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Results (1-50 of 84 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
480.60.1a	$1$	R	$1$	$\Q$	480.60.1a	$C_{12}.D_{20}$	$C_1$	$1$	1.a1.a1	$480$	1.a1.a1	$480$	$1$	$1$
480.60.1b	$1$	R	$1$	$\Q$	480.60.1b	$C_{12}.D_{20}$	$C_2$	$2$	2.c1.a1	$240$	1.a1.a1	$480$	$1$	$1$
480.60.1c	$1$	R	$1$	$\Q$	480.60.1c	$C_{12}.D_{20}$	$C_2$	$2$	2.b1.a1	$240$	1.a1.a1	$480$	$1$	$1$
480.60.1d	$1$	R	$1$	$\Q$	480.60.1d	$C_{12}.D_{20}$	$C_2$	$2$	2.a1.a1	$240$	1.a1.a1	$480$	$1$	$1$
480.60.1e1	$1$	C	$4$	$\Q(\sqrt{-1}) $	480.60.1e	$C_{12}.D_{20}$	$C_4$	$4$	4.c1.a1	$120$	1.a1.a1	$480$	$1$	$1$
480.60.1e2	$1$	C	$4$	$\Q(\sqrt{-1}) $	480.60.1e	$C_{12}.D_{20}$	$C_4$	$4$	4.c1.a1	$120$	1.a1.a1	$480$	$1$	$1$
480.60.1f1	$1$	C	$4$	$\Q(\sqrt{-1}) $	480.60.1f	$C_{12}.D_{20}$	$C_4$	$4$	4.b1.a1	$120$	1.a1.a1	$480$	$1$	$1$
480.60.1f2	$1$	C	$4$	$\Q(\sqrt{-1}) $	480.60.1f	$C_{12}.D_{20}$	$C_4$	$4$	4.b1.a1	$120$	1.a1.a1	$480$	$1$	$1$
480.60.1g1	$1$	C	$8$	$\Q(\zeta_{8})$	480.60.1g	$C_{12}.D_{20}$	$C_8$	$8$	8.b1.b1	$60$	1.a1.a1	$480$	$1$	$1$
480.60.1g2	$1$	C	$8$	$\Q(\zeta_{8})$	480.60.1g	$C_{12}.D_{20}$	$C_8$	$8$	8.b1.b1	$60$	1.a1.a1	$480$	$1$	$1$
480.60.1g3	$1$	C	$8$	$\Q(\zeta_{8})$	480.60.1g	$C_{12}.D_{20}$	$C_8$	$8$	8.b1.b1	$60$	1.a1.a1	$480$	$1$	$1$
480.60.1g4	$1$	C	$8$	$\Q(\zeta_{8})$	480.60.1g	$C_{12}.D_{20}$	$C_8$	$8$	8.b1.b1	$60$	1.a1.a1	$480$	$1$	$1$
480.60.1h1	$1$	C	$8$	$\Q(\zeta_{8})$	480.60.1h	$C_{12}.D_{20}$	$C_8$	$8$	8.b1.a1	$60$	1.a1.a1	$480$	$1$	$1$
480.60.1h2	$1$	C	$8$	$\Q(\zeta_{8})$	480.60.1h	$C_{12}.D_{20}$	$C_8$	$8$	8.b1.a1	$60$	1.a1.a1	$480$	$1$	$1$
480.60.1h3	$1$	C	$8$	$\Q(\zeta_{8})$	480.60.1h	$C_{12}.D_{20}$	$C_8$	$8$	8.b1.a1	$60$	1.a1.a1	$480$	$1$	$1$
480.60.1h4	$1$	C	$8$	$\Q(\zeta_{8})$	480.60.1h	$C_{12}.D_{20}$	$C_8$	$8$	8.b1.a1	$60$	1.a1.a1	$480$	$1$	$1$
480.60.2a	$2$	R	$1$	$\Q$	480.60.2a	$C_{12}.D_{20}$	$S_3$	$6$	6.a1.a1	$80$	6.a1.a1	$80$	$6$	$1$
480.60.2b	$2$	R	$1$	$\Q$	480.60.2b	$C_{12}.D_{20}$	$D_4$	$8$	8.c1.a1	$60$	4.a1.a1	$120$	$4$	$1$
