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Level	Weight	Analytic conductor	Analytic rank	Dim.

Bad $p$	Char.	Primitive character	Character order	Is maximal/largest

Coefficient field	Self-twists	CM/RM discriminant	Inner twist count	Is self-dual

Coefficient ring index	Coefficient ring gens.	Is twist minimal	Projective image

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Results (1-50 of 2498 matches)

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Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	Traces				Coefficient ring index	Sato-Tate	$q$-expansion
Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	Image	CM	RM	Self-dual	Twist minimal	Largest	Maximal	Minimal twist	Inner twists	Rank*	$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$	Coefficient ring index	Sato-Tate	$q$-expansion
161.1.l.a	$161$	$1$	161.l	161.l	$22$	$10$	$1$	$0.080$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-7}) $	None		✓	✓	✓	161.1.l.a	$4$	$0$	$-2$	$0$	$0$	$-1$	$1$		$q+(-\zeta_{22}+\zeta_{22}^{8})q^{2}+(\zeta_{22}^{2}-\zeta_{22}^{5}+\cdots)q^{4}+\cdots$
201.1.k.a	$201$	$1$	201.k	201.k	$22$	$10$	$1$	$0.100$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	201.1.k.a	$4$	$0$	$0$	$-1$	$0$	$-2$	$1$		$q-\zeta_{22}^{7}q^{3}+\zeta_{22}^{6}q^{4}+(\zeta_{22}^{8}-\zeta_{22}^{9}+\cdots)q^{7}+\cdots$
212.1.i.a	$212$	$1$	212.i	212.i	$26$	$12$	$1$	$0.106$	$\Q(\zeta_{26})$	$D_{13}$	$\Q(\sqrt{-1}) $	None		✓	✓	✓	212.1.i.a	$4$	$0$	$-1$	$0$	$-2$	$0$	$1$		$q+\zeta_{26}^{6}q^{2}+\zeta_{26}^{12}q^{4}+(\zeta_{26}^{8}+\zeta_{26}^{10}+\cdots)q^{5}+\cdots$
237.1.k.a	$237$	$1$	237.k	237.k	$26$	$12$	$1$	$0.118$	$\Q(\zeta_{26})$	$D_{13}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	237.1.k.a	$4$	$0$	$0$	$-1$	$0$	$-2$	$1$		$q+\zeta_{26}^{2}q^{3}-\zeta_{26}^{3}q^{4}+(\zeta_{26}^{8}-\zeta_{26}^{9}+\cdots)q^{7}+\cdots$
244.1.u.a	$244$	$1$	244.u	244.u	$30$	$8$	$1$	$0.122$	$\Q(\zeta_{15})$	$D_{15}$	$\Q(\sqrt{-1}) $	None		✓	✓	✓	244.1.u.a	$4$	$0$	$1$	$0$	$-6$	$0$	$1$		$q+\zeta_{30}^{14}q^{2}-\zeta_{30}^{13}q^{4}+(\zeta_{30}^{6}+\zeta_{30}^{10}+\cdots)q^{5}+\cdots$
