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Results (18 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
463.1.b.a	$463$	$1$	463.b	463.b	$2$	$3$	$3$	$0.231$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-463}) \)	None	✓	$2$	$0$	\(-1\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-1-\beta _{2})q^{8}+\cdots\)
463.2.a.a	$463$	$2$	463.a	1.a	$1$	$16$	$16$	$3.697$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(-9\)	\(-6\)	\(-16\)	\(-10\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}-\beta _{6}q^{3}+(1-\beta _{1}-\beta _{12}+\cdots)q^{4}+\cdots\)
463.2.a.b	$463$	$2$	463.a	1.a	$1$	$22$	$22$	$3.697$		$_{}$	None	None	✓	$1$	$0$	\(8\)	\(4\)	\(14\)	\(2\)	$-$		$\mathrm{SU}(2)$
463.2.c.a	$463$	$2$	463.c	463.c	$3$	$76$	$38$	$3.697$		$_{}$	None	None		$2$	$0$	\(-2\)	\(2\)	\(2\)	\(-10\)			$\mathrm{SU}(2)[C_{3}]$
463.2.e.a	$463$	$2$	463.e	463.e	$7$	$222$	$37$	$3.697$		$_{}$	None	None		$2$	$0$	\(-3\)	\(-1\)	\(-6\)	\(9\)			$\mathrm{SU}(2)[C_{7}]$
463.2.f.a	$463$	$2$	463.f	463.f	$11$	$370$	$37$	$3.697$		$_{}$	None	None		$2$	$0$	\(-7\)	\(-5\)	\(-3\)	\(5\)			$\mathrm{SU}(2)[C_{11}]$
463.2.h.a	$463$	$2$	463.h	463.h	$21$	$456$	$38$	$3.697$		$_{}$	None	None		$2$	$0$	\(-12\)	\(-16\)	\(-9\)	\(-4\)			$\mathrm{SU}(2)[C_{21}]$
463.2.j.a	$463$	$2$	463.j	463.j	$33$	$760$	$38$	$3.697$		$_{}$	None	None		$2$	$0$	\(-20\)	\(-24\)	\(-24\)	\(-12\)			$\mathrm{SU}(2)[C_{33}]$
463.2.m.a	$463$	$2$	463.m	463.m	$77$	$2220$	$37$	$3.697$		$_{}$	None	None		$2$	$0$	\(-63\)	\(-65\)	\(-60\)	\(-75\)			$\mathrm{SU}(2)[C_{77}]$
463.2.o.a	$463$	$2$	463.o	463.o	$231$	$4560$	$38$	$3.697$		$_{}$	None	None		$2$	$0$	\(-120\)	\(-116\)	\(-123\)	\(-128\)			$\mathrm{SU}(2)[C_{231}]$
463.3.b.a	$463$	$3$	463.b	463.b	$2$	$7$	$7$	$12.616$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	$_{}$	\(\Q(\sqrt{-463}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{2}+(4+\beta _{4})q^{4}+(2\beta _{1}+4\beta _{2}+\cdots)q^{8}+\cdots\)
463.3.b.b	$463$	$3$	463.b	463.b	$2$	$70$	$70$	$12.616$		$_{}$	None	None		$2$	$0$	\(-4\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
463.4.a.a	$463$	$4$	463.a	1.a	$1$	$54$	$54$	$27.318$		$_{}$	None	None	✓	$1$	$1$	\(-20\)	\(-20\)	\(-86\)	\(-70\)	$-$		$\mathrm{SU}(2)$
463.4.a.b	$463$	$4$	463.a	1.a	$1$	$61$	$61$	$27.318$		$_{}$	None	None	✓	$1$	$0$	\(20\)	\(22\)	\(94\)	\(70\)	$+$		$\mathrm{SU}(2)$
463.6.a.a	$463$	$6$	463.a	1.a	$1$	$93$	$93$	$74.258$		$_{}$	None	None	✓	$1$	$1$	\(-40\)	\(-74\)	\(-458\)	\(-490\)	$+$		$\mathrm{SU}(2)$
463.6.a.b	$463$	$6$	463.a	1.a	$1$	$100$	$100$	$74.258$		$_{}$	None	None	✓	$1$	$0$	\(40\)	\(52\)	\(442\)	\(490\)	$-$		$\mathrm{SU}(2)$
463.8.a.a	$463$	$8$	463.a	1.a	$1$	$131$	$131$	$144.634$		$_{}$	None	None	✓	$1$	$1$	\(-88\)	\(-176\)	\(-2056\)	\(-3430\)	$-$		$\mathrm{SU}(2)$
463.8.a.b	$463$	$8$	463.a	1.a	$1$	$138$	$138$	$144.634$		$_{}$	None	None	✓	$1$	$0$	\(72\)	\(202\)	\(2444\)	\(3430\)	$+$		$\mathrm{SU}(2)$