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Results (1-50 of 4377 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
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$
4002.2.a.s	$4002$	$2$	4002.a	1.a	$1$	$2$	$2$	$31.956$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(-2\)	\(-2\)	\(-3\)	\(3\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}+q^{6}+\cdots\)
4002.2.a.t	$4002$	$2$	4002.a	1.a	$1$	$2$	$2$	$31.956$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(-2\)	\(0\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+2\beta q^{5}+q^{6}+\beta q^{7}+\cdots\)
4002.2.a.u	$4002$	$2$	4002.a	1.a	$1$	$2$	$2$	$31.956$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(1\)	\(1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}+\beta q^{7}+\cdots\)
4002.2.a.v	$4002$	$2$	4002.a	1.a	$1$	$2$	$2$	$31.956$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(-3\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots\)
4002.2.a.w	$4002$	$2$	4002.a	1.a	$1$	$2$	$2$	$31.956$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(6\)	\(6\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}+3q^{7}+\cdots\)
4002.2.a.x	$4002$	$2$	4002.a	1.a	$1$	$2$	$2$	$31.956$	\(\Q(\sqrt{6}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(8\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{3}+q^{4}+4q^{5}+q^{6}+(2-\beta )q^{7}+\cdots\)
4003.2.a.a	$4003$	$2$	4003.a	1.a	$1$	$2$	$2$	$31.964$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(0\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+\beta q^{3}+\beta q^{5}+2q^{6}-q^{7}+\cdots\)
4004.2.m.a	$4004$	$2$	4004.m	13.b	$2$	$2$	$2$	$31.972$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(4\)	\(0\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+2q^{3}+iq^{5}+iq^{7}+q^{9}-iq^{11}+\cdots\)
4005.2.a.e	$4005$	$2$	4005.a	1.a	$1$	$2$	$2$	$31.980$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(-2\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}+(1-2\beta )q^{4}-q^{5}-\beta q^{7}+\cdots\)
4005.2.a.f	$4005$	$2$	4005.a	1.a	$1$	$2$	$2$	$31.980$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{4}-q^{5}+(-1+\beta )q^{7}-\beta q^{8}+\cdots\)
4005.2.a.g	$4005$	$2$	4005.a	1.a	$1$	$2$	$2$	$31.980$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(1\)	\(0\)	\(-2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+(2+\beta )q^{4}-q^{5}+(4+\beta )q^{8}+\cdots\)
4005.2.a.h	$4005$	$2$	4005.a	1.a	$1$	$2$	$2$	$31.980$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(2\)	\(2\)	$-$	$2$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{4}+q^{5}+(1+\beta )q^{7}-3q^{8}+\cdots\)
4006.2.a.d	$4006$	$2$	4006.a	1.a	$1$	$2$	$2$	$31.988$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(-4\)	\(2\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-2+\beta )q^{3}+q^{4}+q^{5}+(-2+\cdots)q^{6}+\cdots\)
4006.2.a.e	$4006$	$2$	4006.a	1.a	$1$	$2$	$2$	$31.988$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(0\)	\(-2\)	\(-4\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}-q^{5}+\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
4010.2.a.g	$4010$	$2$	4010.a	1.a	$1$	$2$	$2$	$32.020$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(2\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}+q^{5}-\beta q^{6}+2\beta q^{7}+\cdots\)
4012.2.a.d	$4012$	$2$	4012.a	1.a	$1$	$2$	$2$	$32.036$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(3\)	\(-6\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-2\beta q^{3}+(2-\beta )q^{5}-3q^{7}+(1+4\beta )q^{9}+\cdots\)
