LMFDB - Complex character search results

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Results (1-50 of 260 matches)

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Label	Degree	Type	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
800.315.1a	$1$	R	$1$	$\Q$	800.315.1a	$C_{10}^2:C_8$	$C_1$	$1$	1.a1.a1	$800$	1.a1.a1	$800$	$1$	$1$
800.315.1b	$1$	R	$1$	$\Q$	800.315.1b	$C_{10}^2:C_8$	$C_2$	$2$	2.b1.a1	$400$	1.a1.a1	$800$	$1$	$1$
800.315.1c	$1$	R	$1$	$\Q$	800.315.1c	$C_{10}^2:C_8$	$C_2$	$2$	2.b1.b1	$400$	1.a1.a1	$800$	$1$	$1$
800.315.1d	$1$	R	$1$	$\Q$	800.315.1d	$C_{10}^2:C_8$	$C_2$	$2$	2.a1.a1	$400$	1.a1.a1	$800$	$1$	$1$
800.315.1e1	$1$	C	$4$	$\Q(\sqrt{-1}) $	800.315.1e	$C_{10}^2:C_8$	$C_4$	$4$	4.c1.a1	$200$	1.a1.a1	$800$	$1$	$1$
800.315.1e2	$1$	C	$4$	$\Q(\sqrt{-1}) $	800.315.1e	$C_{10}^2:C_8$	$C_4$	$4$	4.c1.a1	$200$	1.a1.a1	$800$	$1$	$1$
800.315.1f1	$1$	C	$4$	$\Q(\sqrt{-1}) $	800.315.1f	$C_{10}^2:C_8$	$C_4$	$4$	4.a1.a1	$200$	1.a1.a1	$800$	$1$	$1$
800.315.1f2	$1$	C	$4$	$\Q(\sqrt{-1}) $	800.315.1f	$C_{10}^2:C_8$	$C_4$	$4$	4.a1.a1	$200$	1.a1.a1	$800$	$1$	$1$
800.315.1g1	$1$	C	$5$	$\Q(\zeta_{5})$	800.315.1g	$C_{10}^2:C_8$	$C_5$	$5$	5.a1.a1	$160$	1.a1.a1	$800$	$1$	$1$
800.315.1g2	$1$	C	$5$	$\Q(\zeta_{5})$	800.315.1g	$C_{10}^2:C_8$	$C_5$	$5$	5.a1.a1	$160$	1.a1.a1	$800$	$1$	$1$
800.315.1g3	$1$	C	$5$	$\Q(\zeta_{5})$	800.315.1g	$C_{10}^2:C_8$	$C_5$	$5$	5.a1.a1	$160$	1.a1.a1	$800$	$1$	$1$
800.315.1g4	$1$	C	$5$	$\Q(\zeta_{5})$	800.315.1g	$C_{10}^2:C_8$	$C_5$	$5$	5.a1.a1	$160$	1.a1.a1	$800$	$1$	$1$
800.315.1h1	$1$	C	$8$	$\Q(\zeta_{8})$	800.315.1h	$C_{10}^2:C_8$	$C_8$	$8$	8.b1.b1	$100$	1.a1.a1	$800$	$1$	$1$
800.315.1h2	$1$	C	$8$	$\Q(\zeta_{8})$	800.315.1h	$C_{10}^2:C_8$	$C_8$	$8$	8.b1.b1	$100$	1.a1.a1	$800$	$1$	$1$
800.315.1h3	$1$	C	$8$	$\Q(\zeta_{8})$	800.315.1h	$C_{10}^2:C_8$	$C_8$	$8$	8.b1.b1	$100$	1.a1.a1	$800$	$1$	$1$
800.315.1h4	$1$	C	$8$	$\Q(\zeta_{8})$	800.315.1h	$C_{10}^2:C_8$	$C_8$	$8$	8.b1.b1	$100$	1.a1.a1	$800$	$1$	$1$
800.315.1i1	$1$	C	$8$	$\Q(\zeta_{8})$	800.315.1i	$C_{10}^2:C_8$	$C_8$	$8$	8.b1.a1	$100$	1.a1.a1	$800$	$1$	$1$
800.315.1i2	$1$	C	$8$	$\Q(\zeta_{8})$	800.315.1i	$C_{10}^2:C_8$	$C_8$	$8$	8.b1.a1	$100$	1.a1.a1	$800$	$1$	$1$
800.315.1i3	$1$	C	$8$	$\Q(\zeta_{8})$	800.315.1i	$C_{10}^2:C_8$	$C_8$	$8$	8.b1.a1	$100$	1.a1.a1	$800$	$1$	$1$
800.315.1i4	$1$	C	$8$	$\Q(\zeta_{8})$	800.315.1i	$C_{10}^2:C_8$	$C_8$	$8$	8.b1.a1	$100$	1.a1.a1	$800$	$1$	$1$
