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Results (1-50 of 302 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
64.2.a.a	$64$	$2$	64.a	1.a	$1$	$1$	$1$	$0.511$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(2\)	\(0\)	$-$	$1$	$N(\mathrm{U}(1))$	\(q+2q^{5}-3q^{9}-6q^{13}+2q^{17}-q^{25}+\cdots\)
64.2.b.a	$64$	$2$	64.b	8.b	$2$	$2$	$2$	$0.511$	\(\Q(\sqrt{-1}) \)	\(\Q(\sqrt{-2}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q+iq^{3}-q^{9}-3iq^{11}-6q^{17}+iq^{19}+\cdots\)
64.2.e.a	$64$	$2$	64.e	16.e	$4$	$2$	$1$	$0.511$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(2\)	\(-2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{4}]$	\(q+(1-i)q^{3}+(-1-i)q^{5}+2iq^{7}+\cdots\)
64.2.i.a	$64$	$2$	64.i	64.i	$16$	$56$	$7$	$0.511$		None		$2$	$0$	\(-8\)	\(-8\)	\(-8\)	\(-8\)			$\mathrm{SU}(2)[C_{16}]$
64.3.c.a	$64$	$3$	64.c	4.b	$2$	$1$	$1$	$1.744$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(6\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+6q^{5}+9q^{9}-10q^{13}-30q^{17}+\cdots\)
64.3.c.b	$64$	$3$	64.c	4.b	$2$	$2$	$2$	$1.744$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{3}-2q^{5}+2iq^{7}-7q^{9}-iq^{11}+\cdots\)
64.3.d.a	$64$	$3$	64.d	8.d	$2$	$4$	$4$	$1.744$	\(\Q(\zeta_{12})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{8}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\zeta_{12}q^{3}-\zeta_{12}^{2}q^{5}-\zeta_{12}^{3}q^{7}+3q^{9}+\cdots\)
64.3.f.a	$64$	$3$	64.f	16.f	$4$	$6$	$3$	$1.744$	6.0.399424.1	None		$2$	$0$	\(0\)	\(2\)	\(-2\)	\(4\)		$2^{6}$	$\mathrm{SU}(2)[C_{4}]$	\(q-\beta _{5}q^{3}+(-1-\beta _{1}-\beta _{3}-\beta _{5})q^{5}+\cdots\)
64.3.j.a	$64$	$3$	64.j	64.j	$16$	$120$	$15$	$1.744$		None		$2$	$0$	\(-8\)	\(-8\)	\(-8\)	\(-8\)			$\mathrm{SU}(2)[C_{16}]$
64.4.a.a	$64$	$4$	64.a	1.a	$1$	$1$	$1$	$3.776$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-8\)	\(10\)	\(16\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{3}+10q^{5}+2^{4}q^{7}+37q^{9}+40q^{11}+\cdots\)
64.4.a.b	$64$	$4$	64.a	1.a	$1$	$1$	$1$	$3.776$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-4\)	\(2\)	\(-24\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{3}+2q^{5}-24q^{7}-11q^{9}-44q^{11}+\cdots\)
64.4.a.c	$64$	$4$	64.a	1.a	$1$	$1$	$1$	$3.776$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$1$	\(0\)	\(0\)	\(-22\)	\(0\)	$-$	$1$	$N(\mathrm{U}(1))$	\(q-22q^{5}-3^{3}q^{9}+18q^{13}-94q^{17}+\cdots\)
64.4.a.d	$64$	$4$	64.a	1.a	$1$	$1$	$1$	$3.776$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(4\)	\(2\)	\(24\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+4q^{3}+2q^{5}+24q^{7}-11q^{9}+44q^{11}+\cdots\)
64.4.a.e	$64$	$4$	64.a	1.a	$1$	$1$	$1$	$3.776$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(8\)	\(10\)	\(-16\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+8q^{3}+10q^{5}-2^{4}q^{7}+37q^{9}-40q^{11}+\cdots\)
64.4.b.a	$64$	$4$	64.b	8.b	$2$	$2$	$2$	$3.776$	\(\Q(\sqrt{-1}) \)	\(\Q(\sqrt{-2}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q+5iq^{3}-73q^{9}+9iq^{11}+90q^{17}+\cdots\)
64.4.b.b	$64$	$4$	64.b	8.b	$2$	$4$	$4$	$3.776$	\(\Q(\zeta_{12})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{10}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\zeta_{12}q^{3}-\zeta_{12}^{2}q^{5}+\zeta_{12}^{3}q^{7}+23q^{9}+\cdots\)
64.4.e.a	$64$	$4$	64.e	16.e	$4$	$10$	$5$	$3.776$	\(\mathbb{Q}[x]/(x^{10} - \cdots)\)	None		$2$	$0$	\(0\)	\(2\)	\(-2\)	\(0\)		$2^{20}$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{5}q^{3}+\beta _{3}q^{5}+(3\beta _{1}-\beta _{4})q^{7}+(5\beta _{1}+\cdots)q^{9}+\cdots\)
