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Results (1-50 of 60 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
60.4.1a	$1$	R		$1$	$\Q$	60.4.1a	$C_{60}$	$C_1$	$1$	1.a1.a1	$60$	1.a1.a1	$60$	$1$	$1$
60.4.1b	$1$	R		$1$	$\Q$	60.4.1b	$C_{60}$	$C_2$	$2$	2.a1.a1	$30$	1.a1.a1	$60$	$1$	$1$
60.4.1c1	$1$	C		$3$	$\Q(\sqrt{-3}) $	60.4.1c	$C_{60}$	$C_3$	$3$	3.a1.a1	$20$	1.a1.a1	$60$	$1$	$1$
60.4.1c2	$1$	C		$3$	$\Q(\sqrt{-3}) $	60.4.1c	$C_{60}$	$C_3$	$3$	3.a1.a1	$20$	1.a1.a1	$60$	$1$	$1$
60.4.1d1	$1$	C		$4$	$\Q(\sqrt{-1}) $	60.4.1d	$C_{60}$	$C_4$	$4$	4.a1.a1	$15$	1.a1.a1	$60$	$1$	$1$
60.4.1d2	$1$	C		$4$	$\Q(\sqrt{-1}) $	60.4.1d	$C_{60}$	$C_4$	$4$	4.a1.a1	$15$	1.a1.a1	$60$	$1$	$1$
60.4.1e1	$1$	C		$3$	$\Q(\sqrt{-3}) $	60.4.1e	$C_{60}$	$C_6$	$6$	6.a1.a1	$10$	1.a1.a1	$60$	$1$	$1$
60.4.1e2	$1$	C		$3$	$\Q(\sqrt{-3}) $	60.4.1e	$C_{60}$	$C_6$	$6$	6.a1.a1	$10$	1.a1.a1	$60$	$1$	$1$
60.4.1f1	$1$	C		$5$	$\Q(\zeta_{5})$	60.4.1f	$C_{60}$	$C_5$	$5$	5.a1.a1	$12$	1.a1.a1	$60$	$1$	$1$
60.4.1f2	$1$	C		$5$	$\Q(\zeta_{5})$	60.4.1f	$C_{60}$	$C_5$	$5$	5.a1.a1	$12$	1.a1.a1	$60$	$1$	$1$
60.4.1f3	$1$	C		$5$	$\Q(\zeta_{5})$	60.4.1f	$C_{60}$	$C_5$	$5$	5.a1.a1	$12$	1.a1.a1	$60$	$1$	$1$
60.4.1f4	$1$	C		$5$	$\Q(\zeta_{5})$	60.4.1f	$C_{60}$	$C_5$	$5$	5.a1.a1	$12$	1.a1.a1	$60$	$1$	$1$
60.4.1g1	$1$	C		$5$	$\Q(\zeta_{5})$	60.4.1g	$C_{60}$	$C_{10}$	$10$	10.a1.a1	$6$	1.a1.a1	$60$	$1$	$1$
60.4.1g2	$1$	C		$5$	$\Q(\zeta_{5})$	60.4.1g	$C_{60}$	$C_{10}$	$10$	10.a1.a1	$6$	1.a1.a1	$60$	$1$	$1$
60.4.1g3	$1$	C		$5$	$\Q(\zeta_{5})$	60.4.1g	$C_{60}$	$C_{10}$	$10$	10.a1.a1	$6$	1.a1.a1	$60$	$1$	$1$
60.4.1g4	$1$	C		$5$	$\Q(\zeta_{5})$	60.4.1g	$C_{60}$	$C_{10}$	$10$	10.a1.a1	$6$	1.a1.a1	$60$	$1$	$1$
60.4.1h1	$1$	C		$12$	$\Q(\sqrt{-1}) $	60.4.1h	$C_{60}$	$C_{12}$	$12$	12.a1.a1	$5$	1.a1.a1	$60$	$1$	$1$
