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 (1-50 of 100 matches)

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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
722.2.a.a	$1$	$5.765$	$\Q$	None	$-1$	$-3$	$2$	$-3$	$+$	$q-q^{2}-3q^{3}+q^{4}+2q^{5}+3q^{6}-3q^{7}+\cdots$
722.2.a.b	$1$	$5.765$	$\Q$	None	$-1$	$1$	$-4$	$3$	$-$	$q-q^{2}+q^{3}+q^{4}-4q^{5}-q^{6}+3q^{7}+\cdots$
722.2.a.c	$1$	$5.765$	$\Q$	None	$-1$	$1$	$0$	$-4$	$+$	$q-q^{2}+q^{3}+q^{4}-q^{6}-4q^{7}-q^{8}+\cdots$
722.2.a.d	$1$	$5.765$	$\Q$	None	$1$	$-1$	$0$	$-4$	$+$	$q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots$
722.2.a.e	$1$	$5.765$	$\Q$	None	$1$	$-1$	$0$	$-1$	$+$	$q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots$
722.2.a.f	$1$	$5.765$	$\Q$	None	$1$	$3$	$2$	$-3$	$-$	$q+q^{2}+3q^{3}+q^{4}+2q^{5}+3q^{6}-3q^{7}+\cdots$
722.2.a.g	$2$	$5.765$	$\Q(\sqrt{7}) $	None	$-2$	$0$	$2$	$2$	$-$	$q-q^{2}+\beta q^{3}+q^{4}+(1+\beta )q^{5}-\beta q^{6}+\cdots$
722.2.a.h	$2$	$5.765$	$\Q(\sqrt{5}) $	None	$-2$	$2$	$-5$	$-2$	$-$	$q-q^{2}+2\beta q^{3}+q^{4}+(-3+\beta )q^{5}+\cdots$
722.2.a.i	$2$	$5.765$	$\Q(\sqrt{5}) $	None	$2$	$-2$	$-5$	$-2$	$+$	$q+q^{2}-2\beta q^{3}+q^{4}+(-3+\beta )q^{5}+\cdots$
722.2.a.j	$2$	$5.765$	$\Q(\sqrt{7}) $	None	$2$	$0$	$2$	$2$	$-$	$q+q^{2}+\beta q^{3}+q^{4}+(1-\beta )q^{5}+\beta q^{6}+\cdots$
722.2.a.k	$3$	$5.765$	$\Q(\zeta_{18})^+$	None	$-3$	$0$	$6$	$6$	$-$	$q-q^{2}+\beta _{1}q^{3}+q^{4}+2q^{5}-\beta _{1}q^{6}+\cdots$
722.2.a.l	$3$	$5.765$	$\Q(\zeta_{18})^+$	None	$3$	$0$	$6$	$6$	$-$	$q+q^{2}-\beta _{1}q^{3}+q^{4}+2q^{5}-\beta _{1}q^{6}+\cdots$
722.2.a.m	$4$	$5.765$	$\Q(\zeta_{20})^+$	None	$-4$	$-2$	$-2$	$-2$	$+$	$q-q^{2}+(-1-\beta _{2}-\beta _{3})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots$
722.2.a.n	$4$	$5.765$	$\Q(\zeta_{20})^+$	None	$4$	$2$	$-2$	$-2$	$-$	$q+q^{2}+(1+\beta _{2}+\beta _{3})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots$
722.2.c.a	$2$	$5.765$	$\Q(\sqrt{-3}) $	None	$-1$	$-3$	$-2$	$-6$		$q+(-1+\zeta_{6})q^{2}+(-3+3\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$
722.2.c.b	$2$	$5.765$	$\Q(\sqrt{-3}) $	None	$-1$	$1$	$0$	$-8$		$q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$
722.2.c.c	$2$	$5.765$	$\Q(\sqrt{-3}) $	None	$-1$	$1$	$0$	$-2$		$q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$
722.2.c.d	$2$	$5.765$	$\Q(\sqrt{-3}) $	None	$-1$	$1$	$4$	$6$		$q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$
