LMFDB - Newform search results

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Level	Weight	Analytic conductor	$Nk^2$	Dim.

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

Self-twist	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 (displaying matches 1-50 of 84) Next

Label	Dim.	$A$	Field	CM	Traces				Fricke sign	$q$-expansion
Label	Dim.	$A$	Field	CM	$a_2$	$a_3$	$a_5$	$a_7$	Fricke sign	$q$-expansion
5376.2.a.a	$1$	$42.928$	$\Q$	None	$0$	$-1$	$-2$	$-1$	$-$	$q-q^{3}-2q^{5}-q^{7}+q^{9}-2q^{11}-6q^{13}+\cdots$
5376.2.a.b	$1$	$42.928$	$\Q$	None	$0$	$-1$	$-2$	$1$	$-$	$q-q^{3}-2q^{5}+q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots$
5376.2.a.c	$1$	$42.928$	$\Q$	None	$0$	$-1$	$0$	$-1$	$+$	$q-q^{3}-q^{7}+q^{9}-2q^{17}+4q^{19}+\cdots$
5376.2.a.d	$1$	$42.928$	$\Q$	None	$0$	$-1$	$0$	$1$	$+$	$q-q^{3}+q^{7}+q^{9}-2q^{17}+4q^{19}+\cdots$
5376.2.a.e	$1$	$42.928$	$\Q$	None	$0$	$-1$	$2$	$-1$	$+$	$q-q^{3}+2q^{5}-q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots$
5376.2.a.f	$1$	$42.928$	$\Q$	None	$0$	$-1$	$2$	$1$	$+$	$q-q^{3}+2q^{5}+q^{7}+q^{9}-2q^{11}+6q^{13}+\cdots$
5376.2.a.g	$1$	$42.928$	$\Q$	None	$0$	$1$	$-2$	$-1$	$+$	$q+q^{3}-2q^{5}-q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots$
5376.2.a.h	$1$	$42.928$	$\Q$	None	$0$	$1$	$-2$	$1$	$+$	$q+q^{3}-2q^{5}+q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots$
5376.2.a.i	$1$	$42.928$	$\Q$	None	$0$	$1$	$0$	$-1$	$+$	$q+q^{3}-q^{7}+q^{9}-2q^{17}-4q^{19}+\cdots$
5376.2.a.j	$1$	$42.928$	$\Q$	None	$0$	$1$	$0$	$1$	$+$	$q+q^{3}+q^{7}+q^{9}-2q^{17}-4q^{19}+\cdots$
5376.2.a.k	$1$	$42.928$	$\Q$	None	$0$	$1$	$2$	$-1$	$-$	$q+q^{3}+2q^{5}-q^{7}+q^{9}+2q^{11}+6q^{13}+\cdots$
5376.2.a.l	$1$	$42.928$	$\Q$	None	$0$	$1$	$2$	$1$	$-$	$q+q^{3}+2q^{5}+q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots$
5376.2.a.m	$2$	$42.928$	$\Q(\sqrt{2}) $	None	$0$	$-2$	$-4$	$-2$	$+$	$q-q^{3}+(-2+\beta )q^{5}-q^{7}+q^{9}+\beta q^{11}+\cdots$
5376.2.a.n	$2$	$42.928$	$\Q(\sqrt{3}) $	None	$0$	$-2$	$-2$	$-2$	$+$	$q-q^{3}+(-1+\beta )q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$
5376.2.a.o	$2$	$42.928$	$\Q(\sqrt{3}) $	None	$0$	$-2$	$-2$	$-2$	$-$	$q-q^{3}+(-1+\beta )q^{5}-q^{7}+q^{9}+(3+\cdots)q^{11}+\cdots$
5376.2.a.p	$2$	$42.928$	$\Q(\sqrt{3}) $	None	$0$	$-2$	$-2$	$2$	$+$	$q-q^{3}+(-1+\beta )q^{5}+q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots$
5376.2.a.q	$2$	$42.928$	$\Q(\sqrt{6}) $	None	$0$	$-2$	$0$	$-2$	$-$	$q-q^{3}+\beta q^{5}-q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots$