800.315.1j1	$1$	C	$5$	$\Q(\zeta_{5})$	800.315.1j	$C_{10}^2:C_8$	$C_{10}$	$10$	10.c1.a1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1j2	$1$	C	$5$	$\Q(\zeta_{5})$	800.315.1j	$C_{10}^2:C_8$	$C_{10}$	$10$	10.c1.a1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1j3	$1$	C	$5$	$\Q(\zeta_{5})$	800.315.1j	$C_{10}^2:C_8$	$C_{10}$	$10$	10.c1.a1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1j4	$1$	C	$5$	$\Q(\zeta_{5})$	800.315.1j	$C_{10}^2:C_8$	$C_{10}$	$10$	10.c1.a1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1k1	$1$	C	$5$	$\Q(\zeta_{5})$	800.315.1k	$C_{10}^2:C_8$	$C_{10}$	$10$	10.c1.b1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1k2	$1$	C	$5$	$\Q(\zeta_{5})$	800.315.1k	$C_{10}^2:C_8$	$C_{10}$	$10$	10.c1.b1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1k3	$1$	C	$5$	$\Q(\zeta_{5})$	800.315.1k	$C_{10}^2:C_8$	$C_{10}$	$10$	10.c1.b1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1k4	$1$	C	$5$	$\Q(\zeta_{5})$	800.315.1k	$C_{10}^2:C_8$	$C_{10}$	$10$	10.c1.b1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1l1	$1$	C	$5$	$\Q(\zeta_{5})$	800.315.1l	$C_{10}^2:C_8$	$C_{10}$	$10$	10.b1.a1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1l2	$1$	C	$5$	$\Q(\zeta_{5})$	800.315.1l	$C_{10}^2:C_8$	$C_{10}$	$10$	10.b1.a1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1l3	$1$	C	$5$	$\Q(\zeta_{5})$	800.315.1l	$C_{10}^2:C_8$	$C_{10}$	$10$	10.b1.a1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1l4	$1$	C	$5$	$\Q(\zeta_{5})$	800.315.1l	$C_{10}^2:C_8$	$C_{10}$	$10$	10.b1.a1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1m1	$1$	C	$20$	$\Q(\sqrt{-1}) $	800.315.1m	$C_{10}^2:C_8$	$C_{20}$	$20$	20.f1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1m2	$1$	C	$20$	$\Q(\sqrt{-1}) $	800.315.1m	$C_{10}^2:C_8$	$C_{20}$	$20$	20.f1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1m3	$1$	C	$20$	$\Q(\sqrt{-1}) $	800.315.1m	$C_{10}^2:C_8$	$C_{20}$	$20$	20.f1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1m4	$1$	C	$20$	$\Q(\sqrt{-1}) $	800.315.1m	$C_{10}^2:C_8$	$C_{20}$	$20$	20.f1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1m5	$1$	C	$20$	$\Q(\sqrt{-1}) $	800.315.1m	$C_{10}^2:C_8$	$C_{20}$	$20$	20.f1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1m6	$1$	C	$20$	$\Q(\sqrt{-1}) $	800.315.1m	$C_{10}^2:C_8$	$C_{20}$	$20$	20.f1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1m7	$1$	C	$20$	$\Q(\sqrt{-1}) $	800.315.1m	$C_{10}^2:C_8$	$C_{20}$	$20$	20.f1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1m8	$1$	C	$20$	$\Q(\sqrt{-1}) $	800.315.1m	$C_{10}^2:C_8$	$C_{20}$	$20$	20.f1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1n1	$1$	C	$20$	$\Q(\sqrt{-1}) $	800.315.1n	$C_{10}^2:C_8$	$C_{20}$	$20$	20.b1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1n2	$1$	C	$20$	$\Q(\sqrt{-1}) $	800.315.1n	