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	$\chi(c)$
6.184607.7t7.1c1	$6$	$ 184607 $	x^7 - x^6 - x^5 + x^4 - x^2 + x + 1	$S_7$	$1$	$0$
6.193327.7t7.1c1	$6$	$ 193327 $	x^7 - x^6 + 2x^4 - 2x^3 + 2x - 1	$S_7$	$1$	$0$
6.193607.7t7.1c1	$6$	$ 193607 $	x^7 - x^4 - x^3 + x^2 + 1	$S_7$	$1$	$0$
6.29_6763.7t7.1c1	$6$	$ 29 \cdot 6763 $	x^7 - 2x^6 + 2x^5 - x^4 + 2x^2 - 2x + 1	$S_7$	$1$	$0$
6.199559.7t7.1c1	$6$	$ 199559 $	x^7 - x^6 + x^3 - x + 1	$S_7$	$1$	$0$
6.17_11863.7t7.1c1	$6$	$ 17 \cdot 11863 $	x^7 - x^6 + 2x^5 - 2x^4 + 2x^3 - 2x^2 + 2x - 1	$S_7$	$1$	$0$
6.202471.7t7.1c1	$6$	$ 202471 $	x^7 - x^6 - x^5 + 2x^4 - x^2 + 1	$S_7$	$1$	$0$
6.11_41_461.7t7.1c1	$6$	$ 11 \cdot 41 \cdot 461 $	x^7 - x^5 - x^4 - x^3 + x^2 + x + 1	$S_7$	$1$	$0$
6.19_11149.7t7.1c1	$6$	$ 19 \cdot 11149 $	x^7 - x^6 + 2x^5 - x^4 + x^2 - 2x + 1	$S_7$	$1$	$0$
6.214607.7t7.1c1	$6$	$ 214607 $	x^7 - x^6 + 2x^5 - 2x^4 + 2x^3 - 2x^2 - 1	$S_7$	$1$	$0$
6.277_811.7t7.1c1	$6$	$ 277 \cdot 811 $	x^7 - 2x^5 - x^4 + 2x^3 + 2x^2 - 1	$S_7$	$1$	$0$
6.167_1361.7t7.1c1	$6$	$ 167 \cdot 1361 $	x^7 - 2x^6 + 3x^5 - 3x^4 + 3x^3 - 2x^2 + 2x - 1	$S_7$	$1$	$0$
6.23_10337.7t7.1c1	$6$	$ 23 \cdot 10337 $	x^7 - x^6 + x^5 - x^4 + x^3 + x^2 - 2x + 1	$S_7$	$1$	$0$
6.242147.7t7.1c1	$6$	$ 242147 $	x^7 - 2x^6 + 2x^5 - x^4 - x^3 + 2x^2 - x + 1	$S_7$	$1$	$0$
6.242971.7t7.1c1	$6$	$ 242971 $	x^7 - x^6 - x^5 + 2x^4 - 2x^2 + x + 1	$S_7$	$1$	$0$
6.13_19259.7t7.1c1	$6$	$ 13 \cdot 19259 $	x^7 - 2x^6 + 4x^5 - 4x^4 + 3x^3 - x^2 - x + 1	$S_7$	$1$	$0$
6.83_3037.7t7.1c1	$6$	$ 83 \cdot 3037 $	x^7 - x^6 + 2x^4 - x^3 - 2x^2 + x + 1	$S_7$	$1$	$0$
6.307_853.7t7.1c1	$6$	$ 307 \cdot 853 $	x^7 - x^6 - x^5 + 2x^4 - x^3 - x^2 + x - 1	$S_7$	$1$	$0$
6.101_2647.7t7.1c1	$6$	$ 101 \cdot 2647 $	x^7 - x^4 - 2x^3 + x^2 + x - 1	$S_7$	$1$	$0$
6.461_587.7t7.1c1	$6$	$ 461 \cdot 587 $	x^7 - x^6 + x^5 - 3x^4 + 2x^3 - 2x^2 + 2x - 1	$S_7$	$1$	$0$
6.7_38953.7t7.1c1	$6$	$ 7 \cdot 38953 $	x^7 - 2x^6 + 3x^5 - 4x^4 + 4x^3 - 3x^2 + x - 1	$S_7$	$1$	$0$
6.61_4643.7t7.1c1	$6$	$ 61 \cdot 4643 $	x^7 + x^3 - 2x - 1	$S_7$	$1$	$0$
6.286711.7t7.1c1	$6$	$ 286711 $	x^7 - x^5 - 2x^4 + x^3 + 2x^2 - x - 1	$S_7$	$1$	$0$
6.109_2659.7t7.1c1	$6$	$ 109 \cdot 2659 $	x^7 + x^5 - x^4 + x^3 - x^2 + x - 1	$S_7$	$1$	$0$
