## Results (displaying matches 1-50 of 348) Next

Label Dim. $$A$$ Field CM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
150.2.a.a $$1$$ $$1.198$$ $$\Q$$ None $$-1$$ $$-1$$ $$0$$ $$2$$ $$-$$ $$q-q^{2}-q^{3}+q^{4}+q^{6}+2q^{7}-q^{8}+\cdots$$
150.2.a.b $$1$$ $$1.198$$ $$\Q$$ None $$1$$ $$-1$$ $$0$$ $$4$$ $$-$$ $$q+q^{2}-q^{3}+q^{4}-q^{6}+4q^{7}+q^{8}+\cdots$$
150.2.a.c $$1$$ $$1.198$$ $$\Q$$ None $$1$$ $$1$$ $$0$$ $$-2$$ $$-$$ $$q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\cdots$$
150.2.c.a $$2$$ $$1.198$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+iq^{3}-q^{4}-q^{6}+4iq^{7}+\cdots$$
150.2.e.a $$4$$ $$1.198$$ $$\Q(\zeta_{8})$$ None $$0$$ $$4$$ $$0$$ $$4$$ $$q+\zeta_{8}q^{2}+(1+\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}+\zeta_{8}^{2}q^{4}+\cdots$$
150.2.e.b $$8$$ $$1.198$$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{24}+\zeta_{24}^{5})q^{2}+(-2\zeta_{24}^{3}+\zeta_{24}^{7})q^{3}+\cdots$$
150.2.g.a $$4$$ $$1.198$$ $$\Q(\zeta_{10})$$ None $$-1$$ $$1$$ $$5$$ $$6$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
150.2.g.b $$4$$ $$1.198$$ $$\Q(\zeta_{10})$$ None $$1$$ $$1$$ $$5$$ $$8$$ $$q+(1-\zeta_{10}+\zeta_{10}^{2}-\zeta_{10}^{3})q^{2}+\zeta_{10}^{3}q^{3}+\cdots$$
150.2.g.c $$8$$ $$1.198$$ 8.0.1064390625.3 None $$2$$ $$-2$$ $$-4$$ $$-2$$ $$q-\beta _{2}q^{2}+\beta _{5}q^{3}+\beta _{5}q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots$$
150.2.h.a $$8$$ $$1.198$$ $$\Q(\zeta_{20})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{20}q^{2}-\zeta_{20}^{7}q^{3}+\zeta_{20}^{2}q^{4}+(\zeta_{20}+\cdots)q^{5}+\cdots$$
150.2.h.b $$16$$ $$1.198$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\beta _{8}q^{2}+\beta _{6}q^{3}-\beta _{10}q^{4}+(1+\beta _{3}+\cdots)q^{5}+\cdots$$
150.2.l.a $$80$$ $$1.198$$ None $$0$$ $$4$$ $$0$$ $$4$$
150.3.b.a $$4$$ $$4.087$$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}+(-\zeta_{8}-2\zeta_{8}^{3})q^{3}+2q^{4}+\cdots$$
150.3.b.b $$8$$ $$4.087$$ 8.0.40960000.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}-\beta _{3}q^{3}+2q^{4}+(-1-\beta _{4}+\cdots)q^{6}+\cdots$$
150.3.d.a $$2$$ $$4.087$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-2$$ $$0$$ $$-14$$ $$q+\beta q^{2}+(-1-2\beta )q^{3}-2q^{4}+(4-\beta )q^{6}+\cdots$$
150.3.d.b $$2$$ $$4.087$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$2$$ $$0$$ $$14$$ $$q+\beta q^{2}+(1-2\beta )q^{3}-2q^{4}+(4+\beta )q^{6}+\cdots$$
150.3.d.c $$4$$ $$4.087$$ $$\Q(\sqrt{-2}, \sqrt{-5})$$ None $$0$$ $$-4$$ $$0$$ $$-8$$ $$q+\beta _{1}q^{2}+(-1+\beta _{1}-\beta _{2})q^{3}-2q^{4}+\cdots$$
150.3.d.d $$4$$ $$4.087$$ $$\Q(\sqrt{-2}, \sqrt{-17})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}-\beta _{1}q^{3}-2q^{4}+(-1+\beta _{3})q^{6}+\cdots$$
150.3.f.a $$4$$ $$4.087$$ $$\Q(i, \sqrt{6})$$ None $$-4$$ $$0$$ $$0$$ $$-24$$ $$q+(-1+\beta _{2})q^{2}+\beta _{1}q^{3}-2\beta _{2}q^{4}+\cdots$$
150.3.f.b $$4$$ $$4.087$$ $$\Q(i, \sqrt{6})$$ None $$-4$$ $$0$$ $$0$$ $$16$$ $$q+(-1+\beta _{2})q^{2}+\beta _{1}q^{3}-2\beta _{2}q^{4}+\cdots$$
150.3.f.c $$4$$ $$4.087$$ $$\Q(i, \sqrt{6})$$ None $$4$$ $$0$$ $$0$$ $$24$$ $$q+(1-\beta _{2})q^{2}+\beta _{1}q^{3}-2\beta _{2}q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots$$
150.3.i.a $$80$$ $$4.087$$ None $$0$$ $$0$$ $$0$$ $$0$$
150.3.j.a $$80$$ $$4.087$$ None $$0$$ $$-4$$ $$0$$ $$-8$$
150.3.k.a $$32$$ $$4.087$$ None $$8$$ $$0$$ $$0$$ $$8$$