$C_{10}^2:C_8$	$C_{20}$	$20$	20.b1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1n3	$1$	C	$20$	$\Q(\sqrt{-1}) $	800.315.1n	$C_{10}^2:C_8$	$C_{20}$	$20$	20.b1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1n4	$1$	C	$20$	$\Q(\sqrt{-1}) $	800.315.1n	$C_{10}^2:C_8$	$C_{20}$	$20$	20.b1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1n5	$1$	C	$20$	$\Q(\sqrt{-1}) $	800.315.1n	$C_{10}^2:C_8$	$C_{20}$	$20$	20.b1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1n6	$1$	C	$20$	$\Q(\sqrt{-1}) $	800.315.1n	$C_{10}^2:C_8$	$C_{20}$	$20$	20.b1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1n7	$1$	C	$20$	$\Q(\sqrt{-1}) $	800.315.1n	$C_{10}^2:C_8$	$C_{20}$	$20$	20.b1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1n8	$1$	C	$20$	$\Q(\sqrt{-1}) $	800.315.1n	$C_{10}^2:C_8$	$C_{20}$	$20$	20.b1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1o1	$1$	C	$40$	$\Q(\zeta_{8})$	800.315.1o	$C_{10}^2:C_8$	$C_{40}$	$40$	40.d1.b1	$20$	1.a1.a1	$800$	$1$	$1$
800.315.1o10	$1$	C	$40$	$\Q(\zeta_{8})$	800.315.1o	$C_{10}^2:C_8$	$C_{40}$	$40$	40.d1.b1	$20$	1.a1.a1	$800$	$1$	$1$

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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	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
800.315.1a	$1$	R	$1$	\(\Q\)	800.315.1a	$C_{10}^2:C_8$	$C_1$	$1$	1.a1.a1	$800$	1.a1.a1	$800$	$1$	$1$
800.315.1b	$1$	R	$1$	\(\Q\)	800.315.1b	$C_{10}^2:C_8$	$C_2$	$2$	2.b1.a1	$400$	1.a1.a1	$800$	$1$	$1$
800.315.1c	$1$	R	$1$	\(\Q\)	800.315.1c	$C_{10}^2:C_8$	$C_2$	$2$	2.b1.b1	$400$	1.a1.a1	$800$	$1$	$1$
800.315.1d	$1$	R	$1$	\(\Q\)	800.315.1d	$C_{10}^2:C_8$	$C_2$	$2$	2.a1.a1	$400$	1.a1.a1	$800$	$1$	$1$
800.315.1e1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	800.315.1e	$C_{10}^2:C_8$	$C_4$	$4$	4.c1.a1	$200$	1.a1.a1	$800$	$1$	$1$
800.315.1e2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	800.315.1e	$C_{10}^2:C_8$	$C_4$	$4$	4.c1.a1	$200$	1.a1.a1	$800$	$1$	$1$
800.315.1f1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	800.315.1f	$C_{10}^2:C_8$	$C_4$	$4$	4.a1.a1	$200$	1.a1.a1	$800$	$1$	$1$
800.315.1f2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	800.315.1f	$C_{10}^2:C_8$	$C_4$	$4$	4.a1.a1	$200$	1.a1.a1	$800$	$1$	$1$
800.315.1g1	$1$	C	$5$	\(\Q(\zeta_{5})\)	800.315.1g	$C_{10}^2:C_8$	$C_5$	$5$	5.a1.a1	$160$	1.a1.a1	$800$	$1$	$1$
800.315.1g2	$1$	C	$5$	\(\Q(\zeta_{5})\)	800.315.1g	$C_{10}^2:C_8$	$C_5$	$5$	5.a1.a1	$160$	1.a1.a1	$800$	$1$	$1$
800.315.1g3	$1$	C	$5$	\(\Q(\zeta_{5})\)	800.315.1g	$C_{10}^2:C_8$	$C_5$	$5$	5.a1.a1	$160$	1.a1.a1	$800$	$1$	$1$
800.315.1g4	$1$	C	$5$	\(\Q(\zeta_{5})\)	800.315.1g	$C_{10}^2:C_8$	$C_5$	$5$	5.a1.a1	$160$	1.a1.a1	$800$	$1$	$1$
