## Results (1-50 of 105 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
414.2.a.a $1$ $3.306$ $$\Q$$ None $$-1$$ $$0$$ $$-2$$ $$0$$ $+$ $$q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}-2q^{13}+\cdots$$
414.2.a.b $1$ $3.306$ $$\Q$$ None $$1$$ $$0$$ $$-4$$ $$-4$$ $+$ $$q+q^{2}+q^{4}-4q^{5}-4q^{7}+q^{8}-4q^{10}+\cdots$$
414.2.a.c $1$ $3.306$ $$\Q$$ None $$1$$ $$0$$ $$0$$ $$2$$ $-$ $$q+q^{2}+q^{4}+2q^{7}+q^{8}+2q^{13}+2q^{14}+\cdots$$
414.2.a.d $1$ $3.306$ $$\Q$$ None $$1$$ $$0$$ $$2$$ $$-2$$ $-$ $$q+q^{2}+q^{4}+2q^{5}-2q^{7}+q^{8}+2q^{10}+\cdots$$
414.2.a.e $2$ $3.306$ $$\Q(\sqrt{7})$$ None $$-2$$ $$0$$ $$-2$$ $$4$$ $-$ $$q-q^{2}+q^{4}+(-1+\beta )q^{5}+2q^{7}-q^{8}+\cdots$$
414.2.a.f $2$ $3.306$ $$\Q(\sqrt{5})$$ None $$-2$$ $$0$$ $$2$$ $$0$$ $-$ $$q-q^{2}+q^{4}+(1+\beta )q^{5}+2\beta q^{7}-q^{8}+\cdots$$
414.2.a.g $2$ $3.306$ $$\Q(\sqrt{7})$$ None $$2$$ $$0$$ $$2$$ $$4$$ $-$ $$q+q^{2}+q^{4}+(1+\beta )q^{5}+2q^{7}+q^{8}+\cdots$$
414.2.d.a $8$ $3.306$ $$\Q(\zeta_{16})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{16}q^{2}-q^{4}-\zeta_{16}^{5}q^{5}-2\zeta_{16}^{4}q^{7}+\cdots$$
414.2.e.a $2$ $3.306$ $$\Q(\sqrt{-3})$$ None $$1$$ $$3$$ $$-4$$ $$0$$ $$q+(1-\zeta_{6})q^{2}+(1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
414.2.e.b $10$ $3.306$ 10.0.$$\cdots$$.1 None $$-5$$ $$1$$ $$-5$$ $$-3$$ $$q-\beta _{3}q^{2}-\beta _{7}q^{3}+(-1+\beta _{3})q^{4}+(-1+\cdots)q^{5}+\cdots$$
414.2.e.c $10$ $3.306$ 10.0.$$\cdots$$.1 None $$-5$$ $$1$$ $$5$$ $$5$$ $$q+(-1-\beta _{4})q^{2}+(1+\beta _{5}-\beta _{6}-\beta _{9})q^{3}+\cdots$$
414.2.e.d $10$ $3.306$ 10.0.$$\cdots$$.1 None $$5$$ $$-3$$ $$-1$$ $$5$$ $$q+(1+\beta _{7})q^{2}+\beta _{1}q^{3}+\beta _{7}q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots$$
414.2.e.e $12$ $3.306$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$6$$ $$0$$ $$5$$ $$-3$$ $$q+\beta _{2}q^{2}-\beta _{1}q^{3}+(-1+\beta _{2})q^{4}+(1+\cdots)q^{5}+\cdots$$
414.2.f.a $48$ $3.306$ None $$0$$ $$4$$ $$0$$ $$0$$
414.2.i.a $10$ $3.306$ $$\Q(\zeta_{22})$$ None $$-1$$ $$0$$ $$-2$$ $$2$$ $$q+\zeta_{22}^{4}q^{2}+\zeta_{22}^{8}q^{4}+(-1-\zeta_{22}^{2}+\cdots)q^{5}+\cdots$$
414.2.i.b $10$ $3.306$ $$\Q(\zeta_{22})$$ None $$-1$$ $$0$$ $$0$$ $$-2$$ $$q+\zeta_{22}^{4}q^{2}+\zeta_{22}^{8}q^{4}+(1-2\zeta_{22}+\cdots)q^{5}+\cdots$$
