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	$\chi(c)$
4.1609.5t5.1c1	$4$	$ 1609 $	x^5 - x^3 - x^2 + x + 1	$S_5$	$1$	$0$
4.17_97.5t5.1c1	$4$	$ 17 \cdot 97 $	x^5 - x^4 + x^2 - x + 1	$S_5$	$1$	$0$
4.1777.5t5.1c1	$4$	$ 1777 $	x^5 - x^4 + x^3 - 2x^2 + x - 1	$S_5$	$1$	$0$
4.2297.5t5.1c1	$4$	$ 2297 $	x^5 - x^4 + x^3 - x^2 - 1	$S_5$	$1$	$0$
4.2617.5t5.1c1	$4$	$ 2617 $	x^5 + x^3 - 2x^2 - 1	$S_5$	$1$	$0$
4.5_13_41.5t5.1c1	$4$	$ 5 \cdot 13 \cdot 41 $	x^5 - x^4 + x^3 - x^2 + 2x - 1	$S_5$	$1$	$0$
4.19_151.5t5.1c1	$4$	$ 19 \cdot 151 $	x^5 - x - 1	$S_5$	$1$	$0$
4.7_431.5t5.1c1	$4$	$ 7 \cdot 431 $	x^5 - x^2 + 1	$S_5$	$1$	$0$
4.3089.5t5.1c1	$4$	$ 3089 $	x^5 - x^3 + 2x - 1	$S_5$	$1$	$0$
4.53_61.5t5.1c1	$4$	$ 53 \cdot 61 $	x^5 - x^2 - 1	$S_5$	$1$	$0$
4.3_1123.5t5.1c1	$4$	$ 3 \cdot 1123 $	x^5 + x^3 - x^2 - x - 1	$S_5$	$1$	$0$
4.7_19_29.5t5.1c1	$4$	$ 7 \cdot 19 \cdot 29 $	x^5 - x^4 + x^3 - x^2 + 1	$S_5$	$1$	$0$
4.3889.5t5.1c1	$4$	$ 3889 $	x^5 - x^4 + x^3 + x - 1	$S_5$	$1$	$0$
4.11_379.5t5.1c1	$4$	$ 11 \cdot 379 $	x^5 + 2x^3 - x^2 + 2x - 1	$S_5$	$1$	$0$
4.4261.5t5.1c1	$4$	$ 4261 $	x^5 - 2x^2 - 2x - 1	$S_5$	$1$	$0$
4.4409.5t5.1c1	$4$	$ 4409 $	x^5 - x^4 + x^2 + x - 1	$S_5$	$1$	$0$
4.7_631.5t5.1c1	$4$	$ 7 \cdot 631 $	x^5 - 2x^4 + 2x^3 - x^2 - 1	$S_5$	$1$	$0$
4.43_103.5t5.1c1	$4$	$ 43 \cdot 103 $	x^5 - x^4 + 2x^3 - x^2 + 1	$S_5$	$1$	$0$
4.2e4_277.5t5.1c1	$4$	$ 2^{4} \cdot 277 $	x^5 - x^4 + 2x^2 - x + 1	$S_5$	$1$	$0$
4.11e2_37.5t5.1c1	$4$	$ 11^{2} \cdot 37 $	x^5 + x^3 + x - 1	$S_5$	$1$	$0$
4.13_347.5t5.1c1	$4$	$ 13 \cdot 347 $	x^5 - x^3 - 2x^2 + 1	$S_5$	$1$	$2$
4.4549.5t5.1c1	$4$	$ 4549 $	x^5 - x^4 + 2x^3 - 2x^2 - 1	$S_5$	$1$	$0$
4.4597.5t5.1c1	$4$	$ 4597 $	x^5 + x^3 - 2x^2 - x - 1	$S_5$	$1$	$0$
4.67_71.5t5.1c1	$4$	$ 67 \cdot 71 $	x^5 - x^4 + 2x^3 - x^2 + 2x - 1	$S_5$	$1$	$0$
4.4817.5t5.1c1	$4$	$ 4817 $	x^5 - 2x^4 + 2x^3 - x^2 + 2x - 1	$S_5$	$1$	$0$
