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Results (26 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
353.2.a.a	$353$	$2$	353.a	1.a	$1$	$1$	$1$	$2.819$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(2\)	\(2\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2q^{3}-q^{4}+2q^{5}-2q^{6}-2q^{7}+\cdots\)
353.2.a.b	$353$	$2$	353.a	1.a	$1$	$3$	$3$	$2.819$	3.3.229.1	None	✓	$1$	$0$	\(1\)	\(3\)	\(2\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(\beta _{1}-\beta _{2})q^{2}+(1+\beta _{1})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots\)
353.2.a.c	$353$	$2$	353.a	1.a	$1$	$11$	$11$	$2.819$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(-5\)	\(-5\)	\(-4\)	\(-25\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2}-\beta _{5}-\beta _{8}+\cdots)q^{3}+\cdots\)
353.2.a.d	$353$	$2$	353.a	1.a	$1$	$14$	$14$	$2.819$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(-2\)	\(-4\)	\(29\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{5}q^{3}+(1+\beta _{2})q^{4}+\beta _{12}q^{5}+\cdots\)
353.2.b.a	$353$	$2$	353.b	353.b	$2$	$28$	$28$	$2.819$		None		$2$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
353.2.c.a	$353$	$2$	353.c	353.c	$4$	$2$	$1$	$2.819$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(2\)	\(0\)	\(-2\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+q^{2}-q^{4}+(-1-i)q^{5}+(2-2i)q^{7}+\cdots\)
353.2.c.b	$353$	$2$	353.c	353.c	$4$	$8$	$4$	$2.819$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None		$2$	$0$	\(0\)	\(2\)	\(6\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{1}q^{3}-2q^{4}+(\beta _{1}-\beta _{4}+\beta _{5})q^{5}+\cdots\)
353.2.c.c	$353$	$2$	353.c	353.c	$4$	$46$	$23$	$2.819$		None		$2$	$0$	\(-2\)	\(-4\)	\(-14\)	\(-2\)			$\mathrm{SU}(2)[C_{4}]$
353.2.d.a	$353$	$2$	353.d	353.d	$8$	$112$	$28$	$2.819$		None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(-4\)			$\mathrm{SU}(2)[C_{8}]$
353.2.e.a	$353$	$2$	353.e	353.e	$11$	$280$	$28$	$2.819$		None		$2$	$0$	\(-7\)	\(-5\)	\(-1\)	\(-18\)			$\mathrm{SU}(2)[C_{11}]$
353.2.f.a	$353$	$2$	353.f	353.f	$16$	$232$	$29$	$2.819$		None		$2$	$0$	\(-8\)	\(-8\)	\(-8\)	\(-8\)			$\mathrm{SU}(2)[C_{16}]$
353.2.g.a	$353$	$2$	353.g	353.g	$22$	$280$	$28$	$2.819$		None		$2$	$0$	\(-7\)	\(-11\)	\(-11\)	\(0\)			$\mathrm{SU}(2)[C_{22}]$
353.2.i.a	$353$	$2$	353.i	353.i	$44$	$560$	$28$	$2.819$		None		$2$	$0$	\(-22\)	\(-20\)	\(-12\)	\(-22\)			$\mathrm{SU}(2)[C_{44}]$
353.2.j.a	$353$	$2$	353.j	353.j	$88$	$1120$	$28$	$2.819$		None		$2$	$0$	\(-44\)	\(-44\)	\(-40\)	\(-40\)			$\mathrm{SU}(2)[C_{88}]$
353.2.k.a	$353$	$2$	353.k	353.k	$176$	$2320$	$29$	$2.819$		None		$2$	$0$	\(-80\)	\(-80\)	\(-80\)	\(-80\)			$\mathrm{SU}(2)[C_{176}]$
353.3.h.a	$353$	$3$	353.h	353.h	$32$	$928$	$58$	$9.619$		None		$2$	$0$	\(-16\)	\(-16\)	\(0\)	\(-16\)			$\mathrm{SU}(2)[C_{32}]$
353.3.l.a	$353$	$3$	353.l	353.l	$352$	$9280$	$58$	$9.619$		None		$2$	$0$	\(-160\)	\(-160\)	\(-176\)	\(-160\)			$\mathrm{SU}(2)[C_{352}]$
353.4.a.a	$353$	$4$	353.a	1.a	$1$	$40$	$40$	$20.828$		None	✓	$1$	$1$	\(-13\)	\(-18\)	\(-30\)	\(-220\)	$-$		$\mathrm{SU}(2)$
353.4.a.b	$353$	$4$	353.a	1.a	$1$	$48$	$48$	$20.828$		None	✓	$1$	$0$	\(11\)	\(18\)	\(20\)	\(214\)	$+$		$\mathrm{SU}(2)$
353.4.b.a	$353$	$4$	353.b	353.b	$2$	$88$	$88$	$20.828$		None		$2$	$0$	\(-2\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
353.6.a.a	$353$	$6$	353.a	1.a	$1$	$69$	$69$	$56.615$		None	✓	$1$	$1$	\(-25\)	\(-45\)	\(-100\)	\(-1461\)	$+$		$\mathrm{SU}(2)$
353.6.a.b	$353$	$6$	353.a	1.a	$1$	$77$	$77$	$56.615$		None	✓	$1$	$0$	\(23\)	\(63\)	\(150\)	\(1577\)	$-$		$\mathrm{SU}(2)$
353.8.a.a	$353$	$8$	353.a	1.a	$1$	$99$	$99$	$110.272$		None	✓	$1$	$1$	\(-41\)	\(-189\)	\(-750\)	\(-10831\)	$-$		$\mathrm{SU}(2)$
353.8.a.b	$353$	$8$	353.a	1.a	$1$	$107$	$107$	$110.272$		None	✓	$1$	$0$	\(55\)	\(135\)	\(500\)	\(10435\)	$+$		$\mathrm{SU}(2)$
353.10.a.a	$353$	$10$	353.a	1.a	$1$	$128$	$128$	$181.808$		None	✓	$1$	$1$	\(-113\)	\(-486\)	\(-2500\)	\(-76338\)	$+$		$\mathrm{SU}(2)$
353.10.a.b	$353$	$10$	353.a	1.a	$1$	$136$	$136$	$181.808$		None	✓	$1$	$0$	\(79\)	\(486\)	\(3750\)	\(72524\)	$-$		$\mathrm{SU}(2)$