## Results (1-50 of 247 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
546.2.a.a $1$ $4.360$ $$\Q$$ None $$-1$$ $$-1$$ $$-1$$ $$-1$$ $-$ $$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-q^{7}+\cdots$$
546.2.a.b $1$ $4.360$ $$\Q$$ None $$-1$$ $$1$$ $$-2$$ $$-1$$ $+$ $$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$$
546.2.a.c $1$ $4.360$ $$\Q$$ None $$-1$$ $$1$$ $$1$$ $$-1$$ $-$ $$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots$$
546.2.a.d $1$ $4.360$ $$\Q$$ None $$-1$$ $$1$$ $$3$$ $$1$$ $-$ $$q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}+q^{7}+\cdots$$
546.2.a.e $1$ $4.360$ $$\Q$$ None $$1$$ $$-1$$ $$3$$ $$-1$$ $-$ $$q+q^{2}-q^{3}+q^{4}+3q^{5}-q^{6}-q^{7}+\cdots$$
546.2.a.f $1$ $4.360$ $$\Q$$ None $$1$$ $$1$$ $$-1$$ $$1$$ $-$ $$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots$$
546.2.a.g $1$ $4.360$ $$\Q$$ None $$1$$ $$1$$ $$2$$ $$1$$ $-$ $$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots$$
546.2.a.h $2$ $4.360$ $$\Q(\sqrt{57})$$ None $$-2$$ $$-2$$ $$-1$$ $$2$$ $-$ $$q-q^{2}-q^{3}+q^{4}-\beta q^{5}+q^{6}+q^{7}+\cdots$$
546.2.a.i $2$ $4.360$ $$\Q(\sqrt{41})$$ None $$2$$ $$-2$$ $$-1$$ $$2$$ $-$ $$q+q^{2}-q^{3}+q^{4}-\beta q^{5}-q^{6}+q^{7}+\cdots$$
546.2.a.j $2$ $4.360$ $$\Q(\sqrt{17})$$ None $$2$$ $$2$$ $$3$$ $$-2$$ $-$ $$q+q^{2}+q^{3}+q^{4}+(2-\beta )q^{5}+q^{6}+\cdots$$
546.2.c.a $2$ $4.360$ $$\Q(\sqrt{-1})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+iq^{2}-q^{3}-q^{4}-iq^{5}-iq^{6}+iq^{7}+\cdots$$
546.2.c.b $2$ $4.360$ $$\Q(\sqrt{-1})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+iq^{2}+q^{3}-q^{4}+2iq^{5}+iq^{6}+\cdots$$
546.2.c.c $2$ $4.360$ $$\Q(\sqrt{-1})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+iq^{2}+q^{3}-q^{4}-iq^{5}+iq^{6}-iq^{7}+\cdots$$
546.2.c.d $2$ $4.360$ $$\Q(\sqrt{-1})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+iq^{2}+q^{3}-q^{4}-3iq^{5}+iq^{6}+\cdots$$
546.2.c.e $4$ $4.360$ $$\Q(i, \sqrt{17})$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}-q^{3}-q^{4}+(\beta _{1}-\beta _{2})q^{5}+\cdots$$
546.2.e.a $2$ $4.360$ $$\Q(\sqrt{-3})$$ None $$-2$$ $$-3$$ $$0$$ $$-5$$ $$q-q^{2}+(-1-\zeta_{6})q^{3}+q^{4}+(-1+2\zeta_{6})q^{5}+\cdots$$
546.2.e.b $2$ $4.360$ $$\Q(\sqrt{-3})$$ None $$-2$$ $$3$$ $$0$$ $$5$$ $$q-q^{2}+(1+\zeta_{6})q^{3}+q^{4}+(1-2\zeta_{6})q^{5}+\cdots$$
546.2.e.c $2$ $4.360$ $$\Q(\sqrt{-3})$$ None $$2$$ $$-3$$ $$0$$ $$5$$ $$q+q^{2}+(-1-\zeta_{6})q^{3}+q^{4}+(1-2\zeta_{6})q^{5}+\cdots$$
546.2.e.d $2$ $4.360$ $$\Q(\sqrt{-3})$$ None $$2$$ $$3$$ $$0$$ $$-5$$ $$q+q^{2}+(1+\zeta_{6})q^{3}+q^{4}+(-1+2\zeta_{6})q^{5}+\cdots$$
546.2.e.e $8$ $4.360$ 8.0.303595776.1 None $$-8$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+\beta _{1}q^{3}+q^{4}+(\beta _{1}-\beta _{5}+\beta _{7})q^{5}+\cdots$$
546.2.e.f $8$ $4.360$ 8.0.$$\cdots$$.11 None $$-8$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}-\beta _{7}q^{3}+q^{4}+(\beta _{1}+\beta _{7})q^{5}+\cdots$$
546.2.e.g $8$ $4.360$ 8.0.303595776.1 None $$8$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+\beta _{1}q^{3}+q^{4}+(-\beta _{1}+\beta _{5}-\beta _{7})q^{5}+\cdots$$
546.2.e.h $8$ $4.360$ 8.0.$$\cdots$$.11 None $$8$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+\beta _{1}q^{3}+q^{4}+(\beta _{1}+\beta _{7})q^{5}+\cdots$$
546.2.g.a $4$ $4.360$ $$\Q(i, \sqrt{5})$$ None $$0$$ $$-2$$ $$4$$ $$6$$ $$q+\beta _{2}q^{2}+(-1-\beta _{1})q^{3}-q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
546.2.g.b $4$ $4.360$ $$\Q(i, \sqrt{5})$$ None $$0$$ $$2$$ $$-4$$ $$6$$ $$q-\beta _{2}q^{2}+(\beta _{2}+\beta _{3})q^{3}-q^{4}+(-2+\cdots)q^{5}+\cdots$$
546.2.g.c $12$ $4.360$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$0$$ $$-2$$ $$4$$ $$-8$$ $$q-\beta _{5}q^{2}+\beta _{3}q^{3}-q^{4}-\beta _{4}q^{5}+\beta _{6}q^{6}+\cdots$$
