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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
1600.1455.1a	$1$	R	$1$	$\Q$	1600.1455.1a	$C_{100}.C_2^4$	$C_1$	$1$	1.a1	$1600$	1.a1	$1600$	$1$	$1$
1600.1455.1aa1	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1aa	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1aa2	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1aa	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1aa3	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1aa	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1aa4	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1aa	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ab1	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1ab	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ab2	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1ab	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ab3	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1ab	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ab4	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1ab	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ac1	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1ac	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ac2	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1ac	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ac3	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1ac	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ac4	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1ac	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ad1	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1ad	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ad2	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1ad	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ad3	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1ad	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ad4	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1ad	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ae1	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1ae	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ae2	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1ae	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ae3	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1ae	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ae4	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1ae	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1af1	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1af	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1af2	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1af	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1af3	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1af	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1af4	$1$	C	$8$	$\Q(\zeta_{8})$	1600.1455.1af	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1b	$1$	R	$1$	$\Q$	1600.1455.1b	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1c	$1$	R	$1$	$\Q$	1600.1455.1c	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1d	$1$	R	$1$	$\Q$	1600.1455.1d	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1e	$1$	R	$1$	$\Q$	1600.1455.1e	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1f	$1$	R	$1$	$\Q$	1600.1455.1f	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1g	$1$	R	$1$	$\Q$	1600.1455.1g	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1h	$1$	R	$1$	$\Q$	1600.1455.1h	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1i	$1$	R	$1$	$\Q$	1600.1455.1i	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1j	$1$	R	$1$	$\Q$	1600.1455.1j	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1k	$1$	R	$1$	$\Q$	1600.1455.1k	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1l	$1$	R	$1$	$\Q$	1600.1455.1l	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1m	$1$	R	$1$	$\Q$	1600.1455.1m	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1n	$1$	R	$1$	$\Q$	1600.1455.1n	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1o	$1$	R	$1$	$\Q$	1600.1455.1o	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1p	$1$	R	$1$	$\Q$	1600.1455.1p	$C_{100}.C_2^4$	$C_2$	$2$	2.b1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1q1	$1$	C	$4$	$\Q(\sqrt{-1}) $	1600.1455.1q	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1q2	$1$	C	$4$	$\Q(\sqrt{-1}) $	1600.1455.1q	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1r1	$1$	C	$4$	$\Q(\sqrt{-1}) $	1600.1455.1r	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1r2	$1$	C	$4$	$\Q(\sqrt{-1}) $	1600.1455.1r	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1s1	$1$	C	$4$	$\Q(\sqrt{-1}) $	1600.1455.1s	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1s2	$1$	C	$4$	$\Q(\sqrt{-1}) $	1600.1455.1s	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1t1	$1$	C	$4$	$\Q(\sqrt{-1}) $	1600.1455.1t	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1t2	$1$	C	$4$	$\Q(\sqrt{-1}) $	1600.1455.1t	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1u1	$1$	C	$4$	$\Q(\sqrt{-1}) $	1600.1455.1u	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1u2	$1$	C	$4$	$\Q(\sqrt{-1}) $	1600.1455.1u	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$

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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
1600.1455.1a	$1$	R	$1$	\(\Q\)	1600.1455.1a	$C_{100}.C_2^4$	$C_1$	$1$	1.a1	$1600$	1.a1	$1600$	$1$	$1$
1600.1455.1aa1	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1aa	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1aa2	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1aa	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1aa3	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1aa	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1aa4	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1aa	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ab1	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1ab	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ab2	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1ab	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ab3	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1ab	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ab4	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1ab	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ac1	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1ac	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ac2	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1ac	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ac3	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1ac	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ac4	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1ac	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ad1	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1ad	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ad2	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1ad	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ad3	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1ad	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ad4	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1ad	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ae1	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1ae	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ae2	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1ae	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ae3	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1ae	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1ae4	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1ae	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1af1	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1af	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1af2	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1af	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1af3	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1af	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1af4	$1$	C	$8$	\(\Q(\zeta_{8})\)	1600.1455.1af	$C_{100}.C_2^4$	$C_8$	$8$	8.e1	$200$	1.a1	$1600$	$1$	$1$
1600.1455.1b	$1$	R	$1$	\(\Q\)	1600.1455.1b	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1c	$1$	R	$1$	\(\Q\)	1600.1455.1c	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1d	$1$	R	$1$	\(\Q\)	1600.1455.1d	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1e	$1$	R	$1$	\(\Q\)	1600.1455.1e	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1f	$1$	R	$1$	\(\Q\)	1600.1455.1f	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1g	$1$	R	$1$	\(\Q\)	1600.1455.1g	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1h	$1$	R	$1$	\(\Q\)	1600.1455.1h	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1i	$1$	R	$1$	\(\Q\)	1600.1455.1i	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1j	$1$	R	$1$	\(\Q\)	1600.1455.1j	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1k	$1$	R	$1$	\(\Q\)	1600.1455.1k	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1l	$1$	R	$1$	\(\Q\)	1600.1455.1l	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1m	$1$	R	$1$	\(\Q\)	1600.1455.1m	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1n	$1$	R	$1$	\(\Q\)	1600.1455.1n	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1o	$1$	R	$1$	\(\Q\)	1600.1455.1o	$C_{100}.C_2^4$	$C_2$	$2$	2.a1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1p	$1$	R	$1$	\(\Q\)	1600.1455.1p	$C_{100}.C_2^4$	$C_2$	$2$	2.b1	$800$	1.a1	$1600$	$1$	$1$
1600.1455.1q1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1600.1455.1q	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1q2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1600.1455.1q	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1r1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1600.1455.1r	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1r2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1600.1455.1r	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1s1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1600.1455.1s	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1s2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1600.1455.1s	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1t1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1600.1455.1t	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1t2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1600.1455.1t	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1u1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1600.1455.1u	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$
1600.1455.1u2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1600.1455.1u	$C_{100}.C_2^4$	$C_4$	$4$	4.c1	$400$	1.a1	$1600$	$1$	$1$