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Results (1-50 of 54 matches)

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Label	Degree	Type	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
192.65.1a	$1$	R		$1$	$\Q$	192.65.1a	$C_{48}.C_4$	$C_1$	$1$	1.a1.a1	$192$	1.a1.a1	$192$	$1$	$1$
192.65.1b	$1$	R		$1$	$\Q$	192.65.1b	$C_{48}.C_4$	$C_2$	$2$	2.b1.a1	$96$	1.a1.a1	$192$	$1$	$1$
192.65.1c	$1$	R		$1$	$\Q$	192.65.1c	$C_{48}.C_4$	$C_2$	$2$	2.a1.b1	$96$	1.a1.a1	$192$	$1$	$1$
192.65.1d	$1$	R		$1$	$\Q$	192.65.1d	$C_{48}.C_4$	$C_2$	$2$	2.a1.a1	$96$	1.a1.a1	$192$	$1$	$1$
192.65.1e1	$1$	C		$4$	$\Q(\sqrt{-1}) $	192.65.1e	$C_{48}.C_4$	$C_4$	$4$	4.c1.a1	$48$	1.a1.a1	$192$	$1$	$1$
192.65.1e2	$1$	C		$4$	$\Q(\sqrt{-1}) $	192.65.1e	$C_{48}.C_4$	$C_4$	$4$	4.c1.a1	$48$	1.a1.a1	$192$	$1$	$1$
192.65.1f1	$1$	C		$4$	$\Q(\sqrt{-1}) $	192.65.1f	$C_{48}.C_4$	$C_4$	$4$	4.b1.a1	$48$	1.a1.a1	$192$	$1$	$1$
192.65.1f2	$1$	C		$4$	$\Q(\sqrt{-1}) $	192.65.1f	$C_{48}.C_4$	$C_4$	$4$	4.b1.a1	$48$	1.a1.a1	$192$	$1$	$1$
192.65.2a	$2$	R		$1$	$\Q$	192.65.2a	$C_{48}.C_4$	$S_3$	$6$	6.a1.a1	$32$	6.a1.a1	$32$	$6$	$1$
192.65.2b	$2$	R		$1$	$\Q$	192.65.2b	$C_{48}.C_4$	$D_4$	$8$	8.a1.a1	$24$	4.a1.a1	$48$	$4$	$1$
192.65.2c	$2$	R		$1$	$\Q$	192.65.2c	$C_{48}.C_4$	$D_6$	$12$	12.a1.a1	$16$	6.a1.a1	$32$	$6$	$1$
192.65.2d	$2$	S		$1$	$\Q$	192.65.2d	$C_{48}.C_4$	$Q_8$	$8$	8.b1.a1	$24$	4.a1.a1	$48$	$4$	$2$
192.65.2e	$2$	S		$1$	$\Q$	192.65.2e	$C_{48}.C_4$	$C_3:C_4$	$12$	12.c1.a1	$16$	6.a1.a1	$32$	$6$	$2$
192.65.2f	$2$	S		$1$	$\Q$	192.65.2f	$C_{48}.C_4$	$C_3:C_4$	$12$	12.b1.a1	$16$	6.a1.a1	$32$	$6$	$2$
192.65.2g1	$2$	R		$8$	$\Q(\sqrt{2}) $	192.65.2g	$C_{48}.C_4$	$D_8$	$16$	16.b1.a1	$12$	8.a1.a1	$24$	$8$	$1$
192.65.2g2	$2$	R		$8$	$\Q(\sqrt{2}) $	192.65.2g	$C_{48}.C_4$	$D_8$	$16$	16.b1.a1	$12$	8.a1.a1	$24$	$8$	$1$
192.65.2h1	$2$	R		$12$	$\Q(\sqrt{3}) $	192.65.2h	$C_{48}.C_4$	$D_{12}$	$24$	24.a1.a1	$8$	12.a1.a1	$16$	$12$	$1$
192.65.2h2	$2$	R		$12$	$\Q(\sqrt{3}) $	192.65.2h	$C_{48}.C_4$	$D_{12}$	$24$	24.a1.a1	$8$	12.a1.a1	$16$	$12$	$1$
192.65.2i1	$2$	S		$8$	$\Q(\sqrt{2}) $	192.65.2i	$C_{48}.C_4$	$Q_{16}$	$16$	16.a1.a1	$12$	8.a1.a1	$24$	$8$	$2$
192.65.2i2	$2$	S		$8$	$\Q(\sqrt{2}) $	192.65.2i	$C_{48}.C_4$	$Q_{16}$	$16$	16.a1.a1	$12$	8.a1.a1	$24$	$8$	$2$
