Artin representation search results

Dimension	Conductor	Group	Root number	Parity
Smallest permutation container	Ramified primes	Unramified primes	Frobenius-Schur indicator
Projective image	Projective image type

Results (displaying matches 1-50 of )

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}$	x^5 - x^4 + 2x^2 - 2x + 2	$A_5$	$1$	$-1$
3.23104.12t33.a.a 3.23104.12t33.a.b	$3$	$ 2^{6} \cdot 19^{2}$	x^5 - x^4 + 8x^3 - 32x^2 + 45x - 17	$A_5$	$1$	$-1$
3.29241.12t33.d.a 3.29241.12t33.d.b	$3$	$ 3^{4} \cdot 19^{2}$	x^5 - 19x^2 + 57	$A_5$	$1$	$-1$
3.29241.12t33.c.a 3.29241.12t33.c.b	$3$	$ 3^{4} \cdot 19^{2}$	x^5 - 2x^4 + 13x^3 - 9x^2 + 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}$	x^5 - x^4 - 11x^3 + 6x^2 + 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}$	x^5 - 2x^4 - 5x^3 + 13x^2 + 4x + 1	$A_5$	$1$	$-1$
3.40000.12t33.a.a 3.40000.12t33.a.b	$3$	$ 2^{6} \cdot 5^{4}$	x^5 + 20x - 16	$A_5$	$1$	$-1$
3.40000.12t33.e.a 3.40000.12t33.e.b	$3$	$ 2^{6} \cdot 5^{4}$	x^5 - 10x^3 - 20x^2 + 110x + 116	$A_5$	$1$	$-1$
3.40000.12t33.c.a 3.40000.12t33.c.b	$3$	$ 2^{6} \cdot 5^{4}$	x^5 + 10x^3 - 40x^2 + 60x - 32	$A_5$	$1$	$-1$
3.40000.12t33.d.a 3.40000.12t33.d.b	$3$	$ 2^{6} \cdot 5^{4}$	x^5 + 10x^3 - 10x^2 + 35x - 18	$A_5$	$1$	$-1$
3.42849.12t33.a.a 3.42849.12t33.a.b	$3$	$ 3^{4} \cdot 23^{2}$	x^5 - x^4 + x^3 + 2x^2 + 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}$	x^5 - 2x^4 + 6x^3 - 20x^2 + 4x - 32	$A_5$	$1$	$-1$
3.50625.12t33.b.a 3.50625.12t33.b.b	$3$	$ 3^{4} \cdot 5^{4}$	x^5 - 25x^2 + 75	$A_5$	$1$	$-1$
3.50625.12t33.a.a 3.50625.12t33.a.b	$3$	$ 3^{4} \cdot 5^{4}$	x^5 - 25x^2 - 75	$A_5$	$1$	$-1$
3.53824.12t33.a.a 3.53824.12t33.a.b	$3$	$ 2^{6} \cdot 29^{2}$	x^5 - 2x^3 - 2x^2 + 3x + 2	$A_5$	$1$	$-1$
3.53824.12t33.b.a 3.53824.12t33.b.b	$3$	$ 2^{6} \cdot 29^{2}$	x^5 - x^4 + 12x^3 - 14x^2 + 42x - 62	$A_5$	$1$	$-1$
3.56169.12t33.a.a 3.56169.12t33.a.b	$3$	$ 3^{2} \cdot 79^{2}$	x^5 - 79x^2 + 474x - 711	$A_5$	$1$	$-1$
3.61504.12t33.a.a 3.61504.12t33.a.b	$3$	$ 2^{6} \cdot 31^{2}$	x^5 - 2x^4 + 14x^3 - 18x^2 + 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}$	x^5 - x^4 - 4x^3 - 8x^2 + 25x - 1	$A_5$	$1$	$-1$
3.70225.12t33.a.a 3.70225.12t33.a.b	$3$	$ 5^{2} \cdot 53^{2}$	x^5 - 2x^4 - x^3 + 3x^2 - x + 2	$A_5$	$1$	$-1$
3.77841.12t33.a.a 3.77841.12t33.a.b	$3$	$ 3^{4} \cdot 31^{2}$	x^5 - x^4 + 19x^3 - 41x^2 + 32x - 5	$A_5$	$1$	$-1$
3.88209.12t33.b.a 3.88209.12t33.b.b	$3$	$ 3^{6} \cdot 11^{2}$	x^5 - x^4 + 7x^3 + 3x^2 - 30x + 21	$A_5$	$1$	$-1$
3.88209.12t33.a.a 3.88209.12t33.a.b	$3$	$ 3^{6} \cdot 11^{2}$	x^5 - 2x^4 - 5x^3 + 13x^2 + 4x - 32	$A_5$	$1$	$-1$
