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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
18.107...000.36t1758.a.a $18$ $ 2^{24} \cdot 5^{9} \cdot 41^{9}$ x8 - 2x7 + 6x6 - 2x5 + 26x4 - 24x3 - 24x2 + 16x + 4 $S_4\wr C_2$ $1$ $-2$
18.893...592.36t1758.a.a $18$ $ 2^{28} \cdot 3^{22} \cdot 13^{9}$ x8 - 2x7 + 4x6 - 18x5 + 42x4 - 66x3 + 48x2 - 18x - 3 $S_4\wr C_2$ $1$ $0$
18.928...504.36t1758.a.a $18$ $ 2^{36} \cdot 3^{38}$ x8 - 4x7 + 10x6 - 14x5 + 14x4 - 8x3 + 7x2 - 4x + 1 $S_4\wr C_2$ $1$ $0$
18.928...504.36t1758.b.a $18$ $ 2^{36} \cdot 3^{38}$ x8 - 8x5 + 18x4 - 24x3 + 40x2 - 3 $S_4\wr C_2$ $1$ $0$
18.169...776.36t1758.a.a $18$ $ 2^{24} \cdot 3^{22} \cdot 19^{9}$ x8 - 2x7 + 4x6 - 16x5 + 29x4 - 34x3 + 34x2 - 20x + 7 $S_4\wr C_2$ $1$ $0$
18.192...048.36t1758.a.a $18$ $ 2^{64} \cdot 3^{21}$ x8 - 4x7 + 4x6 - 12x5 + 24x4 - 36x3 + 24x2 - 12x + 3 $S_4\wr C_2$ $1$ $0$
18.289...072.36t1758.a.a $18$ $ 2^{63} \cdot 3^{22}$ x8 - 4x7 + 10x6 - 16x5 + 13x4 + 8x3 - 14x2 - 4x + 1 $S_4\wr C_2$ $1$ $-2$
18.341...000.36t1758.a.a $18$ $ 2^{36} \cdot 3^{26} \cdot 5^{9}$ x8 - 4x7 + 10x6 - 14x5 + 14x4 - 8x3 - x2 + 4x - 1 $S_4\wr C_2$ $1$ $0$
18.417...696.36t1758.a.a $18$ $ 2^{39} \cdot 97^{9}$ x8 - 6x6 - 4x5 + 10x4 - 12x3 - 10x2 + 16x + 7 $S_4\wr C_2$ $1$ $-2$
18.496...256.36t1758.a.a $18$ $ 2^{12} \cdot 7^{9} \cdot 113^{9}$ x8 - 2x7 + 3x6 - 4x5 + 14x4 - 13x3 + 12x2 - 11x + 2 $S_4\wr C_2$ $1$ $0$
18.497...000.36t1758.a.a $18$ $ 2^{34} \cdot 5^{12} \cdot 17^{9}$ x8 + x6 - 4x5 - 11x4 - 2x3 + 26x2 + 14x - 26 $S_4\wr C_2$ $1$ $0$
18.971...000.36t1758.a.a $18$ $ 2^{28} \cdot 3^{32} \cdot 5^{9}$ x8 + 3x6 - 2x5 + 12x3 - 13x2 + 6x + 9 $S_4\wr C_2$ $1$ $0$
18.108...024.36t1758.a.a $18$ $ 2^{33} \cdot 7^{9} \cdot 11^{12}$ x8 - 12x5 - 30x4 + 32x3 + 28x2 - 12x + 1 $S_4\wr C_2$ $1$ $0$
18.115...288.36t1758.b.a $18$ $ 2^{65} \cdot 3^{22}$ x8 - 6x6 - 4x5 + 12x4 - 14x2 + 12x - 3 $S_4\wr C_2$ $1$ $-2$
18.115...288.36t1758.c.a $18$ $ 2^{65} \cdot 3^{22}$ x8 - 12x6 - 16x5 + 6x4 + 96x3 + 136x2 + 144x + 54 $S_4\wr C_2$ $1$ $-2$
18.115...288.36t1758.a.a $18$ $ 2^{65} \cdot 3^{22}$ x8 - 16x5 + 6x4 - 32x2 + 3 $S_4\wr C_2$ $1$ $-2$
