## Results (1-50 of 112 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
966.2.a.a $1$ $7.714$ $$\Q$$ None $$-1$$ $$-1$$ $$-4$$ $$1$$ $+$ $$q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}+q^{7}+\cdots$$
966.2.a.b $1$ $7.714$ $$\Q$$ None $$-1$$ $$-1$$ $$-2$$ $$-1$$ $+$ $$q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}-q^{7}+\cdots$$
966.2.a.c $1$ $7.714$ $$\Q$$ None $$-1$$ $$-1$$ $$2$$ $$1$$ $+$ $$q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots$$
966.2.a.d $1$ $7.714$ $$\Q$$ None $$-1$$ $$-1$$ $$3$$ $$1$$ $-$ $$q-q^{2}-q^{3}+q^{4}+3q^{5}+q^{6}+q^{7}+\cdots$$
966.2.a.e $1$ $7.714$ $$\Q$$ None $$-1$$ $$1$$ $$0$$ $$-1$$ $+$ $$q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots$$
966.2.a.f $1$ $7.714$ $$\Q$$ None $$-1$$ $$1$$ $$0$$ $$1$$ $-$ $$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$$
966.2.a.g $1$ $7.714$ $$\Q$$ None $$1$$ $$-1$$ $$-2$$ $$1$$ $+$ $$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{7}+\cdots$$
966.2.a.h $1$ $7.714$ $$\Q$$ None $$1$$ $$-1$$ $$1$$ $$1$$ $-$ $$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots$$
966.2.a.i $1$ $7.714$ $$\Q$$ None $$1$$ $$1$$ $$-3$$ $$1$$ $-$ $$q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}+q^{7}+\cdots$$
966.2.a.j $1$ $7.714$ $$\Q$$ None $$1$$ $$1$$ $$-2$$ $$-1$$ $-$ $$q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}-q^{7}+\cdots$$
966.2.a.k $1$ $7.714$ $$\Q$$ None $$1$$ $$1$$ $$3$$ $$-1$$ $-$ $$q+q^{2}+q^{3}+q^{4}+3q^{5}+q^{6}-q^{7}+\cdots$$
966.2.a.l $2$ $7.714$ $$\Q(\sqrt{17})$$ None $$-2$$ $$-2$$ $$1$$ $$-2$$ $-$ $$q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}-q^{7}+\cdots$$
966.2.a.m $2$ $7.714$ $$\Q(\sqrt{41})$$ None $$-2$$ $$2$$ $$-1$$ $$-2$$ $-$ $$q-q^{2}+q^{3}+q^{4}-\beta q^{5}-q^{6}-q^{7}+\cdots$$
966.2.a.n $2$ $7.714$ $$\Q(\sqrt{41})$$ None $$-2$$ $$2$$ $$1$$ $$2$$ $-$ $$q-q^{2}+q^{3}+q^{4}+\beta q^{5}-q^{6}+q^{7}+\cdots$$
966.2.a.o $2$ $7.714$ $$\Q(\sqrt{33})$$ None $$2$$ $$-2$$ $$-3$$ $$-2$$ $-$ $$q+q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots$$
966.2.a.p $2$ $7.714$ $$\Q(\sqrt{5})$$ None $$2$$ $$2$$ $$4$$ $$2$$ $-$ $$q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots$$
966.2.f.a $4$ $7.714$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$8$$ $$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{3}-q^{4}-\zeta_{12}^{3}q^{5}+\cdots$$
966.2.f.b $24$ $7.714$ None $$0$$ $$0$$ $$0$$ $$-4$$
966.2.f.c $28$ $7.714$ None $$0$$ $$0$$ $$0$$ $$4$$
966.2.g.a $4$ $7.714$ $$\Q(i, \sqrt{14})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{2}q^{6}+\beta _{1}q^{7}+\cdots$$
966.2.g.b $4$ $7.714$ $$\Q(i, \sqrt{14})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+\beta _{2}q^{3}+q^{4}+(-\beta _{1}+\beta _{3})q^{5}+\cdots$$
966.2.g.c $4$ $7.714$ $$\Q(i, \sqrt{7})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+\beta _{3}q^{7}+\cdots$$
966.2.g.d $4$ $7.714$ $$\Q(i, \sqrt{7})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots$$
966.2.g.e $16$ $7.714$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$16$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+\beta _{2}q^{3}+q^{4}-\beta _{8}q^{5}+\beta _{2}q^{6}+\cdots$$
966.2.h.a $24$ $7.714$ None $$0$$ $$4$$ $$-4$$ $$0$$
966.2.h.b $24$ $7.714$ None $$0$$ $$4$$ $$4$$ $$0$$
