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	$\chi(c)$
5.14731.6t16.1c1	$5$	$ 14731 $	x^6 - x^5 + x^3 - x^2 + 1	$S_6$	$1$	$-1$
5.20627.6t16.1c1	$5$	$ 20627 $	x^6 - x^5 + x^4 - 2x^3 + 2x^2 - x + 1	$S_6$	$1$	$-1$
5.22291.6t16.1c1	$5$	$ 22291 $	x^6 + x^4 - x^3 - x + 1	$S_6$	$1$	$-1$
5.25747.6t16.1c1	$5$	$ 25747 $	x^6 - x^5 + 2x^4 - 2x^3 + 3x^2 - x + 1	$S_6$	$1$	$-1$
5.83_337.6t16.1c1	$5$	$ 83 \cdot 337 $	x^6 - x^5 + x^4 - 2x^3 + 3x^2 - 2x + 1	$S_6$	$1$	$-1$
5.29077.6t16.1c1	$5$	$ 29077 $	x^6 - x^5 + x^4 - x^2 + 2x - 1	$S_6$	$1$	$1$
5.17e2_101.6t16.1c1	$5$	$ 17^{2} \cdot 101 $	x^6 - 2x^5 + x^4 + x^3 - 2x^2 + x + 1	$S_6$	$1$	$1$
5.2e3_3851.6t16.1c1	$5$	$ 2^{3} \cdot 3851 $	x^6 - x^4 - x^3 + x^2 + x + 1	$S_6$	$1$	$-1$
5.163_191.6t16.1c1	$5$	$ 163 \cdot 191 $	x^6 - 2x^4 - x^3 + 2x + 1	$S_6$	$1$	$1$
5.31223.6t16.1c1	$5$	$ 31223 $	x^6 - x^5 + x^4 - x^3 + 2x^2 - x + 1	$S_6$	$1$	$-1$
5.37_857.6t16.1c1	$5$	$ 37 \cdot 857 $	x^6 - x^5 + 2x^3 - 2x^2 + 1	$S_6$	$1$	$1$
5.53_607.6t16.1c1	$5$	$ 53 \cdot 607 $	x^6 - x^5 + 2x^4 - x^3 + x^2 + 1	$S_6$	$1$	$-1$
5.32911.6t16.1c1	$5$	$ 32911 $	x^6 - x^3 - x^2 + x + 1	$S_6$	$1$	$-1$
5.33791.6t16.1c1	$5$	$ 33791 $	x^6 - x^5 + x^4 + x^3 + x + 1	$S_6$	$1$	$-1$
5.35099.6t16.1c1	$5$	$ 35099 $	x^6 + x^4 + x^2 - x + 1	$S_6$	$1$	$-1$
5.36107.6t16.1c1	$5$	$ 36107 $	x^6 - 2x^5 + x^4 - x^2 + x + 1	$S_6$	$1$	$-1$
5.5_7247.6t16.1c1	$5$	$ 5 \cdot 7247 $	x^6 - x^5 + x^2 - x + 1	$S_6$	$1$	$-1$
5.37253.6t16.1c1	$5$	$ 37253 $	x^6 - x^4 + x^2 - x - 1	$S_6$	$1$	$1$
5.37423.6t16.1c1	$5$	$ 37423 $	x^6 - x^5 + x^4 + 1	$S_6$	$1$	$-1$
5.37463.6t16.1c1	$5$	$ 37463 $	x^6 - x^4 - x^3 + 2x^2 + 2x + 1	$S_6$	$1$	$-1$
5.2e6_587.6t16.1c1	$5$	$ 2^{6} \cdot 587 $	x^6 - 2x^5 + 2x^4 - x^2 + 2x - 1	$S_6$	$1$	$1$
5.107_367.6t16.1c1	$5$	$ 107 \cdot 367 $	x^6 - x^5 - 2x^4 + 2x^3 - 2x + 1	$S_6$	$1$	$1$
5.40277.6t16.1c1	$5$	$ 40277 $	x^6 - x^5 + 2x^3 - 3x^2 + 3x - 1	$S_6$	$1$	$1$
5.40543.6t16.1c1	$5$	$ 40543 $	x^6 - 2x^5 + 3x^4 - 3x^3 + 4x^2 - 2x + 1	$S_6$	$1$	$-1$
5.7_5867.6t16.1c1	$5$	$ 7 \cdot 5867 $	x^6 - 2x^4 + 2x^2 - x - 1	$S_6$	$1$	$1$
