## Results (1-50 of 130 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1710.2.a.a $1$ $13.654$ $$\Q$$ None $$-1$$ $$0$$ $$-1$$ $$-4$$ $+$ $$q-q^{2}+q^{4}-q^{5}-4q^{7}-q^{8}+q^{10}+\cdots$$
1710.2.a.b $1$ $13.654$ $$\Q$$ None $$-1$$ $$0$$ $$-1$$ $$-2$$ $-$ $$q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots$$
1710.2.a.c $1$ $13.654$ $$\Q$$ None $$-1$$ $$0$$ $$-1$$ $$-2$$ $+$ $$q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots$$
1710.2.a.d $1$ $13.654$ $$\Q$$ None $$-1$$ $$0$$ $$-1$$ $$-1$$ $+$ $$q-q^{2}+q^{4}-q^{5}-q^{7}-q^{8}+q^{10}+\cdots$$
1710.2.a.e $1$ $13.654$ $$\Q$$ None $$-1$$ $$0$$ $$-1$$ $$4$$ $+$ $$q-q^{2}+q^{4}-q^{5}+4q^{7}-q^{8}+q^{10}+\cdots$$
1710.2.a.f $1$ $13.654$ $$\Q$$ None $$-1$$ $$0$$ $$-1$$ $$4$$ $-$ $$q-q^{2}+q^{4}-q^{5}+4q^{7}-q^{8}+q^{10}+\cdots$$
1710.2.a.g $1$ $13.654$ $$\Q$$ None $$-1$$ $$0$$ $$1$$ $$-5$$ $-$ $$q-q^{2}+q^{4}+q^{5}-5q^{7}-q^{8}-q^{10}+\cdots$$
1710.2.a.h $1$ $13.654$ $$\Q$$ None $$-1$$ $$0$$ $$1$$ $$-2$$ $+$ $$q-q^{2}+q^{4}+q^{5}-2q^{7}-q^{8}-q^{10}+\cdots$$
1710.2.a.i $1$ $13.654$ $$\Q$$ None $$-1$$ $$0$$ $$1$$ $$0$$ $+$ $$q-q^{2}+q^{4}+q^{5}-q^{8}-q^{10}-4q^{11}+\cdots$$
1710.2.a.j $1$ $13.654$ $$\Q$$ None $$-1$$ $$0$$ $$1$$ $$2$$ $-$ $$q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots$$
1710.2.a.k $1$ $13.654$ $$\Q$$ None $$-1$$ $$0$$ $$1$$ $$2$$ $-$ $$q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots$$
1710.2.a.l $1$ $13.654$ $$\Q$$ None $$1$$ $$0$$ $$-1$$ $$-4$$ $+$ $$q+q^{2}+q^{4}-q^{5}-4q^{7}+q^{8}-q^{10}+\cdots$$
1710.2.a.m $1$ $13.654$ $$\Q$$ None $$1$$ $$0$$ $$-1$$ $$-2$$ $+$ $$q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots$$
1710.2.a.n $1$ $13.654$ $$\Q$$ None $$1$$ $$0$$ $$-1$$ $$-2$$ $-$ $$q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots$$
1710.2.a.o $1$ $13.654$ $$\Q$$ None $$1$$ $$0$$ $$-1$$ $$2$$ $-$ $$q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots$$
1710.2.a.p $1$ $13.654$ $$\Q$$ None $$1$$ $$0$$ $$1$$ $$-4$$ $+$ $$q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\cdots$$
1710.2.a.q $1$ $13.654$ $$\Q$$ None $$1$$ $$0$$ $$1$$ $$-2$$ $+$ $$q+q^{2}+q^{4}+q^{5}-2q^{7}+q^{8}+q^{10}+\cdots$$
1710.2.a.r $1$ $13.654$ $$\Q$$ None $$1$$ $$0$$ $$1$$ $$-1$$ $-$ $$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$$
1710.2.a.s $1$ $13.654$ $$\Q$$ None $$1$$ $$0$$ $$1$$ $$2$$ $-$ $$q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots$$
1710.2.a.t $1$ $13.654$ $$\Q$$ None $$1$$ $$0$$ $$1$$ $$4$$ $-$ $$q+q^{2}+q^{4}+q^{5}+4q^{7}+q^{8}+q^{10}+\cdots$$
1710.2.a.u $2$ $13.654$ $$\Q(\sqrt{3})$$ None $$-2$$ $$0$$ $$-2$$ $$4$$ $-$ $$q-q^{2}+q^{4}-q^{5}+2q^{7}-q^{8}+q^{10}+\cdots$$
1710.2.a.v $2$ $13.654$ $$\Q(\sqrt{17})$$ None $$-2$$ $$0$$ $$2$$ $$2$$ $-$ $$q-q^{2}+q^{4}+q^{5}+(1+\beta )q^{7}-q^{8}+\cdots$$
1710.2.a.w $2$ $13.654$ $$\Q(\sqrt{17})$$ None $$2$$ $$0$$ $$-2$$ $$-1$$ $+$ $$q+q^{2}+q^{4}-q^{5}-\beta q^{7}+q^{8}-q^{10}+\cdots$$
1710.2.a.x $2$ $13.654$ $$\Q(\sqrt{17})$$ None $$2$$ $$0$$ $$-2$$ $$2$$ $-$ $$q+q^{2}+q^{4}-q^{5}+(1+\beta )q^{7}+q^{8}+\cdots$$
1710.2.a.y $2$ $13.654$ $$\Q(\sqrt{3})$$ None $$2$$ $$0$$ $$2$$ $$4$$ $-$ $$q+q^{2}+q^{4}+q^{5}+2q^{7}+q^{8}+q^{10}+\cdots$$
1710.2.c.a $4$ $13.654$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}-q^{4}+(\zeta_{8}+2\zeta_{8}^{3})q^{5}+\zeta_{8}^{2}q^{8}+\cdots$$
1710.2.c.b $4$ $13.654$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}-q^{4}+(-2\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots$$
