## Results (1-50 of 187 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
338.2.a.a $1$ $2.699$ $$\Q$$ None $$-1$$ $$-3$$ $$1$$ $$-1$$ $+$ $$q-q^{2}-3q^{3}+q^{4}+q^{5}+3q^{6}-q^{7}+\cdots$$
338.2.a.b $1$ $2.699$ $$\Q$$ None $$-1$$ $$-1$$ $$3$$ $$3$$ $-$ $$q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}+3q^{7}+\cdots$$
338.2.a.c $1$ $2.699$ $$\Q$$ None $$-1$$ $$0$$ $$1$$ $$-4$$ $+$ $$q-q^{2}+q^{4}+q^{5}-4q^{7}-q^{8}-3q^{9}+\cdots$$
338.2.a.d $1$ $2.699$ $$\Q$$ None $$1$$ $$-1$$ $$-3$$ $$-3$$ $+$ $$q+q^{2}-q^{3}+q^{4}-3q^{5}-q^{6}-3q^{7}+\cdots$$
338.2.a.e $1$ $2.699$ $$\Q$$ None $$1$$ $$0$$ $$-1$$ $$4$$ $-$ $$q+q^{2}+q^{4}-q^{5}+4q^{7}+q^{8}-3q^{9}+\cdots$$
338.2.a.f $1$ $2.699$ $$\Q$$ None $$1$$ $$1$$ $$3$$ $$1$$ $-$ $$q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}+q^{7}+\cdots$$
338.2.a.g $3$ $2.699$ $$\Q(\zeta_{14})^+$$ None $$-3$$ $$3$$ $$-2$$ $$4$$ $-$ $$q-q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+q^{4}-2\beta _{1}q^{5}+\cdots$$
338.2.a.h $3$ $2.699$ $$\Q(\zeta_{14})^+$$ None $$3$$ $$3$$ $$2$$ $$-4$$ $-$ $$q+q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+q^{4}+2\beta _{1}q^{5}+\cdots$$
338.2.b.a $2$ $2.699$ $$\Q(\sqrt{-1})$$ None $$0$$ $$-6$$ $$0$$ $$0$$ $$q+iq^{2}-3q^{3}-q^{4}-iq^{5}-3iq^{6}+\cdots$$
338.2.b.b $2$ $2.699$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}-iq^{5}-4iq^{7}-iq^{8}+\cdots$$
338.2.b.c $2$ $2.699$ $$\Q(\sqrt{-1})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+iq^{2}+q^{3}-q^{4}+3iq^{5}+iq^{6}+\cdots$$
338.2.b.d $6$ $2.699$ 6.0.153664.1 None $$0$$ $$6$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}+(1+\beta _{2}-\beta _{4})q^{3}-q^{4}-2\beta _{1}q^{5}+\cdots$$
338.2.c.a $2$ $2.699$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$6$$ $$-1$$ $$q+(-1+\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
338.2.c.b $2$ $2.699$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$1$$ $$-6$$ $$3$$ $$q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
338.2.c.c $2$ $2.699$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$3$$ $$-2$$ $$-1$$ $$q+(-1+\zeta_{6})q^{2}+(3-3\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
338.2.c.d $2$ $2.699$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$-6$$ $$1$$ $$q+(1-\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
338.2.c.e $2$ $2.699$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$2$$ $$4$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+q^{5}+4\zeta_{6}q^{7}+\cdots$$
338.2.c.f $2$ $2.699$ $$\Q(\sqrt{-3})$$ None $$1$$ $$1$$ $$6$$ $$-3$$ $$q+(1-\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
338.2.c.g $2$ $2.699$ $$\Q(\sqrt{-3})$$ None $$1$$ $$3$$ $$2$$ $$1$$ $$q+(1-\zeta_{6})q^{2}+(3-3\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
338.2.c.h $6$ $2.699$ 6.0.64827.1 None $$-3$$ $$-3$$ $$4$$ $$4$$ $$q-\beta _{5}q^{2}+(\beta _{1}-\beta _{2}-\beta _{3}-\beta _{4}-\beta _{5})q^{3}+\cdots$$
338.2.c.i $6$ $2.699$ 6.0.64827.1 None $$3$$ $$-3$$ $$-4$$ $$-4$$ $$q+(1-\beta _{5})q^{2}+(-1-\beta _{1}+\beta _{4}+\beta _{5})q^{3}+\cdots$$
338.2.e.a $4$ $2.699$ $$\Q(\zeta_{12})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+(-1+\zeta_{12}^{2})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
338.2.e.b $4$ $2.699$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{3}q^{5}+(4\zeta_{12}+\cdots)q^{7}+\cdots$$
338.2.e.c $4$ $2.699$ $$\Q(\zeta_{12})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+(1-\zeta_{12}^{2})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
