## Results (displaying matches 1-50 of 12655) Next

Label Dim. $$A$$ Field CM Traces $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
7.3.b.a $$1$$ $$0.191$$ $$\Q$$ $$\Q(\sqrt{-7})$$ $$-3$$ $$0$$ $$0$$ $$-7$$ $$q-3q^{2}+5q^{4}-7q^{7}-3q^{8}+9q^{9}+\cdots$$
8.3.d.a $$1$$ $$0.218$$ $$\Q$$ $$\Q(\sqrt{-2})$$ $$-2$$ $$-2$$ $$0$$ $$0$$ $$q-2q^{2}-2q^{3}+4q^{4}+4q^{6}-8q^{8}+\cdots$$
9.3.d.a $$2$$ $$0.245$$ $$\Q(\sqrt{-3})$$ None $$-3$$ $$-3$$ $$6$$ $$-2$$ $$q+(-1-\zeta_{6})q^{2}+(-3+3\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
10.3.c.a $$2$$ $$0.272$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$-4$$ $$0$$ $$4$$ $$q+(-1-i)q^{2}+(-2+2i)q^{3}+2iq^{4}+\cdots$$
11.3.b.a $$1$$ $$0.300$$ $$\Q$$ $$\Q(\sqrt{-11})$$ $$0$$ $$-5$$ $$-1$$ $$0$$ $$q-5q^{3}+4q^{4}-q^{5}+2^{4}q^{9}-11q^{11}+\cdots$$
11.3.d.a $$4$$ $$0.300$$ $$\Q(\zeta_{10})$$ None $$-5$$ $$0$$ $$-4$$ $$10$$ $$q+(-2\zeta_{10}+2\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+(-2+\cdots)q^{3}+\cdots$$
12.3.c.a $$1$$ $$0.327$$ $$\Q$$ $$\Q(\sqrt{-3})$$ $$0$$ $$-3$$ $$0$$ $$2$$ $$q-3q^{3}+2q^{7}+9q^{9}-22q^{13}+26q^{19}+\cdots$$
12.3.d.a $$2$$ $$0.327$$ $$\Q(\sqrt{-3})$$ None $$-2$$ $$0$$ $$-4$$ $$0$$ $$q+(-1-\zeta_{6})q^{2}+\zeta_{6}q^{3}+(-2+2\zeta_{6})q^{4}+\cdots$$
13.3.d.a $$4$$ $$0.354$$ $$\Q(i, \sqrt{10})$$ None $$-4$$ $$-4$$ $$8$$ $$-12$$ $$q+(-1+\beta _{1}-\beta _{2})q^{2}+(-1-\beta _{1}+\beta _{3})q^{3}+\cdots$$
13.3.f.a $$4$$ $$0.354$$ $$\Q(\zeta_{12})$$ None $$-2$$ $$-2$$ $$-14$$ $$16$$ $$q+(-1+\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+(\zeta_{12}-\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
14.3.d.a $$4$$ $$0.381$$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$0$$ $$-6$$ $$-6$$ $$8$$ $$q+\beta _{1}q^{2}+(-2-\beta _{1}-\beta _{2}+\beta _{3})q^{3}+\cdots$$
15.3.c.a $$2$$ $$0.409$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$-4$$ $$0$$ $$-12$$ $$q+\beta q^{2}+(-2-\beta )q^{3}-q^{4}-\beta q^{5}+\cdots$$
15.3.d.a $$1$$ $$0.409$$ $$\Q$$ $$\Q(\sqrt{-15})$$ $$-1$$ $$3$$ $$-5$$ $$0$$ $$q-q^{2}+3q^{3}-3q^{4}-5q^{5}-3q^{6}+\cdots$$
15.3.d.b $$1$$ $$0.409$$ $$\Q$$ $$\Q(\sqrt{-15})$$ $$1$$ $$-3$$ $$5$$ $$0$$ $$q+q^{2}-3q^{3}-3q^{4}+5q^{5}-3q^{6}+\cdots$$
15.3.f.a $$4$$ $$0.409$$ $$\Q(i, \sqrt{6})$$ None $$-4$$ $$0$$ $$-4$$ $$4$$ $$q+(-1+\beta _{1}-\beta _{2})q^{2}+\beta _{3}q^{3}+(-2\beta _{1}+\cdots)q^{4}+\cdots$$
16.3.c.a $$1$$ $$0.436$$ $$\Q$$ $$\Q(\sqrt{-1})$$ $$0$$ $$0$$ $$-6$$ $$0$$ $$q-6q^{5}+9q^{9}+10q^{13}-30q^{17}+\cdots$$