4.59_83.5t5.1c1	$4$	$ 59 \cdot 83 $	x^5 - x^4 - x^3 + x^2 + 1	$S_5$	$1$	$0$
4.4903.5t5.1c1	$4$	$ 4903 $	x^5 - x^4 - x^3 + 2x^2 - x - 1	$S_5$	$1$	$2$
4.3_5e2_67.5t5.1c1	$4$	$ 3 \cdot 5^{2} \cdot 67 $	x^5 - x^4 - x^2 + x + 1	$S_5$	$1$	$0$
4.2e2_1291.5t5.1c1	$4$	$ 2^{2} \cdot 1291 $	x^5 - x^4 - x^3 + 2x + 1	$S_5$	$1$	$0$
4.5437.5t5.1c1	$4$	$ 5437 $	x^5 - 2x^4 + 2x^3 - 2x^2 - 1	$S_5$	$1$	$0$
4.5501.5t5.1c1	$4$	$ 5501 $	x^5 - 2x^4 + 2x^2 - x + 1	$S_5$	$1$	$0$
4.5519.5t5.1c1	$4$	$ 5519 $	x^5 - x^4 - x^3 + 3x^2 - 1	$S_5$	$1$	$2$
4.2e4_349.5t5.1c1	$4$	$ 2^{4} \cdot 349 $	x^5 - x^4 + x + 1	$S_5$	$1$	$0$
4.5653.5t5.1c1	$4$	$ 5653 $	x^5 - x^4 + 2x - 1	$S_5$	$1$	$0$
4.11_523.5t5.1c1	$4$	$ 11 \cdot 523 $	x^5 - x^4 - x^3 + 2x^2 - x + 1	$S_5$	$1$	$0$
4.5783.5t5.1c1	$4$	$ 5783 $	x^5 - 2x^4 + x^3 + 2x^2 - 2x - 1	$S_5$	$1$	$2$
4.2e3_733.5t5.1c1	$4$	$ 2^{3} \cdot 733 $	x^5 - x^4 + x^3 + 2x^2 - 2x + 1	$S_5$	$1$	$0$
4.3e4_73.5t5.1c1	$4$	$ 3^{4} \cdot 73 $	x^5 - x^4 + 2x^3 - x^2 + x + 1	$S_5$	$1$	$0$
4.6449.5t5.1c1	$4$	$ 6449 $	x^5 - x^4 + x^3 - 3x^2 - 1	$S_5$	$1$	$0$
4.6581.5t5.1c1	$4$	$ 6581 $	x^5 - 2x^2 - 1	$S_5$	$1$	$0$
4.29_233.5t5.1c1	$4$	$ 29 \cdot 233 $	x^5 - x^4 + 3x^2 - 2x + 1	$S_5$	$1$	$0$
4.6793.5t5.1c1	$4$	$ 6793 $	x^5 - x^4 + x^3 + x + 1	$S_5$	$1$	$0$
4.79_89.5t5.1c1	$4$	$ 79 \cdot 89 $	x^5 - x^3 - x^2 - x + 1	$S_5$	$1$	$2$
4.2e3_887.5t5.1c1	$4$	$ 2^{3} \cdot 887 $	x^5 - x^2 + x + 1	$S_5$	$1$	$0$
4.7177.5t5.1c1	$4$	$ 7177 $	x^5 - x^4 + 3x^3 - x^2 + 2x - 1	$S_5$	$1$	$0$
4.5_1453.5t5.1c1	$4$	$ 5 \cdot 1453 $	x^5 - x^4 + x^3 + 2x^2 - x + 1	$S_5$	$1$	$0$
4.7333.5t5.1c1	$4$	$ 7333 $	x^5 - 2x^4 + 2x^3 - 2x^2 + 3x - 1	$S_5$	$1$	$0$
4.53_139.5t5.1c1	$4$	$ 53 \cdot 139 $	x^5 - 2x^4 + 3x^2 - 2x - 1	$S_5$	$1$	$2$
4.73_101.5t5.1c1	$4$	$ 73 \cdot 101 $	x^5 - 2x^4 + 2x^2 + x - 1	$S_5$	$1$	$0$
4.2e4_461.5t5.1c1	$4$	$ 2^{4} \cdot 461 $	x^5 - 2x^4 + 2x^3 - 2x + 2	$S_5$	$1$	$0$