## Results (1-50 of 180 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
798.2.a.a $1$ $6.372$ $$\Q$$ None $$-1$$ $$-1$$ $$0$$ $$-1$$ $+$ $$q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots$$
798.2.a.b $1$ $6.372$ $$\Q$$ None $$-1$$ $$1$$ $$-2$$ $$-1$$ $+$ $$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$$
798.2.a.c $1$ $6.372$ $$\Q$$ None $$-1$$ $$1$$ $$-2$$ $$1$$ $+$ $$q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}+q^{7}+\cdots$$
798.2.a.d $1$ $6.372$ $$\Q$$ None $$-1$$ $$1$$ $$0$$ $$1$$ $-$ $$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$$
798.2.a.e $1$ $6.372$ $$\Q$$ None $$-1$$ $$1$$ $$2$$ $$-1$$ $-$ $$q-q^{2}+q^{3}+q^{4}+2q^{5}-q^{6}-q^{7}+\cdots$$
798.2.a.f $1$ $6.372$ $$\Q$$ None $$-1$$ $$1$$ $$4$$ $$1$$ $-$ $$q-q^{2}+q^{3}+q^{4}+4q^{5}-q^{6}+q^{7}+\cdots$$
798.2.a.g $1$ $6.372$ $$\Q$$ None $$1$$ $$-1$$ $$-2$$ $$-1$$ $+$ $$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots$$
798.2.a.h $1$ $6.372$ $$\Q$$ None $$1$$ $$1$$ $$-4$$ $$-1$$ $+$ $$q+q^{2}+q^{3}+q^{4}-4q^{5}+q^{6}-q^{7}+\cdots$$
798.2.a.i $1$ $6.372$ $$\Q$$ None $$1$$ $$1$$ $$2$$ $$-1$$ $-$ $$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}-q^{7}+\cdots$$
798.2.a.j $2$ $6.372$ $$\Q(\sqrt{5})$$ None $$-2$$ $$-2$$ $$-2$$ $$2$$ $-$ $$q-q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}+q^{6}+\cdots$$
798.2.a.k $2$ $6.372$ $$\Q(\sqrt{3})$$ None $$-2$$ $$-2$$ $$0$$ $$-2$$ $-$ $$q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}-q^{7}+\cdots$$
798.2.a.l $2$ $6.372$ $$\Q(\sqrt{2})$$ None $$2$$ $$-2$$ $$0$$ $$2$$ $-$ $$q+q^{2}-q^{3}+q^{4}+\beta q^{5}-q^{6}+q^{7}+\cdots$$
798.2.a.m $2$ $6.372$ $$\Q(\sqrt{5})$$ None $$2$$ $$2$$ $$2$$ $$2$$ $-$ $$q+q^{2}+q^{3}+q^{4}+(1+\beta )q^{5}+q^{6}+\cdots$$
798.2.b.a $2$ $6.372$ $$\Q(\sqrt{-2})$$ None $$-2$$ $$-2$$ $$0$$ $$2$$ $$q-q^{2}+(-1+\beta )q^{3}+q^{4}+\beta q^{5}+(1+\cdots)q^{6}+\cdots$$
798.2.b.b $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$-2$$ $$0$$ $$0$$ $$-2$$ $$q-q^{2}+\zeta_{6}q^{3}+q^{4}-\zeta_{6}q^{6}-q^{7}+\cdots$$
798.2.b.c $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$2$$ $$0$$ $$0$$ $$-2$$ $$q+q^{2}+\zeta_{6}q^{3}+q^{4}+\zeta_{6}q^{6}-q^{7}+\cdots$$
798.2.b.d $2$ $6.372$ $$\Q(\sqrt{-2})$$ None $$2$$ $$2$$ $$0$$ $$2$$ $$q+q^{2}+(1-\beta )q^{3}+q^{4}+\beta q^{5}+(1-\beta )q^{6}+\cdots$$
798.2.b.e $8$ $6.372$ 8.0.$$\cdots$$.1 None $$-8$$ $$-1$$ $$0$$ $$-8$$ $$q-q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots$$
798.2.b.f $8$ $6.372$ 8.0.5240022544.1 None $$-8$$ $$1$$ $$0$$ $$8$$ $$q-q^{2}+\beta _{5}q^{3}+q^{4}+\beta _{1}q^{5}-\beta _{5}q^{6}+\cdots$$
798.2.b.g $8$ $6.372$ 8.0.5240022544.1 None $$8$$ $$-1$$ $$0$$ $$8$$ $$q+q^{2}-\beta _{5}q^{3}+q^{4}+\beta _{1}q^{5}-\beta _{5}q^{6}+\cdots$$
798.2.b.h $8$ $6.372$ 8.0.$$\cdots$$.1 None $$8$$ $$1$$ $$0$$ $$-8$$ $$q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{3}q^{5}+\beta _{1}q^{6}+\cdots$$
798.2.e.a $12$ $6.372$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$0$$ $$-12$$ $$0$$ $$0$$ $$q+\beta _{4}q^{2}-q^{3}-q^{4}-\beta _{2}q^{5}-\beta _{4}q^{6}+\cdots$$
798.2.e.b $12$ $6.372$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None $$0$$ $$12$$ $$0$$ $$0$$ $$q-\beta _{4}q^{2}+q^{3}-q^{4}-\beta _{2}q^{5}-\beta _{4}q^{6}+\cdots$$
798.2.f.a $24$ $6.372$ None $$0$$ $$0$$ $$0$$ $$-2$$
798.2.f.b $24$ $6.372$ None $$0$$ $$0$$ $$0$$ $$-2$$
798.2.i.a $14$ $6.372$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None $$-7$$ $$-14$$ $$2$$ $$4$$ $$q+(-1-\beta _{8})q^{2}-q^{3}+\beta _{8}q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
