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	$\chi(c)$
2.283.24t22.1c1 2.283.24t22.1c2	$2$	$ 283 $	x^8 - 3x^7 + 4x^6 - 8x^5 + 8x^4 - x^3 + 2x^2 - 3x - 1	$\textrm{GL(2,3)}$	$0$	$0$
2.331.24t22.1c1 2.331.24t22.1c2	$2$	$ 331 $	x^8 - 4x^7 + 5x^6 - x^5 - 3x^4 + 3x^3 - x - 1	$\textrm{GL(2,3)}$	$0$	$0$
2.2e3_43.24t22.1c1 2.2e3_43.24t22.1c2	$2$	$ 2^{3} \cdot 43 $	x^8 - 4x^7 + 8x^6 - 8x^5 + 6x^3 - 2x^2 - 2	$\textrm{GL(2,3)}$	$0$	$0$
2.491.24t22.1c1 2.491.24t22.1c2	$2$	$ 491 $	x^8 - 2x^7 - x^5 + 7x^3 + x - 9	$\textrm{GL(2,3)}$	$0$	$0$
2.563.24t22.1c1 2.563.24t22.1c2	$2$	$ 563 $	x^8 - 2x^7 + 3x^6 + x^5 - 4x^4 + 12x^3 - 7x^2 + 2x - 9	$\textrm{GL(2,3)}$	$0$	$0$
2.643.24t22.1c1 2.643.24t22.1c2	$2$	$ 643 $	x^8 - 2x^7 + 3x^6 + x^5 - 7x^4 + 18x^3 - 12x^2 + 4x - 1	$\textrm{GL(2,3)}$	$0$	$0$
2.2e4_43.24t22.1c1 2.2e4_43.24t22.1c2	$2$	$ 2^{4} \cdot 43 $	x^8 - 2x^7 + 4x^6 - 12x^5 + 16x^4 - 18x^3 + 10x^2 - 1	$\textrm{GL(2,3)}$	$0$	$0$
2.751.24t22.1c1 2.751.24t22.1c2	$2$	$ 751 $	x^8 - x^7 - 2x^6 + 4x^5 - 9x^4 + 17x^3 - 21x^2 + 7x - 4	$\textrm{GL(2,3)}$	$0$	$0$
2.2e3_11e2.24t22.1c1 2.2e3_11e2.24t22.1c2	$2$	$ 2^{3} \cdot 11^{2}$	x^8 + 22x^4 - 44x^3 - 44x - 99	$\textrm{GL(2,3)}$	$0$	$0$
2.3e2_109.24t22.1c1 2.3e2_109.24t22.1c2	$2$	$ 3^{2} \cdot 109 $	x^8 - 4x^7 + 10x^6 - 16x^5 + 10x^4 + 2x^3 + 10x^2 - 13x - 8	$\textrm{GL(2,3)}$	$0$	$0$
2.3e2_109.24t22.3c1 2.3e2_109.24t22.3c2	$2$	$ 3^{2} \cdot 109 $	x^8 - 3x^7 + 6x^6 - 6x^5 + 12x^3 - 18x^2 + 12x - 3	$\textrm{GL(2,3)}$	$0$	$0$
2.2e3_131.24t22.1c1 2.2e3_131.24t22.1c2	$2$	$ 2^{3} \cdot 131 $	x^8 + 4x^6 - 4x^5 + 2x^4 - 6x^3 - 4x^2 - 18x - 29	$\textrm{GL(2,3)}$	$0$	$0$
2.7_157.24t22.3c1 2.7_157.24t22.3c2	$2$	$ 7 \cdot 157 $	x^8 - 6x^6 - 5x^5 + 19x^4 + 21x^3 - 18x^2 - 36x - 5	$\textrm{GL(2,3)}$	$0$	$0$
2.7_157.24t22.1c1 2.7_157.24t22.1c2	$2$	$ 7 \cdot 157 $	x^8 - 3x^7 + 2x^6 - 3x^4 + 11x^3 - 13x^2 + 15x - 11	$\textrm{GL(2,3)}$	$0$	$0$
2.3e3_41.24t22.1c1 2.3e3_41.24t22.1c2	$2$	$ 3^{3} \cdot 41 $	x^8 + 2x^6 - 2x^5 - 3x^4 - 7x^3 - 11x^2 - 6x - 1	$\textrm{GL(2,3)}$	$0$	$0$
2.3e3_41.24t22.3c1 2.3e3_41.24t22.3c2	$2$	$ 3^{3} \cdot 41 $	x^8 - x^7 + x^6 + 5x^5 - 11x^4 + 8x^3 - 7x^2 + 4x - 1	$\textrm{GL(2,3)}$	$0$	$0$
2.2e3_3e2_17.24t22.2c1 2.2e3_3e2_17.24t22.2c2	$2$	$ 2^{3} \cdot 3^{2} \cdot 17 $	x^8 - 4x^7 - 2x^6 + 14x^5 + 16x^4 + 14x^3 - 2x^2 - 4x + 1	$\textrm{GL(2,3)}$	$0$	$0$
