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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
1344.8726.1a	$1$	R	$1$	$\Q$	1344.8726.1a	$C_{84}.C_2^4$	$C_1$	$1$	1.a1	$1344$	1.a1	$1344$	$1$	$1$
1344.8726.1b	$1$	R	$1$	$\Q$	1344.8726.1b	$C_{84}.C_2^4$	$C_2$	$2$	2.f1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1c	$1$	R	$1$	$\Q$	1344.8726.1c	$C_{84}.C_2^4$	$C_2$	$2$	2.f1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1d	$1$	R	$1$	$\Q$	1344.8726.1d	$C_{84}.C_2^4$	$C_2$	$2$	2.f1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1e	$1$	R	$1$	$\Q$	1344.8726.1e	$C_{84}.C_2^4$	$C_2$	$2$	2.f1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1f	$1$	R	$1$	$\Q$	1344.8726.1f	$C_{84}.C_2^4$	$C_2$	$2$	2.f1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1g	$1$	R	$1$	$\Q$	1344.8726.1g	$C_{84}.C_2^4$	$C_2$	$2$	2.f1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1h	$1$	R	$1$	$\Q$	1344.8726.1h	$C_{84}.C_2^4$	$C_2$	$2$	2.f1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1i	$1$	R	$1$	$\Q$	1344.8726.1i	$C_{84}.C_2^4$	$C_2$	$2$	2.f1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1j	$1$	R	$1$	$\Q$	1344.8726.1j	$C_{84}.C_2^4$	$C_2$	$2$	2.e1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1k	$1$	R	$1$	$\Q$	1344.8726.1k	$C_{84}.C_2^4$	$C_2$	$2$	2.e1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1l	$1$	R	$1$	$\Q$	1344.8726.1l	$C_{84}.C_2^4$	$C_2$	$2$	2.d1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1m	$1$	R	$1$	$\Q$	1344.8726.1m	$C_{84}.C_2^4$	$C_2$	$2$	2.d1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1n	$1$	R	$1$	$\Q$	1344.8726.1n	$C_{84}.C_2^4$	$C_2$	$2$	2.c1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1o	$1$	R	$1$	$\Q$	1344.8726.1o	$C_{84}.C_2^4$	$C_2$	$2$	2.b1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1p	$1$	R	$1$	$\Q$	1344.8726.1p	$C_{84}.C_2^4$	$C_2$	$2$	2.a1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.2a	$2$	R	$1$	$\Q$	1344.8726.2a	$C_{84}.C_2^4$	$S_3$	$6$	6.a1	$224$	6.a1	$224$	$6$	$1$
1344.8726.2aa1	$2$	R	$28$	$\Q(\zeta_{28})^+$	1344.8726.2aa	$C_{84}.C_2^4$	$D_{28}$	$56$	56.c1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2aa2	$2$	R	$28$	$\Q(\zeta_{28})^+$	1344.8726.2aa	$C_{84}.C_2^4$	$D_{28}$	$56$	56.c1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2aa3	$2$	R	$28$	$\Q(\zeta_{28})^+$	1344.8726.2aa	$C_{84}.C_2^4$	$D_{28}$	$56$	56.c1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2aa4	$2$	R	$28$	$\Q(\zeta_{28})^+$	1344.8726.2aa	$C_{84}.C_2^4$	$D_{28}$	$56$	56.c1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2aa5	$2$	R	$28$	$\Q(\zeta_{28})^+$	1344.8726.2aa	$C_{84}.C_2^4$	$D_{28}$	$56$	56.c1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2aa6	$2$	R	$28$	$\Q(\zeta_{28})^+$	1344.8726.2aa	$C_{84}.C_2^4$	$D_{28}$	$56$	56.c1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2ab1	$2$	R	$28$	$\Q(\zeta_{28})^+$	1344.8726.2ab	$C_{84}.C_2^4$	$D_{28}$	$56$	56.a1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2ab2	$2$	R	$28$	$\Q(\zeta_{28})^+$	1344.8726.2ab	$C_{84}.C_2^4$	$D_{28}$	$56$	56.a1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2ab3	