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	$\chi(c)$
3.229.4t5.1c1	$3$	$ 229 $	x^4 - x + 1	$S_4$	$1$	$-1$
3.257.4t5.1c1	$3$	$ 257 $	x^4 + x^2 - x + 1	$S_4$	$1$	$-1$
3.283.4t5.1c1	$3$	$ 283 $	x^4 - x - 1	$S_4$	$1$	$1$
3.331.4t5.1c1	$3$	$ 331 $	x^4 - x^3 + x^2 + x - 1	$S_4$	$1$	$1$
3.491.4t5.1c1	$3$	$ 491 $	x^4 - x^3 - x^2 + 3x - 1	$S_4$	$1$	$1$
3.563.4t5.1c1	$3$	$ 563 $	x^4 - x^3 + x^2 - x - 1	$S_4$	$1$	$1$
3.2e4_37.4t5.1c1	$3$	$ 2^{4} \cdot 37 $	x^4 + 2x^2 - 2x + 1	$S_4$	$1$	$-1$
3.643.4t5.1c1	$3$	$ 643 $	x^4 - x^3 - 2x + 1	$S_4$	$1$	$1$
3.2e4_43.4t5.1c1	$3$	$ 2^{4} \cdot 43 $	x^4 - 2x - 1	$S_4$	$1$	$1$
3.17_41.4t5.1c1	$3$	$ 17 \cdot 41 $	x^4 - x^3 + 2x^2 - x + 2	$S_4$	$1$	$-1$
3.17_43.4t5.1c1	$3$	$ 17 \cdot 43 $	x^4 - x^3 + 2x^2 - 1	$S_4$	$1$	$1$
3.751.4t5.1c1	$3$	$ 751 $	x^4 - 2x^3 + x^2 - x - 1	$S_4$	$1$	$1$
3.761.4t5.1c1	$3$	$ 761 $	x^4 - x^3 + x^2 + 2x + 1	$S_4$	$1$	$-1$
3.2e2_197.4t5.1c1	$3$	$ 2^{2} \cdot 197 $	x^4 - x^3 + 2x^2 - 2x + 2	$S_4$	$1$	$-1$
3.2e4_53.4t5.1c1	$3$	$ 2^{4} \cdot 53 $	x^4 - x^2 - 2x + 1	$S_4$	$1$	$1$
3.2e2_223.4t5.1c1	$3$	$ 2^{2} \cdot 223 $	x^4 - x^3 - x^2 + 2	$S_4$	$1$	$-1$
3.2e4_61.4t5.1c1	$3$	$ 2^{4} \cdot 61 $	x^4 - 2x^3 + 3x^2 - 1	$S_4$	$1$	$1$
3.5_197.4t5.1c1	$3$	$ 5 \cdot 197 $	x^4 - x^3 + 2x^2 - 3x + 2	$S_4$	$1$	$-1$
3.2e3_127.4t5.1c1	$3$	$ 2^{3} \cdot 127 $	x^4 - x^3 + x^2 - 2x + 2	$S_4$	$1$	$-1$
3.2e2_269.4t5.1c1	$3$	$ 2^{2} \cdot 269 $	x^4 - x^3 + 3x^2 - 3x + 2	$S_4$	$1$	$-1$
3.7_157.4t5.1c1	$3$	$ 7 \cdot 157 $	x^4 - x^3 + x^2 - 3x + 1	$S_4$	$1$	$1$
3.3e3_41.4t5.1c1	$3$	$ 3^{3} \cdot 41 $	x^4 - x^3 - 2x - 1	$S_4$	$1$	$1$
3.1129.4t5.1c1	$3$	$ 1129 $	x^4 - x^3 - x + 2	$S_4$	$1$	$-1$
3.2e3_149.4t5.1c1	$3$	$ 2^{3} \cdot 149 $	x^4 - x^3 + 2x^2 + x - 1	$S_4$	$1$	$1$
3.1229.4t5.1c1	$3$	$ 1229 $	x^4 - x^3 + 3x^2 - x + 3	$S_4$	$1$	$-1$