798.2.i.b $14$ $6.372$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None $$-7$$ $$14$$ $$0$$ $$6$$ $$q+(-1-\beta _{3})q^{2}+q^{3}+\beta _{3}q^{4}-\beta _{1}q^{5}+\cdots$$
798.2.i.c $14$ $6.372$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None $$7$$ $$-14$$ $$-4$$ $$0$$ $$q-\beta _{4}q^{2}-q^{3}+(-1-\beta _{4})q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots$$
798.2.i.d $14$ $6.372$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None $$7$$ $$14$$ $$-2$$ $$-6$$ $$q+(1-\beta _{6})q^{2}+q^{3}-\beta _{6}q^{4}-\beta _{7}q^{5}+\cdots$$
798.2.j.a $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$1$$ $$-1$$ $$1$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
798.2.j.b $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$-1$$ $$-5$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
798.2.j.c $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$-1$$ $$-1$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
798.2.j.d $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$-1$$ $$5$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
798.2.j.e $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$1$$ $$1$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
798.2.j.f $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$3$$ $$-1$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
798.2.j.g $4$ $6.372$ $$\Q(\zeta_{12})$$ None $$-2$$ $$2$$ $$-4$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}+(1-\zeta_{12}^{2})q^{3}+(-1+\zeta_{12}^{2}+\cdots)q^{4}+\cdots$$
798.2.j.h $4$ $6.372$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$-2$$ $$2$$ $$6$$ $$-2$$ $$q+\beta _{2}q^{2}+(1+\beta _{2})q^{3}+(-1-\beta _{2})q^{4}+\cdots$$
798.2.j.i $6$ $6.372$ 6.0.4406832.1 None $$-3$$ $$-3$$ $$5$$ $$-1$$ $$q-\beta _{4}q^{2}+(-1+\beta _{4})q^{3}+(-1+\beta _{4}+\cdots)q^{4}+\cdots$$
798.2.j.j $6$ $6.372$ 6.0.4406832.1 None $$3$$ $$3$$ $$-1$$ $$-1$$ $$q+\beta _{4}q^{2}+(1-\beta _{4})q^{3}+(-1+\beta _{4})q^{4}+\cdots$$
798.2.j.k $8$ $6.372$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$-4$$ $$-4$$ $$-2$$ $$-2$$ $$q-\beta _{2}q^{2}+(-1+\beta _{2})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots$$
798.2.j.l $8$ $6.372$ 8.0.856615824.2 None $$4$$ $$4$$ $$0$$ $$-2$$ $$q+(1-\beta _{1})q^{2}+\beta _{1}q^{3}-\beta _{1}q^{4}+(\beta _{5}+\cdots)q^{5}+\cdots$$
798.2.k.a $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$-3$$ $$2$$ $$q+(-1+\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
798.2.k.b $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$1$$ $$-2$$ $$q+(-1+\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
798.2.k.c $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$1$$ $$-2$$ $$q+(-1+\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
798.2.k.d $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$-1$$ $$-2$$ $$q+(1-\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
798.2.k.e $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$-1$$ $$2$$ $$q+(1-\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
798.2.k.f $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$-1$$ $$2$$ $$q+(1-\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
798.2.k.g $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$1$$ $$-2$$ $$q+(1-\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
798.2.k.h $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$3$$ $$2$$ $$q+(1-\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
798.2.k.i $2$ $6.372$ $$\Q(\sqrt{-3})$$ None $$1$$ $$1$$ $$3$$ $$-2$$ $$q+(1-\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$