546.2.g.d $12$ $4.360$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$0$$ $$2$$ $$-4$$ $$-8$$ $$q-\beta _{5}q^{2}-\beta _{3}q^{3}-q^{4}+\beta _{4}q^{5}-\beta _{6}q^{6}+\cdots$$
546.2.i.a $2$ $4.360$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$-3$$ $$-1$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
546.2.i.b $2$ $4.360$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$1$$ $$-1$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
546.2.i.c $2$ $4.360$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$4$$ $$-1$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
546.2.i.d $2$ $4.360$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$1$$ $$0$$ $$-5$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
546.2.i.e $2$ $4.360$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$2$$ $$-5$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
546.2.i.f $2$ $4.360$ $$\Q(\sqrt{-3})$$ None $$1$$ $$1$$ $$-1$$ $$-1$$ $$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
546.2.i.g $2$ $4.360$ $$\Q(\sqrt{-3})$$ None $$1$$ $$1$$ $$2$$ $$-1$$ $$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
546.2.i.h $4$ $4.360$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$-2$$ $$-2$$ $$0$$ $$2$$ $$q+(-1-\beta _{2})q^{2}+\beta _{2}q^{3}+\beta _{2}q^{4}+\beta _{1}q^{5}+\cdots$$
546.2.i.i $4$ $4.360$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$-2$$ $$2$$ $$4$$ $$-2$$ $$q+\beta _{2}q^{2}+(1+\beta _{2})q^{3}+(-1-\beta _{2})q^{4}+\cdots$$
546.2.i.j $4$ $4.360$ $$\Q(\sqrt{-3}, \sqrt{7})$$ None $$2$$ $$-2$$ $$2$$ $$0$$ $$q+(1+\beta _{2})q^{2}+\beta _{2}q^{3}+\beta _{2}q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots$$
546.2.i.k $6$ $4.360$ 6.0.21870000.1 None $$3$$ $$3$$ $$-3$$ $$3$$ $$q+(1+\beta _{2})q^{2}-\beta _{2}q^{3}+\beta _{2}q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
546.2.j.a $2$ $4.360$ $$\Q(\sqrt{-3})$$ None $$2$$ $$1$$ $$0$$ $$1$$ $$q+q^{2}+\zeta_{6}q^{3}+q^{4}+\zeta_{6}q^{6}+(2-3\zeta_{6})q^{7}+\cdots$$
546.2.j.b $8$ $4.360$ 8.0.6498455769.2 None $$-8$$ $$-4$$ $$-2$$ $$3$$ $$q-q^{2}-\beta _{4}q^{3}+q^{4}+\beta _{2}q^{5}+\beta _{4}q^{6}+\cdots$$
546.2.j.c $8$ $4.360$ 8.0.447703281.1 None $$8$$ $$-4$$ $$2$$ $$3$$ $$q+q^{2}+(-1+\beta _{2})q^{3}+q^{4}+(1-\beta _{2}+\cdots)q^{5}+\cdots$$
546.2.j.d $8$ $4.360$ 8.0.447703281.1 None $$8$$ $$4$$ $$2$$ $$-3$$ $$q+q^{2}-\beta _{3}q^{3}+q^{4}+(2\beta _{1}+2\beta _{2}-\beta _{3}+\cdots)q^{5}+\cdots$$
546.2.j.e $10$ $4.360$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$-10$$ $$5$$ $$-2$$ $$-2$$ $$q-q^{2}+(1+\beta _{5})q^{3}+q^{4}-\beta _{1}q^{5}+(-1+\cdots)q^{6}+\cdots$$
546.2.k.a $2$ $4.360$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-2$$ $$0$$ $$-5$$ $$q-\zeta_{6}q^{2}-q^{3}+(-1+\zeta_{6})q^{4}+\zeta_{6}q^{6}+\cdots$$
546.2.k.b $8$ $4.360$ 8.0.447703281.1 None $$-4$$ $$-8$$ $$2$$ $$3$$ $$q+\beta _{3}q^{2}-q^{3}+(-1-\beta _{3})q^{4}+(1-2\beta _{1}+\cdots)q^{5}+\cdots$$
546.2.k.c $8$ $4.360$ 8.0.447703281.1 None $$-4$$ $$8$$ $$2$$ $$-3$$ $$q-\beta _{2}q^{2}+q^{3}+(-1+\beta _{2})q^{4}+(1-\beta _{2}+\cdots)q^{5}+\cdots$$
546.2.k.d $8$ $4.360$ 8.0.6498455769.2 None $$4$$ $$8$$ $$-2$$ $$3$$ $$q+(1-\beta _{4})q^{2}+q^{3}-\beta _{4}q^{4}+\beta _{2}q^{5}+\cdots$$
546.2.k.e $10$ $4.360$ $$\mathbb{Q}[x]/(x^{10} - \cdots)$$ None $$5$$ $$-10$$ $$-2$$ $$4$$ $$q+(1+\beta _{5})q^{2}-q^{3}+\beta _{5}q^{4}+(\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$$
546.2.l.a $2$ $4.360$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$0$$ $$-1$$ $$q+(-1+\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
546.2.l.b $2$ $4.360$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$1$$ $$6$$ $$1$$ $$q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$