253.1.k.a	$253$	$1$	253.k	253.k	$22$	$10$	$1$	$0.126$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-11}) $	None		✓	✓	✓	253.1.k.a	$4$	$0$	$0$	$-2$	$-2$	$0$	$1$		$q+(\zeta_{22}^{8}+\zeta_{22}^{10})q^{3}-\zeta_{22}^{5}q^{4}+(-\zeta_{22}+\cdots)q^{5}+\cdots$
301.1.bc.a	$301$	$1$	301.bc	301.ac	$42$	$12$	$1$	$0.150$	$\Q(\zeta_{21})$	$D_{21}$	$\Q(\sqrt{-7}) $	None		✓	✓	✓	301.1.bc.a	$4$	$0$	$2$	$0$	$0$	$-6$	$1$		$q+(\zeta_{42}^{16}+\zeta_{42}^{20})q^{2}+(-\zeta_{42}^{11}+\cdots)q^{4}+\cdots$
309.1.l.a	$309$	$1$	309.l	309.l	$34$	$16$	$1$	$0.154$	$\Q(\zeta_{34})$	$D_{17}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	309.1.l.a	$4$	$0$	$0$	$-1$	$0$	$-2$	$1$		$q+\zeta_{34}^{6}q^{3}-\zeta_{34}^{7}q^{4}+(\zeta_{34}^{4}-\zeta_{34}^{9}+\cdots)q^{7}+\cdots$
341.1.by.a	$341$	$1$	341.by	341.ay	$30$	$8$	$1$	$0.170$	$\Q(\zeta_{15})$	$D_{15}$	$\Q(\sqrt{-11}) $	None		✓	✓	✓	341.1.by.a	$4$	$0$	$0$	$2$	$-1$	$0$	$1$		$q+(\zeta_{30}^{2}+\zeta_{30}^{14})q^{3}-\zeta_{30}^{9}q^{4}+(\zeta_{30}^{8}+\cdots)q^{5}+\cdots$
344.1.be.a	$344$	$1$	344.be	344.ae	$42$	$12$	$1$	$0.172$	$\Q(\zeta_{21})$	$D_{21}$	$\Q(\sqrt{-2}) $	None		✓	✓	✓	344.1.be.a	$4$	$0$	$-2$	$2$	$0$	$0$	$1$		$q-\zeta_{42}^{15}q^{2}+(\zeta_{42}^{8}-\zeta_{42}^{11})q^{3}+\cdots$
345.1.p.a	$345$	$1$	345.p	345.p	$22$	$10$	$1$	$0.172$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-15}) $	None		✓			345.1.p.a	$4$	$0$	$-2$	$-1$	$-1$	$0$	$1$		$q+(-\zeta_{22}^{3}-\zeta_{22}^{5})q^{2}+\zeta_{22}^{10}q^{3}+\cdots$
345.1.p.b	$345$	$1$	345.p	345.p	$22$	$10$	$1$	$0.172$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-15}) $	None		✓			345.1.p.a	$4$	$0$	$2$	$1$	$1$	$0$	$1$		$q+(\zeta_{22}^{3}+\zeta_{22}^{5})q^{2}-\zeta_{22}^{10}q^{3}+(\zeta_{22}^{6}+\cdots)q^{4}+\cdots$
356.1.j.a	$356$	$1$	356.j	356.j	$22$	$10$	$1$	$0.178$	$\Q(\zeta_{22})$	$D_{22}$	$\Q(\sqrt{-1}) $	None		✓	✓	✓	356.1.j.a	$4$	$0$	$1$	$0$	$-2$	$0$	$1$		$q+\zeta_{22}^{3}q^{2}+\zeta_{22}^{6}q^{4}+(\zeta_{22}^{8}+\zeta_{22}^{10}+\cdots)q^{5}+\cdots$
356.1.l.a	$356$	$1$	356.l	356.l	$22$	$10$	$1$	$0.178$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-1}) $	None		✓	✓	✓	356.1.l.a	$4$	$0$	$-1$	$0$	$-2$	$0$	$1$		$q+\zeta_{22}^{6}q^{2}-\zeta_{22}q^{4}+(-\zeta_{22}^{5}-\zeta_{22}^{9}+\cdots)q^{5}+\cdots$
