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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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
141.2.a.a	$141$	$2$	141.a	1.a	$1$	$1$	$1$	$1.126$	\(\Q\)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(-3\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{2}+q^{3}+2q^{4}-3q^{5}-2q^{6}+\cdots\)
141.2.a.b	$141$	$2$	141.a	1.a	$1$	$1$	$1$	$1.126$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(-1\)	\(0\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}-q^{4}+q^{6}+4q^{7}+3q^{8}+\cdots\)
141.2.a.c	$141$	$2$	141.a	1.a	$1$	$1$	$1$	$1.126$	\(\Q\)	None	✓	$1$	$0$	\(-1\)	\(1\)	\(2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}-q^{4}+2q^{5}-q^{6}+3q^{8}+\cdots\)
141.2.a.d	$141$	$2$	141.a	1.a	$1$	$1$	$1$	$1.126$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-1\)	\(-1\)	\(-3\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}-2q^{4}-q^{5}-3q^{7}+q^{9}-3q^{11}+\cdots\)
141.2.a.e	$141$	$2$	141.a	1.a	$1$	$1$	$1$	$1.126$	\(\Q\)	None	✓	$1$	$0$	\(2\)	\(1\)	\(-1\)	\(-3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{2}+q^{3}+2q^{4}-q^{5}+2q^{6}-3q^{7}+\cdots\)
141.2.a.f	$141$	$2$	141.a	1.a	$1$	$2$	$2$	$1.126$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(-1\)	\(-2\)	\(1\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}-q^{3}+(2+\beta )q^{4}+(1-\beta )q^{5}+\cdots\)
141.2.c.a	$141$	$2$	141.c	141.c	$2$	$4$	$4$	$1.126$	\(\Q(\sqrt{-2}, \sqrt{15})\)	None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(-4\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{2}+(-1+\beta _{1})q^{3}+\beta _{3}q^{5}+(-2+\cdots)q^{6}+\cdots\)
141.2.c.b	$141$	$2$	141.c	141.c	$2$	$10$	$10$	$1.126$	10.0.\(\cdots\).1	\(\Q(\sqrt{-47}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2\cdot 3^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{3}q^{2}-\beta _{1}q^{3}+(-2-\beta _{5})q^{4}-\beta _{6}q^{6}+\cdots\)
141.2.e.a	$141$	$2$	141.e	47.c	$23$	$88$	$4$	$1.126$		None		$2$	$0$	\(-2\)	\(-4\)	\(-4\)	\(-2\)			$\mathrm{SU}(2)[C_{23}]$
141.2.e.b	$141$	$2$	141.e	47.c	$23$	$88$	$4$	$1.126$		None		$2$	$0$	\(2\)	\(4\)	\(0\)	\(-2\)			$\mathrm{SU}(2)[C_{23}]$
141.2.g.a	$141$	$2$	141.g	141.g	$46$	$308$	$14$	$1.126$		None		$4$	$0$	\(0\)	\(-19\)	\(0\)	\(-42\)			$\mathrm{SU}(2)[C_{46}]$
141.3.b.a	$141$	$3$	141.b	3.b	$2$	$30$	$30$	$3.842$		None		$2$	$0$	\(0\)	\(-4\)	\(0\)	\(-4\)			$\mathrm{SU}(2)[C_{2}]$
141.3.d.a	$141$	$3$	141.d	47.b	$2$	$16$	$16$	$3.842$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(12\)		$2^{8}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{9}q^{2}-\beta _{4}q^{3}+(2-\beta _{4}-\beta _{11})q^{4}+\cdots\)
