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 (37 matches)

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Label	Dim.	$A$	Field	CM	Traces				A-L signs			$q$-expansion
Label	Dim.	$A$	Field	CM	$a_2$	$a_3$	$a_5$	$a_7$	3	11	13	$q$-expansion
5577.2.a.a	$1$	$44.533$	$\Q$	None	$-1$	$-1$	$2$	$-4$	$+$	$+$	$+$	$q-q^{2}-q^{3}-q^{4}+2q^{5}+q^{6}-4q^{7}+\cdots$
5577.2.a.b	$1$	$44.533$	$\Q$	None	$0$	$-1$	$-2$	$-1$	$+$	$-$	$+$	$q-q^{3}-2q^{4}-2q^{5}-q^{7}+q^{9}+q^{11}+\cdots$
5577.2.a.c	$1$	$44.533$	$\Q$	None	$0$	$-1$	$-2$	$3$	$+$	$+$	$+$	$q-q^{3}-2q^{4}-2q^{5}+3q^{7}+q^{9}-q^{11}+\cdots$
5577.2.a.d	$1$	$44.533$	$\Q$	None	$0$	$-1$	$2$	$-3$	$+$	$-$	$+$	$q-q^{3}-2q^{4}+2q^{5}-3q^{7}+q^{9}+q^{11}+\cdots$
5577.2.a.e	$1$	$44.533$	$\Q$	None	$0$	$-1$	$2$	$1$	$+$	$+$	$+$	$q-q^{3}-2q^{4}+2q^{5}+q^{7}+q^{9}-q^{11}+\cdots$
5577.2.a.f	$1$	$44.533$	$\Q$	None	$1$	$-1$	$0$	$0$	$+$	$+$	$+$	$q+q^{2}-q^{3}-q^{4}-q^{6}-3q^{8}+q^{9}+\cdots$
5577.2.a.g	$1$	$44.533$	$\Q$	None	$1$	$1$	$2$	$0$	$-$	$-$	$+$	$q+q^{2}+q^{3}-q^{4}+2q^{5}+q^{6}-3q^{8}+\cdots$
5577.2.a.h	$2$	$44.533$	$\Q(\sqrt{3}) $	None	$0$	$-2$	$2$	$4$	$+$	$-$	$+$	$q+\beta q^{2}-q^{3}+q^{4}+(1-\beta )q^{5}-\beta q^{6}+\cdots$
5577.2.a.i	$2$	$44.533$	$\Q(\sqrt{2}) $	None	$2$	$2$	$4$	$4$	$-$	$+$	$+$	$q+(1+\beta )q^{2}+q^{3}+(1+2\beta )q^{4}+(2+\beta )q^{5}+\cdots$
5577.2.a.j	$3$	$44.533$	3.3.148.1	None	$-3$	$3$	$-4$	$2$	$-$	$-$	$+$	$q+(-1-\beta _{2})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots$
5577.2.a.k	$3$	$44.533$	3.3.148.1	None	$-1$	$3$	$0$	$2$	$-$	$+$	$+$	$q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+\beta _{2}q^{5}+\cdots$
5577.2.a.l	$3$	$44.533$	3.3.564.1	None	$1$	$-3$	$2$	$-2$	$+$	$+$	$+$	$q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots$
5577.2.a.m	$4$	$44.533$	4.4.8468.1	None	$2$	$-4$	$0$	$-2$	$+$	$-$	$+$	$q-\beta _{2}q^{2}-q^{3}+(2-\beta _{1})q^{4}-\beta _{3}q^{5}+\cdots$
5577.2.a.n	$5$	$44.533$	5.5.233489.1	None	$-4$	$5$	$-4$	$-3$	$-$	$-$	$+$	$q+(-1+\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$
5577.2.a.o	$5$	$44.533$	5.5.863825.1	None	$-2$	$-5$	$2$	$-9$	$+$	$+$	$+$	$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots$
5577.2.a.p	$5$	$44.533$	5.5.181057.1	None	$-2$	$5$	$-8$	$-9$	$-$	$-$	$+$	$q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots$
5577.2.a.q	$5$	$44.533$	5.5.503376.1	None	$-1$	$-5$	$2$	$-6$	$+$	$-$	$-$	$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots$
5577.2.a.r	$5$	$44.533$	5.5.1019601.1	None	$0$	$-5$	$-2$	$7$	$+$	$-$	$+$	$q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2}+\beta _{3})q^{4}+\beta _{3}q^{5}+\cdots$
5577.2.a.s	$5$	$44.533$	5.5.1019601.1	None	$0$	$-5$	$2$	$-7$	$+$	$+$	$+$	$q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2}+\beta _{3})q^{4}-\beta _{3}q^{5}+\cdots$
5577.2.a.t	$5$	$44.533$	5.5.503376.1	None	$1$	$-5$	$-2$	$6$	$+$	$+$	$-$	$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots$
5577.2.a.u	$5$	$44.533$	5.5.863825.1	None	$2$	$-5$	$-2$	$9$	$+$	$-$	$+$	$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$
5577.2.a.v	$5$	$44.533$	5.5.181057.1	None	$2$	$5$	$8$	$9$	$-$	$+$	$+$	$q+\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+(2+\beta _{3}+\cdots)q^{5}+\cdots$