722.2.c.e	$2$	$5.765$	$\Q(\sqrt{-3}) $	None	$1$	$-1$	$0$	$-2$		$q+(1-\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$
722.2.c.f	$2$	$5.765$	$\Q(\sqrt{-3}) $	None	$1$	$-1$	$4$	$6$		$q+(1-\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$
722.2.c.g	$2$	$5.765$	$\Q(\sqrt{-3}) $	None	$1$	$3$	$-2$	$-6$		$q+(1-\zeta_{6})q^{2}+(3-3\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$
722.2.c.h	$4$	$5.765$	$\Q(\sqrt{-3}, \sqrt{5})$	None	$-2$	$2$	$5$	$-4$		$q+(-1-\beta _{3})q^{2}+2\beta _{1}q^{3}+\beta _{3}q^{4}+\cdots$
722.2.c.i	$4$	$5.765$	$\Q(\sqrt{-3}, \sqrt{5})$	None	$2$	$-2$	$5$	$-4$		$q+(1+\beta _{3})q^{2}-2\beta _{1}q^{3}+\beta _{3}q^{4}+(3+\cdots)q^{5}+\cdots$
722.2.c.j	$4$	$5.765$	$\Q(\sqrt{-3}, \sqrt{7})$	None	$2$	$0$	$-2$	$4$		$q+(1+\beta _{2})q^{2}-\beta _{1}q^{3}+\beta _{2}q^{4}+(-1+\cdots)q^{5}+\cdots$
722.2.c.k	$6$	$5.765$	$\Q(\zeta_{18})$	None	$-3$	$0$	$-6$	$12$		$q+(-1+\zeta_{18})q^{2}+(\zeta_{18}^{2}-\zeta_{18}^{3})q^{3}+\cdots$
722.2.c.l	$6$	$5.765$	$\Q(\zeta_{18})$	None	$3$	$0$	$-6$	$12$		$q+\zeta_{18}q^{2}+(-\zeta_{18}^{2}+\zeta_{18}^{3}+\zeta_{18}^{4}+\cdots)q^{3}+\cdots$
722.2.c.m	$8$	$5.765$	8.0.324000000.2	None	$-4$	$-2$	$2$	$-4$		$q+(-1-\beta _{4})q^{2}+(\beta _{3}+\beta _{6})q^{3}+\beta _{4}q^{4}+\cdots$
722.2.c.n	$8$	$5.765$	8.0.324000000.2	None	$4$	$2$	$2$	$-4$		$q+(1+\beta _{4})q^{2}+(-\beta _{3}-\beta _{6})q^{3}+\beta _{4}q^{4}+\cdots$
722.2.e.a	$6$	$5.765$	$\Q(\zeta_{18})$	None	$0$	$-6$	$0$	$-6$		$q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+(-1-\zeta_{18}^{2}+\cdots)q^{3}+\cdots$
722.2.e.b	$6$	$5.765$	$\Q(\zeta_{18})$	None	$0$	$-3$	$0$	$-6$		$q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+(-1+\zeta_{18}^{3}-\zeta_{18}^{5})q^{3}+\cdots$
722.2.e.c	$6$	$5.765$	$\Q(\zeta_{18})$	None	$0$	$0$	$0$	$-9$		$q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots$
722.2.e.d	$6$	$5.765$	$\Q(\zeta_{18})$	None	$0$	$0$	$0$	$-9$		$q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}-\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots$
722.2.e.e	$6$	$5.765$	$\Q(\zeta_{18})$	None	$0$	$0$	$0$	$3$		$q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots$
722.2.e.f	$6$	$5.765$	$\Q(\zeta_{18})$	None	$0$	$0$	$0$	$3$		$q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}-\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots$
