LMFDB - Complex character search results

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Results (1-50 of 402 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
1584.65.1a	$1$	R	$1$	$\Q$	1584.65.1a	$C_{792}:C_2$	$C_1$	$1$	1.a1.a1	$1584$	1.a1.a1	$1584$	$1$	$1$
1584.65.1b	$1$	R	$1$	$\Q$	1584.65.1b	$C_{792}:C_2$	$C_2$	$2$	2.c1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.65.1c	$1$	R	$1$	$\Q$	1584.65.1c	$C_{792}:C_2$	$C_2$	$2$	2.b1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.65.1d	$1$	R	$1$	$\Q$	1584.65.1d	$C_{792}:C_2$	$C_2$	$2$	2.a1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.65.1e1	$1$	C	$4$	$\Q(\sqrt{-1}) $	1584.65.1e	$C_{792}:C_2$	$C_4$	$4$	4.c1.a1	$396$	1.a1.a1	$1584$	$1$	$1$
1584.65.1e2	$1$	C	$4$	$\Q(\sqrt{-1}) $	1584.65.1e	$C_{792}:C_2$	$C_4$	$4$	4.c1.a1	$396$	1.a1.a1	$1584$	$1$	$1$
1584.65.1f1	$1$	C	$4$	$\Q(\sqrt{-1}) $	1584.65.1f	$C_{792}:C_2$	$C_4$	$4$	4.a1.a1	$396$	1.a1.a1	$1584$	$1$	$1$
1584.65.1f2	$1$	C	$4$	$\Q(\sqrt{-1}) $	1584.65.1f	$C_{792}:C_2$	$C_4$	$4$	4.a1.a1	$396$	1.a1.a1	$1584$	$1$	$1$
1584.65.2a	$2$	R	$1$	$\Q$	1584.65.2a	$C_{792}:C_2$	$S_3$	$6$	6.a1.a1	$264$	6.a1.a1	$264$	$6$	$1$
1584.65.2b	$2$	R	$1$	$\Q$	1584.65.2b	$C_{792}:C_2$	$D_6$	$12$	12.a1.a1	$132$	6.a1.a1	$264$	$6$	$1$
1584.65.2c1	$2$	C	$4$	$\Q(\sqrt{-1}) $	1584.65.2c	$C_{792}:C_2$	$\OD_{16}$	$16$	16.a1.a1	$99$	4.b1.a1	$396$	$4$	$1$
1584.65.2c2	$2$	C	$4$	$\Q(\sqrt{-1}) $	1584.65.2c	$C_{792}:C_2$	$\OD_{16}$	$16$	16.a1.a1	$99$	4.b1.a1	$396$	$4$	$1$
1584.65.2d1	$2$	C	$4$	$\Q(\sqrt{-1}) $	1584.65.2d	$C_{792}:C_2$	$C_4\times S_3$	$24$	24.a1.a1	$66$	6.a1.a1	$264$	$6$	$1$
1584.65.2d2	$2$	C	$4$	$\Q(\sqrt{-1}) $	1584.65.2d	$C_{792}:C_2$	$C_4\times S_3$	$24$	24.a1.a1	$66$	6.a1.a1	$264$	$6$	$1$
1584.65.2e1	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.65.2e	$C_{792}:C_2$	$D_9$	$18$	18.a1.a1	$88$	18.a1.a1	$88$	$18$	$1$
1584.65.2e2	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.65.2e	$C_{792}:C_2$	$D_9$	$18$	18.a1.a1	$88$	18.a1.a1	$88$	$18$	$1$
1584.65.2e3	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.65.2e	$C_{792}:C_2$	$D_9$	$18$	18.a1.a1	$88$	18.a1.a1	$88$	$18$	$1$
1584.65.2f1	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.65.2f	$C_{792}:C_2$	$D_{18}$	$36$	36.a1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.65.2f2	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.65.2f	$C_{792}:C_2$	$D_{18}$	$36$	36.a1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.65.2f3	$2$	R	$9$	$\Q(\zeta_{9})^+$	1584.65.2f	$C_{792}:C_2$	$D_{18}$	$36$	36.a1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.65.2g1	$2$	C	$24$	$\Q(i, \sqrt{6})$	1584.65.2g	$C_{792}:C_2$	$C_{24}:C_2$	$48$	48.a1.a1	$33$	12.a1.a1	$132$	$12$	$1$
1584.65.2g2	$2$	C	$24$	$\Q(i, \sqrt{6})$	1584.65.2g	$C_{792}:C_2$	$C_{24}:C_2$	$48$	48.a1.a1	$33$	12.a1.a1	$132$	$12$	$1$
1584.65.2g3	$2$	C	$24$	$\Q(i, \sqrt{6})$	1584.65.2g	$C_{792}:C_2$	$C_{24}:C_2$	$48$	48.a1.a1	$33$	12.a1.a1	$132$	$12$	$1$
1584.65.2g4	$2$	C	$24$	$\Q(i, \sqrt{6})$	1584.65.2g	$C_{792}:C_2$	$C_{24}:C_2$	$48$	48.a1.a1	$33$	12.a1.a1	$132$	$12$	$1$