338.2.e.d $4$ $2.699$ $$\Q(\zeta_{12})$$ None $$0$$ $$6$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+(3-3\zeta_{12}^{2})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
338.2.e.e $12$ $2.699$ 12.0.$$\cdots$$.1 None $$0$$ $$-6$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}+(\beta _{4}+2\beta _{9})q^{3}+\beta _{7}q^{4}+(2\beta _{2}+\cdots)q^{5}+\cdots$$
338.2.g.a $96$ $2.699$ None $$8$$ $$-1$$ $$3$$ $$-13$$
338.2.g.b $108$ $2.699$ None $$-9$$ $$-1$$ $$-5$$ $$5$$
338.2.h.a $192$ $2.699$ None $$0$$ $$2$$ $$0$$ $$0$$
338.2.i.a $168$ $2.699$ None $$-7$$ $$0$$ $$0$$ $$14$$
338.2.i.b $192$ $2.699$ None $$8$$ $$0$$ $$2$$ $$-10$$
338.2.k.a $336$ $2.699$ None $$0$$ $$0$$ $$0$$ $$0$$
338.3.d.a $2$ $9.210$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$6$$ $$-4$$ $$q+(-1-i)q^{2}+2iq^{4}+(3+3i)q^{5}+\cdots$$
338.3.d.b $2$ $9.210$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$8$$ $$-8$$ $$-10$$ $$q+(-1-i)q^{2}+4q^{3}+2iq^{4}+(-4+\cdots)q^{5}+\cdots$$
338.3.d.c $2$ $9.210$ $$\Q(\sqrt{-1})$$ None $$2$$ $$8$$ $$8$$ $$10$$ $$q+(1+i)q^{2}+4q^{3}+2iq^{4}+(4+4i)q^{5}+\cdots$$
338.3.d.d $4$ $9.210$ $$\Q(\zeta_{12})$$ None $$-4$$ $$0$$ $$0$$ $$2$$ $$q+(-1-\zeta_{12}^{2})q^{2}+(\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{3}+\cdots$$
338.3.d.e $4$ $9.210$ $$\Q(\zeta_{12})$$ None $$4$$ $$0$$ $$0$$ $$-2$$ $$q+(1+\zeta_{12}^{2})q^{2}+(\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{3}+\cdots$$
338.3.d.f $8$ $9.210$ 8.0.$$\cdots$$.1 None $$-8$$ $$0$$ $$-6$$ $$-10$$ $$q+(-1+\beta _{5})q^{2}+(-1+\beta _{1}+\beta _{3}+\beta _{5}+\cdots)q^{3}+\cdots$$
338.3.d.g $8$ $9.210$ 8.0.$$\cdots$$.1 None $$8$$ $$0$$ $$6$$ $$10$$ $$q+(1-\beta _{5})q^{2}+(-1+\beta _{1}+\beta _{3}+\beta _{5}+\cdots)q^{3}+\cdots$$
338.3.d.h $12$ $9.210$ 12.0.$$\cdots$$.2 None $$-12$$ $$-8$$ $$8$$ $$24$$ $$q+(-1+\beta _{1})q^{2}+(-1+\beta _{4}+\beta _{7}-\beta _{9}+\cdots)q^{3}+\cdots$$
338.3.d.i $12$ $9.210$ 12.0.$$\cdots$$.2 None $$12$$ $$-8$$ $$-8$$ $$-24$$ $$q+(1-\beta _{1})q^{2}+(-1+\beta _{4}+\beta _{7}-\beta _{9}+\cdots)q^{3}+\cdots$$
338.3.f.a $4$ $9.210$ $$\Q(\zeta_{12})$$ None $$-2$$ $$-8$$ $$16$$ $$-10$$ $$q+(-\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}-4\zeta_{12}^{2}q^{3}+\cdots$$
338.3.f.b $4$ $9.210$ $$\Q(\zeta_{12})$$ None $$-2$$ $$0$$ $$-12$$ $$-4$$ $$q+(-\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}+2\zeta_{12}q^{4}+\cdots$$
338.3.f.c $4$ $9.210$ $$\Q(\zeta_{12})$$ None $$-2$$ $$0$$ $$0$$ $$-20$$ $$q+(-\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}+(\zeta_{12}+\cdots)q^{3}+\cdots$$
338.3.f.d $4$ $9.210$ $$\Q(\zeta_{12})$$ None $$-2$$ $$0$$ $$0$$ $$22$$ $$q+(-\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}+(-\zeta_{12}+\cdots)q^{3}+\cdots$$
338.3.f.e $4$ $9.210$ $$\Q(\zeta_{12})$$ None $$2$$ $$-8$$ $$-16$$ $$10$$ $$q+(\zeta_{12}+\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}-4\zeta_{12}^{2}q^{3}+\cdots$$
338.3.f.f $4$ $9.210$ $$\Q(\zeta_{12})$$ None $$2$$ $$0$$ $$0$$ $$20$$ $$q+(\zeta_{12}+\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+(\zeta_{12}+\zeta_{12}^{3})q^{3}+\cdots$$
338.3.f.g $4$ $9.210$ $$\Q(\zeta_{12})$$ None $$2$$ $$0$$ $$12$$ $$4$$ $$q+(\zeta_{12}+\zeta_{12}^{2}-\zeta_{12}^{3})q^{2}+2\zeta_{12}q^{4}+\cdots$$
338.3.f.h $8$ $9.210$ 8.0.$$\cdots$$.1 None $$-4$$ $$0$$ $$6$$ $$-8$$ $$q+(-\beta _{3}+\beta _{4})q^{2}+(\beta _{2}-\beta _{5})q^{3}-2\beta _{5}q^{4}+\cdots$$
338.3.f.i $8$ $9.210$ 8.0.$$\cdots$$.1 None $$4$$ $$0$$ $$-6$$ $$2$$ $$q+(\beta _{3}+\beta _{4})q^{2}+(\beta _{2}-\beta _{5})q^{3}+2\beta _{5}q^{4}+\cdots$$