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Results (1-50 of 75 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
672.459.1a	$1$	R	$1$	$\Q$	672.459.1a	$C_{12}.D_{28}$	$C_1$	$1$	1.a1.a1	$672$	1.a1.a1	$672$	$1$	$1$
672.459.1b	$1$	R	$1$	$\Q$	672.459.1b	$C_{12}.D_{28}$	$C_2$	$2$	2.e1.b1	$336$	1.a1.a1	$672$	$1$	$1$
672.459.1c	$1$	R	$1$	$\Q$	672.459.1c	$C_{12}.D_{28}$	$C_2$	$2$	2.e1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.459.1d	$1$	R	$1$	$\Q$	672.459.1d	$C_{12}.D_{28}$	$C_2$	$2$	2.d1.b1	$336$	1.a1.a1	$672$	$1$	$1$
672.459.1e	$1$	R	$1$	$\Q$	672.459.1e	$C_{12}.D_{28}$	$C_2$	$2$	2.d1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.459.1f	$1$	R	$1$	$\Q$	672.459.1f	$C_{12}.D_{28}$	$C_2$	$2$	2.c1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.459.1g	$1$	R	$1$	$\Q$	672.459.1g	$C_{12}.D_{28}$	$C_2$	$2$	2.b1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.459.1h	$1$	R	$1$	$\Q$	672.459.1h	$C_{12}.D_{28}$	$C_2$	$2$	2.a1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.459.2a	$2$	R	$1$	$\Q$	672.459.2a	$C_{12}.D_{28}$	$S_3$	$6$	6.a1.a1	$112$	6.a1.a1	$112$	$6$	$1$
672.459.2b	$2$	R	$1$	$\Q$	672.459.2b	$C_{12}.D_{28}$	$D_4$	$8$	8.c1.a1	$84$	4.a1.a1	$168$	$4$	$1$
672.459.2c	$2$	R	$1$	$\Q$	672.459.2c	$C_{12}.D_{28}$	$D_4$	$8$	8.a1.a1	$84$	4.a1.a1	$168$	$4$	$1$
672.459.2d	$2$	R	$1$	$\Q$	672.459.2d	$C_{12}.D_{28}$	$D_6$	$12$	12.b1.b1	$56$	6.a1.a1	$112$	$6$	$1$
672.459.2e	$2$	R	$1$	$\Q$	672.459.2e	$C_{12}.D_{28}$	$D_6$	$12$	12.b1.a1	$56$	6.a1.a1	$112$	$6$	$1$
672.459.2f	$2$	R	$1$	$\Q$	672.459.2f	$C_{12}.D_{28}$	$D_6$	$12$	12.a1.a1	$56$	6.a1.a1	$112$	$6$	$1$
672.459.2g1	$2$	C	$3$	$\Q(\sqrt{-3}) $	672.459.2g	$C_{12}.D_{28}$	$C_3:D_4$	$24$	24.c1.a1	$28$	12.a1.a1	$56$	$12$	$1$
672.459.2g2	$2$	C	$3$	$\Q(\sqrt{-3}) $	672.459.2g	$C_{12}.D_{28}$	$C_3:D_4$	$24$	24.c1.a1	$28$	12.a1.a1	$56$	$12$	$1$
672.459.2h1	$2$	C	$3$	$\Q(\sqrt{-3}) $	672.459.2h	$C_{12}.D_{28}$	$C_3:D_4$	$24$	24.a1.a1	$28$	12.a1.a1	$56$	$12$	$1$
672.459.2h2	$2$	C	$3$	$\Q(\sqrt{-3}) $	672.459.2h	$C_{12}.D_{28}$	$C_3:D_4$	$24$	24.a1.a1	$28$	12.a1.a1	$56$	$12$	$1$
672.459.2i1	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.459.2i	$C_{12}.D_{28}$	$D_7$	$14$	14.a1.a1	$48$	14.a1.a1	$48$	$14$	$1$
672.459.2i2	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.459.2i	$C_{12}.D_{28}$	$D_7$	$14$	14.a1.a1	$48$	14.a1.a1	$48$	$14$	$1$
672.459.2i3	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.459.2i	$C_{12}.D_{28}$	$D_7$	$14$	14.a1.a1	$48$	14.a1.a1	$48$	$14$	$1$
672.459.2j1	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.459.2j	$C_{12}.D_{28}$	$D_{14}$	$28$	28.b1.b1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2j2	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.459.2j	$C_{12}.D_{28}$	$D_{14}$	$28$	28.b1.b1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2j3	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.459.2j	$C_{12}.D_{28}$	$D_{14}$	$28$	28.b1.b1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2k1	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.459.2k	$C_{12}.D_{28}$	$D_{14}$	$28$	28.b1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2k2	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.459.2k	$C_{12}.D_{28}$	$D_{14}$	$28$	28.b1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2k3	