LMFDB - Complex character search results

Refine search

Degree	Type	Faithful	Conductor

Group	Image	Image Order (Kernel Index)	Kernel Order

Center Order	Center Index

		Sort order	Select

Results (1-50 of 348 matches)

Next Download displayed columns for results to

Label	Degree	Type	Faithful	Conductor	Field of Traces	$\Q$-character	Group	Image	Image Order	Kernel	Kernel Order	Center	Center Order	Center Index	Schur Index
81000.bb.1a	$1$	R		$1$	$\Q$	81000.bb.1a	$C_{15}^3.S_4$	$C_1$	$1$	1.a1.a1	$81000$	1.a1.a1	$81000$	$1$	$1$
81000.bb.1b	$1$	R		$1$	$\Q$	81000.bb.1b	$C_{15}^3.S_4$	$C_2$	$2$	2.a1.a1	$40500$	1.a1.a1	$81000$	$1$	$1$
81000.bb.2a	$2$	R		$1$	$\Q$	81000.bb.2a	$C_{15}^3.S_4$	$S_3$	$6$	6.a1.a1	$13500$	6.a1.a1	$13500$	$6$	$1$
81000.bb.3a	$3$	R		$1$	$\Q$	81000.bb.3a	$C_{15}^3.S_4$	$S_4$	$24$	24.a1.a1	$3375$	24.a1.a1	$3375$	$24$	$1$
81000.bb.3b	$3$	R		$1$	$\Q$	81000.bb.3b	$C_{15}^3.S_4$	$S_4$	$24$	24.a1.a1	$3375$	24.a1.a1	$3375$	$24$	$1$
81000.bb.4a1	$4$	C		$3$	$\Q(\sqrt{-3}) $	81000.bb.4a	$C_{15}^3.S_4$	$C_3^3:S_4$	$648$	648.a1.a1	$125$	648.a1.a1	$125$	$648$	$1$
81000.bb.4a2	$4$	C		$3$	$\Q(\sqrt{-3}) $	81000.bb.4a	$C_{15}^3.S_4$	$C_3^3:S_4$	$648$	648.a1.a1	$125$	648.a1.a1	$125$	$648$	$1$
81000.bb.4b1	$4$	C		$3$	$\Q(\sqrt{-3}) $	81000.bb.4b	$C_{15}^3.S_4$	$C_3^3:S_4$	$648$	648.a1.a1	$125$	648.a1.a1	$125$	$648$	$1$
81000.bb.4b2	$4$	C		$3$	$\Q(\sqrt{-3}) $	81000.bb.4b	$C_{15}^3.S_4$	$C_3^3:S_4$	$648$	648.a1.a1	$125$	648.a1.a1	$125$	$648$	$1$
81000.bb.4c1	$4$	C		$5$	$\Q(\zeta_{5})$	81000.bb.4c	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.4c2	$4$	C		$5$	$\Q(\zeta_{5})$	81000.bb.4c	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.4c3	$4$	C		$5$	$\Q(\zeta_{5})$	81000.bb.4c	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.4c4	$4$	C		$5$	$\Q(\zeta_{5})$	81000.bb.4c	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.4d1	$4$	C		$5$	$\Q(\zeta_{5})$	81000.bb.4d	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.4d2	$4$	C		$5$	$\Q(\zeta_{5})$	81000.bb.4d	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.4d3	$4$	C		$5$	$\Q(\zeta_{5})$	81000.bb.4d	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.4d4	$4$	C		$5$	$\Q(\zeta_{5})$	81000.bb.4d	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.4e1	$4$	C	✓	$15$	$\Q(\sqrt{-3}) $	81000.bb.4e	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4e2	$4$	C	✓	$15$	$\Q(\sqrt{-3}) $	81000.bb.4e	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4e3	$4$	C	✓	$15$	$\Q(\sqrt{-3}) $	81000.bb.4e	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4e4	$4$	C	✓	$15$	$\Q(\sqrt{-3}) $	81000.bb.4e	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4e5	$4$	C	✓	$15$	$\Q(\sqrt{-3}) $	81000.bb.4e	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4e6	$4$	C	✓	$15$	$\Q(\sqrt{-3}) $	81000.bb.4e	