60.4.1h2	$1$	C		$12$	$\Q(\sqrt{-1}) $	60.4.1h	$C_{60}$	$C_{12}$	$12$	12.a1.a1	$5$	1.a1.a1	$60$	$1$	$1$
60.4.1h3	$1$	C		$12$	$\Q(\sqrt{-1}) $	60.4.1h	$C_{60}$	$C_{12}$	$12$	12.a1.a1	$5$	1.a1.a1	$60$	$1$	$1$
60.4.1h4	$1$	C		$12$	$\Q(\sqrt{-1}) $	60.4.1h	$C_{60}$	$C_{12}$	$12$	12.a1.a1	$5$	1.a1.a1	$60$	$1$	$1$
60.4.1i1	$1$	C		$15$	$\Q(\sqrt{-3}) $	60.4.1i	$C_{60}$	$C_{15}$	$15$	15.a1.a1	$4$	1.a1.a1	$60$	$1$	$1$
60.4.1i2	$1$	C		$15$	$\Q(\sqrt{-3}) $	60.4.1i	$C_{60}$	$C_{15}$	$15$	15.a1.a1	$4$	1.a1.a1	$60$	$1$	$1$
60.4.1i3	$1$	C		$15$	$\Q(\sqrt{-3}) $	60.4.1i	$C_{60}$	$C_{15}$	$15$	15.a1.a1	$4$	1.a1.a1	$60$	$1$	$1$
60.4.1i4	$1$	C		$15$	$\Q(\sqrt{-3}) $	60.4.1i	$C_{60}$	$C_{15}$	$15$	15.a1.a1	$4$	1.a1.a1	$60$	$1$	$1$
60.4.1i5	$1$	C		$15$	$\Q(\sqrt{-3}) $	60.4.1i	$C_{60}$	$C_{15}$	$15$	15.a1.a1	$4$	1.a1.a1	$60$	$1$	$1$
60.4.1i6	$1$	C		$15$	$\Q(\sqrt{-3}) $	60.4.1i	$C_{60}$	$C_{15}$	$15$	15.a1.a1	$4$	1.a1.a1	$60$	$1$	$1$
60.4.1i7	$1$	C		$15$	$\Q(\sqrt{-3}) $	60.4.1i	$C_{60}$	$C_{15}$	$15$	15.a1.a1	$4$	1.a1.a1	$60$	$1$	$1$
60.4.1i8	$1$	C		$15$	$\Q(\sqrt{-3}) $	60.4.1i	$C_{60}$	$C_{15}$	$15$	15.a1.a1	$4$	1.a1.a1	$60$	$1$	$1$
60.4.1j1	$1$	C		$20$	$\Q(\sqrt{-1}) $	60.4.1j	$C_{60}$	$C_{20}$	$20$	20.a1.a1	$3$	1.a1.a1	$60$	$1$	$1$
60.4.1j2	$1$	C		$20$	$\Q(\sqrt{-1}) $	60.4.1j	$C_{60}$	$C_{20}$	$20$	20.a1.a1	$3$	1.a1.a1	$60$	$1$	$1$
60.4.1j3	$1$	C		$20$	$\Q(\sqrt{-1}) $	60.4.1j	$C_{60}$	$C_{20}$	$20$	20.a1.a1	$3$	1.a1.a1	$60$	$1$	$1$
60.4.1j4	$1$	C		$20$	$\Q(\sqrt{-1}) $	60.4.1j	$C_{60}$	$C_{20}$	$20$	20.a1.a1	$3$	1.a1.a1	$60$	$1$	$1$
60.4.1j5	$1$	C		$20$	$\Q(\sqrt{-1}) $	60.4.1j	$C_{60}$	$C_{20}$	$20$	20.a1.a1	$3$	1.a1.a1	$60$	$1$	$1$
60.4.1j6	$1$	C		$20$	$\Q(\sqrt{-1}) $	60.4.1j	$C_{60}$	$C_{20}$	$20$	20.a1.a1	$3$	1.a1.a1	$60$	$1$	$1$
