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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
5.287296.6t15.a.a $5$ $ 2^{6} \cdot 67^{2}$ x6 - 2x4 + x2 - 2x - 1 $A_6$ $1$ $1$
5.613089.6t15.b.a $5$ $ 3^{6} \cdot 29^{2}$ x6 - 3x3 - 3x + 4 $A_6$ $1$ $1$
5.700569.6t15.a.a $5$ $ 3^{6} \cdot 31^{2}$ x6 - x3 - 3x2 - 1 $A_6$ $1$ $1$
5.1087849.6t15.a.a $5$ $ 7^{2} \cdot 149^{2}$ x6 - x5 + 2x4 - 3x2 + 2x - 4 $A_6$ $1$ $1$
5.1108809.6t15.a.a $5$ $ 3^{8} \cdot 13^{2}$ x6 - 3x5 + 3x4 - 3x2 + 3x + 2 $A_6$ $1$ $1$
5.1658944.6t15.a.a $5$ $ 2^{6} \cdot 7^{2} \cdot 23^{2}$ x6 - 3x5 + 5x4 - 8x2 + 4x + 4 $A_6$ $1$ $1$
5.1679616.6t15.a.a $5$ $ 2^{8} \cdot 3^{8}$ x6 - 3x5 + 3x4 - 6x2 + 6x - 2 $A_6$ $1$ $1$
5.1971216.6t15.b.a $5$ $ 2^{4} \cdot 3^{6} \cdot 13^{2}$ x6 - 3x5 + 3x4 - 2 $A_6$ $1$ $1$
5.3013696.6t15.a.a $5$ $ 2^{6} \cdot 7^{2} \cdot 31^{2}$ x6 - 2x5 + x4 - 2x3 - x2 + 6x - 1 $A_6$ $1$ $1$
5.6718464.6t15.a.a $5$ $ 2^{10} \cdot 3^{8}$ x6 - 3x5 + 3x4 - 6x2 + 6x - 2 $A_6$ $1$ $1$
5.7884864.6t15.b.a $5$ $ 2^{6} \cdot 3^{6} \cdot 13^{2}$ x6 - 3x5 + 3x4 - 2 $A_6$ $1$ $1$
5.15752961.6t15.b.a $5$ $ 3^{8} \cdot 7^{4}$ x6 - 3x5 + 3x4 + 9x3 - 18x2 - 9x + 18 $A_6$ $1$ $1$
5.22024249.6t15.a.a $5$ $ 13^{2} \cdot 19^{4}$ x6 - 4x4 - 15x3 - 15x2 - 8x + 4 $A_6$ $1$ $1$
5.22325625.6t15.a.a $5$ $ 3^{6} \cdot 5^{4} \cdot 7^{2}$ x6 + 3x4 - 12x2 - 15x + 16 $A_6$ $1$ $1$
5.26873856.6t15.a.a $5$ $ 2^{12} \cdot 3^{8}$ x6 + 6x4 - 4x3 - 3x2 - 12x - 12 $A_6$ $1$ $1$
5.26873856.6t15.b.a $5$ $ 2^{12} \cdot 3^{8}$ x6 - 8x3 + 9x2 - 6 $A_6$ $1$ $1$
5.36917776.6t15.a.a $5$ $ 2^{4} \cdot 7^{4} \cdot 31^{2}$ x6 - 2x5 + x4 - 2x3 - x2 + 6x - 1 $A_6$ $1$ $1$
5.43758225.6t15.a.a $5$ $ 3^{6} \cdot 5^{2} \cdot 7^{4}$ x6 + 3x4 - 12x2 - 15x + 16 $A_6$ $1$ $1$
5.53304601.6t15.a.a $5$ $ 7^{4} \cdot 149^{2}$ x6 - x5 + 2x4 - 3x2 + 2x - 4 $A_6$ $1$ $1$
5.71639296.6t15.b.a $5$ $ 2^{8} \cdot 23^{4}$ x6 - x5 + x4 + 4x3 - 6x2 + 2x + 2 $A_6$ $1$ $1$
5.81288256.6t15.a.a $5$ $ 2^{6} \cdot 7^{4} \cdot 23^{2}$ x6 - 3x5 + 5x4 - 8x2 + 4x + 4 $A_6$ $1$ $1$
5.95004009.6t15.a.a $5$ $ 3^{6} \cdot 19^{4}$ x6 - 3x5 - 3x4 + 8x3 + 9x2 - 9x + 6 $A_6$ $1$ $1$
5.107495424.6t15.a.a $5$ $ 2^{14} \cdot 3^{8}$ x6 - 12x3 + 21x2 + 12x - 34 $A_6$ $1$ $1$
5.112890625.6t15.a.a $5$ $ 5^{8} \cdot 17^{2}$ x6 - 2x5 + 5x2 - 11x - 13 $A_6$ $1$ $1$
5.112890625.6t15.b.a $5$ $ 5^{8} \cdot 17^{2}$ x6 - 2x5 + 5x2 - 11x - 13 $A_6$ $1$ $1$
5.141776649.6t15.b.a $5$ $ 3^{10} \cdot 7^{4}$ x6 - 3x5 + 3x4 + 9x3 - 18x2 - 9x + 18 $A_6$ $1$ $1$
