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Results (1-50 of 62 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
618.2.a.a	$618$	$2$	618.a	1.a	$1$	$1$	$1$	$4.935$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-1\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-2q^{7}+\cdots\)
618.2.a.b	$618$	$2$	618.a	1.a	$1$	$1$	$1$	$4.935$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(2\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-2q^{7}+\cdots\)
618.2.a.c	$618$	$2$	618.a	1.a	$1$	$1$	$1$	$4.935$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(-3\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}+2q^{7}+\cdots\)
618.2.a.d	$618$	$2$	618.a	1.a	$1$	$1$	$1$	$4.935$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(1\)	\(0\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}-q^{6}-4q^{7}-q^{8}+\cdots\)
618.2.a.e	$618$	$2$	618.a	1.a	$1$	$1$	$1$	$4.935$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-1\)	\(-2\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}-2q^{7}+\cdots\)
618.2.a.f	$618$	$2$	618.a	1.a	$1$	$1$	$1$	$4.935$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(1\)	\(-4\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}-4q^{5}+q^{6}-4q^{7}+\cdots\)
618.2.a.g	$618$	$2$	618.a	1.a	$1$	$1$	$1$	$4.935$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(1\)	\(3\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}-2q^{7}+\cdots\)
618.2.a.h	$618$	$2$	618.a	1.a	$1$	$2$	$2$	$4.935$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(-2\)	\(-2\)	\(2\)	\(6\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}+q^{6}+\cdots\)
618.2.a.i	$618$	$2$	618.a	1.a	$1$	$2$	$2$	$4.935$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(4\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+(2+\beta )q^{5}-q^{6}+\cdots\)
618.2.a.j	$618$	$2$	618.a	1.a	$1$	$2$	$2$	$4.935$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(0\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+\beta q^{5}+q^{6}+(2+\beta )q^{7}+\cdots\)
618.2.a.k	$618$	$2$	618.a	1.a	$1$	$4$	$4$	$4.935$	4.4.54332.1	None	✓	$1$	$0$	\(4\)	\(-4\)	\(5\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(1+\beta _{1})q^{5}-q^{6}+\cdots\)
618.2.d.a	$618$	$2$	618.d	309.c	$2$	$36$	$36$	$4.935$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(16\)			$\mathrm{SU}(2)[C_{2}]$
618.2.e.a	$618$	$2$	618.e	103.c	$3$	$2$	$1$	$4.935$	\(\Q(\sqrt{-3}) \)	None		$2$	$1$	\(-1\)	\(-2\)	\(-4\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-\zeta_{6}q^{2}-q^{3}+(-1+\zeta_{6})q^{4}+(-4+\cdots)q^{5}+\cdots\)
618.2.e.b	$618$	$2$	618.e	103.c	$3$	$2$	$1$	$4.935$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(-1\)	\(2\)	\(0\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-\zeta_{6}q^{2}+q^{3}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{6}+\cdots\)
618.2.e.c	$618$	$2$	618.e	103.c	$3$	$6$	$3$	$4.935$	6.0.6040683.1	None		$2$	$0$	\(-3\)	\(6\)	\(1\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{4}q^{2}+q^{3}+(-1+\beta _{4})q^{4}-\beta _{5}q^{5}+\cdots\)
618.2.e.d	$618$	$2$	618.e	103.c	$3$	$8$	$4$	$4.935$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None		$2$	$0$	\(-4\)	\(-8\)	\(7\)	\(-1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{3}q^{2}-q^{3}+(-1+\beta _{3})q^{4}+(2+\beta _{1}+\cdots)q^{5}+\cdots\)