722.2.e.g	$6$	$5.765$	$\Q(\zeta_{18})$	None	$0$	$0$	$0$	$9$		$q+(\zeta_{18}-\zeta_{18}^{4})q^{2}-3\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots$
722.2.e.h	$6$	$5.765$	$\Q(\zeta_{18})$	None	$0$	$0$	$0$	$9$		$q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+3\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots$
722.2.e.i	$6$	$5.765$	$\Q(\zeta_{18})$	None	$0$	$0$	$0$	$12$		$q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots$
722.2.e.j	$6$	$5.765$	$\Q(\zeta_{18})$	None	$0$	$0$	$0$	$12$		$q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}-\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots$
722.2.e.k	$6$	$5.765$	$\Q(\zeta_{18})$	None	$0$	$3$	$0$	$-6$		$q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+(\zeta_{18}^{2}+\zeta_{18}^{3}+\cdots)q^{3}+\cdots$
722.2.e.l	$6$	$5.765$	$\Q(\zeta_{18})$	None	$0$	$3$	$0$	$-6$		$q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+(1-\zeta_{18}^{3}+\zeta_{18}^{5})q^{3}+\cdots$
722.2.e.m	$6$	$5.765$	$\Q(\zeta_{18})$	None	$0$	$6$	$0$	$-6$		$q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+(1+\zeta_{18}^{2})q^{3}+\cdots$
722.2.e.n	$12$	$5.765$	12.0.$\cdots$.3	None	$0$	$0$	$0$	$-6$		$q+\beta _{10}q^{2}+(-\beta _{1}-\beta _{7})q^{3}+\beta _{2}q^{4}+\cdots$
722.2.e.o	$12$	$5.765$	12.0.$\cdots$.3	None	$0$	$0$	$0$	$-6$		$q-\beta _{10}q^{2}+(-\beta _{1}-\beta _{7})q^{3}+\beta _{2}q^{4}+\cdots$
722.2.e.p	$12$	$5.765$	12.0.$\cdots$.1	None	$0$	$0$	$0$	$6$		$q-\beta _{9}q^{2}-2\beta _{7}q^{3}-\beta _{11}q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$
722.2.e.q	$12$	$5.765$	12.0.$\cdots$.1	None	$0$	$0$	$0$	$6$		$q+(\beta _{3}-\beta _{9})q^{2}-2\beta _{1}q^{3}+(-\beta _{5}+\beta _{11})q^{4}+\cdots$
722.2.e.r	$24$	$5.765$		None	$0$	$0$	$0$	$6$
722.2.e.s	$24$	$5.765$		None	$0$	$0$	$0$	$6$
722.2.g.a	$288$	$5.765$		None	$16$	$-1$	$1$	$2$
722.2.g.b	$306$	$5.765$		None	$-17$	$16$	$-1$	$-10$
722.2.i.a	$576$	$5.765$		None	$-16$	$1$	$-1$	$10$

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Degree 1	Degree 2
Degree 3	Degree 4
$\zeta$ zeros

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Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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
722.2.a.a	\(1\)	\(5.765\)	\(\Q\)	None	\(-1\)	\(-3\)	\(2\)	\(-3\)	\(+\)	\(q-q^{2}-3q^{3}+q^{4}+2q^{5}+3q^{6}-3q^{7}+\cdots\)
722.2.a.b	\(1\)	\(5.765\)	\(\Q\)	None	\(-1\)	\(1\)	\(-4\)	\(3\)	\(-\)	\(q-q^{2}+q^{3}+q^{4}-4q^{5}-q^{6}+3q^{7}+\cdots\)
