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Results (22 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
283.1.b.a	$283$	$1$	283.b	283.b	$2$	$1$	$1$	$0.141$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-283}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+q^{4}-q^{7}+q^{9}-q^{11}-q^{13}+q^{16}+\cdots\)
283.1.b.b	$283$	$1$	283.b	283.b	$2$	$2$	$2$	$0.141$	\(\Q(\sqrt{-2}) \)	$S_{4}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-2\)		$1$		\(q-\beta q^{2}+\beta q^{3}-q^{4}+\beta q^{5}+2q^{6}+\cdots\)
283.2.a.a	$283$	$2$	283.a	1.a	$1$	$9$	$9$	$2.260$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-6\)	\(-6\)	\(-14\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{5})q^{2}+(-1-\beta _{2})q^{3}+(1+\cdots)q^{4}+\cdots\)
283.2.a.b	$283$	$2$	283.a	1.a	$1$	$14$	$14$	$2.260$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(6\)	\(4\)	\(14\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-\beta _{3}q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{4}+\cdots)q^{5}+\cdots\)
283.2.c.a	$283$	$2$	283.c	283.c	$3$	$46$	$23$	$2.260$		$_{}$	None	None		$2$	$0$	\(-6\)	\(-1\)	\(3\)	\(2\)			$\mathrm{SU}(2)[C_{3}]$
283.2.e.a	$283$	$2$	283.e	283.e	$47$	$1012$	$22$	$2.260$		$_{}$	None	None		$2$	$0$	\(-44\)	\(-41\)	\(-41\)	\(-37\)			$\mathrm{SU}(2)[C_{47}]$
283.2.g.a	$283$	$2$	283.g	283.g	$141$	$2116$	$23$	$2.260$		$_{}$	None	None		$2$	$0$	\(-88\)	\(-93\)	\(-97\)	\(-96\)			$\mathrm{SU}(2)[C_{141}]$
283.3.b.a	$283$	$3$	283.b	283.b	$2$	$3$	$3$	$7.711$	3.3.7641.1	$_{}$	\(\Q(\sqrt{-283}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+4q^{4}+(2\beta _{1}+\beta _{2})q^{7}+9q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
283.3.b.b	$283$	$3$	283.b	283.b	$2$	$44$	$44$	$7.711$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-18\)			$\mathrm{SU}(2)[C_{2}]$
283.3.d.a	$283$	$3$	283.d	283.d	$6$	$92$	$46$	$7.711$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(-3\)	\(16\)			$\mathrm{SU}(2)[C_{6}]$
283.3.f.a	$283$	$3$	283.f	283.f	$94$	$2162$	$47$	$7.711$		$_{}$	None	None		$2$	$0$	\(-47\)	\(-47\)	\(-47\)	\(-29\)			$\mathrm{SU}(2)[C_{94}]$
283.3.h.a	$283$	$3$	283.h	283.h	$282$	$4232$	$46$	$7.711$		$_{}$	None	None		$2$	$0$	\(-94\)	\(-94\)	\(-91\)	\(-110\)			$\mathrm{SU}(2)[C_{282}]$
283.4.a.a	$283$	$4$	283.a	1.a	$1$	$32$	$32$	$16.698$		$_{}$	None	None	✓	$1$	$1$	\(-15\)	\(-23\)	\(-77\)	\(-48\)	$-$		$\mathrm{SU}(2)$
283.4.a.b	$283$	$4$	283.a	1.a	$1$	$38$	$38$	$16.698$		$_{}$	None	None	✓	$1$	$0$	\(15\)	\(19\)	\(93\)	\(22\)	$+$		$\mathrm{SU}(2)$
283.5.b.a	$283$	$5$	283.b	283.b	$2$	$3$	$3$	$29.254$	3.3.7641.1	$_{}$	\(\Q(\sqrt{-283}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$3$	$\mathrm{U}(1)[D_{2}]$	\(q+2^{4}q^{4}+(4\beta _{1}-11\beta _{2})q^{7}+3^{4}q^{9}+\cdots\)
283.5.b.b	$283$	$5$	283.b	283.b	$2$	$90$	$90$	$29.254$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(78\)			$\mathrm{SU}(2)[C_{2}]$
283.6.a.a	$283$	$6$	283.a	1.a	$1$	$56$	$56$	$45.389$		$_{}$	None	None	✓	$1$	$1$	\(-33\)	\(-62\)	\(-462\)	\(-234\)	$+$		$\mathrm{SU}(2)$
283.6.a.b	$283$	$6$	283.a	1.a	$1$	$62$	$62$	$45.389$		$_{}$	None	None	✓	$1$	$0$	\(27\)	\(64\)	\(388\)	\(256\)	$-$		$\mathrm{SU}(2)$
283.8.a.a	$283$	$8$	283.a	1.a	$1$	$79$	$79$	$88.405$		$_{}$	None	None	✓	$1$	$1$	\(-57\)	\(-176\)	\(-2002\)	\(-1384\)	$-$		$\mathrm{SU}(2)$
283.8.a.b	$283$	$8$	283.a	1.a	$1$	$85$	$85$	$88.405$		$_{}$	None	None	✓	$1$	$0$	\(63\)	\(202\)	\(2248\)	\(2046\)	$+$		$\mathrm{SU}(2)$
283.10.a.a	$283$	$10$	283.a	1.a	$1$	$103$	$103$	$145.755$		$_{}$	None	None	✓	$1$	$1$	\(-129\)	\(-641\)	\(-10967\)	\(-14482\)	$+$		$\mathrm{SU}(2)$
283.10.a.b	$283$	$10$	283.a	1.a	$1$	$109$	$109$	$145.755$		$_{}$	None	None	✓	$1$	$0$	\(111\)	\(493\)	\(10283\)	\(9528\)	$-$		$\mathrm{SU}(2)$