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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
3.3136.4t4.a.a $3$ $ 2^{6} \cdot 7^{2}$ x4 - 2x3 + 2x2 + 2 $A_4$ $1$ $-1$
3.4225.4t4.a.a $3$ $ 5^{2} \cdot 13^{2}$ x4 - x3 - 3x + 4 $A_4$ $1$ $-1$
3.5184.4t4.b.a $3$ $ 2^{6} \cdot 3^{4}$ x4 - 2x3 + 6x2 - 4x + 2 $A_4$ $1$ $-1$
3.8281.4t4.b.a $3$ $ 7^{2} \cdot 13^{2}$ x4 - x3 + 5x2 - 4x + 3 $A_4$ $1$ $-1$
3.10816.4t4.b.a $3$ $ 2^{6} \cdot 13^{2}$ x4 - 2x3 + 2x2 + 4x + 2 $A_4$ $1$ $-1$
3.15376.4t4.a.a $3$ $ 2^{4} \cdot 31^{2}$ x4 + 7x2 - 2x + 14 $A_4$ $1$ $-1$
3.17689.4t4.b.a $3$ $ 7^{2} \cdot 19^{2}$ x4 + 3x2 - 7x + 4 $A_4$ $1$ $-1$
3.23104.4t4.b.a $3$ $ 2^{6} \cdot 19^{2}$ x4 - 2x3 + 10x2 - 8x + 2 $A_4$ $1$ $-1$
3.23409.4t4.b.a $3$ $ 3^{4} \cdot 17^{2}$ x4 - x3 + 6x2 - 5x + 8 $A_4$ $1$ $-1$
3.26569.4t4.a.a $3$ $ 163^{2}$ x4 - x3 - 7x2 + 2x + 9 $A_4$ $1$ $3$
3.29241.4t4.b.a $3$ $ 3^{4} \cdot 19^{2}$ x4 - x3 + 3x2 + x + 20 $A_4$ $1$ $-1$
3.29584.4t4.a.a $3$ $ 2^{4} \cdot 43^{2}$ x4 - 2x3 + 2x2 + 10x + 9 $A_4$ $1$ $-1$
3.33489.4t4.a.a $3$ $ 3^{2} \cdot 61^{2}$ x4 - 7x2 - 3x + 1 $A_4$ $1$ $3$
3.40401.4t4.a.a $3$ $ 3^{2} \cdot 67^{2}$ x4 - x3 + 4x2 - 12x + 24 $A_4$ $1$ $-1$
3.41209.4t4.a.a $3$ $ 7^{2} \cdot 29^{2}$ x4 - x3 + 5x2 - 6x + 7 $A_4$ $1$ $-1$
3.43681.4t4.b.a $3$ $ 11^{2} \cdot 19^{2}$ x4 - x3 - 9x2 + 6x + 25 $A_4$ $1$ $-1$
3.47961.4t4.a.a $3$ $ 3^{2} \cdot 73^{2}$ x4 - x3 - 2x2 + 24 $A_4$ $1$ $-1$
3.61504.4t4.a.a $3$ $ 2^{6} \cdot 31^{2}$ x4 - 2x3 - 7x2 + 6x + 11 $A_4$ $1$ $3$
3.61504.4t4.b.a $3$ $ 2^{6} \cdot 31^{2}$ x4 - 6x2 - 8x + 28 $A_4$ $1$ $-1$
3.63504.4t4.a.a $3$ $ 2^{4} \cdot 3^{4} \cdot 7^{2}$ x4 - 2x3 + 6x2 - 4x + 20 $A_4$ $1$ $-1$
3.74529.4t4.a.a $3$ $ 3^{2} \cdot 7^{2} \cdot 13^{2}$ x4 - x3 + 7x2 + 9x + 24 $A_4$ $1$ $-1$
3.76729.4t4.a.a $3$ $ 277^{2}$ x4 - x3 - 11x2 + 4x + 12 $A_4$ $1$ $3$
3.82369.4t4.a.a $3$ $ 7^{2} \cdot 41^{2}$ x4 - x3 + 4x2 - 7x + 8 $A_4$ $1$ $-1$
3.87616.4t4.a.a $3$ $ 2^{6} \cdot 37^{2}$ x4 - 8x2 - 8x + 44 $A_4$ $1$ $-1$
3.90601.4t4.a.a $3$ $ 7^{2} \cdot 43^{2}$ x4 - x3 - 7x2 + 9x + 38 $A_4$ $1$ $-1$
