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Results (1-50 of 207 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
																				$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
936.1.o.a	$936$	$1$	936.o	104.h	$2$	$1$	$1$	$0.467$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-26}) \)	None	✓				104.1.h.a	$2$	$0$	\(-1\)	\(0\)	\(1\)	\(-1\)		$1$		\(q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots\)
936.1.o.b	$936$	$1$	936.o	104.h	$2$	$1$	$1$	$0.467$	\(\Q\)	$D_{3}$	\(\Q(\sqrt{-26}) \)	None	✓				104.1.h.a	$2$	$0$	\(1\)	\(0\)	\(-1\)	\(1\)		$1$		\(q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots\)
936.1.o.c	$936$	$1$	936.o	104.h	$2$	$4$	$4$	$0.467$	\(\Q(\zeta_{8})\)	$D_{4}$	\(\Q(\sqrt{-39}) \)	None		✓	✓		936.1.o.c	$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots\)
936.1.bs.a	$936$	$1$	936.bs	936.as	$6$	$6$	$3$	$0.467$	\(\Q(\zeta_{18})\)	$D_{9}$	\(\Q(\sqrt{-26}) \)	None		✓			936.1.bs.a	$4$	$0$	\(-3\)	\(0\)	\(0\)	\(0\)		$1$		\(q-\zeta_{18}^{3}q^{2}+\zeta_{18}^{8}q^{3}+\zeta_{18}^{6}q^{4}+\cdots\)
936.1.bs.b	$936$	$1$	936.bs	936.as	$6$	$6$	$3$	$0.467$	\(\Q(\zeta_{18})\)	$D_{9}$	\(\Q(\sqrt{-26}) \)	None		✓			936.1.bs.a	$4$	$0$	\(3\)	\(0\)	\(0\)	\(0\)		$1$		\(q+\zeta_{18}^{3}q^{2}+\zeta_{18}^{8}q^{3}+\zeta_{18}^{6}q^{4}+\cdots\)
936.1.dm.a	$936$	$1$	936.dm	117.y	$12$	$4$	$1$	$0.467$	\(\Q(\zeta_{12})\)	$S_{4}$	None	None		✓			936.1.dm.a	$4$	$0$	\(0\)	\(-2\)	\(0\)	\(-2\)		$1$		\(q-\zeta_{12}^{2}q^{3}+(-\zeta_{12}+\zeta_{12}^{4})q^{7}+\zeta_{12}^{4}q^{9}+\cdots\)
936.1.dm.b	$936$	$1$	936.dm	117.y	$12$	$4$	$1$	$0.467$	\(\Q(\zeta_{12})\)	$S_{4}$	None	None		✓			936.1.dm.b	$4$	$0$	\(0\)	\(2\)	\(2\)	\(0\)		$1$		\(q+\zeta_{12}^{2}q^{3}+(\zeta_{12}^{2}-\zeta_{12}^{5})q^{5}+\zeta_{12}^{4}q^{9}+\cdots\)
936.2.a.a	$936$	$2$	936.a	1.a	$1$	$1$	$1$	$7.474$	\(\Q\)	$_{}$	None	None	✓				312.2.a.c	$1$	$0$	\(0\)	\(0\)	\(-4\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-4q^{5}+2q^{11}-q^{13}-2q^{17}+8q^{19}+\cdots\)
936.2.a.b	$936$	$2$	936.a	1.a	$1$	$1$	$1$	$7.474$	\(\Q\)	$_{}$	None	None	✓		✓	✓	312.2.a.f	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+q^{13}-2q^{17}-4q^{19}-q^{25}+\cdots\)
936.2.a.c	$936$	$2$	936.a	1.a	$1$	$1$	$1$	$7.474$	\(\Q\)	$_{}$	None	None	✓	✓	✓	✓	936.2.a.c	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2q^{5}+2q^{7}-4q^{11}-q^{13}-2q^{19}+\cdots\)
936.2.a.d	$936$	$2$	936.a	1.a	$1$	$1$	$1$	$7.474$	\(\Q\)	$_{}$	None	None	✓				312.2.a.b	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-4q^{7}+2q^{11}-q^{13}+6q^{17}-4q^{19}+\cdots\)
936.2.a.e	$936$	$2$	936.a	1.a	$1$	$1$	$1$	$7.474$	\(\Q\)	$_{}$	None	None	✓				312.2.a.e	$1$	$1$	\(0\)	\(0\)	\(0\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-6q^{11}-q^{13}-2q^{17}-4q^{23}-5q^{25}+\cdots\)
936.2.a.f	$936$	$2$	936.a	1.a	$1$	$1$	$1$	$7.474$	\(\Q\)	$_{}$	None	None	✓				104.2.a.a	$1$	$0$	\(0\)	\(0\)	\(1\)	\(5\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{5}+5q^{7}+2q^{11}-q^{13}+3q^{17}+\cdots\)
