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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
2.39.4t3.a.a $2$ $ 3 \cdot 13 $ x4 - x3 - x2 + x + 1 $D_{4}$ $1$ $0$
2.55.4t3.c.a $2$ $ 5 \cdot 11 $ x4 - x3 + 2x - 1 $D_{4}$ $1$ $0$
2.56.4t3.b.a $2$ $ 2^{3} \cdot 7 $ x4 - x3 + x + 1 $D_{4}$ $1$ $0$
2.63.4t3.a.a $2$ $ 3^{2} \cdot 7 $ x4 - x3 + 2x + 1 $D_{4}$ $1$ $0$
2.68.4t3.a.a $2$ $ 2^{2} \cdot 17 $ x4 + x2 - 2x + 1 $D_{4}$ $1$ $0$
2.80.4t3.a.a $2$ $ 2^{4} \cdot 5 $ x4 - 2x3 + 2 $D_{4}$ $1$ $0$
2.95.4t3.c.a $2$ $ 5 \cdot 19 $ x4 - 2x3 + 2x2 - x - 1 $D_{4}$ $1$ $0$
2.111.4t3.a.a $2$ $ 3 \cdot 37 $ x4 - x3 - 2x2 + 3 $D_{4}$ $1$ $0$
2.128.4t3.a.a $2$ $ 2^{7}$ x4 - 2x2 + 2 $D_{4}$ $1$ $0$
2.136.4t3.b.a $2$ $ 2^{3} \cdot 17 $ x4 - 2x3 + x2 - 2x + 3 $D_{4}$ $1$ $0$
2.136.4t3.a.a $2$ $ 2^{3} \cdot 17 $ x4 - 2x3 + 5x2 - 4x + 2 $D_{4}$ $1$ $-2$
2.144.4t3.b.a $2$ $ 2^{4} \cdot 3^{2}$ x4 - 3x2 + 3 $D_{4}$ $1$ $0$
2.145.4t3.b.a $2$ $ 5 \cdot 29 $ x4 - x3 - 3x2 + x + 1 $D_{4}$ $1$ $2$
2.155.4t3.c.a $2$ $ 5 \cdot 31 $ x4 - x3 - 3x - 1 $D_{4}$ $1$ $0$
2.164.4t3.c.a $2$ $ 2^{2} \cdot 41 $ x4 - 2x3 - x2 + 2x + 2 $D_{4}$ $1$ $0$
2.171.4t3.c.a $2$ $ 3^{2} \cdot 19 $ x4 - x3 - 3x2 + 2x + 4 $D_{4}$ $1$ $0$
2.183.4t3.a.a $2$ $ 3 \cdot 61 $ x4 - 2x3 - 2x2 + 3x + 3 $D_{4}$ $1$ $0$
2.184.4t3.c.a $2$ $ 2^{3} \cdot 23 $ x4 - 2x3 + 3x2 - 2x - 1 $D_{4}$ $1$ $0$
2.196.4t3.a.a $2$ $ 2^{2} \cdot 7^{2}$ x4 - x3 + 3x2 - 4x + 2 $D_{4}$ $1$ $0$
2.203.4t3.a.a $2$ $ 7 \cdot 29 $ x4 - 2x3 + 2x2 - x + 2 $D_{4}$ $1$ $0$
2.205.4t3.a.a $2$ $ 5 \cdot 41 $ x4 - x3 + 3x2 - 2x + 4 $D_{4}$ $1$ $-2$
2.208.4t3.c.a $2$ $ 2^{4} \cdot 13 $ x4 - 2x3 - 2x + 5 $D_{4}$ $1$ $0$
2.219.4t3.c.a $2$ $ 3 \cdot 73 $ x4 - x3 + 5x2 - 2x + 4 $D_{4}$ $1$ $0$
2.221.4t3.b.a $2$ $ 13 \cdot 17 $ x4 - x3 + x2 - 2x + 4 $D_{4}$ $1$ $-2$
2.224.4t3.a.a $2$ $ 2^{5} \cdot 7 $ x4 - x2 + 2 $D_{4}$ $1$ $0$