5.170067681.6t15.a.a $5$ $ 3^{8} \cdot 7^{2} \cdot 23^{2}$ x6 - 3x5 - 9x4 + 14x3 + 27x2 - 3x - 10 $A_6$ $1$ $5$
5.192293689.6t15.a.a $5$ $ 7^{4} \cdot 283^{2}$ x6 - x5 - 12x4 + 7x3 + 21x2 - 7x - 7 $A_6$ $1$ $5$
5.241864704.6t15.a.a $5$ $ 2^{12} \cdot 3^{10}$ x6 + 6x4 - 4x3 - 3x2 - 12x - 12 $A_6$ $1$ $1$
5.241864704.6t15.b.a $5$ $ 2^{12} \cdot 3^{10}$ x6 - 8x3 + 9x2 - 6 $A_6$ $1$ $1$
5.284765625.6t15.b.a $5$ $ 3^{6} \cdot 5^{8}$ x6 - 5x3 + 45x2 - 99x - 15 $A_6$ $1$ $1$
5.286557184.6t15.b.a $5$ $ 2^{10} \cdot 23^{4}$ x6 - x5 + x4 + 4x3 - 6x2 + 2x + 2 $A_6$ $1$ $1$
5.515607849.6t15.b.a $5$ $ 3^{6} \cdot 29^{4}$ x6 - 3x3 - 3x + 4 $A_6$ $1$ $1$
5.673246809.6t15.a.a $5$ $ 3^{6} \cdot 31^{4}$ x6 - x3 - 3x2 - 1 $A_6$ $1$ $1$
5.967458816.6t15.a.a $5$ $ 2^{14} \cdot 3^{10}$ x6 - 12x3 + 21x2 + 12x - 34 $A_6$ $1$ $1$
5.1289671744.6t15.a.a $5$ $ 2^{6} \cdot 67^{4}$ x6 - 2x4 + x2 - 2x - 1 $A_6$ $1$ $1$
5.1686498489.6t15.a.a $5$ $ 3^{10} \cdot 13^{4}$ x6 - 3x5 + 3x4 - 3x2 + 3x + 2 $A_6$ $1$ $1$
5.2562890625.6t15.b.a $5$ $ 3^{8} \cdot 5^{8}$ x6 - 3x5 + 15x4 - 25x3 - 45x + 60 $A_6$ $1$ $1$
5.3722098081.6t15.a.a $5$ $ 13^{4} \cdot 19^{4}$ x6 - 4x4 - 15x3 - 15x2 - 8x + 4 $A_6$ $1$ $1$
5.6400000000.6t15.a.a $5$ $ 2^{14} \cdot 5^{8}$ x6 - 2x5 + 15x4 + 50x2 - 4x - 82 $A_6$ $1$ $1$
5.6400000000.6t15.b.a $5$ $ 2^{14} \cdot 5^{8}$ x6 - 2x5 + 15x4 + 50x2 - 4x - 82 $A_6$ $1$ $1$
5.7695324729.6t15.a.a $5$ $ 3^{10} \cdot 19^{4}$ x6 - 3x5 - 3x4 + 8x3 + 9x2 - 9x + 6 $A_6$ $1$ $1$
5.23066015625.6t15.c.a $5$ $ 3^{10} \cdot 5^{8}$ x6 - 5x3 + 45x2 - 99x - 15 $A_6$ $1$ $1$
5.23066015625.6t15.d.a $5$ $ 3^{10} \cdot 5^{8}$ x6 - 3x5 + 15x4 - 25x3 - 45x + 60 $A_6$ $1$ $1$
5.4408324359201.6t15.a.a $5$ $ 3^{8} \cdot 7^{4} \cdot 23^{4}$ x6 - 3x5 - 9x4 + 14x3 + 27x2 - 3x - 10 $A_6$ $1$ $5$
5.15400609258321.6t15.a.a $5$ $ 7^{4} \cdot 283^{4}$ x6 - x5 - 12x4 + 7x3 + 21x2 - 7x - 7 $A_6$ $1$ $5$
8.11284439629824.36t555.a.a 8.11284439629824.36t555.a.b $8$ $ 2^{18} \cdot 3^{16}$ x6 - 3x5 + 3x4 - 6x2 + 6x - 2 $A_6$ $1$ $0$
8.15542770074624.36t555.b.a 8.15542770074624.36t555.b.b $8$ $ 2^{10} \cdot 3^{12} \cdot 13^{4}$ x6 - 3x5 + 3x4 - 2 $A_6$ $1$ $0$
8.20390869140625.36t555.a.a 8.20390869140625.36t555.a.b $8$ $ 5^{12} \cdot 17^{4}$ x6 - 2x5 + 5x2 - 11x - 13 $A_6$ $1$ $0$
8.38806720086016.36t555.b.a 8.38806720086016.36t555.b.b $8$ $ 2^{18} \cdot 23^{6}$ x6 - x5 + x4 + 4x3 - 6x2 + 2x + 2 $A_6$ $1$ $0$
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