$2$	R	$28$	$\Q(\zeta_{28})^+$	1344.8726.2ab	$C_{84}.C_2^4$	$D_{28}$	$56$	56.a1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2ab4	$2$	R	$28$	$\Q(\zeta_{28})^+$	1344.8726.2ab	$C_{84}.C_2^4$	$D_{28}$	$56$	56.a1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2ab5	$2$	R	$28$	$\Q(\zeta_{28})^+$	1344.8726.2ab	$C_{84}.C_2^4$	$D_{28}$	$56$	56.a1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2ab6	$2$	R	$28$	$\Q(\zeta_{28})^+$	1344.8726.2ab	$C_{84}.C_2^4$	$D_{28}$	$56$	56.a1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2b	$2$	R	$1$	$\Q$	1344.8726.2b	$C_{84}.C_2^4$	$D_4$	$8$	8.e1	$168$	4.a1	$336$	$4$	$1$
1344.8726.2c	$2$	R	$1$	$\Q$	1344.8726.2c	$C_{84}.C_2^4$	$D_4$	$8$	8.e1	$168$	4.a1	$336$	$4$	$1$
1344.8726.2d	$2$	R	$1$	$\Q$	1344.8726.2d	$C_{84}.C_2^4$	$D_4$	$8$	8.c1	$168$	4.a1	$336$	$4$	$1$
1344.8726.2e	$2$	R	$1$	$\Q$	1344.8726.2e	$C_{84}.C_2^4$	$D_4$	$8$	8.a1	$168$	4.a1	$336$	$4$	$1$
1344.8726.2f	$2$	R	$1$	$\Q$	1344.8726.2f	$C_{84}.C_2^4$	$D_6$	$12$	12.d1	$112$	6.a1	$224$	$6$	$1$
1344.8726.2g	$2$	R	$1$	$\Q$	1344.8726.2g	$C_{84}.C_2^4$	$D_6$	$12$	12.d1	$112$	6.a1	$224$	$6$	$1$
1344.8726.2h	$2$	R	$1$	$\Q$	1344.8726.2h	$C_{84}.C_2^4$	$D_6$	$12$	12.d1	$112$	6.a1	$224$	$6$	$1$
1344.8726.2i	$2$	R	$1$	$\Q$	1344.8726.2i	$C_{84}.C_2^4$	$D_6$	$12$	12.d1	$112$	6.a1	$224$	$6$	$1$
1344.8726.2j	$2$	R	$1$	$\Q$	1344.8726.2j	$C_{84}.C_2^4$	$D_6$	$12$	12.c1	$112$	6.a1	$224$	$6$	$1$
1344.8726.2k	$2$	R	$1$	$\Q$	1344.8726.2k	$C_{84}.C_2^4$	$D_6$	$12$	12.b1	$112$	6.a1	$224$	$6$	$1$
1344.8726.2l	$2$	R	$1$	$\Q$	1344.8726.2l	$C_{84}.C_2^4$	$D_6$	$12$	12.a1	$112$	6.a1	$224$	$6$	$1$
1344.8726.2m1	$2$	C	$3$	$\Q(\sqrt{-3}) $	1344.8726.2m	$C_{84}.C_2^4$	$C_3:D_4$	$24$	24.e1	$56$	12.a1	$112$	$12$	$1$
1344.8726.2m2	$2$	C	$3$	$\Q(\sqrt{-3}) $	1344.8726.2m	$C_{84}.C_2^4$	$C_3:D_4$	$24$	24.e1	$56$	12.a1	$112$	$12$	$1$
1344.8726.2n1	$2$	C	$3$	$\Q(\sqrt{-3}) $	1344.8726.2n	$C_{84}.C_2^4$	$C_3:D_4$	$24$	24.e1	$56$	12.a1	$112$	$12$	$1$
1344.8726.2n2	$2$	C	$3$	$\Q(\sqrt{-3}) $	1344.8726.2n	$C_{84}.C_2^4$	$C_3:D_4$	$24$	24.e1	$56$	12.a1	$112$	$12$	$1$
1344.8726.2o1	$2$	C	$3$	$\Q(\sqrt{-3}) $	1344.8726.2o	$C_{84}.C_2^4$	$C_3:D_4$	$24$	24.c1	$56$	12.a1	$112$	$12$	$1$
1344.8726.2o2	$2$	C	$3$	$\Q(\sqrt{-3}) $	1344.8726.2o	$C_{84}.C_2^4$	$C_3:D_4$	$24$	24.c1	$56$	12.a1	$112$	$12$	$1$
1344.8726.2p1	$2$	C	$3$	$\Q(\sqrt{-3}) $	1344.8726.2p	$C_{84}.C_2^4$	$C_3:D_4$	$24$	24.a1	$56$	12.a1	$112$	$12$	$1$
1344.8726.2p2	$2$	C	$3$	$\Q(\sqrt{-3}) $	1344.8726.2p	$C_{84}.C_2^4$	$C_3:D_4$	$24$	24.a1	$56$	12.a1	$112$	$12$	$1$
1344.8726.2q1	$2$	R	$7$	$\Q(\zeta_{7})^+$	1344.8726.2q	$C_{84}.C_2^4$	$D_7$	$14$	14.a1	$96$	14.a1	$96$	$14$	$1$
1344.8726.2q2	$2$	R	$7$	$\Q(\zeta_{7})^+$	1344.8726.2q	$C_{84}.C_2^4$	$D_7$	$14$	14.a1	$96$	14.a1	$96$	$14$	$1$

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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
1344.8726.1a	$1$	R	$1$	\(\Q\)	1344.8726.1a	$C_{84}.C_2^4$	$C_1$	$1$	1.a1	$1344$	1.a1	$1344$	$1$	$1$