60.4.1j7	$1$	C		$20$	$\Q(\sqrt{-1}) $	60.4.1j	$C_{60}$	$C_{20}$	$20$	20.a1.a1	$3$	1.a1.a1	$60$	$1$	$1$
60.4.1j8	$1$	C		$20$	$\Q(\sqrt{-1}) $	60.4.1j	$C_{60}$	$C_{20}$	$20$	20.a1.a1	$3$	1.a1.a1	$60$	$1$	$1$
60.4.1k1	$1$	C		$15$	$\Q(\sqrt{-3}) $	60.4.1k	$C_{60}$	$C_{30}$	$30$	30.a1.a1	$2$	1.a1.a1	$60$	$1$	$1$
60.4.1k2	$1$	C		$15$	$\Q(\sqrt{-3}) $	60.4.1k	$C_{60}$	$C_{30}$	$30$	30.a1.a1	$2$	1.a1.a1	$60$	$1$	$1$
60.4.1k3	$1$	C		$15$	$\Q(\sqrt{-3}) $	60.4.1k	$C_{60}$	$C_{30}$	$30$	30.a1.a1	$2$	1.a1.a1	$60$	$1$	$1$
60.4.1k4	$1$	C		$15$	$\Q(\sqrt{-3}) $	60.4.1k	$C_{60}$	$C_{30}$	$30$	30.a1.a1	$2$	1.a1.a1	$60$	$1$	$1$
60.4.1k5	$1$	C		$15$	$\Q(\sqrt{-3}) $	60.4.1k	$C_{60}$	$C_{30}$	$30$	30.a1.a1	$2$	1.a1.a1	$60$	$1$	$1$
60.4.1k6	$1$	C		$15$	$\Q(\sqrt{-3}) $	60.4.1k	$C_{60}$	$C_{30}$	$30$	30.a1.a1	$2$	1.a1.a1	$60$	$1$	$1$
60.4.1k7	$1$	C		$15$	$\Q(\sqrt{-3}) $	60.4.1k	$C_{60}$	$C_{30}$	$30$	30.a1.a1	$2$	1.a1.a1	$60$	$1$	$1$
60.4.1k8	$1$	C		$15$	$\Q(\sqrt{-3}) $	60.4.1k	$C_{60}$	$C_{30}$	$30$	30.a1.a1	$2$	1.a1.a1	$60$	$1$	$1$
60.4.1l1	$1$	C	✓	$60$	$\Q(\sqrt{-1}) $	60.4.1l	$C_{60}$	$C_{60}$	$60$	60.a1.a1	$1$	1.a1.a1	$60$	$1$	$1$
60.4.1l10	$1$	C	✓	$60$	$\Q(\sqrt{-1}) $	60.4.1l	$C_{60}$	$C_{60}$	$60$	60.a1.a1	$1$	1.a1.a1	$60$	$1$	$1$
60.4.1l11	$1$	C	✓	$60$	$\Q(\sqrt{-1}) $	60.4.1l	$C_{60}$	$C_{60}$	$60$	60.a1.a1	$1$	1.a1.a1	$60$	$1$	$1$
60.4.1l12	$1$	C	✓	$60$	$\Q(\sqrt{-1}) $	60.4.1l	$C_{60}$	$C_{60}$	$60$	60.a1.a1	$1$	1.a1.a1	$60$	$1$	$1$
60.4.1l13	$1$	C	✓	$60$	$\Q(\sqrt{-1}) $	60.4.1l	$C_{60}$	$C_{60}$	$60$	60.a1.a1	$1$	1.a1.a1	$60$	$1$	$1$
60.4.1l14	$1$	C	✓	$60$	$\Q(\sqrt{-1}) $	60.4.1l	$C_{60}$	$C_{60}$	$60$	60.a1.a1	$1$	1.a1.a1	$60$	$1$	$1$

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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	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
