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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
720.651.1a	$1$	R	$1$	$\Q$	720.651.1a	$C_{60}:D_6$	$C_1$	$1$	1.a1	$720$	1.a1	$720$	$1$	$1$
720.651.1b	$1$	R	$1$	$\Q$	720.651.1b	$C_{60}:D_6$	$C_2$	$2$	2.d1	$360$	1.a1	$720$	$1$	$1$
720.651.1c	$1$	R	$1$	$\Q$	720.651.1c	$C_{60}:D_6$	$C_2$	$2$	2.b1	$360$	1.a1	$720$	$1$	$1$
720.651.1d	$1$	R	$1$	$\Q$	720.651.1d	$C_{60}:D_6$	$C_2$	$2$	2.a1	$360$	1.a1	$720$	$1$	$1$
720.651.1e	$1$	R	$1$	$\Q$	720.651.1e	$C_{60}:D_6$	$C_2$	$2$	2.c1	$360$	1.a1	$720$	$1$	$1$
720.651.1f	$1$	R	$1$	$\Q$	720.651.1f	$C_{60}:D_6$	$C_2$	$2$	2.c1	$360$	1.a1	$720$	$1$	$1$
720.651.1g	$1$	R	$1$	$\Q$	720.651.1g	$C_{60}:D_6$	$C_2$	$2$	2.a1	$360$	1.a1	$720$	$1$	$1$
720.651.1h	$1$	R	$1$	$\Q$	720.651.1h	$C_{60}:D_6$	$C_2$	$2$	2.b1	$360$	1.a1	$720$	$1$	$1$
720.651.1i1	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1i	$C_{60}:D_6$	$C_5$	$5$	5.a1	$144$	1.a1	$720$	$1$	$1$
720.651.1i2	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1i	$C_{60}:D_6$	$C_5$	$5$	5.a1	$144$	1.a1	$720$	$1$	$1$
720.651.1i3	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1i	$C_{60}:D_6$	$C_5$	$5$	5.a1	$144$	1.a1	$720$	$1$	$1$
720.651.1i4	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1i	$C_{60}:D_6$	$C_5$	$5$	5.a1	$144$	1.a1	$720$	$1$	$1$
720.651.1j1	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1j	$C_{60}:D_6$	$C_{10}$	$10$	10.d1	$72$	1.a1	$720$	$1$	$1$
720.651.1j2	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1j	$C_{60}:D_6$	$C_{10}$	$10$	10.d1	$72$	1.a1	$720$	$1$	$1$
720.651.1j3	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1j	$C_{60}:D_6$	$C_{10}$	$10$	10.d1	$72$	1.a1	$720$	$1$	$1$
720.651.1j4	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1j	$C_{60}:D_6$	$C_{10}$	$10$	10.d1	$72$	1.a1	$720$	$1$	$1$
720.651.1k1	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1k	$C_{60}:D_6$	$C_{10}$	$10$	10.b1	$72$	1.a1	$720$	$1$	$1$
720.651.1k2	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1k	$C_{60}:D_6$	$C_{10}$	$10$	10.b1	$72$	1.a1	$720$	$1$	$1$
720.651.1k3	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1k	$C_{60}:D_6$	$C_{10}$	$10$	10.b1	$72$	1.a1	$720$	$1$	$1$
720.651.1k4	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1k	$C_{60}:D_6$	$C_{10}$	$10$	10.b1	$72$	1.a1	$720$	$1$	$1$
720.651.1l1	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1l	$C_{60}:D_6$	$C_{10}$	$10$	10.a1	$72$	1.a1	$720$	$1$	$1$
720.651.1l2	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1l	$C_{60}:D_6$	$C_{10}$	$10$	10.a1	$72$	1.a1	$720$	$1$	$1$
720.651.1l3	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1l	$C_{60}:D_6$	$C_{10}$	$10$	10.a1	$72$	1.a1	$720$	$1$	$1$
720.651.1l4	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1l	$C_{60}:D_6$	$C_{10}$	$10$	10.a1	$72$	1.a1	$720$	$1$	$1$