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4e7	$4$	C	✓	$15$	$\Q(\sqrt{-3}) $	81000.bb.4e	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4e8	$4$	C	✓	$15$	$\Q(\sqrt{-3}) $	81000.bb.4e	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4f1	$4$	C	✓	$15$	$\Q(\sqrt{-3}) $	81000.bb.4f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4f2	$4$	C	✓	$15$	$\Q(\sqrt{-3}) $	81000.bb.4f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4f3	$4$	C	✓	$15$	$\Q(\sqrt{-3}) $	81000.bb.4f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4f4	$4$	C	✓	$15$	$\Q(\sqrt{-3}) $	81000.bb.4f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4f5	$4$	C	✓	$15$	$\Q(\sqrt{-3}) $	81000.bb.4f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4f6	$4$	C	✓	$15$	$\Q(\sqrt{-3}) $	81000.bb.4f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4f7	$4$	C	✓	$15$	$\Q(\sqrt{-3}) $	81000.bb.4f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4f8	$4$	C	✓	$15$	$\Q(\sqrt{-3}) $	81000.bb.4f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.6a	$6$	R		$1$	$\Q$	81000.bb.6a	$C_{15}^3.S_4$	$C_3^3:S_4$	$648$	648.a1.a1	$125$	648.a1.a1	$125$	$648$	$1$
81000.bb.6b	$6$	R		$1$	$\Q$	81000.bb.6b	$C_{15}^3.S_4$	$C_3^3:S_4$	$648$	648.a1.a1	$125$	648.a1.a1	$125$	$648$	$1$
81000.bb.6c1	$6$	R		$5$	$\Q(\sqrt{5}) $	81000.bb.6c	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.6c2	$6$	R		$5$	$\Q(\sqrt{5}) $	81000.bb.6c	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.6d1	$6$	R		$5$	$\Q(\sqrt{5}) $	81000.bb.6d	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.6d2	$6$	R		$5$	$\Q(\sqrt{5}) $	81000.bb.6d	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.6e1	$6$	C		$3$	$\Q(\sqrt{-3}) $	81000.bb.6e	$C_{15}^3.S_4$	$C_3^3:S_4$	$648$	648.a1.a1	$125$	648.a1.a1	$125$	$648$	$1$
81000.bb.6e2	$6$	C		$3$	$\Q(\sqrt{-3}) $	81000.bb.6e	$C_{15}^3.S_4$	$C_3^3:S_4$	$648$	648.a1.a1	$125$	648.a1.a1	$125$	$648$	$1$
81000.bb.6f1	$6$	R	✓	$15$	$\Q(\zeta_{15})^+$	81000.bb.6f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.6f2	$6$	R	✓	$15$	$\Q(\zeta_{15})^+$	81000.bb.6f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.6f3	$6$	R	✓	$15$	$\Q(\zeta_{15})^+$	81000.bb.6f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.6f4	$6$	R	✓	$15$	$\Q(\zeta_{15})^+$	81000.bb.6f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.6g1	$6$	C		$5$	$\Q(\zeta_{5})$	81000.bb.6g	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.6g2	$6$	C		$5$	$\Q(\zeta_{5})$	81000.bb.6g	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.6g3	$6$	C		$5$	$\Q(\zeta_{5})$	81000.bb.6g	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.6g4	$6$	C		$5$	$\Q(\zeta_{5})$	81000.bb.6g	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.6h1	$6$	R	✓	$15$	$\Q(\zeta_{15})^+$	81000.bb.6h	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$

