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## Results (displaying matches 1-50 of at least 1000) Next

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
11.2.a.a $$1$$ $$0.088$$ $$\Q$$ None $$-2$$ $$-1$$ $$1$$ $$-2$$ $$-$$ $$q-2q^{2}-q^{3}+2q^{4}+q^{5}+2q^{6}-2q^{7}+\cdots$$
13.2.e.a $$2$$ $$0.104$$ $$\Q(\sqrt{-3})$$ None $$-3$$ $$-2$$ $$0$$ $$0$$ $$q+(-1-\zeta_{6})q^{2}+(-2+2\zeta_{6})q^{3}+\zeta_{6}q^{4}+\cdots$$
14.2.a.a $$1$$ $$0.112$$ $$\Q$$ None $$-1$$ $$-2$$ $$0$$ $$1$$ $$-$$ $$q-q^{2}-2q^{3}+q^{4}+2q^{6}+q^{7}-q^{8}+\cdots$$
15.2.a.a $$1$$ $$0.120$$ $$\Q$$ None $$-1$$ $$-1$$ $$1$$ $$0$$ $$-$$ $$q-q^{2}-q^{3}-q^{4}+q^{5}+q^{6}+3q^{8}+\cdots$$
16.2.e.a $$2$$ $$0.128$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$-2$$ $$-2$$ $$0$$ $$q+(-1-i)q^{2}+(-1+i)q^{3}+2iq^{4}+\cdots$$
17.2.a.a $$1$$ $$0.136$$ $$\Q$$ None $$-1$$ $$0$$ $$-2$$ $$4$$ $$-$$ $$q-q^{2}-q^{4}-2q^{5}+4q^{7}+3q^{8}-3q^{9}+\cdots$$
17.2.d.a $$4$$ $$0.136$$ $$\Q(\zeta_{8})$$ None $$-4$$ $$-4$$ $$0$$ $$-4$$ $$q+(-1+\zeta_{8}^{2}-\zeta_{8}^{3})q^{2}+(-1-\zeta_{8}+\cdots)q^{3}+\cdots$$
18.2.c.a $$2$$ $$0.144$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-3$$ $$0$$ $$-2$$ $$q-\zeta_{6}q^{2}+(-2+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
19.2.a.a $$1$$ $$0.152$$ $$\Q$$ None $$0$$ $$-2$$ $$3$$ $$-1$$ $$-$$ $$q-2q^{3}-2q^{4}+3q^{5}-q^{7}+q^{9}+3q^{11}+\cdots$$
19.2.e.a $$6$$ $$0.152$$ $$\Q(\zeta_{18})$$ None $$-6$$ $$-3$$ $$-6$$ $$0$$ $$q+(-1+\zeta_{18}-\zeta_{18}^{2})q^{2}+(-1+\zeta_{18}^{2}+\cdots)q^{3}+\cdots$$
20.2.a.a $$1$$ $$0.160$$ $$\Q$$ None $$0$$ $$-2$$ $$-1$$ $$2$$ $$-$$ $$q-2q^{3}-q^{5}+2q^{7}+q^{9}+2q^{13}+\cdots$$
20.2.e.a $$2$$ $$0.160$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ $$-2$$ $$0$$ $$-4$$ $$0$$ $$q+(-1-i)q^{2}+2iq^{4}+(-2+i)q^{5}+\cdots$$
21.2.a.a $$1$$ $$0.168$$ $$\Q$$ None $$-1$$ $$1$$ $$-2$$ $$-1$$ $$-$$ $$q-q^{2}+q^{3}-q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$$
21.2.e.a $$2$$ $$0.168$$ $$\Q(\sqrt{-3})$$ None $$-2$$ $$-1$$ $$2$$ $$-5$$ $$q+(-2+2\zeta_{6})q^{2}-\zeta_{6}q^{3}-2\zeta_{6}q^{4}+\cdots$$
21.2.g.a $$2$$ $$0.168$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ $$0$$ $$-3$$ $$0$$ $$1$$ $$q+(-1-\zeta_{6})q^{3}+(-2+2\zeta_{6})q^{4}+(2+\cdots)q^{7}+\cdots$$
22.2.c.a $$4$$ $$0.176$$ $$\Q(\zeta_{10})$$ None $$-1$$ $$-4$$ $$-6$$ $$2$$ $$q-\zeta_{10}q^{2}+(-1+\zeta_{10}-\zeta_{10}^{3})q^{3}+\cdots$$
23.2.a.a $$2$$ $$0.184$$ $$\Q(\sqrt{5})$$ None $$-1$$ $$0$$ $$-2$$ $$2$$ $$-$$ $$q-\beta q^{2}+(-1+2\beta )q^{3}+(-1+\beta )q^{4}+\cdots$$
