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Results (1-50 of 64 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
158.2.a.a	$158$	$2$	158.a	1.a	$1$	$1$	$1$	$1.262$	\(\Q\)	None	✓	$1$	$1$	\(-1\)	\(-1\)	\(-1\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-3q^{7}+\cdots\)
158.2.a.b	$158$	$2$	158.a	1.a	$1$	$1$	$1$	$1.262$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(3\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}-q^{7}+\cdots\)
158.2.a.c	$158$	$2$	158.a	1.a	$1$	$1$	$1$	$1.262$	\(\Q\)	None	✓	$1$	$1$	\(1\)	\(-3\)	\(-3\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-3q^{3}+q^{4}-3q^{5}-3q^{6}-3q^{7}+\cdots\)
158.2.a.d	$158$	$2$	158.a	1.a	$1$	$1$	$1$	$1.262$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(-1\)	\(1\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+3q^{7}+\cdots\)
158.2.a.e	$158$	$2$	158.a	1.a	$1$	$1$	$1$	$1.262$	\(\Q\)	None	✓	$1$	$0$	\(1\)	\(2\)	\(-2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+2q^{3}+q^{4}-2q^{5}+2q^{6}+q^{8}+\cdots\)
158.2.a.f	$158$	$2$	158.a	1.a	$1$	$2$	$2$	$1.262$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(-2\)	\(0\)	\(-4\)	\(8\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}-2q^{5}-\beta q^{6}+4q^{7}+\cdots\)
158.2.c.a	$158$	$2$	158.c	79.c	$3$	$2$	$1$	$1.262$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(-1\)	\(0\)	\(0\)	\(3\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+3\zeta_{6}q^{7}+\cdots\)
158.2.c.b	$158$	$2$	158.c	79.c	$3$	$2$	$1$	$1.262$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(1\)	\(0\)	\(-4\)	\(-1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}-4\zeta_{6}q^{5}-\zeta_{6}q^{7}+\cdots\)
158.2.c.c	$158$	$2$	158.c	79.c	$3$	$4$	$2$	$1.262$	\(\Q(\sqrt{-3}, \sqrt{-7})\)	None		$2$	$0$	\(-2\)	\(-1\)	\(1\)	\(-3\)		$3$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1-\beta _{1})q^{2}-\beta _{3}q^{3}+\beta _{1}q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots\)
158.2.c.d	$158$	$2$	158.c	79.c	$3$	$4$	$2$	$1.262$	\(\Q(\sqrt{-3}, \sqrt{13})\)	None		$2$	$0$	\(2\)	\(1\)	\(3\)	\(5\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1+\beta _{2})q^{2}+\beta _{1}q^{3}+\beta _{2}q^{4}+(-1+\cdots)q^{5}+\cdots\)
158.2.e.a	$158$	$2$	158.e	79.e	$13$	$48$	$4$	$1.262$		None		$2$	$0$	\(-4\)	\(-2\)	\(11\)	\(-8\)			$\mathrm{SU}(2)[C_{13}]$
158.2.e.b	$158$	$2$	158.e	79.e	$13$	$48$	$4$	$1.262$		None		$2$	$0$	\(4\)	\(0\)	\(-11\)	\(-4\)			$\mathrm{SU}(2)[C_{13}]$
158.2.g.a	$158$	$2$	158.g	79.g	$39$	$72$	$3$	$1.262$		None		$2$	$0$	\(-3\)	\(-1\)	\(14\)	\(-4\)			$\mathrm{SU}(2)[C_{39}]$
158.2.g.b	$158$	$2$	158.g	79.g	$39$	$72$	$3$	$1.262$		None		$2$	$0$	\(3\)	\(1\)	\(-14\)	\(0\)			$\mathrm{SU}(2)[C_{39}]$
158.3.b.a	$158$	$3$	158.b	79.b	$2$	$12$	$12$	$4.305$	\(\mathbb{Q}[x]/(x^{12} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{2}+\beta _{1}q^{3}+2q^{4}+(\beta _{2}+\beta _{10}+\cdots)q^{5}+\cdots\)
158.3.d.a	$158$	$3$	158.d	79.d	$6$	$28$	$14$	$4.305$		None		$2$	$0$	\(0\)	\(-6\)	\(0\)	\(-6\)			$\mathrm{SU}(2)[C_{6}]$
158.3.f.a	$158$	$3$	158.f	79.f	$26$	$144$	$12$	$4.305$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{26}]$