720.651.1m1	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1m	$C_{60}:D_6$	$C_{10}$	$10$	10.c1	$72$	1.a1	$720$	$1$	$1$
720.651.1m2	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1m	$C_{60}:D_6$	$C_{10}$	$10$	10.c1	$72$	1.a1	$720$	$1$	$1$
720.651.1m3	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1m	$C_{60}:D_6$	$C_{10}$	$10$	10.c1	$72$	1.a1	$720$	$1$	$1$
720.651.1m4	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1m	$C_{60}:D_6$	$C_{10}$	$10$	10.c1	$72$	1.a1	$720$	$1$	$1$
720.651.1n1	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1n	$C_{60}:D_6$	$C_{10}$	$10$	10.c1	$72$	1.a1	$720$	$1$	$1$
720.651.1n2	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1n	$C_{60}:D_6$	$C_{10}$	$10$	10.c1	$72$	1.a1	$720$	$1$	$1$
720.651.1n3	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1n	$C_{60}:D_6$	$C_{10}$	$10$	10.c1	$72$	1.a1	$720$	$1$	$1$
720.651.1n4	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1n	$C_{60}:D_6$	$C_{10}$	$10$	10.c1	$72$	1.a1	$720$	$1$	$1$
720.651.1o1	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1o	$C_{60}:D_6$	$C_{10}$	$10$	10.a1	$72$	1.a1	$720$	$1$	$1$
720.651.1o2	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1o	$C_{60}:D_6$	$C_{10}$	$10$	10.a1	$72$	1.a1	$720$	$1$	$1$
720.651.1o3	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1o	$C_{60}:D_6$	$C_{10}$	$10$	10.a1	$72$	1.a1	$720$	$1$	$1$
720.651.1o4	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1o	$C_{60}:D_6$	$C_{10}$	$10$	10.a1	$72$	1.a1	$720$	$1$	$1$
720.651.1p1	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1p	$C_{60}:D_6$	$C_{10}$	$10$	10.b1	$72$	1.a1	$720$	$1$	$1$
720.651.1p2	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1p	$C_{60}:D_6$	$C_{10}$	$10$	10.b1	$72$	1.a1	$720$	$1$	$1$
720.651.1p3	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1p	$C_{60}:D_6$	$C_{10}$	$10$	10.b1	$72$	1.a1	$720$	$1$	$1$
720.651.1p4	$1$	C	$5$	$\Q(\zeta_{5})$	720.651.1p	$C_{60}:D_6$	$C_{10}$	$10$	10.b1	$72$	1.a1	$720$	$1$	$1$
720.651.2a	$2$	R	$1$	$\Q$	720.651.2a	$C_{60}:D_6$	$S_3$	$6$	6.a1	$120$	6.a1	$120$	$6$	$1$
720.651.2b	$2$	R	$1$	$\Q$	720.651.2b	$C_{60}:D_6$	$S_3$	$6$	6.a1	$120$	6.a1	$120$	$6$	$1$
720.651.2c	$2$	R	$1$	$\Q$	720.651.2c	$C_{60}:D_6$	$D_4$	$8$	8.b1	$90$	4.b1	$180$	$4$	$1$
720.651.2d	$2$	R	$1$	$\Q$	720.651.2d	$C_{60}:D_6$	$D_4$	$8$	8.b1	$90$	4.b1	$180$	$4$	$1$
720.651.2e	$2$	R	$1$	$\Q$	720.651.2e	$C_{60}:D_6$	$D_6$	$12$	12.b1	$60$	6.a1	$120$	$6$	$1$
720.651.2f	$2$	R	$1$	$\Q$	720.651.2f	$C_{60}:D_6$	$D_6$	$12$	12.a1	$60$	6.a1	$120$	$6$	$1$
720.651.2g	$2$	R	$1$	$\Q$	720.651.2g	$C_{60}:D_6$	$D_6$	$12$	12.b1	$60$	6.a1	$120$	$6$	$1$
720.651.2h	$2$	R	$1$	$\Q$	720.651.2h	$C_{60}:D_6$	$D_6$	$12$	12.a1	$60$	6.a1	$120$	$6$	$1$
720.651.2i	$2$	R	$1$	$\Q$	720.651.2i	$C_{60}:D_6$	$D_6$	$12$	12.a1	$60$	6.a1	$120$	$6$	$1$
720.651.2j	$2$	R	$1$	$\Q$	720.651.2j	$C_{60}:D_6$	$D_6$	$12$	12.a1	$60$	6.a1	$120$	$6$	$1$