5376.2.a.r	$2$	$42.928$	$\Q(\sqrt{6}) $	None	$0$	$-2$	$0$	$2$	$-$	$q-q^{3}+\beta q^{5}+q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots$
5376.2.a.s	$2$	$42.928$	$\Q(\sqrt{3}) $	None	$0$	$-2$	$2$	$-2$	$-$	$q-q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(1+3\beta )q^{11}+\cdots$
5376.2.a.t	$2$	$42.928$	$\Q(\sqrt{3}) $	None	$0$	$-2$	$2$	$2$	$-$	$q-q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$
5376.2.a.u	$2$	$42.928$	$\Q(\sqrt{3}) $	None	$0$	$-2$	$2$	$2$	$-$	$q-q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+(3+\beta )q^{11}+\cdots$
5376.2.a.v	$2$	$42.928$	$\Q(\sqrt{2}) $	None	$0$	$-2$	$4$	$2$	$-$	$q-q^{3}+(2+\beta )q^{5}+q^{7}+q^{9}-\beta q^{11}+\cdots$
5376.2.a.w	$2$	$42.928$	$\Q(\sqrt{2}) $	None	$0$	$2$	$-4$	$2$	$+$	$q+q^{3}+(-2+\beta )q^{5}+q^{7}+q^{9}-\beta q^{11}+\cdots$
5376.2.a.x	$2$	$42.928$	$\Q(\sqrt{3}) $	None	$0$	$2$	$-2$	$-2$	$-$	$q+q^{3}+(-1+\beta )q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$
5376.2.a.y	$2$	$42.928$	$\Q(\sqrt{3}) $	None	$0$	$2$	$-2$	$2$	$+$	$q+q^{3}+(-1+\beta )q^{5}+q^{7}+q^{9}+(-3+\cdots)q^{11}+\cdots$
5376.2.a.z	$2$	$42.928$	$\Q(\sqrt{3}) $	None	$0$	$2$	$-2$	$2$	$-$	$q+q^{3}+(-1+\beta )q^{5}+q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots$
5376.2.a.ba	$2$	$42.928$	$\Q(\sqrt{6}) $	None	$0$	$2$	$0$	$-2$	$-$	$q+q^{3}+\beta q^{5}-q^{7}+q^{9}+(2+\beta )q^{11}+\cdots$
5376.2.a.bb	$2$	$42.928$	$\Q(\sqrt{6}) $	None	$0$	$2$	$0$	$2$	$-$	$q+q^{3}+\beta q^{5}+q^{7}+q^{9}+(2-\beta )q^{11}+\cdots$
5376.2.a.bc	$2$	$42.928$	$\Q(\sqrt{3}) $	None	$0$	$2$	$2$	$-2$	$+$	$q+q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(-3+\cdots)q^{11}+\cdots$
5376.2.a.bd	$2$	$42.928$	$\Q(\sqrt{3}) $	None	$0$	$2$	$2$	$-2$	$+$	$q+q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(1-\beta )q^{11}+\cdots$
5376.2.a.be	$2$	$42.928$	$\Q(\sqrt{3}) $	None	$0$	$2$	$2$	$2$	$+$	$q+q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$
5376.2.a.bf	$2$	$42.928$	$\Q(\sqrt{2}) $	None	$0$	$2$	$4$	$-2$	$-$	$q+q^{3}+(2+\beta )q^{5}-q^{7}+q^{9}+\beta q^{11}+\cdots$
5376.2.a.bg	$3$	$42.928$	3.3.1016.1	None	$0$	$-3$	$0$	$-3$	$-$	$q-q^{3}+\beta _{2}q^{5}-q^{7}+q^{9}+(1-\beta _{1}+\cdots)q^{11}+\cdots$
5376.2.a.bh	$3$	$42.928$	3.3.1016.1	None	$0$	$-3$	$0$	$3$	$-$	$q-q^{3}-\beta _{2}q^{5}+q^{7}+q^{9}+(1-\beta _{1}+\cdots)q^{11}+\cdots$
5376.2.a.bi	$3$	$42.928$	3.3.1016.1	None	$0$	$3$	$0$	$-3$	$-$	$q+q^{3}-\beta _{2}q^{5}-q^{7}+q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots$
