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Dimension Conductor Group Root number Parity
Smallest permutation Ramified Unramified primes Ramified prime count Frobenius-Schur
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Results (1-50 of 910 matches)

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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Artin stem field $G$ Ind $\chi(c)$
3.3136.4t4.a.a $3$ $ 2^{6} \cdot 7^{2}$ 4.0.3136.1 $A_4$ $1$ $-1$
3.4225.4t4.a.a $3$ $ 5^{2} \cdot 13^{2}$ 4.0.4225.1 $A_4$ $1$ $-1$
3.5184.4t4.b.a $3$ $ 2^{6} \cdot 3^{4}$ 4.0.5184.1 $A_4$ $1$ $-1$
3.8281.4t4.b.a $3$ $ 7^{2} \cdot 13^{2}$ 4.0.8281.1 $A_4$ $1$ $-1$
3.10816.4t4.b.a $3$ $ 2^{6} \cdot 13^{2}$ 4.0.10816.1 $A_4$ $1$ $-1$
3.15376.4t4.a.a $3$ $ 2^{4} \cdot 31^{2}$ 4.0.15376.1 $A_4$ $1$ $-1$
3.17689.4t4.b.a $3$ $ 7^{2} \cdot 19^{2}$ 4.0.17689.1 $A_4$ $1$ $-1$
3.23104.4t4.b.a $3$ $ 2^{6} \cdot 19^{2}$ 4.0.23104.1 $A_4$ $1$ $-1$
3.23409.4t4.b.a $3$ $ 3^{4} \cdot 17^{2}$ 4.0.23409.1 $A_4$ $1$ $-1$
3.26569.4t4.a.a $3$ $ 163^{2}$ 4.4.26569.1 $A_4$ $1$ $3$
3.29241.4t4.b.a $3$ $ 3^{4} \cdot 19^{2}$ 4.0.29241.1 $A_4$ $1$ $-1$
3.29584.4t4.a.a $3$ $ 2^{4} \cdot 43^{2}$ 4.0.29584.1 $A_4$ $1$ $-1$
3.33489.4t4.a.a $3$ $ 3^{2} \cdot 61^{2}$ 4.4.33489.1 $A_4$ $1$ $3$
3.40401.4t4.a.a $3$ $ 3^{2} \cdot 67^{2}$ 4.0.40401.1 $A_4$ $1$ $-1$
3.41209.4t4.a.a $3$ $ 7^{2} \cdot 29^{2}$ 4.0.41209.1 $A_4$ $1$ $-1$
3.43681.4t4.b.a $3$ $ 11^{2} \cdot 19^{2}$ 4.0.43681.1 $A_4$ $1$ $-1$
3.47961.4t4.a.a $3$ $ 3^{2} \cdot 73^{2}$ 4.0.47961.1 $A_4$ $1$ $-1$
3.61504.4t4.a.a $3$ $ 2^{6} \cdot 31^{2}$ 4.4.61504.1 $A_4$ $1$ $3$
3.61504.4t4.b.a $3$ $ 2^{6} \cdot 31^{2}$ 4.0.61504.1 $A_4$ $1$ $-1$
3.63504.4t4.a.a $3$ $ 2^{4} \cdot 3^{4} \cdot 7^{2}$ 4.0.63504.1 $A_4$ $1$ $-1$
3.74529.4t4.a.a $3$ $ 3^{2} \cdot 7^{2} \cdot 13^{2}$ 4.0.74529.1 $A_4$ $1$ $-1$
3.76729.4t4.a.a $3$ $ 277^{2}$ 4.4.76729.1 $A_4$ $1$ $3$
3.82369.4t4.a.a $3$ $ 7^{2} \cdot 41^{2}$ 4.0.82369.1 $A_4$ $1$ $-1$