Next Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 348 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
81000.bb.1a	$1$	R		$1$	\(\Q\)	81000.bb.1a	$C_{15}^3.S_4$	$C_1$	$1$	1.a1.a1	$81000$	1.a1.a1	$81000$	$1$	$1$
81000.bb.1b	$1$	R		$1$	\(\Q\)	81000.bb.1b	$C_{15}^3.S_4$	$C_2$	$2$	2.a1.a1	$40500$	1.a1.a1	$81000$	$1$	$1$
81000.bb.2a	$2$	R		$1$	\(\Q\)	81000.bb.2a	$C_{15}^3.S_4$	$S_3$	$6$	6.a1.a1	$13500$	6.a1.a1	$13500$	$6$	$1$
81000.bb.3a	$3$	R		$1$	\(\Q\)	81000.bb.3a	$C_{15}^3.S_4$	$S_4$	$24$	24.a1.a1	$3375$	24.a1.a1	$3375$	$24$	$1$
81000.bb.3b	$3$	R		$1$	\(\Q\)	81000.bb.3b	$C_{15}^3.S_4$	$S_4$	$24$	24.a1.a1	$3375$	24.a1.a1	$3375$	$24$	$1$
81000.bb.4a1	$4$	C		$3$	\(\Q(\sqrt{-3}) \)	81000.bb.4a	$C_{15}^3.S_4$	$C_3^3:S_4$	$648$	648.a1.a1	$125$	648.a1.a1	$125$	$648$	$1$
81000.bb.4a2	$4$	C		$3$	\(\Q(\sqrt{-3}) \)	81000.bb.4a	$C_{15}^3.S_4$	$C_3^3:S_4$	$648$	648.a1.a1	$125$	648.a1.a1	$125$	$648$	$1$
81000.bb.4b1	$4$	C		$3$	\(\Q(\sqrt{-3}) \)	81000.bb.4b	$C_{15}^3.S_4$	$C_3^3:S_4$	$648$	648.a1.a1	$125$	648.a1.a1	$125$	$648$	$1$
81000.bb.4b2	$4$	C		$3$	\(\Q(\sqrt{-3}) \)	81000.bb.4b	$C_{15}^3.S_4$	$C_3^3:S_4$	$648$	648.a1.a1	$125$	648.a1.a1	$125$	$648$	$1$
81000.bb.4c1	$4$	C		$5$	\(\Q(\zeta_{5})\)	81000.bb.4c	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.4c2	$4$	C		$5$	\(\Q(\zeta_{5})\)	81000.bb.4c	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.4c3	$4$	C		$5$	\(\Q(\zeta_{5})\)	81000.bb.4c	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.4c4	$4$	C		$5$	\(\Q(\zeta_{5})\)	81000.bb.4c	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.4d1	$4$	C		$5$	\(\Q(\zeta_{5})\)	81000.bb.4d	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.4d2	$4$	C		$5$	\(\Q(\zeta_{5})\)	81000.bb.4d	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.4d3	$4$	C		$5$	\(\Q(\zeta_{5})\)	81000.bb.4d	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.4d4	$4$	C		$5$	\(\Q(\zeta_{5})\)	81000.bb.4d	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.4e1	$4$	C	✓	$15$	\(\Q(\sqrt{-3}) \)	81000.bb.4e	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4e2	$4$	C	✓	$15$	\(\Q(\sqrt{-3}) \)	81000.bb.4e	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4e3	$4$	C	✓	$15$	\(\Q(\sqrt{-3}) \)	81000.bb.4e	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4e4	$4$	C	✓	$15$	\(\Q(\sqrt{-3}) \)	81000.bb.4e	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4e5	$4$	C	✓	$15$	\(\Q(\sqrt{-3}) \)	81000.bb.4e	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4e6	$4$	C	✓	$15$	\(\Q(\sqrt{-3}) \)	81000.bb.4e	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4e7	$4$	C	✓	$15$	\(\Q(\sqrt{-3}) \)	81000.bb.4e	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4e8	$4$	C	✓	$15$	\(\Q(\sqrt{-3}) \)	81000.bb.4e	