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Results (1-50 of 120 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
1728.34661.1a	$1$	R	$1$	$\Q$	1728.34661.1a	$(C_2\times C_4).S_3^3$	$C_1$	$1$	1.a1.a1	$1728$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1b	$1$	R	$1$	$\Q$	1728.34661.1b	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.k1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1c	$1$	R	$1$	$\Q$	1728.34661.1c	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.j1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1d	$1$	R	$1$	$\Q$	1728.34661.1d	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.i1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1e	$1$	R	$1$	$\Q$	1728.34661.1e	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.h1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1f	$1$	R	$1$	$\Q$	1728.34661.1f	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.d1.b1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1g	$1$	R	$1$	$\Q$	1728.34661.1g	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.c1.b1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1h	$1$	R	$1$	$\Q$	1728.34661.1h	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.b1.b1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1i	$1$	R	$1$	$\Q$	1728.34661.1i	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.a1.b1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1j	$1$	R	$1$	$\Q$	1728.34661.1j	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.d1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1k	$1$	R	$1$	$\Q$	1728.34661.1k	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.c1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1l	$1$	R	$1$	$\Q$	1728.34661.1l	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.b1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1m	$1$	R	$1$	$\Q$	1728.34661.1m	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.a1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1n	$1$	R	$1$	$\Q$	1728.34661.1n	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.g1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1o	$1$	R	$1$	$\Q$	1728.34661.1o	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.f1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1p	$1$	R	$1$	$\Q$	1728.34661.1p	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.e1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.2a	$2$	R	$1$	$\Q$	1728.34661.2a	$(C_2\times C_4).S_3^3$	$S_3$	$6$	6.a1.b1	$288$	6.a1.b1	$288$	$6$	$1$
1728.34661.2aa1	$2$	C	$4$	$\Q(\sqrt{-1}) $	1728.34661.2aa	$(C_2\times C_4).S_3^3$	$D_4:C_2$	$16$	16.c1.a1	$108$	4.o1.a1	$432$	$4$	$1$
1728.34661.2aa2	$2$	C	$4$	$\Q(\sqrt{-1}) $	1728.34661.2aa	$(C_2\times C_4).S_3^3$	$D_4:C_2$	$16$	16.c1.a1	$108$	4.o1.a1	$432$	$4$	$1$
1728.34661.2ab1	$2$	C	$4$	$\Q(\sqrt{-1}) $	1728.34661.2ab	$(C_2\times C_4).S_3^3$	$D_4:C_2$	$16$	16.c1.b1	$108$	4.o1.a1	$432$	$4$	$1$
1728.34661.2ab2	$2$	C	$4$	$\Q(\sqrt{-1}) $	1728.34661.2ab	$(C_2\times C_4).S_3^3$	$D_4:C_2$	$16$	16.c1.b1	$108$	4.o1.a1	$432$	$4$	$1$
1728.34661.2ac1	$2$	C	$4$	$\Q(\sqrt{-1}) $	1728.34661.2ac	$(C_2\times C_4).S_3^3$	$D_4:C_2$	$16$	16.b1.b1	$108$	4.m1.a1	$432$	$4$	$1$
1728.34661.2ac2	$2$	C	$4$	$\Q(\sqrt{-1}) $	1728.34661.2ac	$(C_2\times C_4).S_3^3$	$D_4:C_2$	$16$	16.b1.b1	$108$	4.m1.a1	$432$	$4$	$1$
1728.34661.2ad1	$2$	C	$4$	$\Q(\sqrt{-1}) $	1728.34661.2ad	$(C_2\times C_4).S_3^3$	$D_4:C_2$	$16$	16.b1.a1	$108$	4.m1.a1	$432$	$4$	$1$
1728.34661.2ad2	$2$	C	$4$	$\Q(\sqrt{-1}) $	1728.34661.2ad	$(C_2\times C_4).S_3^3$	$D_4:C_2$	$16$	16.b1.a1	$108$	4.m1.a1	$432$	$4$	$1$