936.2.a.g	$936$	$2$	936.a	1.a	$1$	$1$	$1$	$7.474$	\(\Q\)	$_{}$	None	None	✓	✓	✓	✓	936.2.a.c	$1$	$0$	\(0\)	\(0\)	\(2\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+2q^{7}+4q^{11}-q^{13}-2q^{19}+\cdots\)
936.2.a.h	$936$	$2$	936.a	1.a	$1$	$1$	$1$	$7.474$	\(\Q\)	$_{}$	None	None	✓				312.2.a.a	$1$	$0$	\(0\)	\(0\)	\(2\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+2q^{5}+4q^{7}+q^{13}-2q^{17}+8q^{19}+\cdots\)
936.2.a.i	$936$	$2$	936.a	1.a	$1$	$1$	$1$	$7.474$	\(\Q\)	$_{}$	None	None	✓				312.2.a.d	$1$	$0$	\(0\)	\(0\)	\(4\)	\(-4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+4q^{5}-4q^{7}+2q^{11}-q^{13}+6q^{17}+\cdots\)
936.2.a.j	$936$	$2$	936.a	1.a	$1$	$2$	$2$	$7.474$	\(\Q(\sqrt{17}) \)	$_{}$	None	None	✓		✓		104.2.a.b	$1$	$0$	\(0\)	\(0\)	\(-3\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{5}+(-1+\beta )q^{7}+(2-2\beta )q^{11}+\cdots\)
936.2.a.k	$936$	$2$	936.a	1.a	$1$	$2$	$2$	$7.474$	\(\Q(\sqrt{2}) \)	$_{}$	None	None	✓	✓	✓	✓	936.2.a.k	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-4\)	$+$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(-2-\beta )q^{7}+(-2-\beta )q^{11}+\cdots\)
936.2.a.l	$936$	$2$	936.a	1.a	$1$	$2$	$2$	$7.474$	\(\Q(\sqrt{2}) \)	$_{}$	None	None	✓	✓	✓	✓	936.2.a.k	$1$	$0$	\(0\)	\(0\)	\(0\)	\(-4\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+\beta q^{5}+(-2+\beta )q^{7}+(2-\beta )q^{11}+\cdots\)
936.2.c.a	$936$	$2$	936.c	13.b	$2$	$2$	$2$	$7.474$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None					312.2.c.b	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{5}-iq^{7}+2iq^{11}+(-3+i)q^{13}+\cdots\)
936.2.c.b	$936$	$2$	936.c	13.b	$2$	$2$	$2$	$7.474$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None					312.2.c.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q-iq^{7}+iq^{11}+(3-i)q^{13}-2q^{17}+\cdots\)
936.2.c.c	$936$	$2$	936.c	13.b	$2$	$2$	$2$	$7.474$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None					312.2.c.c	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+2iq^{5}+iq^{7}+iq^{11}+(3-i)q^{13}+\cdots\)
936.2.c.d	$936$	$2$	936.c	13.b	$2$	$4$	$4$	$7.474$	\(\Q(i, \sqrt{17})\)	$_{}$	None	None					104.2.f.a	$2$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{1}q^{5}+(-\beta _{1}+\beta _{2})q^{7}+(-2\beta _{1}+\cdots)q^{11}+\cdots\)
936.2.c.e	$936$	$2$	936.c	13.b	$2$	$8$	$8$	$7.474$	8.0.40960000.1	$_{}$	None	None		✓	✓		936.2.c.e	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{12}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{2}q^{5}+\beta _{1}q^{7}+(-\beta _{2}+\beta _{4})q^{11}+\cdots\)
936.2.g.a	$936$	$2$	936.g	8.b	$2$	$2$	$2$	$7.474$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None					104.2.b.a	$2$	$0$	\(2\)	\(0\)	\(0\)	\(6\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(1+i)q^{2}+2iq^{4}+3iq^{5}+3q^{7}+\cdots\)
936.2.g.b	$936$	$2$	936.g	8.b	$2$	$4$	$4$	$7.474$	\(\Q(\zeta_{12})\)	$_{}$	None	None					104.2.b.b	$2$	$1$	\(-2\)	\(0\)	\(0\)	\(-12\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-\zeta_{12}+\zeta_{12}^{2})q^{2}+(\zeta_{12}+\zeta_{12}^{3})q^{4}+\cdots\)