2.2e3_3e2_17.24t22.1c1 2.2e3_3e2_17.24t22.1c2	$2$	$ 2^{3} \cdot 3^{2} \cdot 17 $	x^8 - 6x^4 - 24x^2 - 51	$\textrm{GL(2,3)}$	$0$	$0$
2.2e3_163.24t22.1c1 2.2e3_163.24t22.1c2	$2$	$ 2^{3} \cdot 163 $	x^8 - 4x^7 + 10x^6 - 14x^5 + 4x^4 + 14x^3 + 6x^2 - 8x - 10	$\textrm{GL(2,3)}$	$0$	$0$
2.1399.24t22.1c1 2.1399.24t22.1c2	$2$	$ 1399 $	x^8 - 4x^7 + 8x^6 - 10x^5 + 4x^4 + 4x^3 - 14x^2 + 11x - 8	$\textrm{GL(2,3)}$	$0$	$0$
2.1423.24t22.1c1 2.1423.24t22.1c2	$2$	$ 1423 $	x^8 - 2x^7 + x^6 + 7x^5 - 13x^4 - 4x^3 + 23x^2 - 25x - 4	$\textrm{GL(2,3)}$	$0$	$0$
2.2e2_19e2.24t22.1c1 2.2e2_19e2.24t22.1c2	$2$	$ 2^{2} \cdot 19^{2}$	x^8 - 4x^7 + 7x^6 - 7x^5 + 2x^4 + 3x^3 + 4x^2 - 6x - 2	$\textrm{GL(2,3)}$	$0$	$0$
2.3e2_173.24t22.2c1 2.3e2_173.24t22.2c2	$2$	$ 3^{2} \cdot 173 $	x^8 - 6x^6 - 12x^5 - 12x^4 - 24x^3 - 24x^2 - 9x - 6	$\textrm{GL(2,3)}$	$0$	$0$
2.3e2_173.24t22.1c1 2.3e2_173.24t22.1c2	$2$	$ 3^{2} \cdot 173 $	x^8 - 2x^7 - 2x^6 + x^5 + 4x^4 + 10x^3 - 11x^2 - 14x - 20	$\textrm{GL(2,3)}$	$0$	$0$
2.2e3_3e2_5e2.24t22.3c1 2.2e3_3e2_5e2.24t22.3c2	$2$	$ 2^{3} \cdot 3^{2} \cdot 5^{2}$	x^8 - 4x^7 + 4x^6 - 16x^5 + 10x^4 - 16x^3 + 4x^2 - 4x + 1	$\textrm{GL(2,3)}$	$0$	$0$
2.2e3_3e2_5e2.24t22.1c1 2.2e3_3e2_5e2.24t22.1c2	$2$	$ 2^{3} \cdot 3^{2} \cdot 5^{2}$	x^8 - 6x^4 - 12x^2 - 3	$\textrm{GL(2,3)}$	$0$	$0$
2.2e3_227.24t22.1c1 2.2e3_227.24t22.1c2	$2$	$ 2^{3} \cdot 227 $	x^8 - 2x^7 - 4x^5 - 6x^4 - 10x^3 + 6x^2 + 4x - 2	$\textrm{GL(2,3)}$	$0$	$0$
2.1823.24t22.1c1 2.1823.24t22.1c2	$2$	$ 1823 $	x^8 - 4x^7 + 7x^6 - 6x^5 - 4x^4 - 3x^3 + 6x^2 - 5x - 19	$\textrm{GL(2,3)}$	$0$	$0$
2.1879.24t22.1c1 2.1879.24t22.1c2	$2$	$ 1879 $	x^8 - x^7 + 4x^6 - 7x^5 - 9x^4 - 29x^3 - 40x^2 - 35x + 1	$\textrm{GL(2,3)}$	$0$	$0$
2.2e5_59.24t22.2c1 2.2e5_59.24t22.2c2	$2$	$ 2^{5} \cdot 59 $	x^8 - 8x^6 + 14x^4 + 24x^2 - 59	$\textrm{GL(2,3)}$	$0$	$0$
2.2e5_59.24t22.1c1 2.2e5_59.24t22.1c2	$2$	$ 2^{5} \cdot 59 $	x^8 + 8x^6 + 14x^4 - 24x^2 - 59	$\textrm{GL(2,3)}$	$0$	$0$
2.1931.24t22.1c1 2.1931.24t22.1c2	$2$	$ 1931 $	x^8 - 4x^7 + 7x^6 - 5x^5 + x^4 - 18x^3 + 27x^2 + 3x - 13	$\textrm{GL(2,3)}$	$0$	$0$
2.2e4_11e2.24t22.1c1 2.2e4_11e2.24t22.1c2	$2$	$ 2^{4} \cdot 11^{2}$	x^8 - 22x^4 - 44x^2 - 11	$\textrm{GL(2,3)}$	$0$	$0$
