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Results (1-50 of 53 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
109.2.a.a	$109$	$2$	109.a	1.a	$1$	$1$	$1$	$0.870$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(0\)	\(3\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+3q^{5}+2q^{7}-3q^{8}-3q^{9}+\cdots\)
109.2.a.b	$109$	$2$	109.a	1.a	$1$	$3$	$3$	$0.870$	\(\Q(\zeta_{14})^+\)	None	✓	$1$	$1$	\(-2\)	\(-4\)	\(-6\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{2})q^{2}+(-1+\beta _{2})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots\)
109.2.a.c	$109$	$2$	109.a	1.a	$1$	$4$	$4$	$0.870$	4.4.7537.1	None	✓	$1$	$0$	\(-1\)	\(4\)	\(1\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+(1+\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots\)
109.2.b.a	$109$	$2$	109.b	109.b	$2$	$2$	$2$	$0.870$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(0\)	\(4\)	\(-6\)	\(4\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-\zeta_{6}q^{2}+2q^{3}-q^{4}-3q^{5}-2\zeta_{6}q^{6}+\cdots\)
109.2.b.b	$109$	$2$	109.b	109.b	$2$	$6$	$6$	$0.870$	6.0.191244096.1	None		$2$	$0$	\(0\)	\(-4\)	\(8\)	\(-10\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(-1+\beta _{3})q^{3}+(-2-\beta _{3}+\cdots)q^{4}+\cdots\)
109.2.c.a	$109$	$2$	109.c	109.c	$3$	$14$	$7$	$0.870$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None		$2$	$0$	\(-4\)	\(1\)	\(5\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+\beta _{6}q^{2}+(-\beta _{2}-\beta _{13})q^{3}+(\beta _{4}-\beta _{6}+\cdots)q^{4}+\cdots\)
109.2.e.a	$109$	$2$	109.e	109.e	$6$	$2$	$1$	$0.870$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(0\)	\(1\)	\(-3\)	\(1\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+(-1+2\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-q^{4}+\cdots\)
109.2.e.b	$109$	$2$	109.e	109.e	$6$	$14$	$7$	$0.870$	\(\mathbb{Q}[x]/(x^{14} + \cdots)\)	None		$2$	$0$	\(0\)	\(-4\)	\(-2\)	\(-7\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q-\beta _{1}q^{2}+(\beta _{5}+\beta _{10}-\beta _{13})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots\)
109.2.f.a	$109$	$2$	109.f	109.f	$9$	$42$	$7$	$0.870$		None		$2$	$0$	\(0\)	\(-6\)	\(-6\)	\(3\)			$\mathrm{SU}(2)[C_{9}]$
109.2.h.a	$109$	$2$	109.h	109.h	$18$	$48$	$8$	$0.870$		None		$2$	$0$	\(-9\)	\(-6\)	\(-6\)	\(3\)			$\mathrm{SU}(2)[C_{18}]$
109.2.i.a	$109$	$2$	109.i	109.i	$27$	$144$	$8$	$0.870$		None		$2$	$0$	\(-18\)	\(-18\)	\(-18\)	\(-18\)			$\mathrm{SU}(2)[C_{27}]$
109.2.k.a	$109$	$2$	109.k	109.k	$54$	$162$	$9$	$0.870$		None		$2$	$0$	\(-18\)	\(-18\)	\(-18\)	\(-18\)			$\mathrm{SU}(2)[C_{54}]$