480.60.2c	$2$	R	$1$	$\Q$	480.60.2c	$C_{12}.D_{20}$	$D_6$	$12$	12.a1.a1	$40$	6.a1.a1	$80$	$6$	$1$
480.60.2d	$2$	S	$1$	$\Q$	480.60.2d	$C_{12}.D_{20}$	$Q_8$	$8$	8.d1.a1	$60$	4.a1.a1	$120$	$4$	$2$
480.60.2e1	$2$	R	$5$	$\Q(\sqrt{5}) $	480.60.2e	$C_{12}.D_{20}$	$D_5$	$10$	10.a1.a1	$48$	10.a1.a1	$48$	$10$	$1$
480.60.2e2	$2$	R	$5$	$\Q(\sqrt{5}) $	480.60.2e	$C_{12}.D_{20}$	$D_5$	$10$	10.a1.a1	$48$	10.a1.a1	$48$	$10$	$1$
480.60.2f1	$2$	C	$4$	$\Q(\sqrt{-1}) $	480.60.2f	$C_{12}.D_{20}$	$\OD_{16}$	$16$	16.b1.a1	$30$	4.a1.a1	$120$	$4$	$1$
480.60.2f2	$2$	C	$4$	$\Q(\sqrt{-1}) $	480.60.2f	$C_{12}.D_{20}$	$\OD_{16}$	$16$	16.b1.a1	$30$	4.a1.a1	$120$	$4$	$1$
480.60.2g1	$2$	R	$5$	$\Q(\sqrt{5}) $	480.60.2g	$C_{12}.D_{20}$	$D_{10}$	$20$	20.a1.a1	$24$	10.a1.a1	$48$	$10$	$1$
480.60.2g2	$2$	R	$5$	$\Q(\sqrt{5}) $	480.60.2g	$C_{12}.D_{20}$	$D_{10}$	$20$	20.a1.a1	$24$	10.a1.a1	$48$	$10$	$1$
480.60.2h1	$2$	C	$4$	$\Q(\sqrt{-1}) $	480.60.2h	$C_{12}.D_{20}$	$C_4\times S_3$	$24$	24.a1.a1	$20$	6.a1.a1	$80$	$6$	$1$
480.60.2h2	$2$	C	$4$	$\Q(\sqrt{-1}) $	480.60.2h	$C_{12}.D_{20}$	$C_4\times S_3$	$24$	24.a1.a1	$20$	6.a1.a1	$80$	$6$	$1$
480.60.2i1	$2$	C	$3$	$\Q(\sqrt{-3}) $	480.60.2i	$C_{12}.D_{20}$	$C_3:D_4$	$24$	24.b1.a1	$20$	12.a1.a1	$40$	$12$	$1$
480.60.2i2	$2$	C	$3$	$\Q(\sqrt{-3}) $	480.60.2i	$C_{12}.D_{20}$	$C_3:D_4$	$24$	24.b1.a1	$20$	12.a1.a1	$40$	$12$	$1$
480.60.2j1	$2$	S	$5$	$\Q(\sqrt{5}) $	480.60.2j	$C_{12}.D_{20}$	$C_5:C_4$	$20$	20.c1.a1	$24$	10.a1.a1	$48$	$10$	$2$
480.60.2j2	$2$	S	$5$	$\Q(\sqrt{5}) $	480.60.2j	$C_{12}.D_{20}$	$C_5:C_4$	$20$	20.c1.a1	$24$	10.a1.a1	$48$	$10$	$2$
480.60.2k1	$2$	S	$5$	$\Q(\sqrt{5}) $	480.60.2k	$C_{12}.D_{20}$	$C_5:C_4$	$20$	20.b1.a1	$24$	10.a1.a1	$48$	$10$	$2$
480.60.2k2	$2$	S	$5$	$\Q(\sqrt{5}) $	480.60.2k	$C_{12}.D_{20}$	$C_5:C_4$	$20$	20.b1.a1	$24$	10.a1.a1	$48$	$10$	$2$
480.60.2l1	$2$	S	$12$	$\Q(\sqrt{3}) $	480.60.2l	$C_{12}.D_{20}$	$C_3:Q_8$	$24$	24.c1.a1	$20$	12.a1.a1	$40$	$12$	$2$