2.2e3_3e5.24t22.1c1 2.2e3_3e5.24t22.1c2	$2$	$ 2^{3} \cdot 3^{5}$	x^8 - 6x^4 + 4x^2 - 3	$\textrm{GL(2,3)}$	$0$	$0$
2.2e2_523.24t22.1c1 2.2e2_523.24t22.1c2	$2$	$ 2^{2} \cdot 523 $	x^8 - 4x^7 + 3x^6 - x^5 + 11x^4 - 9x^3 + 2x^2 - 9x - 2	$\textrm{GL(2,3)}$	$0$	$0$
2.2e4_131.24t22.1c1 2.2e4_131.24t22.1c2	$2$	$ 2^{4} \cdot 131 $	x^8 - 2x^7 - 6x^6 + 28x^5 - 44x^4 + 38x^3 - 8x^2 - 4x - 1	$\textrm{GL(2,3)}$	$0$	$0$
2.3e2_239.24t22.2c1 2.3e2_239.24t22.2c2	$2$	$ 3^{2} \cdot 239 $	x^8 - 4x^7 + 4x^6 + 2x^5 - 8x^4 + 8x^3 + 10x^2 - 13x - 5	$\textrm{GL(2,3)}$	$0$	$0$
2.3e2_239.24t22.1c1 2.3e2_239.24t22.1c2	$2$	$ 3^{2} \cdot 239 $	x^8 - 3x^7 - 8x^6 + 21x^5 + 21x^4 - 33x^3 - 14x^2 + 39x - 8	$\textrm{GL(2,3)}$	$0$	$0$
2.37_59.24t22.1c1 2.37_59.24t22.1c2	$2$	$ 37 \cdot 59 $	x^8 - x^7 - 8x^6 + 15x^5 + 20x^4 - 46x^3 - 17x^2 + 74x - 37	$\textrm{GL(2,3)}$	$0$	$0$
2.37_59.24t22.3c1 2.37_59.24t22.3c2	$2$	$ 37 \cdot 59 $	x^8 - x^7 - 5x^6 - x^5 + 12x^4 + 18x^3 - 15x^2 - 27x + 4	$\textrm{GL(2,3)}$	$0$	$0$
2.2243.24t22.1c1 2.2243.24t22.1c2	$2$	$ 2243 $	x^8 - 6x^6 - 9x^5 + 11x^4 + 35x^3 + 4x^2 - 74x - 85	$\textrm{GL(2,3)}$	$0$	$0$
2.2e2_571.24t22.1c1 2.2e2_571.24t22.1c2	$2$	$ 2^{2} \cdot 571 $	x^8 - 4x^7 + 9x^6 - 13x^5 + 11x^4 - 5x^3 + 2x^2 - x - 2	$\textrm{GL(2,3)}$	$0$	$0$
2.2e7_19.24t22.4c1 2.2e7_19.24t22.4c2	$2$	$ 2^{7} \cdot 19 $	x^8 - 8x^6 + 22x^4 - 16x^2 - 19	$\textrm{GL(2,3)}$	$0$	$0$
2.2e7_19.24t22.2c1 2.2e7_19.24t22.2c2	$2$	$ 2^{7} \cdot 19 $	x^8 - 12x^4 + 16x^2 - 76	$\textrm{GL(2,3)}$	$0$	$0$
2.2e7_19.24t22.1c1 2.2e7_19.24t22.1c2	$2$	$ 2^{7} \cdot 19 $	x^8 - 12x^4 - 16x^2 - 76	$\textrm{GL(2,3)}$	$0$	$0$
2.2e7_19.24t22.5c1 2.2e7_19.24t22.5c2	$2$	$ 2^{7} \cdot 19 $	x^8 + 8x^6 + 22x^4 + 16x^2 - 19	$\textrm{GL(2,3)}$	$0$	$0$
2.2e4_3e2_17.24t22.3c1 2.2e4_3e2_17.24t22.3c2	$2$	$ 2^{4} \cdot 3^{2} \cdot 17 $	x^8 - 12x^6 + 42x^4 + 72x^2 - 51	$\textrm{GL(2,3)}$	$0$	$0$
2.2e4_3e2_17.24t22.1c1 2.2e4_3e2_17.24t22.1c2	$2$	$ 2^{4} \cdot 3^{2} \cdot 17 $	x^8 + 12x^6 - 6x^4 - 48x^2 - 51	$\textrm{GL(2,3)}$	$0$	$0$
2.3e2_283.24t22.1c1 2.3e2_283.24t22.1c2	$2$	$ 3^{2} \cdot 283 $	x^8 - x^7 - 6x^6 + 8x^5 + 42x^4 - 118x^3 + 95x^2 + 57x - 119	$\textrm{GL(2,3)}$	$0$	$0$
2.11_233.24t22.2c1 2.11_233.24t22.2c2	$2$	$ 11 \cdot 233 $	x^8 - 3x^7 + 7x^6 + 5x^5 - 31x^4 + 70x^3 - 68x^2 + 43x - 11	$\textrm{GL(2,3)}$	$0$	$0$