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	$\chi(c)$
1.101.2t1.1c1	$1$	$ 101 $	x^2 - x - 25	$C_2$	$1$	$1$
1.101.4t1.1c1 1.101.4t1.1c2	$1$	$ 101 $	x^4 - x^3 + 13x^2 - 19x + 361	$C_4$	$0$	$-1$
1.101.5t1.1c1 1.101.5t1.1c2 1.101.5t1.1c3 1.101.5t1.1c4	$1$	$ 101 $	x^5 - x^4 - 40x^3 - 93x^2 - 21x + 17	$C_5$	$0$	$1$
1.103.2t1.1c1	$1$	$ 103 $	x^2 - x + 26	$C_2$	$1$	$-1$
1.103.3t1.1c1 1.103.3t1.1c2	$1$	$ 103 $	x^3 - x^2 - 34x + 61	$C_3$	$0$	$1$
1.103.6t1.1c1 1.103.6t1.1c2	$1$	$ 103 $	x^6 - x^5 + 9x^4 + 101x^3 + 129x^2 - 91x + 1373	$C_6$	$0$	$-1$
1.2e3_13.2t1.2c1	$1$	$ 2^{3} \cdot 13 $	x^2 + 26	$C_2$	$1$	$-1$
1.2e3_13.2t1.1c1	$1$	$ 2^{3} \cdot 13 $	x^2 - 26	$C_2$	$1$	$1$
1.2e3_13.4t1.1c1 1.2e3_13.4t1.1c2	$1$	$ 2^{3} \cdot 13 $	x^4 - 26x^2 + 52	$C_4$	$0$	$1$
1.2e3_13.4t1.2c1 1.2e3_13.4t1.2c2	$1$	$ 2^{3} \cdot 13 $	x^4 + 26x^2 + 52	$C_4$	$0$	$-1$
1.2e3_13.6t1.2c1 1.2e3_13.6t1.2c2	$1$	$ 2^{3} \cdot 13 $	x^6 - 2x^5 - 13x^4 + 14x^3 + 26x^2 - 28x + 1	$C_6$	$0$	$1$
1.2e3_13.6t1.3c1 1.2e3_13.6t1.3c2	$1$	$ 2^{3} \cdot 13 $	x^6 - 2x^5 - x^4 - 2x^3 + 34x^2 + 28x + 73	$C_6$	$0$	$-1$
1.2e3_13.6t1.1c1 1.2e3_13.6t1.1c2	$1$	$ 2^{3} \cdot 13 $	x^6 - 26x^4 + 104x^2 - 104	$C_6$	$0$	$1$
1.2e3_13.6t1.4c1 1.2e3_13.6t1.4c2	$1$	$ 2^{3} \cdot 13 $	x^6 + 26x^4 + 104x^2 + 104	$C_6$	$0$	$-1$
1.3_5_7.2t1.1c1	$1$	$ 3 \cdot 5 \cdot 7 $	x^2 - x - 26	$C_2$	$1$	$1$
1.3_5_7.4t1.1c1 1.3_5_7.4t1.1c2	$1$	$ 3 \cdot 5 \cdot 7 $	x^4 - x^3 + 26x^2 - 26x + 151	$C_4$	$0$	$-1$
1.3_5_7.6t1.2c1 1.3_5_7.6t1.2c2	$1$	$ 3 \cdot 5 \cdot 7 $	x^6 - x^5 + 7x^4 - 5x^3 + 49x^2 - 9x + 139	$C_6$	$0$	$-1$
1.3_5_7.6t1.1c1 1.3_5_7.6t1.1c2	$1$	$ 3 \cdot 5 \cdot 7 $	x^6 - x^5 - 27x^4 + 27x^3 + 197x^2 - 197x - 251	$C_6$	$0$	$1$
1.107.2t1.1c1	$1$	$ 107 $	x^2 - x + 27	$C_2$	$1$	$-1$
1.2e2_3e3.18t1.1c1 1.2e2_3e3.18t1.1c2 1.2e2_3e3.18t1.1c3 1.2e2_3e3.18t1.1c4 1.2e2_3e3.18t1.1c5 1.2e2_3e3.18t1.1c6	$1$	$ 2^{2} \cdot 3^{3}$	x^18 + 18x^16 + 135x^14 + 546x^12 + 1287x^10 + 1782x^8 + 1386x^6 + 540x^4 + 81x^2 + 1	$C_{18}$	$0$	$-1$
1.109.2t1.1c1	$1$	$ 109 $	x^2 - x - 27	$C_2$	$1$	$1$
1.109.3t1.1c1 1.109.3t1.1c2	$1$	$ 109 $	x^3 - x^2 - 36x + 4	$C_3$	$0$	$1$
1.109.4t1.1c1 1.109.4t1.1c2	$1$	$ 109 $	x^4 - x^3 + 14x^2 + 34x + 393	$C_4$	$0$	$-1$
1.109.6t1.1c1 1.109.6t1.1c2	$1$	$ 109 $	x^6 - x^5 - 45x^4 + 10x^3 + 135x^2 - 9x - 27	$C_6$	$0$	$1$
1.109.9t1.1c1 1.109.9t1.1c2 1.109.9t1.1c3 1.109.9t1.1c4 1.109.9t1.1c5 1.109.9t1.1c6	$1$	$ 109 $	x^9 - x^8 - 48x^7 + 73x^6 + 660x^5 - 1454x^4 - 2149x^3 + 8350x^2 - 7432x + 2008	$C_9$	$0$	$1$
