## Results (1-50 of 309 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
350.2.a.a $1$ $2.795$ $$\Q$$ None $$-1$$ $$-1$$ $$0$$ $$-1$$ $+$ $$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots$$
350.2.a.b $1$ $2.795$ $$\Q$$ None $$-1$$ $$0$$ $$0$$ $$1$$ $-$ $$q-q^{2}+q^{4}+q^{7}-q^{8}-3q^{9}+4q^{11}+\cdots$$
350.2.a.c $1$ $2.795$ $$\Q$$ None $$-1$$ $$3$$ $$0$$ $$1$$ $-$ $$q-q^{2}+3q^{3}+q^{4}-3q^{6}+q^{7}-q^{8}+\cdots$$
350.2.a.d $1$ $2.795$ $$\Q$$ None $$1$$ $$-3$$ $$0$$ $$-1$$ $+$ $$q+q^{2}-3q^{3}+q^{4}-3q^{6}-q^{7}+q^{8}+\cdots$$
350.2.a.e $1$ $2.795$ $$\Q$$ None $$1$$ $$1$$ $$0$$ $$1$$ $-$ $$q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots$$
350.2.a.f $1$ $2.795$ $$\Q$$ None $$1$$ $$2$$ $$0$$ $$-1$$ $-$ $$q+q^{2}+2q^{3}+q^{4}+2q^{6}-q^{7}+q^{8}+\cdots$$
350.2.a.g $2$ $2.795$ $$\Q(\sqrt{6})$$ None $$-2$$ $$0$$ $$0$$ $$-2$$ $-$ $$q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}-q^{7}-q^{8}+\cdots$$
350.2.a.h $2$ $2.795$ $$\Q(\sqrt{6})$$ None $$2$$ $$0$$ $$0$$ $$2$$ $-$ $$q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+q^{7}+q^{8}+\cdots$$
350.2.c.a $2$ $2.795$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+3iq^{3}-q^{4}-3q^{6}-iq^{7}+\cdots$$
350.2.c.b $2$ $2.795$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}-iq^{7}-iq^{8}+3q^{9}+\cdots$$
350.2.c.c $2$ $2.795$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-iq^{3}-q^{4}+q^{6}+iq^{7}-iq^{8}+\cdots$$
350.2.c.d $2$ $2.795$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-2iq^{3}-q^{4}+2q^{6}-iq^{7}+\cdots$$
350.2.e.a $2$ $2.795$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-2$$ $$0$$ $$-5$$ $$q-\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
350.2.e.b $2$ $2.795$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-2$$ $$0$$ $$4$$ $$q-\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
350.2.e.c $2$ $2.795$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$0$$ $$-4$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(-3+2\zeta_{6})q^{7}+\cdots$$
350.2.e.d $2$ $2.795$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$0$$ $$1$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(2-3\zeta_{6})q^{7}+\cdots$$
350.2.e.e $2$ $2.795$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$1$$ $$0$$ $$1$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
350.2.e.f $2$ $2.795$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$3$$ $$0$$ $$5$$ $$q-\zeta_{6}q^{2}+(3-3\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
350.2.e.g $2$ $2.795$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-3$$ $$0$$ $$-5$$ $$q+\zeta_{6}q^{2}+(-3+3\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
350.2.e.h $2$ $2.795$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-2$$ $$0$$ $$4$$ $$q+\zeta_{6}q^{2}+(-2+2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
350.2.e.i $2$ $2.795$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$0$$ $$-1$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(-2+3\zeta_{6})q^{7}+\cdots$$
350.2.e.j $2$ $2.795$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$0$$ $$4$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(3-2\zeta_{6})q^{7}+\cdots$$
350.2.e.k $2$ $2.795$ $$\Q(\sqrt{-3})$$ None $$1$$ $$2$$ $$0$$ $$5$$ $$q+\zeta_{6}q^{2}+(2-2\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
350.2.e.l $2$ $2.795$ $$\Q(\sqrt{-3})$$ None $$1$$ $$3$$ $$0$$ $$-1$$ $$q+\zeta_{6}q^{2}+(3-3\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
