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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
1.1.1t1.1c1 $1$ $1$ x Trivial $1$ $1$
1.3.2t1.1c1 $1$ $ 3 $ x2 - x + 1 $C_2$ $1$ $-1$
1.2e2.2t1.1c1 $1$ $ 2^{2}$ x2 + 1 $C_2$ $1$ $-1$
1.5.2t1.1c1 $1$ $ 5 $ x2 - x - 1 $C_2$ $1$ $1$
1.5.4t1.1c1 1.5.4t1.1c2 $1$ $ 5 $ x4 - x3 + x2 - x + 1 $C_4$ $0$ $-1$
1.7.2t1.1c1 $1$ $ 7 $ x2 - x + 2 $C_2$ $1$ $-1$
1.7.3t1.1c1 1.7.3t1.1c2 $1$ $ 7 $ x3 - x2 - 2x + 1 $C_3$ $0$ $1$
1.7.6t1.1c1 1.7.6t1.1c2 $1$ $ 7 $ x6 - x5 + x4 - x3 + x2 - x + 1 $C_6$ $0$ $-1$
1.2e3.2t1.2c1 $1$ $ 2^{3}$ x2 + 2 $C_2$ $1$ $-1$
1.2e3.2t1.1c1 $1$ $ 2^{3}$ x2 - 2 $C_2$ $1$ $1$
1.3e2.3t1.1c1 1.3e2.3t1.1c2 $1$ $ 3^{2}$ x3 - 3x - 1 $C_3$ $0$ $1$
1.3e2.6t1.1c1 1.3e2.6t1.1c2 $1$ $ 3^{2}$ x6 - x3 + 1 $C_6$ $0$ $-1$
1.11.2t1.1c1 $1$ $ 11 $ x2 - x + 3 $C_2$ $1$ $-1$
1.11.5t1.1c1 1.11.5t1.1c2 1.11.5t1.1c3 1.11.5t1.1c4 $1$ $ 11 $ x5 - x4 - 4x3 + 3x2 + 3x - 1 $C_5$ $0$ $1$
1.11.10t1.1c1 1.11.10t1.1c2 1.11.10t1.1c3 1.11.10t1.1c4 $1$ $ 11 $ x10 - x9 + x8 - x7 + x6 - x5 + x4 - x3 + x2 - x + 1 $C_{10}$ $0$ $-1$
1.2e2_3.2t1.1c1 $1$ $ 2^{2} \cdot 3 $ x2 - 3 $C_2$ $1$ $1$
1.13.2t1.1c1 $1$ $ 13 $ x2 - x - 3 $C_2$ $1$ $1$
1.13.3t1.1c1 1.13.3t1.1c2 $1$ $ 13 $ x3 - x2 - 4x - 1 $C_3$ $0$ $1$
1.13.4t1.1c1 1.13.4t1.1c2 $1$ $ 13 $ x4 - x3 + 2x2 + 4x + 3 $C_4$ $0$ $-1$
1.13.6t1.1c1 1.13.6t1.1c2 $1$ $ 13 $ x6 - x5 - 5x4 + 4x3 + 6x2 - 3x - 1 $C_6$ $0$ $1$
1.3_5.2t1.1c1 $1$ $ 3 \cdot 5 $ x2 - x + 4 $C_2$ $1$ $-1$
1.3_5.4t1.1c1 1.3_5.4t1.1c2 $1$ $ 3 \cdot 5 $ x4 - x3 - 4x2 + 4x + 1 $C_4$ $0$ $1$
1.2e4.4t1.2c1 1.2e4.4t1.2c2 $1$ $ 2^{4}$ x4 + 4x2 + 2 $C_4$ $0$ $-1$
1.2e4.4t1.1c1 1.2e4.4t1.1c2 $1$ $ 2^{4}$ x4 - 4x2 + 2 $C_4$ $0$ $1$
1.17.2t1.1c1 $1$ $ 17 $ x2 - x - 4 $C_2$ $1$ $1$
1.17.4t1.1c1 1.17.4t1.1c2 $1$ $ 17 $ x4 - x3 - 6x2 + x + 1 $C_4$ $0$ $1$
1.17.8t1.1c1 1.17.8t1.1c2 1.17.8t1.1c3 1.17.8t1.1c4 $1$ $ 17 $ x8 - x7 - 7x6 + 6x5 + 15x4 - 10x3 - 10x2 + 4x + 1 $C_8$ $0$ $1$
1.19.2t1.1c1 $1$ $ 19 $ x2 - x + 5 $C_2$ $1$ $-1$
1.19.3t1.1c1 1.19.3t1.1c2 $1$ $ 19 $ x3 - x2 - 6x + 7 $C_3$ $0$ $1$
