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Results (1-50 of 287 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
432.1.e.a	$432$	$1$	432.e	3.b	$2$	$1$	$1$	$0.216$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(1\)		$1$		\(q+q^{7}-q^{13}+q^{19}+q^{25}-2q^{31}+\cdots\)
432.1.g.a	$432$	$1$	432.g	4.b	$2$	$2$	$2$	$0.216$	\(\Q(\sqrt{-3}) \)	$D_{6}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$		\(q+(\zeta_{6}+\zeta_{6}^{2})q^{7}+q^{13}+(-\zeta_{6}-\zeta_{6}^{2}+\cdots)q^{19}+\cdots\)
432.1.j.a	$432$	$1$	432.j	48.i	$4$	$4$	$2$	$0.216$	\(\Q(\zeta_{8})\)	$S_{4}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+\zeta_{8}^{2}q^{7}+\cdots\)
432.2.a.a	$432$	$2$	432.a	1.a	$1$	$1$	$1$	$3.450$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+3q^{7}+4q^{11}+q^{13}+4q^{17}+\cdots\)
432.2.a.b	$432$	$2$	432.a	1.a	$1$	$1$	$1$	$3.450$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(0\)	\(-3\)	\(1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{5}+q^{7}-3q^{11}-4q^{13}-2q^{19}+\cdots\)
432.2.a.c	$432$	$2$	432.a	1.a	$1$	$1$	$1$	$3.450$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(0\)	\(-1\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{5}-3q^{7}-5q^{11}+4q^{13}-8q^{17}+\cdots\)
432.2.a.d	$432$	$2$	432.a	1.a	$1$	$1$	$1$	$3.450$	\(\Q\)	$_{}$	\(\Q(\sqrt{-3}) \)	None	✓	$2$	$1$	\(0\)	\(0\)	\(0\)	\(-5\)	$+$	$1$	$N(\mathrm{U}(1))$	\(q-5q^{7}-7q^{13}+q^{19}-5q^{25}+4q^{31}+\cdots\)
432.2.a.e	$432$	$2$	432.a	1.a	$1$	$1$	$1$	$3.450$	\(\Q\)	$_{}$	\(\Q(\sqrt{-3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(1\)	$-$	$1$	$N(\mathrm{U}(1))$	\(q+q^{7}+5q^{13}+7q^{19}-5q^{25}+4q^{31}+\cdots\)
432.2.a.f	$432$	$2$	432.a	1.a	$1$	$1$	$1$	$3.450$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(0\)	\(1\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}-3q^{7}+5q^{11}+4q^{13}+8q^{17}+\cdots\)
432.2.a.g	$432$	$2$	432.a	1.a	$1$	$1$	$1$	$3.450$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(0\)	\(3\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+3q^{5}+q^{7}+3q^{11}-4q^{13}-2q^{19}+\cdots\)
432.2.a.h	$432$	$2$	432.a	1.a	$1$	$1$	$1$	$3.450$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(0\)	\(4\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{5}+3q^{7}-4q^{11}+q^{13}-4q^{17}+\cdots\)
432.2.c.a	$432$	$2$	432.c	12.b	$2$	$2$	$2$	$3.450$	\(\Q(\sqrt{-3}) \)	$_{}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2\cdot 3$	$\mathrm{U}(1)[D_{2}]$	\(q-\zeta_{6}q^{7}-5q^{13}-\zeta_{6}q^{19}+5q^{25}+\cdots\)
432.2.c.b	$432$	$2$	432.c	12.b	$2$	$2$	$2$	$3.450$	\(\Q(\sqrt{-3}) \)	$_{}$	\(\Q(\sqrt{-3}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q-\zeta_{6}q^{7}+7q^{13}-5\zeta_{6}q^{19}+5q^{25}+\cdots\)
432.2.c.c	$432$	$2$	432.c	12.b	$2$	$4$	$4$	$3.450$	\(\Q(\zeta_{12})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{2}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\zeta_{12}q^{5}+\zeta_{12}^{2}q^{7}-\zeta_{12}^{3}q^{11}+\cdots\)
432.2.i.a	$432$	$2$	432.i	9.c	$3$	$2$	$1$	$3.450$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-1\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-\zeta_{6}q^{5}+(-3+3\zeta_{6})q^{7}+(-5+5\zeta_{6})q^{11}+\cdots\)
432.2.i.b	$432$	$2$	432.i	9.c	$3$	$2$	$1$	$3.450$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(2-2\zeta_{6})q^{7}+(3-3\zeta_{6})q^{11}-2\zeta_{6}q^{13}+\cdots\)