722.2.a.c	\(1\)	\(5.765\)	\(\Q\)	None	\(-1\)	\(1\)	\(0\)	\(-4\)	\(+\)	\(q-q^{2}+q^{3}+q^{4}-q^{6}-4q^{7}-q^{8}+\cdots\)
722.2.a.d	\(1\)	\(5.765\)	\(\Q\)	None	\(1\)	\(-1\)	\(0\)	\(-4\)	\(+\)	\(q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots\)
722.2.a.e	\(1\)	\(5.765\)	\(\Q\)	None	\(1\)	\(-1\)	\(0\)	\(-1\)	\(+\)	\(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
722.2.a.f	\(1\)	\(5.765\)	\(\Q\)	None	\(1\)	\(3\)	\(2\)	\(-3\)	\(-\)	\(q+q^{2}+3q^{3}+q^{4}+2q^{5}+3q^{6}-3q^{7}+\cdots\)
722.2.a.g	\(2\)	\(5.765\)	\(\Q(\sqrt{7}) \)	None	\(-2\)	\(0\)	\(2\)	\(2\)	\(-\)	\(q-q^{2}+\beta q^{3}+q^{4}+(1+\beta )q^{5}-\beta q^{6}+\cdots\)
722.2.a.h	\(2\)	\(5.765\)	\(\Q(\sqrt{5}) \)	None	\(-2\)	\(2\)	\(-5\)	\(-2\)	\(-\)	\(q-q^{2}+2\beta q^{3}+q^{4}+(-3+\beta )q^{5}+\cdots\)
722.2.a.i	\(2\)	\(5.765\)	\(\Q(\sqrt{5}) \)	None	\(2\)	\(-2\)	\(-5\)	\(-2\)	\(+\)	\(q+q^{2}-2\beta q^{3}+q^{4}+(-3+\beta )q^{5}+\cdots\)
722.2.a.j	\(2\)	\(5.765\)	\(\Q(\sqrt{7}) \)	None	\(2\)	\(0\)	\(2\)	\(2\)	\(-\)	\(q+q^{2}+\beta q^{3}+q^{4}+(1-\beta )q^{5}+\beta q^{6}+\cdots\)
722.2.a.k	\(3\)	\(5.765\)	\(\Q(\zeta_{18})^+\)	None	\(-3\)	\(0\)	\(6\)	\(6\)	\(-\)	\(q-q^{2}+\beta _{1}q^{3}+q^{4}+2q^{5}-\beta _{1}q^{6}+\cdots\)
722.2.a.l	\(3\)	\(5.765\)	\(\Q(\zeta_{18})^+\)	None	\(3\)	\(0\)	\(6\)	\(6\)	\(-\)	\(q+q^{2}-\beta _{1}q^{3}+q^{4}+2q^{5}-\beta _{1}q^{6}+\cdots\)
722.2.a.m	\(4\)	\(5.765\)	\(\Q(\zeta_{20})^+\)	None	\(-4\)	\(-2\)	\(-2\)	\(-2\)	\(+\)	\(q-q^{2}+(-1-\beta _{2}-\beta _{3})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
722.2.a.n	\(4\)	\(5.765\)	\(\Q(\zeta_{20})^+\)	None	\(4\)	\(2\)	\(-2\)	\(-2\)	\(-\)	\(q+q^{2}+(1+\beta _{2}+\beta _{3})q^{3}+q^{4}+(-1+\cdots)q^{5}+\cdots\)
722.2.c.a	\(2\)	\(5.765\)	\(\Q(\sqrt{-3}) \)	None	\(-1\)	\(-3\)	\(-2\)	\(-6\)		\(q+(-1+\zeta_{6})q^{2}+(-3+3\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
722.2.c.b	\(2\)	\(5.765\)	\(\Q(\sqrt{-3}) \)	None	\(-1\)	\(1\)	\(0\)	\(-8\)		\(q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
722.2.c.c	\(2\)	\(5.765\)	\(\Q(\sqrt{-3}) \)	None	\(-1\)	\(1\)	\(0\)	\(-2\)		\(q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
722.2.c.d	\(2\)	\(5.765\)	\(\Q(\sqrt{-3}) \)	None	\(-1\)	\(1\)	\(4\)	\(6\)		\(q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
722.2.c.e	\(2\)	\(5.765\)	\(\Q(\sqrt{-3}) \)	None	\(1\)	\(-1\)	\(0\)	\(-2\)		\(q+(1-\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