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4f1	$4$	C	✓	$15$	\(\Q(\sqrt{-3}) \)	81000.bb.4f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4f2	$4$	C	✓	$15$	\(\Q(\sqrt{-3}) \)	81000.bb.4f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4f3	$4$	C	✓	$15$	\(\Q(\sqrt{-3}) \)	81000.bb.4f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4f4	$4$	C	✓	$15$	\(\Q(\sqrt{-3}) \)	81000.bb.4f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4f5	$4$	C	✓	$15$	\(\Q(\sqrt{-3}) \)	81000.bb.4f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4f6	$4$	C	✓	$15$	\(\Q(\sqrt{-3}) \)	81000.bb.4f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4f7	$4$	C	✓	$15$	\(\Q(\sqrt{-3}) \)	81000.bb.4f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.4f8	$4$	C	✓	$15$	\(\Q(\sqrt{-3}) \)	81000.bb.4f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.6a	$6$	R		$1$	\(\Q\)	81000.bb.6a	$C_{15}^3.S_4$	$C_3^3:S_4$	$648$	648.a1.a1	$125$	648.a1.a1	$125$	$648$	$1$
81000.bb.6b	$6$	R		$1$	\(\Q\)	81000.bb.6b	$C_{15}^3.S_4$	$C_3^3:S_4$	$648$	648.a1.a1	$125$	648.a1.a1	$125$	$648$	$1$
81000.bb.6c1	$6$	R		$5$	\(\Q(\sqrt{5}) \)	81000.bb.6c	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.6c2	$6$	R		$5$	\(\Q(\sqrt{5}) \)	81000.bb.6c	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.6d1	$6$	R		$5$	\(\Q(\sqrt{5}) \)	81000.bb.6d	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.6d2	$6$	R		$5$	\(\Q(\sqrt{5}) \)	81000.bb.6d	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.6e1	$6$	C		$3$	\(\Q(\sqrt{-3}) \)	81000.bb.6e	$C_{15}^3.S_4$	$C_3^3:S_4$	$648$	648.a1.a1	$125$	648.a1.a1	$125$	$648$	$1$
81000.bb.6e2	$6$	C		$3$	\(\Q(\sqrt{-3}) \)	81000.bb.6e	$C_{15}^3.S_4$	$C_3^3:S_4$	$648$	648.a1.a1	$125$	648.a1.a1	$125$	$648$	$1$
81000.bb.6f1	$6$	R	✓	$15$	\(\Q(\zeta_{15})^+\)	81000.bb.6f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.6f2	$6$	R	✓	$15$	\(\Q(\zeta_{15})^+\)	81000.bb.6f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.6f3	$6$	R	✓	$15$	\(\Q(\zeta_{15})^+\)	81000.bb.6f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.6f4	$6$	R	✓	$15$	\(\Q(\zeta_{15})^+\)	81000.bb.6f	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$
81000.bb.6g1	$6$	C		$5$	\(\Q(\zeta_{5})\)	81000.bb.6g	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.6g2	$6$	C		$5$	\(\Q(\zeta_{5})\)	81000.bb.6g	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.6g3	$6$	C		$5$	\(\Q(\zeta_{5})\)	81000.bb.6g	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.6g4	$6$	C		$5$	\(\Q(\zeta_{5})\)	81000.bb.6g	$C_{15}^3.S_4$	$C_5^3:S_4$	$3000$	3000.a1.a1	$27$	3000.a1.a1	$27$	$3000$	$1$
81000.bb.6h1	$6$	R	✓	$15$	\(\Q(\zeta_{15})^+\)	81000.bb.6h	$C_{15}^3.S_4$	$C_{15}^3.S_4$	$81000$	81000.a1.a1	$1$	81000.a1.a1	$1$	$81000$	$1$