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	$\chi(c)$
3.7e2_19e2.42t37.1c1 3.7e2_19e2.42t37.1c2	$3$	$ 7^{2} \cdot 19^{2}$	x^7 - x^6 + x^5 + x^4 - 3x^3 + 5x^2 - 2x - 1	$\GL(3,2)$	$0$	$-1$
3.2e3_61e2.42t37.1c1 3.2e3_61e2.42t37.1c2	$3$	$ 2^{3} \cdot 61^{2}$	x^7 - 2x^6 - 4x^5 + 6x^4 + 8x^3 - 22x^2 + 16x - 2	$\GL(3,2)$	$0$	$-1$
3.2e4_53e2.42t37.1c1 3.2e4_53e2.42t37.1c2	$3$	$ 2^{4} \cdot 53^{2}$	x^7 - 7x^5 - 10x^4 + 3x^3 + 3x + 2	$\GL(3,2)$	$0$	$-1$
3.2e3_3e2_11e3.42t37.1c1 3.2e3_3e2_11e3.42t37.1c2	$3$	$ 2^{3} \cdot 3^{2} \cdot 11^{3}$	x^7 - x^6 - 9x^5 - x^4 + 19x^3 + 21x^2 - 23x - 13	$\GL(3,2)$	$0$	$-1$
3.3e4_7e4.42t37.1c1 3.3e4_7e4.42t37.1c2	$3$	$ 3^{4} \cdot 7^{4}$	x^7 - 7x^4 - 21x^3 + 21x^2 + 42x - 9	$\GL(3,2)$	$0$	$-1$
3.2e3_3e2_53e2.42t37.1c1 3.2e3_3e2_53e2.42t37.1c2	$3$	$ 2^{3} \cdot 3^{2} \cdot 53^{2}$	x^7 - 2x^6 - 4x^5 + 10x^3 + 4x^2 - 10x - 6	$\GL(3,2)$	$0$	$-1$
3.3e2_5e2_11e3.42t37.1c1 3.3e2_5e2_11e3.42t37.1c2	$3$	$ 3^{2} \cdot 5^{2} \cdot 11^{3}$	x^7 - x^6 - 9x^5 + 21x^4 - 3x^3 - 23x^2 + 10x + 9	$\GL(3,2)$	$0$	$-1$
3.2e8_11e3.42t37.1c1 3.2e8_11e3.42t37.1c2	$3$	$ 2^{8} \cdot 11^{3}$	x^7 - x^6 + 2x^5 - 12x^4 - 14x^3 + 10x^2 + 10x - 2	$\GL(3,2)$	$0$	$-1$
3.2e4_3e2_7e4.42t37.1c1 3.2e4_3e2_7e4.42t37.1c2	$3$	$ 2^{4} \cdot 3^{2} \cdot 7^{4}$	x^7 - 7x^5 + 21x^3 - 14x^2 - 7x + 4	$\GL(3,2)$	$0$	$-1$
3.2e3_7e2_31e2.42t37.1c1 3.2e3_7e2_31e2.42t37.1c2	$3$	$ 2^{3} \cdot 7^{2} \cdot 31^{2}$	x^7 + 2x^5 - 12x^3 - 2x^2 + 6x - 2	$\GL(3,2)$	$0$	$-1$
3.2e4_5e2_11e3.42t37.1c1 3.2e4_5e2_11e3.42t37.1c2	$3$	$ 2^{4} \cdot 5^{2} \cdot 11^{3}$	x^7 - x^6 - 9x^5 - x^4 + 8x^3 - 12x^2 - 12x - 2	$\GL(3,2)$	$0$	$-1$
3.2e8_7e4.42t37.1c1 3.2e8_7e4.42t37.1c2	$3$	$ 2^{8} \cdot 7^{4}$	x^7 - 7x^5 - 14x^4 - 7x^3 - 7x + 2	$\GL(3,2)$	$0$	$-1$