480.60.2l2	$2$	S	$12$	$\Q(\sqrt{3}) $	480.60.2l	$C_{12}.D_{20}$	$C_3:Q_8$	$24$	24.c1.a1	$20$	12.a1.a1	$40$	$12$	$2$
480.60.2m1	$2$	R	$20$	$\Q(\zeta_{20})^+$	480.60.2m	$C_{12}.D_{20}$	$D_{20}$	$40$	40.c1.a1	$12$	20.a1.a1	$24$	$20$	$1$
480.60.2m2	$2$	R	$20$	$\Q(\zeta_{20})^+$	480.60.2m	$C_{12}.D_{20}$	$D_{20}$	$40$	40.c1.a1	$12$	20.a1.a1	$24$	$20$	$1$
480.60.2m3	$2$	R	$20$	$\Q(\zeta_{20})^+$	480.60.2m	$C_{12}.D_{20}$	$D_{20}$	$40$	40.c1.a1	$12$	20.a1.a1	$24$	$20$	$1$
480.60.2m4	$2$	R	$20$	$\Q(\zeta_{20})^+$	480.60.2m	$C_{12}.D_{20}$	$D_{20}$	$40$	40.c1.a1	$12$	20.a1.a1	$24$	$20$	$1$
480.60.2n1	$2$	C	$24$	$\Q(i, \sqrt{6})$	480.60.2n	$C_{12}.D_{20}$	$C_{24}:C_2$	$48$	48.b1.a1	$10$	12.a1.a1	$40$	$12$	$1$
480.60.2n2	$2$	C	$24$	$\Q(i, \sqrt{6})$	480.60.2n	$C_{12}.D_{20}$	$C_{24}:C_2$	$48$	48.b1.a1	$10$	12.a1.a1	$40$	$12$	$1$
480.60.2n3	$2$	C	$24$	$\Q(i, \sqrt{6})$	480.60.2n	$C_{12}.D_{20}$	$C_{24}:C_2$	$48$	48.b1.a1	$10$	12.a1.a1	$40$	$12$	$1$
480.60.2n4	$2$	C	$24$	$\Q(i, \sqrt{6})$	480.60.2n	$C_{12}.D_{20}$	$C_{24}:C_2$	$48$	48.b1.a1	$10$	12.a1.a1	$40$	$12$	$1$
480.60.2o1	$2$	C	$8$	$\Q(\zeta_{8})$	480.60.2o	$C_{12}.D_{20}$	$S_3\times C_8$	$48$	48.a1.a1	$10$	6.a1.a1	$80$	$6$	$1$
480.60.2o2	$2$	C	$8$	$\Q(\zeta_{8})$	480.60.2o	$C_{12}.D_{20}$	$S_3\times C_8$	$48$	48.a1.a1	$10$	6.a1.a1	$80$	$6$	$1$
480.60.2o3	$2$	C	$8$	$\Q(\zeta_{8})$	480.60.2o	$C_{12}.D_{20}$	$S_3\times C_8$	$48$	48.a1.a1	$10$	6.a1.a1	$80$	$6$	$1$
480.60.2o4	$2$	C	$8$	$\Q(\zeta_{8})$	480.60.2o	$C_{12}.D_{20}$	$S_3\times C_8$	$48$	48.a1.a1	$10$	6.a1.a1	$80$	$6$	$1$
480.60.2p1	$2$	C	$20$	$\Q(i, \sqrt{5})$	480.60.2p	$C_{12}.D_{20}$	$C_5:C_8$	$40$	40.b1.b1	$12$	10.a1.a1	$48$	$10$	$2$
480.60.2p2	$2$	C	$20$	$\Q(i, \sqrt{5})$	480.60.2p	$C_{12}.D_{20}$	$C_5:C_8$	$40$	40.b1.b1	$12$	10.a1.a1	$48$	$10$	$2$

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Results (1-50 of 84 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	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
