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Level	Weight	Analytic conductor	$Nk^2$	Dim.

Bad $p$	Char.	Primitive character	Character order	Coefficient field

Self-twists	CM/RM discriminant	Inner twist count	Is self-dual	Analytic rank

Coefficient ring index	Coefficient ring gens.		Projective image	Projective image type
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Results (1-50 of 57 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	Traces				Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
3776.1.c.a	$3776$	$1$	3776.c	472.c	$2$	$2$	$2$	$1.884$	$\Q(\sqrt{-1}) $	$D_{2}$	$\Q(\sqrt{-2}) $, $\Q(\sqrt{-59}) $	$\Q(\sqrt{118}) $		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q-iq^{3}-3q^{9}-q^{17}-iq^{19}+q^{25}+\cdots$
3776.1.c.b	$3776$	$1$	3776.c	472.c	$2$	$4$	$4$	$1.884$	$\Q(\zeta_{12})$	$D_{6}$	$\Q(\sqrt{-59}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$2^{2}$		$q-\zeta_{12}^{3}q^{3}+(-\zeta_{12}^{2}-\zeta_{12}^{4})q^{5}+\cdots$
3776.1.c.c	$3776$	$1$	3776.c	472.c	$2$	$12$	$12$	$1.884$	$\Q(\zeta_{36})$	$D_{18}$	$\Q(\sqrt{-59}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$2^{6}$		$q+(-\zeta_{36}^{5}-\zeta_{36}^{13})q^{3}+(-\zeta_{36}^{2}+\cdots)q^{5}+\cdots$
3776.1.h.a	$3776$	$1$	3776.h	59.b	$2$	$1$	$1$	$1.884$	$\Q$	$D_{3}$	$\Q(\sqrt{-59}) $	None	✓	$2$	$0$	$0$	$-1$	$1$	$1$		$1$		$q-q^{3}+q^{5}+q^{7}-q^{15}+2q^{17}-q^{19}+\cdots$
3776.1.h.b	$3776$	$1$	3776.h	59.b	$2$	$1$	$1$	$1.884$	$\Q$	$D_{3}$	$\Q(\sqrt{-59}) $	None	✓	$2$	$0$	$0$	$1$	$1$	$-1$		$1$		$q+q^{3}+q^{5}-q^{7}+q^{15}+2q^{17}+q^{19}+\cdots$
3776.1.h.c	$3776$	$1$	3776.h	59.b	$2$	$2$	$2$	$1.884$	$\Q(\sqrt{-2}) $	$S_{4}$	None	None		$2$	$0$	$0$	$-2$	$2$	$-2$		$1$		$q-q^{3}+q^{5}-q^{7}-\beta q^{11}-\beta q^{13}+\cdots$
3776.1.h.d	$3776$	$1$	3776.h	59.b	$2$	$2$	$2$	$1.884$	$\Q(\sqrt{-2}) $	$S_{4}$	None	None		$2$	$0$	$0$	$2$	$2$	$2$		$1$		$q+q^{3}+q^{5}+q^{7}-\beta q^{11}+\beta q^{13}+\cdots$
3776.1.h.e	$3776$	$1$	3776.h	59.b	$2$	$3$	$3$	$1.884$	$\Q(\zeta_{18})^+$	$D_{9}$	$\Q(\sqrt{-59}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$		$1$		$q-\beta _{2}q^{3}+\beta _{1}q^{5}+(\beta _{1}-\beta _{2})q^{7}+(1+\cdots)q^{9}+\cdots$
3776.1.h.f	$3776$	$1$	3776.h	59.b	$2$	$3$	$3$	$1.884$	$\Q(\zeta_{18})^+$	$D_{9}$	$\Q(\sqrt{-59}) $	None	✓	$2$	$0$	$0$	$0$	$0$	$0$		$1$		$q+\beta _{2}q^{3}+\beta _{1}q^{5}+(-\beta _{1}+\beta _{2})q^{7}+\cdots$
3776.1.j.a	$3776$	$1$	3776.j	944.j	$4$	$4$	$2$	$1.884$	$\Q(\zeta_{8})$	$S_{4}$	None	None		$4$	$0$	$0$	$0$	$-4$	$0$		$1$		$q+(-1+\zeta_{8}^{2})q^{5}+\zeta_{8}^{2}q^{7}-\zeta_{8}^{2}q^{9}+\cdots$
3776.1.ba.a	$3776$	$1$	3776.ba	472.o	$58$	$56$	$2$	$1.884$	$\Q(\zeta_{116})$	$D_{58}$	$\Q(\sqrt{-2}) $	None		$8$	$0$	$0$	$0$	$0$	$0$		$1$		$q+(-\zeta_{116}^{11}+\zeta_{116}^{53})q^{3}+(\zeta_{116}^{6}+\zeta_{116}^{22}+\cdots)q^{9}+\cdots$
3776.2.a.a	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-3$	$-1$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}-q^{5}+3q^{7}+6q^{9}+3q^{15}+\cdots$
3776.2.a.b	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$2$	$0$	$-3$	$1$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}+q^{5}-3q^{7}+6q^{9}-4q^{11}+\cdots$
3776.2.a.c	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-3$	$3$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q-3q^{3}+3q^{5}+3q^{7}+6q^{9}-6q^{11}+\cdots$