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.459.2k	$C_{12}.D_{28}$	$D_{14}$	$28$	28.b1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2l1	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.459.2l	$C_{12}.D_{28}$	$D_{14}$	$28$	28.a1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2l2	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.459.2l	$C_{12}.D_{28}$	$D_{14}$	$28$	28.a1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2l3	$2$	R	$7$	$\Q(\zeta_{7})^+$	672.459.2l	$C_{12}.D_{28}$	$D_{14}$	$28$	28.a1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2m1	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.459.2m	$C_{12}.D_{28}$	$D_{28}$	$56$	56.c1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2m2	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.459.2m	$C_{12}.D_{28}$	$D_{28}$	$56$	56.c1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2m3	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.459.2m	$C_{12}.D_{28}$	$D_{28}$	$56$	56.c1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2m4	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.459.2m	$C_{12}.D_{28}$	$D_{28}$	$56$	56.c1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2m5	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.459.2m	$C_{12}.D_{28}$	$D_{28}$	$56$	56.c1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2m6	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.459.2m	$C_{12}.D_{28}$	$D_{28}$	$56$	56.c1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2n1	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.459.2n	$C_{12}.D_{28}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2n2	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.459.2n	$C_{12}.D_{28}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2n3	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.459.2n	$C_{12}.D_{28}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2n4	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.459.2n	$C_{12}.D_{28}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2n5	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.459.2n	$C_{12}.D_{28}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2n6	$2$	R	$28$	$\Q(\zeta_{28})^+$	672.459.2n	$C_{12}.D_{28}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.4a	$4$	S	$1$	$\Q$	672.459.4a	$C_{12}.D_{28}$	$Q_{16}:C_2$	$32$	32.a1.a1	$21$	16.a1.a1	$42$	$16$	$2$
672.459.4b1	$4$	C	$3$	$\Q(\sqrt{-3}) $	672.459.4b	$C_{12}.D_{28}$	$C_{12}.D_4$	$96$	96.a1.a1	$7$	48.a1.a1	$14$	$48$	$1$
672.459.4b2	$4$	C	$3$	$\Q(\sqrt{-3}) $	672.459.4b	$C_{12}.D_{28}$	$C_{12}.D_4$	$96$	96.a1.a1	$7$	48.a1.a1	$14$	$48$	$1$
672.459.4c1	$4$	R	$7$	$\Q(\zeta_{7})^+$	672.459.4c	$C_{12}.D_{28}$	$S_3\times D_7$	$84$	84.a1.a1	$8$	84.a1.a1	$8$	$84$	$1$
672.459.4c2	$4$	R	$7$	$\Q(\zeta_{7})^+$	672.459.4c	$C_{12}.D_{28}$	$S_3\times D_7$	$84$	84.a1.a1	$8$	84.a1.a1	$8$	$84$	$1$
672.459.4c3	$4$	R	$7$	$\Q(\zeta_{7})^+$	672.459.4c	$C_{12}.D_{28}$	$S_3\times D_7$	$84$	84.a1.a1	$8$	84.a1.a1	$8$	$84$	$1$
672.459.4d1	$4$	R	$7$	$\Q(\zeta_{7})^+$	672.459.4d	$C_{12}.D_{28}$	$S_3\times D_{14}$	$168$	168.b1.a1	$4$	84.a1.a1	$8$	$84$	$1$
672.459.4d2	$4$	R	$7$	$\Q(\zeta_{7})^+$	672.459.4d	$C_{12}.D_{28}$	$S_3\times D_{14}$	$168$	168.b1.a1	$4$	84.a1.a1	$8$	$84$	$1$

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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