936.2.g.c	$936$	$2$	936.g	8.b	$2$	$6$	$6$	$7.474$	6.0.399424.1	$_{}$	None	None					104.2.b.c	$2$	$0$	\(2\)	\(0\)	\(0\)	\(2\)		$2$	$\mathrm{SU}(2)[C_{2}]$	\(q+\beta _{2}q^{2}+(\beta _{1}+\beta _{5})q^{4}-\beta _{1}q^{5}+(\beta _{3}+\cdots)q^{7}+\cdots\)
936.2.g.d	$936$	$2$	936.g	8.b	$2$	$8$	$8$	$7.474$	\(\Q(\zeta_{20})\)	$_{}$	None	None					312.2.g.a	$2$	$0$	\(-2\)	\(0\)	\(0\)	\(4\)		$2^{4}$	$\mathrm{SU}(2)[C_{2}]$	\(q+\zeta_{20}^{6}q^{2}-\zeta_{20}q^{4}+(1+\zeta_{20}^{2}-\zeta_{20}^{3}+\cdots)q^{5}+\cdots\)
936.2.g.e	$936$	$2$	936.g	8.b	$2$	$16$	$16$	$7.474$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None					312.2.g.b	$2$	$0$	\(-2\)	\(0\)	\(0\)	\(4\)		$2^{7}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{10}q^{2}-\beta _{2}q^{4}-\beta _{14}q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots\)
936.2.g.f	$936$	$2$	936.g	8.b	$2$	$24$	$24$	$7.474$		$_{}$	None	None		✓	✓		936.2.g.f	$4$	$0$	\(0\)	\(0\)	\(0\)	\(-8\)			$\mathrm{SU}(2)[C_{2}]$
936.2.h.a	$936$	$2$	936.h	312.h	$2$	$56$	$56$	$7.474$		$_{}$	None	None		✓	✓	✓	936.2.h.a	$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
936.2.j.a	$936$	$2$	936.j	24.f	$2$	$48$	$48$	$7.474$		$_{}$	None	None		✓	✓	✓	936.2.j.a	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
936.2.m.a	$936$	$2$	936.m	104.e	$2$	$2$	$2$	$7.474$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None					312.2.m.a	$2$	$0$	\(-2\)	\(0\)	\(-4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1+i)q^{2}-2iq^{4}-2q^{5}+(2+2i)q^{8}+\cdots\)
936.2.m.b	$936$	$2$	936.m	104.e	$2$	$2$	$2$	$7.474$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None					104.2.e.a	$2$	$0$	\(-2\)	\(0\)	\(2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(-1+i)q^{2}-2iq^{4}+q^{5}+3iq^{7}+\cdots\)
936.2.m.c	$936$	$2$	936.m	104.e	$2$	$2$	$2$	$7.474$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None					104.2.e.a	$2$	$0$	\(2\)	\(0\)	\(-2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(1-i)q^{2}-2iq^{4}-q^{5}-3iq^{7}+\cdots\)
936.2.m.d	$936$	$2$	936.m	104.e	$2$	$2$	$2$	$7.474$	\(\Q(\sqrt{-1}) \)	$_{}$	None	None					312.2.m.a	$2$	$0$	\(2\)	\(0\)	\(4\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+(1-i)q^{2}-2iq^{4}+2q^{5}+(-2-2i)q^{8}+\cdots\)
936.2.m.e	$936$	$2$	936.m	104.e	$2$	$4$	$4$	$7.474$	\(\Q(\sqrt{-2}, \sqrt{13})\)	$_{}$	\(\Q(\sqrt{-78}) \)	None		✓			936.2.m.e	$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{2}$	$\mathrm{U}(1)[D_{2}]$	\(q+\beta _{2}q^{2}-2q^{4}-2\beta _{2}q^{8}-\beta _{3}q^{13}+\cdots\)
936.2.m.f	$936$	$2$	936.m	104.e	$2$	$8$	$8$	$7.474$	8.0.4521217600.1	$_{}$	None	None					104.2.e.c	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{3}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{1}q^{2}+\beta _{2}q^{4}-\beta _{6}q^{5}+(\beta _{1}-\beta _{4}+\cdots)q^{7}+\cdots\)