5376.2.a.bj	$3$	$42.928$	3.3.1016.1	None	$0$	$3$	$0$	$3$	$-$	$q+q^{3}+\beta _{2}q^{5}+q^{7}+q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots$
5376.2.a.bk	$4$	$42.928$	4.4.7232.1	None	$0$	$-4$	$-4$	$4$	$+$	$q-q^{3}+(-1-\beta _{1})q^{5}+q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots$
5376.2.a.bl	$4$	$42.928$	4.4.19664.1	None	$0$	$-4$	$-2$	$4$	$+$	$q-q^{3}+(-1-\beta _{3})q^{5}+q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots$
5376.2.a.bm	$4$	$42.928$	4.4.19664.1	None	$0$	$-4$	$2$	$-4$	$+$	$q-q^{3}+(1+\beta _{3})q^{5}-q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots$
5376.2.a.bn	$4$	$42.928$	4.4.7232.1	None	$0$	$-4$	$4$	$-4$	$-$	$q-q^{3}+(1+\beta _{1})q^{5}-q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots$
5376.2.a.bo	$4$	$42.928$	4.4.7232.1	None	$0$	$4$	$-4$	$-4$	$+$	$q+q^{3}+(-1-\beta _{1})q^{5}-q^{7}+q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots$
5376.2.a.bp	$4$	$42.928$	4.4.19664.1	None	$0$	$4$	$-2$	$-4$	$-$	$q+q^{3}+(-1-\beta _{3})q^{5}-q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots$
5376.2.a.bq	$4$	$42.928$	4.4.19664.1	None	$0$	$4$	$2$	$4$	$-$	$q+q^{3}+(1+\beta _{3})q^{5}+q^{7}+q^{9}+(2+\beta _{2}+\cdots)q^{11}+\cdots$
5376.2.a.br	$4$	$42.928$	4.4.7232.1	None	$0$	$4$	$4$	$4$	$-$	$q+q^{3}+(1+\beta _{1})q^{5}+q^{7}+q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots$
5376.2.c.a	$2$	$42.928$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$0$	$-2$		$q+iq^{3}+4iq^{5}-q^{7}-q^{9}-6iq^{11}+\cdots$
5376.2.c.b	$2$	$42.928$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$0$	$-2$		$q+iq^{3}+4iq^{5}-q^{7}-q^{9}+2iq^{11}+\cdots$
5376.2.c.c	$2$	$42.928$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$0$	$-2$		$q+iq^{3}+2iq^{5}-q^{7}-q^{9}+4iq^{11}+\cdots$
5376.2.c.d	$2$	$42.928$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$0$	$-2$		$q+iq^{3}+2iq^{5}-q^{7}-q^{9}-6iq^{13}+\cdots$
5376.2.c.e	$2$	$42.928$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$0$	$-2$		$q+iq^{3}+2iq^{5}-q^{7}-q^{9}-4iq^{11}+\cdots$
5376.2.c.f	$2$	$42.928$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$0$	$-2$		$q+iq^{3}+2iq^{5}-q^{7}-q^{9}+2iq^{13}+\cdots$

Introduction	Features
Universe	News

Label	Dim.	\(A\)	Field	CM	Traces				Fricke sign	$q$-expansion
Label	Dim.	\(A\)	Field	CM	\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)	Fricke sign	$q$-expansion
5376.2.a.a	\(1\)	\(42.928\)	\(\Q\)	None	\(0\)	\(-1\)	\(-2\)	\(-1\)	\(-\)	\(q-q^{3}-2q^{5}-q^{7}+q^{9}-2q^{11}-6q^{13}+\cdots\)