1344.8726.1b	$1$	R	$1$	\(\Q\)	1344.8726.1b	$C_{84}.C_2^4$	$C_2$	$2$	2.f1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1c	$1$	R	$1$	\(\Q\)	1344.8726.1c	$C_{84}.C_2^4$	$C_2$	$2$	2.f1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1d	$1$	R	$1$	\(\Q\)	1344.8726.1d	$C_{84}.C_2^4$	$C_2$	$2$	2.f1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1e	$1$	R	$1$	\(\Q\)	1344.8726.1e	$C_{84}.C_2^4$	$C_2$	$2$	2.f1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1f	$1$	R	$1$	\(\Q\)	1344.8726.1f	$C_{84}.C_2^4$	$C_2$	$2$	2.f1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1g	$1$	R	$1$	\(\Q\)	1344.8726.1g	$C_{84}.C_2^4$	$C_2$	$2$	2.f1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1h	$1$	R	$1$	\(\Q\)	1344.8726.1h	$C_{84}.C_2^4$	$C_2$	$2$	2.f1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1i	$1$	R	$1$	\(\Q\)	1344.8726.1i	$C_{84}.C_2^4$	$C_2$	$2$	2.f1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1j	$1$	R	$1$	\(\Q\)	1344.8726.1j	$C_{84}.C_2^4$	$C_2$	$2$	2.e1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1k	$1$	R	$1$	\(\Q\)	1344.8726.1k	$C_{84}.C_2^4$	$C_2$	$2$	2.e1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1l	$1$	R	$1$	\(\Q\)	1344.8726.1l	$C_{84}.C_2^4$	$C_2$	$2$	2.d1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1m	$1$	R	$1$	\(\Q\)	1344.8726.1m	$C_{84}.C_2^4$	$C_2$	$2$	2.d1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1n	$1$	R	$1$	\(\Q\)	1344.8726.1n	$C_{84}.C_2^4$	$C_2$	$2$	2.c1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1o	$1$	R	$1$	\(\Q\)	1344.8726.1o	$C_{84}.C_2^4$	$C_2$	$2$	2.b1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.1p	$1$	R	$1$	\(\Q\)	1344.8726.1p	$C_{84}.C_2^4$	$C_2$	$2$	2.a1	$672$	1.a1	$1344$	$1$	$1$
1344.8726.2a	$2$	R	$1$	\(\Q\)	1344.8726.2a	$C_{84}.C_2^4$	$S_3$	$6$	6.a1	$224$	6.a1	$224$	$6$	$1$
1344.8726.2aa1	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	1344.8726.2aa	$C_{84}.C_2^4$	$D_{28}$	$56$	56.c1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2aa2	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	1344.8726.2aa	$C_{84}.C_2^4$	$D_{28}$	$56$	56.c1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2aa3	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	1344.8726.2aa	$C_{84}.C_2^4$	$D_{28}$	$56$	56.c1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2aa4	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	1344.8726.2aa	$C_{84}.C_2^4$	$D_{28}$	$56$	56.c1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2aa5	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	1344.8726.2aa	$C_{84}.C_2^4$	$D_{28}$	$56$	56.c1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2aa6	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	1344.8726.2aa	$C_{84}.C_2^4$	$D_{28}$	$56$	56.c1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2ab1	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	1344.8726.2ab	$C_{84}.C_2^4$	$D_{28}$	$56$	56.a1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2ab2	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	1344.8726.2ab	$C_{84}.C_2^4$	$D_{28}$	$56$	56.a1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2ab3	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	