23.2.c.a $$10$$ $$0.184$$ $$\Q(\zeta_{22})$$ None $$-7$$ $$-7$$ $$-3$$ $$-5$$ $$q+(-\zeta_{22}+\zeta_{22}^{4}-\zeta_{22}^{5}+\zeta_{22}^{6}+\cdots)q^{2}+\cdots$$
24.2.a.a $$1$$ $$0.192$$ $$\Q$$ None $$0$$ $$-1$$ $$-2$$ $$0$$ $$-$$ $$q-q^{3}-2q^{5}+q^{9}+4q^{11}-2q^{13}+\cdots$$
24.2.d.a $$2$$ $$0.192$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$0$$ $$-4$$ $$q+(-1+i)q^{2}+iq^{3}-2iq^{4}-2iq^{5}+\cdots$$
24.2.f.a $$2$$ $$0.192$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-2})$$ $$0$$ $$-2$$ $$0$$ $$0$$ $$q+\beta q^{2}+(-1-\beta )q^{3}-2q^{4}+(2-\beta )q^{6}+\cdots$$
25.2.d.a $$4$$ $$0.200$$ $$\Q(\zeta_{10})$$ None $$-2$$ $$-1$$ $$-5$$ $$-2$$ $$q+(-\zeta_{10}+\zeta_{10}^{2})q^{2}-\zeta_{10}^{3}q^{3}+(-1+\cdots)q^{4}+\cdots$$
25.2.e.a $$8$$ $$0.200$$ 8.0.58140625.2 None $$-5$$ $$-5$$ $$0$$ $$0$$ $$q+(-1+\beta _{1})q^{2}+(-1+\beta _{2}-\beta _{3}+\beta _{7})q^{3}+\cdots$$
26.2.a.a $$1$$ $$0.208$$ $$\Q$$ None $$-1$$ $$1$$ $$-3$$ $$-1$$ $$-$$ $$q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}-q^{7}+\cdots$$
26.2.a.b $$1$$ $$0.208$$ $$\Q$$ None $$1$$ $$-3$$ $$-1$$ $$1$$ $$-$$ $$q+q^{2}-3q^{3}+q^{4}-q^{5}-3q^{6}+q^{7}+\cdots$$
26.2.b.a $$2$$ $$0.208$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+iq^{2}-q^{3}-q^{4}-3iq^{5}-iq^{6}+\cdots$$
26.2.c.a $$2$$ $$0.208$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-2$$ $$-4$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-q^{5}-4\zeta_{6}q^{7}+\cdots$$
27.2.a.a $$1$$ $$0.216$$ $$\Q$$ $$\Q(\sqrt{-3})$$ $$0$$ $$0$$ $$0$$ $$-1$$ $$-$$ $$q-2q^{4}-q^{7}+5q^{13}+4q^{16}-7q^{19}+\cdots$$
27.2.e.a $$12$$ $$0.216$$ 12.0.$$\cdots$$.1 None $$-6$$ $$-6$$ $$-3$$ $$-6$$ $$q+(-1-\beta _{3}+\beta _{8})q^{2}+(-1-\beta _{2}+\beta _{6}+\cdots)q^{3}+\cdots$$
28.2.d.a $$2$$ $$0.224$$ $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{-7})$$ $$-1$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{2}+(-2+\beta )q^{4}+(-1+2\beta )q^{7}+\cdots$$
28.2.e.a $$2$$ $$0.224$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-1$$ $$-3$$ $$-4$$ $$q-\zeta_{6}q^{3}+(-3+3\zeta_{6})q^{5}+(-1-2\zeta_{6})q^{7}+\cdots$$
28.2.f.a $$4$$ $$0.224$$ $$\Q(\zeta_{12})$$ None $$-2$$ $$0$$ $$-6$$ $$0$$ $$q+(-\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}+(\zeta_{12}+\cdots)q^{3}+\cdots$$
29.2.a.a $$2$$ $$0.232$$ $$\Q(\sqrt{2})$$ None $$-2$$ $$2$$ $$-2$$ $$0$$ $$-$$ $$q+(-1+\beta )q^{2}+(1-\beta )q^{3}+(1-2\beta )q^{4}+\cdots$$
29.2.b.a $$2$$ $$0.232$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$-6$$ $$4$$ $$q+\beta q^{2}-\beta q^{3}-3q^{4}-3q^{5}+5q^{6}+\cdots$$