16.3.f.a $$6$$ $$0.436$$ 6.0.399424.1 None $$-2$$ $$-2$$ $$-2$$ $$-4$$ $$q+\beta _{2}q^{2}+(-1-\beta _{2}+\beta _{5})q^{3}+(-1+\cdots)q^{4}+\cdots$$
17.3.e.a $$8$$ $$0.463$$ $$\Q(\zeta_{16})$$ None $$-8$$ $$-8$$ $$16$$ $$8$$ $$q+(-1+\zeta_{16}+\zeta_{16}^{2}-\zeta_{16}^{4}-\zeta_{16}^{5}+\cdots)q^{2}+\cdots$$
17.3.e.b $$8$$ $$0.463$$ $$\Q(\zeta_{16})$$ None $$0$$ $$0$$ $$-24$$ $$-16$$ $$q+(-\zeta_{16}^{2}+\zeta_{16}^{4}+\zeta_{16}^{7})q^{2}+(2\zeta_{16}^{2}+\cdots)q^{3}+\cdots$$
18.3.b.a $$2$$ $$0.490$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$-8$$ $$q+\beta q^{2}-2q^{4}-3\beta q^{5}-4q^{7}-2\beta q^{8}+\cdots$$
18.3.d.a $$4$$ $$0.490$$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None $$0$$ $$0$$ $$-18$$ $$2$$ $$q+\beta _{1}q^{2}+(1-2\beta _{1}-2\beta _{2}+\beta _{3})q^{3}+\cdots$$
19.3.b.a $$1$$ $$0.518$$ $$\Q$$ $$\Q(\sqrt{-19})$$ $$0$$ $$0$$ $$-9$$ $$-5$$ $$q+4q^{4}-9q^{5}-5q^{7}+9q^{9}+3q^{11}+\cdots$$
19.3.b.b $$2$$ $$0.518$$ $$\Q(\sqrt{-13})$$ None $$0$$ $$0$$ $$8$$ $$-10$$ $$q+\beta q^{2}-\beta q^{3}-9q^{4}+4q^{5}+13q^{6}+\cdots$$
19.3.d.a $$6$$ $$0.518$$ 6.0.6967728.1 None $$-3$$ $$-9$$ $$-2$$ $$0$$ $$q+(-1-\beta _{5})q^{2}+(\beta _{1}+2\beta _{2}+\beta _{3}+\beta _{5})q^{3}+\cdots$$
19.3.f.a $$12$$ $$0.518$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$-6$$ $$0$$ $$-6$$ $$6$$ $$q+\beta _{10}q^{2}+(\beta _{1}-\beta _{4}-\beta _{5}+\beta _{6}-\beta _{7}+\cdots)q^{3}+\cdots$$
20.3.b.a $$4$$ $$0.545$$ $$\Q(\zeta_{10})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{10}^{2}q^{2}+\zeta_{10}^{3}q^{3}+(-2-\zeta_{10}+\cdots)q^{4}+\cdots$$
20.3.d.a $$1$$ $$0.545$$ $$\Q$$ $$\Q(\sqrt{-5})$$ $$-2$$ $$4$$ $$-5$$ $$-4$$ $$q-2q^{2}+4q^{3}+4q^{4}-5q^{5}-8q^{6}+\cdots$$
20.3.d.b $$1$$ $$0.545$$ $$\Q$$ $$\Q(\sqrt{-5})$$ $$2$$ $$-4$$ $$-5$$ $$4$$ $$q+2q^{2}-4q^{3}+4q^{4}-5q^{5}-8q^{6}+\cdots$$
20.3.d.c $$2$$ $$0.545$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ $$0$$ $$0$$ $$6$$ $$0$$ $$q+iq^{2}-4q^{4}+(3-2i)q^{5}-4iq^{8}+\cdots$$
20.3.f.a $$2$$ $$0.545$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$2$$ $$-6$$ $$-14$$ $$q+(1-i)q^{3}+(-3+4i)q^{5}+(-7-7i)q^{7}+\cdots$$
21.3.b.a $$4$$ $$0.572$$ 4.0.65856.1 None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{2}+\beta _{3})q^{3}+(-3+\cdots)q^{4}+\cdots$$
21.3.d.a $$2$$ $$0.572$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$0$$ $$0$$ $$2$$ $$q+q^{2}+\zeta_{6}q^{3}-3q^{4}-4\zeta_{6}q^{5}+\zeta_{6}q^{6}+\cdots$$
21.3.f.a $$2$$ $$0.572$$ $$\Q(\sqrt{-3})$$ None $$-3$$ $$-3$$ $$9$$ $$13$$ $$q-3\zeta_{6}q^{2}+(-1-\zeta_{6})q^{3}+(-5+5\zeta_{6})q^{4}+\cdots$$