480.60.1a	$1$	R	$1$	\(\Q\)	480.60.1a	$C_{12}.D_{20}$	$C_1$	$1$	1.a1.a1	$480$	1.a1.a1	$480$	$1$	$1$
480.60.1b	$1$	R	$1$	\(\Q\)	480.60.1b	$C_{12}.D_{20}$	$C_2$	$2$	2.c1.a1	$240$	1.a1.a1	$480$	$1$	$1$
480.60.1c	$1$	R	$1$	\(\Q\)	480.60.1c	$C_{12}.D_{20}$	$C_2$	$2$	2.b1.a1	$240$	1.a1.a1	$480$	$1$	$1$
480.60.1d	$1$	R	$1$	\(\Q\)	480.60.1d	$C_{12}.D_{20}$	$C_2$	$2$	2.a1.a1	$240$	1.a1.a1	$480$	$1$	$1$
480.60.1e1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	480.60.1e	$C_{12}.D_{20}$	$C_4$	$4$	4.c1.a1	$120$	1.a1.a1	$480$	$1$	$1$
480.60.1e2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	480.60.1e	$C_{12}.D_{20}$	$C_4$	$4$	4.c1.a1	$120$	1.a1.a1	$480$	$1$	$1$
480.60.1f1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	480.60.1f	$C_{12}.D_{20}$	$C_4$	$4$	4.b1.a1	$120$	1.a1.a1	$480$	$1$	$1$
480.60.1f2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	480.60.1f	$C_{12}.D_{20}$	$C_4$	$4$	4.b1.a1	$120$	1.a1.a1	$480$	$1$	$1$
480.60.1g1	$1$	C	$8$	\(\Q(\zeta_{8})\)	480.60.1g	$C_{12}.D_{20}$	$C_8$	$8$	8.b1.b1	$60$	1.a1.a1	$480$	$1$	$1$
480.60.1g2	$1$	C	$8$	\(\Q(\zeta_{8})\)	480.60.1g	$C_{12}.D_{20}$	$C_8$	$8$	8.b1.b1	$60$	1.a1.a1	$480$	$1$	$1$
480.60.1g3	$1$	C	$8$	\(\Q(\zeta_{8})\)	480.60.1g	$C_{12}.D_{20}$	$C_8$	$8$	8.b1.b1	$60$	1.a1.a1	$480$	$1$	$1$
480.60.1g4	$1$	C	$8$	\(\Q(\zeta_{8})\)	480.60.1g	$C_{12}.D_{20}$	$C_8$	$8$	8.b1.b1	$60$	1.a1.a1	$480$	$1$	$1$
480.60.1h1	$1$	C	$8$	\(\Q(\zeta_{8})\)	480.60.1h	$C_{12}.D_{20}$	$C_8$	$8$	8.b1.a1	$60$	1.a1.a1	$480$	$1$	$1$
480.60.1h2	$1$	C	$8$	\(\Q(\zeta_{8})\)	480.60.1h	$C_{12}.D_{20}$	$C_8$	$8$	8.b1.a1	$60$	1.a1.a1	$480$	$1$	$1$
480.60.1h3	$1$	C	$8$	\(\Q(\zeta_{8})\)	480.60.1h	$C_{12}.D_{20}$	$C_8$	$8$	8.b1.a1	$60$	1.a1.a1	$480$	$1$	$1$
480.60.1h4	$1$	C	$8$	\(\Q(\zeta_{8})\)	480.60.1h	$C_{12}.D_{20}$	$C_8$	$8$	8.b1.a1	$60$	1.a1.a1	$480$	$1$	$1$
480.60.2a	$2$	R	$1$	\(\Q\)	480.60.2a	$C_{12}.D_{20}$	$S_3$	$6$	6.a1.a1	$80$	6.a1.a1	$80$	$6$	$1$
480.60.2b	$2$	R	$1$	\(\Q\)	480.60.2b	$C_{12}.D_{20}$	$D_4$	$8$	8.c1.a1	$60$	4.a1.a1	$120$	$4$	$1$
