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Results (10 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
787.1.b.a	$787$	$1$	787.b	787.b	$2$	$2$	$2$	$0.393$	\(\Q(\sqrt{5}) \)	$D_{5}$	\(\Q(\sqrt{-787}) \)	None	✓	✓	✓	✓	787.1.b.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+q^{4}+(-1+\beta )q^{7}+q^{9}-\beta q^{11}+\cdots\)
787.2.a.a	$787$	$2$	787.a	1.a	$1$	$28$	$28$	$6.284$		$_{}$	None	None	✓	✓	✓	✓	787.2.a.a	$1$	$1$	\(-12\)	\(-8\)	\(-29\)	\(-9\)	$+$		$\mathrm{SU}(2)$
787.2.a.b	$787$	$2$	787.a	1.a	$1$	$37$	$37$	$6.284$		$_{}$	None	None	✓	✓	✓	✓	787.2.a.b	$1$	$0$	\(12\)	\(6\)	\(31\)	\(9\)	$-$		$\mathrm{SU}(2)$
787.2.c.a	$787$	$2$	787.c	787.c	$3$	$130$	$65$	$6.284$		$_{}$	None	None		✓	✓	✓	787.2.c.a	$2$	$0$	\(0\)	\(-4\)	\(1\)	\(0\)			$\mathrm{SU}(2)[C_{3}]$
787.2.e.a	$787$	$2$	787.e	787.e	$131$	$8320$	$64$	$6.284$		$_{}$	None	None		✓	✓	✓	787.2.e.a	$2$	$0$	\(-128\)	\(-125\)	\(-127\)	\(-123\)			$\mathrm{SU}(2)[C_{131}]$
787.2.g.a	$787$	$2$	787.g	787.g	$393$	$16900$	$65$	$6.284$		$_{}$	None	None		✓	✓	✓	787.2.g.a	$2$	$0$	\(-262\)	\(-258\)	\(-263\)	\(-262\)			$\mathrm{SU}(2)[C_{393}]$
787.4.a.a	$787$	$4$	787.a	1.a	$1$	$93$	$93$	$46.435$		$_{}$	None	None	✓	✓	✓	✓	787.4.a.a	$1$	$1$	\(-27\)	\(-29\)	\(-161\)	\(-102\)	$-$		$\mathrm{SU}(2)$
787.4.a.b	$787$	$4$	787.a	1.a	$1$	$103$	$103$	$46.435$		$_{}$	None	None	✓	✓	✓	✓	787.4.a.b	$1$	$0$	\(27\)	\(25\)	\(169\)	\(80\)	$+$		$\mathrm{SU}(2)$
787.6.a.a	$787$	$6$	787.a	1.a	$1$	$159$	$159$	$126.222$		$_{}$	None	None	✓	✓	✓	✓	787.6.a.a	$1$	$1$	\(-57\)	\(-80\)	\(-851\)	\(-685\)	$+$		$\mathrm{SU}(2)$
787.6.a.b	$787$	$6$	787.a	1.a	$1$	$169$	$169$	$126.222$		$_{}$	None	None	✓	✓	✓	✓	787.6.a.b	$1$	$0$	\(51\)	\(82\)	\(799\)	\(589\)	$-$		$\mathrm{SU}(2)$

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