966.2.i.a $2$ $7.714$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$-4$$ $$-5$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
966.2.i.b $2$ $7.714$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$0$$ $$1$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
966.2.i.c $2$ $7.714$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$1$$ $$-1$$ $$-1$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
966.2.i.d $2$ $7.714$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$1$$ $$3$$ $$-5$$ $$q-\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
966.2.i.e $2$ $7.714$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$-3$$ $$1$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
966.2.i.f $2$ $7.714$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$0$$ $$-1$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
966.2.i.g $2$ $7.714$ $$\Q(\sqrt{-3})$$ None $$1$$ $$1$$ $$3$$ $$5$$ $$q+\zeta_{6}q^{2}+(1-\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
966.2.i.h $4$ $7.714$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$-2$$ $$-2$$ $$2$$ $$-2$$ $$q+\beta _{2}q^{2}+(-1-\beta _{2})q^{3}+(-1-\beta _{2}+\cdots)q^{4}+\cdots$$
966.2.i.i $4$ $7.714$ $$\Q(\sqrt{-3}, \sqrt{17})$$ None $$2$$ $$-2$$ $$1$$ $$2$$ $$q+\beta _{2}q^{2}+(-1+\beta _{2})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots$$
966.2.i.j $4$ $7.714$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$2$$ $$-2$$ $$2$$ $$-2$$ $$q+(1+\beta _{2})q^{2}+\beta _{2}q^{3}+\beta _{2}q^{4}+(1+\beta _{1}+\cdots)q^{5}+\cdots$$
966.2.i.k $6$ $7.714$ 6.0.29428272.1 None $$3$$ $$3$$ $$-3$$ $$-3$$ $$q+(1+\beta _{3})q^{2}-\beta _{3}q^{3}+\beta _{3}q^{4}+(-1+\cdots)q^{5}+\cdots$$
966.2.i.l $8$ $7.714$ 8.0.1768034304.4 None $$-4$$ $$-4$$ $$4$$ $$0$$ $$q+(-1-\beta _{2})q^{2}+\beta _{2}q^{3}+\beta _{2}q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots$$
966.2.i.m $8$ $7.714$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$-4$$ $$4$$ $$-2$$ $$6$$ $$q+(-1-\beta _{1})q^{2}-\beta _{1}q^{3}+\beta _{1}q^{4}+(-1+\cdots)q^{5}+\cdots$$
966.2.i.n $8$ $7.714$ 8.0.$$\cdots$$.2 None $$4$$ $$4$$ $$-2$$ $$0$$ $$q+(1+\beta _{5})q^{2}-\beta _{5}q^{3}+\beta _{5}q^{4}-\beta _{1}q^{5}+\cdots$$
966.2.j.a $128$ $7.714$ None $$0$$ $$0$$ $$0$$ $$0$$
966.2.k.a $32$ $7.714$ None $$-16$$ $$0$$ $$0$$ $$0$$
966.2.k.b $32$ $7.714$ None $$16$$ $$0$$ $$0$$ $$0$$
966.2.l.a $4$ $7.714$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+(\zeta_{12}-\zeta_{12}^{3})q^{2}+(\zeta_{12}-2\zeta_{12}^{3})q^{3}+\cdots$$
966.2.l.b $4$ $7.714$ $$\Q(\zeta_{12})$$ None $$0$$ $$6$$ $$0$$ $$-10$$ $$q+(-\zeta_{12}+\zeta_{12}^{3})q^{2}+(1+\zeta_{12}^{2})q^{3}+\cdots$$
966.2.l.c $56$ $7.714$ None $$0$$ $$-6$$ $$0$$ $$20$$
966.2.l.d $56$ $7.714$ None $$0$$ $$0$$ $$0$$ $$8$$
966.2.q.a $10$ $7.714$ $$\Q(\zeta_{22})$$ None $$-1$$ $$-1$$ $$-14$$ $$1$$ $$q+\zeta_{22}^{4}q^{2}+(-1+\zeta_{22}-\zeta_{22}^{2}+\zeta_{22}^{3}+\cdots)q^{3}+\cdots$$
966.2.q.b $10$ $7.714$ $$\Q(\zeta_{22})$$ None $$-1$$ $$-1$$ $$2$$ $$1$$ $$q+\zeta_{22}^{4}q^{2}+(-1+\zeta_{22}-\zeta_{22}^{2}+\zeta_{22}^{3}+\cdots)q^{3}+\cdots$$
966.2.q.c $10$ $7.714$ $$\Q(\zeta_{22})$$ None $$1$$ $$-1$$ $$0$$ $$-1$$ $$q-\zeta_{22}^{4}q^{2}+(-1+\zeta_{22}-\zeta_{22}^{2}+\zeta_{22}^{3}+\cdots)q^{3}+\cdots$$