Results: displaying matches 1-10 of 926

Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
7.29e6.8t25.1c1 $7$ $ 29^{6}$ x8 - 3x7 + 9x6 - 15x5 + 23x4 - 21x3 + 18x2 - 7x + 2 $C_2^3:C_7$ $1$ $-1$
7.2e6_73e4.8t36.1c1 $7$ $ 2^{6} \cdot 73^{4}$ x8 - x7 + 6x6 - 2x5 + 12x4 + 4x3 + 14x2 + 2 $C_2^3:(C_7: C_3)$ $1$ $-1$
7.313e4.8t36.1c1 $7$ $ 313^{4}$ x8 - x7 - x6 - 4x5 + x4 + 11x3 + 16x2 + 5x + 1 $C_2^3:(C_7: C_3)$ $1$ $-1$
7.313e4.8t36.2c1 $7$ $ 313^{4}$ x8 - x7 + x6 + 3x5 + 5x4 - 5x3 + 7x + 9 $C_2^3:(C_7: C_3)$ $1$ $-1$
7.2e6_7e10.8t36.1c1 $7$ $ 2^{6} \cdot 7^{10}$ x8 - x7 + 7x6 + 7x5 + 7x4 + 7x3 + 7x2 + 5x + 2 $C_2^3:(C_7: C_3)$ $1$ $-1$
7.2e8_3e6_7e6.16t713.1c1 $7$ $ 2^{8} \cdot 3^{6} \cdot 7^{6}$ x8 - 4x7 + 21x4 - 18x + 9 $\PGL(2,7)$ $1$ $-1$
7.2e10_73e4.8t36.1c1 $7$ $ 2^{10} \cdot 73^{4}$ x8 - 2x7 + 8x6 - 2x5 + 14x4 + 10x3 + 28x2 + 10x + 1 $C_2^3:(C_7: C_3)$ $1$ $-1$
7.2e6_5e4_7e7.8t43.1c1 $7$ $ 2^{6} \cdot 5^{4} \cdot 7^{7}$ x8 - 3x7 + 14x4 - 14x2 - 10x + 2 $\PGL(2,7)$ $1$ $1$
7.3e8_7e8.8t37.1c1 $7$ $ 3^{8} \cdot 7^{8}$ x7 - 7x4 - 21x3 + 21x2 + 42x - 9 $\GL(3,2)$ $1$ $-1$
7.2e6_3e4_53e4.8t37.1c1 $7$ $ 2^{6} \cdot 3^{4} \cdot 53^{4}$ x7 - 2x6 - 4x5 + 10x3 + 4x2 - 10x - 6 $\GL(3,2)$ $1$ $-1$
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