672.459.1a	$1$	R	$1$	\(\Q\)	672.459.1a	$C_{12}.D_{28}$	$C_1$	$1$	1.a1.a1	$672$	1.a1.a1	$672$	$1$	$1$
672.459.1b	$1$	R	$1$	\(\Q\)	672.459.1b	$C_{12}.D_{28}$	$C_2$	$2$	2.e1.b1	$336$	1.a1.a1	$672$	$1$	$1$
672.459.1c	$1$	R	$1$	\(\Q\)	672.459.1c	$C_{12}.D_{28}$	$C_2$	$2$	2.e1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.459.1d	$1$	R	$1$	\(\Q\)	672.459.1d	$C_{12}.D_{28}$	$C_2$	$2$	2.d1.b1	$336$	1.a1.a1	$672$	$1$	$1$
672.459.1e	$1$	R	$1$	\(\Q\)	672.459.1e	$C_{12}.D_{28}$	$C_2$	$2$	2.d1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.459.1f	$1$	R	$1$	\(\Q\)	672.459.1f	$C_{12}.D_{28}$	$C_2$	$2$	2.c1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.459.1g	$1$	R	$1$	\(\Q\)	672.459.1g	$C_{12}.D_{28}$	$C_2$	$2$	2.b1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.459.1h	$1$	R	$1$	\(\Q\)	672.459.1h	$C_{12}.D_{28}$	$C_2$	$2$	2.a1.a1	$336$	1.a1.a1	$672$	$1$	$1$
672.459.2a	$2$	R	$1$	\(\Q\)	672.459.2a	$C_{12}.D_{28}$	$S_3$	$6$	6.a1.a1	$112$	6.a1.a1	$112$	$6$	$1$
672.459.2b	$2$	R	$1$	\(\Q\)	672.459.2b	$C_{12}.D_{28}$	$D_4$	$8$	8.c1.a1	$84$	4.a1.a1	$168$	$4$	$1$
672.459.2c	$2$	R	$1$	\(\Q\)	672.459.2c	$C_{12}.D_{28}$	$D_4$	$8$	8.a1.a1	$84$	4.a1.a1	$168$	$4$	$1$
672.459.2d	$2$	R	$1$	\(\Q\)	672.459.2d	$C_{12}.D_{28}$	$D_6$	$12$	12.b1.b1	$56$	6.a1.a1	$112$	$6$	$1$
672.459.2e	$2$	R	$1$	\(\Q\)	672.459.2e	$C_{12}.D_{28}$	$D_6$	$12$	12.b1.a1	$56$	6.a1.a1	$112$	$6$	$1$
672.459.2f	$2$	R	$1$	\(\Q\)	672.459.2f	$C_{12}.D_{28}$	$D_6$	$12$	12.a1.a1	$56$	6.a1.a1	$112$	$6$	$1$
672.459.2g1	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	672.459.2g	$C_{12}.D_{28}$	$C_3:D_4$	$24$	24.c1.a1	$28$	12.a1.a1	$56$	$12$	$1$
672.459.2g2	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	672.459.2g	$C_{12}.D_{28}$	$C_3:D_4$	$24$	24.c1.a1	$28$	12.a1.a1	$56$	$12$	$1$
672.459.2h1	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	672.459.2h	$C_{12}.D_{28}$	$C_3:D_4$	$24$	24.a1.a1	$28$	12.a1.a1	$56$	$12$	$1$
672.459.2h2	$2$	C	$3$	\(\Q(\sqrt{-3}) \)	672.459.2h	$C_{12}.D_{28}$	$C_3:D_4$	$24$	24.a1.a1	$28$	12.a1.a1	$56$	$12$	$1$
672.459.2i1	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.2i	$C_{12}.D_{28}$	$D_7$	$14$	14.a1.a1	$48$	14.a1.a1	$48$	$14$	$1$
672.459.2i2	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.2i	$C_{12}.D_{28}$	$D_7$	$14$	14.a1.a1	$48$	14.a1.a1	$48$	$14$	$1$
672.459.2i3	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.2i	$C_{12}.D_{28}$	$D_7$	$14$	14.a1.a1	$48$	14.a1.a1	$48$	$14$	$1$
672.459.2j1	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.2j	$C_{12}.D_{28}$	$D_{14}$	$28$	28.b1.b1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2j2	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.2j	$C_{12}.D_{28}$	$D_{14}$	$28$	28.b1.b1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2j3	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.2j	$C_{12}.D_{28}$	$D_{14}$	$28$	28.b1.b1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2k1	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.2k	$C_{12}.D_{28}$	$D_{14}$	$28$	28.b1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2k2	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.2k	$C_{12}.D_{28}$	$D_{14}$	$28$	28.b1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2k3	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.2k	$C_{12}.D_{28}$	