60.4.1a	$1$	R		$1$	\(\Q\)	60.4.1a	$C_{60}$	$C_1$	$1$	1.a1.a1	$60$	1.a1.a1	$60$	$1$	$1$
60.4.1b	$1$	R		$1$	\(\Q\)	60.4.1b	$C_{60}$	$C_2$	$2$	2.a1.a1	$30$	1.a1.a1	$60$	$1$	$1$
60.4.1c1	$1$	C		$3$	\(\Q(\sqrt{-3}) \)	60.4.1c	$C_{60}$	$C_3$	$3$	3.a1.a1	$20$	1.a1.a1	$60$	$1$	$1$
60.4.1c2	$1$	C		$3$	\(\Q(\sqrt{-3}) \)	60.4.1c	$C_{60}$	$C_3$	$3$	3.a1.a1	$20$	1.a1.a1	$60$	$1$	$1$
60.4.1d1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	60.4.1d	$C_{60}$	$C_4$	$4$	4.a1.a1	$15$	1.a1.a1	$60$	$1$	$1$
60.4.1d2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	60.4.1d	$C_{60}$	$C_4$	$4$	4.a1.a1	$15$	1.a1.a1	$60$	$1$	$1$
60.4.1e1	$1$	C		$3$	\(\Q(\sqrt{-3}) \)	60.4.1e	$C_{60}$	$C_6$	$6$	6.a1.a1	$10$	1.a1.a1	$60$	$1$	$1$
60.4.1e2	$1$	C		$3$	\(\Q(\sqrt{-3}) \)	60.4.1e	$C_{60}$	$C_6$	$6$	6.a1.a1	$10$	1.a1.a1	$60$	$1$	$1$
60.4.1f1	$1$	C		$5$	\(\Q(\zeta_{5})\)	60.4.1f	$C_{60}$	$C_5$	$5$	5.a1.a1	$12$	1.a1.a1	$60$	$1$	$1$
60.4.1f2	$1$	C		$5$	\(\Q(\zeta_{5})\)	60.4.1f	$C_{60}$	$C_5$	$5$	5.a1.a1	$12$	1.a1.a1	$60$	$1$	$1$
60.4.1f3	$1$	C		$5$	\(\Q(\zeta_{5})\)	60.4.1f	$C_{60}$	$C_5$	$5$	5.a1.a1	$12$	1.a1.a1	$60$	$1$	$1$
60.4.1f4	$1$	C		$5$	\(\Q(\zeta_{5})\)	60.4.1f	$C_{60}$	$C_5$	$5$	5.a1.a1	$12$	1.a1.a1	$60$	$1$	$1$
60.4.1g1	$1$	C		$5$	\(\Q(\zeta_{5})\)	60.4.1g	$C_{60}$	$C_{10}$	$10$	10.a1.a1	$6$	1.a1.a1	$60$	$1$	$1$
60.4.1g2	$1$	C		$5$	\(\Q(\zeta_{5})\)	60.4.1g	$C_{60}$	$C_{10}$	$10$	10.a1.a1	$6$	1.a1.a1	$60$	$1$	$1$
60.4.1g3	$1$	C		$5$	\(\Q(\zeta_{5})\)	60.4.1g	$C_{60}$	$C_{10}$	$10$	10.a1.a1	$6$	1.a1.a1	$60$	$1$	$1$
60.4.1g4	$1$	C		$5$	\(\Q(\zeta_{5})\)	60.4.1g	$C_{60}$	$C_{10}$	$10$	10.a1.a1	$6$	1.a1.a1	$60$	$1$	$1$
60.4.1h1	$1$	C		$12$	\(\Q(\sqrt{-1}) \)	60.4.1h	$C_{60}$	$C_{12}$	$12$	12.a1.a1	$5$	1.a1.a1	$60$	$1$	$1$