21.3.f.b $$2$$ $$0.572$$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$3$$ $$-9$$ $$-7$$ $$q-\zeta_{6}q^{2}+(1+\zeta_{6})q^{3}+(3-3\zeta_{6})q^{4}+\cdots$$
21.3.f.c $$2$$ $$0.572$$ $$\Q(\sqrt{-3})$$ None $$2$$ $$-3$$ $$-6$$ $$-7$$ $$q+2\zeta_{6}q^{2}+(-1-\zeta_{6})q^{3}+(-4+2\zeta_{6})q^{5}+\cdots$$
21.3.h.a $$2$$ $$0.572$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ $$0$$ $$3$$ $$0$$ $$-13$$ $$q+3\zeta_{6}q^{3}-4\zeta_{6}q^{4}+(-5-3\zeta_{6})q^{7}+\cdots$$
21.3.h.b $$4$$ $$0.572$$ $$\Q(\sqrt{-3}, \sqrt{-5})$$ None $$0$$ $$-4$$ $$0$$ $$14$$ $$q+\beta _{1}q^{2}+(-\beta _{1}-2\beta _{2}+\beta _{3})q^{3}+\beta _{2}q^{4}+\cdots$$
22.3.b.a $$2$$ $$0.599$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$2$$ $$-2$$ $$0$$ $$q+\beta q^{2}+q^{3}-2q^{4}-q^{5}+\beta q^{6}-6\beta q^{7}+\cdots$$
22.3.d.a $$8$$ $$0.599$$ 8.0.64000000.1 None $$0$$ $$-2$$ $$2$$ $$-30$$ $$q+\beta _{1}q^{2}+(1-\beta _{1}-2\beta _{2}+\beta _{3}+2\beta _{4}+\cdots)q^{3}+\cdots$$
23.3.b.a $$3$$ $$0.627$$ 3.3.621.1 $$\Q(\sqrt{-23})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}+\beta _{2})q^{2}+(-2\beta _{1}-\beta _{2})q^{3}+(4+\cdots)q^{4}+\cdots$$
23.3.d.a $$30$$ $$0.627$$ None $$-11$$ $$-11$$ $$-11$$ $$-11$$
24.3.b.a $$4$$ $$0.654$$ 4.0.4752.1 None $$2$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{2})q^{2}+\beta _{2}q^{3}+(-2-\beta _{2}+\cdots)q^{4}+\cdots$$
24.3.e.a $$2$$ $$0.654$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$2$$ $$0$$ $$-12$$ $$q+(1+\beta )q^{3}-2\beta q^{5}-6q^{7}+(-7+2\beta )q^{9}+\cdots$$
24.3.h.a $$1$$ $$0.654$$ $$\Q$$ $$\Q(\sqrt{-6})$$ $$-2$$ $$3$$ $$2$$ $$-10$$ $$q-2q^{2}+3q^{3}+4q^{4}+2q^{5}-6q^{6}+\cdots$$
24.3.h.b $$1$$ $$0.654$$ $$\Q$$ $$\Q(\sqrt{-6})$$ $$2$$ $$-3$$ $$-2$$ $$-10$$ $$q+2q^{2}-3q^{3}+4q^{4}-2q^{5}-6q^{6}+\cdots$$
24.3.h.c $$4$$ $$0.654$$ $$\Q(\sqrt{2}, \sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$16$$ $$q+\beta _{1}q^{2}+(-\beta _{2}-\beta _{3})q^{3}+(-3+\beta _{3})q^{4}+\cdots$$
25.3.c.a $$4$$ $$0.681$$ $$\Q(i, \sqrt{6})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{3}q^{3}-\beta _{2}q^{4}-3q^{6}-4\beta _{1}q^{7}+\cdots$$
25.3.f.a $$32$$ $$0.681$$ None $$-10$$ $$-10$$ $$-10$$ $$-10$$
26.3.d.a $$2$$ $$0.708$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$-6$$ $$4$$ $$q+(1+i)q^{2}+2iq^{4}+(-3-3i)q^{5}+\cdots$$
26.3.f.a $$4$$ $$0.708$$ $$\Q(\zeta_{12})$$ None $$2$$ $$0$$ $$0$$ $$-22$$ $$q+(\zeta_{12}+\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+(-\zeta_{12}+\cdots)q^{3}+\cdots$$
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