## Results (displaying matches 1-50 of at least 1000) Next

Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
3.18496.12t33.a.a 3.18496.12t33.a.b $3$ $2^{6} \cdot 17^{2}$ x5 - x4 + 2x2 - 2x + 2 $A_5$ $1$ $-1$
3.23104.12t33.a.a 3.23104.12t33.a.b $3$ $2^{6} \cdot 19^{2}$ x5 - x4 + 8x3 - 32x2 + 45x - 17 $A_5$ $1$ $-1$
3.29241.12t33.d.a 3.29241.12t33.d.b $3$ $3^{4} \cdot 19^{2}$ x5 - 19x2 + 57 $A_5$ $1$ $-1$
3.29241.12t33.c.a 3.29241.12t33.c.b $3$ $3^{4} \cdot 19^{2}$ x5 - 2x4 + 13x3 - 9x2 + 36x - 12 $A_5$ $1$ $-1$
3.36100.12t33.a.a 3.36100.12t33.a.b $3$ $2^{2} \cdot 5^{2} \cdot 19^{2}$ x5 - x4 - 11x3 + 6x2 + 64x - 74 $A_5$ $1$ $-1$
3.39204.12t33.a.a 3.39204.12t33.a.b $3$ $2^{2} \cdot 3^{4} \cdot 11^{2}$ x5 - 2x4 - 5x3 + 13x2 + 4x + 1 $A_5$ $1$ $-1$
3.40000.12t33.a.a 3.40000.12t33.a.b $3$ $2^{6} \cdot 5^{4}$ x5 + 20x - 16 $A_5$ $1$ $-1$
3.40000.12t33.e.a 3.40000.12t33.e.b $3$ $2^{6} \cdot 5^{4}$ x5 - 10x3 - 20x2 + 110x + 116 $A_5$ $1$ $-1$
3.40000.12t33.c.a 3.40000.12t33.c.b $3$ $2^{6} \cdot 5^{4}$ x5 + 10x3 - 40x2 + 60x - 32 $A_5$ $1$ $-1$
3.40000.12t33.d.a 3.40000.12t33.d.b $3$ $2^{6} \cdot 5^{4}$ x5 + 10x3 - 10x2 + 35x - 18 $A_5$ $1$ $-1$
3.42849.12t33.a.a 3.42849.12t33.a.b $3$ $3^{4} \cdot 23^{2}$ x5 - x4 + x3 + 2x2 + x - 1 $A_5$ $1$ $-1$
3.48400.12t33.a.a 3.48400.12t33.a.b $3$ $2^{4} \cdot 5^{2} \cdot 11^{2}$ x5 - 2x4 + 6x3 - 20x2 + 4x - 32 $A_5$ $1$ $-1$
3.50625.12t33.b.a 3.50625.12t33.b.b $3$ $3^{4} \cdot 5^{4}$ x5 - 25x2 + 75 $A_5$ $1$ $-1$
3.50625.12t33.a.a 3.50625.12t33.a.b $3$ $3^{4} \cdot 5^{4}$ x5 - 25x2 - 75 $A_5$ $1$ $-1$
3.53824.12t33.a.a 3.53824.12t33.a.b $3$ $2^{6} \cdot 29^{2}$ x5 - 2x3 - 2x2 + 3x + 2 $A_5$ $1$ $-1$
3.53824.12t33.b.a 3.53824.12t33.b.b $3$ $2^{6} \cdot 29^{2}$ x5 - x4 + 12x3 - 14x2 + 42x - 62 $A_5$ $1$ $-1$
3.56169.12t33.a.a 3.56169.12t33.a.b $3$ $3^{2} \cdot 79^{2}$ x5 - 79x2 + 474x - 711 $A_5$ $1$ $-1$
3.61504.12t33.a.a 3.61504.12t33.a.b $3$ $2^{6} \cdot 31^{2}$ x5 - 2x4 + 14x3 - 18x2 + 47x - 36 $A_5$ $1$ $-1$
3.69696.12t33.a.a 3.69696.12t33.a.b $3$ $2^{6} \cdot 3^{2} \cdot 11^{2}$ x5 - x4 - 4x3 - 8x2 + 25x - 1 $A_5$ $1$ $-1$
3.70225.12t33.a.a 3.70225.12t33.a.b $3$ $5^{2} \cdot 53^{2}$ x5 - 2x4 - x3 + 3x2 - x + 2 $A_5$ $1$ $-1$
3.77841.12t33.a.a 3.77841.12t33.a.b $3$ $3^{4} \cdot 31^{2}$ x5 - x4 + 19x3 - 41x2 + 32x - 5 $A_5$ $1$ $-1$
3.88209.12t33.b.a 3.88209.12t33.b.b $3$ $3^{6} \cdot 11^{2}$ x5 - x4 + 7x3 + 3x2 - 30x + 21 $A_5$ $1$ $-1$
3.88209.12t33.a.a 3.88209.12t33.a.b $3$ $3^{6} \cdot 11^{2}$ x5 - 2x4 - 5x3 + 13x2 + 4x - 32 $A_5$ $1$ $-1$
3.105625.12t33.a.a 3.105625.12t33.a.b $3$ $5^{4} \cdot 13^{2}$ x5 + 5x3 - 10x2 - 45 $A_5$ $1$ $-1$
3.107584.12t33.a.a 3.107584.12t33.a.b $3$ $2^{6} \cdot 41^{2}$ x5 - x4 - 16x3 + 36x2 + 267x - 319 $A_5$ $1$ $-1$
