Artin Representation Search Results

Dimension	Conductor	Group	Root number	Parity
Smallest container	Ramified primes	Unramified primes	Frobenius-Schur indicator

Results (displaying matches 1-50 of )

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Defining polynomial of Artin field	$G$	Ind	$\chi(c)$
1.7_11_13.2t1.1c1	$1$	$ 7 \cdot 11 \cdot 13 $	x^2 - x - 250	$C_2$	$1$	$1$
1.7_11_13.4t1.1c1 1.7_11_13.4t1.1c2	$1$	$ 7 \cdot 11 \cdot 13 $	x^4 - x^3 + 249x^2 + 251x + 4943	$C_4$	$0$	$-1$
1.7_11_13.6t1.1c1 1.7_11_13.6t1.1c2	$1$	$ 7 \cdot 11 \cdot 13 $	x^6 - x^5 + 103x^4 - 69x^3 + 3857x^2 - 1225x + 51947	$C_6$	$0$	$-1$
1.7_11_13.6t1.2c1 1.7_11_13.6t1.2c2	$1$	$ 7 \cdot 11 \cdot 13 $	x^6 - x^5 - 52x^4 + 109x^3 + 897x^2 - 3168x + 4887	$C_6$	$0$	$-1$
1.17_59.2t1.1c1	$1$	$ 17 \cdot 59 $	x^2 - x + 251	$C_2$	$1$	$-1$
1.17_59.4t1.1c1 1.17_59.4t1.1c2	$1$	$ 17 \cdot 59 $	x^4 - x^3 + 249x^2 + x + 15046	$C_4$	$0$	$-1$
1.2e2_251.2t1.1c1	$1$	$ 2^{2} \cdot 251 $	x^2 - 251	$C_2$	$1$	$1$
1.3_5_67.2t1.1c1	$1$	$ 3 \cdot 5 \cdot 67 $	x^2 - x - 251	$C_2$	$1$	$1$
1.3_5_67.4t1.1c1 1.3_5_67.4t1.1c2	$1$	$ 3 \cdot 5 \cdot 67 $	x^4 - x^3 + 251x^2 - 251x + 12751	$C_4$	$0$	$-1$
1.19_53.2t1.1c1	$1$	$ 19 \cdot 53 $	x^2 - x + 252	$C_2$	$1$	$-1$
1.19_53.6t1.1c1 1.19_53.6t1.1c2	$1$	$ 19 \cdot 53 $	x^6 - x^5 + 249x^4 + 255x^3 + 6421x^2 + 6417x + 51877	$C_6$	$0$	$-1$
1.1009.2t1.1c1	$1$	$ 1009 $	x^2 - x - 252	$C_2$	$1$	$1$
1.1009.3t1.1c1 1.1009.3t1.1c2	$1$	$ 1009 $	x^3 - x^2 - 336x + 1719	$C_3$	$0$	$1$
1.1009.4t1.1c1 1.1009.4t1.1c2	$1$	$ 1009 $	x^4 - x^3 - 378x^2 + 2081x - 67	$C_4$	$0$	$1$
1.3_337.2t1.1c1	$1$	$ 3 \cdot 337 $	x^2 - x + 253	$C_2$	$1$	$-1$
1.3_337.4t1.1c1 1.3_337.4t1.1c2	$1$	$ 3 \cdot 337 $	x^4 - x^3 + 211x^2 + 1032x + 17628	$C_4$	$0$	$-1$
1.2e2_11_23.2t1.1c1	$1$	$ 2^{2} \cdot 11 \cdot 23 $	x^2 + 253	$C_2$	$1$	$-1$
1.2e2_11_23.10t1.1c1 1.2e2_11_23.10t1.1c2 1.2e2_11_23.10t1.1c3 1.2e2_11_23.10t1.1c4	$1$	$ 2^{2} \cdot 11 \cdot 23 $	x^10 - 2x^9 - 122x^8 + 198x^7 + 5582x^6 - 6794x^5 - 118785x^4 + 94556x^3 + 1168426x^2 - 446344x - 4240279	$C_{10}$	$0$	$1$
1.1013.2t1.1c1	$1$	$ 1013 $	x^2 - x - 253	$C_2$	$1$	$1$
1.1013.4t1.1c1 1.1013.4t1.1c2	$1$	$ 1013 $	x^4 - x^3 + 127x^2 + 2849x + 26983	$C_4$	$0$	$-1$
1.5_7_29.2t1.1c1	$1$	$ 5 \cdot 7 \cdot 29 $	x^2 - x + 254	$C_2$	$1$	$-1$
1.5_7_29.4t1.2c1 1.5_7_29.4t1.2c2	$1$	$ 5 \cdot 7 \cdot 29 $	x^4 - x^3 - 254x^2 + 254x + 12751	$C_4$	$0$	$1$
1.5_7_29.4t1.3c1 1.5_7_29.4t1.3c2	$1$	$ 5 \cdot 7 \cdot 29 $	x^4 - x^3 + 236x^2 + 9x + 18351	$C_4$	$0$	$-1$
