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	$\chi(c)$
2.3_13.4t3.2c1	$2$	$ 3 \cdot 13 $	x^4 - x^3 - x^2 + x + 1	$D_{4}$	$1$	$0$
2.5_11.4t3.1c1	$2$	$ 5 \cdot 11 $	x^4 - x^3 + 2x - 1	$D_{4}$	$1$	$0$
2.2e3_7.4t3.2c1	$2$	$ 2^{3} \cdot 7 $	x^4 - x^3 + x + 1	$D_{4}$	$1$	$0$
2.3e2_7.4t3.2c1	$2$	$ 3^{2} \cdot 7 $	x^4 - x^3 + 2x + 1	$D_{4}$	$1$	$0$
2.2e2_17.4t3.1c1	$2$	$ 2^{2} \cdot 17 $	x^4 + x^2 - 2x + 1	$D_{4}$	$1$	$0$
2.2e4_5.4t3.2c1	$2$	$ 2^{4} \cdot 5 $	x^4 - 2x^3 + 2	$D_{4}$	$1$	$0$
2.5_19.4t3.1c1	$2$	$ 5 \cdot 19 $	x^4 - 2x^3 + 2x^2 - x - 1	$D_{4}$	$1$	$0$
2.3_37.4t3.2c1	$2$	$ 3 \cdot 37 $	x^4 - x^3 - 2x^2 + 3	$D_{4}$	$1$	$0$
2.2e7.4t3.2c1	$2$	$ 2^{7}$	x^4 - 2x^2 + 2	$D_{4}$	$1$	$0$
2.2e3_17.4t3.3c1	$2$	$ 2^{3} \cdot 17 $	x^4 - 2x^3 + x^2 - 2x + 3	$D_{4}$	$1$	$0$
2.2e3_17.4t3.2c1	$2$	$ 2^{3} \cdot 17 $	x^4 - 2x^3 + 5x^2 - 4x + 2	$D_{4}$	$1$	$-2$
2.2e4_3e2.4t3.2c1	$2$	$ 2^{4} \cdot 3^{2}$	x^4 - 3x^2 + 3	$D_{4}$	$1$	$0$
2.5_29.4t3.2c1	$2$	$ 5 \cdot 29 $	x^4 - x^3 - 3x^2 + x + 1	$D_{4}$	$1$	$2$
2.5_31.4t3.1c1	$2$	$ 5 \cdot 31 $	x^4 - x^3 - 3x - 1	$D_{4}$	$1$	$0$
2.2e2_41.4t3.2c1	$2$	$ 2^{2} \cdot 41 $	x^4 - 2x^3 - x^2 + 2x + 2	$D_{4}$	$1$	$0$
2.3e2_19.4t3.2c1	$2$	$ 3^{2} \cdot 19 $	x^4 - x^3 - 3x^2 + 2x + 4	$D_{4}$	$1$	$0$
2.3_61.4t3.2c1	$2$	$ 3 \cdot 61 $	x^4 - 2x^3 - 2x^2 + 3x + 3	$D_{4}$	$1$	$0$
2.2e3_23.4t3.1c1	$2$	$ 2^{3} \cdot 23 $	x^4 - 2x^3 + 3x^2 - 2x - 1	$D_{4}$	$1$	$0$
2.2e2_7e2.4t3.2c1	$2$	$ 2^{2} \cdot 7^{2}$	x^4 - x^3 + 3x^2 - 4x + 2	$D_{4}$	$1$	$0$
2.7_29.4t3.1c1	$2$	$ 7 \cdot 29 $	x^4 - 2x^3 + 2x^2 - x + 2	$D_{4}$	$1$	$0$
2.5_41.4t3.2c1	$2$	$ 5 \cdot 41 $	x^4 - x^3 + 3x^2 - 2x + 4	$D_{4}$	$1$	$-2$
2.2e4_13.4t3.2c1	$2$	$ 2^{4} \cdot 13 $	x^4 - 2x^3 - 2x + 5	$D_{4}$	$1$	$0$
2.3_73.4t3.2c1	$2$	$ 3 \cdot 73 $	x^4 - x^3 + 5x^2 - 2x + 4	$D_{4}$	$1$	$0$
2.13_17.4t3.2c1	$2$	$ 13 \cdot 17 $	x^4 - x^3 + x^2 - 2x + 4	$D_{4}$	$1$	$-2$
2.2e5_7.4t3.2c1	$2$	$ 2^{5} \cdot 7 $	x^4 - x^2 + 2	$D_{4}$	$1$	$0$