3.95481.4t4.a.a $3$ $ 3^{2} \cdot 103^{2}$ x4 + 13x2 - 3x + 46 $A_4$ $1$ $-1$
3.99225.4t4.a.a $3$ $ 3^{4} \cdot 5^{2} \cdot 7^{2}$ x4 - x3 + 7x + 14 $A_4$ $1$ $-1$
3.110889.4t4.a.a $3$ $ 3^{4} \cdot 37^{2}$ x4 - x3 + 6x2 + 11x + 10 $A_4$ $1$ $-1$
3.112225.4t4.a.a $3$ $ 5^{2} \cdot 67^{2}$ x4 + 11x2 - 5x + 29 $A_4$ $1$ $-1$
3.118336.4t4.b.a $3$ $ 2^{6} \cdot 43^{2}$ x4 - 6x2 - 8x + 40 $A_4$ $1$ $-1$
3.118336.4t4.a.a $3$ $ 2^{6} \cdot 43^{2}$ x4 - 2x3 + 9x2 - 6x + 7 $A_4$ $1$ $-1$
3.121801.4t4.a.a $3$ $ 349^{2}$ x4 - x3 - 10x2 + 3x + 20 $A_4$ $1$ $3$
3.132496.4t4.a.a $3$ $ 2^{4} \cdot 7^{2} \cdot 13^{2}$ x4 - 2x3 + 14x2 - 12x + 20 $A_4$ $1$ $-1$
3.157609.4t4.a.a $3$ $ 397^{2}$ x4 - 13x2 - 2x + 19 $A_4$ $1$ $3$
3.159201.4t4.a.a $3$ $ 3^{2} \cdot 7^{2} \cdot 19^{2}$ x4 - 2x3 + 7x2 + 21x + 63 $A_4$ $1$ $-1$
3.162409.4t4.a.a $3$ $ 13^{2} \cdot 31^{2}$ x4 - x3 - 6x2 + 7x + 18 $A_4$ $1$ $-1$
3.165649.4t4.a.a $3$ $ 11^{2} \cdot 37^{2}$ x4 - 2x3 - 9x2 - x + 3 $A_4$ $1$ $3$
3.190096.4t4.a.a $3$ $ 2^{4} \cdot 109^{2}$ x4 - 2x3 + 5x2 + 4x + 5 $A_4$ $1$ $-1$
3.205209.4t4.a.a $3$ $ 3^{2} \cdot 151^{2}$ x4 - x3 + 4x2 - 3x + 12 $A_4$ $1$ $-1$
3.219024.4t4.a.a $3$ $ 2^{4} \cdot 3^{4} \cdot 13^{2}$ x4 - 2x3 + 3x2 + 6x + 6 $A_4$ $1$ $-1$
3.223729.4t4.a.a $3$ $ 11^{2} \cdot 43^{2}$ x4 - x3 - 16x2 - 7x + 27 $A_4$ $1$ $3$
3.227529.4t4.a.a $3$ $ 3^{4} \cdot 53^{2}$ x4 - x3 + 3x2 - 8x + 11 $A_4$ $1$ $-1$
3.238144.4t4.a.a $3$ $ 2^{6} \cdot 61^{2}$ x4 - 2x3 + 14x2 - 4x + 6 $A_4$ $1$ $-1$
3.246016.4t4.b.a $3$ $ 2^{8} \cdot 31^{2}$ x4 + 2x2 - 4x + 10 $A_4$ $1$ $-1$
3.246016.4t4.a.a $3$ $ 2^{8} \cdot 31^{2}$ x4 + 10x2 - 4x + 2 $A_4$ $1$ $-1$
3.247009.4t4.a.a $3$ $ 7^{2} \cdot 71^{2}$ x4 - x3 + 9x + 10 $A_4$ $1$ $-1$
3.254016.4t4.a.a $3$ $ 2^{6} \cdot 3^{4} \cdot 7^{2}$ x4 - 6x2 - 8x + 60 $A_4$ $1$ $-1$
3.254016.4t4.b.a $3$ $ 2^{6} \cdot 3^{4} \cdot 7^{2}$ x4 - 12x2 - 8x + 72 $A_4$ $1$ $-1$
3.254016.4t4.c.a $3$ $ 2^{6} \cdot 3^{4} \cdot 7^{2}$ x4 + 18x2 - 8x + 120 $A_4$ $1$ $-1$
3.258064.4t4.a.a $3$ $ 2^{4} \cdot 127^{2}$ x4 - 2x3 + 10x2 - 4x + 36 $A_4$ $1$ $-1$
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