1728.34661.2ae1	$2$	C	$12$	$\Q(\sqrt{-1}) $	1728.34661.2ae	$(C_2\times C_4).S_3^3$	$D_{12}:C_2$	$48$	48.c1.b1	$36$	12.k1.a1	$144$	$12$	$1$
1728.34661.2ae2	$2$	C	$12$	$\Q(\sqrt{-1}) $	1728.34661.2ae	$(C_2\times C_4).S_3^3$	$D_{12}:C_2$	$48$	48.c1.b1	$36$	12.k1.a1	$144$	$12$	$1$
1728.34661.2ae3	$2$	C	$12$	$\Q(\sqrt{-1}) $	1728.34661.2ae	$(C_2\times C_4).S_3^3$	$D_{12}:C_2$	$48$	48.c1.b1	$36$	12.k1.a1	$144$	$12$	$1$
1728.34661.2ae4	$2$	C	$12$	$\Q(\sqrt{-1}) $	1728.34661.2ae	$(C_2\times C_4).S_3^3$	$D_{12}:C_2$	$48$	48.c1.b1	$36$	12.k1.a1	$144$	$12$	$1$
1728.34661.2af1	$2$	C	$12$	$\Q(\sqrt{-1}) $	1728.34661.2af	$(C_2\times C_4).S_3^3$	$D_{12}:C_2$	$48$	48.c1.a1	$36$	12.k1.a1	$144$	$12$	$1$
1728.34661.2af2	$2$	C	$12$	$\Q(\sqrt{-1}) $	1728.34661.2af	$(C_2\times C_4).S_3^3$	$D_{12}:C_2$	$48$	48.c1.a1	$36$	12.k1.a1	$144$	$12$	$1$
1728.34661.2af3	$2$	C	$12$	$\Q(\sqrt{-1}) $	1728.34661.2af	$(C_2\times C_4).S_3^3$	$D_{12}:C_2$	$48$	48.c1.a1	$36$	12.k1.a1	$144$	$12$	$1$
1728.34661.2af4	$2$	C	$12$	$\Q(\sqrt{-1}) $	1728.34661.2af	$(C_2\times C_4).S_3^3$	$D_{12}:C_2$	$48$	48.c1.a1	$36$	12.k1.a1	$144$	$12$	$1$
1728.34661.2b	$2$	R	$1$	$\Q$	1728.34661.2b	$(C_2\times C_4).S_3^3$	$S_3$	$6$	6.a1.a1	$288$	6.a1.a1	$288$	$6$	$1$
1728.34661.2c	$2$	R	$1$	$\Q$	1728.34661.2c	$(C_2\times C_4).S_3^3$	$S_3$	$6$	6.b1.a1	$288$	6.b1.a1	$288$	$6$	$1$
1728.34661.2d	$2$	R	$1$	$\Q$	1728.34661.2d	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.l1.a1	$144$	6.b1.a1	$288$	$6$	$1$
1728.34661.2e	$2$	R	$1$	$\Q$	1728.34661.2e	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.k1.a1	$144$	6.b1.a1	$288$	$6$	$1$
1728.34661.2f	$2$	R	$1$	$\Q$	1728.34661.2f	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.i1.b1	$144$	6.a1.a1	$288$	$6$	$1$
1728.34661.2g	$2$	R	$1$	$\Q$	1728.34661.2g	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.j1.b1	$144$	6.a1.a1	$288$	$6$	$1$
1728.34661.2h	$2$	R	$1$	$\Q$	1728.34661.2h	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.h1.b1	$144$	6.a1.a1	$288$	$6$	$1$
1728.34661.2i	$2$	R	$1$	$\Q$	1728.34661.2i	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.g1.b1	$144$	6.a1.a1	$288$	$6$	$1$
1728.34661.2j	$2$	R	$1$	$\Q$	1728.34661.2j	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.e1.b1	$144$	6.b1.a1	$288$	$6$	$1$
1728.34661.2k	$2$	R	$1$	$\Q$	1728.34661.2k	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.d1.b1	$144$	6.b1.a1	$288$	$6$	$1$
1728.34661.2l	$2$	R	$1$	$\Q$	1728.34661.2l	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.i1.a1	$144$	6.a1.b1	$288$	$6$	$1$
1728.34661.2m	$2$	R	$1$	$\Q$	1728.34661.2m	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.j1.a1	$144$	6.a1.b1	$288$	$6$	$1$
1728.34661.2n	$2$	R	$1$	$\Q$	1728.34661.2n	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.h1.a1	$144$	6.a1.b1	$288$	$6$	$1$
1728.34661.2o	$2$	R	$1$	$\Q$	1728.34661.2o	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.g1.a1	$144$	6.a1.b1	$288$	$6$	$1$
1728.34661.2p	$2$	R	$1$	$\Q$	1728.34661.2p	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.b1.b1	$144$	6.a1.b1	$288$	$6$	$1$
1728.34661.2q	$2$	R	$1$	$\Q$	1728.34661.2q	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.c1.b1	$144$	6.a1.b1	$288$	$6$	$1$
1728.34661.2r	$2$	R	$1$	$\Q$	1728.34661.2r	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.a1.b1	$144$	6.a1.b1	$288$	$6$	$1$

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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