141.3.f.a	$141$	$3$	141.f	47.d	$46$	$352$	$16$	$3.842$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-12\)			$\mathrm{SU}(2)[C_{46}]$
141.3.h.a	$141$	$3$	141.h	141.h	$46$	$660$	$30$	$3.842$		None		$4$	$0$	\(0\)	\(-19\)	\(0\)	\(-42\)			$\mathrm{SU}(2)[C_{46}]$
141.4.a.a	$141$	$4$	141.a	1.a	$1$	$2$	$2$	$8.319$	\(\Q(\sqrt{111}) \)	None	✓	$1$	$0$	\(8\)	\(6\)	\(6\)	\(20\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{2}+3q^{3}+8q^{4}+(3+\beta )q^{5}+12q^{6}+\cdots\)
141.4.a.b	$141$	$4$	141.a	1.a	$1$	$5$	$5$	$8.319$	5.5.13374304.1	None	✓	$1$	$1$	\(-5\)	\(15\)	\(-34\)	\(-26\)	$-$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{3})q^{2}+3q^{3}+(1-\beta _{1}+2\beta _{3}+\cdots)q^{4}+\cdots\)
141.4.a.c	$141$	$4$	141.a	1.a	$1$	$5$	$5$	$8.319$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$0$	\(-1\)	\(15\)	\(10\)	\(10\)	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}+3q^{3}+(3-\beta _{1}+\beta _{2}-\beta _{3}+\cdots)q^{4}+\cdots\)
141.4.a.d	$141$	$4$	141.a	1.a	$1$	$5$	$5$	$8.319$	\(\mathbb{Q}[x]/(x^{5} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(-15\)	\(-4\)	\(-26\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-3q^{3}+(2+\beta _{2})q^{4}+(2\beta _{1}+\cdots)q^{5}+\cdots\)
141.4.a.e	$141$	$4$	141.a	1.a	$1$	$7$	$7$	$8.319$	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	✓	$1$	$0$	\(-3\)	\(-21\)	\(6\)	\(30\)	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta _{1}q^{2}-3q^{3}+(5+\beta _{1}+\beta _{2})q^{4}+\cdots\)
141.4.c.a	$141$	$4$	141.c	141.c	$2$	$10$	$10$	$8.319$	10.0.\(\cdots\).1	\(\Q(\sqrt{-47}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2\cdot 3^{4}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{3}q^{2}+(-\beta _{1}-\beta _{2}-\beta _{5})q^{3}+(-8+\cdots)q^{4}+\cdots\)
141.4.c.b	$141$	$4$	141.c	141.c	$2$	$36$	$36$	$8.319$		None		$4$	$0$	\(0\)	\(2\)	\(0\)	\(-4\)			$\mathrm{SU}(2)[C_{2}]$
141.4.e.a	$141$	$4$	141.e	47.c	$23$	$264$	$12$	$8.319$		None		$2$	$0$	\(-2\)	\(-36\)	\(18\)	\(-4\)			$\mathrm{SU}(2)[C_{23}]$
141.4.e.b	$141$	$4$	141.e	47.c	$23$	$264$	$12$	$8.319$		None		$2$	$0$	\(2\)	\(36\)	\(-2\)	\(-4\)			$\mathrm{SU}(2)[C_{23}]$
141.4.g.a	$141$	$4$	141.g	141.g	$46$	$1012$	$46$	$8.319$		None		$4$	$0$	\(0\)	\(-25\)	\(0\)	\(-42\)			$\mathrm{SU}(2)[C_{46}]$
141.5.b.a	$141$	$5$	141.b	3.b	$2$	$62$	$62$	$14.575$		None		$2$	$0$	\(0\)	\(8\)	\(0\)	\(-4\)			$\mathrm{SU}(2)[C_{2}]$
141.5.d.a	$141$	$5$	141.d	47.b	$2$	$32$	$32$	$14.575$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-60\)			$\mathrm{SU}(2)[C_{2}]$