64.4.i.a	$64$	$4$	64.i	64.i	$16$	$184$	$23$	$3.776$		None		$2$	$0$	\(-8\)	\(-8\)	\(-8\)	\(-8\)			$\mathrm{SU}(2)[C_{16}]$
64.5.c.a	$64$	$5$	64.c	4.b	$2$	$1$	$1$	$6.616$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(14\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q+14q^{5}+3^{4}q^{9}+238q^{13}+322q^{17}+\cdots\)
64.5.c.b	$64$	$5$	64.c	4.b	$2$	$2$	$2$	$6.616$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(-52\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{3}-26q^{5}-22iq^{7}+65q^{9}+\cdots\)
64.5.c.c	$64$	$5$	64.c	4.b	$2$	$2$	$2$	$6.616$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(0\)	\(0\)	\(-36\)	\(0\)		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\zeta_{6}q^{3}-18q^{5}-2\zeta_{6}q^{7}-111q^{9}+\cdots\)
64.5.c.d	$64$	$5$	64.c	4.b	$2$	$2$	$2$	$6.616$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(76\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+3iq^{3}+38q^{5}-2iq^{7}-63q^{9}+\cdots\)
64.5.d.a	$64$	$5$	64.d	8.d	$2$	$4$	$4$	$6.616$	\(\Q(\zeta_{12})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{8}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\zeta_{12}q^{3}-3\zeta_{12}^{2}q^{5}+5\zeta_{12}^{3}q^{7}+\cdots\)
64.5.d.b	$64$	$5$	64.d	8.d	$2$	$4$	$4$	$6.616$	\(\Q(i, \sqrt{51})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{8}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{3}-\beta _{3}q^{5}+7\beta _{2}q^{7}+123q^{9}+\cdots\)
64.5.f.a	$64$	$5$	64.f	16.f	$4$	$14$	$7$	$6.616$	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None		$2$	$0$	\(0\)	\(2\)	\(-2\)	\(4\)		$2^{42}$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{2}q^{3}+\beta _{3}q^{5}+\beta _{9}q^{7}+(19\beta _{1}-\beta _{2}+\cdots)q^{9}+\cdots\)
64.5.j.a	$64$	$5$	64.j	64.j	$16$	$248$	$31$	$6.616$		None		$2$	$0$	\(-8\)	\(-8\)	\(-8\)	\(-8\)			$\mathrm{SU}(2)[C_{16}]$
64.6.a.a	$64$	$6$	64.a	1.a	$1$	$1$	$1$	$10.265$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-20\)	\(74\)	\(-24\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-20q^{3}+74q^{5}-24q^{7}+157q^{9}+\cdots\)
64.6.a.b	$64$	$6$	64.a	1.a	$1$	$1$	$1$	$10.265$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-12\)	\(-54\)	\(88\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-12q^{3}-54q^{5}+88q^{7}-99q^{9}+\cdots\)
64.6.a.c	$64$	$6$	64.a	1.a	$1$	$1$	$1$	$10.265$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-8\)	\(-14\)	\(208\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-8q^{3}-14q^{5}+208q^{7}-179q^{9}+\cdots\)
64.6.a.d	$64$	$6$	64.a	1.a	$1$	$1$	$1$	$10.265$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(82\)	\(0\)	$-$	$1$	$N(\mathrm{U}(1))$	\(q+82q^{5}-3^{5}q^{9}+1194q^{13}+2242q^{17}+\cdots\)
64.6.a.e	$64$	$6$	64.a	1.a	$1$	$1$	$1$	$10.265$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(8\)	\(-14\)	\(-208\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+8q^{3}-14q^{5}-208q^{7}-179q^{9}+\cdots\)
64.6.a.f	$64$	$6$	64.a	1.a	$1$	$1$	$1$	$10.265$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(12\)	\(-54\)	\(-88\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+12q^{3}-54q^{5}-88q^{7}-99q^{9}+\cdots\)
64.6.a.g	$64$	$6$	64.a	1.a	$1$	$1$	$1$	$10.265$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(20\)	\(74\)	\(24\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+20q^{3}+74q^{5}+24q^{7}+157q^{9}+\cdots\)