1710.2.c.c $8$ $13.654$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}q^{2}-q^{4}+(\zeta_{24}^{3}+\zeta_{24}^{4})q^{5}+\cdots$$
1710.2.c.d $24$ $13.654$ None $$0$$ $$0$$ $$0$$ $$0$$
1710.2.d.a $2$ $13.654$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+iq^{2}-q^{4}+(-2+i)q^{5}-iq^{8}+\cdots$$
1710.2.d.b $2$ $13.654$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q-iq^{2}-q^{4}+(1+2i)q^{5}+iq^{8}+(2+\cdots)q^{10}+\cdots$$
1710.2.d.c $4$ $13.654$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}-q^{4}+(\zeta_{8}+2\zeta_{8}^{3})q^{5}+(-\zeta_{8}+\cdots)q^{7}+\cdots$$
1710.2.d.d $6$ $13.654$ 6.0.5161984.1 None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\beta _{4}q^{2}-q^{4}+(\beta _{1}+\beta _{3})q^{5}+(-\beta _{4}+\cdots)q^{7}+\cdots$$
1710.2.d.e $6$ $13.654$ 6.0.350464.1 None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+\beta _{1}q^{2}-q^{4}-\beta _{2}q^{5}+(-\beta _{2}-\beta _{5})q^{7}+\cdots$$
1710.2.d.f $6$ $13.654$ 6.0.350464.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-q^{4}-\beta _{4}q^{5}+(-\beta _{2}-\beta _{5})q^{7}+\cdots$$
1710.2.d.g $8$ $13.654$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}q^{2}-q^{4}+\zeta_{24}^{7}q^{5}+(\zeta_{24}^{2}+\cdots)q^{7}+\cdots$$
1710.2.d.h $12$ $13.654$ 12.0.$$\cdots$$.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}-q^{4}-\beta _{2}q^{5}-\beta _{1}q^{7}+\beta _{3}q^{8}+\cdots$$
1710.2.f.a $16$ $13.654$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$-16$$ $$0$$ $$0$$ $$-8$$ $$q-q^{2}+q^{4}-\beta _{9}q^{5}+\beta _{3}q^{7}-q^{8}+\cdots$$
1710.2.f.b $16$ $13.654$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$16$$ $$0$$ $$0$$ $$-8$$ $$q+q^{2}+q^{4}-\beta _{9}q^{5}+\beta _{3}q^{7}+q^{8}+\cdots$$
1710.2.l.a $2$ $13.654$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-1$$ $$-2$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots$$
1710.2.l.b $2$ $13.654$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-1$$ $$4$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots$$
1710.2.l.c $2$ $13.654$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$1$$ $$-10$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(1-\zeta_{6})q^{5}+\cdots$$
1710.2.l.d $2$ $13.654$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$1$$ $$-10$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(1-\zeta_{6})q^{5}+\cdots$$
1710.2.l.e $2$ $13.654$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$-1$$ $$-10$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots$$
1710.2.l.f $2$ $13.654$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$-1$$ $$-2$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots$$
1710.2.l.g $2$ $13.654$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$-1$$ $$-2$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots$$
1710.2.l.h $2$ $13.654$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$-1$$ $$2$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots$$
1710.2.l.i $2$ $13.654$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$-1$$ $$6$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots$$
1710.2.l.j $4$ $13.654$ $$\Q(\sqrt{-3}, \sqrt{7})$$ None $$-2$$ $$0$$ $$-2$$ $$0$$ $$q+(-1-\beta _{2})q^{2}+\beta _{2}q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots$$
1710.2.l.k $4$ $13.654$ $$\Q(\sqrt{-3}, \sqrt{19})$$ None $$-2$$ $$0$$ $$-2$$ $$0$$ $$q+(-1-\beta _{2})q^{2}+\beta _{2}q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots$$