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 68) 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
6048.2.a.a	$1$	$48.294$	$\Q$	None	$0$	$0$	$-3$	$-1$	$+$	$q-3q^{5}-q^{7}-2q^{11}-4q^{13}+5q^{17}+\cdots$
6048.2.a.b	$1$	$48.294$	$\Q$	None	$0$	$0$	$-3$	$-1$	$+$	$q-3q^{5}-q^{7}-q^{11}+2q^{13}-2q^{17}+\cdots$
6048.2.a.c	$1$	$48.294$	$\Q$	None	$0$	$0$	$-3$	$1$	$+$	$q-3q^{5}+q^{7}+q^{11}+2q^{13}-2q^{17}+\cdots$
6048.2.a.d	$1$	$48.294$	$\Q$	None	$0$	$0$	$-3$	$1$	$+$	$q-3q^{5}+q^{7}+2q^{11}-4q^{13}+5q^{17}+\cdots$
6048.2.a.e	$1$	$48.294$	$\Q$	None	$0$	$0$	$-1$	$-1$	$-$	$q-q^{5}-q^{7}-3q^{11}+2q^{13}+2q^{17}+\cdots$
6048.2.a.f	$1$	$48.294$	$\Q$	None	$0$	$0$	$-1$	$-1$	$+$	$q-q^{5}-q^{7}-2q^{11}-q^{17}+4q^{19}+\cdots$
6048.2.a.g	$1$	$48.294$	$\Q$	None	$0$	$0$	$-1$	$-1$	$-$	$q-q^{5}-q^{7}+2q^{11}+4q^{13}+3q^{17}+\cdots$
6048.2.a.h	$1$	$48.294$	$\Q$	None	$0$	$0$	$-1$	$1$	$+$	$q-q^{5}+q^{7}-2q^{11}+4q^{13}+3q^{17}+\cdots$
6048.2.a.i	$1$	$48.294$	$\Q$	None	$0$	$0$	$-1$	$1$	$+$	$q-q^{5}+q^{7}+2q^{11}-q^{17}-4q^{19}+\cdots$
6048.2.a.j	$1$	$48.294$	$\Q$	None	$0$	$0$	$-1$	$1$	$-$	$q-q^{5}+q^{7}+3q^{11}+2q^{13}+2q^{17}+\cdots$
6048.2.a.k	$1$	$48.294$	$\Q$	None	$0$	$0$	$0$	$-1$	$+$	$q-q^{7}-4q^{11}+q^{13}+5q^{17}+2q^{19}+\cdots$
6048.2.a.l	$1$	$48.294$	$\Q$	None	$0$	$0$	$0$	$-1$	$+$	$q-q^{7}+4q^{11}+q^{13}-5q^{17}+2q^{19}+\cdots$
6048.2.a.m	$1$	$48.294$	$\Q$	None	$0$	$0$	$0$	$1$	$-$	$q+q^{7}-4q^{11}+q^{13}-5q^{17}-2q^{19}+\cdots$
6048.2.a.n	$1$	$48.294$	$\Q$	None	$0$	$0$	$0$	$1$	$-$	$q+q^{7}+4q^{11}+q^{13}+5q^{17}-2q^{19}+\cdots$
6048.2.a.o	$1$	$48.294$	$\Q$	None	$0$	$0$	$1$	$-1$	$-$	$q+q^{5}-q^{7}-2q^{11}+4q^{13}-3q^{17}+\cdots$
6048.2.a.p	$1$	$48.294$	$\Q$	None	$0$	$0$	$1$	$-1$	$+$	$q+q^{5}-q^{7}+2q^{11}+q^{17}+4q^{19}+\cdots$
6048.2.a.q	$1$	$48.294$	$\Q$	None	$0$	$0$	$1$	$-1$	$+$	$q+q^{5}-q^{7}+3q^{11}+2q^{13}-2q^{17}+\cdots$
6048.2.a.r	$1$	$48.294$	$\Q$	None	$0$	$0$	$1$	$1$	$+$	$q+q^{5}+q^{7}-3q^{11}+2q^{13}-2q^{17}+\cdots$
6048.2.a.s	$1$	$48.294$	$\Q$	None	$0$	$0$	$1$	$1$	$+$	$q+q^{5}+q^{7}-2q^{11}+q^{17}-4q^{19}+\cdots$
6048.2.a.t	$1$	$48.294$	$\Q$	None	$0$	$0$	$1$	$1$	$+$	$q+q^{5}+q^{7}+2q^{11}+4q^{13}-3q^{17}+\cdots$
6048.2.a.u	$1$	$48.294$	$\Q$	None	$0$	$0$	$3$	$-1$	$-$	$q+3q^{5}-q^{7}+q^{11}+2q^{13}+2q^{17}+\cdots$
