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Results (28 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
																$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
2144.1.h.a	$2144$	$1$	2144.h	536.h	$2$	$3$	$3$	$1.070$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-134}) \)	None	✓	$2$	$0$	\(0\)	\(-1\)	\(1\)	\(0\)		$1$		\(q+\beta _{2}q^{3}+\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{9}+(-1+\cdots)q^{11}+\cdots\)
2144.1.h.b	$2144$	$1$	2144.h	536.h	$2$	$3$	$3$	$1.070$	\(\Q(\zeta_{14})^+\)	$D_{7}$	\(\Q(\sqrt{-134}) \)	None	✓	$2$	$0$	\(0\)	\(1\)	\(-1\)	\(0\)		$1$		\(q-\beta _{2}q^{3}-\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{9}+(1+\cdots)q^{11}+\cdots\)
2144.1.q.a	$2144$	$1$	2144.q	268.g	$6$	$4$	$2$	$1.070$	\(\Q(\zeta_{12})\)	$A_{4}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\zeta_{12}q^{7}+q^{9}-\zeta_{12}q^{11}-\zeta_{12}^{2}q^{13}+\cdots\)
2144.1.s.a	$2144$	$1$	2144.s	536.o	$6$	$2$	$1$	$1.070$	\(\Q(\sqrt{-3}) \)	$D_{3}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$1$		\(q+q^{3}+\zeta_{6}q^{11}-\zeta_{6}^{2}q^{17}+\zeta_{6}^{2}q^{19}+\cdots\)
2144.1.bf.a	$2144$	$1$	2144.bf	536.t	$22$	$10$	$1$	$1.070$	\(\Q(\zeta_{22})\)	$D_{11}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(0\)		$1$		\(q+(-\zeta_{22}^{8}-\zeta_{22}^{10})q^{3}+(-\zeta_{22}^{5}+\cdots)q^{9}+\cdots\)
2144.1.bu.a	$2144$	$1$	2144.bu	536.aa	$66$	$20$	$1$	$1.070$	\(\Q(\zeta_{33})\)	$D_{33}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(-2\)	\(0\)	\(0\)		$1$		\(q+(-\zeta_{66}^{8}+\zeta_{66}^{13})q^{3}+(\zeta_{66}^{16}-\zeta_{66}^{21}+\cdots)q^{9}+\cdots\)
2144.2.a.a	$2144$	$2$	2144.a	1.a	$1$	$1$	$1$	$17.120$	\(\Q\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-2\)	\(0\)	\(4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{3}+4q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
2144.2.a.b	$2144$	$2$	2144.a	1.a	$1$	$1$	$1$	$17.120$	\(\Q\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(2\)	\(0\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{3}-4q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
2144.2.a.c	$2144$	$2$	2144.a	1.a	$1$	$5$	$5$	$17.120$	5.5.246832.1	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-2\)	\(-2\)	\(4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{2}q^{5}+(1-\beta _{3})q^{7}+(-1+\cdots)q^{9}+\cdots\)
2144.2.a.d	$2144$	$2$	2144.a	1.a	$1$	$5$	$5$	$17.120$	5.5.246832.1	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{2}q^{5}+(-1+\beta _{3})q^{7}+(-1+\cdots)q^{9}+\cdots\)
2144.2.a.e	$2144$	$2$	2144.a	1.a	$1$	$7$	$7$	$17.120$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-5\)	\(1\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta _{1})q^{3}+(-\beta _{1}-\beta _{2}+\beta _{5}+\cdots)q^{5}+\cdots\)
2144.2.a.f	$2144$	$2$	2144.a	1.a	$1$	$7$	$7$	$17.120$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(5\)	\(1\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{3}+(-\beta _{1}-\beta _{2}+\beta _{5})q^{5}+\cdots\)
2144.2.a.g	$2144$	$2$	2144.a	1.a	$1$	$8$	$8$	$17.120$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-1\)	\(-8\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}+\beta _{6}q^{5}+(-1-\beta _{4})q^{7}+\beta _{2}q^{9}+\cdots\)
2144.2.a.h	$2144$	$2$	2144.a	1.a	$1$	$8$	$8$	$17.120$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(1\)	\(-1\)	\(8\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}+\beta _{6}q^{5}+(1+\beta _{4})q^{7}+\beta _{2}q^{9}+\cdots\)
2144.2.a.i	$2144$	$2$	2144.a	1.a	$1$	$12$	$12$	$17.120$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-4\)	\(4\)	\(4\)	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{3}-\beta _{7}q^{5}+\beta _{10}q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
2144.2.a.j	$2144$	$2$	2144.a	1.a	$1$	$12$	$12$	$17.120$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None	✓	$1$	$0$	\(0\)	\(4\)	\(4\)	\(-4\)	$-$	$2^{3}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{3}-\beta _{7}q^{5}-\beta _{10}q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
2144.2.c.a	$2144$	$2$	2144.c	8.b	$2$	$66$	$66$	$17.120$		$_{}$	None	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
2144.2.e.a	$2144$	$2$	2144.e	536.e	$2$	$2$	$2$	$17.120$	\(\Q(\sqrt{-2}) \)	$_{}$	\(\Q(\sqrt{-2}) \)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+2\beta q^{3}-5q^{9}+2\beta q^{11}-6q^{17}+\cdots\)
2144.2.e.b	$2144$	$2$	2144.e	536.e	$2$	$64$	$64$	$17.120$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
2144.2.g.a	$2144$	$2$	2144.g	268.d	$2$	$68$	$68$	$17.120$		$_{}$	None	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
2144.4.a.a	$2144$	$4$	2144.a	1.a	$1$	$21$	$21$	$126.500$		$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-12\)	\(-10\)	\(12\)	$-$		$\mathrm{SU}(2)$
2144.4.a.b	$2144$	$4$	2144.a	1.a	$1$	$21$	$21$	$126.500$		$_{}$	None	None	✓	$1$	$1$	\(0\)	\(12\)	\(-10\)	\(-12\)	$-$		$\mathrm{SU}(2)$
2144.4.a.c	$2144$	$4$	2144.a	1.a	$1$	$25$	$25$	$126.500$		$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-21\)	\(5\)	\(0\)	$-$		$\mathrm{SU}(2)$
2144.4.a.d	$2144$	$4$	2144.a	1.a	$1$	$25$	$25$	$126.500$		$_{}$	None	None	✓	$1$	$1$	\(0\)	\(-3\)	\(-17\)	\(-56\)	$-$		$\mathrm{SU}(2)$
2144.4.a.e	$2144$	$4$	2144.a	1.a	$1$	$25$	$25$	$126.500$		$_{}$	None	None	✓	$1$	$0$	\(0\)	\(3\)	\(-17\)	\(56\)	$+$		$\mathrm{SU}(2)$
2144.4.a.f	$2144$	$4$	2144.a	1.a	$1$	$25$	$25$	$126.500$		$_{}$	None	None	✓	$1$	$0$	\(0\)	\(21\)	\(5\)	\(0\)	$+$		$\mathrm{SU}(2)$
2144.4.a.g	$2144$	$4$	2144.a	1.a	$1$	$28$	$28$	$126.500$		$_{}$	None	None	✓	$1$	$0$	\(0\)	\(-6\)	\(20\)	\(44\)	$+$		$\mathrm{SU}(2)$
2144.4.a.h	$2144$	$4$	2144.a	1.a	$1$	$28$	$28$	$126.500$		$_{}$	None	None	✓	$1$	$0$	\(0\)	\(6\)	\(20\)	\(-44\)	$+$		$\mathrm{SU}(2)$