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	$\chi(c)$
1.73_137.2t1.1c1	$1$	$ 73 \cdot 137 $	x^2 - x - 2500	$C_2$	$1$	$1$
1.73_137.4t1.1c1 1.73_137.4t1.1c2	$1$	$ 73 \cdot 137 $	x^4 - x^3 - 3750x^2 - 79383x - 249439	$C_4$	$0$	$1$
1.7_1429.2t1.1c1	$1$	$ 7 \cdot 1429 $	x^2 - x + 2501	$C_2$	$1$	$-1$
1.7_1429.3t1.1c1 1.7_1429.3t1.1c2	$1$	$ 7 \cdot 1429 $	x^3 - x^2 - 3334x - 10744	$C_3$	$0$	$1$
1.7_1429.3t1.2c1 1.7_1429.3t1.2c2	$1$	$ 7 \cdot 1429 $	x^3 - x^2 - 3334x + 39271	$C_3$	$0$	$1$
1.2e2_41_61.2t1.1c1	$1$	$ 2^{2} \cdot 41 \cdot 61 $	x^2 + 2501	$C_2$	$1$	$-1$
1.3_5_23_29.2t1.1c1	$1$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	x^2 - x - 2501	$C_2$	$1$	$1$
1.3_5_23_29.4t1.1c1 1.3_5_23_29.4t1.1c2	$1$	$ 3 \cdot 5 \cdot 23 \cdot 29 $	x^4 - x^3 + 2501x^2 - 2501x + 1252501	$C_4$	$0$	$-1$
1.10007.2t1.1c1	$1$	$ 10007 $	x^2 - x + 2502	$C_2$	$1$	$-1$
1.10009.3t1.1c1 1.10009.3t1.1c2	$1$	$ 10009 $	x^3 - x^2 - 3336x - 66356	$C_3$	$0$	$1$
1.3_47_71.2t1.1c1	$1$	$ 3 \cdot 47 \cdot 71 $	x^2 - x + 2503	$C_2$	$1$	$-1$
1.2e2_2503.2t1.1c1	$1$	$ 2^{2} \cdot 2503 $	x^2 - 2503	$C_2$	$1$	$1$
1.17_19_31.2t1.1c1	$1$	$ 17 \cdot 19 \cdot 31 $	x^2 - x - 2503	$C_2$	$1$	$1$
1.5_2003.2t1.1c1	$1$	$ 5 \cdot 2003 $	x^2 - x + 2504	$C_2$	$1$	$-1$
1.43_233.2t1.1c1	$1$	$ 43 \cdot 233 $	x^2 - x + 2505	$C_2$	$1$	$-1$
1.2e2_3_5_167.2t1.1c1	$1$	$ 2^{2} \cdot 3 \cdot 5 \cdot 167 $	x^2 + 2505	$C_2$	$1$	$-1$
1.3_13_257.2t1.1c1	$1$	$ 3 \cdot 13 \cdot 257 $	x^2 - x + 2506	$C_2$	$1$	$-1$
1.2e3_7_179.2t1.2c1	$1$	$ 2^{3} \cdot 7 \cdot 179 $	x^2 + 2506	$C_2$	$1$	$-1$
1.2e3_7_179.2t1.1c1	$1$	$ 2^{3} \cdot 7 \cdot 179 $	x^2 - 2506	$C_2$	$1$	$1$
1.37_271.2t1.1c1	$1$	$ 37 \cdot 271 $	x^2 - x + 2507	$C_2$	$1$	$-1$
1.37_271.3t1.1c1 1.37_271.3t1.1c2	$1$	$ 37 \cdot 271 $	x^3 - x^2 - 3342x - 73160	$C_3$	$0$	$1$
1.37_271.3t1.2c1 1.37_271.3t1.2c2	$1$	$ 37 \cdot 271 $	x^3 - x^2 - 3342x - 43079	$C_3$	$0$	$1$
1.2e2_23_109.2t1.1c1	$1$	$ 2^{2} \cdot 23 \cdot 109 $	x^2 - 2507	$C_2$	$1$	$1$
1.3_3343.2t1.1c1	$1$	$ 3 \cdot 3343 $	x^2 - x - 2507	$C_2$	$1$	$1$
1.7_1433.2t1.1c1	$1$	$ 7 \cdot 1433 $	x^2 - x + 2508	$C_2$	$1$	$-1$
