LMFDB - Artin representation search results

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Results (1-50 of at least 1000)

Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
1.100003.2t1.a.a	$1$	$ 100003 $	$1$	$\Q(\sqrt{-100003}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100005.2t1.a.a	$1$	$ 3 \cdot 5 \cdot 59 \cdot 113 $	$4$	$\Q(\sqrt{100005}) $	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100007.2t1.a.a	$1$	$ 97 \cdot 1031 $	$2$	$\Q(\sqrt{-100007}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100011.2t1.a.a	$1$	$ 3 \cdot 17 \cdot 37 \cdot 53 $	$4$	$\Q(\sqrt{-100011}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100019.2t1.a.a	$1$	$ 100019 $	$1$	$\Q(\sqrt{-100019}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100020.2t1.a.a	$1$	$ 2^{2} \cdot 3 \cdot 5 \cdot 1667 $	$4$	$\Q(\sqrt{-25005}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100023.2t1.a.a	$1$	$ 3 \cdot 7 \cdot 11 \cdot 433 $	$4$	$\Q(\sqrt{-100023}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100027.2t1.a.a	$1$	$ 23 \cdot 4349 $	$2$	$\Q(\sqrt{-100027}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100029.2t1.a.a	$1$	$ 3 \cdot 33343 $	$2$	$\Q(\sqrt{100029}) $	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100031.2t1.a.a	$1$	$ 67 \cdot 1493 $	$2$	$\Q(\sqrt{-100031}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100036.2t1.a.a	$1$	$ 2^{2} \cdot 89 \cdot 281 $	$3$	$\Q(\sqrt{-25009}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100037.2t1.a.a	$1$	$ 7 \cdot 31 \cdot 461 $	$3$	$\Q(\sqrt{100037}) $	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100039.2t1.a.a	$1$	$ 71 \cdot 1409 $	$2$	$\Q(\sqrt{-100039}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100040.2t1.a.a	$1$	$ 2^{3} \cdot 5 \cdot 41 \cdot 61 $	$4$	$\Q(\sqrt{-25010}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100043.2t1.a.a	$1$	$ 100043 $	$1$	$\Q(\sqrt{-100043}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100047.2t1.a.a	$1$	$ 3 \cdot 33349 $	$2$	$\Q(\sqrt{-100047}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100051.2t1.a.a	$1$	$ 7 \cdot 14293 $	$2$	$\Q(\sqrt{-100051}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100055.2t1.a.a	$1$	$ 5 \cdot 20011 $	$2$	$\Q(\sqrt{-100055}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100056.2t1.a.a	$1$	$ 2^{3} \cdot 3 \cdot 11 \cdot 379 $	$4$	$\Q(\sqrt{-25014}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100059.2t1.a.a	$1$	$ 3 \cdot 33353 $	$2$	$\Q(\sqrt{-100059}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100065.2t1.a.a	$1$	$ 3 \cdot 5 \cdot 7 \cdot 953 $	$4$	$\Q(\sqrt{100065}) $	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100068.2t1.a.a	$1$	$ 2^{2} \cdot 3 \cdot 31 \cdot 269 $	$4$	$\Q(\sqrt{-25017}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100069.2t1.a.a	$1$	$ 100069 $	$1$	$\Q(\sqrt{100069}) $	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100083.2t1.a.a	$1$	$ 3 \cdot 73 \cdot 457 $	$3$	$\Q(\sqrt{-100083}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100088.2t1.a.a	$1$	$ 2^{3} \cdot 12511 $	$2$	$\Q(\sqrt{-25022}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100091.2t1.a.a	$1$	$ 101 \cdot 991 $	$2$	$\Q(\sqrt{-100091}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100093.2t1.a.a	$1$	$ 7 \cdot 79 \cdot 181 $	$3$	$\Q(\sqrt{100093}) $	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100095.2t1.a.a	$1$	$ 3 \cdot 5 \cdot 6673 $	$3$	$\Q(\sqrt{-100095}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100099.2t1.a.a	$1$	$ 31 \cdot 3229 $	$2$	$\Q(\sqrt{-100099}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100101.2t1.a.a	$1$	$ 3 \cdot 61 \cdot 547 $	$3$	$\Q(\sqrt{100101}) $	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100103.2t1.a.a	$1$	$ 100103 $	$1$	$\Q(\sqrt{-100103}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100104.2t1.a.a	$1$	$ 2^{3} \cdot 3 \cdot 43 \cdot 97 $	$4$	$\Q(\sqrt{25026}) $	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100104.2t1.b.a	$1$	$ 2^{3} \cdot 3 \cdot 43 \cdot 97 $	$4$	