1584.65.2h1	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.65.2h	$C_{792}:C_2$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.65.2h2	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.65.2h	$C_{792}:C_2$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.65.2h3	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.65.2h	$C_{792}:C_2$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.65.2h4	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.65.2h	$C_{792}:C_2$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.65.2h5	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.65.2h	$C_{792}:C_2$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.65.2i1	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.65.2i	$C_{792}:C_2$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.65.2i2	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.65.2i	$C_{792}:C_2$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.65.2i3	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.65.2i	$C_{792}:C_2$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.65.2i4	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.65.2i	$C_{792}:C_2$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.65.2i5	$2$	R	$11$	$\Q(\zeta_{11})^+$	1584.65.2i	$C_{792}:C_2$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.65.2j1	$2$	C	$36$	6.0.419904.1	1584.65.2j	$C_{792}:C_2$	$C_4\times D_9$	$72$	72.a1.a1	$22$	18.a1.a1	$88$	$18$	$1$
1584.65.2j2	$2$	C	$36$	6.0.419904.1	1584.65.2j	$C_{792}:C_2$	$C_4\times D_9$	$72$	72.a1.a1	$22$	18.a1.a1	$88$	$18$	$1$
1584.65.2j3	$2$	C	$36$	6.0.419904.1	1584.65.2j	$C_{792}:C_2$	$C_4\times D_9$	$72$	72.a1.a1	$22$	18.a1.a1	$88$	$18$	$1$
1584.65.2j4	$2$	C	$36$	6.0.419904.1	1584.65.2j	$C_{792}:C_2$	$C_4\times D_9$	$72$	72.a1.a1	$22$	18.a1.a1	$88$	$18$	$1$
1584.65.2j5	$2$	C	$36$	6.0.419904.1	1584.65.2j	$C_{792}:C_2$	$C_4\times D_9$	$72$	72.a1.a1	$22$	18.a1.a1	$88$	$18$	$1$
1584.65.2j6	$2$	C	$36$	6.0.419904.1	1584.65.2j	$C_{792}:C_2$	$C_4\times D_9$	$72$	72.a1.a1	$22$	18.a1.a1	$88$	$18$	$1$
1584.65.2k1	$2$	R	$33$	$\Q(\zeta_{33})^+$	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k10	$2$	R	$33$	$\Q(\zeta_{33})^+$	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k2	$2$	R	$33$	$\Q(\zeta_{33})^+$	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k3	$2$	R	$33$	$\Q(\zeta_{33})^+$	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k4	$2$	R	$33$	$\Q(\zeta_{33})^+$	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k5	$2$	R	$33$	$\Q(\zeta_{33})^+$	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k6	$2$	R	$33$	$\Q(\zeta_{33})^+$	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k7	$2$	R	$33$	$\Q(\zeta_{33})^+$	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k8	$2$	R	$33$	$\Q(\zeta_{33})^+$	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k9	$2$	R	$33$	$\Q(\zeta_{33})^+$	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$

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Results (1-50 of 402 matches)