1.19.6t1.1c1 1.19.6t1.1c2 $1$ $ 19 $ x6 - x5 + 2x4 + 8x3 - x2 - 5x + 7 $C_6$ $0$ $-1$
1.19.9t1.1c1 1.19.9t1.1c2 1.19.9t1.1c3 1.19.9t1.1c4 1.19.9t1.1c5 1.19.9t1.1c6 $1$ $ 19 $ x9 - x8 - 8x7 + 7x6 + 21x5 - 15x4 - 20x3 + 10x2 + 5x - 1 $C_9$ $0$ $1$
1.2e2_5.2t1.1c1 $1$ $ 2^{2} \cdot 5 $ x2 + 5 $C_2$ $1$ $-1$
1.2e2_5.4t1.1c1 1.2e2_5.4t1.1c2 $1$ $ 2^{2} \cdot 5 $ x4 - 5x2 + 5 $C_4$ $0$ $1$
1.3_7.6t1.1c1 1.3_7.6t1.1c2 $1$ $ 3 \cdot 7 $ x6 - x5 - 6x4 + 6x3 + 8x2 - 8x + 1 $C_6$ $0$ $1$
1.3_7.6t1.2c1 1.3_7.6t1.2c2 $1$ $ 3 \cdot 7 $ x6 - x5 + 3x4 + 5x2 - 2x + 1 $C_6$ $0$ $-1$
1.3_7.2t1.1c1 $1$ $ 3 \cdot 7 $ x2 - x - 5 $C_2$ $1$ $1$
1.23.2t1.1c1 $1$ $ 23 $ x2 - x + 6 $C_2$ $1$ $-1$
1.23.11t1.1c1 1.23.11t1.1c2 1.23.11t1.1c3 1.23.11t1.1c4 1.23.11t1.1c5 1.23.11t1.1c6 1.23.11t1.1c7 1.23.11t1.1c8 1.23.11t1.1c9 1.23.11t1.1c10 $1$ $ 23 $ x11 - x10 - 10x9 + 9x8 + 36x7 - 28x6 - 56x5 + 35x4 + 35x3 - 15x2 - 6x + 1 $C_{11}$ $0$ $1$
1.2e3_3.2t1.2c1 $1$ $ 2^{3} \cdot 3 $ x2 + 6 $C_2$ $1$ $-1$
1.2e3_3.2t1.1c1 $1$ $ 2^{3} \cdot 3 $ x2 - 6 $C_2$ $1$ $1$
1.5e2.5t1.1c1 1.5e2.5t1.1c2 1.5e2.5t1.1c3 1.5e2.5t1.1c4 $1$ $ 5^{2}$ x5 - 10x3 - 5x2 + 10x - 1 $C_5$ $0$ $1$
1.3e3.9t1.1c1 1.3e3.9t1.1c2 1.3e3.9t1.1c3 1.3e3.9t1.1c4 1.3e3.9t1.1c5 1.3e3.9t1.1c6 $1$ $ 3^{3}$ x9 - 9x7 + 27x5 - 30x3 + 9x - 1 $C_9$ $0$ $1$
1.2e2_7.2t1.1c1 $1$ $ 2^{2} \cdot 7 $ x2 - 7 $C_2$ $1$ $1$
1.2e2_7.6t1.2c1 1.2e2_7.6t1.2c2 $1$ $ 2^{2} \cdot 7 $ x6 + 5x4 + 6x2 + 1 $C_6$ $0$ $-1$
1.2e2_7.6t1.1c1 1.2e2_7.6t1.1c2 $1$ $ 2^{2} \cdot 7 $ x6 - 7x4 + 14x2 - 7 $C_6$ $0$ $1$
1.29.2t1.1c1 $1$ $ 29 $ x2 - x - 7 $C_2$ $1$ $1$
1.29.4t1.1c1 1.29.4t1.1c2 $1$ $ 29 $ x4 - x3 + 4x2 - 20x + 23 $C_4$ $0$ $-1$
1.29.7t1.1c1 1.29.7t1.1c2 1.29.7t1.1c3 1.29.7t1.1c4 1.29.7t1.1c5 1.29.7t1.1c6 $1$ $ 29 $ x7 - x6 - 12x5 + 7x4 + 28x3 - 14x2 - 9x - 1 $C_7$ $0$ $1$
1.31.5t1.1c1 1.31.5t1.1c2 1.31.5t1.1c3 1.31.5t1.1c4 $1$ $ 31 $ x5 - x4 - 12x3 + 21x2 + x - 5 $C_5$ $0$ $1$
1.31.6t1.1c1 1.31.6t1.1c2 $1$ $ 31 $ x6 - x5 + 3x4 - 11x3 + 44x2 - 36x + 32 $C_6$ $0$ $-1$
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