29.2.d.a $$6$$ $$0.232$$ $$\Q(\zeta_{14})$$ None $$-2$$ $$-5$$ $$1$$ $$1$$ $$q+(-1+\zeta_{14}+\zeta_{14}^{3}-\zeta_{14}^{4}+\zeta_{14}^{5})q^{2}+\cdots$$
29.2.e.a $$12$$ $$0.232$$ 12.0.$$\cdots$$.1 None $$-7$$ $$-7$$ $$-1$$ $$-11$$ $$q+(-1+\beta _{3}+\beta _{7}+\beta _{9}+\beta _{10})q^{2}+\cdots$$
30.2.a.a $$1$$ $$0.240$$ $$\Q$$ None $$-1$$ $$1$$ $$-1$$ $$-4$$ $$-$$ $$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-4q^{7}+\cdots$$
30.2.c.a $$2$$ $$0.240$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+iq^{2}-iq^{3}-q^{4}+(-2+i)q^{5}+\cdots$$
30.2.e.a $$4$$ $$0.240$$ $$\Q(\zeta_{8})$$ None $$0$$ $$-4$$ $$0$$ $$-4$$ $$q+\zeta_{8}q^{2}+(-1-\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+\zeta_{8}^{2}q^{4}+\cdots$$
31.2.a.a $$2$$ $$0.248$$ $$\Q(\sqrt{5})$$ None $$1$$ $$-2$$ $$2$$ $$-4$$ $$-$$ $$q+\beta q^{2}-2\beta q^{3}+(-1+\beta )q^{4}+q^{5}+\cdots$$
31.2.c.a $$4$$ $$0.248$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$-4$$ $$2$$ $$-2$$ $$-2$$ $$q+(-1+\beta _{3})q^{2}+(1+\beta _{1}+\beta _{2})q^{3}+\cdots$$
31.2.d.a $$4$$ $$0.248$$ $$\Q(\zeta_{10})$$ None $$-3$$ $$1$$ $$-6$$ $$-3$$ $$q+(-1-\zeta_{10}^{2})q^{2}+(1-\zeta_{10}+\zeta_{10}^{2}+\cdots)q^{3}+\cdots$$
31.2.g.a $$16$$ $$0.248$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$-6$$ $$-12$$ $$-3$$ $$2$$ $$q+(-1-\beta _{1}+\beta _{3}-\beta _{4}+\beta _{5}+\beta _{6}+\cdots)q^{2}+\cdots$$
32.2.a.a $$1$$ $$0.256$$ $$\Q$$ $$\Q(\sqrt{-1})$$ $$0$$ $$0$$ $$-2$$ $$0$$ $$-$$ $$q-2q^{5}-3q^{9}+6q^{13}+2q^{17}-q^{25}+\cdots$$
32.2.g.a $$4$$ $$0.256$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$-4$$ $$4$$ $$q+(-\zeta_{8}-\zeta_{8}^{3})q^{2}+(\zeta_{8}+\zeta_{8}^{2})q^{3}+\cdots$$
32.2.g.b $$8$$ $$0.256$$ 8.0.18939904.2 None $$-4$$ $$-4$$ $$0$$ $$-8$$ $$q-\beta _{2}q^{2}+(\beta _{1}+\beta _{3}+\beta _{5}+\beta _{7})q^{3}+\cdots$$
33.2.a.a $$1$$ $$0.264$$ $$\Q$$ None $$1$$ $$-1$$ $$-2$$ $$4$$ $$-$$ $$q+q^{2}-q^{3}-q^{4}-2q^{5}-q^{6}+4q^{7}+\cdots$$
33.2.d.a $$2$$ $$0.264$$ $$\Q(\sqrt{-11})$$ $$\Q(\sqrt{-11})$$ $$0$$ $$1$$ $$0$$ $$0$$ $$q+\beta q^{3}-2q^{4}+(1-2\beta )q^{5}+(-3+\beta )q^{9}+\cdots$$
33.2.e.a $$4$$ $$0.264$$ $$\Q(\zeta_{10})$$ None $$-3$$ $$-1$$ $$-1$$ $$-3$$ $$q+(-1-\zeta_{10}^{2})q^{2}-\zeta_{10}^{3}q^{3}+(\zeta_{10}+\cdots)q^{4}+\cdots$$
33.2.e.b $$4$$ $$0.264$$ $$\Q(\zeta_{10})$$ None $$-1$$ $$1$$ $$-3$$ $$1$$ $$q+(-1+2\zeta_{10}-\zeta_{10}^{2})q^{2}+\zeta_{10}^{3}q^{3}+\cdots$$
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