LMFDB - Complex character search results

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Degree	Type	Faithful	Conductor

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Results (22 matches)

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Label	Degree	Type	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
64.30.1a	$1$	R		$1$	$\Q$	64.30.1a	$\OD_{32}:C_2$	$C_1$	$1$	1.a1.a1	$64$	1.a1.a1	$64$	$1$	$1$
64.30.1b	$1$	R		$1$	$\Q$	64.30.1b	$\OD_{32}:C_2$	$C_2$	$2$	2.b1.b1	$32$	1.a1.a1	$64$	$1$	$1$
64.30.1c	$1$	R		$1$	$\Q$	64.30.1c	$\OD_{32}:C_2$	$C_2$	$2$	2.b1.a1	$32$	1.a1.a1	$64$	$1$	$1$
64.30.1d	$1$	R		$1$	$\Q$	64.30.1d	$\OD_{32}:C_2$	$C_2$	$2$	2.a1.a1	$32$	1.a1.a1	$64$	$1$	$1$
64.30.1e1	$1$	C		$4$	$\Q(\sqrt{-1}) $	64.30.1e	$\OD_{32}:C_2$	$C_4$	$4$	4.c1.a1	$16$	1.a1.a1	$64$	$1$	$1$
64.30.1e2	$1$	C		$4$	$\Q(\sqrt{-1}) $	64.30.1e	$\OD_{32}:C_2$	$C_4$	$4$	4.c1.a1	$16$	1.a1.a1	$64$	$1$	$1$
64.30.1f1	$1$	C		$4$	$\Q(\sqrt{-1}) $	64.30.1f	$\OD_{32}:C_2$	$C_4$	$4$	4.a1.a1	$16$	1.a1.a1	$64$	$1$	$1$
64.30.1f2	$1$	C		$4$	$\Q(\sqrt{-1}) $	64.30.1f	$\OD_{32}:C_2$	$C_4$	$4$	4.a1.a1	$16$	1.a1.a1	$64$	$1$	$1$
64.30.1g1	$1$	C		$8$	$\Q(\zeta_{8})$	64.30.1g	$\OD_{32}:C_2$	$C_8$	$8$	8.c1.a1	$8$	1.a1.a1	$64$	$1$	$1$
64.30.1g2	$1$	C		$8$	$\Q(\zeta_{8})$	64.30.1g	$\OD_{32}:C_2$	$C_8$	$8$	8.c1.a1	$8$	1.a1.a1	$64$	$1$	$1$
64.30.1g3	$1$	C		$8$	$\Q(\zeta_{8})$	64.30.1g	$\OD_{32}:C_2$	$C_8$	$8$	8.c1.a1	$8$	1.a1.a1	$64$	$1$	$1$
64.30.1g4	$1$	C		$8$	$\Q(\zeta_{8})$	64.30.1g	$\OD_{32}:C_2$	$C_8$	$8$	8.c1.a1	$8$	1.a1.a1	$64$	$1$	$1$
64.30.1h1	$1$	C		$8$	$\Q(\zeta_{8})$	64.30.1h	$\OD_{32}:C_2$	$C_8$	$8$	8.a1.a1	$8$	1.a1.a1	$64$	$1$	$1$
64.30.1h2	$1$	C		$8$	$\Q(\zeta_{8})$	64.30.1h	$\OD_{32}:C_2$	$C_8$	$8$	8.a1.a1	$8$	1.a1.a1	$64$	$1$	$1$
64.30.1h3	$1$	C		$8$	$\Q(\zeta_{8})$	64.30.1h	$\OD_{32}:C_2$	$C_8$	$8$	8.a1.a1	$8$	1.a1.a1	$64$	$1$	$1$
64.30.1h4	$1$	C		$8$	$\Q(\zeta_{8})$	64.30.1h	$\OD_{32}:C_2$	$C_8$	$8$	8.a1.a1	$8$	1.a1.a1	$64$	$1$	$1$
64.30.2a	$2$	R		$1$	$\Q$	64.30.2a	$\OD_{32}:C_2$	$D_4$	$8$	8.d1.b1	$8$	4.b1.a1	$16$	$4$	$1$
64.30.2b	$2$	R		$1$	$\Q$	64.30.2b	$\OD_{32}:C_2$	$D_4$	$8$	8.d1.a1	$8$	4.b1.a1	$16$	$4$	$1$
64.30.2c1	$2$	C		$4$	$\Q(\sqrt{-1}) $	64.30.2c	$\OD_{32}:C_2$	$\OD_{16}$	$16$	16.c1.a1	$4$	4.b1.a1	$16$	$4$	$1$
64.30.2c2	$2$	C		$4$	$\Q(\sqrt{-1}) $	64.30.2c	$\OD_{32}:C_2$	$\OD_{16}$	$16$	16.c1.a1	$4$	4.b1.a1	$16$	$4$	$1$
64.30.4a1	$4$	C	✓	$4$	$\Q(\sqrt{-1}) $	64.30.4a	$\OD_{32}:C_2$	$\OD_{32}:C_2$	$64$	64.a1.a1	$1$	16.b1.a1	$4$	$16$	$1$
64.30.4a2	$4$	C	✓	$4$	$\Q(\sqrt{-1}) $	64.30.4a	$\OD_{32}:C_2$	$\OD_{32}:C_2$	$64$	64.a1.a1	$1$	16.b1.a1	$4$	$16$	$1$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
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Results (22 matches)