141.5.f.a	$141$	$5$	141.f	47.d	$46$	$704$	$32$	$14.575$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(60\)			$\mathrm{SU}(2)[C_{46}]$
141.5.h.a	$141$	$5$	141.h	141.h	$46$	$1364$	$62$	$14.575$		None		$4$	$0$	\(0\)	\(-31\)	\(0\)	\(-42\)			$\mathrm{SU}(2)[C_{46}]$
141.6.a.a	$141$	$6$	141.a	1.a	$1$	$1$	$1$	$22.614$	\(\Q\)	None	✓	$1$	$0$	\(8\)	\(9\)	\(69\)	\(135\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+8q^{2}+9q^{3}+2^{5}q^{4}+69q^{5}+72q^{6}+\cdots\)
141.6.a.b	$141$	$6$	141.a	1.a	$1$	$8$	$8$	$22.614$	\(\mathbb{Q}[x]/(x^{8} - \cdots)\)	None	✓	$1$	$1$	\(-11\)	\(72\)	\(-95\)	\(-215\)	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}+9q^{3}+(10+2\beta _{1}+\cdots)q^{4}+\cdots\)
141.6.a.c	$141$	$6$	141.a	1.a	$1$	$9$	$9$	$22.614$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$0$	\(5\)	\(81\)	\(86\)	\(42\)	$-$	$2^{5}\cdot 3^{2}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}+9q^{3}+(18-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
141.6.a.d	$141$	$6$	141.a	1.a	$1$	$9$	$9$	$22.614$	\(\mathbb{Q}[x]/(x^{9} - \cdots)\)	None	✓	$1$	$1$	\(9\)	\(-81\)	\(-39\)	\(-255\)	$+$	$2^{3}$	$\mathrm{SU}(2)$	\(q+(1-\beta _{1})q^{2}-9q^{3}+(15-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
141.6.a.e	$141$	$6$	141.a	1.a	$1$	$11$	$11$	$22.614$	\(\mathbb{Q}[x]/(x^{11} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(-99\)	\(11\)	\(137\)	$-$	$2^{11}\cdot 3$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-9q^{3}+(21+\beta _{2})q^{4}+(1+\beta _{3}+\cdots)q^{5}+\cdots\)
141.6.c.a	$141$	$6$	141.c	141.c	$2$	$2$	$2$	$22.614$	\(\Q(\sqrt{-47}) \)	\(\Q(\sqrt{-47}) \)		$4$	$0$	\(0\)	\(28\)	\(0\)	\(-512\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta q^{2}+(14-\beta )q^{3}-15q^{4}+(-47+\cdots)q^{6}+\cdots\)
141.6.c.b	$141$	$6$	141.c	141.c	$2$	$8$	$8$	$22.614$	8.0.\(\cdots\).1	\(\Q(\sqrt{-47}) \)		$4$	$0$	\(0\)	\(-28\)	\(0\)	\(512\)		$3^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+(-2+\beta _{3}+3\beta _{4}+2\beta _{5}-\beta _{7})q^{2}+\cdots\)
141.6.c.c	$141$	$6$	141.c	141.c	$2$	$68$	$68$	$22.614$		None		$4$	$0$	\(0\)	\(-4\)	\(0\)	\(-4\)			$\mathrm{SU}(2)[C_{2}]$
141.7.b.a	$141$	$7$	141.b	3.b	$2$	$92$	$92$	$32.438$		None		$2$	$0$	\(0\)	\(20\)	\(0\)	\(568\)			$\mathrm{SU}(2)[C_{2}]$
141.7.d.a	$141$	$7$	141.d	47.b	$2$	$48$	$48$	$32.438$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-288\)			$\mathrm{SU}(2)[C_{2}]$
141.8.a.a	$141$	$8$	141.a	1.a	$1$	$12$	$12$	$44.046$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	✓	$1$	$1$	\(1\)	\(-324\)	\(-389\)	\(-1111\)	$-$	$2^{10}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3^{3}q^{3}+(56+\beta _{2})q^{4}+(-2^{5}+\cdots)q^{5}+\cdots\)