5376.2.a.b	\(1\)	\(42.928\)	\(\Q\)	None	\(0\)	\(-1\)	\(-2\)	\(1\)	\(-\)	\(q-q^{3}-2q^{5}+q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
5376.2.a.c	\(1\)	\(42.928\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(-1\)	\(+\)	\(q-q^{3}-q^{7}+q^{9}-2q^{17}+4q^{19}+\cdots\)
5376.2.a.d	\(1\)	\(42.928\)	\(\Q\)	None	\(0\)	\(-1\)	\(0\)	\(1\)	\(+\)	\(q-q^{3}+q^{7}+q^{9}-2q^{17}+4q^{19}+\cdots\)
5376.2.a.e	\(1\)	\(42.928\)	\(\Q\)	None	\(0\)	\(-1\)	\(2\)	\(-1\)	\(+\)	\(q-q^{3}+2q^{5}-q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
5376.2.a.f	\(1\)	\(42.928\)	\(\Q\)	None	\(0\)	\(-1\)	\(2\)	\(1\)	\(+\)	\(q-q^{3}+2q^{5}+q^{7}+q^{9}-2q^{11}+6q^{13}+\cdots\)
5376.2.a.g	\(1\)	\(42.928\)	\(\Q\)	None	\(0\)	\(1\)	\(-2\)	\(-1\)	\(+\)	\(q+q^{3}-2q^{5}-q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots\)
5376.2.a.h	\(1\)	\(42.928\)	\(\Q\)	None	\(0\)	\(1\)	\(-2\)	\(1\)	\(+\)	\(q+q^{3}-2q^{5}+q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots\)
5376.2.a.i	\(1\)	\(42.928\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(-1\)	\(+\)	\(q+q^{3}-q^{7}+q^{9}-2q^{17}-4q^{19}+\cdots\)
5376.2.a.j	\(1\)	\(42.928\)	\(\Q\)	None	\(0\)	\(1\)	\(0\)	\(1\)	\(+\)	\(q+q^{3}+q^{7}+q^{9}-2q^{17}-4q^{19}+\cdots\)
5376.2.a.k	\(1\)	\(42.928\)	\(\Q\)	None	\(0\)	\(1\)	\(2\)	\(-1\)	\(-\)	\(q+q^{3}+2q^{5}-q^{7}+q^{9}+2q^{11}+6q^{13}+\cdots\)
5376.2.a.l	\(1\)	\(42.928\)	\(\Q\)	None	\(0\)	\(1\)	\(2\)	\(1\)	\(-\)	\(q+q^{3}+2q^{5}+q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
5376.2.a.m	\(2\)	\(42.928\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(-2\)	\(-4\)	\(-2\)	\(+\)	\(q-q^{3}+(-2+\beta )q^{5}-q^{7}+q^{9}+\beta q^{11}+\cdots\)
5376.2.a.n	\(2\)	\(42.928\)	\(\Q(\sqrt{3}) \)	None	\(0\)	\(-2\)	\(-2\)	\(-2\)	\(+\)	\(q-q^{3}+(-1+\beta )q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
5376.2.a.o	\(2\)	\(42.928\)	\(\Q(\sqrt{3}) \)	None	\(0\)	\(-2\)	\(-2\)	\(-2\)	\(-\)	\(q-q^{3}+(-1+\beta )q^{5}-q^{7}+q^{9}+(3+\cdots)q^{11}+\cdots\)
5376.2.a.p	\(2\)	\(42.928\)	\(\Q(\sqrt{3}) \)	None	\(0\)	\(-2\)	\(-2\)	\(2\)	\(+\)	\(q-q^{3}+(-1+\beta )q^{5}+q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
5376.2.a.q	\(2\)	\(42.928\)	\(\Q(\sqrt{6}) \)	None	\(0\)	\(-2\)	\(0\)	\(-2\)	\(-\)	\(q-q^{3}+\beta q^{5}-q^{7}+q^{9}+(-2+\beta )q^{11}+\cdots\)
5376.2.a.r	\(2\)	\(42.928\)	\(\Q(\sqrt{6}) \)	None	\(0\)	\(-2\)	\(0\)	\(2\)	\(-\)	\(q-q^{3}+\beta q^{5}+q^{7}+q^{9}+(-2-\beta )q^{11}+\cdots\)