936.2.m.g	$936$	$2$	936.m	104.e	$2$	$8$	$8$	$7.474$	8.0.\(\cdots\).21	$_{}$	\(\Q(\sqrt{-39}) \)	None		✓			936.2.m.g	$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2$	$\mathrm{U}(1)[D_{2}]$	\(q-\beta _{5}q^{2}+(-\beta _{2}-\beta _{4})q^{4}+(\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots\)
936.2.m.h	$936$	$2$	936.m	104.e	$2$	$16$	$16$	$7.474$	\(\mathbb{Q}[x]/(x^{16} + \cdots)\)	$_{}$	None	None		✓			936.2.m.h	$8$	$0$	\(0\)	\(0\)	\(0\)	\(0\)		$2^{14}$	$\mathrm{SU}(2)[C_{2}]$	\(q-\beta _{10}q^{2}+\beta _{3}q^{4}+\beta _{14}q^{5}-\beta _{5}q^{7}+\cdots\)
936.2.m.i	$936$	$2$	936.m	104.e	$2$	$24$	$24$	$7.474$		$_{}$	None	None			✓		312.2.m.c	$4$	$0$	\(0\)	\(0\)	\(0\)	\(0\)			$\mathrm{SU}(2)[C_{2}]$
936.2.q.a	$936$	$2$	936.q	9.c	$3$	$2$	$1$	$7.474$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		✓			936.2.q.a	$2$	$0$	\(0\)	\(-3\)	\(4\)	\(-2\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1-\zeta_{6})q^{3}+4\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+\cdots\)
936.2.q.b	$936$	$2$	936.q	9.c	$3$	$2$	$1$	$7.474$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		✓			936.2.q.b	$2$	$0$	\(0\)	\(3\)	\(-2\)	\(2\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(1+\zeta_{6})q^{3}-2\zeta_{6}q^{5}+(2-2\zeta_{6})q^{7}+\cdots\)
936.2.q.c	$936$	$2$	936.q	9.c	$3$	$2$	$1$	$7.474$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		✓			936.2.q.c	$2$	$0$	\(0\)	\(3\)	\(-2\)	\(4\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(2-\zeta_{6})q^{3}-2\zeta_{6}q^{5}+(4-4\zeta_{6})q^{7}+\cdots\)
936.2.q.d	$936$	$2$	936.q	9.c	$3$	$12$	$6$	$7.474$	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	$_{}$	None	None		✓			936.2.q.d	$2$	$0$	\(0\)	\(-4\)	\(-1\)	\(2\)		$3^{2}$	$\mathrm{SU}(2)[C_{3}]$	\(q+\beta _{5}q^{3}+(\beta _{2}-\beta _{11})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
936.2.q.e	$936$	$2$	936.q	9.c	$3$	$16$	$8$	$7.474$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None		✓			936.2.q.e	$2$	$0$	\(0\)	\(-1\)	\(-1\)	\(-4\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-\beta _{1}q^{3}+(-\beta _{5}-\beta _{9}+\beta _{11})q^{5}-\beta _{14}q^{7}+\cdots\)
936.2.q.f	$936$	$2$	936.q	9.c	$3$	$16$	$8$	$7.474$	\(\mathbb{Q}[x]/(x^{16} - \cdots)\)	$_{}$	None	None		✓			936.2.q.f	$2$	$0$	\(0\)	\(0\)	\(1\)	\(2\)		$3$	$\mathrm{SU}(2)[C_{3}]$	\(q+\beta _{1}q^{3}+(\beta _{6}-\beta _{11})q^{5}-\beta _{5}q^{7}+(-\beta _{2}+\cdots)q^{9}+\cdots\)
936.2.q.g	$936$	$2$	936.q	9.c	$3$	$22$	$11$	$7.474$		$_{}$	None	None		✓	✓		936.2.q.g	$2$	$0$	\(0\)	\(0\)	\(-3\)	\(-4\)			$\mathrm{SU}(2)[C_{3}]$
936.2.r.a	$936$	$2$	936.r	117.h	$3$	$2$	$1$	$7.474$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		✓			936.2.r.a	$2$	$1$	\(0\)	\(-3\)	\(-3\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-2+\zeta_{6})q^{3}+(-3+3\zeta_{6})q^{5}+(3+\cdots)q^{9}+\cdots\)
936.2.r.b	$936$	$2$	936.r	117.h	$3$	$2$	$1$	$7.474$	\(\Q(\sqrt{-3}) \)	$_{}$	None	None		✓			936.2.r.b	$2$	$1$	\(0\)	\(0\)	\(-3\)	\(1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+(-1+2\zeta_{6})q^{3}+(-3+3\zeta_{6})q^{5}+\cdots\)