480.60.2c	$2$	R	$1$	\(\Q\)	480.60.2c	$C_{12}.D_{20}$	$D_6$	$12$	12.a1.a1	$40$	6.a1.a1	$80$	$6$	$1$
480.60.2d	$2$	S	$1$	\(\Q\)	480.60.2d	$C_{12}.D_{20}$	$Q_8$	$8$	8.d1.a1	$60$	4.a1.a1	$120$	$4$	$2$
480.60.2e1	$2$	R	$5$	\(\Q(\sqrt{5}) \)	480.60.2e	$C_{12}.D_{20}$	$D_5$	$10$	10.a1.a1	$48$	10.a1.a1	$48$	$10$	$1$
480.60.2e2	$2$	R	$5$	\(\Q(\sqrt{5}) \)	480.60.2e	$C_{12}.D_{20}$	$D_5$	$10$	10.a1.a1	$48$	10.a1.a1	$48$	$10$	$1$
480.60.2f1	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	480.60.2f	$C_{12}.D_{20}$	$\OD_{16}$	$16$	16.b1.a1	$30$	4.a1.a1	$120$	$4$	$1$
480.60.2f2	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	480.60.2f	$C_{12}.D_{20}$	$\OD_{16}$	$16$	16.b1.a1	$30$	4.a1.a1	$120$	$4$	$1$
480.60.2g1	$2$	R	$5$	\(\Q(\sqrt{5}) \)	480.60.2g	$C_{12}.D_{20}$	$D_{10}$	$20$	20.a1.a1	$24$	10.a1.a1	$48$	$10$	$1$
480.60.2g2	$2$	R	$5$	\(\Q(\sqrt{5}) \)	480.60.2g	$C_{12}.D_{20}$	$D_{10}$	$20$	20.a1.a1	$24$	10.a1.a1	$48$	$10$	$1$
480.60.2h1	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	480.60.2h	$C_{12}.D_{20}$	$C_4\times S_3$	$24$	24.a1.a1	$20$	6.a1.a1	$80$	$6$	$1$
480.60.2h2	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	480.60.2h	$C_{12}.D_{20}$	$C_4\times S_3$	$24$	24.a1.a1	$20$	6.a1.a1	$80$	$6$	$1$
480.60.2i1	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	480.60.2i	$C_{12}.D_{20}$	$C_3:D_4$	$24$	24.b1.a1	$20$	12.a1.a1	$40$	$12$	$1$
480.60.2i2	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	480.60.2i	$C_{12}.D_{20}$	$C_3:D_4$	$24$	24.b1.a1	$20$	12.a1.a1	$40$	$12$	$1$
480.60.2j1	$2$	S	$5$	\(\Q(\sqrt{5}) \)	480.60.2j	$C_{12}.D_{20}$	$C_5:C_4$	$20$	20.c1.a1	$24$	10.a1.a1	$48$	$10$	$2$
480.60.2j2	$2$	S	$5$	\(\Q(\sqrt{5}) \)	480.60.2j	$C_{12}.D_{20}$	$C_5:C_4$	$20$	20.c1.a1	$24$	10.a1.a1	$48$	$10$	$2$
480.60.2k1	$2$	S	$5$	\(\Q(\sqrt{5}) \)	480.60.2k	$C_{12}.D_{20}$	$C_5:C_4$	$20$	20.b1.a1	$24$	10.a1.a1	$48$	$10$	$2$
480.60.2k2	$2$	S	$5$	\(\Q(\sqrt{5}) \)	480.60.2k	$C_{12}.D_{20}$	$C_5:C_4$	$20$	20.b1.a1	$24$	10.a1.a1	$48$	$10$	$2$