3776.2.a.d	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-2$	$-2$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-2q^{5}-3q^{7}+q^{9}-q^{11}+\cdots$
3776.2.a.e	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-2$	$-2$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}-2q^{5}+q^{7}+q^{9}-q^{11}+q^{13}+\cdots$
3776.2.a.f	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$2$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q-2q^{3}+2q^{5}-3q^{7}+q^{9}+q^{11}+\cdots$
3776.2.a.g	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$2$	$0$	$-1$	$-3$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-3q^{5}-q^{7}-2q^{9}-6q^{11}+\cdots$
3776.2.a.h	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$-1$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}-q^{5}-3q^{7}-2q^{9}+2q^{11}+\cdots$
3776.2.a.i	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}-2q^{9}+2q^{13}-q^{15}+\cdots$
3776.2.a.j	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$1$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}-q^{7}-2q^{9}+4q^{11}-2q^{13}+\cdots$
3776.2.a.k	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$-1$	$1$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+q^{5}+3q^{7}-2q^{9}-2q^{11}+\cdots$
3776.2.a.l	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{5}+q^{7}-2q^{9}-2q^{11}+\cdots$
3776.2.a.m	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$3$	$5$	$-$	$1$	$\mathrm{SU}(2)$	$q-q^{3}+3q^{5}+5q^{7}-2q^{9}+4q^{13}+\cdots$
3776.2.a.n	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$-3$	$1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-3q^{5}+q^{7}-2q^{9}+6q^{11}+\cdots$
3776.2.a.o	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$-1$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}-q^{5}+3q^{7}-2q^{9}-2q^{11}+\cdots$
3776.2.a.p	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$1$	$-3$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}-3q^{7}-2q^{9}+2q^{11}+\cdots$
3776.2.a.q	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}-2q^{9}-4q^{11}-2q^{13}+\cdots$
3776.2.a.r	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$1$	$1$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+q^{5}+q^{7}-2q^{9}+2q^{13}+q^{15}+\cdots$
3776.2.a.s	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$3$	$-5$	$+$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+3q^{5}-5q^{7}-2q^{9}+4q^{13}+\cdots$
3776.2.a.t	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$3$	$-1$	$-$	$1$	$\mathrm{SU}(2)$	$q+q^{3}+3q^{5}-q^{7}-2q^{9}+2q^{11}+\cdots$
3776.2.a.u	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$2$	$-2$	$-1$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-2q^{5}-q^{7}+q^{9}+q^{11}+q^{13}+\cdots$
3776.2.a.v	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$1$	$0$	$2$	$-2$	$3$	$+$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}-2q^{5}+3q^{7}+q^{9}+q^{11}+\cdots$
3776.2.a.w	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$2$	$2$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+2q^{3}+2q^{5}+3q^{7}+q^{9}-q^{11}+\cdots$
3776.2.a.x	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$3$	$-1$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}-q^{5}-3q^{7}+6q^{9}-3q^{15}+\cdots$
