4}$ x6 - 3x5 + 3x4 - 3x2 + 3x + 2 $A_6$ $1$ $1$
5.3e8_5e8.6t15.1c1 $5$ $3^{8} \cdot 5^{8}$ x6 - 3x5 + 15x4 - 25x3 - 45x + 60 $A_6$ $1$ $1$
5.13e4_19e4.6t15.2c1 $5$ $13^{4} \cdot 19^{4}$ x6 - 4x4 - 15x3 - 15x2 - 8x + 4 $A_6$ $1$ $1$
5.2e14_5e8.6t15.1c1 $5$ $2^{14} \cdot 5^{8}$ x6 - 2x5 + 15x4 + 50x2 - 4x - 82 $A_6$ $1$ $1$
5.2e14_5e8.6t15.2c1 $5$ $2^{14} \cdot 5^{8}$ x6 - 2x5 + 15x4 + 50x2 - 4x - 82 $A_6$ $1$ $1$
5.3e10_19e4.6t15.2c1 $5$ $3^{10} \cdot 19^{4}$ x6 - 3x5 - 3x4 + 8x3 + 9x2 - 9x + 6 $A_6$ $1$ $1$
5.3e10_5e8.6t15.1c1 $5$ $3^{10} \cdot 5^{8}$ x6 - 5x3 + 45x2 - 99x - 15 $A_6$ $1$ $1$
5.3e10_5e8.6t15.2c1 $5$ $3^{10} \cdot 5^{8}$ x6 - 3x5 + 15x4 - 25x3 - 45x + 60 $A_6$ $1$ $1$
5.3e8_7e4_23e4.6t15.1c1 $5$ $3^{8} \cdot 7^{4} \cdot 23^{4}$ x6 - 3x5 - 9x4 + 14x3 + 27x2 - 3x - 10 $A_6$ $1$ $5$
5.7e4_283e4.6t15.1c1 $5$ $7^{4} \cdot 283^{4}$ x6 - x5 - 12x4 + 7x3 + 21x2 - 7x - 7 $A_6$ $1$ $5$
8.2e18_3e16.36t555.1c1 8.2e18_3e16.36t555.1c2 $8$ $2^{18} \cdot 3^{16}$ x6 - 3x5 + 3x4 - 6x2 + 6x - 2 $A_6$ $1$ $0$
8.2e10_3e12_13e4.36t555.2c1 8.2e10_3e12_13e4.36t555.2c2 $8$ $2^{10} \cdot 3^{12} \cdot 13^{4}$ x6 - 3x5 + 3x4 - 2 $A_6$ $1$ $0$
8.5e12_17e4.36t555.1c1 8.5e12_17e4.36t555.1c2 $8$ $5^{12} \cdot 17^{4}$ x6 - 2x5 + 5x2 - 11x - 13 $A_6$ $1$ $0$
8.2e18_23e6.36t555.1c1 8.2e18_23e6.36t555.1c2 $8$ $2^{18} \cdot 23^{6}$ x6 - x5 + x4 + 4x3 - 6x2 + 2x + 2 $A_6$ $1$ $0$
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