618.2.e.e	$618$	$2$	618.e	103.c	$3$	$8$	$4$	$4.935$	8.0.2091141441.1	None		$2$	$0$	\(4\)	\(-8\)	\(-3\)	\(-2\)		$3^{2}$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1+\beta _{3})q^{2}-q^{3}+\beta _{3}q^{4}+(\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
618.2.e.f	$618$	$2$	618.e	103.c	$3$	$10$	$5$	$4.935$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None		$2$	$0$	\(5\)	\(10\)	\(-1\)	\(3\)		$3$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{5}q^{2}+q^{3}+(-1-\beta _{5})q^{4}-\beta _{1}q^{5}+\cdots\)
618.2.f.a	$618$	$2$	618.f	309.g	$6$	$4$	$2$	$4.935$	\(\Q(\zeta_{12})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(2\)		$1$	$\mathrm{SU}(2)[C_{6}]$	\(q+\zeta_{12}q^{2}+(2\zeta_{12}-\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots\)
618.2.f.b	$618$	$2$	618.f	309.g	$6$	$64$	$32$	$4.935$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(4\)			$\mathrm{SU}(2)[C_{6}]$
618.2.i.a	$618$	$2$	618.i	103.e	$17$	$16$	$1$	$4.935$	\(\Q(\zeta_{34})\)	None		$2$	$0$	\(-1\)	\(-1\)	\(-11\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{17}]$	\(q+\zeta_{34}^{10}q^{2}-\zeta_{34}^{5}q^{3}-\zeta_{34}^{3}q^{4}+\cdots\)
618.2.i.b	$618$	$2$	618.i	103.e	$17$	$32$	$2$	$4.935$		None		$2$	$0$	\(-2\)	\(-2\)	\(1\)	\(6\)			$\mathrm{SU}(2)[C_{17}]$
618.2.i.c	$618$	$2$	618.i	103.e	$17$	$64$	$4$	$4.935$		None		$2$	$0$	\(4\)	\(-4\)	\(16\)	\(2\)			$\mathrm{SU}(2)[C_{17}]$
618.2.i.d	$618$	$2$	618.i	103.e	$17$	$64$	$4$	$4.935$		None		$2$	$0$	\(4\)	\(4\)	\(-20\)	\(-2\)			$\mathrm{SU}(2)[C_{17}]$
618.2.i.e	$618$	$2$	618.i	103.e	$17$	$80$	$5$	$4.935$		None		$2$	$0$	\(-5\)	\(5\)	\(14\)	\(-2\)			$\mathrm{SU}(2)[C_{17}]$
618.2.j.a	$618$	$2$	618.j	309.k	$34$	$576$	$36$	$4.935$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-16\)			$\mathrm{SU}(2)[C_{34}]$
618.2.m.a	$618$	$2$	618.m	103.g	$51$	$128$	$4$	$4.935$		None		$2$	$0$	\(-4\)	\(8\)	\(20\)	\(2\)			$\mathrm{SU}(2)[C_{51}]$
618.2.m.b	$618$	$2$	618.m	103.g	$51$	$128$	$4$	$4.935$		None		$2$	$0$	\(4\)	\(-8\)	\(16\)	\(-2\)			$\mathrm{SU}(2)[C_{51}]$
618.2.m.c	$618$	$2$	618.m	103.g	$51$	$160$	$5$	$4.935$		None		$2$	$0$	\(-5\)	\(-10\)	\(-16\)	\(-3\)			$\mathrm{SU}(2)[C_{51}]$
618.2.m.d	$618$	$2$	618.m	103.g	$51$	$160$	$5$	$4.935$		None		$2$	$0$	\(5\)	\(10\)	\(-20\)	\(5\)			$\mathrm{SU}(2)[C_{51}]$
618.2.p.a	$618$	$2$	618.p	309.o	$102$	$1088$	$34$	$4.935$		None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(-6\)			$\mathrm{SU}(2)[C_{102}]$
618.3.b.a	$618$	$3$	618.b	3.b	$2$	$68$	$68$	$16.839$		None		$2$	$0$	\(0\)	\(4\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
618.3.c.a	$618$	$3$	618.c	103.b	$2$	$36$	$36$	$16.839$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)			$\mathrm{SU}(2)[C_{2}]$
618.3.g.a	$618$	$3$	618.g	103.d	$6$	$32$	$16$	$16.839$		None		$2$	$0$	\(0\)	\(0\)	\(-6\)	\(8\)			$\mathrm{SU}(2)[C_{6}]$
618.3.g.b	$618$	$3$	618.g	103.d	$6$	$36$	$18$	$16.839$		None		$2$	$0$	\(0\)	\(0\)	\(6\)	\(-2\)			$\mathrm{SU}(2)[C_{6}]$