192.65.2j1	$2$	S		$12$	$\Q(\sqrt{3}) $	192.65.2j	$C_{48}.C_4$	$C_3:Q_8$	$24$	24.b1.a1	$8$	12.a1.a1	$16$	$12$	$2$
192.65.2j2	$2$	S		$12$	$\Q(\sqrt{3}) $	192.65.2j	$C_{48}.C_4$	$C_3:Q_8$	$24$	24.b1.a1	$8$	12.a1.a1	$16$	$12$	$2$
192.65.2k1	$2$	R		$24$	$\Q(\sqrt{2}, \sqrt{3})$	192.65.2k	$C_{48}.C_4$	$D_{24}$	$48$	48.b1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.65.2k2	$2$	R		$24$	$\Q(\sqrt{2}, \sqrt{3})$	192.65.2k	$C_{48}.C_4$	$D_{24}$	$48$	48.b1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.65.2k3	$2$	R		$24$	$\Q(\sqrt{2}, \sqrt{3})$	192.65.2k	$C_{48}.C_4$	$D_{24}$	$48$	48.b1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.65.2k4	$2$	R		$24$	$\Q(\sqrt{2}, \sqrt{3})$	192.65.2k	$C_{48}.C_4$	$D_{24}$	$48$	48.b1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.65.2l1	$2$	S		$24$	$\Q(\sqrt{2}, \sqrt{3})$	192.65.2l	$C_{48}.C_4$	$C_3:Q_{16}$	$48$	48.a1.a1	$4$	24.a1.a1	$8$	$24$	$2$
192.65.2l2	$2$	S		$24$	$\Q(\sqrt{2}, \sqrt{3})$	192.65.2l	$C_{48}.C_4$	$C_3:Q_{16}$	$48$	48.a1.a1	$4$	24.a1.a1	$8$	$24$	$2$
192.65.2l3	$2$	S		$24$	$\Q(\sqrt{2}, \sqrt{3})$	192.65.2l	$C_{48}.C_4$	$C_3:Q_{16}$	$48$	48.a1.a1	$4$	24.a1.a1	$8$	$24$	$2$
192.65.2l4	$2$	S		$24$	$\Q(\sqrt{2}, \sqrt{3})$	192.65.2l	$C_{48}.C_4$	$C_3:Q_{16}$	$48$	48.a1.a1	$4$	24.a1.a1	$8$	$24$	$2$
192.65.2m1	$2$	C		$16$	$\Q(\zeta_{16})$	192.65.2m	$C_{48}.C_4$	$C_{16}.C_4$	$64$	64.a1.a1	$3$	16.b1.a1	$12$	$16$	$1$
192.65.2m2	$2$	C		$16$	$\Q(\zeta_{16})$	192.65.2m	$C_{48}.C_4$	$C_{16}.C_4$	$64$	64.a1.a1	$3$	16.b1.a1	$12$	$16$	$1$
192.65.2m3	$2$	C		$16$	$\Q(\zeta_{16})$	192.65.2m	$C_{48}.C_4$	$C_{16}.C_4$	$64$	64.a1.a1	$3$	16.b1.a1	$12$	$16$	$1$
192.65.2m4	$2$	C		$16$	$\Q(\zeta_{16})$	192.65.2m	$C_{48}.C_4$	$C_{16}.C_4$	$64$	64.a1.a1	$3$	16.b1.a1	$12$	$16$	$1$
192.65.2m5	$2$	C		$16$	$\Q(\zeta_{16})$	192.65.2m	$C_{48}.C_4$	$C_{16}.C_4$	$64$	64.a1.a1	$3$	16.b1.a1	$12$	$16$	$1$
192.65.2m6	$2$	C		$16$	$\Q(\zeta_{16})$	192.65.2m	$C_{48}.C_4$	$C_{16}.C_4$	$64$	64.a1.a1	$3$	16.b1.a1	$12$	$16$	$1$
192.65.2m7	$2$	C		$16$	$\Q(\zeta_{16})$	192.65.2m	$C_{48}.C_4$	$C_{16}.C_4$	$64$	64.a1.a1	$3$	16.b1.a1	$12$	$16$	$1$
192.65.2m8	$2$	C		$16$	$\Q(\zeta_{16})$	192.65.2m	$C_{48}.C_4$	$C_{16}.C_4$	$64$	64.a1.a1	$3$	16.b1.a1	$12$	$16$	$1$