3.118336.12t33.a.a 3.118336.12t33.a.b $3$ $2^{6} \cdot 43^{2}$ x5 - 2x4 + 6x3 - 8x2 + 10x - 8 $A_5$ $1$ $-1$
3.126025.12t33.a.a 3.126025.12t33.a.b $3$ $5^{2} \cdot 71^{2}$ x5 - x4 + 3x3 - 4x2 + 5x - 1 $A_5$ $1$ $-1$
3.129600.12t33.a.a 3.129600.12t33.a.b $3$ $2^{6} \cdot 3^{4} \cdot 5^{2}$ x5 - 2x3 - 4x2 - 6x - 4 $A_5$ $1$ $-1$
3.133225.12t33.a.a 3.133225.12t33.a.b $3$ $5^{2} \cdot 73^{2}$ x5 - 2x4 + x2 + 4x - 5 $A_5$ $1$ $-1$
3.144400.12t33.a.a 3.144400.12t33.a.b $3$ $2^{4} \cdot 5^{2} \cdot 19^{2}$ x5 - x4 + 3x3 - 3x2 + 5x - 1 $A_5$ $1$ $-1$
3.149769.12t33.a.a 3.149769.12t33.a.b $3$ $3^{4} \cdot 43^{2}$ x5 - 2x4 + x3 - 5x2 + x - 2 $A_5$ $1$ $-1$
3.160000.12t33.a.a 3.160000.12t33.a.b $3$ $2^{8} \cdot 5^{4}$ x5 - 10x3 - 20x2 + 10x + 216 $A_5$ $1$ $-1$
3.162409.12t33.a.a 3.162409.12t33.a.b $3$ $13^{2} \cdot 31^{2}$ x5 + 2x3 - 5x2 + 2x - 1 $A_5$ $1$ $-1$
3.162409.12t33.b.a 3.162409.12t33.b.b $3$ $13^{2} \cdot 31^{2}$ x5 - 31x2 + 31x + 31 $A_5$ $1$ $-1$
3.188356.12t33.a.a 3.188356.12t33.a.b $3$ $2^{2} \cdot 7^{2} \cdot 31^{2}$ x5 - x4 - 12x3 - 10x2 + 63x + 119 $A_5$ $1$ $-1$
3.193600.12t33.b.a 3.193600.12t33.b.b $3$ $2^{6} \cdot 5^{2} \cdot 11^{2}$ x5 + 2x3 - 2x2 - x + 2 $A_5$ $1$ $-1$
3.193600.12t33.d.a 3.193600.12t33.d.b $3$ $2^{6} \cdot 5^{2} \cdot 11^{2}$ x5 - 2x4 + 6x3 + 24x2 + 37x + 34 $A_5$ $1$ $-1$
3.195364.12t33.a.a 3.195364.12t33.a.b $3$ $2^{2} \cdot 13^{2} \cdot 17^{2}$ x5 - 2x4 - 3x3 + 9x2 - 4x + 1 $A_5$ $1$ $-1$
3.198025.12t33.a.a 3.198025.12t33.a.b $3$ $5^{2} \cdot 89^{2}$ x5 - x4 + 5x3 - x2 + 6x + 1 $A_5$ $1$ $-1$
3.202500.12t33.b.a 3.202500.12t33.b.b $3$ $2^{2} \cdot 3^{4} \cdot 5^{4}$ x5 - 10x2 - 24 $A_5$ $1$ $-1$
3.202500.12t33.a.a 3.202500.12t33.a.b $3$ $2^{2} \cdot 3^{4} \cdot 5^{4}$ x5 - 15x3 - 65x2 - 90x - 57 $A_5$ $1$ $-1$
3.210681.12t33.a.a 3.210681.12t33.a.b $3$ $3^{6} \cdot 17^{2}$ x5 - 2x4 + 4x3 - 5x2 + 4x - 5 $A_5$ $1$ $-1$
3.223729.12t33.a.a 3.223729.12t33.a.b $3$ $11^{2} \cdot 43^{2}$ x5 - 3x3 - 7x2 - 5x - 3 $A_5$ $1$ $-1$
3.243049.12t33.b.a 3.243049.12t33.b.b $3$ $17^{2} \cdot 29^{2}$ x5 - x4 + 5x3 - 3x2 + 4x - 3 $A_5$ $1$ $-1$
3.243049.12t33.a.a 3.243049.12t33.a.b $3$ $17^{2} \cdot 29^{2}$ x5 - x2 - 2x - 3 $A_5$ $1$ $-1$
3.245025.12t33.a.a 3.245025.12t33.a.b $3$ $3^{4} \cdot 5^{2} \cdot 11^{2}$ x5 - x4 - 3x3 - 2x2 + 5x - 3 $A_5$ $1$ $-1$
3.245025.12t33.b.a 3.245025.12t33.b.b $3$ $3^{4} \cdot 5^{2} \cdot 11^{2}$ x5 - 3x3 - 4x2 + 6x + 3 $A_5$ $1$ $-1$
3.261121.12t33.a.a 3.261121.12t33.a.b $3$ $7^{2} \cdot 73^{2}$ x5 - 5x3 - x2 + 9x + 7 $A_5$ $1$ $-1$
3.263169.12t33.a.a 3.263169.12t33.a.b $3$ $3^{6} \cdot 19^{2}$ x5 - x4 + x3 + 2x2 + x + 5 $A_5$ $1$ $-1$
3.270400.12t33.a.a 3.270400.12t33.a.b $3$ $2^{6} \cdot 5^{2} \cdot 13^{2}$ x5 - 2x4 + 5x3 - 2x2 + 7x + 4 $A_5$ $1$ $-1$
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