LMFDB - Artin representation search results

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Dimension	Conductor	Group	Root number	Parity

Smallest permutation	Ramified	Unramified primes	Ramified prime count	Frobenius-Schur

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Results (1-50 of 63 matches)

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Galois conjugate representations are grouped into single lines.

Label	Dimension	Conductor	Ramified prime count	Artin stem field	$G$	Projective image	Container	Ind	$\chi(c)$
9.873...576.16t1030.a.a	$9$	$ 2^{22} \cdot 3^{6} \cdot 13^{4}$	$3$	8.4.16148201472.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.907...384.16t1030.a.a	$9$	$ 2^{12} \cdot 53^{6}$	$2$	8.4.26764511552.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.447...000.16t1030.a.a	$9$	$ 2^{12} \cdot 5^{8} \cdot 23^{4}$	$3$	8.4.2645000000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.476...056.16t1030.a.a	$9$	$ 2^{24} \cdot 73^{4}$	$2$	8.4.2793930752.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.498...625.16t1030.a.a	$9$	$ 3^{12} \cdot 5^{8} \cdot 7^{4}$	$3$	8.4.2790703125.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.505...104.16t1030.a.a	$9$	$ 2^{32} \cdot 7^{6}$	$2$	8.4.80564191232.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.505...104.16t1030.b.a	$9$	$ 2^{32} \cdot 7^{6}$	$2$	8.4.1644167168.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.544...000.16t1030.a.a	$9$	$ 2^{16} \cdot 3^{12} \cdot 5^{6}$	$3$	8.4.9331200000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.544...000.16t1030.b.a	$9$	$ 2^{16} \cdot 3^{12} \cdot 5^{6}$	$3$	8.4.583200000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.781...625.16t1030.a.a	$9$	$ 3^{6} \cdot 5^{6} \cdot 7^{4} \cdot 13^{4}$	$4$	8.4.18865153125.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.123...000.16t1030.a.a	$9$	$ 2^{24} \cdot 5^{4} \cdot 7^{6}$	$3$	8.4.786759680000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.138...625.16t1030.a.a	$9$	$ 3^{6} \cdot 5^{8} \cdot 47^{4}$	$3$	8.4.125809453125.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.162...000.16t1030.a.a	$9$	$ 2^{12} \cdot 5^{6} \cdot 71^{4}$	$3$	8.4.4032800000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.228...536.16t1030.a.a	$9$	$ 2^{32} \cdot 3^{12}$	$2$	8.4.24461180928.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.228...536.16t1030.b.a	$9$	$ 2^{32} \cdot 3^{12}$	$2$	8.4.24461180928.2	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.254...104.16t1030.a.a	$9$	$ 2^{22} \cdot 157^{4}$	$2$	8.4.3230793728.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.255...464.16t1030.a.a	$9$	$ 2^{28} \cdot 3^{4} \cdot 7^{6}$	$3$	8.4.407856218112.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.255...464.16t1030.b.a	$9$	$ 2^{28} \cdot 3^{4} \cdot 7^{6}$	$3$	8.4.8323596288.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.275...000.16t1030.a.a	$9$	$ 2^{12} \cdot 3^{16} \cdot 5^{6}$	$3$	8.4.83980800000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.283...000.16t1030.a.a	$9$	$ 2^{12} \cdot 5^{8} \cdot 11^{6}$	$3$	8.4.73205000000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.335...625.16t1030.a.a	$9$	$ 3^{6} \cdot 5^{6} \cdot 131^{4}$	$3$	8.4.39094903125.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.350...000.16t1030.a.a	$9$	$ 2^{16} \cdot 5^{6} \cdot 43^{4}$	$3$	8.4.23667200000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.350...000.16t1030.b.a	$9$	$ 2^{16} \cdot 5^{6} \cdot 43^{4}$	$3$	8.4.1479200000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.370...481.16t1030.a.a	$9$	$ 3^{12} \cdot 17^{8}$	$2$	8.4.299136892617.