192.65.2n1	$2$	C	✓	$48$	$\Q(\zeta_{16})$	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n10	$2$	C	✓	$48$	$\Q(\zeta_{16})$	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n11	$2$	C	✓	$48$	$\Q(\zeta_{16})$	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n12	$2$	C	✓	$48$	$\Q(\zeta_{16})$	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n13	$2$	C	✓	$48$	$\Q(\zeta_{16})$	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n14	$2$	C	✓	$48$	$\Q(\zeta_{16})$	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n15	$2$	C	✓	$48$	$\Q(\zeta_{16})$	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n16	$2$	C	✓	$48$	$\Q(\zeta_{16})$	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n2	$2$	C	✓	$48$	$\Q(\zeta_{16})$	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n3	$2$	C	✓	$48$	$\Q(\zeta_{16})$	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n4	$2$	C	✓	$48$	$\Q(\zeta_{16})$	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n5	$2$	C	✓	$48$	$\Q(\zeta_{16})$	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$

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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	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
192.65.1a	$1$	R		$1$	\(\Q\)	192.65.1a	$C_{48}.C_4$	$C_1$	$1$	1.a1.a1	$192$	1.a1.a1	$192$	$1$	$1$
192.65.1b	$1$	R		$1$	\(\Q\)	192.65.1b	$C_{48}.C_4$	$C_2$	$2$	2.b1.a1	$96$	1.a1.a1	$192$	$1$	$1$
192.65.1c	$1$	R		$1$	\(\Q\)	192.65.1c	$C_{48}.C_4$	$C_2$	$2$	2.a1.b1	$96$	1.a1.a1	$192$	$1$	$1$
192.65.1d	$1$	R		$1$	\(\Q\)	192.65.1d	$C_{48}.C_4$	$C_2$	$2$	2.a1.a1	$96$	1.a1.a1	$192$	$1$	$1$
192.65.1e1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	192.65.1e	$C_{48}.C_4$	$C_4$	$4$	4.c1.a1	$48$	1.a1.a1	$192$	$1$	$1$
192.65.1e2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	192.65.1e	$C_{48}.C_4$	$C_4$	$4$	4.c1.a1	$48$	1.a1.a1	$192$	$1$	$1$
192.65.1f1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	192.65.1f	$C_{48}.C_4$	$C_4$	$4$	4.b1.a1	$48$	1.a1.a1	$192$	$1$	$1$
192.65.1f2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	192.65.1f	$C_{48}.C_4$	$C_4$	$4$	4.b1.a1	$48$	1.a1.a1	$192$	$1$	$1$
192.65.2a	$2$	R		$1$	\(\Q\)	192.65.2a	$C_{48}.C_4$	$S_3$	$6$	6.a1.a1	$32$	6.a1.a1	$32$	$6$	$1$