3.105625.12t33.a.a 3.105625.12t33.a.b	$3$	$ 5^{4} \cdot 13^{2}$	x^5 + 5x^3 - 10x^2 - 45	$A_5$	$1$	$-1$
3.107584.12t33.a.a 3.107584.12t33.a.b	$3$	$ 2^{6} \cdot 41^{2}$	x^5 - x^4 - 16x^3 + 36x^2 + 267x - 319	$A_5$	$1$	$-1$
3.118336.12t33.a.a 3.118336.12t33.a.b	$3$	$ 2^{6} \cdot 43^{2}$	x^5 - 2x^4 + 6x^3 - 8x^2 + 10x - 8	$A_5$	$1$	$-1$
3.126025.12t33.a.a 3.126025.12t33.a.b	$3$	$ 5^{2} \cdot 71^{2}$	x^5 - x^4 + 3x^3 - 4x^2 + 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}$	x^5 - 2x^3 - 4x^2 - 6x - 4	$A_5$	$1$	$-1$
3.133225.12t33.a.a 3.133225.12t33.a.b	$3$	$ 5^{2} \cdot 73^{2}$	x^5 - 2x^4 + x^2 + 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}$	x^5 - x^4 + 3x^3 - 3x^2 + 5x - 1	$A_5$	$1$	$-1$
3.149769.12t33.a.a 3.149769.12t33.a.b	$3$	$ 3^{4} \cdot 43^{2}$	x^5 - 2x^4 + x^3 - 5x^2 + x - 2	$A_5$	$1$	$-1$
3.160000.12t33.a.a 3.160000.12t33.a.b	$3$	$ 2^{8} \cdot 5^{4}$	x^5 - 10x^3 - 20x^2 + 10x + 216	$A_5$	$1$	$-1$
3.162409.12t33.a.a 3.162409.12t33.a.b	$3$	$ 13^{2} \cdot 31^{2}$	x^5 + 2x^3 - 5x^2 + 2x - 1	$A_5$	$1$	$-1$
3.162409.12t33.b.a 3.162409.12t33.b.b	$3$	$ 13^{2} \cdot 31^{2}$	x^5 - 31x^2 + 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}$	x^5 - x^4 - 12x^3 - 10x^2 + 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}$	x^5 + 2x^3 - 2x^2 - 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}$	x^5 - 2x^4 + 6x^3 + 24x^2 + 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}$	x^5 - 2x^4 - 3x^3 + 9x^2 - 4x + 1	$A_5$	$1$	$-1$
3.198025.12t33.a.a 3.198025.12t33.a.b	$3$	$ 5^{2} \cdot 89^{2}$	x^5 - x^4 + 5x^3 - x^2 + 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}$	x^5 - 10x^2 - 24	$A_5$	$1$	$-1$
3.202500.12t33.a.a 3.202500.12t33.a.b	$3$	$ 2^{2} \cdot 3^{4} \cdot 5^{4}$	x^5 - 15x^3 - 65x^2 - 90x - 57	$A_5$	$1$	$-1$
3.210681.12t33.a.a 3.210681.12t33.a.b	$3$	$ 3^{6} \cdot 17^{2}$	x^5 - 2x^4 + 4x^3 - 5x^2 + 4x - 5	$A_5$	$1$	$-1$
3.223729.12t33.a.a 3.223729.12t33.a.b	$3$	$ 11^{2} \cdot 43^{2}$	x^5 - 3x^3 - 7x^2 - 5x - 3	$A_5$	$1$	$-1$
3.243049.12t33.b.a 3.243049.12t33.b.b	$3$	$ 17^{2} \cdot 29^{2}$	x^5 - x^4 + 5x^3 - 3x^2 + 4x - 3	$A_5$	$1$	$-1$
3.243049.12t33.a.a 3.243049.12t33.a.b	$3$	$ 17^{2} \cdot 29^{2}$	x^5 - x^2 - 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}$	x^5 - x^4 - 3x^3 - 2x^2 + 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}$	x^5 - 3x^3 - 4x^2 + 6x + 3	$A_5$	$1$	$-1$
3.261121.12t33.a.a 3.261121.12t33.a.b	$3$	$ 7^{2} \cdot 73^{2}$	x^5 - 5x^3 - x^2 + 9x + 7	$A_5$	$1$	$-1$
3.263169.12t33.a.a 3.263169.12t33.a.b	$3$	$ 3^{6} \cdot 19^{2}$	x^5 - x^4 + x^3 + 2x^2 + 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}$	x^5 - 2x^4 + 5x^3 - 2x^2 + 7x + 4	$A_5$	$1$	$-1$