3.87616.4t4.a.a $3$ $ 2^{6} \cdot 37^{2}$ 4.0.87616.1 $A_4$ $1$ $-1$
3.90601.4t4.a.a $3$ $ 7^{2} \cdot 43^{2}$ 4.0.90601.1 $A_4$ $1$ $-1$
3.95481.4t4.a.a $3$ $ 3^{2} \cdot 103^{2}$ 4.0.95481.1 $A_4$ $1$ $-1$
3.99225.4t4.a.a $3$ $ 3^{4} \cdot 5^{2} \cdot 7^{2}$ 4.0.99225.1 $A_4$ $1$ $-1$
3.110889.4t4.a.a $3$ $ 3^{4} \cdot 37^{2}$ 4.0.110889.1 $A_4$ $1$ $-1$
3.112225.4t4.a.a $3$ $ 5^{2} \cdot 67^{2}$ 4.0.112225.1 $A_4$ $1$ $-1$
3.118336.4t4.a.a $3$ $ 2^{6} \cdot 43^{2}$ 4.0.118336.1 $A_4$ $1$ $-1$
3.118336.4t4.b.a $3$ $ 2^{6} \cdot 43^{2}$ 4.0.118336.2 $A_4$ $1$ $-1$
3.121801.4t4.a.a $3$ $ 349^{2}$ 4.4.121801.1 $A_4$ $1$ $3$
3.132496.4t4.a.a $3$ $ 2^{4} \cdot 7^{2} \cdot 13^{2}$ 4.0.132496.1 $A_4$ $1$ $-1$
3.157609.4t4.a.a $3$ $ 397^{2}$ 4.4.157609.1 $A_4$ $1$ $3$
3.159201.4t4.a.a $3$ $ 3^{2} \cdot 7^{2} \cdot 19^{2}$ 4.0.159201.1 $A_4$ $1$ $-1$
3.162409.4t4.a.a $3$ $ 13^{2} \cdot 31^{2}$ 4.0.162409.1 $A_4$ $1$ $-1$
3.165649.4t4.a.a $3$ $ 11^{2} \cdot 37^{2}$ 4.4.165649.1 $A_4$ $1$ $3$
3.190096.4t4.a.a $3$ $ 2^{4} \cdot 109^{2}$ 4.0.190096.1 $A_4$ $1$ $-1$
3.205209.4t4.a.a $3$ $ 3^{2} \cdot 151^{2}$ 4.0.205209.1 $A_4$ $1$ $-1$
3.219024.4t4.a.a $3$ $ 2^{4} \cdot 3^{4} \cdot 13^{2}$ 4.0.219024.1 $A_4$ $1$ $-1$
3.223729.4t4.a.a $3$ $ 11^{2} \cdot 43^{2}$ 4.4.223729.1 $A_4$ $1$ $3$
3.227529.4t4.a.a $3$ $ 3^{4} \cdot 53^{2}$ 4.0.227529.1 $A_4$ $1$ $-1$
3.238144.4t4.a.a $3$ $ 2^{6} \cdot 61^{2}$ 4.0.238144.1 $A_4$ $1$ $-1$
3.246016.4t4.a.a $3$ $ 2^{8} \cdot 31^{2}$ 4.0.246016.2 $A_4$ $1$ $-1$
3.246016.4t4.b.a $3$ $ 2^{8} \cdot 31^{2}$ 4.0.246016.1 $A_4$ $1$ $-1$
3.247009.4t4.a.a $3$ $ 7^{2} \cdot 71^{2}$ 4.0.247009.1 $A_4$ $1$ $-1$
3.254016.4t4.a.a $3$ $ 2^{6} \cdot 3^{4} \cdot 7^{2}$ 4.0.254016.2 $A_4$ $1$ $-1$
3.254016.4t4.b.a $3$ $ 2^{6} \cdot 3^{4} \cdot 7^{2}$ 4.0.254016.1 $A_4$ $1$ $-1$
3.254016.4t4.c.a $3$ $ 2^{6} \cdot 3^{4} \cdot 7^{2}$ 4.0.254016.3 $A_4$ $1$ $-1$
3.258064.4t4.a.a $3$ $ 2^{4} \cdot 127^{2}$ 4.0.258064.1 $A_4$ $1$ $-1$
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