$\Q(\sqrt{-25026}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100109.2t1.a.a	$1$	$ 100109 $	$1$	$\Q(\sqrt{100109}) $	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100113.2t1.a.a	$1$	$ 3 \cdot 13 \cdot 17 \cdot 151 $	$4$	$\Q(\sqrt{100113}) $	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100115.2t1.a.a	$1$	$ 5 \cdot 20023 $	$2$	$\Q(\sqrt{-100115}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100119.2t1.a.a	$1$	$ 3 \cdot 23 \cdot 1451 $	$3$	$\Q(\sqrt{-100119}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100120.2t1.a.a	$1$	$ 2^{3} \cdot 5 \cdot 2503 $	$3$	$\Q(\sqrt{-25030}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100123.2t1.a.a	$1$	$ 59 \cdot 1697 $	$2$	$\Q(\sqrt{-100123}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100124.2t1.a.a	$1$	$ 2^{2} \cdot 25031 $	$2$	$\Q(\sqrt{25031}) $	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100131.2t1.a.a	$1$	$ 3 \cdot 33377 $	$2$	$\Q(\sqrt{-100131}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100133.2t1.a.a	$1$	$ 11 \cdot 9103 $	$2$	$\Q(\sqrt{100133}) $	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100136.2t1.a.a	$1$	$ 2^{3} \cdot 12517 $	$2$	$\Q(\sqrt{-25034}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100139.2t1.a.a	$1$	$ 13 \cdot 7703 $	$2$	$\Q(\sqrt{-100139}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100141.2t1.a.a	$1$	$ 239 \cdot 419 $	$2$	$\Q(\sqrt{100141}) $	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100147.2t1.a.a	$1$	$ 17 \cdot 43 \cdot 137 $	$3$	$\Q(\sqrt{-100147}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100155.2t1.a.a	$1$	$ 3 \cdot 5 \cdot 11 \cdot 607 $	$4$	$\Q(\sqrt{-100155}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100163.2t1.a.a	$1$	$ 7 \cdot 41 \cdot 349 $	$3$	$\Q(\sqrt{-100163}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100164.2t1.a.a	$1$	$ 2^{2} \cdot 3 \cdot 17 \cdot 491 $	$4$	$\Q(\sqrt{-25041}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100167.2t1.a.a	$1$	$ 3 \cdot 173 \cdot 193 $	$3$	$\Q(\sqrt{-100167}) $	$C_2$	$C_1$	$C_2$	$1$	$-1$

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Results (1-50 of at least 1000)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
1.100003.2t1.a.a	$1$	$ 100003 $	$1$	\(\Q(\sqrt{-100003}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100005.2t1.a.a	$1$	$ 3 \cdot 5 \cdot 59 \cdot 113 $	$4$	\(\Q(\sqrt{100005}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100007.2t1.a.a	$1$	$ 97 \cdot 1031 $	$2$	\(\Q(\sqrt{-100007}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100011.2t1.a.a	$1$	$ 3 \cdot 17 \cdot 37 \cdot 53 $	$4$	\(\Q(\sqrt{-100011}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100019.2t1.a.a	$1$	$ 100019 $	$1$	\(\Q(\sqrt{-100019}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100020.2t1.a.a	$1$	$ 2^{2} \cdot 3 \cdot 5 \cdot 1667 $	$4$	\(\Q(\sqrt{-25005}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100023.2t1.a.a	$1$	$ 3 \cdot 7 \cdot 11 \cdot 433 $	$4$	\(\Q(\sqrt{-100023}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100027.2t1.a.a	$1$	$ 23 \cdot 4349 $	$2$	\(\Q(\sqrt{-100027}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100029.2t1.a.a	$1$	$ 3 \cdot 33343 $	$2$	\(\Q(\sqrt{100029}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100031.2t1.a.a	$1$	$ 67 \cdot 1493 $	$2$	\(\Q(\sqrt{-100031}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100036.2t1.a.a	$1$	$ 2^{2} \cdot 89 \cdot 281 $	$3$	\(\Q(\sqrt{-25009}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100037.2t1.a.a	$1$	$ 7 \cdot 31 \cdot 461 $	$3$	\(\Q(\sqrt{100037}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100039.2t1.a.a	$1$	$ 71 \cdot 1409 $	$2$	\(\Q(\sqrt{-100039}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100040.2t1.a.a	$1$	$ 2^{3} \cdot 5 \cdot 41 \cdot 61 $	$4$	\(\Q(\sqrt{-25010}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100043.2t1.a.a	$1$	$ 100043 $	$1$	\(\Q(\sqrt{-100043}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100047.2t1.a.a	$1$	$ 3 \cdot 33349 $	$2$	