1728.34661.1a	$1$	R	$1$	\(\Q\)	1728.34661.1a	$(C_2\times C_4).S_3^3$	$C_1$	$1$	1.a1.a1	$1728$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1b	$1$	R	$1$	\(\Q\)	1728.34661.1b	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.k1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1c	$1$	R	$1$	\(\Q\)	1728.34661.1c	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.j1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1d	$1$	R	$1$	\(\Q\)	1728.34661.1d	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.i1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1e	$1$	R	$1$	\(\Q\)	1728.34661.1e	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.h1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1f	$1$	R	$1$	\(\Q\)	1728.34661.1f	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.d1.b1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1g	$1$	R	$1$	\(\Q\)	1728.34661.1g	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.c1.b1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1h	$1$	R	$1$	\(\Q\)	1728.34661.1h	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.b1.b1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1i	$1$	R	$1$	\(\Q\)	1728.34661.1i	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.a1.b1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1j	$1$	R	$1$	\(\Q\)	1728.34661.1j	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.d1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1k	$1$	R	$1$	\(\Q\)	1728.34661.1k	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.c1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1l	$1$	R	$1$	\(\Q\)	1728.34661.1l	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.b1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1m	$1$	R	$1$	\(\Q\)	1728.34661.1m	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.a1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1n	$1$	R	$1$	\(\Q\)	1728.34661.1n	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.g1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1o	$1$	R	$1$	\(\Q\)	1728.34661.1o	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.f1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.1p	$1$	R	$1$	\(\Q\)	1728.34661.1p	$(C_2\times C_4).S_3^3$	$C_2$	$2$	2.e1.a1	$864$	1.a1.a1	$1728$	$1$	$1$
1728.34661.2a	$2$	R	$1$	\(\Q\)	1728.34661.2a	$(C_2\times C_4).S_3^3$	$S_3$	$6$	6.a1.b1	$288$	6.a1.b1	$288$	$6$	$1$
1728.34661.2aa1	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	1728.34661.2aa	$(C_2\times C_4).S_3^3$	$D_4:C_2$	$16$	16.c1.a1	$108$	4.o1.a1	$432$	$4$	$1$
1728.34661.2aa2	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	1728.34661.2aa	$(C_2\times C_4).S_3^3$	$D_4:C_2$	$16$	16.c1.a1	$108$	4.o1.a1	$432$	$4$	$1$
1728.34661.2ab1	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	1728.34661.2ab	$(C_2\times C_4).S_3^3$	$D_4:C_2$	$16$	16.c1.b1	$108$	4.o1.a1	$432$	$4$	$1$
1728.34661.2ab2	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	1728.34661.2ab	$(C_2\times C_4).S_3^3$	$D_4:C_2$	$16$	16.c1.b1	$108$	4.o1.a1	$432$	$4$	$1$
1728.34661.2ac1	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	1728.34661.2ac	$(C_2\times C_4).S_3^3$	$D_4:C_2$	$16$	16.b1.b1	$108$	4.m1.a1	$432$	$4$	$1$
1728.34661.2ac2	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	1728.34661.2ac	$(C_2\times C_4).S_3^3$	$D_4:C_2$	$16$	16.b1.b1	$108$	4.m1.a1	$432$	$4$	$1$
1728.34661.2ad1	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	1728.34661.2ad	$(C_2\times C_4).S_3^3$	$D_4:C_2$	$16$	16.b1.a1	$108$	4.m1.a1	$432$	$4$	$1$
1728.34661.2ad2	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	1728.34661.2ad	$(C_2\times C_4).S_3^3$	$D_4:C_2$	$16$	16.b1.a1	$108$	4.m1.a1	$432$	$4$	$1$