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	Degree	Type	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
64.30.1a	$1$	R		$1$	\(\Q\)	64.30.1a	$\OD_{32}:C_2$	$C_1$	$1$	1.a1.a1	$64$	1.a1.a1	$64$	$1$	$1$
64.30.1b	$1$	R		$1$	\(\Q\)	64.30.1b	$\OD_{32}:C_2$	$C_2$	$2$	2.b1.b1	$32$	1.a1.a1	$64$	$1$	$1$
64.30.1c	$1$	R		$1$	\(\Q\)	64.30.1c	$\OD_{32}:C_2$	$C_2$	$2$	2.b1.a1	$32$	1.a1.a1	$64$	$1$	$1$
64.30.1d	$1$	R		$1$	\(\Q\)	64.30.1d	$\OD_{32}:C_2$	$C_2$	$2$	2.a1.a1	$32$	1.a1.a1	$64$	$1$	$1$
64.30.1e1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	64.30.1e	$\OD_{32}:C_2$	$C_4$	$4$	4.c1.a1	$16$	1.a1.a1	$64$	$1$	$1$
64.30.1e2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	64.30.1e	$\OD_{32}:C_2$	$C_4$	$4$	4.c1.a1	$16$	1.a1.a1	$64$	$1$	$1$
64.30.1f1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	64.30.1f	$\OD_{32}:C_2$	$C_4$	$4$	4.a1.a1	$16$	1.a1.a1	$64$	$1$	$1$
64.30.1f2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	64.30.1f	$\OD_{32}:C_2$	$C_4$	$4$	4.a1.a1	$16$	1.a1.a1	$64$	$1$	$1$
64.30.1g1	$1$	C		$8$	\(\Q(\zeta_{8})\)	64.30.1g	$\OD_{32}:C_2$	$C_8$	$8$	8.c1.a1	$8$	1.a1.a1	$64$	$1$	$1$
64.30.1g2	$1$	C		$8$	\(\Q(\zeta_{8})\)	64.30.1g	$\OD_{32}:C_2$	$C_8$	$8$	8.c1.a1	$8$	1.a1.a1	$64$	$1$	$1$
64.30.1g3	$1$	C		$8$	\(\Q(\zeta_{8})\)	64.30.1g	$\OD_{32}:C_2$	$C_8$	$8$	8.c1.a1	$8$	1.a1.a1	$64$	$1$	$1$
64.30.1g4	$1$	C		$8$	\(\Q(\zeta_{8})\)	64.30.1g	$\OD_{32}:C_2$	$C_8$	$8$	8.c1.a1	$8$	1.a1.a1	$64$	$1$	$1$
64.30.1h1	$1$	C		$8$	\(\Q(\zeta_{8})\)	64.30.1h	$\OD_{32}:C_2$	$C_8$	$8$	8.a1.a1	$8$	1.a1.a1	$64$	$1$	$1$
64.30.1h2	$1$	C		$8$	\(\Q(\zeta_{8})\)	64.30.1h	$\OD_{32}:C_2$	$C_8$	$8$	8.a1.a1	$8$	1.a1.a1	$64$	$1$	$1$
64.30.1h3	$1$	C		$8$	\(\Q(\zeta_{8})\)	64.30.1h	$\OD_{32}:C_2$	$C_8$	$8$	8.a1.a1	$8$	1.a1.a1	$64$	$1$	$1$
64.30.1h4	$1$	C		$8$	\(\Q(\zeta_{8})\)	64.30.1h	$\OD_{32}:C_2$	$C_8$	$8$	8.a1.a1	$8$	1.a1.a1	$64$	$1$	$1$
64.30.2a	$2$	R		$1$	\(\Q\)	64.30.2a	$\OD_{32}:C_2$	$D_4$	$8$	8.d1.b1	$8$	4.b1.a1	$16$	$4$	$1$
64.30.2b	$2$	R		$1$	\(\Q\)	64.30.2b	$\OD_{32}:C_2$	$D_4$	$8$	8.d1.a1	$8$	4.b1.a1	$16$	$4$	$1$
64.30.2c1	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	64.30.2c	$\OD_{32}:C_2$	$\OD_{16}$	$16$	16.c1.a1	$4$	4.b1.a1	$16$	$4$	$1$
64.30.2c2	$2$	C		$4$	\(\Q(\sqrt{-1}) \)	64.30.2c	$\OD_{32}:C_2$	$\OD_{16}$	$16$	16.c1.a1	$4$	4.b1.a1	$16$	$4$	$1$
64.30.4a1	$4$	C	✓	$4$	\(\Q(\sqrt{-1}) \)	64.30.4a	$\OD_{32}:C_2$	$\OD_{32}:C_2$	$64$	64.a1.a1	$1$	16.b1.a1	$4$	$16$	$1$
64.30.4a2	$4$	C	✓	$4$	\(\Q(\sqrt{-1}) \)	64.30.4a	$\OD_{32}:C_2$	$\OD_{32}:C_2$	$64$	64.a1.a1	$1$	16.b1.a1	$4$	$16$	$1$