3.2e3_317e2.42t37.1c1 3.2e3_317e2.42t37.1c2	$3$	$ 2^{3} \cdot 317^{2}$	x^7 - 2x^6 + 2x^4 - 2x^3 + 2x^2 - 2	$\GL(3,2)$	$0$	$-1$
3.11e3_31e2.42t37.1c1 3.11e3_31e2.42t37.1c2	$3$	$ 11^{3} \cdot 31^{2}$	x^7 - 11x^5 - 22x^4 + 33x^2 + 33x + 11	$\GL(3,2)$	$0$	$-1$
3.2e3_443e2.42t37.1c1 3.2e3_443e2.42t37.1c2	$3$	$ 2^{3} \cdot 443^{2}$	x^7 - 3x^6 + x^5 + 3x^4 - x^3 + x^2 - 3x - 1	$\GL(3,2)$	$0$	$-1$
3.2e3_457e2.42t37.1c1 3.2e3_457e2.42t37.1c2	$3$	$ 2^{3} \cdot 457^{2}$	x^7 - 2x^6 + 2x^5 + 2x^4 - 4x^3 + 4x^2 - 4	$\GL(3,2)$	$0$	$-1$
3.13e2_109e2.42t37.1c1 3.13e2_109e2.42t37.1c2	$3$	$ 13^{2} \cdot 109^{2}$	x^7 - 2x^6 - x^5 + 4x^4 - 3x^2 - x + 1	$\GL(3,2)$	$0$	$-1$
3.2e3_521e2.42t37.1c1 3.2e3_521e2.42t37.1c2	$3$	$ 2^{3} \cdot 521^{2}$	x^7 - 3x^6 + 5x^5 - 7x^4 + 5x^3 - 3x^2 - x + 1	$\GL(3,2)$	$0$	$-1$
3.3e4_197e2.42t37.1c1 3.3e4_197e2.42t37.1c2	$3$	$ 3^{4} \cdot 197^{2}$	x^7 - 6x^5 - 6x^4 + 3x^3 + 6x^2 + 2x - 3	$\GL(3,2)$	$0$	$-1$
3.2e3_5e2_127e2.42t37.1c1 3.2e3_5e2_127e2.42t37.1c2	$3$	$ 2^{3} \cdot 5^{2} \cdot 127^{2}$	x^7 - x^6 - 3x^5 + 7x^4 - 7x^3 - x^2 + 3x - 1	$\GL(3,2)$	$0$	$-1$
3.2e3_661e2.42t37.1c1 3.2e3_661e2.42t37.1c2	$3$	$ 2^{3} \cdot 661^{2}$	x^7 - x^6 + x^5 + 3x^4 - 5x^3 + 7x^2 - 5x + 1	$\GL(3,2)$	$0$	$-1$
3.2e4_491e2.42t37.1c1 3.2e4_491e2.42t37.1c2	$3$	$ 2^{4} \cdot 491^{2}$	x^7 - 3x^6 + 7x^5 - 5x^4 + x^3 + 7x^2 - 3x - 1	$\GL(3,2)$	$0$	$-1$
3.2e3_821e2.42t37.1c1 3.2e3_821e2.42t37.1c2	$3$	$ 2^{3} \cdot 821^{2}$	x^7 - 2x^5 - 4x^4 + 4x^2 - 4x - 2	$\GL(3,2)$	$0$	$-1$
3.2741e2.42t37.1c1 3.2741e2.42t37.1c2	$3$	$ 2741^{2}$	x^7 - x^6 - 4x^5 + x^4 + 4x^3 - 3x + 1	$\GL(3,2)$	$0$	$-1$
3.2e3_971e2.42t37.1c1 3.2e3_971e2.42t37.1c2	$3$	$ 2^{3} \cdot 971^{2}$	x^7 - 2x^6 - 2x^5 + 4x^4 - 4x^2 + 2x + 2	$\GL(3,2)$	$0$	$-1$