1.3_37.2t1.1c1	$1$	$ 3 \cdot 37 $	x^2 - x + 28	$C_2$	$1$	$-1$
1.3_37.4t1.1c1 1.3_37.4t1.1c2	$1$	$ 3 \cdot 37 $	x^4 - x^3 - 32x^2 + 30x + 123	$C_4$	$0$	$1$
1.3_37.6t1.1c1 1.3_37.6t1.1c2	$1$	$ 3 \cdot 37 $	x^6 - x^5 + 13x^4 + 34x^3 + 133x^2 + 132x + 121	$C_6$	$0$	$-1$
1.3_37.6t1.2c1 1.3_37.6t1.2c2	$1$	$ 3 \cdot 37 $	x^6 - x^5 + 22x^4 - 83x^3 + 52x^2 + 36x + 184	$C_6$	$0$	$-1$
1.2e4_7.4t1.1c1 1.2e4_7.4t1.1c2	$1$	$ 2^{4} \cdot 7 $	x^4 - 28x^2 + 98	$C_4$	$0$	$1$
1.2e4_7.4t1.2c1 1.2e4_7.4t1.2c2	$1$	$ 2^{4} \cdot 7 $	x^4 + 28x^2 + 98	$C_4$	$0$	$-1$
1.113.2t1.1c1	$1$	$ 113 $	x^2 - x - 28	$C_2$	$1$	$1$
1.113.4t1.1c1 1.113.4t1.1c2	$1$	$ 113 $	x^4 - x^3 - 42x^2 + 120x - 64	$C_4$	$0$	$1$
1.113.7t1.1c1 1.113.7t1.1c2 1.113.7t1.1c3 1.113.7t1.1c4 1.113.7t1.1c5 1.113.7t1.1c6	$1$	$ 113 $	x^7 - x^6 - 48x^5 - 37x^4 + 312x^3 + 12x^2 - 49x + 1	$C_7$	$0$	$1$
1.113.8t1.1c1 1.113.8t1.1c2 1.113.8t1.1c3 1.113.8t1.1c4	$1$	$ 113 $	x^8 - x^7 - 49x^6 - 16x^5 + 511x^4 + 367x^3 - 1499x^2 - 798x + 1372	$C_8$	$0$	$1$
1.5_23.2t1.1c1	$1$	$ 5 \cdot 23 $	x^2 - x + 29	$C_2$	$1$	$-1$
1.5_23.4t1.1c1 1.5_23.4t1.1c2	$1$	$ 5 \cdot 23 $	x^4 - x^3 - 29x^2 + 29x + 151	$C_4$	$0$	$1$
1.2e2_29.2t1.1c1	$1$	$ 2^{2} \cdot 29 $	x^2 + 29	$C_2$	$1$	$-1$
1.2e2_29.4t1.1c1 1.2e2_29.4t1.1c2	$1$	$ 2^{2} \cdot 29 $	x^4 - 29x^2 + 29	$C_4$	$0$	$1$
1.2e2_29.14t1.1c1 1.2e2_29.14t1.1c2 1.2e2_29.14t1.1c3 1.2e2_29.14t1.1c4 1.2e2_29.14t1.1c5 1.2e2_29.14t1.1c6	$1$	$ 2^{2} \cdot 29 $	x^14 + 29x^12 + 290x^10 + 1247x^8 + 2262x^6 + 1566x^4 + 377x^2 + 29	$C_{14}$	$0$	$-1$
1.3e2_13.3t1.2c1 1.3e2_13.3t1.2c2	$1$	$ 3^{2} \cdot 13 $	x^3 - 39x - 26	$C_3$	$0$	$1$
1.3e2_13.3t1.1c1 1.3e2_13.3t1.1c2	$1$	$ 3^{2} \cdot 13 $	x^3 - 39x - 91	$C_3$	$0$	$1$
1.3e2_13.6t1.2c1 1.3e2_13.6t1.2c2	$1$	$ 3^{2} \cdot 13 $	x^6 - 3x^5 - 12x^4 + 27x^3 + 21x^2 - 48x + 17	$C_6$	$0$	$1$
1.3e2_13.6t1.3c1 1.3e2_13.6t1.3c2	$1$	$ 3^{2} \cdot 13 $	x^6 + 18x^4 - 10x^3 + 81x^2 - 90x + 181	$C_6$	$0$	$-1$
1.3e2_13.6t1.4c1 1.3e2_13.6t1.4c2	$1$	$ 3^{2} \cdot 13 $	x^6 - 91x^3 + 2197	$C_6$	$0$	$-1$
1.3e2_13.6t1.5c1 1.3e2_13.6t1.5c2	$1$	$ 3^{2} \cdot 13 $	x^6 - 26x^3 + 2197	$C_6$	$0$	$-1$
1.3e2_13.6t1.1c1 1.3e2_13.6t1.1c2	$1$	$ 3^{2} \cdot 13 $	x^6 - 39x^4 - 26x^3 + 351x^2 + 234x - 468	$C_6$	$0$	$1$
1.3e2_13.6t1.7c1 1.3e2_13.6t1.7c2	$1$	$ 3^{2} \cdot 13 $	x^6 - 39x^4 - 26x^3 + 351x^2 + 585x + 117	$C_6$	$0$	$1$
1.3e2_13.6t1.8c1 1.3e2_13.6t1.8c2	$1$	$ 3^{2} \cdot 13 $	x^6 - 26x^3 + 351x^2 - 936x + 793	$C_6$	$0$	$-1$
1.3e2_13.6t1.6c1 1.3e2_13.6t1.6c2	$1$	$ 3^{2} \cdot 13 $	x^6 - 26x^3 + 351x^2 + 234x + 208	$C_6$	$0$	$-1$