150.3.k.b $$48$$ $$4.087$$ None $$-12$$ $$0$$ $$0$$ $$8$$
150.4.a.a $$1$$ $$8.850$$ $$\Q$$ None $$-2$$ $$-3$$ $$0$$ $$-1$$ $$-$$ $$q-2q^{2}-3q^{3}+4q^{4}+6q^{6}-q^{7}+\cdots$$
150.4.a.b $$1$$ $$8.850$$ $$\Q$$ None $$-2$$ $$-3$$ $$0$$ $$4$$ $$+$$ $$q-2q^{2}-3q^{3}+4q^{4}+6q^{6}+4q^{7}+\cdots$$
150.4.a.c $$1$$ $$8.850$$ $$\Q$$ None $$-2$$ $$3$$ $$0$$ $$-23$$ $$-$$ $$q-2q^{2}+3q^{3}+4q^{4}-6q^{6}-23q^{7}+\cdots$$
150.4.a.d $$1$$ $$8.850$$ $$\Q$$ None $$-2$$ $$3$$ $$0$$ $$2$$ $$+$$ $$q-2q^{2}+3q^{3}+4q^{4}-6q^{6}+2q^{7}+\cdots$$
150.4.a.e $$1$$ $$8.850$$ $$\Q$$ None $$2$$ $$-3$$ $$0$$ $$-32$$ $$-$$ $$q+2q^{2}-3q^{3}+4q^{4}-6q^{6}-2^{5}q^{7}+\cdots$$
150.4.a.f $$1$$ $$8.850$$ $$\Q$$ None $$2$$ $$-3$$ $$0$$ $$-2$$ $$+$$ $$q+2q^{2}-3q^{3}+4q^{4}-6q^{6}-2q^{7}+\cdots$$
150.4.a.g $$1$$ $$8.850$$ $$\Q$$ None $$2$$ $$-3$$ $$0$$ $$23$$ $$+$$ $$q+2q^{2}-3q^{3}+4q^{4}-6q^{6}+23q^{7}+\cdots$$
150.4.a.h $$1$$ $$8.850$$ $$\Q$$ None $$2$$ $$3$$ $$0$$ $$1$$ $$+$$ $$q+2q^{2}+3q^{3}+4q^{4}+6q^{6}+q^{7}+\cdots$$
150.4.a.i $$1$$ $$8.850$$ $$\Q$$ None $$2$$ $$3$$ $$0$$ $$16$$ $$+$$ $$q+2q^{2}+3q^{3}+4q^{4}+6q^{6}+2^{4}q^{7}+\cdots$$
150.4.c.a $$2$$ $$8.850$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{2}+3iq^{3}-4q^{4}-6q^{6}-2^{5}iq^{7}+\cdots$$
150.4.c.b $$2$$ $$8.850$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{2}+3iq^{3}-4q^{4}-6q^{6}+23iq^{7}+\cdots$$
150.4.c.c $$2$$ $$8.850$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{2}-3iq^{3}-4q^{4}+6q^{6}-4iq^{7}+\cdots$$
150.4.c.d $$2$$ $$8.850$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{2}-3iq^{3}-4q^{4}+6q^{6}+2^{4}iq^{7}+\cdots$$
150.4.c.e $$2$$ $$8.850$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{2}-3iq^{3}-4q^{4}+6q^{6}+iq^{7}+\cdots$$
150.4.e.a $$4$$ $$8.850$$ $$\Q(\zeta_{8})$$ None $$0$$ $$-12$$ $$0$$ $$72$$ $$q+2\zeta_{8}q^{2}+(-3-3\zeta_{8}^{2}+3\zeta_{8}^{3})q^{3}+\cdots$$
150.4.e.b $$4$$ $$8.850$$ $$\Q(\zeta_{8})$$ None $$0$$ $$12$$ $$0$$ $$-72$$ $$q+2\zeta_{8}q^{2}+(3+3\zeta_{8}^{2}+3\zeta_{8}^{3})q^{3}+\cdots$$
150.4.e.c $$12$$ $$8.850$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$0$$ $$-8$$ $$0$$ $$-12$$ $$q-\beta _{1}q^{2}+(-1-\beta _{4}+\beta _{9})q^{3}+4\beta _{4}q^{4}+\cdots$$
150.4.e.d $$16$$ $$8.850$$ 16.0.$$\cdots$$.10 None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{13}q^{2}-\beta _{5}q^{3}+4\beta _{7}q^{4}+(2-2\beta _{2}+\cdots)q^{6}+\cdots$$
150.4.g.a $$12$$ $$8.850$$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$-6$$ $$9$$ $$-10$$ $$-44$$ $$q-2\beta _{1}q^{2}+(3-3\beta _{1}+3\beta _{3}+3\beta _{5}+\cdots)q^{3}+\cdots$$
150.4.g.b $$16$$ $$8.850$$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$-8$$ $$-12$$ $$15$$ $$46$$ $$q-2\beta _{6}q^{2}+(-3+3\beta _{4}+3\beta _{5}+3\beta _{6}+\cdots)q^{3}+\cdots$$
150.4.g.c $$16$$ $$8.850$$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$8$$ $$-12$$ $$5$$ $$12$$ $$q+(2-2\beta _{1}+2\beta _{2}-2\beta _{3})q^{2}-3\beta _{1}q^{3}+\cdots$$
150.4.g.d $$20$$ $$8.850$$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$10$$ $$15$$ $$-16$$ $$-10$$ $$q-2\beta _{3}q^{2}+3\beta _{5}q^{3}-4\beta _{5}q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots$$
150.4.h.a $$24$$ $$8.850$$ None $$0$$ $$0$$ $$0$$ $$0$$
150.4.h.b $$32$$ $$8.850$$ None $$0$$ $$0$$ $$-4$$ $$0$$
150.4.l.a $$240$$ $$8.850$$ None $$0$$ $$-8$$ $$0$$ $$-12$$
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