192.65.2b	$2$	R		$1$	\(\Q\)	192.65.2b	$C_{48}.C_4$	$D_4$	$8$	8.a1.a1	$24$	4.a1.a1	$48$	$4$	$1$
192.65.2c	$2$	R		$1$	\(\Q\)	192.65.2c	$C_{48}.C_4$	$D_6$	$12$	12.a1.a1	$16$	6.a1.a1	$32$	$6$	$1$
192.65.2d	$2$	S		$1$	\(\Q\)	192.65.2d	$C_{48}.C_4$	$Q_8$	$8$	8.b1.a1	$24$	4.a1.a1	$48$	$4$	$2$
192.65.2e	$2$	S		$1$	\(\Q\)	192.65.2e	$C_{48}.C_4$	$C_3:C_4$	$12$	12.c1.a1	$16$	6.a1.a1	$32$	$6$	$2$
192.65.2f	$2$	S		$1$	\(\Q\)	192.65.2f	$C_{48}.C_4$	$C_3:C_4$	$12$	12.b1.a1	$16$	6.a1.a1	$32$	$6$	$2$
192.65.2g1	$2$	R		$8$	\(\Q(\sqrt{2}) \)	192.65.2g	$C_{48}.C_4$	$D_8$	$16$	16.b1.a1	$12$	8.a1.a1	$24$	$8$	$1$
192.65.2g2	$2$	R		$8$	\(\Q(\sqrt{2}) \)	192.65.2g	$C_{48}.C_4$	$D_8$	$16$	16.b1.a1	$12$	8.a1.a1	$24$	$8$	$1$
192.65.2h1	$2$	R		$12$	\(\Q(\sqrt{3}) \)	192.65.2h	$C_{48}.C_4$	$D_{12}$	$24$	24.a1.a1	$8$	12.a1.a1	$16$	$12$	$1$
192.65.2h2	$2$	R		$12$	\(\Q(\sqrt{3}) \)	192.65.2h	$C_{48}.C_4$	$D_{12}$	$24$	24.a1.a1	$8$	12.a1.a1	$16$	$12$	$1$
192.65.2i1	$2$	S		$8$	\(\Q(\sqrt{2}) \)	192.65.2i	$C_{48}.C_4$	$Q_{16}$	$16$	16.a1.a1	$12$	8.a1.a1	$24$	$8$	$2$
192.65.2i2	$2$	S		$8$	\(\Q(\sqrt{2}) \)	192.65.2i	$C_{48}.C_4$	$Q_{16}$	$16$	16.a1.a1	$12$	8.a1.a1	$24$	$8$	$2$
192.65.2j1	$2$	S		$12$	\(\Q(\sqrt{3}) \)	192.65.2j	$C_{48}.C_4$	$C_3:Q_8$	$24$	24.b1.a1	$8$	12.a1.a1	$16$	$12$	$2$
192.65.2j2	$2$	S		$12$	\(\Q(\sqrt{3}) \)	192.65.2j	$C_{48}.C_4$	$C_3:Q_8$	$24$	24.b1.a1	$8$	12.a1.a1	$16$	$12$	$2$
192.65.2k1	$2$	R		$24$	\(\Q(\sqrt{2}, \sqrt{3})\)	192.65.2k	$C_{48}.C_4$	$D_{24}$	$48$	48.b1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.65.2k2	$2$	R		$24$	\(\Q(\sqrt{2}, \sqrt{3})\)	192.65.2k	$C_{48}.C_4$	$D_{24}$	$48$	48.b1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.65.2k3	$2$	R		$24$	\(\Q(\sqrt{2}, \sqrt{3})\)	192.65.2k	$C_{48}.C_4$	$D_{24}$	$48$	48.b1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.65.2k4	$2$	R		$24$	\(\Q(\sqrt{2}, \sqrt{3})\)	192.65.2k	$C_{48}.C_4$	$D_{24}$	$48$	48.b1.a1	$4$	24.a1.a1	$8$	$24$	$1$
192.65.2l1	$2$	S		$24$	\(\Q(\sqrt{2}, \sqrt{3})\)	192.65.2l	$C_{48}.C_4$	$C_3:Q_{16}$	$48$	48.a1.a1	$4$	24.a1.a1	$8$	$24$	$2$
192.65.2l2	$2$	S		$24$	\(\Q(\sqrt{2}, \sqrt{3})\)	192.65.2l	$C_{48}.C_4$	$C_3:Q_{16}$	$48$	48.a1.a1	$4$	24.a1.a1	$8$	$24$	$2$
192.65.2l3	$2$	S		$24$	\(\Q(\sqrt{2}, \sqrt{3})\)	192.65.2l	$C_{48}.C_4$	$C_3:Q_{16}$	$48$	48.a1.a1	$4$	24.a1.a1	$8$	$24$	$2$