3.5_251.4t5.1c1	$3$	$ 5 \cdot 251 $	x^4 - x^2 - 3x - 1	$S_4$	$1$	$1$
3.3_419.4t5.1c1	$3$	$ 3 \cdot 419 $	x^4 - x^2 - x + 2	$S_4$	$1$	$-1$
3.2e4_79.4t5.1c1	$3$	$ 2^{4} \cdot 79 $	x^4 + 3x^2 - 2x + 1	$S_4$	$1$	$-1$
3.2e4_83.4t5.1c1	$3$	$ 2^{4} \cdot 83 $	x^4 - 3x^2 - 2x + 1	$S_4$	$1$	$1$
3.3_457.4t5.1c1	$3$	$ 3 \cdot 457 $	x^4 + 2x^2 - x - 1	$S_4$	$1$	$1$
3.2e3_173.4t5.1c1	$3$	$ 2^{3} \cdot 173 $	x^4 - x^3 - x^2 + 2x + 2	$S_4$	$1$	$-1$
3.2e2_349.4t5.1c1	$3$	$ 2^{2} \cdot 349 $	x^4 - x^3 + x^2 - x + 2	$S_4$	$1$	$-1$
3.1399.4t5.1c1	$3$	$ 1399 $	x^4 - x^3 + x - 2	$S_4$	$1$	$1$
3.1423.4t5.1c1	$3$	$ 1423 $	x^4 - x^3 + x^2 - 2x - 1	$S_4$	$1$	$1$
3.2e4_89.4t5.1c1	$3$	$ 2^{4} \cdot 89 $	x^4 + x^2 - 2x - 1	$S_4$	$1$	$1$
3.2e2_359.4t5.1c1	$3$	$ 2^{2} \cdot 359 $	x^4 - x^3 + 3x^2 + 2	$S_4$	$1$	$-1$
3.2e2_19e2.6t8.1c1	$3$	$ 2^{2} \cdot 19^{2}$	x^4 - x^3 - 2x^2 - 6x - 2	$S_4$	$1$	$-1$
3.2e4_7_13.4t5.1c1	$3$	$ 2^{4} \cdot 7 \cdot 13 $	x^4 - 2x^2 - 2x + 1	$S_4$	$1$	$1$
3.2e6_23.4t5.1c1	$3$	$ 2^{6} \cdot 23 $	x^4 - 2x^3 + 2x^2 - 2	$S_4$	$1$	$1$
3.1489.4t5.1c1	$3$	$ 1489 $	x^4 - x^3 + 4x^2 - x + 2	$S_4$	$1$	$-1$
3.2e2_373.4t5.1c1	$3$	$ 2^{2} \cdot 373 $	x^4 - x^3 + 2x^2 + 2	$S_4$	$1$	$-1$
3.3_503.4t5.1c1	$3$	$ 3 \cdot 503 $	x^4 - x^3 + 2x^2 + 2x + 1	$S_4$	$1$	$-1$
3.2e2_389.4t5.1c1	$3$	$ 2^{2} \cdot 389 $	x^4 - x^3 - x^2 + x + 2	$S_4$	$1$	$-1$
3.2e2_397.4t5.1c1	$3$	$ 2^{2} \cdot 397 $	x^4 - x^3 - 3x^2 + 2	$S_4$	$1$	$1$
3.3e3_59.4t5.1c1	$3$	$ 3^{3} \cdot 59 $	x^4 - 2x^3 + 3x^2 - x + 2	$S_4$	$1$	$-1$
3.2e4_101.4t5.1c1	$3$	$ 2^{4} \cdot 101 $	x^4 - 2x + 2	$S_4$	$1$	$-1$
3.2e2_433.4t5.1c1	$3$	$ 2^{2} \cdot 433 $	x^4 - x^3 + 3x - 1	$S_4$	$1$	$1$
3.5_353.4t5.1c1	$3$	$ 5 \cdot 353 $	x^4 - x^3 - x^2 - x + 3	$S_4$	$1$	$-1$
3.3e2_199.4t5.1c1	$3$	$ 3^{2} \cdot 199 $	x^4 - x^3 - x^2 - 2x + 1	$S_4$	$1$	$1$
3.1823.4t5.1c1	$3$	$ 1823 $	x^4 - x^3 + 3x - 2	$S_4$	$1$	$1$