## Results (displaying matches 1-50 of 227) Next

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
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 $$2$$ $$0.192$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-2})$$ $$0$$ $$-2$$ $$0$$ $$0$$ $$q+\beta q^{2}+(-1-\beta )q^{3}-2q^{4}+(2-\beta )q^{6}+\cdots$$
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 $$0$$ $$0$$ $$0$$ $$16$$ $$q+\beta _{1}q^{2}+(-\beta _{2}-\beta _{3})q^{3}+(-3+\beta _{3})q^{4}+\cdots$$
24.4.a.a $$1$$ $$1.416$$ $$\Q$$ None $$0$$ $$3$$ $$14$$ $$-24$$ $$+$$ $$q+3q^{3}+14q^{5}-24q^{7}+9q^{9}-28q^{11}+\cdots$$
24.4.d.a $$6$$ $$1.416$$ 6.0.8248384.1 None $$2$$ $$0$$ $$0$$ $$28$$ $$q+\beta _{3}q^{2}+\beta _{1}q^{3}+(3-\beta _{5})q^{4}+(2\beta _{1}+\cdots)q^{5}+\cdots$$
24.4.f.a $$2$$ $$1.416$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-2})$$ $$0$$ $$10$$ $$0$$ $$0$$ $$q+2\beta q^{2}+(5+\beta )q^{3}-8q^{4}+(-4+10\beta )q^{6}+\cdots$$
24.4.f.b $$8$$ $$1.416$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$0$$ $$-12$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-2+\beta _{4})q^{3}+(3+\beta _{2})q^{4}+\cdots$$
24.5.b.a $$8$$ $$2.481$$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None $$-6$$ $$0$$ $$0$$ $$0$$ $$q+(-1+\beta _{2})q^{2}+\beta _{3}q^{3}+(1-\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots$$
24.5.e.a $$4$$ $$2.481$$ $$\Q(\sqrt{-2}, \sqrt{13})$$ None $$0$$ $$-4$$ $$0$$ $$24$$ $$q+(-1-\beta _{1})q^{3}+(-2\beta _{1}+\beta _{2}+\beta _{3})q^{5}+\cdots$$
24.5.h.a $$1$$ $$2.481$$ $$\Q$$ $$\Q(\sqrt{-6})$$ $$-4$$ $$-9$$ $$46$$ $$2$$ $$q-4q^{2}-9q^{3}+2^{4}q^{4}+46q^{5}+6^{2}q^{6}+\cdots$$
24.5.h.b $$1$$ $$2.481$$ $$\Q$$ $$\Q(\sqrt{-6})$$ $$4$$ $$9$$ $$-46$$ $$2$$ $$q+4q^{2}+9q^{3}+2^{4}q^{4}-46q^{5}+6^{2}q^{6}+\cdots$$
24.5.h.c $$12$$ $$2.481$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$-8$$ $$q+\beta _{3}q^{2}+\beta _{2}q^{3}+(-2+\beta _{5})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots$$
24.6.a.a $$1$$ $$3.849$$ $$\Q$$ None $$0$$ $$-9$$ $$-34$$ $$-240$$ $$+$$ $$q-9q^{3}-34q^{5}-240q^{7}+3^{4}q^{9}+\cdots$$
24.6.a.b $$1$$ $$3.849$$ $$\Q$$ None $$0$$ $$-9$$ $$94$$ $$144$$ $$-$$ $$q-9q^{3}+94q^{5}+12^{2}q^{7}+3^{4}q^{9}+\cdots$$
24.6.a.c $$1$$ $$3.849$$ $$\Q$$ None $$0$$ $$9$$ $$38$$ $$120$$ $$-$$ $$q+9q^{3}+38q^{5}+120q^{7}+3^{4}q^{9}+\cdots$$