18.128...759.36t1758.a.a $18$ $ 3^{22} \cdot 151^{9}$ x8 - 6x6 - x5 + 24x4 + 3x3 - 41x2 + 27 $S_4\wr C_2$ $1$ $0$
18.128...000.36t1758.a.a $18$ $ 2^{28} \cdot 3^{22} \cdot 5^{16}$ x8 - 2x7 - 2x6 - 4x5 - 10x4 + 86x3 + 88x2 + 208x + 61 $S_4\wr C_2$ $1$ $0$
18.146...552.36t1758.a.a $18$ $ 2^{59} \cdot 3^{26}$ x8 - 4x7 + 2x6 + 4x5 - 7x4 - 4x3 + 14x2 - 8x + 1 $S_4\wr C_2$ $1$ $0$
18.148...064.36t1758.a.a $18$ $ 2^{40} \cdot 3^{38}$ x8 - 4x7 + 4x6 + 21x4 - 84x3 + 132x2 - 96x + 24 $S_4\wr C_2$ $1$ $0$
18.148...064.36t1758.b.a $18$ $ 2^{40} \cdot 3^{38}$ x8 - 4x7 - 2x6 + 16x5 - 28x4 + 28x3 - 20x2 + 8x - 2 $S_4\wr C_2$ $1$ $0$
18.157...184.36t1758.a.a $18$ $ 2^{39} \cdot 17^{15}$ x8 - 3x7 + 2x6 + x5 - 2x4 + 3x3 + 3x - 13 $S_4\wr C_2$ $1$ $0$
18.159...128.36t1758.a.a $18$ $ 2^{32} \cdot 193^{9}$ x8 - 4x6 - 8x5 + 13x4 + 16x3 - 2x2 - 36x - 28 $S_4\wr C_2$ $1$ $0$
18.165...119.36t1758.a.a $18$ $ 43^{9} \cdot 53^{9}$ x8 - 3x7 + 5x5 - 4x3 + 4x2 - 5x + 1 $S_4\wr C_2$ $1$ $0$
18.215...000.36t1758.a.a $18$ $ 2^{45} \cdot 3^{22} \cdot 5^{9}$ x8 - 4x7 + 4x6 - 24 $S_4\wr C_2$ $1$ $0$
18.223...896.36t1758.a.a $18$ $ 2^{24} \cdot 7^{9} \cdot 53^{9}$ x8 - 4x7 + 8x5 + 13x4 - 18x3 - 18x2 + 7 $S_4\wr C_2$ $1$ $0$
18.241...528.36t1758.a.a $18$ $ 2^{12} \cdot 23^{9} \cdot 41^{9}$ x8 - x7 - 2x6 - 8x5 + 22x4 + 25x3 + 36x2 + 23 $S_4\wr C_2$ $1$ $0$
18.262...000.36t1758.a.a $18$ $ 2^{51} \cdot 3^{14} \cdot 5^{12}$ x8 - 2x6 - 12x5 + 6x4 + 48x3 - 32x2 + 16 $S_4\wr C_2$ $1$ $0$
18.321...000.36t1758.a.a $18$ $ 2^{27} \cdot 3^{22} \cdot 5^{17}$ x8 - 4x7 + 4x6 - 2x5 - x4 - 14x3 + 19x2 - 16x - 2 $S_4\wr C_2$ $1$ $0$
18.327...125.36t1758.a.a $18$ $ 3^{14} \cdot 5^{9} \cdot 89^{9}$ x8 - 3x7 + x6 + 12x5 - 33x4 + 45x3 + 16x2 - 180x + 145 $S_4\wr C_2$ $1$ $-2$
18.376...000.36t1758.a.a $18$ $ 2^{18} \cdot 5^{12} \cdot 73^{9}$ x8 - x7 - 4x6 - 13x5 - 6x4 - 13x3 + 41x2 + 28x + 38 $S_4\wr C_2$ $1$ $0$
18.417...568.36t1758.a.a $18$ $ 2^{51} \cdot 3^{32}$ x8 - 4x7 + 8x6 - 8x5 - x4 + 20x3 - 28x2 + 16x - 2 $S_4\wr C_2$ $1$ $0$
18.463...152.36t1758.a.a $18$ $ 2^{67} \cdot 3^{22}$ x8 - 12x6 - 8x5 + 36x4 + 48x3 + 16x2 - 6 $S_4\wr C_2$ $1$ $-2$
18.505...984.36t1758.a.a $18$ $ 2^{28} \cdot 3^{21} \cdot 23^{9}$ x8 - 2x7 + 4x6 - 4x5 + 2x4 + 2x3 - 2x2 + 4x + 1 $S_4\wr C_2$ $1$ $0$
