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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.a.a $1$ $1$ x Trivial $1$ $1$
1.3.2t1.a.a $1$ $ 3 $ x2 - x + 1 $C_2$ $1$ $-1$
1.4.2t1.a.a $1$ $ 2^{2}$ x2 + 1 $C_2$ $1$ $-1$
1.5.2t1.a.a $1$ $ 5 $ x2 - x - 1 $C_2$ $1$ $1$
1.5.4t1.a.a 1.5.4t1.a.b $1$ $ 5 $ x4 - x3 + x2 - x + 1 $C_4$ $0$ $-1$
1.7.3t1.a.a 1.7.3t1.a.b $1$ $ 7 $ x3 - x2 - 2x + 1 $C_3$ $0$ $1$
1.7.2t1.a.a $1$ $ 7 $ x2 - x + 2 $C_2$ $1$ $-1$
1.7.6t1.a.a 1.7.6t1.a.b $1$ $ 7 $ x6 - x5 + x4 - x3 + x2 - x + 1 $C_6$ $0$ $-1$
1.8.2t1.a.a $1$ $ 2^{3}$ x2 - 2 $C_2$ $1$ $1$
1.8.2t1.b.a $1$ $ 2^{3}$ x2 + 2 $C_2$ $1$ $-1$
1.9.3t1.a.a 1.9.3t1.a.b $1$ $ 3^{2}$ x3 - 3x - 1 $C_3$ $0$ $1$
1.9.6t1.a.a 1.9.6t1.a.b $1$ $ 3^{2}$ x6 - x3 + 1 $C_6$ $0$ $-1$
1.11.10t1.a.a 1.11.10t1.a.b 1.11.10t1.a.c 1.11.10t1.a.d $1$ $ 11 $ x10 - x9 + x8 - x7 + x6 - x5 + x4 - x3 + x2 - x + 1 $C_{10}$ $0$ $-1$
1.11.5t1.a.a 1.11.5t1.a.b 1.11.5t1.a.c 1.11.5t1.a.d $1$ $ 11 $ x5 - x4 - 4x3 + 3x2 + 3x - 1 $C_5$ $0$ $1$
1.11.2t1.a.a $1$ $ 11 $ x2 - x + 3 $C_2$ $1$ $-1$
1.12.2t1.a.a $1$ $ 2^{2} \cdot 3 $ x2 - 3 $C_2$ $1$ $1$
1.13.2t1.a.a $1$ $ 13 $ x2 - x - 3 $C_2$ $1$ $1$
1.13.6t1.a.a 1.13.6t1.a.b $1$ $ 13 $ x6 - x5 - 5x4 + 4x3 + 6x2 - 3x - 1 $C_6$ $0$ $1$
1.13.3t1.a.a 1.13.3t1.a.b $1$ $ 13 $ x3 - x2 - 4x - 1 $C_3$ $0$ $1$
1.13.4t1.a.a 1.13.4t1.a.b $1$ $ 13 $ x4 - x3 + 2x2 + 4x + 3 $C_4$ $0$ $-1$
1.15.4t1.a.a 1.15.4t1.a.b $1$ $ 3 \cdot 5 $ x4 - x3 - 4x2 + 4x + 1 $C_4$ $0$ $1$
1.15.2t1.a.a $1$ $ 3 \cdot 5 $ x2 - x + 4 $C_2$ $1$ $-1$
1.16.4t1.a.a 1.16.4t1.a.b $1$ $ 2^{4}$ x4 - 4x2 + 2 $C_4$ $0$ $1$
1.16.4t1.b.a 1.16.4t1.b.b $1$ $ 2^{4}$ x4 + 4x2 + 2 $C_4$ $0$ $-1$
1.17.2t1.a.a $1$ $ 17 $ x2 - x - 4 $C_2$ $1$ $1$
1.17.4t1.a.a 1.17.4t1.a.b $1$ $ 17 $ x4 - x3 - 6x2 + x + 1 $C_4$ $0$ $1$
1.17.8t1.a.a 1.17.8t1.a.b 1.17.8t1.a.c 1.17.8t1.a.d $1$ $ 17 $ x8 - x7 - 7x6 + 6x5 + 15x4 - 10x3 - 10x2 + 4x + 1 $C_8$ $0$ $1$
1.19.9t1.a.a 1.19.9t1.a.b 1.19.9t1.a.c 1.19.9t1.a.d 1.19.9t1.a.e 1.19.9t1.a.f $1$ $ 19 $ x9 - x8 - 8x7 + 7x6 + 21x5 - 15x4 - 20x3 + 10x2 + 5x - 1 $C_9$ $0$ $1$
1.19.6t1.a.a 1.19.6t1.a.b $1$ $ 19 $ x6 - x5 + 2x4 + 8x3 - x2 - 5x + 7 $C_6$ $0$ $-1$