371.1.n.a	$371$	$1$	371.n	371.n	$26$	$12$	$1$	$0.185$	$\Q(\zeta_{26})$	$D_{13}$	$\Q(\sqrt{-7}) $	None		✓	✓	✓	371.1.n.a	$4$	$0$	$-2$	$0$	$0$	$-1$	$1$		$q+(-\zeta_{26}+\zeta_{26}^{6})q^{2}+(\zeta_{26}^{2}-\zeta_{26}^{7}+\cdots)q^{4}+\cdots$
371.1.o.a	$371$	$1$	371.o	371.o	$26$	$12$	$1$	$0.185$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-7}) $	None		✓	✓	✓	371.1.o.a	$4$	$0$	$0$	$0$	$0$	$-1$	$1$		$q+(-\zeta_{26}^{8}-\zeta_{26}^{9})q^{2}+(-\zeta_{26}^{3}-\zeta_{26}^{4}+\cdots)q^{4}+\cdots$
372.1.be.a	$372$	$1$	372.be	93.o	$30$	$8$	$1$	$0.186$	$\Q(\zeta_{15})$	$D_{15}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	372.1.be.a	$4$	$0$	$0$	$1$	$0$	$2$	$1$		$q-\zeta_{30}^{7}q^{3}+(\zeta_{30}^{4}-\zeta_{30}^{13})q^{7}+\zeta_{30}^{14}q^{9}+\cdots$
381.1.t.a	$381$	$1$	381.t	381.t	$42$	$12$	$1$	$0.190$	$\Q(\zeta_{21})$	$D_{21}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	381.1.t.a	$4$	$0$	$0$	$1$	$0$	$-5$	$1$		$q-\zeta_{42}^{11}q^{3}-\zeta_{42}^{9}q^{4}+(\zeta_{42}^{14}-\zeta_{42}^{17}+\cdots)q^{7}+\cdots$
388.1.r.a	$388$	$1$	388.r	388.r	$24$	$8$	$1$	$0.194$	$\Q(\zeta_{24})$	$D_{24}$	$\Q(\sqrt{-1}) $	None		✓	✓	✓	388.1.r.a	$4$	$0$	$0$	$0$	$4$	$0$	$1$		$q-\zeta_{24}^{11}q^{2}-\zeta_{24}^{10}q^{4}+(-\zeta_{24}^{3}+\cdots)q^{5}+\cdots$
404.1.o.a	$404$	$1$	404.o	404.o	$50$	$20$	$1$	$0.202$	$\Q(\zeta_{50})$	$D_{25}$	$\Q(\sqrt{-1}) $	None		✓	✓	✓	404.1.o.a	$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{50}^{4}q^{2}+\zeta_{50}^{8}q^{4}+(\zeta_{50}^{18}+\zeta_{50}^{24}+\cdots)q^{5}+\cdots$
417.1.l.a	$417$	$1$	417.l	417.l	$46$	$22$	$1$	$0.208$	$\Q(\zeta_{46})$	$D_{23}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	417.1.l.a	$4$	$0$	$0$	$-1$	$0$	$-2$	$1$		$q-\zeta_{46}^{21}q^{3}+\zeta_{46}^{10}q^{4}+(-\zeta_{46}+\cdots)q^{7}+\cdots$
436.1.v.a	$436$	$1$	436.v	436.v	$54$	$18$	$1$	$0.218$	$\Q(\zeta_{54})$	$D_{27}$	$\Q(\sqrt{-1}) $	None		✓	✓	✓	436.1.v.a	$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{54}^{15}q^{2}-\zeta_{54}^{3}q^{4}+(\zeta_{54}^{8}+\zeta_{54}^{14}+\cdots)q^{5}+\cdots$
437.1.o.a	$437$	$1$	437.o	437.o	$22$	$10$	$1$	$0.218$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-19}) $	None		✓	✓	✓	437.1.o.a	$4$	$0$	$0$	$0$	$-2$	$-2$	$1$		$q+\zeta_{22}^{8}q^{4}+(-\zeta_{22}-\zeta_{22}^{3})q^{5}+(-\zeta_{22}^{3}+\cdots)q^{7}+\cdots$