5577.2.a.w	$5$	$44.533$	5.5.233489.1	None	$4$	$5$	$4$	$3$	$-$	$+$	$+$	$q+(1-\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2}+\beta _{4})q^{4}+\cdots$
5577.2.a.x	$7$	$44.533$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	$-3$	$7$	$-6$	$-6$	$-$	$+$	$-$	$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots$
5577.2.a.y	$7$	$44.533$	$\mathbb{Q}[x]/(x^{7} - \cdots)$	None	$3$	$7$	$6$	$6$	$-$	$-$	$-$	$q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots$
5577.2.a.z	$12$	$44.533$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	$-2$	$-12$	$4$	$-12$	$+$	$-$	$-$	$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots$
5577.2.a.ba	$12$	$44.533$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	$-1$	$-12$	$6$	$1$	$+$	$+$	$+$	$q-\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+(\beta _{2}+\beta _{6}+\beta _{9}+\cdots)q^{5}+\cdots$
5577.2.a.bb	$12$	$44.533$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	$-1$	$12$	$6$	$1$	$-$	$+$	$-$	$q-\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+(\beta _{3}-\beta _{5}+\beta _{11})q^{5}+\cdots$
5577.2.a.bc	$12$	$44.533$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	$1$	$-12$	$-6$	$-1$	$+$	$-$	$-$	$q+\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+(-\beta _{2}-\beta _{6}+\cdots)q^{5}+\cdots$
5577.2.a.bd	$12$	$44.533$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	$1$	$12$	$-6$	$-1$	$-$	$-$	$+$	$q+\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+(-\beta _{3}+\beta _{5}+\cdots)q^{5}+\cdots$
5577.2.a.be	$12$	$44.533$	$\mathbb{Q}[x]/(x^{12} - \cdots)$	None	$2$	$-12$	$-4$	$12$	$+$	$+$	$-$	$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots$
5577.2.a.bf	$14$	$44.533$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None	$-6$	$14$	$-12$	$-12$	$-$	$+$	$-$	$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{9}+\cdots)q^{5}+\cdots$
5577.2.a.bg	$14$	$44.533$	$\mathbb{Q}[x]/(x^{14} - \cdots)$	None	$6$	$14$	$12$	$12$	$-$	$-$	$-$	$q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{9}+\cdots)q^{5}+\cdots$
5577.2.a.bh	$18$	$44.533$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	$-1$	$-18$	$6$	$-1$	$+$	$-$	$+$	$q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(\beta _{5}+\beta _{13}+\cdots)q^{5}+\cdots$
5577.2.a.bi	$18$	$44.533$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	$-1$	$18$	$6$	$-1$	$-$	$-$	$-$	$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{10}q^{5}+\cdots$
5577.2.a.bj	$18$	$44.533$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	$1$	$-18$	$-6$	$1$	$+$	$+$	$-$	$q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-\beta _{5}+\cdots)q^{5}+\cdots$
5577.2.a.bk	$18$	$44.533$	$\mathbb{Q}[x]/(x^{18} - \cdots)$	None	$1$	$18$	$-6$	$1$	$-$	$+$	$+$	$q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{10}q^{5}+\cdots$

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

Label	Dim.	\(A\)	Field	CM	Traces				A-L signs			$q$-expansion
Label	Dim.	\(A\)	Field	CM	\(a_2\)	\(a_3\)	\(a_5\)	\(a_7\)	3	11	13	$q$-expansion
5577.2.a.a	\(1\)	\(44.533\)	\(\Q\)	None	\(-1\)	\(-1\)	\(2\)	\(-4\)	\(+\)	\(+\)	\(+\)	\(q-q^{2}-q^{3}-q^{4}+2q^{5}+q^{6}-4q^{7}+\cdots\)