4012.2.a.e	$4012$	$2$	4012.a	1.a	$1$	$2$	$2$	$32.036$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(0\)	\(0\)	\(-2\)	\(0\)	$+$	$2$	$\mathrm{SU}(2)$	\(q-\beta q^{3}-q^{5}+\beta q^{7}+2q^{9}-2\beta q^{11}+\cdots\)
4014.2.a.j	$4014$	$2$	4014.a	1.a	$1$	$2$	$2$	$32.052$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(-2\)	\(0\)	\(0\)	\(-2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{4}-2\beta q^{7}-q^{8}+(-5+\beta )q^{11}+\cdots\)
4014.2.a.k	$4014$	$2$	4014.a	1.a	$1$	$2$	$2$	$32.052$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(-2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-2\beta q^{5}+q^{8}-2\beta q^{10}+\cdots\)
4014.2.a.l	$4014$	$2$	4014.a	1.a	$1$	$2$	$2$	$32.052$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+q^{4}-2\beta q^{7}+q^{8}+(5-\beta )q^{11}+\cdots\)
4016.2.a.a	$4016$	$2$	4016.a	1.a	$1$	$2$	$2$	$32.068$	\(\Q(\sqrt{13}) \)	None	✓	$1$	$1$	\(0\)	\(-2\)	\(5\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{3}+(2+\beta )q^{5}+q^{7}-2q^{9}-3q^{11}+\cdots\)
4016.2.a.b	$4016$	$2$	4016.a	1.a	$1$	$2$	$2$	$32.068$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(0\)	\(2\)	\(-3\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{3}+(-2+\beta )q^{5}+(1+2\beta )q^{7}-2q^{9}+\cdots\)
4017.2.a.d	$4017$	$2$	4017.a	1.a	$1$	$2$	$2$	$32.076$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(-4\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}+(-2+\cdots)q^{5}+\cdots\)
4018.2.a.t	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(-2\)	\(-2\)	\(0\)	\(0\)	$+$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}-q^{8}+\cdots\)
4018.2.a.u	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(-2\)	\(-1\)	\(1\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}-\beta q^{3}+q^{4}+\beta q^{5}+\beta q^{6}-q^{8}+\cdots\)
4018.2.a.v	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{33}) \)	None	✓	$1$	$1$	\(-2\)	\(1\)	\(-1\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{5}-\beta q^{6}-q^{8}+\cdots\)
4018.2.a.w	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(0\)	\(0\)	$-$	$2$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}-q^{8}+\cdots\)
4018.2.a.x	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{3}) \)	None	✓	$1$	$1$	\(2\)	\(-4\)	\(-2\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-2q^{3}+q^{4}+(-1-\beta )q^{5}-2q^{6}+\cdots\)
4018.2.a.y	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(-2\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+2\beta )q^{5}+\cdots\)
4018.2.a.z	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(2\)	\(0\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(-1+\beta )q^{3}+q^{4}+q^{5}+(-1+\cdots)q^{6}+\cdots\)
4018.2.a.ba	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(0\)	\(0\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+\beta q^{3}+q^{4}-2\beta q^{5}+\beta q^{6}+\cdots\)
4018.2.a.bb	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(-2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1+\beta )q^{3}+q^{4}-q^{5}+(1+\beta )q^{6}+\cdots\)
4018.2.a.bc	$4018$	$2$	4018.a	1.a	$1$	$2$	$2$	$32.084$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(2\)	\(2\)	\(2\)	\(0\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}+(1+\beta )q^{3}+q^{4}+(1+2\beta )q^{5}+\cdots\)
4020.2.g.a	$4020$	$2$	4020.g	5.b	$2$	$2$	$2$	$32.100$	\(\Q(\sqrt{-1}) \)	None		$2$	$0$	\(0\)	\(0\)	\(2\)	\(0\)		$1$	$\mathrm{SU}(2)[C_{2}]$	\(q+iq^{3}+(1-2i)q^{5}-q^{9}+2iq^{13}+\cdots\)