5376.2.a.s	\(2\)	\(42.928\)	\(\Q(\sqrt{3}) \)	None	\(0\)	\(-2\)	\(2\)	\(-2\)	\(-\)	\(q-q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(1+3\beta )q^{11}+\cdots\)
5376.2.a.t	\(2\)	\(42.928\)	\(\Q(\sqrt{3}) \)	None	\(0\)	\(-2\)	\(2\)	\(2\)	\(-\)	\(q-q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
5376.2.a.u	\(2\)	\(42.928\)	\(\Q(\sqrt{3}) \)	None	\(0\)	\(-2\)	\(2\)	\(2\)	\(-\)	\(q-q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+(3+\beta )q^{11}+\cdots\)
5376.2.a.v	\(2\)	\(42.928\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(-2\)	\(4\)	\(2\)	\(-\)	\(q-q^{3}+(2+\beta )q^{5}+q^{7}+q^{9}-\beta q^{11}+\cdots\)
5376.2.a.w	\(2\)	\(42.928\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(2\)	\(-4\)	\(2\)	\(+\)	\(q+q^{3}+(-2+\beta )q^{5}+q^{7}+q^{9}-\beta q^{11}+\cdots\)
5376.2.a.x	\(2\)	\(42.928\)	\(\Q(\sqrt{3}) \)	None	\(0\)	\(2\)	\(-2\)	\(-2\)	\(-\)	\(q+q^{3}+(-1+\beta )q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
5376.2.a.y	\(2\)	\(42.928\)	\(\Q(\sqrt{3}) \)	None	\(0\)	\(2\)	\(-2\)	\(2\)	\(+\)	\(q+q^{3}+(-1+\beta )q^{5}+q^{7}+q^{9}+(-3+\cdots)q^{11}+\cdots\)
5376.2.a.z	\(2\)	\(42.928\)	\(\Q(\sqrt{3}) \)	None	\(0\)	\(2\)	\(-2\)	\(2\)	\(-\)	\(q+q^{3}+(-1+\beta )q^{5}+q^{7}+q^{9}+(1+\cdots)q^{11}+\cdots\)
5376.2.a.ba	\(2\)	\(42.928\)	\(\Q(\sqrt{6}) \)	None	\(0\)	\(2\)	\(0\)	\(-2\)	\(-\)	\(q+q^{3}+\beta q^{5}-q^{7}+q^{9}+(2+\beta )q^{11}+\cdots\)
5376.2.a.bb	\(2\)	\(42.928\)	\(\Q(\sqrt{6}) \)	None	\(0\)	\(2\)	\(0\)	\(2\)	\(-\)	\(q+q^{3}+\beta q^{5}+q^{7}+q^{9}+(2-\beta )q^{11}+\cdots\)
5376.2.a.bc	\(2\)	\(42.928\)	\(\Q(\sqrt{3}) \)	None	\(0\)	\(2\)	\(2\)	\(-2\)	\(+\)	\(q+q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(-3+\cdots)q^{11}+\cdots\)
5376.2.a.bd	\(2\)	\(42.928\)	\(\Q(\sqrt{3}) \)	None	\(0\)	\(2\)	\(2\)	\(-2\)	\(+\)	\(q+q^{3}+(1+\beta )q^{5}-q^{7}+q^{9}+(1-\beta )q^{11}+\cdots\)
5376.2.a.be	\(2\)	\(42.928\)	\(\Q(\sqrt{3}) \)	None	\(0\)	\(2\)	\(2\)	\(2\)	\(+\)	\(q+q^{3}+(1+\beta )q^{5}+q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
5376.2.a.bf	\(2\)	\(42.928\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(2\)	\(4\)	\(-2\)	\(-\)	\(q+q^{3}+(2+\beta )q^{5}-q^{7}+q^{9}+\beta q^{11}+\cdots\)
5376.2.a.bg	\(3\)	\(42.928\)	3.3.1016.1	None	\(0\)	\(-3\)	\(0\)	\(-3\)	\(-\)	\(q-q^{3}+\beta _{2}q^{5}-q^{7}+q^{9}+(1-\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bh	\(3\)	\(42.928\)	3.3.1016.1	None	\(0\)	\(-3\)	\(0\)	\(3\)	\(-\)	\(q-q^{3}-\beta _{2}q^{5}+q^{7}+q^{9}+(1-\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bi	\(3\)	\(42.928\)	3.3.1016.1	None	\(0\)	