6048.2.a.v	$1$	$48.294$	$\Q$	None	$0$	$0$	$3$	$-1$	$+$	$q+3q^{5}-q^{7}+2q^{11}-4q^{13}-5q^{17}+\cdots$
6048.2.a.w	$1$	$48.294$	$\Q$	None	$0$	$0$	$3$	$1$	$+$	$q+3q^{5}+q^{7}-2q^{11}-4q^{13}-5q^{17}+\cdots$
6048.2.a.x	$1$	$48.294$	$\Q$	None	$0$	$0$	$3$	$1$	$-$	$q+3q^{5}+q^{7}-q^{11}+2q^{13}+2q^{17}+\cdots$
6048.2.a.y	$2$	$48.294$	$\Q(\sqrt{2}) $	None	$0$	$0$	$-2$	$-2$	$+$	$q+(-1+\beta )q^{5}-q^{7}+(-2-\beta )q^{11}+\cdots$
6048.2.a.z	$2$	$48.294$	$\Q(\sqrt{2}) $	None	$0$	$0$	$-2$	$-2$	$-$	$q+(-1+\beta )q^{5}-q^{7}+(1-\beta )q^{11}-2\beta q^{13}+\cdots$
6048.2.a.ba	$2$	$48.294$	$\Q(\sqrt{2}) $	None	$0$	$0$	$-2$	$2$	$+$	$q+(-1+\beta )q^{5}+q^{7}+(-1+\beta )q^{11}+\cdots$
6048.2.a.bb	$2$	$48.294$	$\Q(\sqrt{2}) $	None	$0$	$0$	$-2$	$2$	$-$	$q+(-1+\beta )q^{5}+q^{7}+(2+\beta )q^{11}+\beta q^{13}+\cdots$
6048.2.a.bc	$2$	$48.294$	$\Q(\sqrt{17}) $	None	$0$	$0$	$-1$	$-2$	$-$	$q-\beta q^{5}-q^{7}-2\beta q^{11}+(-5+\beta )q^{13}+\cdots$
6048.2.a.bd	$2$	$48.294$	$\Q(\sqrt{17}) $	None	$0$	$0$	$-1$	$2$	$+$	$q-\beta q^{5}+q^{7}+2\beta q^{11}+(-5+\beta )q^{13}+\cdots$
6048.2.a.be	$2$	$48.294$	$\Q(\sqrt{17}) $	None	$0$	$0$	$1$	$-2$	$-$	$q+\beta q^{5}-q^{7}+2\beta q^{11}+(-5+\beta )q^{13}+\cdots$
6048.2.a.bf	$2$	$48.294$	$\Q(\sqrt{17}) $	None	$0$	$0$	$1$	$2$	$+$	$q+\beta q^{5}+q^{7}-2\beta q^{11}+(-5+\beta )q^{13}+\cdots$
6048.2.a.bg	$2$	$48.294$	$\Q(\sqrt{2}) $	None	$0$	$0$	$2$	$-2$	$+$	$q+(1+\beta )q^{5}-q^{7}+(-1-\beta )q^{11}+2\beta q^{13}+\cdots$
6048.2.a.bh	$2$	$48.294$	$\Q(\sqrt{2}) $	None	$0$	$0$	$2$	$-2$	$+$	$q+(1+\beta )q^{5}-q^{7}+(2-\beta )q^{11}-\beta q^{13}+\cdots$
6048.2.a.bi	$2$	$48.294$	$\Q(\sqrt{2}) $	None	$0$	$0$	$2$	$2$	$-$	$q+(1+\beta )q^{5}+q^{7}+(-2+\beta )q^{11}-\beta q^{13}+\cdots$
6048.2.a.bj	$2$	$48.294$	$\Q(\sqrt{2}) $	None	$0$	$0$	$2$	$2$	$-$	$q+(1+\beta )q^{5}+q^{7}+(1+\beta )q^{11}+2\beta q^{13}+\cdots$
6048.2.a.bk	$4$	$48.294$	4.4.39528.1	None	$0$	$0$	$-2$	$-4$	$-$	$q+(-1-\beta _{2})q^{5}-q^{7}-\beta _{1}q^{11}+(2+\cdots)q^{13}+\cdots$
6048.2.a.bl	$4$	$48.294$	4.4.25808.1	None	$0$	$0$	$-2$	$-4$	$-$	$q+(-1-\beta _{2})q^{5}-q^{7}+(1+\beta _{1})q^{11}+\cdots$
