LMFDB - Complex character search results

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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
162000.x.1a	$1$	R		$1$	$\Q$	162000.x.1a	$(C_{15}^3.A_4):C_4$	$C_1$	$1$	1.a1.a1	$162000$	1.a1.a1	$162000$	$1$	$1$
162000.x.1b	$1$	R		$1$	$\Q$	162000.x.1b	$(C_{15}^3.A_4):C_4$	$C_2$	$2$	2.a1.a1	$81000$	1.a1.a1	$162000$	$1$	$1$
162000.x.1c1	$1$	C		$4$	$\Q(\sqrt{-1}) $	162000.x.1c	$(C_{15}^3.A_4):C_4$	$C_4$	$4$	4.a1.a1	$40500$	1.a1.a1	$162000$	$1$	$1$
162000.x.1c2	$1$	C		$4$	$\Q(\sqrt{-1}) $	162000.x.1c	$(C_{15}^3.A_4):C_4$	$C_4$	$4$	4.a1.a1	$40500$	1.a1.a1	$162000$	$1$	$1$
162000.x.2a	$2$	R		$1$	$\Q$	162000.x.2a	$(C_{15}^3.A_4):C_4$	$S_3$	$6$	6.a1.a1	$27000$	6.a1.a1	$27000$	$6$	$1$
162000.x.2b	$2$	S		$1$	$\Q$	162000.x.2b	$(C_{15}^3.A_4):C_4$	$C_3:C_4$	$12$	12.a1.a1	$13500$	6.a1.a1	$27000$	$6$	$2$
162000.x.3a	$3$	R		$1$	$\Q$	162000.x.3a	$(C_{15}^3.A_4):C_4$	$S_4$	$24$	24.a1.a1	$6750$	24.a1.a1	$6750$	$24$	$1$
162000.x.3b	$3$	R		$1$	$\Q$	162000.x.3b	$(C_{15}^3.A_4):C_4$	$S_4$	$24$	24.a1.a1	$6750$	24.a1.a1	$6750$	$24$	$1$
162000.x.3c1	$3$	C		$4$	$\Q(\sqrt{-1}) $	162000.x.3c	$(C_{15}^3.A_4):C_4$	$A_4:C_4$	$48$	48.a1.a1	$3375$	24.a1.a1	$6750$	$24$	$1$
162000.x.3c2	$3$	C		$4$	$\Q(\sqrt{-1}) $	162000.x.3c	$(C_{15}^3.A_4):C_4$	$A_4:C_4$	$48$	48.a1.a1	$3375$	24.a1.a1	$6750$	$24$	$1$
162000.x.4a1	$4$	C		$3$	$\Q(\sqrt{-3}) $	162000.x.4a	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.4a2	$4$	C		$3$	$\Q(\sqrt{-3}) $	162000.x.4a	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.4b1	$4$	C		$3$	$\Q(\sqrt{-3}) $	162000.x.4b	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.4b2	$4$	C		$3$	$\Q(\sqrt{-3}) $	162000.x.4b	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.4c1	$4$	C		$12$	$\Q(\sqrt{-1}) $	162000.x.4c	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.4c2	$4$	C		$12$	$\Q(\sqrt{-1}) $	162000.x.4c	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.4c3	$4$	C		$12$	$\Q(\sqrt{-1}) $	162000.x.4c	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.4c4	$4$	C		$12$	$\Q(\sqrt{-1}) $	162000.x.4c	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.6a	$6$	R		$1$	$\Q$	162000.x.6a	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.6b	$6$	R		$1$	$\Q$	162000.x.6b	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.6c1	$6$	C		$3$	$\Q(\sqrt{-3}) $	162000.x.6c	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.6c2	$6$	C		$3$	$\Q(\sqrt{-3}) $	162000.x.6c	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.6d1	$6$	R		$12$	$\Q(\sqrt{3}) $	162000.x.6d	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.6d2	$6$	R		$12$	$\Q(\sqrt{3}) $	162000.x.6d	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.6e1	$6$	C		$4$	$\Q(\sqrt{-1}) $	162000.x.6e	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.6e2	$6$	C		$4$	$\Q(\sqrt{-1}) $	162000.x.6e	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.8a1	$8$	C		$3$	$\Q(\sqrt{-3}) $	162000.x.8a	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.8a2	$8$	C		$3$	$\Q(\sqrt{-3}) $	162000.x.8a	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.8b1	$8$	C		$3$	$\Q(\sqrt{-3}) $	162000.x.8b	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.8b2	$8$	C		$3$	$\Q(\sqrt{-3}) $	162000.x.8b	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.12a	$12$	R		$1$	$\Q$	162000.x.12a	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12b	$12$	R		$1$	$\Q$	162000.x.12b	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.12c	$12$	R		$1$	$\Q$	162000.x.12c	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12d	$12$	R		$1$	$\Q$	162000.x.12d	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.12e1	$12$	R		$5$	$\Q(\sqrt{5}) $	162000.x.12e	