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.379...584.16t1030.a.a	$9$	$ 2^{16} \cdot 7^{4} \cdot 17^{6}$	$3$	8.4.17810686208.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.383...000.16t1030.a.a	$9$	$ 2^{24} \cdot 5^{6} \cdot 11^{4}$	$3$	8.4.991232000000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.402...521.16t1030.a.a	$9$	$ 3^{4} \cdot 17^{4} \cdot 29^{6}$	$3$	8.4.480145486941.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.458...000.16t1030.a.a	$9$	$ 2^{20} \cdot 5^{6} \cdot 23^{4}$	$3$	8.4.1692800000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.480...536.16t1030.a.a	$9$	$ 2^{10} \cdot 3^{4} \cdot 7^{4} \cdot 17^{6}$	$4$	8.4.1442665582848.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.500...000.16t1030.a.a	$9$	$ 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 17^{6}$	$4$	8.4.20445940800.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.510...000.16t1030.a.a	$9$	$ 2^{8} \cdot 3^{12} \cdot 5^{6} \cdot 7^{4}$	$4$	8.4.28576800000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.547...000.16t1030.a.a	$9$	$ 2^{12} \cdot 5^{8} \cdot 43^{4}$	$3$	8.4.36980000000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.547...000.16t1030.a.a	$9$	$ 2^{22} \cdot 5^{6} \cdot 17^{4}$	$3$	8.4.3787980800000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.558...864.16t1030.a.a	$9$	$ 2^{28} \cdot 3^{6} \cdot 13^{4}$	$3$	8.4.258371223552.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.566...649.16t1030.a.a	$9$	$ 3^{4} \cdot 7^{6} \cdot 29^{6}$	$3$	8.4.3989028768669.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.615...369.16t1030.a.a	$9$	$ 3^{12} \cdot 7^{4} \cdot 13^{6}$	$3$	8.4.5848964148573.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.692...000.16t1030.a.a	$9$	$ 2^{16} \cdot 3^{4} \cdot 5^{6} \cdot 17^{4}$	$4$	8.4.74908800000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.706...584.16t1030.a.a	$9$	$ 2^{6} \cdot 3^{6} \cdot 73^{6}$	$3$	8.4.6045076765188.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.722...736.16t1030.a.a	$9$	$ 2^{22} \cdot 7^{6} \cdot 11^{4}$	$3$	8.4.1865879257088.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.722...736.16t1030.b.a	$9$	$ 2^{22} \cdot 7^{6} \cdot 11^{4}$	$3$	8.4.4607579389952.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.745...544.16t1030.a.a	$9$	$ 2^{6} \cdot 13^{6} \cdot 17^{6}$	$3$	8.0.162210143108.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.808...664.16t1030.a.a	$9$	$ 2^{36} \cdot 7^{6}$	$2$	8.4.105226698752.2	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.808...664.16t1030.b.a	$9$	$ 2^{36} \cdot 7^{6}$	$2$	8.4.5156108238848.10	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.913...144.16t1030.a.a	$9$	$ 2^{34} \cdot 3^{12}$	$2$	8.4.1565515579392.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.913...144.16t1030.b.a	$9$	$ 2^{34} \cdot 3^{12}$	$2$	8.4.1565515579392.5	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.918...000.16t1030.a.a	$9$	$ 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 11^{6}$	$4$	8.4.1960200000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.943...696.16t1030.a.a	$9$	$ 2^{28} \cdot 7^{4} \cdot 11^{4}$	$3$	8.4.12434014208.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.947...000.16t1030.a.a	$9$	$ 2^{12} \cdot 5^{6} \cdot 23^{6}$	$3$	8.4.29607177800000.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.993...536.16t1030.a.a	$9$	$ 2^{32} \cdot 3^{4} \cdot 13^{4}$	$3$	8.4.51036291072.1	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$
9.993...536.16t1030.b.a	$9$	$ 2^{32} \cdot 3^{4} \cdot 13^{4}$	$3$	8.4.51036291072.2	$A_4^2:C_4$	$A_4^2:C_4$	$A_4^2:C_4$	$1$	$1$

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