5577.2.a.b	\(1\)	\(44.533\)	\(\Q\)	None	\(0\)	\(-1\)	\(-2\)	\(-1\)	\(+\)	\(-\)	\(+\)	\(q-q^{3}-2q^{4}-2q^{5}-q^{7}+q^{9}+q^{11}+\cdots\)
5577.2.a.c	\(1\)	\(44.533\)	\(\Q\)	None	\(0\)	\(-1\)	\(-2\)	\(3\)	\(+\)	\(+\)	\(+\)	\(q-q^{3}-2q^{4}-2q^{5}+3q^{7}+q^{9}-q^{11}+\cdots\)
5577.2.a.d	\(1\)	\(44.533\)	\(\Q\)	None	\(0\)	\(-1\)	\(2\)	\(-3\)	\(+\)	\(-\)	\(+\)	\(q-q^{3}-2q^{4}+2q^{5}-3q^{7}+q^{9}+q^{11}+\cdots\)
5577.2.a.e	\(1\)	\(44.533\)	\(\Q\)	None	\(0\)	\(-1\)	\(2\)	\(1\)	\(+\)	\(+\)	\(+\)	\(q-q^{3}-2q^{4}+2q^{5}+q^{7}+q^{9}-q^{11}+\cdots\)
5577.2.a.f	\(1\)	\(44.533\)	\(\Q\)	None	\(1\)	\(-1\)	\(0\)	\(0\)	\(+\)	\(+\)	\(+\)	\(q+q^{2}-q^{3}-q^{4}-q^{6}-3q^{8}+q^{9}+\cdots\)
5577.2.a.g	\(1\)	\(44.533\)	\(\Q\)	None	\(1\)	\(1\)	\(2\)	\(0\)	\(-\)	\(-\)	\(+\)	\(q+q^{2}+q^{3}-q^{4}+2q^{5}+q^{6}-3q^{8}+\cdots\)
5577.2.a.h	\(2\)	\(44.533\)	\(\Q(\sqrt{3}) \)	None	\(0\)	\(-2\)	\(2\)	\(4\)	\(+\)	\(-\)	\(+\)	\(q+\beta q^{2}-q^{3}+q^{4}+(1-\beta )q^{5}-\beta q^{6}+\cdots\)
5577.2.a.i	\(2\)	\(44.533\)	\(\Q(\sqrt{2}) \)	None	\(2\)	\(2\)	\(4\)	\(4\)	\(-\)	\(+\)	\(+\)	\(q+(1+\beta )q^{2}+q^{3}+(1+2\beta )q^{4}+(2+\beta )q^{5}+\cdots\)
5577.2.a.j	\(3\)	\(44.533\)	3.3.148.1	None	\(-3\)	\(3\)	\(-4\)	\(2\)	\(-\)	\(-\)	\(+\)	\(q+(-1-\beta _{2})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
5577.2.a.k	\(3\)	\(44.533\)	3.3.148.1	None	\(-1\)	\(3\)	\(0\)	\(2\)	\(-\)	\(+\)	\(+\)	\(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+\beta _{2}q^{5}+\cdots\)
5577.2.a.l	\(3\)	\(44.533\)	3.3.564.1	None	\(1\)	\(-3\)	\(2\)	\(-2\)	\(+\)	\(+\)	\(+\)	\(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots\)
5577.2.a.m	\(4\)	\(44.533\)	4.4.8468.1	None	\(2\)	\(-4\)	\(0\)	\(-2\)	\(+\)	\(-\)	\(+\)	\(q-\beta _{2}q^{2}-q^{3}+(2-\beta _{1})q^{4}-\beta _{3}q^{5}+\cdots\)
5577.2.a.n	\(5\)	\(44.533\)	5.5.233489.1	None	\(-4\)	\(5\)	\(-4\)	\(-3\)	\(-\)	\(-\)	\(+\)	\(q+(-1+\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
5577.2.a.o	\(5\)	\(44.533\)	5.5.863825.1	None	\(-2\)	\(-5\)	\(2\)	\(-9\)	\(+\)	\(+\)	\(+\)	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
5577.2.a.p	\(5\)	\(44.533\)	5.5.181057.1	None	\(-2\)	\(5\)	\(-8\)	\(-9\)	\(-\)	\(-\)	\(+\)	\(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+(-2+\cdots)q^{5}+\cdots\)
5577.2.a.q	\(5\)	\(44.533\)	5.5.503376.1	None	\(-1\)	\(-5\)	\(2\)	\(-6\)	\(+\)	\(-\)	\(-\)	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots\)
5577.2.a.r	\(5\)	\(44.533\)	5.5.1019601.1	None	\(0\)	\(-5\)	\(-2\)	\(7\)	\(+\)	\(-\)	\(+\)	\(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2}+\beta _{3})q^{4}+\beta _{3}q^{5}+\cdots\)
5577.2.a.s	\(5\)	\(44.533\)	5.5.1019601.1	None	\(0\)	\(-5\)	\(2\)	\(-7\)	\(+\)	\(+\)	\(+\)	\(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2}+\beta _{3})q^{4}-\beta _{3}q^{5}+\cdots\)
5577.2.a.t	\(5\)	\(44.533\)	5.5.503376.1	None	\(1\)	\(-5\)	\(-2\)	\(6\)	\(+\)	\(+\)	\(-\)	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots\)
5577.2.a.u	\(5\)	\(44.533\)	5.5.863825.1	None	\(2\)	\(-5\)	\(-2\)	\(9\)	\(+\)	\(-\)	\(+\)	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
5577.2.a.v	\(5\)	\(44.533\)	5.5.181057.1	None	\(2\)	\(5\)	\(8\)	\(9\)	\(-\)	\(+\)	\(+\)	\(q+\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}+(2+\beta _{3}+\cdots)q^{5}+\cdots\)