432.2.i.c	$432$	$2$	432.i	9.c	$3$	$2$	$1$	$3.450$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(3\)	\(-1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+3\zeta_{6}q^{5}+(-1+\zeta_{6})q^{7}+(-3+3\zeta_{6})q^{11}+\cdots\)
432.2.i.d	$432$	$2$	432.i	9.c	$3$	$4$	$2$	$3.450$	\(\Q(\sqrt{-3}, \sqrt{-11})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-1\)	\(3\)		$3$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-\beta _{1}+\beta _{3})q^{5}+(2-\beta _{1}+\beta _{2}-\beta _{3})q^{7}+\cdots\)
432.2.k.a	$432$	$2$	432.k	16.e	$4$	$4$	$2$	$3.450$	\(\Q(\zeta_{8})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(\zeta_{8}+\zeta_{8}^{3})q^{2}-2q^{4}-\zeta_{8}q^{5}+3\zeta_{8}^{2}q^{7}+\cdots\)
432.2.k.b	$432$	$2$	432.k	16.e	$4$	$4$	$2$	$3.450$	\(\Q(\zeta_{8})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(\zeta_{8}+\zeta_{8}^{3})q^{2}-2q^{4}-\zeta_{8}q^{5}-3\zeta_{8}^{2}q^{7}+\cdots\)
432.2.k.c	$432$	$2$	432.k	16.e	$4$	$24$	$12$	$3.450$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
432.2.k.d	$432$	$2$	432.k	16.e	$4$	$32$	$16$	$3.450$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
432.2.l.a	$432$	$2$	432.l	48.k	$4$	$32$	$16$	$3.450$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
432.2.l.b	$432$	$2$	432.l	48.k	$4$	$32$	$16$	$3.450$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{4}]$
432.2.s.a	$432$	$2$	432.s	36.h	$6$	$2$	$1$	$3.450$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-3\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-2+\zeta_{6})q^{5}+(-1-\zeta_{6})q^{7}+(-3+\cdots)q^{11}+\cdots\)
432.2.s.b	$432$	$2$	432.s	36.h	$6$	$2$	$1$	$3.450$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-3\)	\(3\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-2+\zeta_{6})q^{5}+(1+\zeta_{6})q^{7}+(3-3\zeta_{6})q^{11}+\cdots\)
432.2.s.c	$432$	$2$	432.s	36.h	$6$	$2$	$1$	$3.450$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(6\)	\(-6\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(4-2\zeta_{6})q^{5}+(-2-2\zeta_{6})q^{7}+(3+\cdots)q^{11}+\cdots\)
432.2.s.d	$432$	$2$	432.s	36.h	$6$	$2$	$1$	$3.450$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(6\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(4-2\zeta_{6})q^{5}+(2+2\zeta_{6})q^{7}+(-3+\cdots)q^{11}+\cdots\)
432.2.s.e	$432$	$2$	432.s	36.h	$6$	$4$	$2$	$3.450$	\(\Q(\zeta_{12})\)	$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)		$3^{2}$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-2+\zeta_{12}^{2})q^{5}+\zeta_{12}q^{7}+(-\zeta_{12}+\cdots)q^{11}+\cdots\)
432.2.u.a	$432$	$2$	432.u	27.e	$9$	$6$	$1$	$3.450$	\(\Q(\zeta_{18})\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-3\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{9}]$	\(q+(-2\zeta_{18}^{2}+\zeta_{18}^{5})q^{3}+(-\zeta_{18}^{2}+\cdots)q^{5}+\cdots\)
432.2.u.b	$432$	$2$	432.u	27.e	$9$	$12$	$2$	$3.450$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-3\)	\(3\)		$3$	$\mathrm{SU}(2)[C_{9}]$	\(q+(\beta _{3}-\beta _{4}-\beta _{11})q^{3}+(-\beta _{1}+\beta _{5}+\cdots)q^{5}+\cdots\)
432.2.u.c	$432$	$2$	432.u	27.e	$9$	$12$	$2$	$3.450$	12.0.\(\cdots\).1	$_{}$	None	None		$2$	$0$	\(0\)	\(6\)	\(-3\)	\(6\)		$3$	$\mathrm{SU}(2)[C_{9}]$	\(q+(-\beta _{2}+\beta _{6}+\beta _{7}-\beta _{9})q^{3}+(\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