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12e2	$12$	R		$5$	$\Q(\sqrt{5}) $	162000.x.12e	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12f1	$12$	R		$5$	$\Q(\sqrt{5}) $	162000.x.12f	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12f2	$12$	R		$5$	$\Q(\sqrt{5}) $	162000.x.12f	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12g1	$12$	R		$5$	$\Q(\sqrt{5}) $	162000.x.12g	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12g2	$12$	R		$5$	$\Q(\sqrt{5}) $	162000.x.12g	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12h1	$12$	C		$4$	$\Q(\sqrt{-1}) $	162000.x.12h	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.12h2	$12$	C		$4$	$\Q(\sqrt{-1}) $	162000.x.12h	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.12i1	$12$	C		$20$	$\Q(i, \sqrt{5})$	162000.x.12i	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12i2	$12$	C		$20$	$\Q(i, \sqrt{5})$	162000.x.12i	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12i3	$12$	C		$20$	$\Q(i, \sqrt{5})$	162000.x.12i	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12i4	$12$	C		$20$	$\Q(i, \sqrt{5})$	162000.x.12i	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.16a	$16$	R		$1$	$\Q$	162000.x.16a	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.16b1	$16$	C	✓	$3$	$\Q(\sqrt{-3}) $	162000.x.16b	$(C_{15}^3.A_4):C_4$	$(C_{15}^3.A_4):C_4$	$162000$	162000.a1.a1	$1$	162000.a1.a1	$1$	$162000$	$1$
162000.x.16b2	$16$	C	✓	$3$	$\Q(\sqrt{-3}) $	162000.x.16b	$(C_{15}^3.A_4):C_4$	$(C_{15}^3.A_4):C_4$	$162000$	162000.a1.a1	$1$	162000.a1.a1	$1$	$162000$	$1$
162000.x.16c1	$16$	C		$15$	$\Q(\sqrt{-15}) $	162000.x.16c	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$

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Elliptic curves over $\Q$
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Results (1-50 of 135 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	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
162000.x.1a	$1$	R		$1$	\(\Q\)	162000.x.1a	$(C_{15}^3.A_4):C_4$	$C_1$	$1$	1.a1.a1	$162000$	1.a1.a1	$162000$	$1$	$1$
162000.x.1b	$1$	R		$1$	\(\Q\)	162000.x.1b	$(C_{15}^3.A_4):C_4$	$C_2$	$2$	2.a1.a1	$81000$	1.a1.a1	$162000$	$1$	$1$
162000.x.1c1	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	162000.x.1c	$(C_{15}^3.A_4):C_4$	$C_4$	$4$	4.a1.a1	$40500$	1.a1.a1	$162000$	$1$	$1$
162000.x.1c2	$1$	C		$4$	\(\Q(\sqrt{-1}) \)	162000.x.1c	$(C_{15}^3.A_4):C_4$	$C_4$	$4$	4.a1.a1	$40500$	1.a1.a1	$162000$	$1$	$1$
162000.x.2a	$2$	R		$1$	\(\Q\)	162000.x.2a	$(C_{15}^3.A_4):C_4$	$S_3$	$6$	6.a1.a1	$27000$	6.a1.a1	$27000$	$6$	$1$
162000.x.2b	$2$	S		$1$	\(\Q\)	162000.x.2b	$(C_{15}^3.A_4):C_4$	$C_3:C_4$	$12$	12.a1.a1	$13500$	6.a1.a1	$27000$	$6$	$2$
162000.x.3a	$3$	R		$1$	\(\Q\)	162000.x.3a	$(C_{15}^3.A_4):C_4$	$S_4$	$24$	24.a1.a1	$6750$	24.a1.a1	$6750$	$24$	$1$
162000.x.3b	$3$	R		$1$	\(\Q\)	162000.x.3b	$(C_{15}^3.A_4):C_4$	$S_4$	$24$	24.a1.a1	$6750$	24.a1.a1	$6750$	$24$	$1$
162000.x.3c1	$3$	C		$4$	\(\Q(\sqrt{-1}) \)	162000.x.3c	$(C_{15}^3.A_4):C_4$	$A_4:C_4$	$48$	48.a1.a1	$3375$	24.a1.a1	$6750$	$24$	$1$
162000.x.3c2	$3$	C		$4$	\(\Q(\sqrt{-1}) \)	162000.x.3c	$(C_{15}^3.A_4):C_4$	$A_4:C_4$	$48$	48.a1.a1	$3375$	24.a1.a1	$6750$	$24$	$1$