6048.2.a.bm	$4$	$48.294$	4.4.22896.1	None	$0$	$0$	$-2$	$-4$	$+$	$q+\beta _{2}q^{5}-q^{7}-\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots$
6048.2.a.bn	$4$	$48.294$	4.4.25808.1	None	$0$	$0$	$-2$	$4$	$+$	$q+(-1-\beta _{2})q^{5}+q^{7}+(-1-\beta _{1})q^{11}+\cdots$
6048.2.a.bo	$4$	$48.294$	4.4.22896.1	None	$0$	$0$	$-2$	$4$	$+$	$q+\beta _{2}q^{5}+q^{7}+\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots$
6048.2.a.bp	$4$	$48.294$	4.4.39528.1	None	$0$	$0$	$-2$	$4$	$-$	$q+(-1-\beta _{2})q^{5}+q^{7}+\beta _{1}q^{11}+(2+\cdots)q^{13}+\cdots$
6048.2.a.bq	$4$	$48.294$	4.4.25808.1	None	$0$	$0$	$2$	$-4$	$+$	$q+(1+\beta _{2})q^{5}-q^{7}+(-1-\beta _{1})q^{11}+\cdots$
6048.2.a.br	$4$	$48.294$	4.4.22896.1	None	$0$	$0$	$2$	$-4$	$-$	$q-\beta _{2}q^{5}-q^{7}+\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots$
6048.2.a.bs	$4$	$48.294$	4.4.39528.1	None	$0$	$0$	$2$	$-4$	$-$	$q+(1+\beta _{2})q^{5}-q^{7}+\beta _{1}q^{11}+(2+\beta _{1}+\cdots)q^{13}+\cdots$
6048.2.a.bt	$4$	$48.294$	4.4.39528.1	None	$0$	$0$	$2$	$4$	$-$	$q+(1+\beta _{2})q^{5}+q^{7}-\beta _{1}q^{11}+(2+\beta _{1}+\cdots)q^{13}+\cdots$
6048.2.a.bu	$4$	$48.294$	4.4.25808.1	None	$0$	$0$	$2$	$4$	$-$	$q+(1+\beta _{2})q^{5}+q^{7}+(1+\beta _{1})q^{11}+(-1+\cdots)q^{13}+\cdots$
6048.2.a.bv	$4$	$48.294$	4.4.22896.1	None	$0$	$0$	$2$	$4$	$-$	$q-\beta _{2}q^{5}+q^{7}-\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots$
6048.2.c.a	$2$	$48.294$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$0$	$2$		$q+2iq^{5}+q^{7}-5iq^{13}-q^{17}+4iq^{19}+\cdots$
6048.2.c.b	$2$	$48.294$	$\Q(\sqrt{-1}) $	None	$0$	$0$	$0$	$2$		$q+2iq^{5}+q^{7}+5iq^{13}+q^{17}-4iq^{19}+\cdots$

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
6048.2.a.a	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(-3\)	\(-1\)	\(+\)	\(q-3q^{5}-q^{7}-2q^{11}-4q^{13}+5q^{17}+\cdots\)
6048.2.a.b	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(-3\)	\(-1\)	\(+\)	\(q-3q^{5}-q^{7}-q^{11}+2q^{13}-2q^{17}+\cdots\)
6048.2.a.c	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(-3\)	\(1\)	\(+\)	\(q-3q^{5}+q^{7}+q^{11}+2q^{13}-2q^{17}+\cdots\)
6048.2.a.d	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(-3\)	\(1\)	\(+\)	\(q-3q^{5}+q^{7}+2q^{11}-4q^{13}+5q^{17}+\cdots\)