60.4.1h2	$1$	C		$12$	\(\Q(\sqrt{-1}) \)	60.4.1h	$C_{60}$	$C_{12}$	$12$	12.a1.a1	$5$	1.a1.a1	$60$	$1$	$1$
60.4.1h3	$1$	C		$12$	\(\Q(\sqrt{-1}) \)	60.4.1h	$C_{60}$	$C_{12}$	$12$	12.a1.a1	$5$	1.a1.a1	$60$	$1$	$1$
60.4.1h4	$1$	C		$12$	\(\Q(\sqrt{-1}) \)	60.4.1h	$C_{60}$	$C_{12}$	$12$	12.a1.a1	$5$	1.a1.a1	$60$	$1$	$1$
60.4.1i1	$1$	C		$15$	\(\Q(\sqrt{-3}) \)	60.4.1i	$C_{60}$	$C_{15}$	$15$	15.a1.a1	$4$	1.a1.a1	$60$	$1$	$1$
60.4.1i2	$1$	C		$15$	\(\Q(\sqrt{-3}) \)	60.4.1i	$C_{60}$	$C_{15}$	$15$	15.a1.a1	$4$	1.a1.a1	$60$	$1$	$1$
60.4.1i3	$1$	C		$15$	\(\Q(\sqrt{-3}) \)	60.4.1i	$C_{60}$	$C_{15}$	$15$	15.a1.a1	$4$	1.a1.a1	$60$	$1$	$1$
60.4.1i4	$1$	C		$15$	\(\Q(\sqrt{-3}) \)	60.4.1i	$C_{60}$	$C_{15}$	$15$	15.a1.a1	$4$	1.a1.a1	$60$	$1$	$1$
60.4.1i5	$1$	C		$15$	\(\Q(\sqrt{-3}) \)	60.4.1i	$C_{60}$	$C_{15}$	$15$	15.a1.a1	$4$	1.a1.a1	$60$	$1$	$1$
60.4.1i6	$1$	C		$15$	\(\Q(\sqrt{-3}) \)	60.4.1i	$C_{60}$	$C_{15}$	$15$	15.a1.a1	$4$	1.a1.a1	$60$	$1$	$1$
60.4.1i7	$1$	C		$15$	\(\Q(\sqrt{-3}) \)	60.4.1i	$C_{60}$	$C_{15}$	$15$	15.a1.a1	$4$	1.a1.a1	$60$	$1$	$1$
60.4.1i8	$1$	C		$15$	\(\Q(\sqrt{-3}) \)	60.4.1i	$C_{60}$	$C_{15}$	$15$	15.a1.a1	$4$	1.a1.a1	$60$	$1$	$1$
60.4.1j1	$1$	C		$20$	\(\Q(\sqrt{-1}) \)	60.4.1j	$C_{60}$	$C_{20}$	$20$	20.a1.a1	$3$	1.a1.a1	$60$	$1$	$1$
60.4.1j2	$1$	C		$20$	\(\Q(\sqrt{-1}) \)	60.4.1j	$C_{60}$	$C_{20}$	$20$	20.a1.a1	$3$	1.a1.a1	$60$	$1$	$1$
60.4.1j3	$1$	C		$20$	\(\Q(\sqrt{-1}) \)	60.4.1j	$C_{60}$	$C_{20}$	$20$	20.a1.a1	$3$	1.a1.a1	$60$	$1$	$1$
60.4.1j4	$1$	C		$20$	\(\Q(\sqrt{-1}) \)	60.4.1j	$C_{60}$	$C_{20}$	$20$	20.a1.a1	$3$	1.a1.a1	$60$	$1$	$1$
60.4.1j5	$1$	C		$20$	\(\Q(\sqrt{-1}) \)	60.4.1j	$C_{60}$	$C_{20}$	$20$	20.a1.a1	$3$	1.a1.a1	$60$	$1$	$1$