158.3.h.a	$158$	$3$	158.h	79.h	$78$	$336$	$14$	$4.305$		None		$2$	$0$	\(0\)	\(6\)	\(0\)	\(6\)			$\mathrm{SU}(2)[C_{78}]$
158.4.a.a	$158$	$4$	158.a	1.a	$1$	$1$	$1$	$9.322$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(3\)	\(-9\)	\(9\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+3q^{3}+4q^{4}-9q^{5}-6q^{6}+\cdots\)
158.4.a.b	$158$	$4$	158.a	1.a	$1$	$3$	$3$	$9.322$	3.3.229.1	None	✓	$1$	$1$	\(-6\)	\(-3\)	\(6\)	\(-39\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+(-2+3\beta _{1}-3\beta _{2})q^{3}+4q^{4}+\cdots\)
158.4.a.c	$158$	$4$	158.a	1.a	$1$	$4$	$4$	$9.322$	\(\Q(\sqrt{5}, \sqrt{13})\)	None	✓	$1$	$1$	\(8\)	\(-12\)	\(-17\)	\(-58\)	$-$	$2\cdot 3$	$\mathrm{SU}(2)$	\(q+2q^{2}+(-3-\beta _{2}-\beta _{3})q^{3}+4q^{4}+\cdots\)
158.4.a.d	$158$	$4$	158.a	1.a	$1$	$6$	$6$	$9.322$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(-12\)	\(6\)	\(-3\)	\(40\)	$+$	$2^{2}\cdot 3^{3}$	$\mathrm{SU}(2)$	\(q-2q^{2}+(1-\beta _{1})q^{3}+4q^{4}+(-1+\beta _{2}+\cdots)q^{5}+\cdots\)
158.4.a.e	$158$	$4$	158.a	1.a	$1$	$6$	$6$	$9.322$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$0$	\(12\)	\(12\)	\(23\)	\(40\)	$+$	$2$	$\mathrm{SU}(2)$	\(q+2q^{2}+(2-\beta _{1})q^{3}+4q^{4}+(4-\beta _{2}+\cdots)q^{5}+\cdots\)
158.4.c.a	$158$	$4$	158.c	79.c	$3$	$20$	$10$	$9.322$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None		$2$	$0$	\(-20\)	\(6\)	\(3\)	\(3\)		$3^{3}$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-2+2\beta _{2})q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+\cdots\)
158.4.c.b	$158$	$4$	158.c	79.c	$3$	$20$	$10$	$9.322$	\(\mathbb{Q}[x]/(x^{20} + \cdots)\)	None		$2$	$0$	\(20\)	\(0\)	\(-3\)	\(-25\)		$3^{3}$	$\mathrm{SU}(2)[C_{3}]$	\(q-2\beta _{2}q^{2}-\beta _{1}q^{3}+(-4-4\beta _{2})q^{4}+\cdots\)
158.4.e.a	$158$	$4$	158.e	79.e	$13$	$120$	$10$	$9.322$		None		$2$	$0$	\(-20\)	\(0\)	\(33\)	\(18\)			$\mathrm{SU}(2)[C_{13}]$
158.4.e.b	$158$	$4$	158.e	79.e	$13$	$120$	$10$	$9.322$		None		$2$	$0$	\(20\)	\(-6\)	\(-33\)	\(-10\)			$\mathrm{SU}(2)[C_{13}]$
158.4.g.a	$158$	$4$	158.g	79.g	$39$	$240$	$10$	$9.322$		None		$2$	$0$	\(-20\)	\(0\)	\(42\)	\(25\)			$\mathrm{SU}(2)[C_{39}]$
158.4.g.b	$158$	$4$	158.g	79.g	$39$	$240$	$10$	$9.322$		None		$2$	$0$	\(20\)	\(-6\)	\(-42\)	\(-3\)			$\mathrm{SU}(2)[C_{39}]$
158.5.b.a	$158$	$5$	158.b	79.b	$2$	$28$	$28$	$16.332$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
158.5.d.a	$158$	$5$	158.d	79.d	$6$	$52$	$26$	$16.332$		None		$2$	$0$	\(0\)	\(-18\)	\(0\)	\(-126\)			$\mathrm{SU}(2)[C_{6}]$
158.5.f.a	$158$	$5$	158.f	79.f	$26$	$336$	$28$	$16.332$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{26}]$
158.5.h.a	$158$	$5$	158.h	79.h	$78$	$624$	$26$	$16.332$		None		$2$	$0$	\(0\)	\(18\)	\(0\)	\(126\)			$\mathrm{SU}(2)[C_{78}]$
158.6.a.a	$158$	$6$	158.a	1.a	$1$	$1$	$1$	$25.341$	\(\Q\)	None	✓	$1$	$1$	\(4\)	\(9\)	\(-37\)	\(-41\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+9q^{3}+2^{4}q^{4}-37q^{5}+6^{2}q^{6}+\cdots\)