452.1.p.a	$452$	$1$	452.p	452.p	$28$	$12$	$1$	$0.226$	$\Q(\zeta_{28})$	$D_{28}$	$\Q(\sqrt{-1}) $	None		✓	✓	✓	452.1.p.a	$4$	$0$	$-2$	$0$	$2$	$0$	$1$		$q+\zeta_{28}^{4}q^{2}+\zeta_{28}^{8}q^{4}+(-\zeta_{28}+\zeta_{28}^{10}+\cdots)q^{5}+\cdots$
453.1.t.a	$453$	$1$	453.t	453.t	$50$	$20$	$1$	$0.226$	$\Q(\zeta_{50})$	$D_{25}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	453.1.t.a	$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{50}^{11}q^{3}-\zeta_{50}^{15}q^{4}+(\zeta_{50}^{6}-\zeta_{50}^{23}+\cdots)q^{7}+\cdots$
460.1.n.a	$460$	$1$	460.n	460.n	$22$	$10$	$1$	$0.230$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-5}) $	None		✓			460.1.n.a	$4$	$0$	$-1$	$-2$	$-1$	$9$	$1$		$q+\zeta_{22}^{10}q^{2}+(\zeta_{22}^{2}+\zeta_{22}^{4})q^{3}-\zeta_{22}^{9}q^{4}+\cdots$
460.1.n.b	$460$	$1$	460.n	460.n	$22$	$10$	$1$	$0.230$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-5}) $	None		✓			460.1.n.a	$4$	$0$	$1$	$2$	$-1$	$-9$	$1$		$q-\zeta_{22}^{10}q^{2}+(-\zeta_{22}^{2}-\zeta_{22}^{4})q^{3}+\cdots$
465.1.bl.a	$465$	$1$	465.bl	465.al	$30$	$8$	$1$	$0.232$	$\Q(\zeta_{15})$	$D_{15}$	$\Q(\sqrt{-15}) $	None		✓			465.1.bl.a	$4$	$0$	$-2$	$-1$	$4$	$0$	$1$		$q+(\zeta_{30}^{11}+\zeta_{30}^{13})q^{2}-\zeta_{30}^{8}q^{3}+\cdots$
465.1.bl.b	$465$	$1$	465.bl	465.al	$30$	$8$	$1$	$0.232$	$\Q(\zeta_{15})$	$D_{15}$	$\Q(\sqrt{-15}) $	None		✓			465.1.bl.a	$4$	$0$	$2$	$1$	$-4$	$0$	$1$		$q+(-\zeta_{30}^{11}-\zeta_{30}^{13})q^{2}+\zeta_{30}^{8}q^{3}+\cdots$
469.1.v.a	$469$	$1$	469.v	469.v	$22$	$10$	$1$	$0.234$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-7}) $	None		✓	✓	✓	469.1.v.a	$4$	$0$	$-2$	$0$	$0$	$-1$	$1$		$q+(-\zeta_{22}^{9}+\zeta_{22}^{10})q^{2}+(-\zeta_{22}^{7}+\cdots)q^{4}+\cdots$
469.1.bl.a	$469$	$1$	469.bl	469.al	$66$	$20$	$1$	$0.234$	$\Q(\zeta_{33})$	$D_{33}$	$\Q(\sqrt{-7}) $	None		✓	✓	✓	469.1.bl.a	$4$	$0$	$2$	$0$	$0$	$1$	$1$		$q+(\zeta_{66}^{10}+\zeta_{66}^{16})q^{2}+(\zeta_{66}^{20}+\zeta_{66}^{26}+\cdots)q^{4}+\cdots$
471.1.n.a	$471$	$1$	471.n	471.n	$26$	$12$	$1$	$0.235$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	471.1.n.a	$4$	$0$	$0$	$-1$	$0$	$0$	$1$		$q+\zeta_{26}^{2}q^{3}+\zeta_{26}^{11}q^{4}+(\zeta_{26}^{5}+\zeta_{26}^{12}+\cdots)q^{7}+\cdots$