$D_{14}$	$28$	28.b1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2l1	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.2l	$C_{12}.D_{28}$	$D_{14}$	$28$	28.a1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2l2	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.2l	$C_{12}.D_{28}$	$D_{14}$	$28$	28.a1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2l3	$2$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.2l	$C_{12}.D_{28}$	$D_{14}$	$28$	28.a1.a1	$24$	14.a1.a1	$48$	$14$	$1$
672.459.2m1	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.459.2m	$C_{12}.D_{28}$	$D_{28}$	$56$	56.c1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2m2	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.459.2m	$C_{12}.D_{28}$	$D_{28}$	$56$	56.c1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2m3	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.459.2m	$C_{12}.D_{28}$	$D_{28}$	$56$	56.c1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2m4	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.459.2m	$C_{12}.D_{28}$	$D_{28}$	$56$	56.c1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2m5	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.459.2m	$C_{12}.D_{28}$	$D_{28}$	$56$	56.c1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2m6	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.459.2m	$C_{12}.D_{28}$	$D_{28}$	$56$	56.c1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2n1	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.459.2n	$C_{12}.D_{28}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2n2	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.459.2n	$C_{12}.D_{28}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2n3	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.459.2n	$C_{12}.D_{28}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2n4	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.459.2n	$C_{12}.D_{28}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2n5	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.459.2n	$C_{12}.D_{28}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.2n6	$2$	R	$28$	\(\Q(\zeta_{28})^+\)	672.459.2n	$C_{12}.D_{28}$	$D_{28}$	$56$	56.a1.a1	$12$	28.a1.a1	$24$	$28$	$1$
672.459.4a	$4$	S	$1$	\(\Q\)	672.459.4a	$C_{12}.D_{28}$	$Q_{16}:C_2$	$32$	32.a1.a1	$21$	16.a1.a1	$42$	$16$	$2$
672.459.4b1	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	672.459.4b	$C_{12}.D_{28}$	$C_{12}.D_4$	$96$	96.a1.a1	$7$	48.a1.a1	$14$	$48$	$1$
672.459.4b2	$4$	C	$3$	\(\Q(\sqrt{-3}) \)	672.459.4b	$C_{12}.D_{28}$	$C_{12}.D_4$	$96$	96.a1.a1	$7$	48.a1.a1	$14$	$48$	$1$
672.459.4c1	$4$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.4c	$C_{12}.D_{28}$	$S_3\times D_7$	$84$	84.a1.a1	$8$	84.a1.a1	$8$	$84$	$1$
672.459.4c2	$4$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.4c	$C_{12}.D_{28}$	$S_3\times D_7$	$84$	84.a1.a1	$8$	84.a1.a1	$8$	$84$	$1$
672.459.4c3	$4$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.4c	$C_{12}.D_{28}$	$S_3\times D_7$	$84$	84.a1.a1	$8$	84.a1.a1	$8$	$84$	$1$
672.459.4d1	$4$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.4d	$C_{12}.D_{28}$	$S_3\times D_{14}$	$168$	168.b1.a1	$4$	84.a1.a1	$8$	$84$	$1$
672.459.4d2	$4$	R	$7$	\(\Q(\zeta_{7})^+\)	672.459.4d	$C_{12}.D_{28}$	$S_3\times D_{14}$	$168$	168.b1.a1	$4$	84.a1.a1	$8$	$84$	$1$