4020.2.q.a	$4020$	$2$	4020.q	67.c	$3$	$2$	$1$	$32.100$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(0\)	\(-2\)	\(2\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-q^{3}+q^{5}-3\zeta_{6}q^{7}+q^{9}-5\zeta_{6}q^{11}+\cdots\)
4020.2.q.b	$4020$	$2$	4020.q	67.c	$3$	$2$	$1$	$32.100$	\(\Q(\sqrt{-3}) \)	None		$2$	$1$	\(0\)	\(-2\)	\(2\)	\(-3\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-q^{3}+q^{5}-3\zeta_{6}q^{7}+q^{9}+5\zeta_{6}q^{11}+\cdots\)
4020.2.q.c	$4020$	$2$	4020.q	67.c	$3$	$2$	$1$	$32.100$	\(\Q(\sqrt{-3}) \)	None		$2$	$1$	\(0\)	\(-2\)	\(2\)	\(1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-q^{3}+q^{5}+\zeta_{6}q^{7}+q^{9}-3\zeta_{6}q^{11}+\cdots\)
4020.2.q.d	$4020$	$2$	4020.q	67.c	$3$	$2$	$1$	$32.100$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(0\)	\(-2\)	\(2\)	\(1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q-q^{3}+q^{5}+\zeta_{6}q^{7}+q^{9}+\zeta_{6}q^{11}+\cdots\)
4020.2.q.e	$4020$	$2$	4020.q	67.c	$3$	$2$	$1$	$32.100$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(0\)	\(2\)	\(-2\)	\(-1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+q^{3}-q^{5}-\zeta_{6}q^{7}+q^{9}-3\zeta_{6}q^{11}+\cdots\)
4020.2.q.f	$4020$	$2$	4020.q	67.c	$3$	$2$	$1$	$32.100$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(0\)	\(2\)	\(-2\)	\(-1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+q^{3}-q^{5}-\zeta_{6}q^{7}+q^{9}+\zeta_{6}q^{11}+\cdots\)
4020.2.q.g	$4020$	$2$	4020.q	67.c	$3$	$2$	$1$	$32.100$	\(\Q(\sqrt{-3}) \)	None		$2$	$0$	\(0\)	\(2\)	\(-2\)	\(-1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+q^{3}-q^{5}-\zeta_{6}q^{7}+q^{9}+5\zeta_{6}q^{11}+\cdots\)
4020.2.q.h	$4020$	$2$	4020.q	67.c	$3$	$2$	$1$	$32.100$	\(\Q(\sqrt{-3}) \)	None		$2$	$1$	\(0\)	\(2\)	\(-2\)	\(1\)		$1$	$\mathrm{SU}(2)[C_{3}]$	\(q+q^{3}-q^{5}+\zeta_{6}q^{7}+q^{9}-3\zeta_{6}q^{11}+\cdots\)
4025.2.a.h	$4025$	$2$	4025.a	1.a	$1$	$2$	$2$	$32.140$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-3\)	\(0\)	\(0\)	\(2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+(-1-\beta )q^{2}+(-1+2\beta )q^{3}+3\beta q^{4}+\cdots\)
4025.2.a.i	$4025$	$2$	4025.a	1.a	$1$	$2$	$2$	$32.140$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(1\)	\(2\)	\(0\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
4026.2.a.k	$4026$	$2$	4026.a	1.a	$1$	$2$	$2$	$32.148$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(-6\)	\(4\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+q^{3}+q^{4}+(-3+\beta )q^{5}-q^{6}+\cdots\)
4026.2.a.l	$4026$	$2$	4026.a	1.a	$1$	$2$	$2$	$32.148$	\(\Q(\sqrt{17}) \)	None	✓	$1$	$0$	\(2\)	\(-2\)	\(-3\)	\(-2\)	$-$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots\)
4026.2.a.m	$4026$	$2$	4026.a	1.a	$1$	$2$	$2$	$32.148$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$1$	\(2\)	\(-2\)	\(-2\)	\(-1\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+q^{2}-q^{3}+q^{4}-2\beta q^{5}-q^{6}+(-1+\cdots)q^{7}+\cdots\)
4027.2.a.a	$4027$	$2$	4027.a	1.a	$1$	$2$	$2$	$32.156$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$2$	\(-1\)	\(-2\)	\(-2\)	\(-7\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-\beta q^{2}+(-2+2\beta )q^{3}+(-1+\beta )q^{4}+\cdots\)
4029.2.a.c	$4029$	$2$	4029.a	1.a	$1$	$2$	$2$	$32.172$	\(\Q(\sqrt{2}) \)	None	✓	$1$	$1$	\(0\)	\(2\)	\(-2\)	\(2\)	$+$	$1$	$\mathrm{SU}(2)$	\(q+\beta q^{2}+q^{3}+(-1+\beta )q^{5}+\beta q^{6}+\cdots\)
4030.2.a.b	$4030$	$2$	4030.a	1.a	$1$	$2$	$2$	$32.180$	\(\Q(\sqrt{5}) \)	None	✓	$1$	$0$	\(-2\)	\(2\)	\(-2\)	\(-1\)	$-$	$1$	$\mathrm{SU}(2)$	\(q-q^{2}+2\beta q^{3}+q^{4}-q^{5}-2\beta q^{6}+\cdots\)