109.3.d.a	$109$	$3$	109.d	109.d	$4$	$36$	$18$	$2.970$		None		$2$	$0$	\(-2\)	\(-4\)	\(-12\)	\(16\)			$\mathrm{SU}(2)[C_{4}]$
109.3.g.a	$109$	$3$	109.g	109.g	$12$	$72$	$18$	$2.970$		None		$2$	$0$	\(2\)	\(-2\)	\(6\)	\(8\)			$\mathrm{SU}(2)[C_{12}]$
109.3.j.a	$109$	$3$	109.j	109.j	$36$	$216$	$18$	$2.970$		None		$2$	$0$	\(-18\)	\(-12\)	\(-12\)	\(-42\)			$\mathrm{SU}(2)[C_{36}]$
109.3.l.a	$109$	$3$	109.l	109.l	$108$	$612$	$17$	$2.970$		None		$2$	$0$	\(-36\)	\(-36\)	\(-36\)	\(-36\)			$\mathrm{SU}(2)[C_{108}]$
109.4.a.a	$109$	$4$	109.a	1.a	$1$	$12$	$12$	$6.431$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(-6\)	\(-19\)	\(-40\)	\(-32\)	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{2}+(-2-\beta _{8})q^{3}+(4+\cdots)q^{4}+\cdots\)
109.4.a.b	$109$	$4$	109.a	1.a	$1$	$15$	$15$	$6.431$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(4\)	\(17\)	\(40\)	\(24\)	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}+(1-\beta _{8})q^{3}+(5+\beta _{2})q^{4}+\cdots\)
109.4.b.a	$109$	$4$	109.b	109.b	$2$	$26$	$26$	$6.431$		None		$2$	$0$	\(0\)	\(-2\)	\(-26\)	\(-36\)			$\mathrm{SU}(2)[C_{2}]$
109.4.c.a	$109$	$4$	109.c	109.c	$3$	$54$	$27$	$6.431$		None		$2$	$0$	\(-10\)	\(-1\)	\(-3\)	\(-25\)			$\mathrm{SU}(2)[C_{3}]$
109.4.e.a	$109$	$4$	109.e	109.e	$6$	$52$	$26$	$6.431$		None		$2$	$0$	\(0\)	\(-1\)	\(23\)	\(3\)			$\mathrm{SU}(2)[C_{6}]$
109.4.f.a	$109$	$4$	109.f	109.f	$9$	$162$	$27$	$6.431$		None		$2$	$0$	\(3\)	\(-6\)	\(-6\)	\(24\)			$\mathrm{SU}(2)[C_{9}]$
109.4.h.a	$109$	$4$	109.h	109.h	$18$	$156$	$26$	$6.431$		None		$2$	$0$	\(-9\)	\(-6\)	\(-6\)	\(24\)			$\mathrm{SU}(2)[C_{18}]$
109.4.i.a	$109$	$4$	109.i	109.i	$27$	$486$	$27$	$6.431$		None		$2$	$0$	\(-18\)	\(-18\)	\(-18\)	\(-18\)			$\mathrm{SU}(2)[C_{27}]$
109.4.k.a	$109$	$4$	109.k	109.k	$54$	$468$	$26$	$6.431$		None		$2$	$0$	\(-18\)	\(-18\)	\(-18\)	\(-18\)			$\mathrm{SU}(2)[C_{54}]$
109.5.d.a	$109$	$5$	109.d	109.d	$4$	$70$	$35$	$11.267$		None		$2$	$0$	\(4\)	\(-4\)	\(-52\)	\(-104\)			$\mathrm{SU}(2)[C_{4}]$
109.5.g.a	$109$	$5$	109.g	109.g	$12$	$140$	$35$	$11.267$		None		$2$	$0$	\(-10\)	\(-2\)	\(46\)	\(-52\)			$\mathrm{SU}(2)[C_{12}]$
109.5.j.a	$109$	$5$	109.j	109.j	$36$	$420$	$35$	$11.267$		None		$2$	$0$	\(-12\)	\(-12\)	\(-12\)	\(138\)			$\mathrm{SU}(2)[C_{36}]$
109.5.l.a	$109$	$5$	109.l	109.l	$108$	$1296$	$36$	$11.267$		None		$2$	$0$	\(-36\)	\(-36\)	\(-36\)	\(-36\)			$\mathrm{SU}(2)[C_{108}]$
109.6.a.a	$109$	$6$	109.a	1.a	$1$	$21$	$21$	$17.482$		None	✓	$1$	$1$	\(-8\)	\(-64\)	\(-218\)	\(-293\)	$+$		$\mathrm{SU}(2)$