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
1584.65.1a	$1$	R	$1$	\(\Q\)	1584.65.1a	$C_{792}:C_2$	$C_1$	$1$	1.a1.a1	$1584$	1.a1.a1	$1584$	$1$	$1$
1584.65.1b	$1$	R	$1$	\(\Q\)	1584.65.1b	$C_{792}:C_2$	$C_2$	$2$	2.c1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.65.1c	$1$	R	$1$	\(\Q\)	1584.65.1c	$C_{792}:C_2$	$C_2$	$2$	2.b1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.65.1d	$1$	R	$1$	\(\Q\)	1584.65.1d	$C_{792}:C_2$	$C_2$	$2$	2.a1.a1	$792$	1.a1.a1	$1584$	$1$	$1$
1584.65.1e1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1584.65.1e	$C_{792}:C_2$	$C_4$	$4$	4.c1.a1	$396$	1.a1.a1	$1584$	$1$	$1$
1584.65.1e2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1584.65.1e	$C_{792}:C_2$	$C_4$	$4$	4.c1.a1	$396$	1.a1.a1	$1584$	$1$	$1$
1584.65.1f1	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1584.65.1f	$C_{792}:C_2$	$C_4$	$4$	4.a1.a1	$396$	1.a1.a1	$1584$	$1$	$1$
1584.65.1f2	$1$	C	$4$	\(\Q(\sqrt{-1}) \)	1584.65.1f	$C_{792}:C_2$	$C_4$	$4$	4.a1.a1	$396$	1.a1.a1	$1584$	$1$	$1$
1584.65.2a	$2$	R	$1$	\(\Q\)	1584.65.2a	$C_{792}:C_2$	$S_3$	$6$	6.a1.a1	$264$	6.a1.a1	$264$	$6$	$1$
1584.65.2b	$2$	R	$1$	\(\Q\)	1584.65.2b	$C_{792}:C_2$	$D_6$	$12$	12.a1.a1	$132$	6.a1.a1	$264$	$6$	$1$
1584.65.2c1	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	1584.65.2c	$C_{792}:C_2$	$\OD_{16}$	$16$	16.a1.a1	$99$	4.b1.a1	$396$	$4$	$1$
1584.65.2c2	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	1584.65.2c	$C_{792}:C_2$	$\OD_{16}$	$16$	16.a1.a1	$99$	4.b1.a1	$396$	$4$	$1$
1584.65.2d1	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	1584.65.2d	$C_{792}:C_2$	$C_4\times S_3$	$24$	24.a1.a1	$66$	6.a1.a1	$264$	$6$	$1$
1584.65.2d2	$2$	C	$4$	\(\Q(\sqrt{-1}) \)	1584.65.2d	$C_{792}:C_2$	$C_4\times S_3$	$24$	24.a1.a1	$66$	6.a1.a1	$264$	$6$	$1$
1584.65.2e1	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.65.2e	$C_{792}:C_2$	$D_9$	$18$	18.a1.a1	$88$	18.a1.a1	$88$	$18$	$1$
1584.65.2e2	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.65.2e	$C_{792}:C_2$	$D_9$	$18$	18.a1.a1	$88$	18.a1.a1	$88$	$18$	$1$
1584.65.2e3	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.65.2e	$C_{792}:C_2$	$D_9$	$18$	18.a1.a1	$88$	18.a1.a1	$88$	$18$	$1$
1584.65.2f1	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.65.2f	$C_{792}:C_2$	$D_{18}$	$36$	36.a1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.65.2f2	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.65.2f	$C_{792}:C_2$	$D_{18}$	$36$	36.a1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.65.2f3	$2$	R	$9$	\(\Q(\zeta_{9})^+\)	1584.65.2f	$C_{792}:C_2$	$D_{18}$	$36$	36.a1.a1	$44$	18.a1.a1	$88$	$18$	$1$
1584.65.2g1	$2$	C	$24$	\(\Q(i, \sqrt{6})\)	1584.65.2g	$C_{792}:C_2$	$C_{24}:C_2$	$48$	48.a1.a1	$33$	12.a1.a1	$132$	$12$	$1$
1584.65.2g2	$2$	C	$24$	\(\Q(i, \sqrt{6})\)	1584.65.2g	$C_{792}:C_2$	$C_{24}:C_2$	$48$	48.a1.a1	$33$	12.a1.a1	$132$	$12$	$1$
1584.65.2g3	$2$	C	$24$	\(\Q(i, \sqrt{6})\)	1584.65.2g	$C_{792}:C_2$	$C_{24}:C_2$	$48$	48.a1.a1	$33$	12.a1.a1	$132$	$12$	$1$
1584.65.2g4	$2$	C	$24$	\(\Q(i, \sqrt{6})\)	1584.65.2g	$C_{792}:C_2$	$C_{24}:C_2$	$48$	48.a1.a1	$33$	12.a1.a1	$132$	$12$	$1$