6048.2.a.e	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(-1\)	\(-\)	\(q-q^{5}-q^{7}-3q^{11}+2q^{13}+2q^{17}+\cdots\)
6048.2.a.f	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(-1\)	\(+\)	\(q-q^{5}-q^{7}-2q^{11}-q^{17}+4q^{19}+\cdots\)
6048.2.a.g	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(-1\)	\(-\)	\(q-q^{5}-q^{7}+2q^{11}+4q^{13}+3q^{17}+\cdots\)
6048.2.a.h	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(1\)	\(+\)	\(q-q^{5}+q^{7}-2q^{11}+4q^{13}+3q^{17}+\cdots\)
6048.2.a.i	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(1\)	\(+\)	\(q-q^{5}+q^{7}+2q^{11}-q^{17}-4q^{19}+\cdots\)
6048.2.a.j	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(-1\)	\(1\)	\(-\)	\(q-q^{5}+q^{7}+3q^{11}+2q^{13}+2q^{17}+\cdots\)
6048.2.a.k	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(0\)	\(-1\)	\(+\)	\(q-q^{7}-4q^{11}+q^{13}+5q^{17}+2q^{19}+\cdots\)
6048.2.a.l	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(0\)	\(-1\)	\(+\)	\(q-q^{7}+4q^{11}+q^{13}-5q^{17}+2q^{19}+\cdots\)
6048.2.a.m	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(0\)	\(1\)	\(-\)	\(q+q^{7}-4q^{11}+q^{13}-5q^{17}-2q^{19}+\cdots\)
6048.2.a.n	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(0\)	\(1\)	\(-\)	\(q+q^{7}+4q^{11}+q^{13}+5q^{17}-2q^{19}+\cdots\)
6048.2.a.o	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(-1\)	\(-\)	\(q+q^{5}-q^{7}-2q^{11}+4q^{13}-3q^{17}+\cdots\)
6048.2.a.p	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(-1\)	\(+\)	\(q+q^{5}-q^{7}+2q^{11}+q^{17}+4q^{19}+\cdots\)
6048.2.a.q	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(-1\)	\(+\)	\(q+q^{5}-q^{7}+3q^{11}+2q^{13}-2q^{17}+\cdots\)
6048.2.a.r	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(1\)	\(+\)	\(q+q^{5}+q^{7}-3q^{11}+2q^{13}-2q^{17}+\cdots\)
6048.2.a.s	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(1\)	\(+\)	\(q+q^{5}+q^{7}-2q^{11}+q^{17}-4q^{19}+\cdots\)
6048.2.a.t	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(1\)	\(1\)	\(+\)	\(q+q^{5}+q^{7}+2q^{11}+4q^{13}-3q^{17}+\cdots\)
6048.2.a.u	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(3\)	\(-1\)	\(-\)	\(q+3q^{5}-q^{7}+q^{11}+2q^{13}+2q^{17}+\cdots\)
6048.2.a.v	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(3\)	\(-1\)	\(+\)	\(q+3q^{5}-q^{7}+2q^{11}-4q^{13}-5q^{17}+\cdots\)