480.60.2l1	$2$	S	$12$	\(\Q(\sqrt{3}) \)	480.60.2l	$C_{12}.D_{20}$	$C_3:Q_8$	$24$	24.c1.a1	$20$	12.a1.a1	$40$	$12$	$2$
480.60.2l2	$2$	S	$12$	\(\Q(\sqrt{3}) \)	480.60.2l	$C_{12}.D_{20}$	$C_3:Q_8$	$24$	24.c1.a1	$20$	12.a1.a1	$40$	$12$	$2$
480.60.2m1	$2$	R	$20$	\(\Q(\zeta_{20})^+\)	480.60.2m	$C_{12}.D_{20}$	$D_{20}$	$40$	40.c1.a1	$12$	20.a1.a1	$24$	$20$	$1$
480.60.2m2	$2$	R	$20$	\(\Q(\zeta_{20})^+\)	480.60.2m	$C_{12}.D_{20}$	$D_{20}$	$40$	40.c1.a1	$12$	20.a1.a1	$24$	$20$	$1$
480.60.2m3	$2$	R	$20$	\(\Q(\zeta_{20})^+\)	480.60.2m	$C_{12}.D_{20}$	$D_{20}$	$40$	40.c1.a1	$12$	20.a1.a1	$24$	$20$	$1$
480.60.2m4	$2$	R	$20$	\(\Q(\zeta_{20})^+\)	480.60.2m	$C_{12}.D_{20}$	$D_{20}$	$40$	40.c1.a1	$12$	20.a1.a1	$24$	$20$	$1$
480.60.2n1	$2$	C	$24$	\(\Q(i, \sqrt{6})\)	480.60.2n	$C_{12}.D_{20}$	$C_{24}:C_2$	$48$	48.b1.a1	$10$	12.a1.a1	$40$	$12$	$1$
480.60.2n2	$2$	C	$24$	\(\Q(i, \sqrt{6})\)	480.60.2n	$C_{12}.D_{20}$	$C_{24}:C_2$	$48$	48.b1.a1	$10$	12.a1.a1	$40$	$12$	$1$
480.60.2n3	$2$	C	$24$	\(\Q(i, \sqrt{6})\)	480.60.2n	$C_{12}.D_{20}$	$C_{24}:C_2$	$48$	48.b1.a1	$10$	12.a1.a1	$40$	$12$	$1$
480.60.2n4	$2$	C	$24$	\(\Q(i, \sqrt{6})\)	480.60.2n	$C_{12}.D_{20}$	$C_{24}:C_2$	$48$	48.b1.a1	$10$	12.a1.a1	$40$	$12$	$1$
480.60.2o1	$2$	C	$8$	\(\Q(\zeta_{8})\)	480.60.2o	$C_{12}.D_{20}$	$S_3\times C_8$	$48$	48.a1.a1	$10$	6.a1.a1	$80$	$6$	$1$
480.60.2o2	$2$	C	$8$	\(\Q(\zeta_{8})\)	480.60.2o	$C_{12}.D_{20}$	$S_3\times C_8$	$48$	48.a1.a1	$10$	6.a1.a1	$80$	$6$	$1$
480.60.2o3	$2$	C	$8$	\(\Q(\zeta_{8})\)	480.60.2o	$C_{12}.D_{20}$	$S_3\times C_8$	$48$	48.a1.a1	$10$	6.a1.a1	$80$	$6$	$1$
480.60.2o4	$2$	C	$8$	\(\Q(\zeta_{8})\)	480.60.2o	$C_{12}.D_{20}$	$S_3\times C_8$	$48$	48.a1.a1	$10$	6.a1.a1	$80$	$6$	$1$
480.60.2p1	$2$	C	$20$	\(\Q(i, \sqrt{5})\)	480.60.2p	$C_{12}.D_{20}$	$C_5:C_8$	$40$	40.b1.b1	$12$	10.a1.a1	$48$	$10$	$2$
480.60.2p2	$2$	C	$20$	\(\Q(i, \sqrt{5})\)	480.60.2p	$C_{12}.D_{20}$	$C_5:C_8$	$40$	40.b1.b1	$12$	10.a1.a1	$48$	$10$	$2$