\(3\)	\(0\)	\(-3\)	\(-\)	\(q+q^{3}-\beta _{2}q^{5}-q^{7}+q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bj	\(3\)	\(42.928\)	3.3.1016.1	None	\(0\)	\(3\)	\(0\)	\(3\)	\(-\)	\(q+q^{3}+\beta _{2}q^{5}+q^{7}+q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bk	\(4\)	\(42.928\)	4.4.7232.1	None	\(0\)	\(-4\)	\(-4\)	\(4\)	\(+\)	\(q-q^{3}+(-1-\beta _{1})q^{5}+q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bl	\(4\)	\(42.928\)	4.4.19664.1	None	\(0\)	\(-4\)	\(-2\)	\(4\)	\(+\)	\(q-q^{3}+(-1-\beta _{3})q^{5}+q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
5376.2.a.bm	\(4\)	\(42.928\)	4.4.19664.1	None	\(0\)	\(-4\)	\(2\)	\(-4\)	\(+\)	\(q-q^{3}+(1+\beta _{3})q^{5}-q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
5376.2.a.bn	\(4\)	\(42.928\)	4.4.7232.1	None	\(0\)	\(-4\)	\(4\)	\(-4\)	\(-\)	\(q-q^{3}+(1+\beta _{1})q^{5}-q^{7}+q^{9}+(-\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bo	\(4\)	\(42.928\)	4.4.7232.1	None	\(0\)	\(4\)	\(-4\)	\(-4\)	\(+\)	\(q+q^{3}+(-1-\beta _{1})q^{5}-q^{7}+q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.a.bp	\(4\)	\(42.928\)	4.4.19664.1	None	\(0\)	\(4\)	\(-2\)	\(-4\)	\(-\)	\(q+q^{3}+(-1-\beta _{3})q^{5}-q^{7}+q^{9}+(2+\cdots)q^{11}+\cdots\)
5376.2.a.bq	\(4\)	\(42.928\)	4.4.19664.1	None	\(0\)	\(4\)	\(2\)	\(4\)	\(-\)	\(q+q^{3}+(1+\beta _{3})q^{5}+q^{7}+q^{9}+(2+\beta _{2}+\cdots)q^{11}+\cdots\)
5376.2.a.br	\(4\)	\(42.928\)	4.4.7232.1	None	\(0\)	\(4\)	\(4\)	\(4\)	\(-\)	\(q+q^{3}+(1+\beta _{1})q^{5}+q^{7}+q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)
5376.2.c.a	\(2\)	\(42.928\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(0\)	\(-2\)		\(q+iq^{3}+4iq^{5}-q^{7}-q^{9}-6iq^{11}+\cdots\)
5376.2.c.b	\(2\)	\(42.928\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(0\)	\(-2\)		\(q+iq^{3}+4iq^{5}-q^{7}-q^{9}+2iq^{11}+\cdots\)
5376.2.c.c	\(2\)	\(42.928\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(0\)	\(-2\)		\(q+iq^{3}+2iq^{5}-q^{7}-q^{9}+4iq^{11}+\cdots\)
5376.2.c.d	\(2\)	\(42.928\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(0\)	\(-2\)		\(q+iq^{3}+2iq^{5}-q^{7}-q^{9}-6iq^{13}+\cdots\)
5376.2.c.e	\(2\)	\(42.928\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(0\)	\(-2\)		\(q+iq^{3}+2iq^{5}-q^{7}-q^{9}-4iq^{11}+\cdots\)
5376.2.c.f	\(2\)	\(42.928\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(0\)	\(-2\)		\(q+iq^{3}+2iq^{5}-q^{7}-q^{9}+2iq^{13}+\cdots\)

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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.