18.508...784.36t1758.a.a $18$ $ 2^{36} \cdot 3^{22} \cdot 11^{9}$ x8 + 3x6 - 14x5 - 18x4 + 12x3 + 31x2 + 18x + 3 $S_4\wr C_2$ $1$ $-2$
18.540...376.36t1758.a.a $18$ $ 2^{12} \cdot 3^{22} \cdot 19^{13}$ x8 - 3x6 - 19x5 - 18x4 + 28x2 - 48 $S_4\wr C_2$ $1$ $0$
18.545...000.36t1758.a.a $18$ $ 2^{40} \cdot 3^{26} \cdot 5^{9}$ x8 - 4x7 + 10x6 - 16x5 + 28x4 - 28x3 + 20x2 - 8x + 2 $S_4\wr C_2$ $1$ $0$
18.545...000.36t1758.b.a $18$ $ 2^{40} \cdot 3^{26} \cdot 5^{9}$ x8 - 2x7 + 5x6 + 2x5 - x4 + 16x3 - 4x2 + 8x + 4 $S_4\wr C_2$ $1$ $0$
18.556...424.36t1758.a.a $18$ $ 2^{53} \cdot 3^{31}$ x8 - 2x7 + 4x6 - 8x5 + 7x4 - 14x3 + 4x2 - 8x - 2 $S_4\wr C_2$ $1$ $0$
18.556...424.36t1758.b.a $18$ $ 2^{53} \cdot 3^{31}$ x8 - 6x6 - 4x5 - 6x4 - 24x3 + 10x2 + 12x + 9 $S_4\wr C_2$ $1$ $0$
18.579...179.36t1758.a.a $18$ $ 3^{27} \cdot 97^{9}$ x8 - 7x6 - 2x5 + 8x4 + 7x3 + 28x2 - 20x + 3 $S_4\wr C_2$ $1$ $0$
18.586...208.36t1758.a.a $18$ $ 2^{61} \cdot 3^{26}$ x8 - 4x7 + 10x6 - 12x5 + 9x4 - 8x2 + 8x - 2 $S_4\wr C_2$ $1$ $0$
18.641...927.36t1758.a.a $18$ $ 3^{38} \cdot 7^{15}$ x8 - 3x7 + 8x5 - 3x4 - 33x3 + 79x2 - 81x + 39 $S_4\wr C_2$ $1$ $0$
18.747...000.36t1758.a.a $18$ $ 2^{12} \cdot 3^{9} \cdot 5^{12} \cdot 11^{14}$ x8 - 3x7 - 4x6 + 9x5 + 11x4 + 3x3 - 2x2 + 3x - 2 $S_4\wr C_2$ $1$ $0$
18.830...552.36t1758.a.a $18$ $ 2^{62} \cdot 23^{9}$ x8 - 6x6 - 20x5 + 23x4 + 28x3 + 8x2 - 2 $S_4\wr C_2$ $1$ $-2$
18.831...000.36t1758.a.a $18$ $ 2^{59} \cdot 3^{10} \cdot 5^{12}$ x8 - 2x6 + x4 - 8x3 - 14x2 - 8x - 1 $S_4\wr C_2$ $1$ $0$
18.835...000.36t1758.a.a $18$ $ 2^{16} \cdot 5^{15} \cdot 11^{15}$ x8 - 2x7 - 4x6 + 8x5 + 10x4 - 8x3 - 9x2 - 8x + 1 $S_4\wr C_2$ $1$ $0$
18.934...576.36t1758.a.a $18$ $ 2^{39} \cdot 137^{9}$ x8 - 8x6 - 8x5 + 27x4 + 32x3 - 28x2 - 44x - 4 $S_4\wr C_2$ $1$ $0$
18.105...000.36t1758.a.a $18$ $ 2^{53} \cdot 3^{14} \cdot 5^{12}$ x8 + 15x4 - 36x3 + 54x2 - 36x + 18 $S_4\wr C_2$ $1$ $0$
18.114...592.36t1758.a.a $18$ $ 2^{12} \cdot 3^{14} \cdot 7^{9} \cdot 29^{9}$ x8 - x7 + 5x6 - 4x5 + 10x4 + 10x3 - 4x2 + 4x + 4 $S_4\wr C_2$ $1$ $0$
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