6.289987.7t7.1c1	$6$	$ 289987 $	x^7 - x^6 + 2x^5 - 2x^4 + 2x^3 - x^2 + x - 1	$S_7$	$1$	$0$
6.29_43_241.7t7.1c1	$6$	$ 29 \cdot 43 \cdot 241 $	x^7 - 2x^6 + 2x^5 - 2x^3 + 4x^2 - 3x + 1	$S_7$	$1$	$0$
6.277_1123.7t7.1c1	$6$	$ 277 \cdot 1123 $	x^7 - x^6 + 3x^5 - 3x^4 + 4x^3 - 4x^2 + 2x - 1	$S_7$	$1$	$0$
6.315631.7t7.1c1	$6$	$ 315631 $	x^7 - x^5 - 2x^4 + x^2 + x + 1	$S_7$	$1$	$0$
6.317159.7t7.1c1	$6$	$ 317159 $	x^7 - 3x^6 + 4x^5 - 4x^4 + 4x^3 - 4x^2 + 2x - 1	$S_7$	$1$	$0$
6.319831.7t7.1c1	$6$	$ 319831 $	x^7 - x^6 + 2x^4 - 3x^3 + 4x^2 - 3x + 1	$S_7$	$1$	$0$
6.5e2_37_347.7t7.1c1	$6$	$ 5^{2} \cdot 37 \cdot 347 $	x^7 - x^6 + x^5 - x^4 + 2x^2 - 2x + 1	$S_7$	$1$	$0$
6.23_14369.7t7.1c1	$6$	$ 23 \cdot 14369 $	x^7 + x^5 - x^3 - x - 1	$S_7$	$1$	$0$
6.332447.7t7.1c1	$6$	$ 332447 $	x^7 - x^5 - x^4 + x^3 + x^2 - x - 1	$S_7$	$1$	$0$
6.334727.7t7.1c1	$6$	$ 334727 $	x^7 - x^5 - 2x^4 - x^3 + 2x^2 + x + 1	$S_7$	$1$	$0$
6.7_48313.7t7.1c1	$6$	$ 7 \cdot 48313 $	x^7 - x^4 - 2x^3 + 2x + 1	$S_7$	$1$	$0$
6.19_18413.7t7.1c1	$6$	$ 19 \cdot 18413 $	x^7 - x^6 + x^5 - x^4 + x^2 - x + 1	$S_7$	$1$	$0$
6.351587.7t7.1c1	$6$	$ 351587 $	x^7 - 2x^5 - 2x^4 + 2x^3 + 3x^2 - 1	$S_7$	$1$	$0$
6.5_53_1327.7t7.1c1	$6$	$ 5 \cdot 53 \cdot 1327 $	x^7 - x^6 - 2x^4 + x^3 + x + 1	$S_7$	$1$	$0$
6.13e2_17_127.7t7.1c1	$6$	$ 13^{2} \cdot 17 \cdot 127 $	x^7 - x^6 + 2x^4 + 2x + 1	$S_7$	$1$	$0$
6.371131.7t7.1c1	$6$	$ 371131 $	x^7 - x^4 - 2x^2 - x - 1	$S_7$	$1$	$0$
6.13_29_991.7t7.1c1	$6$	$ 13 \cdot 29 \cdot 991 $	x^7 - x^6 + x^5 - 2x^3 + 3x^2 - 2x + 1	$S_7$	$1$	$0$
6.389_967.7t7.1c1	$6$	$ 389 \cdot 967 $	x^7 - x^6 - x^4 - x^3 + x^2 + x + 1	$S_7$	$1$	$0$
6.11_89_389.7t7.1c1	$6$	$ 11 \cdot 89 \cdot 389 $	x^7 - x^5 - x^4 - x^3 + 2x + 1	$S_7$	$1$	$0$
6.382631.7t7.1c1	$6$	$ 382631 $	x^7 - x^5 + x^3 - x - 1	$S_7$	$1$	$0$
6.31_12377.7t7.1c1	$6$	$ 31 \cdot 12377 $	x^7 - x^6 + 2x^5 - 2x^4 + x^3 - x + 1	$S_7$	$1$	$0$
6.396259.7t7.1c1	$6$	$ 396259 $	x^7 - x^4 - x^3 + x + 1	$S_7$	$1$	$0$
6.499_797.7t7.1c1	$6$	$ 499 \cdot 797 $	x^7 + x^5 + x^3 - 2x^2 + x - 1	$S_7$	$1$	$0$
6.11_97_373.7t7.1c1	$6$	$ 11 \cdot 97 \cdot 373 $	x^7 - 2x^5 + 3x^3 - x^2 - x + 1	$S_7$	$1$	$0$
6.73_5507.7t7.1c1	$6$	$ 73 \cdot 5507 $	x^7 - x^6 + 2x^5 - 4x^4 + 3x^3 - 3x^2 + 2x - 1	$S_7$	$1$	$0$
6.313_1307.7t7.1c1	$6$	$ 313 \cdot 1307 $	x^7 - x^5 + 2x^3 - 2x - 1	$S_7$	$1$	$0$