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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
720.651.1a	$1$	R	$1$	\(\Q\)	720.651.1a	$C_{60}:D_6$	$C_1$	$1$	1.a1	$720$	1.a1	$720$	$1$	$1$
720.651.1b	$1$	R	$1$	\(\Q\)	720.651.1b	$C_{60}:D_6$	$C_2$	$2$	2.d1	$360$	1.a1	$720$	$1$	$1$
720.651.1c	$1$	R	$1$	\(\Q\)	720.651.1c	$C_{60}:D_6$	$C_2$	$2$	2.b1	$360$	1.a1	$720$	$1$	$1$
720.651.1d	$1$	R	$1$	\(\Q\)	720.651.1d	$C_{60}:D_6$	$C_2$	$2$	2.a1	$360$	1.a1	$720$	$1$	$1$
720.651.1e	$1$	R	$1$	\(\Q\)	720.651.1e	$C_{60}:D_6$	$C_2$	$2$	2.c1	$360$	1.a1	$720$	$1$	$1$
720.651.1f	$1$	R	$1$	\(\Q\)	720.651.1f	$C_{60}:D_6$	$C_2$	$2$	2.c1	$360$	1.a1	$720$	$1$	$1$
720.651.1g	$1$	R	$1$	\(\Q\)	720.651.1g	$C_{60}:D_6$	$C_2$	$2$	2.a1	$360$	1.a1	$720$	$1$	$1$
720.651.1h	$1$	R	$1$	\(\Q\)	720.651.1h	$C_{60}:D_6$	$C_2$	$2$	2.b1	$360$	1.a1	$720$	$1$	$1$
720.651.1i1	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1i	$C_{60}:D_6$	$C_5$	$5$	5.a1	$144$	1.a1	$720$	$1$	$1$
720.651.1i2	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1i	$C_{60}:D_6$	$C_5$	$5$	5.a1	$144$	1.a1	$720$	$1$	$1$
720.651.1i3	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1i	$C_{60}:D_6$	$C_5$	$5$	5.a1	$144$	1.a1	$720$	$1$	$1$
720.651.1i4	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1i	$C_{60}:D_6$	$C_5$	$5$	5.a1	$144$	1.a1	$720$	$1$	$1$
720.651.1j1	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1j	$C_{60}:D_6$	$C_{10}$	$10$	10.d1	$72$	1.a1	$720$	$1$	$1$
720.651.1j2	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1j	$C_{60}:D_6$	$C_{10}$	$10$	10.d1	$72$	1.a1	$720$	$1$	$1$
720.651.1j3	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1j	$C_{60}:D_6$	$C_{10}$	$10$	10.d1	$72$	1.a1	$720$	$1$	$1$
720.651.1j4	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1j	$C_{60}:D_6$	$C_{10}$	$10$	10.d1	$72$	1.a1	$720$	$1$	$1$
720.651.1k1	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1k	$C_{60}:D_6$	$C_{10}$	$10$	10.b1	$72$	1.a1	$720$	$1$	$1$
720.651.1k2	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1k	$C_{60}:D_6$	$C_{10}$	$10$	10.b1	$72$	1.a1	$720$	$1$	$1$
720.651.1k3	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1k	$C_{60}:D_6$	$C_{10}$	$10$	10.b1	$72$	1.a1	$720$	$1$	$1$
720.651.1k4	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1k	$C_{60}:D_6$	$C_{10}$	$10$	10.b1	$72$	1.a1	$720$	$1$	$1$
720.651.1l1	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1l	$C_{60}:D_6$	$C_{10}$	$10$	10.a1	$72$	1.a1	$720$	$1$	$1$
720.651.1l2	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1l	$C_{60}:D_6$	$C_{10}$	$10$	10.a1	$72$	1.a1	$720$	$1$	$1$
720.651.1l3	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1l	$C_{60}:D_6$	$C_{10}$	$10$	10.a1	$72$	1.a1	$720$	$1$	$1$
720.651.1l4	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1l	$C_{60}:D_6$	$C_{10}$	$10$	10.a1	$72$	1.a1	$720$	$1$	$1$
