## Results (1-50 of 213 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1638.2.a.a $1$ $13.079$ $$\Q$$ None $$-1$$ $$0$$ $$-3$$ $$-1$$ $-$ $$q-q^{2}+q^{4}-3q^{5}-q^{7}-q^{8}+3q^{10}+\cdots$$
1638.2.a.b $1$ $13.079$ $$\Q$$ None $$-1$$ $$0$$ $$-3$$ $$1$$ $+$ $$q-q^{2}+q^{4}-3q^{5}+q^{7}-q^{8}+3q^{10}+\cdots$$
1638.2.a.c $1$ $13.079$ $$\Q$$ None $$-1$$ $$0$$ $$-2$$ $$-1$$ $-$ $$q-q^{2}+q^{4}-2q^{5}-q^{7}-q^{8}+2q^{10}+\cdots$$
1638.2.a.d $1$ $13.079$ $$\Q$$ None $$-1$$ $$0$$ $$-2$$ $$1$$ $+$ $$q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots$$
1638.2.a.e $1$ $13.079$ $$\Q$$ None $$-1$$ $$0$$ $$0$$ $$1$$ $+$ $$q-q^{2}+q^{4}+q^{7}-q^{8}+q^{13}-q^{14}+\cdots$$
1638.2.a.f $1$ $13.079$ $$\Q$$ None $$-1$$ $$0$$ $$0$$ $$1$$ $-$ $$q-q^{2}+q^{4}+q^{7}-q^{8}+3q^{11}+q^{13}+\cdots$$
1638.2.a.g $1$ $13.079$ $$\Q$$ None $$-1$$ $$0$$ $$1$$ $$-1$$ $-$ $$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$$
1638.2.a.h $1$ $13.079$ $$\Q$$ None $$-1$$ $$0$$ $$1$$ $$1$$ $+$ $$q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-q^{10}+\cdots$$
1638.2.a.i $1$ $13.079$ $$\Q$$ None $$-1$$ $$0$$ $$3$$ $$1$$ $-$ $$q-q^{2}+q^{4}+3q^{5}+q^{7}-q^{8}-3q^{10}+\cdots$$
1638.2.a.j $1$ $13.079$ $$\Q$$ None $$-1$$ $$0$$ $$4$$ $$-1$$ $-$ $$q-q^{2}+q^{4}+4q^{5}-q^{7}-q^{8}-4q^{10}+\cdots$$
1638.2.a.k $1$ $13.079$ $$\Q$$ None $$1$$ $$0$$ $$-4$$ $$-1$$ $-$ $$q+q^{2}+q^{4}-4q^{5}-q^{7}+q^{8}-4q^{10}+\cdots$$
1638.2.a.l $1$ $13.079$ $$\Q$$ None $$1$$ $$0$$ $$-3$$ $$1$$ $+$ $$q+q^{2}+q^{4}-3q^{5}+q^{7}+q^{8}-3q^{10}+\cdots$$
1638.2.a.m $1$ $13.079$ $$\Q$$ None $$1$$ $$0$$ $$-3$$ $$1$$ $+$ $$q+q^{2}+q^{4}-3q^{5}+q^{7}+q^{8}-3q^{10}+\cdots$$
1638.2.a.n $1$ $13.079$ $$\Q$$ None $$1$$ $$0$$ $$-1$$ $$-1$$ $+$ $$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$$
1638.2.a.o $1$ $13.079$ $$\Q$$ None $$1$$ $$0$$ $$-1$$ $$-1$$ $+$ $$q+q^{2}+q^{4}-q^{5}-q^{7}+q^{8}-q^{10}+\cdots$$
1638.2.a.p $1$ $13.079$ $$\Q$$ None $$1$$ $$0$$ $$0$$ $$1$$ $-$ $$q+q^{2}+q^{4}+q^{7}+q^{8}+q^{13}+q^{14}+\cdots$$
1638.2.a.q $1$ $13.079$ $$\Q$$ None $$1$$ $$0$$ $$0$$ $$1$$ $-$ $$q+q^{2}+q^{4}+q^{7}+q^{8}+5q^{11}-q^{13}+\cdots$$
1638.2.a.r $1$ $13.079$ $$\Q$$ None $$1$$ $$0$$ $$1$$ $$-1$$ $-$ $$q+q^{2}+q^{4}+q^{5}-q^{7}+q^{8}+q^{10}+\cdots$$
1638.2.a.s $1$ $13.079$ $$\Q$$ None $$1$$ $$0$$ $$2$$ $$-1$$ $-$ $$q+q^{2}+q^{4}+2q^{5}-q^{7}+q^{8}+2q^{10}+\cdots$$
1638.2.a.t $1$ $13.079$ $$\Q$$ None $$1$$ $$0$$ $$3$$ $$1$$ $-$ $$q+q^{2}+q^{4}+3q^{5}+q^{7}+q^{8}+3q^{10}+\cdots$$
1638.2.a.u $2$ $13.079$ $$\Q(\sqrt{17})$$ None $$-2$$ $$0$$ $$-3$$ $$-2$$ $+$ $$q-q^{2}+q^{4}+(-1-\beta )q^{5}-q^{7}-q^{8}+\cdots$$
1638.2.a.v $2$ $13.079$ $$\Q(\sqrt{33})$$ None $$-2$$ $$0$$ $$-1$$ $$-2$$ $+$ $$q-q^{2}+q^{4}-\beta q^{5}-q^{7}-q^{8}+\beta q^{10}+\cdots$$
1638.2.a.w $2$ $13.079$ $$\Q(\sqrt{41})$$ None $$-2$$ $$0$$ $$1$$ $$2$$ $-$ $$q-q^{2}+q^{4}+\beta q^{5}+q^{7}-q^{8}-\beta q^{10}+\cdots$$
1638.2.a.x $2$ $13.079$ $$\Q(\sqrt{33})$$ None $$2$$ $$0$$ $$1$$ $$-2$$ $-$ $$q+q^{2}+q^{4}+\beta q^{5}-q^{7}+q^{8}+\beta q^{10}+\cdots$$
1638.2.a.y $2$ $13.079$ $$\Q(\sqrt{57})$$ None $$2$$ $$0$$ $$1$$ $$2$$ $-$ $$q+q^{2}+q^{4}+\beta q^{5}+q^{7}+q^{8}+\beta q^{10}+\cdots$$
1638.2.c.a $2$ $13.079$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}+2iq^{5}-iq^{7}-iq^{8}+\cdots$$
1638.2.c.b $2$ $13.079$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}+2iq^{5}-iq^{7}-iq^{8}+\cdots$$
1638.2.c.c $2$ $13.079$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}+2iq^{5}+iq^{7}-iq^{8}+\cdots$$