\(\Q(\sqrt{-100047}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100051.2t1.a.a	$1$	$ 7 \cdot 14293 $	$2$	\(\Q(\sqrt{-100051}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100055.2t1.a.a	$1$	$ 5 \cdot 20011 $	$2$	\(\Q(\sqrt{-100055}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100056.2t1.a.a	$1$	$ 2^{3} \cdot 3 \cdot 11 \cdot 379 $	$4$	\(\Q(\sqrt{-25014}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100059.2t1.a.a	$1$	$ 3 \cdot 33353 $	$2$	\(\Q(\sqrt{-100059}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100065.2t1.a.a	$1$	$ 3 \cdot 5 \cdot 7 \cdot 953 $	$4$	\(\Q(\sqrt{100065}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100068.2t1.a.a	$1$	$ 2^{2} \cdot 3 \cdot 31 \cdot 269 $	$4$	\(\Q(\sqrt{-25017}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100069.2t1.a.a	$1$	$ 100069 $	$1$	\(\Q(\sqrt{100069}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100083.2t1.a.a	$1$	$ 3 \cdot 73 \cdot 457 $	$3$	\(\Q(\sqrt{-100083}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100088.2t1.a.a	$1$	$ 2^{3} \cdot 12511 $	$2$	\(\Q(\sqrt{-25022}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100091.2t1.a.a	$1$	$ 101 \cdot 991 $	$2$	\(\Q(\sqrt{-100091}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100093.2t1.a.a	$1$	$ 7 \cdot 79 \cdot 181 $	$3$	\(\Q(\sqrt{100093}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100095.2t1.a.a	$1$	$ 3 \cdot 5 \cdot 6673 $	$3$	\(\Q(\sqrt{-100095}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100099.2t1.a.a	$1$	$ 31 \cdot 3229 $	$2$	\(\Q(\sqrt{-100099}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100101.2t1.a.a	$1$	$ 3 \cdot 61 \cdot 547 $	$3$	\(\Q(\sqrt{100101}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100103.2t1.a.a	$1$	$ 100103 $	$1$	\(\Q(\sqrt{-100103}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100104.2t1.a.a	$1$	$ 2^{3} \cdot 3 \cdot 43 \cdot 97 $	$4$	\(\Q(\sqrt{25026}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100104.2t1.b.a	$1$	$ 2^{3} \cdot 3 \cdot 43 \cdot 97 $	$4$	\(\Q(\sqrt{-25026}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100109.2t1.a.a	$1$	$ 100109 $	$1$	\(\Q(\sqrt{100109}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100113.2t1.a.a	$1$	$ 3 \cdot 13 \cdot 17 \cdot 151 $	$4$	\(\Q(\sqrt{100113}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100115.2t1.a.a	$1$	$ 5 \cdot 20023 $	$2$	\(\Q(\sqrt{-100115}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100119.2t1.a.a	$1$	$ 3 \cdot 23 \cdot 1451 $	$3$	\(\Q(\sqrt{-100119}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100120.2t1.a.a	$1$	$ 2^{3} \cdot 5 \cdot 2503 $	$3$	\(\Q(\sqrt{-25030}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100123.2t1.a.a	$1$	$ 59 \cdot 1697 $	$2$	\(\Q(\sqrt{-100123}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100124.2t1.a.a	$1$	$ 2^{2} \cdot 25031 $	$2$	\(\Q(\sqrt{25031}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100131.2t1.a.a	$1$	$ 3 \cdot 33377 $	$2$	\(\Q(\sqrt{-100131}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100133.2t1.a.a	$1$	$ 11 \cdot 9103 $	$2$	\(\Q(\sqrt{100133}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100136.2t1.a.a	$1$	$ 2^{3} \cdot 12517 $	$2$	\(\Q(\sqrt{-25034}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100139.2t1.a.a	$1$	$ 13 \cdot 7703 $	$2$	\(\Q(\sqrt{-100139}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100141.2t1.a.a	$1$	$ 239 \cdot 419 $	$2$	\(\Q(\sqrt{100141}) \)	$C_2$	$C_1$	$C_2$	$1$	$1$
1.100147.2t1.a.a	$1$	$ 17 \cdot 43 \cdot 137 $	$3$	\(\Q(\sqrt{-100147}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100155.2t1.a.a	$1$	$ 3 \cdot 5 \cdot 11 \cdot 607 $	$4$	\(\Q(\sqrt{-100155}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100163.2t1.a.a	$1$	$ 7 \cdot 41 \cdot 349 $	$3$	\(\Q(\sqrt{-100163}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100164.2t1.a.a	$1$	$ 2^{2} \cdot 3 \cdot 17 \cdot 491 $	$4$	\(\Q(\sqrt{-25041}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$
1.100167.2t1.a.a	$1$	$ 3 \cdot 173 \cdot 193 $	$3$	\(\Q(\sqrt{-100167}) \)	$C_2$	$C_1$	$C_2$	$1$	$-1$