24.6.d.a $$10$$ $$3.849$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$2$$ $$0$$ $$0$$ $$-196$$ $$q+\beta _{2}q^{2}-\beta _{1}q^{3}+(-3-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
24.6.f.a $$2$$ $$3.849$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-2})$$ $$0$$ $$-2$$ $$0$$ $$0$$ $$q+4\beta q^{2}+(-1+11\beta )q^{3}-2^{5}q^{4}+\cdots$$
24.6.f.b $$16$$ $$3.849$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-\beta _{1}+\beta _{3})q^{3}+(3+\beta _{2}+\cdots)q^{4}+\cdots$$
24.7.b.a $$12$$ $$5.521$$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$10$$ $$0$$ $$0$$ $$0$$ $$q+(1+\beta _{1})q^{2}-\beta _{2}q^{3}+(2+\beta _{1}-\beta _{4}+\cdots)q^{4}+\cdots$$
24.7.e.a $$6$$ $$5.521$$ 6.0.1173604352.2 None $$0$$ $$-10$$ $$0$$ $$156$$ $$q+(-2+\beta _{1})q^{3}+(-\beta _{1}-\beta _{2})q^{5}+(3^{3}+\cdots)q^{7}+\cdots$$
24.7.h.a $$1$$ $$5.521$$ $$\Q$$ $$\Q(\sqrt{-6})$$ $$-8$$ $$27$$ $$-142$$ $$470$$ $$q-8q^{2}+3^{3}q^{3}+2^{6}q^{4}-142q^{5}+\cdots$$
24.7.h.b $$1$$ $$5.521$$ $$\Q$$ $$\Q(\sqrt{-6})$$ $$8$$ $$-27$$ $$142$$ $$470$$ $$q+8q^{2}-3^{3}q^{3}+2^{6}q^{4}+142q^{5}+\cdots$$
24.7.h.c $$20$$ $$5.521$$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$-944$$ $$q+\beta _{1}q^{2}-\beta _{5}q^{3}+(-10+\beta _{3})q^{4}+\cdots$$
24.8.a.a $$1$$ $$7.497$$ $$\Q$$ None $$0$$ $$-27$$ $$-26$$ $$1056$$ $$+$$ $$q-3^{3}q^{3}-26q^{5}+1056q^{7}+3^{6}q^{9}+\cdots$$
24.8.a.b $$1$$ $$7.497$$ $$\Q$$ None $$0$$ $$27$$ $$-530$$ $$120$$ $$-$$ $$q+3^{3}q^{3}-530q^{5}+120q^{7}+3^{6}q^{9}+\cdots$$
24.8.a.c $$1$$ $$7.497$$ $$\Q$$ None $$0$$ $$27$$ $$110$$ $$504$$ $$+$$ $$q+3^{3}q^{3}+110q^{5}+504q^{7}+3^{6}q^{9}+\cdots$$
24.8.d.a $$14$$ $$7.497$$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None $$-14$$ $$0$$ $$0$$ $$1372$$ $$q+(-1+\beta _{1})q^{2}-\beta _{3}q^{3}+(-15-\beta _{1}+\cdots)q^{4}+\cdots$$
24.8.f.a $$2$$ $$7.497$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-2})$$ $$0$$ $$-86$$ $$0$$ $$0$$ $$q+8\beta q^{2}+(-43+13\beta )q^{3}-2^{7}q^{4}+\cdots$$
24.8.f.b $$4$$ $$7.497$$ $$\Q(\sqrt{6}, \sqrt{-26})$$ None $$0$$ $$-36$$ $$0$$ $$0$$ $$q+(2\beta _{1}+\beta _{2})q^{2}+(-9-9\beta _{1})q^{3}+(-80+\cdots)q^{4}+\cdots$$
24.8.f.c $$20$$ $$7.497$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$0$$ $$120$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(6+\beta _{1}-\beta _{4})q^{3}+(3^{3}+\beta _{3}+\cdots)q^{4}+\cdots$$