618.4.a.a	$618$	$4$	618.a	1.a	$1$	$1$	$1$	$36.463$	\(\Q\)	None	✓	$1$	$1$	\(2\)	\(3\)	\(-8\)	\(12\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}-8q^{5}+6q^{6}+\cdots\)
618.4.a.b	$618$	$4$	618.a	1.a	$1$	$4$	$4$	$36.463$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(-12\)	\(-31\)	\(-22\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(-8+\beta _{1})q^{5}+\cdots\)
618.4.a.c	$618$	$4$	618.a	1.a	$1$	$4$	$4$	$36.463$	\(\mathbb{Q}[x]/(x^{4} - \cdots)\)	None	✓	$1$	$0$	\(8\)	\(-12\)	\(52\)	\(41\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(13-\beta _{1})q^{5}+\cdots\)
618.4.a.d	$618$	$4$	618.a	1.a	$1$	$4$	$4$	$36.463$	4.4.1919948.1	None	✓	$1$	$1$	\(8\)	\(12\)	\(-26\)	\(-65\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}+(-6-\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
618.4.a.e	$618$	$4$	618.a	1.a	$1$	$5$	$5$	$36.463$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(10\)	\(-15\)	\(-14\)	\(-23\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}-3q^{3}+4q^{4}+(-3+\beta _{4})q^{5}+\cdots\)
618.4.a.f	$618$	$4$	618.a	1.a	$1$	$6$	$6$	$36.463$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(-12\)	\(-18\)	\(-9\)	\(-29\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(-2+\beta _{2}+\beta _{3}+\cdots)q^{5}+\cdots\)
618.4.a.g	$618$	$4$	618.a	1.a	$1$	$6$	$6$	$36.463$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(-12\)	\(-18\)	\(-4\)	\(41\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}-3q^{3}+4q^{4}+(-1+\beta _{1}-\beta _{5})q^{5}+\cdots\)
618.4.a.h	$618$	$4$	618.a	1.a	$1$	$6$	$6$	$36.463$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(-12\)	\(18\)	\(-19\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(-3-\beta _{4})q^{5}+\cdots\)
618.4.a.i	$618$	$4$	618.a	1.a	$1$	$6$	$6$	$36.463$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(-12\)	\(18\)	\(16\)	\(15\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}+(3+\beta _{3})q^{5}+\cdots\)
618.4.a.j	$618$	$4$	618.a	1.a	$1$	$8$	$8$	$36.463$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$0$	\(16\)	\(24\)	\(31\)	\(45\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+3q^{3}+4q^{4}+(4-\beta _{1})q^{5}+\cdots\)
618.5.c.a	$618$	$5$	618.c	103.b	$2$	$68$	$68$	$63.883$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
618.6.a.a	$618$	$6$	618.a	1.a	$1$	$9$	$9$	$99.117$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(36\)	\(-81\)	\(-64\)	\(-154\)	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+4q^{2}-9q^{3}+2^{4}q^{4}+(-7-\beta _{2}+\cdots)q^{5}+\cdots\)
618.6.a.b	$618$	$6$	618.a	1.a	$1$	$9$	$9$	$99.117$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(36\)	\(81\)	\(-114\)	\(-432\)	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+4q^{2}+9q^{3}+2^{4}q^{4}+(-13-\beta _{6}+\cdots)q^{5}+\cdots\)
618.6.a.c	$618$	$6$	618.a	1.a	$1$	$11$	$11$	$99.117$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(-44\)	\(-99\)	\(-3\)	\(-356\)	$+$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}-\beta _{1}q^{5}+6^{2}q^{6}+\cdots\)
618.6.a.d	$618$	$6$	618.a	1.a	$1$	$11$	$11$	$99.117$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(-44\)	\(-99\)	\(22\)	\(134\)	$-$	$2^{3}\cdot 3^{3}$	$\mathrm{SU}(2)$	\(q-4q^{2}-9q^{3}+2^{4}q^{4}+(2+\beta _{1})q^{5}+\cdots\)