800.315.1h1	$1$	C	$8$	\(\Q(\zeta_{8})\)	800.315.1h	$C_{10}^2:C_8$	$C_8$	$8$	8.b1.b1	$100$	1.a1.a1	$800$	$1$	$1$
800.315.1h2	$1$	C	$8$	\(\Q(\zeta_{8})\)	800.315.1h	$C_{10}^2:C_8$	$C_8$	$8$	8.b1.b1	$100$	1.a1.a1	$800$	$1$	$1$
800.315.1h3	$1$	C	$8$	\(\Q(\zeta_{8})\)	800.315.1h	$C_{10}^2:C_8$	$C_8$	$8$	8.b1.b1	$100$	1.a1.a1	$800$	$1$	$1$
800.315.1h4	$1$	C	$8$	\(\Q(\zeta_{8})\)	800.315.1h	$C_{10}^2:C_8$	$C_8$	$8$	8.b1.b1	$100$	1.a1.a1	$800$	$1$	$1$
800.315.1i1	$1$	C	$8$	\(\Q(\zeta_{8})\)	800.315.1i	$C_{10}^2:C_8$	$C_8$	$8$	8.b1.a1	$100$	1.a1.a1	$800$	$1$	$1$
800.315.1i2	$1$	C	$8$	\(\Q(\zeta_{8})\)	800.315.1i	$C_{10}^2:C_8$	$C_8$	$8$	8.b1.a1	$100$	1.a1.a1	$800$	$1$	$1$
800.315.1i3	$1$	C	$8$	\(\Q(\zeta_{8})\)	800.315.1i	$C_{10}^2:C_8$	$C_8$	$8$	8.b1.a1	$100$	1.a1.a1	$800$	$1$	$1$
800.315.1i4	$1$	C	$8$	\(\Q(\zeta_{8})\)	800.315.1i	$C_{10}^2:C_8$	$C_8$	$8$	8.b1.a1	$100$	1.a1.a1	$800$	$1$	$1$
800.315.1j1	$1$	C	$5$	\(\Q(\zeta_{5})\)	800.315.1j	$C_{10}^2:C_8$	$C_{10}$	$10$	10.c1.a1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1j2	$1$	C	$5$	\(\Q(\zeta_{5})\)	800.315.1j	$C_{10}^2:C_8$	$C_{10}$	$10$	10.c1.a1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1j3	$1$	C	$5$	\(\Q(\zeta_{5})\)	800.315.1j	$C_{10}^2:C_8$	$C_{10}$	$10$	10.c1.a1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1j4	$1$	C	$5$	\(\Q(\zeta_{5})\)	800.315.1j	$C_{10}^2:C_8$	$C_{10}$	$10$	10.c1.a1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1k1	$1$	C	$5$	\(\Q(\zeta_{5})\)	800.315.1k	$C_{10}^2:C_8$	$C_{10}$	$10$	10.c1.b1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1k2	$1$	C	$5$	\(\Q(\zeta_{5})\)	800.315.1k	$C_{10}^2:C_8$	$C_{10}$	$10$	10.c1.b1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1k3	$1$	C	$5$	\(\Q(\zeta_{5})\)	800.315.1k	$C_{10}^2:C_8$	$C_{10}$	$10$	10.c1.b1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1k4	$1$	C	$5$	\(\Q(\zeta_{5})\)	800.315.1k	$C_{10}^2:C_8$	$C_{10}$	$10$	10.c1.b1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1l1	$1$	C	$5$	\(\Q(\zeta_{5})\)	800.315.1l	$C_{10}^2:C_8$	$C_{10}$	$10$	10.b1.a1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1l2	$1$	C	$5$	\(\Q(\zeta_{5})\)	800.315.1l	$C_{10}^2:C_8$	$C_{10}$	$10$	10.b1.a1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1l3	$1$	C	$5$	\(\Q(\zeta_{5})\)	800.315.1l	$C_{10}^2:C_8$	$C_{10}$	$10$	10.b1.a1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1l4	$1$	C	$5$	\(\Q(\zeta_{5})\)	800.315.1l	$C_{10}^2:C_8$	$C_{10}$	$10$	10.b1.a1	$80$	1.a1.a1	$800$	$1$	$1$