192.65.2l4	$2$	S		$24$	\(\Q(\sqrt{2}, \sqrt{3})\)	192.65.2l	$C_{48}.C_4$	$C_3:Q_{16}$	$48$	48.a1.a1	$4$	24.a1.a1	$8$	$24$	$2$
192.65.2m1	$2$	C		$16$	\(\Q(\zeta_{16})\)	192.65.2m	$C_{48}.C_4$	$C_{16}.C_4$	$64$	64.a1.a1	$3$	16.b1.a1	$12$	$16$	$1$
192.65.2m2	$2$	C		$16$	\(\Q(\zeta_{16})\)	192.65.2m	$C_{48}.C_4$	$C_{16}.C_4$	$64$	64.a1.a1	$3$	16.b1.a1	$12$	$16$	$1$
192.65.2m3	$2$	C		$16$	\(\Q(\zeta_{16})\)	192.65.2m	$C_{48}.C_4$	$C_{16}.C_4$	$64$	64.a1.a1	$3$	16.b1.a1	$12$	$16$	$1$
192.65.2m4	$2$	C		$16$	\(\Q(\zeta_{16})\)	192.65.2m	$C_{48}.C_4$	$C_{16}.C_4$	$64$	64.a1.a1	$3$	16.b1.a1	$12$	$16$	$1$
192.65.2m5	$2$	C		$16$	\(\Q(\zeta_{16})\)	192.65.2m	$C_{48}.C_4$	$C_{16}.C_4$	$64$	64.a1.a1	$3$	16.b1.a1	$12$	$16$	$1$
192.65.2m6	$2$	C		$16$	\(\Q(\zeta_{16})\)	192.65.2m	$C_{48}.C_4$	$C_{16}.C_4$	$64$	64.a1.a1	$3$	16.b1.a1	$12$	$16$	$1$
192.65.2m7	$2$	C		$16$	\(\Q(\zeta_{16})\)	192.65.2m	$C_{48}.C_4$	$C_{16}.C_4$	$64$	64.a1.a1	$3$	16.b1.a1	$12$	$16$	$1$
192.65.2m8	$2$	C		$16$	\(\Q(\zeta_{16})\)	192.65.2m	$C_{48}.C_4$	$C_{16}.C_4$	$64$	64.a1.a1	$3$	16.b1.a1	$12$	$16$	$1$
192.65.2n1	$2$	C	✓	$48$	\(\Q(\zeta_{16})\)	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n10	$2$	C	✓	$48$	\(\Q(\zeta_{16})\)	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n11	$2$	C	✓	$48$	\(\Q(\zeta_{16})\)	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n12	$2$	C	✓	$48$	\(\Q(\zeta_{16})\)	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n13	$2$	C	✓	$48$	\(\Q(\zeta_{16})\)	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n14	$2$	C	✓	$48$	\(\Q(\zeta_{16})\)	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n15	$2$	C	✓	$48$	\(\Q(\zeta_{16})\)	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n16	$2$	C	✓	$48$	\(\Q(\zeta_{16})\)	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n2	$2$	C	✓	$48$	\(\Q(\zeta_{16})\)	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n3	$2$	C	✓	$48$	\(\Q(\zeta_{16})\)	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n4	$2$	C	✓	$48$	\(\Q(\zeta_{16})\)	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$
192.65.2n5	$2$	C	✓	$48$	\(\Q(\zeta_{16})\)	192.65.2n	$C_{48}.C_4$	$C_{48}.C_4$	$192$	192.a1.a1	$1$	48.b1.a1	$4$	$48$	$1$