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Results (14 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
859.1.b.a	$859$	$1$	859.b	859.b	$2$	$3$	$3$	$0.429$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-859}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-1\)	\(-1\)		$1$		\(q+q^{4}-\beta _{1}q^{5}+(-1+\beta _{1}-\beta _{2})q^{7}+\cdots\)
859.2.a.a	$859$	$2$	859.a	1.a	$1$	$29$	$29$	$6.859$		$_{}$	None	None	✓	$1$	$1$	\(-10\)	\(-5\)	\(-21\)	\(-4\)	$+$		$\mathrm{SU}(2)$
859.2.a.b	$859$	$2$	859.a	1.a	$1$	$42$	$42$	$6.859$		$_{}$	None	None	✓	$1$	$0$	\(10\)	\(1\)	\(21\)	\(2\)	$-$		$\mathrm{SU}(2)$
859.2.c.a	$859$	$2$	859.c	859.c	$3$	$142$	$71$	$6.859$		$_{}$	None	None		$2$	$0$	\(0\)	\(-2\)	\(-3\)	\(-4\)			$\mathrm{SU}(2)[C_{3}]$
859.2.e.a	$859$	$2$	859.e	859.e	$11$	$700$	$70$	$6.859$		$_{}$	None	None		$2$	$0$	\(-8\)	\(-3\)	\(-16\)	\(-1\)			$\mathrm{SU}(2)[C_{11}]$
859.2.f.a	$859$	$2$	859.f	859.f	$13$	$840$	$70$	$6.859$		$_{}$	None	None		$2$	$0$	\(-10\)	\(-5\)	\(-20\)	\(-3\)			$\mathrm{SU}(2)[C_{13}]$
859.2.i.a	$859$	$2$	859.i	859.i	$33$	$1420$	$71$	$6.859$		$_{}$	None	None		$2$	$0$	\(-22\)	\(-20\)	\(-8\)	\(-18\)			$\mathrm{SU}(2)[C_{33}]$
859.2.j.a	$859$	$2$	859.j	859.j	$39$	$1704$	$71$	$6.859$		$_{}$	None	None		$2$	$0$	\(-26\)	\(-24\)	\(-49\)	\(-22\)			$\mathrm{SU}(2)[C_{39}]$
859.2.m.a	$859$	$2$	859.m	859.m	$143$	$8400$	$70$	$6.859$		$_{}$	None	None		$2$	$0$	\(-122\)	\(-127\)	\(-101\)	\(-129\)			$\mathrm{SU}(2)[C_{143}]$
859.2.o.a	$859$	$2$	859.o	859.o	$429$	$17040$	$71$	$6.859$		$_{}$	None	None		$2$	$0$	\(-238\)	\(-240\)	\(-226\)	\(-242\)			$\mathrm{SU}(2)[C_{429}]$
859.4.a.a	$859$	$4$	859.a	1.a	$1$	$100$	$100$	$50.683$		$_{}$	None	None	✓	$1$	$1$	\(-23\)	\(-15\)	\(-121\)	\(-62\)	$-$		$\mathrm{SU}(2)$
859.4.a.b	$859$	$4$	859.a	1.a	$1$	$114$	$114$	$50.683$		$_{}$	None	None	✓	$1$	$0$	\(23\)	\(15\)	\(119\)	\(36\)	$+$		$\mathrm{SU}(2)$
859.6.a.a	$859$	$6$	859.a	1.a	$1$	$172$	$172$	$137.770$		$_{}$	None	None	✓	$1$	$1$	\(-49\)	\(-45\)	\(-583\)	\(-332\)	$+$		$\mathrm{SU}(2)$
859.6.a.b	$859$	$6$	859.a	1.a	$1$	$186$	$186$	$137.770$		$_{}$	None	None	✓	$1$	$0$	\(43\)	\(45\)	\(617\)	\(354\)	$-$		$\mathrm{SU}(2)$