1584.65.2h1	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.65.2h	$C_{792}:C_2$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.65.2h2	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.65.2h	$C_{792}:C_2$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.65.2h3	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.65.2h	$C_{792}:C_2$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.65.2h4	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.65.2h	$C_{792}:C_2$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.65.2h5	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.65.2h	$C_{792}:C_2$	$D_{11}$	$22$	22.a1.a1	$72$	22.a1.a1	$72$	$22$	$1$
1584.65.2i1	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.65.2i	$C_{792}:C_2$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.65.2i2	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.65.2i	$C_{792}:C_2$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.65.2i3	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.65.2i	$C_{792}:C_2$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.65.2i4	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.65.2i	$C_{792}:C_2$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.65.2i5	$2$	R	$11$	\(\Q(\zeta_{11})^+\)	1584.65.2i	$C_{792}:C_2$	$D_{22}$	$44$	44.a1.a1	$36$	22.a1.a1	$72$	$22$	$1$
1584.65.2j1	$2$	C	$36$	6.0.419904.1	1584.65.2j	$C_{792}:C_2$	$C_4\times D_9$	$72$	72.a1.a1	$22$	18.a1.a1	$88$	$18$	$1$
1584.65.2j2	$2$	C	$36$	6.0.419904.1	1584.65.2j	$C_{792}:C_2$	$C_4\times D_9$	$72$	72.a1.a1	$22$	18.a1.a1	$88$	$18$	$1$
1584.65.2j3	$2$	C	$36$	6.0.419904.1	1584.65.2j	$C_{792}:C_2$	$C_4\times D_9$	$72$	72.a1.a1	$22$	18.a1.a1	$88$	$18$	$1$
1584.65.2j4	$2$	C	$36$	6.0.419904.1	1584.65.2j	$C_{792}:C_2$	$C_4\times D_9$	$72$	72.a1.a1	$22$	18.a1.a1	$88$	$18$	$1$
1584.65.2j5	$2$	C	$36$	6.0.419904.1	1584.65.2j	$C_{792}:C_2$	$C_4\times D_9$	$72$	72.a1.a1	$22$	18.a1.a1	$88$	$18$	$1$
1584.65.2j6	$2$	C	$36$	6.0.419904.1	1584.65.2j	$C_{792}:C_2$	$C_4\times D_9$	$72$	72.a1.a1	$22$	18.a1.a1	$88$	$18$	$1$
1584.65.2k1	$2$	R	$33$	\(\Q(\zeta_{33})^+\)	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k10	$2$	R	$33$	\(\Q(\zeta_{33})^+\)	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k2	$2$	R	$33$	\(\Q(\zeta_{33})^+\)	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k3	$2$	R	$33$	\(\Q(\zeta_{33})^+\)	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k4	$2$	R	$33$	\(\Q(\zeta_{33})^+\)	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k5	$2$	R	$33$	\(\Q(\zeta_{33})^+\)	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k6	$2$	R	$33$	\(\Q(\zeta_{33})^+\)	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k7	$2$	R	$33$	\(\Q(\zeta_{33})^+\)	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k8	$2$	R	$33$	\(\Q(\zeta_{33})^+\)	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$
1584.65.2k9	$2$	R	$33$	\(\Q(\zeta_{33})^+\)	1584.65.2k	$C_{792}:C_2$	$D_{33}$	$66$	66.a1.a1	$24$	66.a1.a1	$24$	$66$	$1$