24.9.b.a $$16$$ $$9.777$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$-6$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+\beta _{1}q^{3}+(26-\beta _{4})q^{4}+(-1+\cdots)q^{5}+\cdots$$
24.9.e.a $$8$$ $$9.777$$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$0$$ $$56$$ $$0$$ $$1584$$ $$q+(7+\beta _{2})q^{3}+(-\beta _{2}+\beta _{4})q^{5}+(198+\cdots)q^{7}+\cdots$$
24.9.h.a $$1$$ $$9.777$$ $$\Q$$ $$\Q(\sqrt{-6})$$ $$-16$$ $$-81$$ $$-866$$ $$-4798$$ $$q-2^{4}q^{2}-3^{4}q^{3}+2^{8}q^{4}-866q^{5}+\cdots$$
24.9.h.b $$1$$ $$9.777$$ $$\Q$$ $$\Q(\sqrt{-6})$$ $$16$$ $$81$$ $$866$$ $$-4798$$ $$q+2^{4}q^{2}+3^{4}q^{3}+2^{8}q^{4}+866q^{5}+\cdots$$
24.9.h.c $$28$$ $$9.777$$ None $$0$$ $$0$$ $$0$$ $$9592$$
24.10.a.a $$1$$ $$12.361$$ $$\Q$$ None $$0$$ $$-81$$ $$830$$ $$672$$ $$+$$ $$q-3^{4}q^{3}+830q^{5}+672q^{7}+3^{8}q^{9}+\cdots$$
24.10.a.b $$1$$ $$12.361$$ $$\Q$$ None $$0$$ $$81$$ $$-794$$ $$-5880$$ $$+$$ $$q+3^{4}q^{3}-794q^{5}-5880q^{7}+3^{8}q^{9}+\cdots$$
24.10.a.c $$1$$ $$12.361$$ $$\Q$$ None $$0$$ $$81$$ $$614$$ $$2184$$ $$-$$ $$q+3^{4}q^{3}+614q^{5}+2184q^{7}+3^{8}q^{9}+\cdots$$
24.10.a.d $$2$$ $$12.361$$ $$\Q(\sqrt{109})$$ None $$0$$ $$-162$$ $$-772$$ $$-2880$$ $$-$$ $$q-3^{4}q^{3}+(-386-\beta )q^{5}+(-1440+\cdots)q^{7}+\cdots$$
24.10.d.a $$18$$ $$12.361$$ $$\mathbb{Q}[x]/(x^{18} - \cdots)$$ None $$34$$ $$0$$ $$0$$ $$-9604$$ $$q+(2-\beta _{1})q^{2}-\beta _{2}q^{3}+(29-2\beta _{1}-\beta _{5}+\cdots)q^{4}+\cdots$$
24.10.f.a $$2$$ $$12.361$$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-2})$$ $$0$$ $$190$$ $$0$$ $$0$$ $$q+2^{4}\beta q^{2}+(95-73\beta )q^{3}-2^{9}q^{4}+\cdots$$
24.10.f.b $$32$$ $$12.361$$ None $$0$$ $$-192$$ $$0$$ $$0$$
24.11.b.a $$20$$ $$15.249$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$-22$$ $$0$$ $$0$$ $$0$$ $$q+(-1-\beta _{2})q^{2}-\beta _{1}q^{3}+(-93-\beta _{1}+\cdots)q^{4}+\cdots$$
24.11.e.a $$10$$ $$15.249$$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$0$$ $$-22$$ $$0$$ $$-5436$$ $$q+(-2+\beta _{1})q^{3}+(\beta _{1}+\beta _{2})q^{5}+(-545+\cdots)q^{7}+\cdots$$
24.11.h.a $$1$$ $$15.249$$ $$\Q$$ $$\Q(\sqrt{-6})$$ $$-32$$ $$243$$ $$5282$$ $$24950$$ $$q-2^{5}q^{2}+3^{5}q^{3}+2^{10}q^{4}+5282q^{5}+\cdots$$
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