64.6.a.h	$64$	$6$	64.a	1.a	$1$	$2$	$2$	$10.265$	\(\Q(\sqrt{3}) \)	None	✓	$2$	$0$	\(0\)	\(0\)	\(-92\)	\(0\)	$-$	$2^{4}$	$\mathrm{SU}(2)$	\(q+\beta q^{3}-46q^{5}+6\beta q^{7}+525q^{9}+\cdots\)
64.6.b.a	$64$	$6$	64.b	8.b	$2$	$2$	$2$	$10.265$	\(\Q(\sqrt{-1}) \)	\(\Q(\sqrt{-2}) \)		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q+iq^{3}+239q^{9}+237iq^{11}+1914q^{17}+\cdots\)
64.6.b.b	$64$	$6$	64.b	8.b	$2$	$8$	$8$	$10.265$	8.0.\(\cdots\).15	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{42}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{3}q^{3}+\beta _{1}q^{5}-\beta _{6}q^{7}+(-161+\cdots)q^{9}+\cdots\)
64.6.e.a	$64$	$6$	64.e	16.e	$4$	$18$	$9$	$10.265$	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None		$2$	$0$	\(0\)	\(2\)	\(-2\)	\(0\)		$2^{72}$	$\mathrm{SU}(2)[C_{4}]$	\(q+\beta _{6}q^{3}-\beta _{5}q^{5}+(-11\beta _{1}+\beta _{4})q^{7}+\cdots\)
64.6.i.a	$64$	$6$	64.i	64.i	$16$	$312$	$39$	$10.265$		None		$2$	$0$	\(-8\)	\(-8\)	\(-8\)	\(-8\)			$\mathrm{SU}(2)[C_{16}]$
64.7.c.a	$64$	$7$	64.c	4.b	$2$	$1$	$1$	$14.723$	\(\Q\)	\(\Q(\sqrt{-1}) \)	✓	$2$	$0$	\(0\)	\(0\)	\(-234\)	\(0\)		$1$	$\mathrm{U}(1)[D_{2}]$	\(q-234q^{5}+3^{6}q^{9}+4070q^{13}-990q^{17}+\cdots\)
64.7.c.b	$64$	$7$	64.c	4.b	$2$	$2$	$2$	$14.723$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(-100\)	\(0\)		$2^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{3}-50q^{5}-46iq^{7}+713q^{9}+\cdots\)
64.7.c.c	$64$	$7$	64.c	4.b	$2$	$2$	$2$	$14.723$	\(\Q(\sqrt{-15}) \)	None		$2$	$0$	\(0\)	\(0\)	\(-20\)	\(0\)		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta q^{3}-10q^{5}-10\beta q^{7}-231q^{9}+\cdots\)
64.7.c.d	$64$	$7$	64.c	4.b	$2$	$2$	$2$	$14.723$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(0\)	\(0\)	\(300\)	\(0\)		$2^{5}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\zeta_{6}q^{3}+150q^{5}+22\zeta_{6}q^{7}-39q^{9}+\cdots\)
64.7.c.e	$64$	$7$	64.c	4.b	$2$	$4$	$4$	$14.723$	\(\Q(i, \sqrt{6})\)	None		$2$	$0$	\(0\)	\(0\)	\(56\)	\(0\)		$2^{17}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{3}+(14+\beta _{3})q^{5}+(-2\beta _{1}+5\beta _{2}+\cdots)q^{7}+\cdots\)
64.7.d.a	$64$	$7$	64.d	8.d	$2$	$4$	$4$	$14.723$	\(\Q(i, \sqrt{11})\)	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{8}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{3}-5\beta _{3}q^{5}-11\beta _{2}q^{7}-333q^{9}+\cdots\)
64.7.d.b	$64$	$7$	64.d	8.d	$2$	$8$	$8$	$14.723$	8.0.\(\cdots\).9	None		$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{40}\cdot 3^{2}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{4}q^{3}-\beta _{3}q^{5}+(-\beta _{6}+\beta _{7})q^{7}+\cdots\)
64.7.f.a	$64$	$7$	64.f	16.f	$4$	$22$	$11$	$14.723$		None		$2$	$0$	\(0\)	\(2\)	\(-2\)	\(4\)			$\mathrm{SU}(2)[C_{4}]$
64.7.j.a	$64$	$7$	64.j	64.j	$16$	$376$	$47$	$14.723$		None		$2$	$0$	\(-8\)	\(-8\)	\(-8\)	\(-8\)			$\mathrm{SU}(2)[C_{16}]$
64.8.a.a	$64$	$8$	64.a	1.a	$1$	$1$	$1$	$19.993$	\(\Q\)	None	✓	$1$	$1$	\(0\)	\(-84\)	\(82\)	\(456\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-84q^{3}+82q^{5}+456q^{7}+4869q^{9}+\cdots\)
64.8.a.b	$64$	$8$	64.a	1.a	$1$	$1$	$1$	$19.993$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-44\)	\(-430\)	\(-1224\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-44q^{3}-430q^{5}-1224q^{7}-251q^{9}+\cdots\)
64.8.a.c	$64$	$8$	64.a	1.a	$1$	$1$	$1$	$19.993$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-12\)	\(210\)	\(1016\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-12q^{3}+210q^{5}+1016q^{7}-2043q^{9}+\cdots\)