1728.34661.2ae1	$2$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.34661.2ae	$(C_2\times C_4).S_3^3$	$D_{12}:C_2$	$48$	48.c1.b1	$36$	12.k1.a1	$144$	$12$	$1$
1728.34661.2ae2	$2$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.34661.2ae	$(C_2\times C_4).S_3^3$	$D_{12}:C_2$	$48$	48.c1.b1	$36$	12.k1.a1	$144$	$12$	$1$
1728.34661.2ae3	$2$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.34661.2ae	$(C_2\times C_4).S_3^3$	$D_{12}:C_2$	$48$	48.c1.b1	$36$	12.k1.a1	$144$	$12$	$1$
1728.34661.2ae4	$2$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.34661.2ae	$(C_2\times C_4).S_3^3$	$D_{12}:C_2$	$48$	48.c1.b1	$36$	12.k1.a1	$144$	$12$	$1$
1728.34661.2af1	$2$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.34661.2af	$(C_2\times C_4).S_3^3$	$D_{12}:C_2$	$48$	48.c1.a1	$36$	12.k1.a1	$144$	$12$	$1$
1728.34661.2af2	$2$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.34661.2af	$(C_2\times C_4).S_3^3$	$D_{12}:C_2$	$48$	48.c1.a1	$36$	12.k1.a1	$144$	$12$	$1$
1728.34661.2af3	$2$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.34661.2af	$(C_2\times C_4).S_3^3$	$D_{12}:C_2$	$48$	48.c1.a1	$36$	12.k1.a1	$144$	$12$	$1$
1728.34661.2af4	$2$	C	$12$	\(\Q(\sqrt{-1}) \)	1728.34661.2af	$(C_2\times C_4).S_3^3$	$D_{12}:C_2$	$48$	48.c1.a1	$36$	12.k1.a1	$144$	$12$	$1$
1728.34661.2b	$2$	R	$1$	\(\Q\)	1728.34661.2b	$(C_2\times C_4).S_3^3$	$S_3$	$6$	6.a1.a1	$288$	6.a1.a1	$288$	$6$	$1$
1728.34661.2c	$2$	R	$1$	\(\Q\)	1728.34661.2c	$(C_2\times C_4).S_3^3$	$S_3$	$6$	6.b1.a1	$288$	6.b1.a1	$288$	$6$	$1$
1728.34661.2d	$2$	R	$1$	\(\Q\)	1728.34661.2d	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.l1.a1	$144$	6.b1.a1	$288$	$6$	$1$
1728.34661.2e	$2$	R	$1$	\(\Q\)	1728.34661.2e	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.k1.a1	$144$	6.b1.a1	$288$	$6$	$1$
1728.34661.2f	$2$	R	$1$	\(\Q\)	1728.34661.2f	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.i1.b1	$144$	6.a1.a1	$288$	$6$	$1$
1728.34661.2g	$2$	R	$1$	\(\Q\)	1728.34661.2g	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.j1.b1	$144$	6.a1.a1	$288$	$6$	$1$
1728.34661.2h	$2$	R	$1$	\(\Q\)	1728.34661.2h	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.h1.b1	$144$	6.a1.a1	$288$	$6$	$1$
1728.34661.2i	$2$	R	$1$	\(\Q\)	1728.34661.2i	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.g1.b1	$144$	6.a1.a1	$288$	$6$	$1$
1728.34661.2j	$2$	R	$1$	\(\Q\)	1728.34661.2j	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.e1.b1	$144$	6.b1.a1	$288$	$6$	$1$
1728.34661.2k	$2$	R	$1$	\(\Q\)	1728.34661.2k	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.d1.b1	$144$	6.b1.a1	$288$	$6$	$1$
1728.34661.2l	$2$	R	$1$	\(\Q\)	1728.34661.2l	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.i1.a1	$144$	6.a1.b1	$288$	$6$	$1$
1728.34661.2m	$2$	R	$1$	\(\Q\)	1728.34661.2m	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.j1.a1	$144$	6.a1.b1	$288$	$6$	$1$
1728.34661.2n	$2$	R	$1$	\(\Q\)	1728.34661.2n	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.h1.a1	$144$	6.a1.b1	$288$	$6$	$1$
1728.34661.2o	$2$	R	$1$	\(\Q\)	1728.34661.2o	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.g1.a1	$144$	6.a1.b1	$288$	$6$	$1$
1728.34661.2p	$2$	R	$1$	\(\Q\)	1728.34661.2p	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.b1.b1	$144$	6.a1.b1	$288$	$6$	$1$
1728.34661.2q	$2$	R	$1$	\(\Q\)	1728.34661.2q	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.c1.b1	$144$	6.a1.b1	$288$	$6$	$1$
1728.34661.2r	$2$	R	$1$	\(\Q\)	1728.34661.2r	$(C_2\times C_4).S_3^3$	$D_6$	$12$	12.a1.b1	$144$	6.a1.b1	$288$	$6$	$1$