162000.x.4a1	$4$	C		$3$	\(\Q(\sqrt{-3}) \)	162000.x.4a	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.4a2	$4$	C		$3$	\(\Q(\sqrt{-3}) \)	162000.x.4a	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.4b1	$4$	C		$3$	\(\Q(\sqrt{-3}) \)	162000.x.4b	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.4b2	$4$	C		$3$	\(\Q(\sqrt{-3}) \)	162000.x.4b	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.4c1	$4$	C		$12$	\(\Q(\sqrt{-1}) \)	162000.x.4c	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.4c2	$4$	C		$12$	\(\Q(\sqrt{-1}) \)	162000.x.4c	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.4c3	$4$	C		$12$	\(\Q(\sqrt{-1}) \)	162000.x.4c	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.4c4	$4$	C		$12$	\(\Q(\sqrt{-1}) \)	162000.x.4c	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.6a	$6$	R		$1$	\(\Q\)	162000.x.6a	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.6b	$6$	R		$1$	\(\Q\)	162000.x.6b	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.6c1	$6$	C		$3$	\(\Q(\sqrt{-3}) \)	162000.x.6c	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.6c2	$6$	C		$3$	\(\Q(\sqrt{-3}) \)	162000.x.6c	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.6d1	$6$	R		$12$	\(\Q(\sqrt{3}) \)	162000.x.6d	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.6d2	$6$	R		$12$	\(\Q(\sqrt{3}) \)	162000.x.6d	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.6e1	$6$	C		$4$	\(\Q(\sqrt{-1}) \)	162000.x.6e	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.6e2	$6$	C		$4$	\(\Q(\sqrt{-1}) \)	162000.x.6e	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.8a1	$8$	C		$3$	\(\Q(\sqrt{-3}) \)	162000.x.8a	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.8a2	$8$	C		$3$	\(\Q(\sqrt{-3}) \)	162000.x.8a	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.8b1	$8$	C		$3$	\(\Q(\sqrt{-3}) \)	162000.x.8b	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.8b2	$8$	C		$3$	\(\Q(\sqrt{-3}) \)	162000.x.8b	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.12a	$12$	R		$1$	\(\Q\)	162000.x.12a	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12b	$12$	R		$1$	\(\Q\)	162000.x.12b	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.12c	$12$	R		$1$	\(\Q\)	162000.x.12c	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12d	$12$	R		$1$	\(\Q\)	162000.x.12d	$(C_{15}^3.A_4):C_4$	$C_3^3:S_4$	$648$	648.a1.a1	$250$	648.a1.a1	$250$	$648$	$1$
162000.x.12e1	$12$	R		$5$	\(\Q(\sqrt{5}) \)	162000.x.12e	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12e2	$12$	R		$5$	\(\Q(\sqrt{5}) \)	162000.x.12e	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12f1	$12$	R		$5$	\(\Q(\sqrt{5}) \)	162000.x.12f	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12f2	$12$	R		$5$	\(\Q(\sqrt{5}) \)	162000.x.12f	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12g1	$12$	R		$5$	\(\Q(\sqrt{5}) \)	162000.x.12g	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12g2	$12$	R		$5$	\(\Q(\sqrt{5}) \)	162000.x.12g	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12h1	$12$	C		$4$	\(\Q(\sqrt{-1}) \)	162000.x.12h	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.12h2	$12$	C		$4$	\(\Q(\sqrt{-1}) \)	162000.x.12h	$(C_{15}^3.A_4):C_4$	$(C_3^2\times C_6).S_4$	$1296$	1296.a1.a1	$125$	648.a1.a1	$250$	$648$	$1$
162000.x.12i1	$12$	C		$20$	\(\Q(i, \sqrt{5})\)	162000.x.12i	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12i2	$12$	C		$20$	\(\Q(i, \sqrt{5})\)	162000.x.12i	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12i3	$12$	C		$20$	\(\Q(i, \sqrt{5})\)	162000.x.12i	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.12i4	$12$	C		$20$	\(\Q(i, \sqrt{5})\)	162000.x.12i	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.16a	$16$	R		$1$	\(\Q\)	162000.x.16a	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$
162000.x.16b1	$16$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	162000.x.16b	$(C_{15}^3.A_4):C_4$	$(C_{15}^3.A_4):C_4$	$162000$	162000.a1.a1	$1$	162000.a1.a1	$1$	$162000$	$1$
162000.x.16b2	$16$	C	✓	$3$	\(\Q(\sqrt{-3}) \)	162000.x.16b	$(C_{15}^3.A_4):C_4$	$(C_{15}^3.A_4):C_4$	$162000$	162000.a1.a1	$1$	162000.a1.a1	$1$	$162000$	$1$
162000.x.16c1	$16$	C		$15$	\(\Q(\sqrt{-15}) \)	162000.x.16c	$(C_{15}^3.A_4):C_4$	$D_5^3.S_3$	$6000$	6000.a1.a1	$27$	6000.a1.a1	$27$	$6000$	$1$