141.8.a.b	$141$	$8$	141.a	1.a	$1$	$13$	$13$	$44.046$	\(\mathbb{Q}[x]/(x^{13} - \cdots)\)	None	✓	$1$	$1$	\(-23\)	\(351\)	\(-749\)	\(-1175\)	$-$	$2^{10}\cdot 3^{4}$	$\mathrm{SU}(2)$	\(q+(-2+\beta _{1})q^{2}+3^{3}q^{3}+(67-2\beta _{1}+\cdots)q^{4}+\cdots\)
141.8.a.c	$141$	$8$	141.a	1.a	$1$	$14$	$14$	$44.046$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	✓	$1$	$0$	\(-15\)	\(-378\)	\(-139\)	\(1633\)	$+$	$2^{10}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}-3^{3}q^{3}+(75+\beta _{1}+\cdots)q^{4}+\cdots\)
141.8.a.d	$141$	$8$	141.a	1.a	$1$	$15$	$15$	$44.046$	\(\mathbb{Q}[x]/(x^{15} - \cdots)\)	None	✓	$1$	$0$	\(25\)	\(405\)	\(501\)	\(1569\)	$+$	$2^{11}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q+(2-\beta _{1})q^{2}+3^{3}q^{3}+(84-2\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
141.9.d.a	$141$	$9$	141.d	47.b	$2$	$64$	$64$	$57.440$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(4380\)			$\mathrm{SU}(2)[C_{2}]$
141.10.a.a	$141$	$10$	141.a	1.a	$1$	$16$	$16$	$72.620$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$1$	\(-47\)	\(1296\)	\(-1254\)	\(-16826\)	$+$	$2^{11}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q+(-3+\beta _{1})q^{2}+3^{4}q^{3}+(219-4\beta _{1}+\cdots)q^{4}+\cdots\)
141.10.a.b	$141$	$10$	141.a	1.a	$1$	$16$	$16$	$72.620$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	None	✓	$1$	$1$	\(33\)	\(-1296\)	\(-220\)	\(-3218\)	$+$	$2^{11}\cdot 3^{5}$	$\mathrm{SU}(2)$	\(q+(2+\beta _{1})q^{2}-3^{4}q^{3}+(203+3\beta _{1}+\cdots)q^{4}+\cdots\)
141.10.a.c	$141$	$10$	141.a	1.a	$1$	$18$	$18$	$72.620$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(1\)	\(-1458\)	\(1030\)	\(15990\)	$-$	$2^{24}\cdot 3^{7}$	$\mathrm{SU}(2)$	\(q+\beta _{1}q^{2}-3^{4}q^{3}+(266+\beta _{2})q^{4}+(57+\cdots)q^{5}+\cdots\)
141.10.a.d	$141$	$10$	141.a	1.a	$1$	$18$	$18$	$72.620$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	✓	$1$	$0$	\(49\)	\(1458\)	\(4996\)	\(2382\)	$-$	$2^{19}\cdot 3^{6}$	$\mathrm{SU}(2)$	\(q+(3-\beta _{1})q^{2}+3^{4}q^{3}+(281-4\beta _{1}+\cdots)q^{4}+\cdots\)
141.11.d.a	$141$	$11$	141.d	47.b	$2$	$80$	$80$	$89.585$		None		$2$	$0$	\(0\)	\(0\)	\(0\)	\(-7788\)			$\mathrm{SU}(2)[C_{2}]$
141.12.a.a	$141$	$12$	141.a	1.a	$1$	$20$	$20$	$108.336$	\(\mathbb{Q}[x]/(x^{20} - \cdots)\)	None	✓	$1$	$1$	\(-23\)	\(-4860\)	\(7901\)	\(-58651\)	$-$	$2^{27}\cdot 3^{9}$	$\mathrm{SU}(2)$	\(q+(-1-\beta _{1})q^{2}-3^{5}q^{3}+(845+\beta _{2}+\cdots)q^{4}+\cdots\)