3776.2.a.y	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$3$	$1$	$3$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+q^{5}+3q^{7}+6q^{9}+4q^{11}+\cdots$
3776.2.a.z	$3776$	$2$	3776.a	1.a	$1$	$1$	$1$	$30.152$	$\Q$	$_{}$	None	None	✓	$1$	$0$	$0$	$3$	$3$	$-3$	$-$	$1$	$\mathrm{SU}(2)$	$q+3q^{3}+3q^{5}-3q^{7}+6q^{9}+6q^{11}+\cdots$
3776.2.a.ba	$3776$	$2$	3776.a	1.a	$1$	$3$	$3$	$30.152$	$\Q(\zeta_{14})^+$	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$0$	$4$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{2})q^{3}+(1-\beta _{1}+2\beta _{2})q^{5}+\cdots$
3776.2.a.bb	$3776$	$2$	3776.a	1.a	$1$	$3$	$3$	$30.152$	3.3.321.1	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$4$	$-8$	$-$	$1$	$\mathrm{SU}(2)$	$q+(-\beta _{1}-\beta _{2})q^{3}+(1+\beta _{1})q^{5}+(-3+\cdots)q^{7}+\cdots$
3776.2.a.bc	$3776$	$2$	3776.a	1.a	$1$	$3$	$3$	$30.152$	3.3.321.1	$_{}$	None	None	✓	$1$	$0$	$0$	$0$	$4$	$8$	$-$	$1$	$\mathrm{SU}(2)$	$q+(\beta _{1}+\beta _{2})q^{3}+(1+\beta _{1})q^{5}+(3+\beta _{2})q^{7}+\cdots$
3776.2.a.bd	$3776$	$2$	3776.a	1.a	$1$	$3$	$3$	$30.152$	$\Q(\zeta_{14})^+$	$_{}$	None	None	✓	$1$	$1$	$0$	$2$	$0$	$-4$	$+$	$1$	$\mathrm{SU}(2)$	$q+(1-\beta _{1})q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(-3+\cdots)q^{7}+\cdots$
3776.2.a.be	$3776$	$2$	3776.a	1.a	$1$	$4$	$4$	$30.152$	4.4.2777.1	$_{}$	None	None	✓	$1$	$1$	$0$	$-3$	$-5$	$3$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+(-1+\beta _{2})q^{3}+(-1-\beta _{2})q^{5}+(1+\cdots)q^{7}+\cdots$
3776.2.a.bf	$3776$	$2$	3776.a	1.a	$1$	$4$	$4$	$30.152$	4.4.8468.1	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$-1$	$4$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{3}-\beta _{2}q^{5}+q^{7}+(3-\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots$
3776.2.a.bg	$3776$	$2$	3776.a	1.a	$1$	$4$	$4$	$30.152$	4.4.6809.1	$_{}$	None	None	✓	$1$	$0$	$0$	$-1$	$3$	$9$	$-$	$1$	$\mathrm{SU}(2)$	$q+\beta _{3}q^{3}+(1-\beta _{1}+\beta _{3})q^{5}+(2+2\beta _{1}+\cdots)q^{7}+\cdots$
3776.2.a.bh	$3776$	$2$	3776.a	1.a	$1$	$4$	$4$	$30.152$	4.4.8468.1	$_{}$	None	None	✓	$1$	$1$	$0$	$1$	$-1$	$-4$	$+$	$2^{2}$	$\mathrm{SU}(2)$	$q+\beta _{2}q^{3}-\beta _{2}q^{5}-q^{7}+(3-\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots$
3776.2.a.bi	$3776$	$2$	3776.a	1.a	$1$	$4$	$4$	$30.152$	4.4.6809.1	$_{}$	None	None	✓	$1$	$0$	$0$	$1$	$3$	$-9$	$-$	$1$	$\mathrm{SU}(2)$	$q-\beta _{3}q^{3}+(1-\beta _{1}+\beta _{3})q^{5}+(-2-2\beta _{1}+\cdots)q^{7}+\cdots$
3776.2.a.bj	$3776$	$2$	3776.a	1.a	$1$	$4$	$4$	$30.152$	4.4.2777.1	$_{}$	None	None	✓	$1$	$0$	$0$	$3$	$-5$	$-3$	$-$	$2^{2}$	$\mathrm{SU}(2)$	$q+(1-\beta _{2})q^{3}+(-1-\beta _{2})q^{5}+(-1+\cdots)q^{7}+\cdots$
3776.2.a.bk	$3776$	$2$	3776.a	1.a	$1$	$5$	$5$	$30.152$	5.5.791953.1	$_{}$	None	None	✓	$1$	$1$	$0$	$-3$	$-3$	$0$	$+$	$1$	$\mathrm{SU}(2)$	$q+(-1-\beta _{4})q^{3}+(-\beta _{2}+\beta _{3}+\beta _{4})q^{5}+\cdots$
3776.2.a.bl	$3776$	$2$	3776.a	1.a	$1$	$5$	$5$	$30.152$	5.5.138136.1	$_{}$	None	None	✓	$1$	$1$	$0$	$-2$	$-2$	$-2$	$+$	$2$	$\mathrm{SU}(2)$	$q-\beta _{2}q^{3}+\beta _{1}q^{5}+(-1+\beta _{2}-\beta _{3}+\cdots)q^{7}+\cdots$
3776.2.a.bm	$3776$	$2$	3776.a	1.a	$1$	$5$	$5$	$30.152$	5.5.459533.1	$_{}$	None	None	✓	$1$	$0$	$0$	$-2$	$0$	$8$	$-$	$2$	$\mathrm{SU}(2)$	$q+\beta _{4}q^{3}+\beta _{2}q^{5}+(2-\beta _{1})q^{7}+(1-\beta _{2}+\cdots)q^{9}+\cdots$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.