432.2.u.d	$432$	$2$	432.u	27.e	$9$	$18$	$3$	$3.450$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(3\)	\(0\)		$3^{3}$	$\mathrm{SU}(2)[C_{9}]$	\(q-\beta _{12}q^{3}+(-1+\beta _{1}-\beta _{4}-\beta _{6}-\beta _{7}+\cdots)q^{5}+\cdots\)
432.2.u.e	$432$	$2$	432.u	27.e	$9$	$24$	$4$	$3.450$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(3\)			$\mathrm{SU}(2)[C_{9}]$
432.2.u.f	$432$	$2$	432.u	27.e	$9$	$30$	$5$	$3.450$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-3\)			$\mathrm{SU}(2)[C_{9}]$
432.2.v.a	$432$	$2$	432.v	144.u	$12$	$88$	$22$	$3.450$		$_{}$	None	None		$4$	$0$	\(6\)	\(0\)	\(6\)	\(-4\)			$\mathrm{SU}(2)[C_{12}]$
432.2.y.a	$432$	$2$	432.y	144.x	$12$	$4$	$1$	$3.450$	\(\Q(\zeta_{12})\)	$_{}$	None	None		$2$	$1$	\(-2\)	\(0\)	\(-2\)	\(-12\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-1-\zeta_{12}+\zeta_{12}^{2})q^{2}+(2\zeta_{12}-2\zeta_{12}^{3})q^{4}+\cdots\)
432.2.y.b	$432$	$2$	432.y	144.x	$12$	$4$	$1$	$3.450$	\(\Q(\zeta_{12})\)	$_{}$	None	None		$2$	$0$	\(2\)	\(0\)	\(-4\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-\zeta_{12}+\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}-2\zeta_{12}q^{4}+\cdots\)
432.2.y.c	$432$	$2$	432.y	144.x	$12$	$4$	$1$	$3.450$	\(\Q(\zeta_{12})\)	$_{}$	None	None		$2$	$0$	\(2\)	\(0\)	\(8\)	\(-6\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(-\zeta_{12}+\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}-2\zeta_{12}q^{4}+\cdots\)
432.2.y.d	$432$	$2$	432.y	144.x	$12$	$4$	$1$	$3.450$	\(\Q(\zeta_{12})\)	$_{}$	None	None		$2$	$0$	\(4\)	\(0\)	\(4\)	\(12\)		$1$	$\mathrm{SU}(2)[C_{12}]$	\(q+(1+\zeta_{12}^{3})q^{2}+2\zeta_{12}^{3}q^{4}+(1+\zeta_{12}+\cdots)q^{5}+\cdots\)
432.2.y.e	$432$	$2$	432.y	144.x	$12$	$72$	$18$	$3.450$		$_{}$	None	None		$4$	$0$	\(-4\)	\(0\)	\(-4\)	\(0\)			$\mathrm{SU}(2)[C_{12}]$
432.2.be.a	$432$	$2$	432.be	108.l	$18$	$36$	$6$	$3.450$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(-6\)	\(0\)			$\mathrm{SU}(2)[C_{18}]$
432.2.be.b	$432$	$2$	432.be	108.l	$18$	$36$	$6$	$3.450$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(3\)	\(0\)			$\mathrm{SU}(2)[C_{18}]$
432.2.be.c	$432$	$2$	432.be	108.l	$18$	$36$	$6$	$3.450$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(3\)	\(0\)			$\mathrm{SU}(2)[C_{18}]$
432.2.bg.a	$432$	$2$	432.bg	432.ag	$36$	$840$	$70$	$3.450$		$_{}$	None	None		$4$	$0$	\(-12\)	\(-12\)	\(-12\)	\(0\)			$\mathrm{SU}(2)[C_{36}]$
432.2.bj.a	$432$	$2$	432.bj	432.aj	$36$	$840$	$70$	$3.450$		$_{}$	None	None		$4$	$0$	\(-12\)	\(-12\)	\(-12\)	\(-24\)			$\mathrm{SU}(2)[C_{36}]$
432.3.e.a	$432$	$3$	432.e	3.b	$2$	$1$	$1$	$11.771$	\(\Q\)	$_{}$	\(\Q(\sqrt{-3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-11\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-11q^{7}+23q^{13}+37q^{19}+5^{2}q^{25}+\cdots\)
432.3.e.b	$432$	$3$	432.e	3.b	$2$	$1$	$1$	$11.771$	\(\Q\)	$_{}$	\(\Q(\sqrt{-3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(13\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+13q^{7}-q^{13}-11q^{19}+5^{2}q^{25}+\cdots\)
432.3.e.c	$432$	$3$	432.e	3.b	$2$	$2$	$2$	$11.771$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-10\)		$3$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{5}-5q^{7}-5iq^{11}-10q^{13}+\cdots\)
432.3.e.d	$432$	$3$	432.e	3.b	$2$	$2$	$2$	$11.771$	\(\Q(\sqrt{-2}) \)	$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-10\)		$2\cdot 3$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta q^{5}-5q^{7}+\beta q^{11}-q^{13}-3\beta q^{17}+\cdots\)