471.1.o.a	$471$	$1$	471.o	471.o	$26$	$12$	$1$	$0.235$	$\Q(\zeta_{26})$	$D_{13}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	471.1.o.a	$4$	$0$	$0$	$-1$	$0$	$-2$	$1$		$q-\zeta_{26}^{3}q^{3}+\zeta_{26}^{10}q^{4}+(-\zeta_{26}-\zeta_{26}^{5}+\cdots)q^{7}+\cdots$
472.1.k.a	$472$	$1$	472.k	472.k	$58$	$28$	$1$	$0.236$	$\Q(\zeta_{58})$	$D_{29}$	$\Q(\sqrt{-2}) $	None		✓	✓	✓	472.1.k.a	$4$	$0$	$-1$	$-2$	$0$	$0$	$1$		$q+\zeta_{58}^{4}q^{2}+(-\zeta_{58}^{5}+\zeta_{58}^{18})q^{3}+\cdots$
489.1.p.a	$489$	$1$	489.p	489.p	$54$	$18$	$1$	$0.244$	$\Q(\zeta_{54})$	$D_{27}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	489.1.p.a	$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q+\zeta_{54}^{14}q^{3}-\zeta_{54}^{23}q^{4}+(\zeta_{54}^{12}+\cdots)q^{7}+\cdots$
497.1.ba.a	$497$	$1$	497.ba	497.aa	$70$	$24$	$1$	$0.248$	$\Q(\zeta_{35})$	$D_{35}$	$\Q(\sqrt{-7}) $	None		✓	✓	✓	497.1.ba.a	$4$	$0$	$-3$	$0$	$0$	$1$	$1$		$q+(\zeta_{70}^{12}+\zeta_{70}^{20})q^{2}+(-\zeta_{70}^{5}+\zeta_{70}^{24}+\cdots)q^{4}+\cdots$
500.1.p.a	$500$	$1$	500.p	500.p	$50$	$20$	$1$	$0.250$	$\Q(\zeta_{50})$	$D_{25}$	$\Q(\sqrt{-1}) $	None		✓	✓	✓	500.1.p.a	$4$	$0$	$0$	$0$	$0$	$0$	$1$		$q-\zeta_{50}^{13}q^{2}-\zeta_{50}q^{4}-\zeta_{50}^{9}q^{5}+\cdots$
507.1.n.a	$507$	$1$	507.n	507.n	$26$	$12$	$1$	$0.253$	$\Q(\zeta_{26})$	$D_{26}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	507.1.n.a	$4$	$0$	$0$	$1$	$0$	$0$	$1$		$q+\zeta_{26}^{7}q^{3}-\zeta_{26}^{2}q^{4}+(\zeta_{26}^{9}+\zeta_{26}^{10}+\cdots)q^{7}+\cdots$
507.1.o.a	$507$	$1$	507.o	507.o	$26$	$12$	$1$	$0.253$	$\Q(\zeta_{26})$	$D_{13}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	507.1.o.a	$4$	$0$	$0$	$-1$	$0$	$-2$	$1$		$q-\zeta_{26}^{7}q^{3}+\zeta_{26}^{2}q^{4}+(-\zeta_{26}^{9}+\zeta_{26}^{10}+\cdots)q^{7}+\cdots$
516.1.z.a	$516$	$1$	516.z	129.o	$42$	$12$	$1$	$0.258$	$\Q(\zeta_{21})$	$D_{21}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	516.1.z.a	$4$	$0$	$0$	$1$	$0$	$-1$	$1$		$q-\zeta_{42}q^{3}+(\zeta_{42}^{10}+\zeta_{42}^{18})q^{7}+\zeta_{42}^{2}q^{9}+\cdots$
517.1.k.a	$517$	$1$	517.k	517.k	$46$	$22$	$1$	$0.258$	$\Q(\zeta_{46})$	$D_{23}$	$\Q(\sqrt{-11}) $	None		✓	✓	✓	517.1.k.a	$4$	$0$	$0$	$-2$	$-2$	$0$	$1$		$q+(\zeta_{46}^{16}+\zeta_{46}^{20})q^{3}+\zeta_{46}^{14}q^{4}+\cdots$