350.2.g.a $8$ $2.795$ $$\Q(\zeta_{16})$$ None $$0$$ $$0$$ $$0$$ $$8$$ $$q+\zeta_{16}q^{2}+\zeta_{16}^{2}q^{3}+\zeta_{16}^{3}q^{4}+(\zeta_{16}^{4}+\cdots)q^{6}+\cdots$$
350.2.g.b $16$ $2.795$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+\beta _{3}q^{3}+\beta _{10}q^{4}+\beta _{15}q^{6}+\cdots$$
350.2.h.a $8$ $2.795$ $$\Q(\zeta_{15})$$ None $$-2$$ $$3$$ $$0$$ $$8$$ $$q+\zeta_{15}^{4}q^{2}+(-\zeta_{15}^{3}-\zeta_{15}^{4}+\zeta_{15}^{6}+\cdots)q^{3}+\cdots$$
350.2.h.b $12$ $2.795$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$3$$ $$1$$ $$-5$$ $$-12$$ $$q+\beta _{5}q^{2}+(\beta _{1}-\beta _{3}+\beta _{7})q^{3}-\beta _{3}q^{4}+\cdots$$
350.2.h.c $16$ $2.795$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$-4$$ $$1$$ $$-4$$ $$-16$$ $$q+\beta _{6}q^{2}-\beta _{10}q^{3}-\beta _{1}q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
350.2.h.d $20$ $2.795$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$5$$ $$3$$ $$-5$$ $$20$$ $$q+\beta _{14}q^{2}+\beta _{1}q^{3}+\beta _{6}q^{4}+(\beta _{10}+\beta _{13}+\cdots)q^{5}+\cdots$$
350.2.j.a $4$ $2.795$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+(-2\zeta_{12}+2\zeta_{12}^{3})q^{3}+\cdots$$
350.2.j.b $4$ $2.795$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+(-\zeta_{12}+\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
350.2.j.c $4$ $2.795$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(3\zeta_{12}-2\zeta_{12}^{3})q^{7}+\cdots$$
350.2.j.d $4$ $2.795$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+(2\zeta_{12}-2\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
350.2.j.e $4$ $2.795$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+(2\zeta_{12}-2\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
350.2.j.f $4$ $2.795$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+(3\zeta_{12}-3\zeta_{12}^{3})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
350.2.m.a $24$ $2.795$ None $$0$$ $$0$$ $$10$$ $$0$$
350.2.m.b $40$ $2.795$ None $$0$$ $$0$$ $$6$$ $$0$$
350.2.o.a $8$ $2.795$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{7}q^{2}+(2\zeta_{24}-\zeta_{24}^{3}-\zeta_{24}^{5}+\cdots)q^{3}+\cdots$$
350.2.o.b $8$ $2.795$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{7}q^{2}+(2\zeta_{24}+\zeta_{24}^{3}-\zeta_{24}^{5}+\cdots)q^{3}+\cdots$$
350.2.o.c $16$ $2.795$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$-8$$ $$q+\beta _{13}q^{2}+(\beta _{3}-\beta _{7}-\beta _{15})q^{3}+(\beta _{11}+\cdots)q^{4}+\cdots$$
350.2.o.d $16$ $2.795$ 16.0.$$\cdots$$.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{5}+\beta _{7})q^{2}+(-\beta _{4}-\beta _{13}+\beta _{14}+\cdots)q^{3}+\cdots$$
350.2.q.a $8$ $2.795$ $$\Q(\zeta_{15})$$ None $$-1$$ $$-3$$ $$0$$ $$-4$$ $$q-\zeta_{15}q^{2}+(1-\zeta_{15}^{2}+\zeta_{15}^{3}-\zeta_{15}^{4}+\cdots)q^{3}+\cdots$$
350.2.q.b $72$ $2.795$ None $$-9$$ $$1$$ $$0$$ $$8$$
350.2.q.c $80$ $2.795$ None $$10$$ $$2$$ $$-2$$ $$4$$
350.2.r.a $160$ $2.795$ None $$0$$ $$0$$ $$0$$ $$8$$
350.2.u.a $160$ $2.795$ None $$0$$ $$0$$ $$-2$$ $$0$$
350.2.x.a $320$ $2.795$ None $$0$$ $$0$$ $$12$$ $$-8$$
350.3.b.a $4$ $9.537$ 4.0.7168.1 None $$0$$ $$0$$ $$0$$ $$-12$$ $$q+\beta _{3}q^{2}+\beta _{1}q^{3}+2q^{4}+(-\beta _{1}+\beta _{2}+\cdots)q^{6}+\cdots$$
350.3.b.b $4$ $9.537$ 4.0.7168.1 None $$0$$ $$0$$ $$0$$ $$12$$ $$q-\beta _{3}q^{2}+\beta _{1}q^{3}+2q^{4}+(\beta _{1}-\beta _{2}+\cdots)q^{6}+\cdots$$