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Results (23 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
349.2.a.a	$349$	$2$	349.a	1.a	$1$	$11$	$11$	$2.787$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(-5\)	\(-6\)	\(-9\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(-1+\beta _{2}+\beta _{4}+\beta _{6}+\beta _{7}+\cdots)q^{3}+\cdots\)
349.2.a.b	$349$	$2$	349.a	1.a	$1$	$17$	$17$	$2.787$	\(\mathbb{Q}[x]/(x^{17} - \cdots)\)	None	✓	$1$	$0$	\(5\)	\(6\)	\(5\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+\beta _{12}q^{3}+(1+\beta _{2})q^{4}+\beta _{7}q^{5}+\cdots\)
349.2.b.a	$349$	$2$	349.b	349.b	$2$	$2$	$2$	$2.787$	\(\Q(\sqrt{-5}) \)	None		$2$	$0$	\(0\)	\(-2\)	\(4\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-q^{3}+2q^{4}+2q^{5}+\beta q^{7}-2q^{9}+\cdots\)
349.2.b.b	$349$	$2$	349.b	349.b	$2$	$26$	$26$	$2.787$		None		$2$	$0$	\(0\)	\(-2\)	\(-12\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
349.2.c.a	$349$	$2$	349.c	349.c	$3$	$56$	$28$	$2.787$		None		$2$	$0$	\(0\)	\(0\)	\(4\)	\(2\)			$\mathrm{SU}(2)[C_{3}]$
349.2.e.a	$349$	$2$	349.e	349.e	$6$	$58$	$29$	$2.787$		None		$2$	$0$	\(-3\)	\(0\)	\(2\)	\(0\)			$\mathrm{SU}(2)[C_{6}]$
349.2.g.a	$349$	$2$	349.g	349.g	$29$	$756$	$27$	$2.787$		None		$2$	$0$	\(-26\)	\(-25\)	\(-19\)	\(-19\)			$\mathrm{SU}(2)[C_{29}]$
349.2.h.a	$349$	$2$	349.h	349.h	$58$	$784$	$28$	$2.787$		None		$2$	$0$	\(-29\)	\(-25\)	\(-21\)	\(-29\)			$\mathrm{SU}(2)[C_{58}]$
349.2.i.a	$349$	$2$	349.i	349.i	$87$	$1568$	$28$	$2.787$		None		$2$	$0$	\(-58\)	\(-58\)	\(-62\)	\(-60\)			$\mathrm{SU}(2)[C_{87}]$
349.2.k.a	$349$	$2$	349.k	349.k	$174$	$1624$	$29$	$2.787$		None		$2$	$0$	\(-55\)	\(-58\)	\(-60\)	\(-58\)			$\mathrm{SU}(2)[C_{174}]$
349.3.d.a	$349$	$3$	349.d	349.d	$4$	$116$	$58$	$9.510$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-18\)			$\mathrm{SU}(2)[C_{4}]$
349.3.f.a	$349$	$3$	349.f	349.f	$12$	$228$	$57$	$9.510$		None		$2$	$0$	\(-6\)	\(-12\)	\(0\)	\(22\)			$\mathrm{SU}(2)[C_{12}]$
349.3.j.a	$349$	$3$	349.j	349.j	$116$	$3248$	$58$	$9.510$		None		$2$	$0$	\(-58\)	\(-58\)	\(-58\)	\(-40\)			$\mathrm{SU}(2)[C_{116}]$
349.3.l.a	$349$	$3$	349.l	349.l	$348$	$6384$	$57$	$9.510$		None		$2$	$0$	\(-110\)	\(-104\)	\(-116\)	\(-138\)			$\mathrm{SU}(2)[C_{348}]$
349.4.a.a	$349$	$4$	349.a	1.a	$1$	$40$	$40$	$20.592$		None	✓	$1$	$1$	\(-15\)	\(-25\)	\(-46\)	\(-55\)	$-$		$\mathrm{SU}(2)$
349.4.a.b	$349$	$4$	349.a	1.a	$1$	$47$	$47$	$20.592$		None	✓	$1$	$0$	\(11\)	\(23\)	\(54\)	\(29\)	$+$		$\mathrm{SU}(2)$
349.4.b.a	$349$	$4$	349.b	349.b	$2$	$86$	$86$	$20.592$		None		$2$	$0$	\(0\)	\(-2\)	\(30\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
349.6.a.a	$349$	$6$	349.a	1.a	$1$	$69$	$69$	$55.974$		None	✓	$1$	$1$	\(-25\)	\(-82\)	\(-279\)	\(-283\)	$+$		$\mathrm{SU}(2)$
349.6.a.b	$349$	$6$	349.a	1.a	$1$	$76$	$76$	$55.974$		None	✓	$1$	$0$	\(27\)	\(62\)	\(221\)	\(305\)	$-$		$\mathrm{SU}(2)$
349.8.a.a	$349$	$8$	349.a	1.a	$1$	$98$	$98$	$109.022$		None	✓	$1$	$1$	\(-49\)	\(-190\)	\(-1321\)	\(-1727\)	$-$		$\mathrm{SU}(2)$
349.8.a.b	$349$	$8$	349.a	1.a	$1$	$105$	$105$	$109.022$		None	✓	$1$	$0$	\(55\)	\(242\)	\(1179\)	\(2389\)	$+$		$\mathrm{SU}(2)$
349.10.a.a	$349$	$10$	349.a	1.a	$1$	$127$	$127$	$179.748$		None	✓	$1$	$1$	\(-113\)	\(-649\)	\(-5454\)	\(-16883\)	$+$		$\mathrm{SU}(2)$
349.10.a.b	$349$	$10$	349.a	1.a	$1$	$134$	$134$	$179.748$		None	✓	$1$	$0$	\(95\)	\(647\)	\(7046\)	\(11929\)	$-$		$\mathrm{SU}(2)$