1.79_127.3t1.2c1 1.79_127.3t1.2c2	$1$	$ 79 \cdot 127 $	x^3 - x^2 - 3344x - 52023	$C_3$	$0$	$1$
1.79_127.3t1.1c1 1.79_127.3t1.1c2	$1$	$ 79 \cdot 127 $	x^3 - x^2 - 3344x - 72089	$C_3$	$0$	$1$
1.2e2_13_193.2t1.1c1	$1$	$ 2^{2} \cdot 13 \cdot 193 $	x^2 + 2509	$C_2$	$1$	$-1$
1.10037.2t1.1c1	$1$	$ 10037 $	x^2 - x - 2509	$C_2$	$1$	$1$
1.10039.2t1.1c1	$1$	$ 10039 $	x^2 - x + 2510	$C_2$	$1$	$-1$
1.10039.3t1.1c1 1.10039.3t1.1c2	$1$	$ 10039 $	x^3 - x^2 - 3346x + 56144	$C_3$	$0$	$1$
1.2e3_5_251.2t1.1c1	$1$	$ 2^{3} \cdot 5 \cdot 251 $	x^2 - 2510	$C_2$	$1$	$1$
1.2e3_5_251.4t1.1c1 1.2e3_5_251.4t1.1c2	$1$	$ 2^{3} \cdot 5 \cdot 251 $	x^4 + 2510x^2 + 1260020	$C_4$	$0$	$-1$
1.3_17_197.2t1.1c1	$1$	$ 3 \cdot 17 \cdot 197 $	x^2 - x + 2512	$C_2$	$1$	$-1$
1.2e2_7_359.2t1.1c1	$1$	$ 2^{2} \cdot 7 \cdot 359 $	x^2 + 2513	$C_2$	$1$	$-1$
1.3e2_1117.3t1.1c1 1.3e2_1117.3t1.1c2	$1$	$ 3^{2} \cdot 1117 $	x^3 - 3351x - 51382	$C_3$	$0$	$1$
1.3e2_1117.3t1.2c1 1.3e2_1117.3t1.2c2	$1$	$ 3^{2} \cdot 1117 $	x^3 - 3351x - 21223	$C_3$	$0$	$1$
1.3e2_1117.6t1.1c1 1.3e2_1117.6t1.1c2	$1$	$ 3^{2} \cdot 1117 $	x^6 - 3x^5 - 840x^4 + 1683x^3 + 232689x^2 - 235200x - 21251431	$C_6$	$0$	$1$
1.5_2011.2t1.1c1	$1$	$ 5 \cdot 2011 $	x^2 - x + 2514	$C_2$	$1$	$-1$
1.2e3_3_419.2t1.1c1	$1$	$ 2^{3} \cdot 3 \cdot 419 $	x^2 + 2514	$C_2$	$1$	$-1$
1.2e3_3_419.2t1.2c1	$1$	$ 2^{3} \cdot 3 \cdot 419 $	x^2 - 2514	$C_2$	$1$	$1$
1.3_7_479.2t1.1c1	$1$	$ 3 \cdot 7 \cdot 479 $	x^2 - x + 2515	$C_2$	$1$	$-1$
1.2e2_5_503.2t1.1c1	$1$	$ 2^{2} \cdot 5 \cdot 503 $	x^2 - 2515	$C_2$	$1$	$1$
1.10061.2t1.1c1	$1$	$ 10061 $	x^2 - x - 2515	$C_2$	$1$	$1$
1.29_347.2t1.1c1	$1$	$ 29 \cdot 347 $	x^2 - x + 2516	$C_2$	$1$	$-1$
1.2e4_17_37.4t1.1c1 1.2e4_17_37.4t1.1c2	$1$	$ 2^{4} \cdot 17 \cdot 37 $	x^4 + 2516x^2 + 791282	$C_4$	$0$	$-1$
1.10067.2t1.1c1	$1$	$ 10067 $	x^2 - x + 2517	$C_2$	$1$	$-1$
1.2e2_3_839.2t1.1c1	$1$	$ 2^{2} \cdot 3 \cdot 839 $	x^2 + 2517	$C_2$	$1$	$-1$
1.10069.2t1.1c1	$1$	$ 10069 $	x^2 - x - 2517	$C_2$	$1$	$1$
1.10069.3t1.1c1 1.10069.3t1.1c2	$1$	$ 10069 $	x^3 - x^2 - 3356x + 75331	$C_3$	$0$	$1$