5.2e2_71_149.6t16.1c1	$5$	$ 2^{2} \cdot 71 \cdot 149 $	x^6 - x^3 + x + 1	$S_6$	$1$	$-1$
5.43063.6t16.1c1	$5$	$ 43063 $	x^6 - x^3 + x^2 + 1	$S_6$	$1$	$-1$
5.101_431.6t16.1c1	$5$	$ 101 \cdot 431 $	x^6 - x + 1	$S_6$	$1$	$-1$
5.31_1433.6t16.1c1	$5$	$ 31 \cdot 1433 $	x^6 - 2x^5 + 2x^4 - x^2 + x + 1	$S_6$	$1$	$-1$
5.17_2659.6t16.1c1	$5$	$ 17 \cdot 2659 $	x^6 - x^5 + x^4 + x^2 - 2x + 1	$S_6$	$1$	$-1$
5.41_1103.6t16.1c1	$5$	$ 41 \cdot 1103 $	x^6 - x^5 - x^4 - x^3 + 2x^2 + x + 1	$S_6$	$1$	$-1$
5.89_509.6t16.1c1	$5$	$ 89 \cdot 509 $	x^6 - x^5 + x^4 + x - 1	$S_6$	$1$	$1$
5.2e2_31_367.6t16.1c1	$5$	$ 2^{2} \cdot 31 \cdot 367 $	x^6 + x^4 - x^3 + 3x^2 - x + 1	$S_6$	$1$	$-1$
5.2e4_47_61.6t16.1c1	$5$	$ 2^{4} \cdot 47 \cdot 61 $	x^6 - x^5 - x^3 + x + 1	$S_6$	$1$	$-1$
5.11_4241.6t16.1c1	$5$	$ 11 \cdot 4241 $	x^6 - 2x^5 + 2x^4 - x^3 + 1	$S_6$	$1$	$-1$
5.46757.6t16.1c1	$5$	$ 46757 $	x^6 - x^5 + 2x^3 - 2x^2 + 2x - 1	$S_6$	$1$	$1$
5.47149.6t16.1c1	$5$	$ 47149 $	x^6 - x^5 + 3x^4 - 2x^3 + x^2 - 1	$S_6$	$1$	$1$
5.2e6_743.6t16.1c1	$5$	$ 2^{6} \cdot 743 $	x^6 - 2x^5 + 2x^4 - 2x^3 + x^2 + 1	$S_6$	$1$	$-1$
5.73_653.6t16.1c1	$5$	$ 73 \cdot 653 $	x^6 - x^5 + x^4 - x^2 - 1	$S_6$	$1$	$1$
5.47933.6t16.1c1	$5$	$ 47933 $	x^6 - 2x^5 + 2x^4 - x^3 - 1	$S_6$	$1$	$1$
5.5_9923.6t16.1c1	$5$	$ 5 \cdot 9923 $	x^6 - 2x^5 + 3x^4 - x^3 + 1	$S_6$	$1$	$-1$
5.67_743.6t16.1c1	$5$	$ 67 \cdot 743 $	x^6 - x - 1	$S_6$	$1$	$1$
5.131_383.6t16.1c1	$5$	$ 131 \cdot 383 $	x^6 - x^5 + x^4 + 2x^3 - 4x^2 + 3x - 1	$S_6$	$1$	$1$
5.50587.6t16.1c1	$5$	$ 50587 $	x^6 - x^5 + 2x^4 - 2x^3 + 2x^2 + 1	$S_6$	$1$	$-1$
5.73_709.6t16.1c1	$5$	$ 73 \cdot 709 $	x^6 - 2x^3 - 2x^2 + x + 1	$S_6$	$1$	$1$
5.51869.6t16.1c1	$5$	$ 51869 $	x^6 - 2x^5 + x^4 + x^3 - 2x^2 + x - 1	$S_6$	$1$	$1$
5.167_313.6t16.1c1	$5$	$ 167 \cdot 313 $	x^6 - x^5 + x^4 - x^3 + 1	$S_6$	$1$	$-1$
5.227_233.6t16.1c1	$5$	$ 227 \cdot 233 $	x^6 - x^5 + 2x^4 - x^3 + x^2 - 2x + 1	$S_6$	$1$	$-1$
5.7_13_601.6t16.1c1	$5$	$ 7 \cdot 13 \cdot 601 $	x^6 - x^5 - 2x^3 + 2x^2 + 1	$S_6$	$1$	$-1$
5.2e4_3461.6t16.1c1	$5$	$ 2^{4} \cdot 3461 $	x^6 - x^5 - 2x^4 + 3x^3 - x + 1	$S_6$	$1$	$1$