1.19.3t1.a.a 1.19.3t1.a.b $1$ $ 19 $ x3 - x2 - 6x + 7 $C_3$ $0$ $1$
1.19.2t1.a.a $1$ $ 19 $ x2 - x + 5 $C_2$ $1$ $-1$
1.20.2t1.a.a $1$ $ 2^{2} \cdot 5 $ x2 + 5 $C_2$ $1$ $-1$
1.20.4t1.a.a 1.20.4t1.a.b $1$ $ 2^{2} \cdot 5 $ x4 - 5x2 + 5 $C_4$ $0$ $1$
1.21.6t1.b.a 1.21.6t1.b.b $1$ $ 3 \cdot 7 $ x6 - x5 - 6x4 + 6x3 + 8x2 - 8x + 1 $C_6$ $0$ $1$
1.21.6t1.a.a 1.21.6t1.a.b $1$ $ 3 \cdot 7 $ x6 - x5 + 3x4 + 5x2 - 2x + 1 $C_6$ $0$ $-1$
1.21.2t1.a.a $1$ $ 3 \cdot 7 $ x2 - x - 5 $C_2$ $1$ $1$
1.23.22t1.a.a 1.23.22t1.a.b 1.23.22t1.a.c 1.23.22t1.a.d 1.23.22t1.a.e 1.23.22t1.a.f 1.23.22t1.a.g 1.23.22t1.a.h 1.23.22t1.a.i 1.23.22t1.a.j $1$ $ 23 $ x22 - x21 + x20 - x19 + x18 - x17 + x16 - x15 + x14 - x13 + x12 - x11 + x10 - x9 + x8 - x7 + x6 - x5 + x4 - x3 + x2 - x + 1 22T1 $0$ $-1$
1.23.2t1.a.a $1$ $ 23 $ x2 - x + 6 $C_2$ $1$ $-1$
1.23.11t1.a.a 1.23.11t1.a.b 1.23.11t1.a.c 1.23.11t1.a.d 1.23.11t1.a.e 1.23.11t1.a.f 1.23.11t1.a.g 1.23.11t1.a.h 1.23.11t1.a.i 1.23.11t1.a.j $1$ $ 23 $ x11 - x10 - 10x9 + 9x8 + 36x7 - 28x6 - 56x5 + 35x4 + 35x3 - 15x2 - 6x + 1 $C_{11}$ $0$ $1$
1.24.2t1.b.a $1$ $ 2^{3} \cdot 3 $ x2 + 6 $C_2$ $1$ $-1$
1.24.2t1.a.a $1$ $ 2^{3} \cdot 3 $ x2 - 6 $C_2$ $1$ $1$
1.25.10t1.a.a 1.25.10t1.a.b 1.25.10t1.a.c 1.25.10t1.a.d $1$ $ 5^{2}$ x10 - 10x8 + 35x6 - x5 - 50x4 + 5x3 + 25x2 - 5x - 1 $C_{10}$ $0$ $1$
1.25.5t1.a.a 1.25.5t1.a.b 1.25.5t1.a.c 1.25.5t1.a.d $1$ $ 5^{2}$ x5 - 10x3 - 5x2 + 10x - 1 $C_5$ $0$ $1$
1.25.20t1.a.a 1.25.20t1.a.b 1.25.20t1.a.c 1.25.20t1.a.d 1.25.20t1.a.e 1.25.20t1.a.f 1.25.20t1.a.g 1.25.20t1.a.h $1$ $ 5^{2}$ x20 - x15 + x10 - x5 + 1 20T1 $0$ $-1$
1.27.18t1.a.a 1.27.18t1.a.b 1.27.18t1.a.c 1.27.18t1.a.d 1.27.18t1.a.e 1.27.18t1.a.f $1$ $ 3^{3}$ x18 - x9 + 1 $C_{18}$ $0$ $-1$
1.27.9t1.a.a 1.27.9t1.a.b 1.27.9t1.a.c 1.27.9t1.a.d 1.27.9t1.a.e 1.27.9t1.a.f $1$ $ 3^{3}$ x9 - 9x7 + 27x5 - 30x3 + 9x - 1 $C_9$ $0$ $1$
1.28.6t1.b.a 1.28.6t1.b.b $1$ $ 2^{2} \cdot 7 $ x6 - 7x4 + 14x2 - 7 $C_6$ $0$ $1$
1.28.6t1.a.a 1.28.6t1.a.b $1$ $ 2^{2} \cdot 7 $ x6 + 5x4 + 6x2 + 1 $C_6$ $0$ $-1$
1.28.2t1.a.a $1$ $ 2^{2} \cdot 7 $ x2 - 7 $C_2$ $1$ $1$
1.29.2t1.a.a $1$ $ 29 $ x2 - x - 7 $C_2$ $1$ $1$
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