529.1.d.a	$529$	$1$	529.d	23.d	$22$	$10$	$1$	$0.264$	$\Q(\zeta_{22})$	$D_{3}$	$\Q(\sqrt{-23}) $	None			✓	✓	23.1.b.a	$20$	$0$	$1$	$1$	$0$	$0$	$1$		$q-\zeta_{22}^{2}q^{2}+\zeta_{22}^{5}q^{3}-\zeta_{22}^{7}q^{6}+\cdots$
536.1.t.a	$536$	$1$	536.t	536.t	$22$	$10$	$1$	$0.267$	$\Q(\zeta_{22})$	$D_{11}$	$\Q(\sqrt{-2}) $	None		✓	✓	✓	536.1.t.a	$4$	$0$	$-1$	$-2$	$0$	$0$	$1$		$q-\zeta_{22}^{7}q^{2}+(\zeta_{22}^{8}+\zeta_{22}^{10})q^{3}-\zeta_{22}^{3}q^{4}+\cdots$
536.1.ba.a	$536$	$1$	536.ba	536.aa	$66$	$20$	$1$	$0.267$	$\Q(\zeta_{33})$	$D_{33}$	$\Q(\sqrt{-2}) $	None		✓	✓	✓	536.1.ba.a	$4$	$0$	$1$	$2$	$0$	$0$	$1$		$q-\zeta_{66}^{23}q^{2}+(\zeta_{66}^{14}-\zeta_{66}^{31})q^{3}+\cdots$
539.1.t.a	$539$	$1$	539.t	77.o	$30$	$8$	$1$	$0.269$	$\Q(\zeta_{15})$	$D_{10}$	$\Q(\sqrt{-7}) $	None		✓	✓	✓	539.1.l.a	$8$	$0$	$0$	$0$	$0$	$0$	$1$		$q+(-\zeta_{30}^{4}-\zeta_{30}^{13})q^{2}+(-\zeta_{30}^{2}+\cdots)q^{4}+\cdots$
539.1.u.a	$539$	$1$	539.u	77.p	$30$	$8$	$1$	$0.269$	$\Q(\zeta_{15})$	$D_{5}$	$\Q(\sqrt{-7}) $	None			✓	✓	77.1.j.a	$8$	$0$	$2$	$0$	$0$	$0$	$1$		$q+(\zeta_{30}^{8}-\zeta_{30}^{11})q^{2}+(-\zeta_{30}+\zeta_{30}^{4}+\cdots)q^{4}+\cdots$
543.1.y.a	$543$	$1$	543.y	543.y	$30$	$8$	$1$	$0.271$	$\Q(\zeta_{15})$	$D_{15}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	543.1.y.a	$4$	$0$	$0$	$1$	$0$	$-4$	$1$		$q-\zeta_{30}^{11}q^{3}+\zeta_{30}^{2}q^{4}+(-\zeta_{30}^{3}+\cdots)q^{7}+\cdots$
543.1.z.a	$543$	$1$	543.z	543.z	$30$	$8$	$1$	$0.271$	$\Q(\zeta_{15})$	$D_{30}$	$\Q(\sqrt{-3}) $	None		✓	✓	✓	543.1.z.a	$4$	$0$	$0$	$-1$	$0$	$0$	$1$		$q+\zeta_{30}^{7}q^{3}-\zeta_{30}^{4}q^{4}+(\zeta_{30}^{6}+\zeta_{30}^{9}+\cdots)q^{7}+\cdots$
548.1.j.a	$548$	$1$	548.j	548.j	$34$	$16$	$1$	$0.273$	$\Q(\zeta_{34})$	$D_{34}$	$\Q(\sqrt{-1}) $	None		✓	✓	✓	548.1.j.a	$4$	$0$	$-1$	$0$	$0$	$0$	$1$		$q+\zeta_{34}^{10}q^{2}-\zeta_{34}^{3}q^{4}+(-\zeta_{34}+\zeta_{34}^{13}+\cdots)q^{5}+\cdots$
548.1.k.a	$548$	$1$	548.k	548.k	$34$	$16$	$1$	$0.273$	$\Q(\zeta_{34})$	$D_{17}$	$\Q(\sqrt{-1}) $	None		✓	✓	✓	548.1.k.a	$4$	$0$	$-1$	$0$	$-2$	$0$	$1$		$q-\zeta_{34}^{7}q^{2}+\zeta_{34}^{14}q^{4}+(\zeta_{34}^{4}+\zeta_{34}^{16}+\cdots)q^{5}+\cdots$

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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.