158.6.a.b	$158$	$6$	158.a	1.a	$1$	$6$	$6$	$25.341$	\(\mathbb{Q}[x]/(x^{6} - \cdots)\)	None	✓	$1$	$1$	\(24\)	\(-36\)	\(-94\)	\(-194\)	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+4q^{2}+(-6+\beta _{2})q^{3}+2^{4}q^{4}+(-2^{4}+\cdots)q^{5}+\cdots\)
158.6.a.c	$158$	$6$	158.a	1.a	$1$	$7$	$7$	$25.341$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$1$	\(-28\)	\(-9\)	\(31\)	\(-235\)	$+$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q-4q^{2}+(-1-\beta _{1})q^{3}+2^{4}q^{4}+(4+\cdots)q^{5}+\cdots\)
158.6.a.d	$158$	$6$	158.a	1.a	$1$	$9$	$9$	$25.341$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(-36\)	\(9\)	\(31\)	\(255\)	$-$	$2^{4}\cdot 3$	$\mathrm{SU}(2)$	\(q-4q^{2}+(1-\beta _{1})q^{3}+2^{4}q^{4}+(3-\beta _{5}+\cdots)q^{5}+\cdots\)
158.6.a.e	$158$	$6$	158.a	1.a	$1$	$9$	$9$	$25.341$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(36\)	\(45\)	\(69\)	\(451\)	$-$	$2^{5}\cdot 3$	$\mathrm{SU}(2)$	\(q+4q^{2}+(5-\beta _{1})q^{3}+2^{4}q^{4}+(8+\beta _{3}+\cdots)q^{5}+\cdots\)
158.6.c.a	$158$	$6$	158.c	79.c	$3$	$34$	$17$	$25.341$		None		$2$	$0$	\(-68\)	\(-9\)	\(-31\)	\(-8\)			$\mathrm{SU}(2)[C_{3}]$
158.6.c.b	$158$	$6$	158.c	79.c	$3$	$34$	$17$	$25.341$		None		$2$	$0$	\(68\)	\(9\)	\(31\)	\(188\)			$\mathrm{SU}(2)[C_{3}]$
158.7.b.a	$158$	$7$	158.b	79.b	$2$	$40$	$40$	$36.349$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
158.7.d.a	$158$	$7$	158.d	79.d	$6$	$80$	$40$	$36.349$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-1068\)			$\mathrm{SU}(2)[C_{6}]$
158.8.a.a	$158$	$8$	158.a	1.a	$1$	$10$	$10$	$49.357$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None	✓	$1$	$1$	\(-80\)	\(-39\)	\(223\)	\(-2077\)	$-$	$2^{14}\cdot 3$	$\mathrm{SU}(2)$	\(q-8q^{2}+(-4+\beta _{1})q^{3}+2^{6}q^{4}+(22+\cdots)q^{5}+\cdots\)
158.8.a.b	$158$	$8$	158.a	1.a	$1$	$11$	$11$	$49.357$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$1$	\(88\)	\(-135\)	\(-513\)	\(-2433\)	$-$	$2^{10}\cdot 3^{3}$	$\mathrm{SU}(2)$	\(q+8q^{2}+(-12-\beta _{1})q^{3}+2^{6}q^{4}+(-47+\cdots)q^{5}+\cdots\)
158.8.a.c	$158$	$8$	158.a	1.a	$1$	$12$	$12$	$49.357$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$0$	\(-96\)	\(15\)	\(223\)	\(1353\)	$+$	$2^{14}\cdot 3^{7}\cdot 5^{2}$	$\mathrm{SU}(2)$	\(q-8q^{2}+(1+\beta _{1})q^{3}+2^{6}q^{4}+(19-\beta _{5}+\cdots)q^{5}+\cdots\)
158.8.a.d	$158$	$8$	158.a	1.a	$1$	$13$	$13$	$49.357$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$0$	\(104\)	\(81\)	\(487\)	\(2369\)	$+$	$2^{13}\cdot 3$	$\mathrm{SU}(2)$	\(q+8q^{2}+(6+\beta _{1})q^{3}+2^{6}q^{4}+(37-\beta _{2}+\cdots)q^{5}+\cdots\)
158.8.c.a	$158$	$8$	158.c	79.c	$3$	$46$	$23$	$49.357$		None		$2$	$0$	\(-184\)	\(27\)	\(-13\)	\(1500\)			$\mathrm{SU}(2)[C_{3}]$
158.8.c.b	$158$	$8$	158.c	79.c	$3$	$46$	$23$	$49.357$		None		$2$	$0$	\(184\)	\(-27\)	\(13\)	\(128\)			$\mathrm{SU}(2)[C_{3}]$
158.9.b.a	$158$	$9$	158.b	79.b	$2$	$52$	$52$	$64.366$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
158.10.a.a	$158$	$10$	158.a	1.a	$1$	$13$	$13$	$81.376$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(208\)	\(-168\)	\(-2569\)	\(-15836\)	$+$	$2^{20}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q+2^{4}q^{2}+(-13+\beta _{1})q^{3}+2^{8}q^{4}+\cdots\)