2.248.4t3.c.a $2$ $ 2^{3} \cdot 31 $ x4 - 2x3 + x2 - 2 $D_{4}$ $1$ $0$
2.256.4t3.c.a $2$ $ 2^{8}$ x4 - 2 $D_{4}$ $1$ $0$
2.259.4t3.a.a $2$ $ 7 \cdot 37 $ x4 - 2x3 + x + 2 $D_{4}$ $1$ $0$
2.260.4t3.a.a $2$ $ 2^{2} \cdot 5 \cdot 13 $ x4 + x2 - 4x + 4 $D_{4}$ $1$ $0$
2.260.4t3.b.a $2$ $ 2^{2} \cdot 5 \cdot 13 $ x4 - 3x2 - 2x + 5 $D_{4}$ $1$ $0$
2.264.4t3.d.a $2$ $ 2^{3} \cdot 3 \cdot 11 $ x4 - 2x3 + x2 + 2 $D_{4}$ $1$ $0$
2.264.4t3.c.a $2$ $ 2^{3} \cdot 3 \cdot 11 $ x4 - 2x3 + 5x2 - 2x + 1 $D_{4}$ $1$ $0$
2.275.4t3.c.a $2$ $ 5^{2} \cdot 11 $ x4 - x3 + x2 + 4x - 4 $D_{4}$ $1$ $0$
2.276.4t3.e.a $2$ $ 2^{2} \cdot 3 \cdot 23 $ x4 - 2x3 - x2 + 2x - 2 $D_{4}$ $1$ $0$
2.276.4t3.f.a $2$ $ 2^{2} \cdot 3 \cdot 23 $ x4 + x2 - 6x + 1 $D_{4}$ $1$ $0$
2.279.4t3.b.a $2$ $ 3^{2} \cdot 31 $ x4 - x3 - 3x2 - x + 7 $D_{4}$ $1$ $0$
2.291.4t3.c.a $2$ $ 3 \cdot 97 $ x4 - x3 - 4x2 + x + 7 $D_{4}$ $1$ $0$
2.292.4t3.a.a $2$ $ 2^{2} \cdot 73 $ x4 - x2 - 4x + 5 $D_{4}$ $1$ $0$
2.295.4t3.c.a $2$ $ 5 \cdot 59 $ x4 - x3 - x2 + 5x - 5 $D_{4}$ $1$ $0$
2.299.4t3.a.a $2$ $ 13 \cdot 23 $ x4 - x3 + 5x - 1 $D_{4}$ $1$ $0$
2.305.4t3.a.a $2$ $ 5 \cdot 61 $ x4 - 2x3 + 6x2 - 5x + 5 $D_{4}$ $1$ $-2$
2.308.4t3.d.a $2$ $ 2^{2} \cdot 7 \cdot 11 $ x4 - x3 - 2x2 + 2x + 4 $D_{4}$ $1$ $0$
2.308.4t3.c.a $2$ $ 2^{2} \cdot 7 \cdot 11 $ x4 - x3 + x2 + 4x + 2 $D_{4}$ $1$ $0$
2.320.4t3.a.a $2$ $ 2^{6} \cdot 5 $ x4 - 4x2 + 5 $D_{4}$ $1$ $0$
2.323.4t3.a.a $2$ $ 17 \cdot 19 $ x4 - 2x3 - 2x2 + 3x - 2 $D_{4}$ $1$ $0$
2.327.4t3.c.a $2$ $ 3 \cdot 109 $ x4 - x3 - 4x2 + 4x + 7 $D_{4}$ $1$ $0$
2.328.4t3.c.a $2$ $ 2^{3} \cdot 41 $ x4 - 2x3 - 3x2 + 2x + 1 $D_{4}$ $1$ $2$
2.328.4t3.d.a $2$ $ 2^{3} \cdot 41 $ x4 - 2x3 + 3x2 - 2x + 3 $D_{4}$ $1$ $0$
2.336.4t3.a.a $2$ $ 2^{4} \cdot 3 \cdot 7 $ x4 - 5x2 + 7 $D_{4}$ $1$ $0$
2.336.4t3.b.a $2$ $ 2^{4} \cdot 3 \cdot 7 $ x4 + 5x2 + 7 $D_{4}$ $1$ $0$
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