1344.8726.2ab	$C_{84}.C_2^4$	$D_{28}$	$56$	56.a1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2ab4	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	1344.8726.2ab	$C_{84}.C_2^4$	$D_{28}$	$56$	56.a1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2ab5	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	1344.8726.2ab	$C_{84}.C_2^4$	$D_{28}$	$56$	56.a1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2ab6	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	1344.8726.2ab	$C_{84}.C_2^4$	$D_{28}$	$56$	56.a1	$24$	28.a1	$48$	$28$	$1$
1344.8726.2b	$2$	R	$1$	\(\Q\)	1344.8726.2b	$C_{84}.C_2^4$	$D_4$	$8$	8.e1	$168$	4.a1	$336$	$4$	$1$
1344.8726.2c	$2$	R	$1$	\(\Q\)	1344.8726.2c	$C_{84}.C_2^4$	$D_4$	$8$	8.e1	$168$	4.a1	$336$	$4$	$1$
1344.8726.2d	$2$	R	$1$	\(\Q\)	1344.8726.2d	$C_{84}.C_2^4$	$D_4$	$8$	8.c1	$168$	4.a1	$336$	$4$	$1$
1344.8726.2e	$2$	R	$1$	\(\Q\)	1344.8726.2e	$C_{84}.C_2^4$	$D_4$	$8$	8.a1	$168$	4.a1	$336$	$4$	$1$
1344.8726.2f	$2$	R	$1$	\(\Q\)	1344.8726.2f	$C_{84}.C_2^4$	$D_6$	$12$	12.d1	$112$	6.a1	$224$	$6$	$1$
1344.8726.2g	$2$	R	$1$	\(\Q\)	1344.8726.2g	$C_{84}.C_2^4$	$D_6$	$12$	12.d1	$112$	6.a1	$224$	$6$	$1$
1344.8726.2h	$2$	R	$1$	\(\Q\)	1344.8726.2h	$C_{84}.C_2^4$	$D_6$	$12$	12.d1	$112$	6.a1	$224$	$6$	$1$
1344.8726.2i	$2$	R	$1$	\(\Q\)	1344.8726.2i	$C_{84}.C_2^4$	$D_6$	$12$	12.d1	$112$	6.a1	$224$	$6$	$1$
1344.8726.2j	$2$	R	$1$	\(\Q\)	1344.8726.2j	$C_{84}.C_2^4$	$D_6$	$12$	12.c1	$112$	6.a1	$224$	$6$	$1$
1344.8726.2k	$2$	R	$1$	\(\Q\)	1344.8726.2k	$C_{84}.C_2^4$	$D_6$	$12$	12.b1	$112$	6.a1	$224$	$6$	$1$
1344.8726.2l	$2$	R	$1$	\(\Q\)	1344.8726.2l	$C_{84}.C_2^4$	$D_6$	$12$	12.a1	$112$	6.a1	$224$	$6$	$1$
1344.8726.2m1	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	1344.8726.2m	$C_{84}.C_2^4$	$C_3:D_4$	$24$	24.e1	$56$	12.a1	$112$	$12$	$1$
1344.8726.2m2	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	1344.8726.2m	$C_{84}.C_2^4$	$C_3:D_4$	$24$	24.e1	$56$	12.a1	$112$	$12$	$1$
1344.8726.2n1	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	1344.8726.2n	$C_{84}.C_2^4$	$C_3:D_4$	$24$	24.e1	$56$	12.a1	$112$	$12$	$1$
1344.8726.2n2	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	1344.8726.2n	$C_{84}.C_2^4$	$C_3:D_4$	$24$	24.e1	$56$	12.a1	$112$	$12$	$1$
1344.8726.2o1	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	1344.8726.2o	$C_{84}.C_2^4$	$C_3:D_4$	$24$	24.c1	$56$	12.a1	$112$	$12$	$1$
1344.8726.2o2	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	1344.8726.2o	$C_{84}.C_2^4$	$C_3:D_4$	$24$	24.c1	$56$	12.a1	$112$	$12$	$1$
1344.8726.2p1	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	1344.8726.2p	$C_{84}.C_2^4$	$C_3:D_4$	$24$	24.a1	$56$	12.a1	$112$	$12$	$1$
1344.8726.2p2	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	1344.8726.2p	$C_{84}.C_2^4$	$C_3:D_4$	$24$	24.a1	$56$	12.a1	$112$	$12$	$1$
1344.8726.2q1	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	1344.8726.2q	$C_{84}.C_2^4$	$D_7$	$14$	14.a1	$96$	14.a1	$96$	$14$	$1$
1344.8726.2q2	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	1344.8726.2q	$C_{84}.C_2^4$	$D_7$	$14$	14.a1	$96$	14.a1	$96$	$14$	$1$