3.2e3_1013e2.42t37.1c1 3.2e3_1013e2.42t37.1c2	$3$	$ 2^{3} \cdot 1013^{2}$	x^7 - 2x^6 + 2x^5 - 8x^4 + 16x^3 - 16x^2 + 10x - 2	$\GL(3,2)$	$0$	$-1$
3.2e3_3e2_347e2.42t37.1c1 3.2e3_3e2_347e2.42t37.1c2	$3$	$ 2^{3} \cdot 3^{2} \cdot 347^{2}$	x^7 - 3x^6 + 3x^5 + x^4 - 9x^3 + 9x^2 - 3x + 3	$\GL(3,2)$	$0$	$-1$
3.2e4_743e2.42t37.1c1 3.2e4_743e2.42t37.1c2	$3$	$ 2^{4} \cdot 743^{2}$	x^7 - x^6 + x^5 + 5x^4 - 6x^3 + 4x^2 + 8x - 8	$\GL(3,2)$	$0$	$-1$
3.2e6_383e2.42t37.1c1 3.2e6_383e2.42t37.1c2	$3$	$ 2^{6} \cdot 383^{2}$	x^7 - x^6 + 2x^5 + 2x^4 - 5x^3 + 7x^2 - 5x + 1	$\GL(3,2)$	$0$	$-1$
3.2e3_1103e2.42t37.1c1 3.2e3_1103e2.42t37.1c2	$3$	$ 2^{3} \cdot 1103^{2}$	x^7 - x^6 + 3x^5 + 3x^4 - 5x^3 + 9x^2 - 7x + 1	$\GL(3,2)$	$0$	$-1$
3.2e4_797e2.42t37.1c1 3.2e4_797e2.42t37.1c2	$3$	$ 2^{4} \cdot 797^{2}$	x^7 - x^6 - 2x^5 + 8x^2 - 4x - 4	$\GL(3,2)$	$0$	$-1$
3.5e2_653e2.42t37.1c1 3.5e2_653e2.42t37.1c2	$3$	$ 5^{2} \cdot 653^{2}$	x^7 - 3x^6 + 3x^5 + 6x^4 - 17x^3 + 6x^2 + 16x - 8	$\GL(3,2)$	$0$	$-1$
3.2e3_1193e2.42t37.1c1 3.2e3_1193e2.42t37.1c2	$3$	$ 2^{3} \cdot 1193^{2}$	x^7 - x^6 - 3x^5 + 11x^4 - x^3 - 7x^2 + x + 1	$\GL(3,2)$	$0$	$-1$
3.2e3_1237e2.42t37.1c1 3.2e3_1237e2.42t37.1c2	$3$	$ 2^{3} \cdot 1237^{2}$	x^7 + 2x^5 - 12x^4 + 10x^3 - 14x^2 + 10x - 2	$\GL(3,2)$	$0$	$-1$
3.2e4_19e2_47e2.42t37.1c1 3.2e4_19e2_47e2.42t37.1c2	$3$	$ 2^{4} \cdot 19^{2} \cdot 47^{2}$	x^7 - 12x^5 + 31x^3 - 14x^2 - 8x + 4	$\GL(3,2)$	$0$	$3$
3.2e4_937e2.42t37.1c1 3.2e4_937e2.42t37.1c2	$3$	$ 2^{4} \cdot 937^{2}$	x^7 - x^6 + 3x^5 - 5x^4 + 5x^3 + 7x^2 - x - 1	$\GL(3,2)$	$0$	$-1$
3.11e3_103e2.42t37.1c1 3.11e3_103e2.42t37.1c2	$3$	$ 11^{3} \cdot 103^{2}$	x^7 - x^6 + 2x^5 - x^4 - 14x^3 - x^2 - 23x - 24	$\GL(3,2)$	$0$	$-1$