109.6.a.b	$109$	$6$	109.a	1.a	$1$	$24$	$24$	$17.482$		None	✓	$1$	$0$	\(12\)	\(44\)	\(182\)	\(99\)	$-$		$\mathrm{SU}(2)$
109.6.b.a	$109$	$6$	109.b	109.b	$2$	$46$	$46$	$17.482$		None		$2$	$0$	\(0\)	\(16\)	\(-50\)	\(2\)			$\mathrm{SU}(2)[C_{2}]$
109.6.c.a	$109$	$6$	109.c	109.c	$3$	$90$	$45$	$17.482$		None		$2$	$0$	\(2\)	\(17\)	\(33\)	\(50\)			$\mathrm{SU}(2)[C_{3}]$
109.6.e.a	$109$	$6$	109.e	109.e	$6$	$92$	$46$	$17.482$		None		$2$	$0$	\(0\)	\(-19\)	\(47\)	\(-146\)			$\mathrm{SU}(2)[C_{6}]$
109.6.f.a	$109$	$6$	109.f	109.f	$9$	$270$	$45$	$17.482$		None		$2$	$0$	\(-15\)	\(-6\)	\(-6\)	\(135\)			$\mathrm{SU}(2)[C_{9}]$
109.6.h.a	$109$	$6$	109.h	109.h	$18$	$276$	$46$	$17.482$		None		$2$	$0$	\(-9\)	\(-6\)	\(-6\)	\(135\)			$\mathrm{SU}(2)[C_{18}]$
109.6.i.a	$109$	$6$	109.i	109.i	$27$	$792$	$44$	$17.482$		None		$2$	$0$	\(-18\)	\(-18\)	\(-18\)	\(-18\)			$\mathrm{SU}(2)[C_{27}]$
109.6.k.a	$109$	$6$	109.k	109.k	$54$	$810$	$45$	$17.482$		None		$2$	$0$	\(-18\)	\(-18\)	\(-18\)	\(-18\)			$\mathrm{SU}(2)[C_{54}]$
109.8.a.a	$109$	$8$	109.a	1.a	$1$	$30$	$30$	$34.050$		None	✓	$1$	$1$	\(-24\)	\(-136\)	\(-1070\)	\(-501\)	$-$		$\mathrm{SU}(2)$
109.8.a.b	$109$	$8$	109.a	1.a	$1$	$33$	$33$	$34.050$		None	✓	$1$	$0$	\(16\)	\(188\)	\(930\)	\(2243\)	$+$		$\mathrm{SU}(2)$
109.8.b.a	$109$	$8$	109.b	109.b	$2$	$62$	$62$	$34.050$		None		$2$	$0$	\(0\)	\(-56\)	\(194\)	\(370\)			$\mathrm{SU}(2)[C_{2}]$
109.10.a.a	$109$	$10$	109.a	1.a	$1$	$39$	$39$	$56.139$		None	✓	$1$	$1$	\(-32\)	\(-487\)	\(-4488\)	\(-12576\)	$+$		$\mathrm{SU}(2)$
109.10.a.b	$109$	$10$	109.a	1.a	$1$	$42$	$42$	$56.139$		None	✓	$1$	$0$	\(48\)	\(485\)	\(5512\)	\(6632\)	$-$		$\mathrm{SU}(2)$
109.10.b.a	$109$	$10$	109.b	109.b	$2$	$82$	$82$	$56.139$		None		$2$	$0$	\(0\)	\(-2\)	\(1370\)	\(3660\)			$\mathrm{SU}(2)[C_{2}]$
109.12.a.a	$109$	$12$	109.a	1.a	$1$	$48$	$48$	$83.749$		None	✓	$1$	$1$	\(-96\)	\(-1468\)	\(-21490\)	\(-70657\)	$-$		$\mathrm{SU}(2)$
109.12.a.b	$109$	$12$	109.a	1.a	$1$	$51$	$51$	$83.749$		None	✓	$1$	$0$	\(64\)	\(1448\)	\(28510\)	\(63799\)	$+$		$\mathrm{SU}(2)$
109.12.b.a	$109$	$12$	109.b	109.b	$2$	$100$	$100$	$83.749$		None		$2$	$0$	\(0\)	\(-488\)	\(-3746\)	\(-107574\)			$\mathrm{SU}(2)[C_{2}]$
109.14.a.a	$109$	$14$	109.a	1.a	$1$	$57$	$57$	$116.882$		None	✓	$1$	$1$	\(-128\)	\(-5104\)	\(-161558\)	\(-386593\)	$+$		$\mathrm{SU}(2)$
109.14.a.b	$109$	$14$	109.a	1.a	$1$	$60$	$60$	$116.882$		None	✓	$1$	$0$	\(192\)	\(3644\)	\(88442\)	\(554599\)	$-$		$\mathrm{SU}(2)$
109.16.a.a	$109$	$16$	109.a	1.a	$1$	$66$	$66$	$155.536$		None	✓	$1$	$1$	\(-384\)	\(-9775\)	\(-550760\)	\(-3953576\)	$-$		$\mathrm{SU}(2)$