60.4.1j6	$1$	C		$20$	\(\Q(\sqrt{-1}) \)	60.4.1j	$C_{60}$	$C_{20}$	$20$	20.a1.a1	$3$	1.a1.a1	$60$	$1$	$1$
60.4.1j7	$1$	C		$20$	\(\Q(\sqrt{-1}) \)	60.4.1j	$C_{60}$	$C_{20}$	$20$	20.a1.a1	$3$	1.a1.a1	$60$	$1$	$1$
60.4.1j8	$1$	C		$20$	\(\Q(\sqrt{-1}) \)	60.4.1j	$C_{60}$	$C_{20}$	$20$	20.a1.a1	$3$	1.a1.a1	$60$	$1$	$1$
60.4.1k1	$1$	C		$15$	\(\Q(\sqrt{-3}) \)	60.4.1k	$C_{60}$	$C_{30}$	$30$	30.a1.a1	$2$	1.a1.a1	$60$	$1$	$1$
60.4.1k2	$1$	C		$15$	\(\Q(\sqrt{-3}) \)	60.4.1k	$C_{60}$	$C_{30}$	$30$	30.a1.a1	$2$	1.a1.a1	$60$	$1$	$1$
60.4.1k3	$1$	C		$15$	\(\Q(\sqrt{-3}) \)	60.4.1k	$C_{60}$	$C_{30}$	$30$	30.a1.a1	$2$	1.a1.a1	$60$	$1$	$1$
60.4.1k4	$1$	C		$15$	\(\Q(\sqrt{-3}) \)	60.4.1k	$C_{60}$	$C_{30}$	$30$	30.a1.a1	$2$	1.a1.a1	$60$	$1$	$1$
60.4.1k5	$1$	C		$15$	\(\Q(\sqrt{-3}) \)	60.4.1k	$C_{60}$	$C_{30}$	$30$	30.a1.a1	$2$	1.a1.a1	$60$	$1$	$1$
60.4.1k6	$1$	C		$15$	\(\Q(\sqrt{-3}) \)	60.4.1k	$C_{60}$	$C_{30}$	$30$	30.a1.a1	$2$	1.a1.a1	$60$	$1$	$1$
60.4.1k7	$1$	C		$15$	\(\Q(\sqrt{-3}) \)	60.4.1k	$C_{60}$	$C_{30}$	$30$	30.a1.a1	$2$	1.a1.a1	$60$	$1$	$1$
60.4.1k8	$1$	C		$15$	\(\Q(\sqrt{-3}) \)	60.4.1k	$C_{60}$	$C_{30}$	$30$	30.a1.a1	$2$	1.a1.a1	$60$	$1$	$1$
60.4.1l1	$1$	C	✓	$60$	\(\Q(\sqrt{-1}) \)	60.4.1l	$C_{60}$	$C_{60}$	$60$	60.a1.a1	$1$	1.a1.a1	$60$	$1$	$1$
60.4.1l10	$1$	C	✓	$60$	\(\Q(\sqrt{-1}) \)	60.4.1l	$C_{60}$	$C_{60}$	$60$	60.a1.a1	$1$	1.a1.a1	$60$	$1$	$1$
60.4.1l11	$1$	C	✓	$60$	\(\Q(\sqrt{-1}) \)	60.4.1l	$C_{60}$	$C_{60}$	$60$	60.a1.a1	$1$	1.a1.a1	$60$	$1$	$1$
60.4.1l12	$1$	C	✓	$60$	\(\Q(\sqrt{-1}) \)	60.4.1l	$C_{60}$	$C_{60}$	$60$	60.a1.a1	$1$	1.a1.a1	$60$	$1$	$1$
60.4.1l13	$1$	C	✓	$60$	\(\Q(\sqrt{-1}) \)	60.4.1l	$C_{60}$	$C_{60}$	$60$	60.a1.a1	$1$	1.a1.a1	$60$	$1$	$1$
60.4.1l14	$1$	C	✓	$60$	\(\Q(\sqrt{-1}) \)	60.4.1l	$C_{60}$	$C_{60}$	$60$	60.a1.a1	$1$	1.a1.a1	$60$	$1$	$1$