722.2.c.f	\(2\)	\(5.765\)	\(\Q(\sqrt{-3}) \)	None	\(1\)	\(-1\)	\(4\)	\(6\)		\(q+(1-\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
722.2.c.g	\(2\)	\(5.765\)	\(\Q(\sqrt{-3}) \)	None	\(1\)	\(3\)	\(-2\)	\(-6\)		\(q+(1-\zeta_{6})q^{2}+(3-3\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots\)
722.2.c.h	\(4\)	\(5.765\)	\(\Q(\sqrt{-3}, \sqrt{5})\)	None	\(-2\)	\(2\)	\(5\)	\(-4\)		\(q+(-1-\beta _{3})q^{2}+2\beta _{1}q^{3}+\beta _{3}q^{4}+\cdots\)
722.2.c.i	\(4\)	\(5.765\)	\(\Q(\sqrt{-3}, \sqrt{5})\)	None	\(2\)	\(-2\)	\(5\)	\(-4\)		\(q+(1+\beta _{3})q^{2}-2\beta _{1}q^{3}+\beta _{3}q^{4}+(3+\cdots)q^{5}+\cdots\)
722.2.c.j	\(4\)	\(5.765\)	\(\Q(\sqrt{-3}, \sqrt{7})\)	None	\(2\)	\(0\)	\(-2\)	\(4\)		\(q+(1+\beta _{2})q^{2}-\beta _{1}q^{3}+\beta _{2}q^{4}+(-1+\cdots)q^{5}+\cdots\)
722.2.c.k	\(6\)	\(5.765\)	\(\Q(\zeta_{18})\)	None	\(-3\)	\(0\)	\(-6\)	\(12\)		\(q+(-1+\zeta_{18})q^{2}+(\zeta_{18}^{2}-\zeta_{18}^{3})q^{3}+\cdots\)
722.2.c.l	\(6\)	\(5.765\)	\(\Q(\zeta_{18})\)	None	\(3\)	\(0\)	\(-6\)	\(12\)		\(q+\zeta_{18}q^{2}+(-\zeta_{18}^{2}+\zeta_{18}^{3}+\zeta_{18}^{4}+\cdots)q^{3}+\cdots\)
722.2.c.m	\(8\)	\(5.765\)	8.0.324000000.2	None	\(-4\)	\(-2\)	\(2\)	\(-4\)		\(q+(-1-\beta _{4})q^{2}+(\beta _{3}+\beta _{6})q^{3}+\beta _{4}q^{4}+\cdots\)
722.2.c.n	\(8\)	\(5.765\)	8.0.324000000.2	None	\(4\)	\(2\)	\(2\)	\(-4\)		\(q+(1+\beta _{4})q^{2}+(-\beta _{3}-\beta _{6})q^{3}+\beta _{4}q^{4}+\cdots\)
722.2.e.a	\(6\)	\(5.765\)	\(\Q(\zeta_{18})\)	None	\(0\)	\(-6\)	\(0\)	\(-6\)		\(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+(-1-\zeta_{18}^{2}+\cdots)q^{3}+\cdots\)
722.2.e.b	\(6\)	\(5.765\)	\(\Q(\zeta_{18})\)	None	\(0\)	\(-3\)	\(0\)	\(-6\)		\(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+(-1+\zeta_{18}^{3}-\zeta_{18}^{5})q^{3}+\cdots\)
722.2.e.c	\(6\)	\(5.765\)	\(\Q(\zeta_{18})\)	None	\(0\)	\(0\)	\(0\)	\(-9\)		\(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
722.2.e.d	\(6\)	\(5.765\)	\(\Q(\zeta_{18})\)	None	\(0\)	\(0\)	\(0\)	\(-9\)		\(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}-\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
722.2.e.e	\(6\)	\(5.765\)	\(\Q(\zeta_{18})\)	None	\(0\)	\(0\)	\(0\)	\(3\)		\(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
722.2.e.f	\(6\)	\(5.765\)	\(\Q(\zeta_{18})\)	None	\(0\)	\(0\)	\(0\)	\(3\)		\(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}-\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