800.315.1m1	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	800.315.1m	$C_{10}^2:C_8$	$C_{20}$	$20$	20.f1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1m2	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	800.315.1m	$C_{10}^2:C_8$	$C_{20}$	$20$	20.f1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1m3	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	800.315.1m	$C_{10}^2:C_8$	$C_{20}$	$20$	20.f1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1m4	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	800.315.1m	$C_{10}^2:C_8$	$C_{20}$	$20$	20.f1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1m5	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	800.315.1m	$C_{10}^2:C_8$	$C_{20}$	$20$	20.f1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1m6	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	800.315.1m	$C_{10}^2:C_8$	$C_{20}$	$20$	20.f1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1m7	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	800.315.1m	$C_{10}^2:C_8$	$C_{20}$	$20$	20.f1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1m8	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	800.315.1m	$C_{10}^2:C_8$	$C_{20}$	$20$	20.f1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1n1	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	800.315.1n	$C_{10}^2:C_8$	$C_{20}$	$20$	20.b1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1n2	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	800.315.1n	$C_{10}^2:C_8$	$C_{20}$	$20$	20.b1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1n3	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	800.315.1n	$C_{10}^2:C_8$	$C_{20}$	$20$	20.b1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1n4	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	800.315.1n	$C_{10}^2:C_8$	$C_{20}$	$20$	20.b1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1n5	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	800.315.1n	$C_{10}^2:C_8$	$C_{20}$	$20$	20.b1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1n6	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	800.315.1n	$C_{10}^2:C_8$	$C_{20}$	$20$	20.b1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1n7	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	800.315.1n	$C_{10}^2:C_8$	$C_{20}$	$20$	20.b1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1n8	$1$	C	$20$	\(\Q(\sqrt{-1}) \)	800.315.1n	$C_{10}^2:C_8$	$C_{20}$	$20$	20.b1.a1	$40$	1.a1.a1	$800$	$1$	$1$
800.315.1o1	$1$	C	$40$	\(\Q(\zeta_{8})\)	800.315.1o	$C_{10}^2:C_8$	$C_{40}$	$40$	40.d1.b1	$20$	1.a1.a1	$800$	$1$	$1$
800.315.1o10	$1$	C	$40$	\(\Q(\zeta_{8})\)	800.315.1o	$C_{10}^2:C_8$	$C_{40}$	$40$	40.d1.b1	$20$	1.a1.a1	$800$	$1$	$1$