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Results (11 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
1603.1.b.a	$1603$	$1$	1603.b	1603.b	$2$	$1$	$1$	$0.800$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1603}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1\)		$1$		\(q+q^{4}-q^{7}+q^{9}-q^{11}+q^{13}+q^{16}+\cdots\)
1603.1.b.b	$1603$	$1$	1603.b	1603.b	$2$	$1$	$1$	$0.800$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-1603}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(0\)	\(1\)		$1$		\(q+q^{4}+q^{7}+q^{9}-q^{11}-q^{13}+q^{16}+\cdots\)
1603.2.a.a	$1603$	$2$	1603.a	1.a	$1$	$3$	$3$	$12.800$	3.3.169.1	$_{}$	None	None	✓	$1$	$1$	\(-1\)	\(3\)	\(0\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
1603.2.a.b	$1603$	$2$	1603.a	1.a	$1$	$23$	$23$	$12.800$		$_{}$	None	None	✓	$1$	$1$	\(-7\)	\(-5\)	\(-15\)	\(-23\)	$+$		$\mathrm{SU}(2)$
1603.2.a.c	$1603$	$2$	1603.a	1.a	$1$	$26$	$26$	$12.800$		$_{}$	None	None	✓	$1$	$1$	\(-6\)	\(-14\)	\(-25\)	\(26\)	$+$		$\mathrm{SU}(2)$
1603.2.a.d	$1603$	$2$	1603.a	1.a	$1$	$31$	$31$	$12.800$		$_{}$	None	None	✓	$1$	$0$	\(6\)	\(12\)	\(27\)	\(31\)	$-$		$\mathrm{SU}(2)$
1603.2.a.e	$1603$	$2$	1603.a	1.a	$1$	$32$	$32$	$12.800$		$_{}$	None	None	✓	$1$	$0$	\(7\)	\(4\)	\(19\)	\(-32\)	$-$		$\mathrm{SU}(2)$
1603.4.a.a	$1603$	$4$	1603.a	1.a	$1$	$82$	$82$	$94.580$		$_{}$	None	None	✓	$1$	$1$	\(-11\)	\(-9\)	\(-95\)	\(-574\)	$-$		$\mathrm{SU}(2)$
1603.4.a.b	$1603$	$4$	1603.a	1.a	$1$	$83$	$83$	$94.580$		$_{}$	None	None	✓	$1$	$1$	\(-16\)	\(-47\)	\(-135\)	\(581\)	$-$		$\mathrm{SU}(2)$
1603.4.a.c	$1603$	$4$	1603.a	1.a	$1$	$88$	$88$	$94.580$		$_{}$	None	None	✓	$1$	$0$	\(19\)	\(9\)	\(75\)	\(-616\)	$+$		$\mathrm{SU}(2)$
1603.4.a.d	$1603$	$4$	1603.a	1.a	$1$	$89$	$89$	$94.580$		$_{}$	None	None	✓	$1$	$0$	\(14\)	\(43\)	\(155\)	\(623\)	$+$		$\mathrm{SU}(2)$