1.5_7_29.4t1.1c1 1.5_7_29.4t1.1c2	$1$	$ 5 \cdot 7 \cdot 29 $	x^4 - x^3 + 236x^2 + 1024x + 9216	$C_4$	$0$	$-1$
1.2e3_127.2t1.1c1	$1$	$ 2^{3} \cdot 127 $	x^2 - 254	$C_2$	$1$	$1$
1.2e3_127.2t1.2c1	$1$	$ 2^{3} \cdot 127 $	x^2 + 254	$C_2$	$1$	$-1$
1.3e2_113.6t1.1c1 1.3e2_113.6t1.1c2	$1$	$ 3^{2} \cdot 113 $	x^6 + 168x^4 - 85x^3 + 7056x^2 - 7140x + 73081	$C_6$	$0$	$-1$
1.1019.2t1.1c1	$1$	$ 1019 $	x^2 - x + 255	$C_2$	$1$	$-1$
1.2e2_3_5_17.2t1.1c1	$1$	$ 2^{2} \cdot 3 \cdot 5 \cdot 17 $	x^2 - 255	$C_2$	$1$	$1$
1.2e2_3_5_17.4t1.3c1 1.2e2_3_5_17.4t1.3c2	$1$	$ 2^{2} \cdot 3 \cdot 5 \cdot 17 $	x^4 + 255x^2 + 13005	$C_4$	$0$	$-1$
1.2e2_3_5_17.4t1.1c1 1.2e2_3_5_17.4t1.1c2	$1$	$ 2^{2} \cdot 3 \cdot 5 \cdot 17 $	x^4 + 255x^2 + 765	$C_4$	$0$	$-1$
1.2e2_3_5_17.4t1.2c1 1.2e2_3_5_17.4t1.2c2	$1$	$ 2^{2} \cdot 3 \cdot 5 \cdot 17 $	x^4 + 255x^2 + 6885	$C_4$	$0$	$-1$
1.1021.2t1.1c1	$1$	$ 1021 $	x^2 - x - 255	$C_2$	$1$	$1$
1.1021.3t1.1c1 1.1021.3t1.1c2	$1$	$ 1021 $	x^3 - x^2 - 340x - 416	$C_3$	$0$	$1$
1.3_11_31.2t1.1c1	$1$	$ 3 \cdot 11 \cdot 31 $	x^2 - x + 256	$C_2$	$1$	$-1$
1.3_11_31.6t1.1c1 1.3_11_31.6t1.1c2	$1$	$ 3 \cdot 11 \cdot 31 $	x^6 - x^5 - 45x^4 + 21x^3 + 308x^2 - 236x + 16	$C_6$	$0$	$1$
1.13_79.2t1.1c1	$1$	$ 13 \cdot 79 $	x^2 - x + 257	$C_2$	$1$	$-1$
1.13_79.3t1.1c1 1.13_79.3t1.1c2	$1$	$ 13 \cdot 79 $	x^3 - x^2 - 342x - 2016	$C_3$	$0$	$1$
1.13_79.3t1.2c1 1.13_79.3t1.2c2	$1$	$ 13 \cdot 79 $	x^3 - x^2 - 342x - 989	$C_3$	$0$	$1$
1.13_79.4t1.1c1 1.13_79.4t1.1c2	$1$	$ 13 \cdot 79 $	x^4 - x^3 - 258x^2 - 256x + 4943	$C_4$	$0$	$1$
1.13_79.6t1.2c1 1.13_79.6t1.2c2	$1$	$ 13 \cdot 79 $	x^6 - x^5 + 51x^4 - 29x^3 + 1195x^2 - 703x + 11545	$C_6$	$0$	$-1$
1.13_79.6t1.1c1 1.13_79.6t1.1c2	$1$	$ 13 \cdot 79 $	x^6 - x^5 - 62x^4 + 141x^3 + 665x^2 - 1882x + 1037	$C_6$	$0$	$1$
1.2e2_257.2t1.1c1	$1$	$ 2^{2} \cdot 257 $	x^2 + 257	$C_2$	$1$	$-1$
1.1031.2t1.1c1	$1$	$ 1031 $	x^2 - x + 258	$C_2$	$1$	$-1$
1.2e3_3_43.2t1.2c1	$1$	$ 2^{3} \cdot 3 \cdot 43 $	x^2 + 258	$C_2$	$1$	$-1$
1.2e3_3_43.2t1.1c1	$1$	$ 2^{3} \cdot 3 \cdot 43 $	x^2 - 258	$C_2$	$1$	$1$
1.2e3_3_43.6t1.1c1 1.2e3_3_43.6t1.1c2	$1$	$ 2^{3} \cdot 3 \cdot 43 $	x^6 - 2x^5 - 45x^4 + 36x^3 + 308x^2 - 304x - 188	$C_6$	$0$	$1$
1.1033.2t1.1c1	$1$	$ 1033 $	x^2 - x - 258	$C_2$	$1$	$1$
1.1033.3t1.1c1 1.1033.3t1.1c2	$1$	$ 1033 $	x^3 - x^2 - 344x - 1913	$C_3$	$0$	$1$
1.3e2_5_23.6t1.1c1 1.3e2_5_23.6t1.1c2	$1$	$ 3^{2} \cdot 5 \cdot 23 $	x^6 - 3x^5 + 84x^4 - 161x^3 + 2607x^2 - 2706x + 29699	$C_6$	$0$	$-1$