5577.2.a.w	\(5\)	\(44.533\)	5.5.233489.1	None	\(4\)	\(5\)	\(4\)	\(3\)	\(-\)	\(+\)	\(+\)	\(q+(1-\beta _{1})q^{2}+q^{3}+(1-\beta _{1}+\beta _{2}+\beta _{4})q^{4}+\cdots\)
5577.2.a.x	\(7\)	\(44.533\)	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	\(-3\)	\(7\)	\(-6\)	\(-6\)	\(-\)	\(+\)	\(-\)	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{5}+\cdots\)
5577.2.a.y	\(7\)	\(44.533\)	\(\mathbb{Q}[x]/(x^{7} - \cdots)\)	None	\(3\)	\(7\)	\(6\)	\(6\)	\(-\)	\(-\)	\(-\)	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots\)
5577.2.a.z	\(12\)	\(44.533\)	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	\(-2\)	\(-12\)	\(4\)	\(-12\)	\(+\)	\(-\)	\(-\)	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{3}q^{5}+\cdots\)
5577.2.a.ba	\(12\)	\(44.533\)	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	\(-1\)	\(-12\)	\(6\)	\(1\)	\(+\)	\(+\)	\(+\)	\(q-\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+(\beta _{2}+\beta _{6}+\beta _{9}+\cdots)q^{5}+\cdots\)
5577.2.a.bb	\(12\)	\(44.533\)	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	\(-1\)	\(12\)	\(6\)	\(1\)	\(-\)	\(+\)	\(-\)	\(q-\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+(\beta _{3}-\beta _{5}+\beta _{11})q^{5}+\cdots\)
5577.2.a.bc	\(12\)	\(44.533\)	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	\(1\)	\(-12\)	\(-6\)	\(-1\)	\(+\)	\(-\)	\(-\)	\(q+\beta _{1}q^{2}-q^{3}+\beta _{2}q^{4}+(-\beta _{2}-\beta _{6}+\cdots)q^{5}+\cdots\)
5577.2.a.bd	\(12\)	\(44.533\)	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	\(1\)	\(12\)	\(-6\)	\(-1\)	\(-\)	\(-\)	\(+\)	\(q+\beta _{1}q^{2}+q^{3}+\beta _{2}q^{4}+(-\beta _{3}+\beta _{5}+\cdots)q^{5}+\cdots\)
5577.2.a.be	\(12\)	\(44.533\)	\(\mathbb{Q}[x]/(x^{12} - \cdots)\)	None	\(2\)	\(-12\)	\(-4\)	\(12\)	\(+\)	\(+\)	\(-\)	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)
5577.2.a.bf	\(14\)	\(44.533\)	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	\(-6\)	\(14\)	\(-12\)	\(-12\)	\(-\)	\(+\)	\(-\)	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(-1+\beta _{9}+\cdots)q^{5}+\cdots\)
5577.2.a.bg	\(14\)	\(44.533\)	\(\mathbb{Q}[x]/(x^{14} - \cdots)\)	None	\(6\)	\(14\)	\(12\)	\(12\)	\(-\)	\(-\)	\(-\)	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+(1-\beta _{9}+\cdots)q^{5}+\cdots\)
5577.2.a.bh	\(18\)	\(44.533\)	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	\(-1\)	\(-18\)	\(6\)	\(-1\)	\(+\)	\(-\)	\(+\)	\(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(\beta _{5}+\beta _{13}+\cdots)q^{5}+\cdots\)
5577.2.a.bi	\(18\)	\(44.533\)	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	\(-1\)	\(18\)	\(6\)	\(-1\)	\(-\)	\(-\)	\(-\)	\(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{10}q^{5}+\cdots\)
5577.2.a.bj	\(18\)	\(44.533\)	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	\(1\)	\(-18\)	\(-6\)	\(1\)	\(+\)	\(+\)	\(-\)	\(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+(-\beta _{5}+\cdots)q^{5}+\cdots\)
5577.2.a.bk	\(18\)	\(44.533\)	\(\mathbb{Q}[x]/(x^{18} - \cdots)\)	None	\(1\)	\(18\)	\(-6\)	\(1\)	\(-\)	\(+\)	\(+\)	\(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{10}q^{5}+\cdots\)

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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.