722.2.e.g	\(6\)	\(5.765\)	\(\Q(\zeta_{18})\)	None	\(0\)	\(0\)	\(0\)	\(9\)		\(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}-3\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
722.2.e.h	\(6\)	\(5.765\)	\(\Q(\zeta_{18})\)	None	\(0\)	\(0\)	\(0\)	\(9\)		\(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+3\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
722.2.e.i	\(6\)	\(5.765\)	\(\Q(\zeta_{18})\)	None	\(0\)	\(0\)	\(0\)	\(12\)		\(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
722.2.e.j	\(6\)	\(5.765\)	\(\Q(\zeta_{18})\)	None	\(0\)	\(0\)	\(0\)	\(12\)		\(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}-\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots\)
722.2.e.k	\(6\)	\(5.765\)	\(\Q(\zeta_{18})\)	None	\(0\)	\(3\)	\(0\)	\(-6\)		\(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+(\zeta_{18}^{2}+\zeta_{18}^{3}+\cdots)q^{3}+\cdots\)
722.2.e.l	\(6\)	\(5.765\)	\(\Q(\zeta_{18})\)	None	\(0\)	\(3\)	\(0\)	\(-6\)		\(q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+(1-\zeta_{18}^{3}+\zeta_{18}^{5})q^{3}+\cdots\)
722.2.e.m	\(6\)	\(5.765\)	\(\Q(\zeta_{18})\)	None	\(0\)	\(6\)	\(0\)	\(-6\)		\(q+(\zeta_{18}-\zeta_{18}^{4})q^{2}+(1+\zeta_{18}^{2})q^{3}+\cdots\)
722.2.e.n	\(12\)	\(5.765\)	12.0.\(\cdots\).3	None	\(0\)	\(0\)	\(0\)	\(-6\)		\(q+\beta _{10}q^{2}+(-\beta _{1}-\beta _{7})q^{3}+\beta _{2}q^{4}+\cdots\)
722.2.e.o	\(12\)	\(5.765\)	12.0.\(\cdots\).3	None	\(0\)	\(0\)	\(0\)	\(-6\)		\(q-\beta _{10}q^{2}+(-\beta _{1}-\beta _{7})q^{3}+\beta _{2}q^{4}+\cdots\)
722.2.e.p	\(12\)	\(5.765\)	12.0.\(\cdots\).1	None	\(0\)	\(0\)	\(0\)	\(6\)		\(q-\beta _{9}q^{2}-2\beta _{7}q^{3}-\beta _{11}q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
722.2.e.q	\(12\)	\(5.765\)	12.0.\(\cdots\).1	None	\(0\)	\(0\)	\(0\)	\(6\)		\(q+(\beta _{3}-\beta _{9})q^{2}-2\beta _{1}q^{3}+(-\beta _{5}+\beta _{11})q^{4}+\cdots\)
722.2.e.r	\(24\)	\(5.765\)		None	\(0\)	\(0\)	\(0\)	\(6\)
722.2.e.s	\(24\)	\(5.765\)		None	\(0\)	\(0\)	\(0\)	\(6\)
722.2.g.a	\(288\)	\(5.765\)		None	\(16\)	\(-1\)	\(1\)	\(2\)
722.2.g.b	\(306\)	\(5.765\)		None	\(-17\)	\(16\)	\(-1\)	\(-10\)
722.2.i.a	\(576\)	\(5.765\)		None	\(-16\)	\(1\)	\(-1\)	\(10\)

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L-functions

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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.