720.651.1m1	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1m	$C_{60}:D_6$	$C_{10}$	$10$	10.c1	$72$	1.a1	$720$	$1$	$1$
720.651.1m2	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1m	$C_{60}:D_6$	$C_{10}$	$10$	10.c1	$72$	1.a1	$720$	$1$	$1$
720.651.1m3	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1m	$C_{60}:D_6$	$C_{10}$	$10$	10.c1	$72$	1.a1	$720$	$1$	$1$
720.651.1m4	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1m	$C_{60}:D_6$	$C_{10}$	$10$	10.c1	$72$	1.a1	$720$	$1$	$1$
720.651.1n1	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1n	$C_{60}:D_6$	$C_{10}$	$10$	10.c1	$72$	1.a1	$720$	$1$	$1$
720.651.1n2	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1n	$C_{60}:D_6$	$C_{10}$	$10$	10.c1	$72$	1.a1	$720$	$1$	$1$
720.651.1n3	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1n	$C_{60}:D_6$	$C_{10}$	$10$	10.c1	$72$	1.a1	$720$	$1$	$1$
720.651.1n4	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1n	$C_{60}:D_6$	$C_{10}$	$10$	10.c1	$72$	1.a1	$720$	$1$	$1$
720.651.1o1	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1o	$C_{60}:D_6$	$C_{10}$	$10$	10.a1	$72$	1.a1	$720$	$1$	$1$
720.651.1o2	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1o	$C_{60}:D_6$	$C_{10}$	$10$	10.a1	$72$	1.a1	$720$	$1$	$1$
720.651.1o3	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1o	$C_{60}:D_6$	$C_{10}$	$10$	10.a1	$72$	1.a1	$720$	$1$	$1$
720.651.1o4	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1o	$C_{60}:D_6$	$C_{10}$	$10$	10.a1	$72$	1.a1	$720$	$1$	$1$
720.651.1p1	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1p	$C_{60}:D_6$	$C_{10}$	$10$	10.b1	$72$	1.a1	$720$	$1$	$1$
720.651.1p2	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1p	$C_{60}:D_6$	$C_{10}$	$10$	10.b1	$72$	1.a1	$720$	$1$	$1$
720.651.1p3	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1p	$C_{60}:D_6$	$C_{10}$	$10$	10.b1	$72$	1.a1	$720$	$1$	$1$
720.651.1p4	$1$	C	$5$	\(\Q(\zeta_{5})\)	720.651.1p	$C_{60}:D_6$	$C_{10}$	$10$	10.b1	$72$	1.a1	$720$	$1$	$1$
720.651.2a	$2$	R	$1$	\(\Q\)	720.651.2a	$C_{60}:D_6$	$S_3$	$6$	6.a1	$120$	6.a1	$120$	$6$	$1$
720.651.2b	$2$	R	$1$	\(\Q\)	720.651.2b	$C_{60}:D_6$	$S_3$	$6$	6.a1	$120$	6.a1	$120$	$6$	$1$
720.651.2c	$2$	R	$1$	\(\Q\)	720.651.2c	$C_{60}:D_6$	$D_4$	$8$	8.b1	$90$	4.b1	$180$	$4$	$1$
720.651.2d	$2$	R	$1$	\(\Q\)	720.651.2d	$C_{60}:D_6$	$D_4$	$8$	8.b1	$90$	4.b1	$180$	$4$	$1$
720.651.2e	$2$	R	$1$	\(\Q\)	720.651.2e	$C_{60}:D_6$	$D_6$	$12$	12.b1	$60$	6.a1	$120$	$6$	$1$
720.651.2f	$2$	R	$1$	\(\Q\)	720.651.2f	$C_{60}:D_6$	$D_6$	$12$	12.a1	$60$	6.a1	$120$	$6$	$1$
720.651.2g	$2$	R	$1$	\(\Q\)	720.651.2g	$C_{60}:D_6$	$D_6$	$12$	12.b1	$60$	6.a1	$120$	$6$	$1$
720.651.2h	$2$	R	$1$	\(\Q\)	720.651.2h	$C_{60}:D_6$	$D_6$	$12$	12.a1	$60$	6.a1	$120$	$6$	$1$
720.651.2i	$2$	R	$1$	\(\Q\)	720.651.2i	$C_{60}:D_6$	$D_6$	$12$	12.a1	$60$	6.a1	$120$	$6$	$1$
720.651.2j	$2$	R	$1$	\(\Q\)	720.651.2j	$C_{60}:D_6$	$D_6$	$12$	12.a1	$60$	6.a1	$120$	$6$	$1$