6048.2.a.w	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(3\)	\(1\)	\(+\)	\(q+3q^{5}+q^{7}-2q^{11}-4q^{13}-5q^{17}+\cdots\)
6048.2.a.x	\(1\)	\(48.294\)	\(\Q\)	None	\(0\)	\(0\)	\(3\)	\(1\)	\(-\)	\(q+3q^{5}+q^{7}-q^{11}+2q^{13}+2q^{17}+\cdots\)
6048.2.a.y	\(2\)	\(48.294\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(0\)	\(-2\)	\(-2\)	\(+\)	\(q+(-1+\beta )q^{5}-q^{7}+(-2-\beta )q^{11}+\cdots\)
6048.2.a.z	\(2\)	\(48.294\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(0\)	\(-2\)	\(-2\)	\(-\)	\(q+(-1+\beta )q^{5}-q^{7}+(1-\beta )q^{11}-2\beta q^{13}+\cdots\)
6048.2.a.ba	\(2\)	\(48.294\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(0\)	\(-2\)	\(2\)	\(+\)	\(q+(-1+\beta )q^{5}+q^{7}+(-1+\beta )q^{11}+\cdots\)
6048.2.a.bb	\(2\)	\(48.294\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(0\)	\(-2\)	\(2\)	\(-\)	\(q+(-1+\beta )q^{5}+q^{7}+(2+\beta )q^{11}+\beta q^{13}+\cdots\)
6048.2.a.bc	\(2\)	\(48.294\)	\(\Q(\sqrt{17}) \)	None	\(0\)	\(0\)	\(-1\)	\(-2\)	\(-\)	\(q-\beta q^{5}-q^{7}-2\beta q^{11}+(-5+\beta )q^{13}+\cdots\)
6048.2.a.bd	\(2\)	\(48.294\)	\(\Q(\sqrt{17}) \)	None	\(0\)	\(0\)	\(-1\)	\(2\)	\(+\)	\(q-\beta q^{5}+q^{7}+2\beta q^{11}+(-5+\beta )q^{13}+\cdots\)
6048.2.a.be	\(2\)	\(48.294\)	\(\Q(\sqrt{17}) \)	None	\(0\)	\(0\)	\(1\)	\(-2\)	\(-\)	\(q+\beta q^{5}-q^{7}+2\beta q^{11}+(-5+\beta )q^{13}+\cdots\)
6048.2.a.bf	\(2\)	\(48.294\)	\(\Q(\sqrt{17}) \)	None	\(0\)	\(0\)	\(1\)	\(2\)	\(+\)	\(q+\beta q^{5}+q^{7}-2\beta q^{11}+(-5+\beta )q^{13}+\cdots\)
6048.2.a.bg	\(2\)	\(48.294\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(0\)	\(2\)	\(-2\)	\(+\)	\(q+(1+\beta )q^{5}-q^{7}+(-1-\beta )q^{11}+2\beta q^{13}+\cdots\)
6048.2.a.bh	\(2\)	\(48.294\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(0\)	\(2\)	\(-2\)	\(+\)	\(q+(1+\beta )q^{5}-q^{7}+(2-\beta )q^{11}-\beta q^{13}+\cdots\)
6048.2.a.bi	\(2\)	\(48.294\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(0\)	\(2\)	\(2\)	\(-\)	\(q+(1+\beta )q^{5}+q^{7}+(-2+\beta )q^{11}-\beta q^{13}+\cdots\)
6048.2.a.bj	\(2\)	\(48.294\)	\(\Q(\sqrt{2}) \)	None	\(0\)	\(0\)	\(2\)	\(2\)	\(-\)	\(q+(1+\beta )q^{5}+q^{7}+(1+\beta )q^{11}+2\beta q^{13}+\cdots\)