1638.2.c.d $2$ $13.079$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}+2iq^{5}-iq^{7}-iq^{8}+\cdots$$
1638.2.c.e $2$ $13.079$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-q^{4}+iq^{5}-iq^{7}+iq^{8}+\cdots$$
1638.2.c.f $2$ $13.079$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-q^{4}+iq^{5}+iq^{7}+iq^{8}+\cdots$$
1638.2.c.g $2$ $13.079$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-q^{4}+3iq^{5}+iq^{7}+iq^{8}+\cdots$$
1638.2.c.h $4$ $13.079$ $$\Q(i, \sqrt{17})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}-q^{4}+(\beta _{1}-\beta _{2})q^{5}-\beta _{2}q^{7}+\cdots$$
1638.2.c.i $6$ $13.079$ 6.0.30647296.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{4}q^{2}-q^{4}+(-\beta _{1}-\beta _{2})q^{5}+\beta _{4}q^{7}+\cdots$$
1638.2.c.j $6$ $13.079$ 6.0.3356224.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-q^{4}+(-\beta _{1}-\beta _{4})q^{5}+\beta _{1}q^{7}+\cdots$$
1638.2.c.k $6$ $13.079$ 6.0.3356224.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-q^{4}+(-\beta _{1}-\beta _{4})q^{5}-\beta _{1}q^{7}+\cdots$$
1638.2.e.a $16$ $13.079$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$-16$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}+\beta _{6}q^{5}+\beta _{1}q^{7}-q^{8}+\cdots$$
1638.2.e.b $16$ $13.079$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$16$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}+\beta _{6}q^{5}-\beta _{2}q^{7}+q^{8}+\cdots$$
1638.2.g.a $8$ $13.079$ 8.0.40960000.1 None $$0$$ $$0$$ $$-8$$ $$0$$ $$q+\beta _{1}q^{2}-q^{4}+(-1-\beta _{3})q^{5}+(\beta _{2}+\cdots)q^{7}+\cdots$$
1638.2.g.b $8$ $13.079$ 8.0.836829184.2 None $$0$$ $$0$$ $$-8$$ $$4$$ $$q-\beta _{3}q^{2}-q^{4}+(-2-\beta _{1}-\beta _{6}+\beta _{7})q^{5}+\cdots$$
1638.2.g.c $8$ $13.079$ 8.0.40960000.1 None $$0$$ $$0$$ $$8$$ $$0$$ $$q-\beta _{1}q^{2}-q^{4}+(1-\beta _{3})q^{5}+(\beta _{2}+\beta _{4}+\cdots)q^{7}+\cdots$$
1638.2.g.d $8$ $13.079$ 8.0.836829184.2 None $$0$$ $$0$$ $$8$$ $$4$$ $$q-\beta _{3}q^{2}-q^{4}+(2+\beta _{1}+\beta _{6}-\beta _{7})q^{5}+\cdots$$
1638.2.j.a $2$ $13.079$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-2$$ $$-5$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-2\zeta_{6}q^{5}+\cdots$$
1638.2.j.b $2$ $13.079$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-2$$ $$-1$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-2\zeta_{6}q^{5}+\cdots$$
1638.2.j.c $2$ $13.079$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$0$$ $$5$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+(2+\zeta_{6})q^{7}+\cdots$$
1638.2.j.d $2$ $13.079$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$1$$ $$-5$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+\zeta_{6}q^{5}+(-3+\cdots)q^{7}+\cdots$$
1638.2.j.e $2$ $13.079$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$1$$ $$-1$$ $$q-\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}+\zeta_{6}q^{5}+(1+\cdots)q^{7}+\cdots$$
1638.2.j.f $2$ $13.079$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$-4$$ $$-1$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-4\zeta_{6}q^{5}+\cdots$$
1638.2.j.g $2$ $13.079$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$-1$$ $$-5$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{5}+(-3+\cdots)q^{7}+\cdots$$
1638.2.j.h $2$ $13.079$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$-1$$ $$-1$$ $$q+\zeta_{6}q^{2}+(-1+\zeta_{6})q^{4}-\zeta_{6}q^{5}+(1+\cdots)q^{7}+\cdots$$