3.3803e2.42t37.1c1 3.3803e2.42t37.1c2	$3$	$ 3803^{2}$	x^7 - 3x^6 + 3x^5 + 3x^4 - 13x^3 + 17x^2 - 10x + 1	$\GL(3,2)$	$0$	$-1$
3.5e2_13e2_59e2.42t37.1c1 3.5e2_13e2_59e2.42t37.1c2	$3$	$ 5^{2} \cdot 13^{2} \cdot 59^{2}$	x^7 - 3x^6 - x^5 + 5x^4 - 2x^3 - 5x^2 + 17x - 7	$\GL(3,2)$	$0$	$-1$
3.5e2_769e2.42t37.1c1 3.5e2_769e2.42t37.1c2	$3$	$ 5^{2} \cdot 769^{2}$	x^7 - x^6 + x^5 - 2x^3 + 5x^2 - 2x - 1	$\GL(3,2)$	$0$	$-1$
3.7e2_569e2.42t37.1c1 3.7e2_569e2.42t37.1c2	$3$	$ 7^{2} \cdot 569^{2}$	x^7 - x^6 + x^5 - 4x^4 + 4x^3 - 5x^2 + 2x + 1	$\GL(3,2)$	$0$	$-1$
3.2e8_251e2.42t37.1c1 3.2e8_251e2.42t37.1c2	$3$	$ 2^{8} \cdot 251^{2}$	x^7 - 3x^6 + x^5 + 3x^4 - 2x^3 + 2x^2 - 2x - 2	$\GL(3,2)$	$0$	$-1$
3.4157e2.42t37.1c1 3.4157e2.42t37.1c2	$3$	$ 4157^{2}$	x^7 - x^6 - 4x^5 + x^4 + 8x^3 + x^2 - 4x - 1	$\GL(3,2)$	$0$	$-1$
3.2e4_1049e2.42t37.1c1 3.2e4_1049e2.42t37.1c2	$3$	$ 2^{4} \cdot 1049^{2}$	x^7 - 3x^6 + x^5 + 3x^4 - 4x^3 + 4x^2 - 4	$\GL(3,2)$	$0$	$-1$
3.11e2_401e2.42t37.1c1 3.11e2_401e2.42t37.1c2	$3$	$ 11^{2} \cdot 401^{2}$	x^7 - 3x^6 + 5x^4 - 2x^3 - 2x^2 + 4x - 1	$\GL(3,2)$	$0$	$-1$
3.3e4_491e2.42t37.1c1 3.3e4_491e2.42t37.1c2	$3$	$ 3^{4} \cdot 491^{2}$	x^7 - 2x^6 + 3x^4 - 3x^3 + 3x^2 - 4x - 1	$\GL(3,2)$	$0$	$-1$
3.5e2_887e2.42t37.1c1 3.5e2_887e2.42t37.1c2	$3$	$ 5^{2} \cdot 887^{2}$	x^7 - x^6 - x^5 - 15x^4 - 11x^2 + x + 1	$\GL(3,2)$	$0$	$-1$
3.2e3_31e2_53e2.42t37.1c1 3.2e3_31e2_53e2.42t37.1c2	$3$	$ 2^{3} \cdot 31^{2} \cdot 53^{2}$	x^7 - 2x^6 - 2x^5 + 4x^4 - 2x^2 + 4x - 2	$\GL(3,2)$	$0$	$-1$
3.4877e2.42t37.1c1 3.4877e2.42t37.1c2	$3$	$ 4877^{2}$	x^7 - 3x^6 + 5x^5 - 3x^4 + 2x^2 - 5x + 1	$\GL(3,2)$	$0$	$-1$
3.2e3_1733e2.42t37.1c1 3.2e3_1733e2.42t37.1c2	$3$	$ 2^{3} \cdot 1733^{2}$	x^7 - 4x^5 - 2x^4 - 4x^3 - 8x^2 - 4x - 4	$\GL(3,2)$	$0$	$-1$