2.2e3_31.4t3.1c1	$2$	$ 2^{3} \cdot 31 $	x^4 - 2x^3 + x^2 - 2	$D_{4}$	$1$	$0$
2.2e8.4t3.1c1	$2$	$ 2^{8}$	x^4 - 2	$D_{4}$	$1$	$0$
2.7_37.4t3.2c1	$2$	$ 7 \cdot 37 $	x^4 - 2x^3 + x + 2	$D_{4}$	$1$	$0$
2.2e2_5_13.4t3.3c1	$2$	$ 2^{2} \cdot 5 \cdot 13 $	x^4 + x^2 - 4x + 4	$D_{4}$	$1$	$0$
2.2e2_5_13.4t3.4c1	$2$	$ 2^{2} \cdot 5 \cdot 13 $	x^4 - 3x^2 - 2x + 5	$D_{4}$	$1$	$0$
2.2e3_3_11.4t3.2c1	$2$	$ 2^{3} \cdot 3 \cdot 11 $	x^4 - 2x^3 + 5x^2 - 2x + 1	$D_{4}$	$1$	$0$
2.2e3_3_11.4t3.3c1	$2$	$ 2^{3} \cdot 3 \cdot 11 $	x^4 - 2x^3 + x^2 + 2	$D_{4}$	$1$	$0$
2.5e2_11.4t3.1c1	$2$	$ 5^{2} \cdot 11 $	x^4 - x^3 + x^2 + 4x - 4	$D_{4}$	$1$	$0$
2.2e2_3_23.4t3.1c1	$2$	$ 2^{2} \cdot 3 \cdot 23 $	x^4 - 2x^3 - x^2 + 2x - 2	$D_{4}$	$1$	$0$
2.2e2_3_23.4t3.2c1	$2$	$ 2^{2} \cdot 3 \cdot 23 $	x^4 + x^2 - 6x + 1	$D_{4}$	$1$	$0$
2.3e2_31.4t3.2c1	$2$	$ 3^{2} \cdot 31 $	x^4 - x^3 - 3x^2 - x + 7	$D_{4}$	$1$	$0$
2.3_97.4t3.2c1	$2$	$ 3 \cdot 97 $	x^4 - x^3 - 4x^2 + x + 7	$D_{4}$	$1$	$0$
2.2e2_73.4t3.2c1	$2$	$ 2^{2} \cdot 73 $	x^4 - x^2 - 4x + 5	$D_{4}$	$1$	$0$
2.5_59.4t3.1c1	$2$	$ 5 \cdot 59 $	x^4 - x^3 - x^2 + 5x - 5	$D_{4}$	$1$	$0$
2.13_23.4t3.1c1	$2$	$ 13 \cdot 23 $	x^4 - x^3 + 5x - 1	$D_{4}$	$1$	$0$
2.5_61.4t3.2c1	$2$	$ 5 \cdot 61 $	x^4 - 2x^3 + 6x^2 - 5x + 5	$D_{4}$	$1$	$-2$
2.2e2_7_11.4t3.4c1	$2$	$ 2^{2} \cdot 7 \cdot 11 $	x^4 - x^3 - 2x^2 + 2x + 4	$D_{4}$	$1$	$0$
2.2e2_7_11.4t3.3c1	$2$	$ 2^{2} \cdot 7 \cdot 11 $	x^4 - x^3 + x^2 + 4x + 2	$D_{4}$	$1$	$0$
2.2e6_5.4t3.2c1	$2$	$ 2^{6} \cdot 5 $	x^4 - 4x^2 + 5	$D_{4}$	$1$	$0$
2.17_19.4t3.1c1	$2$	$ 17 \cdot 19 $	x^4 - 2x^3 - 2x^2 + 3x - 2	$D_{4}$	$1$	$0$
2.3_109.4t3.2c1	$2$	$ 3 \cdot 109 $	x^4 - x^3 - 4x^2 + 4x + 7	$D_{4}$	$1$	$0$
2.2e3_41.4t3.4c1	$2$	$ 2^{3} \cdot 41 $	x^4 - 2x^3 + 3x^2 - 2x + 3	$D_{4}$	$1$	$0$
2.2e3_41.4t3.2c1	$2$	$ 2^{3} \cdot 41 $	x^4 - 2x^3 - 3x^2 + 2x + 1	$D_{4}$	$1$	$2$
2.2e4_3_7.4t3.2c1	$2$	$ 2^{4} \cdot 3 \cdot 7 $	x^4 - 5x^2 + 7	$D_{4}$	$1$	$0$
2.2e4_3_7.4t3.3c1	$2$	$ 2^{4} \cdot 3 \cdot 7 $	x^4 + 5x^2 + 7	$D_{4}$	$1$	$0$