6048.2.a.bk	\(4\)	\(48.294\)	4.4.39528.1	None	\(0\)	\(0\)	\(-2\)	\(-4\)	\(-\)	\(q+(-1-\beta _{2})q^{5}-q^{7}-\beta _{1}q^{11}+(2+\cdots)q^{13}+\cdots\)
6048.2.a.bl	\(4\)	\(48.294\)	4.4.25808.1	None	\(0\)	\(0\)	\(-2\)	\(-4\)	\(-\)	\(q+(-1-\beta _{2})q^{5}-q^{7}+(1+\beta _{1})q^{11}+\cdots\)
6048.2.a.bm	\(4\)	\(48.294\)	4.4.22896.1	None	\(0\)	\(0\)	\(-2\)	\(-4\)	\(+\)	\(q+\beta _{2}q^{5}-q^{7}-\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
6048.2.a.bn	\(4\)	\(48.294\)	4.4.25808.1	None	\(0\)	\(0\)	\(-2\)	\(4\)	\(+\)	\(q+(-1-\beta _{2})q^{5}+q^{7}+(-1-\beta _{1})q^{11}+\cdots\)
6048.2.a.bo	\(4\)	\(48.294\)	4.4.22896.1	None	\(0\)	\(0\)	\(-2\)	\(4\)	\(+\)	\(q+\beta _{2}q^{5}+q^{7}+\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
6048.2.a.bp	\(4\)	\(48.294\)	4.4.39528.1	None	\(0\)	\(0\)	\(-2\)	\(4\)	\(-\)	\(q+(-1-\beta _{2})q^{5}+q^{7}+\beta _{1}q^{11}+(2+\cdots)q^{13}+\cdots\)
6048.2.a.bq	\(4\)	\(48.294\)	4.4.25808.1	None	\(0\)	\(0\)	\(2\)	\(-4\)	\(+\)	\(q+(1+\beta _{2})q^{5}-q^{7}+(-1-\beta _{1})q^{11}+\cdots\)
6048.2.a.br	\(4\)	\(48.294\)	4.4.22896.1	None	\(0\)	\(0\)	\(2\)	\(-4\)	\(-\)	\(q-\beta _{2}q^{5}-q^{7}+\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
6048.2.a.bs	\(4\)	\(48.294\)	4.4.39528.1	None	\(0\)	\(0\)	\(2\)	\(-4\)	\(-\)	\(q+(1+\beta _{2})q^{5}-q^{7}+\beta _{1}q^{11}+(2+\beta _{1}+\cdots)q^{13}+\cdots\)
6048.2.a.bt	\(4\)	\(48.294\)	4.4.39528.1	None	\(0\)	\(0\)	\(2\)	\(4\)	\(-\)	\(q+(1+\beta _{2})q^{5}+q^{7}-\beta _{1}q^{11}+(2+\beta _{1}+\cdots)q^{13}+\cdots\)
6048.2.a.bu	\(4\)	\(48.294\)	4.4.25808.1	None	\(0\)	\(0\)	\(2\)	\(4\)	\(-\)	\(q+(1+\beta _{2})q^{5}+q^{7}+(1+\beta _{1})q^{11}+(-1+\cdots)q^{13}+\cdots\)
6048.2.a.bv	\(4\)	\(48.294\)	4.4.22896.1	None	\(0\)	\(0\)	\(2\)	\(4\)	\(-\)	\(q-\beta _{2}q^{5}+q^{7}-\beta _{1}q^{11}+(\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots\)
6048.2.c.a	\(2\)	\(48.294\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(0\)	\(2\)		\(q+2iq^{5}+q^{7}-5iq^{13}-q^{17}+4iq^{19}+\cdots\)
6048.2.c.b	\(2\)	\(48.294\)	\(\Q(\sqrt{-1}) \)	None	\(0\)	\(0\)	\(0\)	\(2\)		\(q+2iq^{5}+q^{7}+5iq^{13}+q^{17}-4iq^{19}+\cdots\)

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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.