414.2.i.c $10$ $3.306$ $$\Q(\zeta_{22})$$ None $$-1$$ $$0$$ $$4$$ $$-7$$ $$q+\zeta_{22}^{4}q^{2}+\zeta_{22}^{8}q^{4}+(\zeta_{22}+\zeta_{22}^{3}+\cdots)q^{5}+\cdots$$
414.2.i.d $10$ $3.306$ $$\Q(\zeta_{22})$$ None $$1$$ $$0$$ $$-8$$ $$8$$ $$q-\zeta_{22}^{4}q^{2}+\zeta_{22}^{8}q^{4}+(-1+\zeta_{22}^{2}+\cdots)q^{5}+\cdots$$
414.2.i.e $10$ $3.306$ $$\Q(\zeta_{22})$$ None $$1$$ $$0$$ $$2$$ $$0$$ $$q-\zeta_{22}^{4}q^{2}+\zeta_{22}^{8}q^{4}+(1-2\zeta_{22}+\cdots)q^{5}+\cdots$$
414.2.i.f $10$ $3.306$ $$\Q(\zeta_{22})$$ None $$1$$ $$0$$ $$6$$ $$3$$ $$q-\zeta_{22}^{4}q^{2}+\zeta_{22}^{8}q^{4}+(\zeta_{22}-2\zeta_{22}^{2}+\cdots)q^{5}+\cdots$$
414.2.i.g $20$ $3.306$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$-2$$ $$0$$ $$-2$$ $$-4$$ $$q+\beta _{3}q^{2}+\beta _{7}q^{4}+(\beta _{2}-\beta _{5}+\beta _{13}+\cdots)q^{5}+\cdots$$
414.2.i.h $20$ $3.306$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$2$$ $$0$$ $$2$$ $$-4$$ $$q-\beta _{3}q^{2}+\beta _{7}q^{4}+(-\beta _{2}+\beta _{5}-\beta _{13}+\cdots)q^{5}+\cdots$$
414.2.j.a $80$ $3.306$ None $$0$$ $$0$$ $$0$$ $$0$$
414.2.m.a $240$ $3.306$ None $$-12$$ $$0$$ $$0$$ $$-13$$
414.2.m.b $240$ $3.306$ None $$12$$ $$4$$ $$0$$ $$13$$
414.2.p.a $480$ $3.306$ None $$0$$ $$-4$$ $$0$$ $$0$$
414.3.b.a $4$ $11.281$ 4.0.613376.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+2q^{4}+\beta _{1}q^{5}+\beta _{3}q^{7}-2\beta _{2}q^{8}+\cdots$$
414.3.b.b $8$ $11.281$ 8.0.$$\cdots$$.26 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+2q^{4}+\beta _{6}q^{5}-\beta _{5}q^{7}+2\beta _{1}q^{8}+\cdots$$
414.3.b.c $8$ $11.281$ 8.0.1358954496.3 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{2}+2q^{4}+(\beta _{2}-2\beta _{3}+\beta _{6})q^{5}+\cdots$$
414.3.c.a $4$ $11.281$ $$\Q(\sqrt{-2}, \sqrt{-23})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}-2q^{4}-2\beta _{1}q^{5}-\beta _{2}q^{7}+\cdots$$
414.3.c.b $8$ $11.281$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$16$$ $$q+\beta _{1}q^{2}-2q^{4}-\beta _{7}q^{5}+(2-\beta _{2}-\beta _{6}+\cdots)q^{7}+\cdots$$
414.3.g.a $88$ $11.281$ None $$0$$ $$-4$$ $$0$$ $$-4$$
414.3.h.a $96$ $11.281$ None $$0$$ $$4$$ $$0$$ $$0$$
414.3.k.a $80$ $11.281$ None $$0$$ $$0$$ $$0$$ $$-16$$
414.3.k.b $80$ $11.281$ None $$0$$ $$0$$ $$0$$ $$16$$
414.3.l.a $40$ $11.281$ None $$0$$ $$0$$ $$0$$ $$0$$
414.3.l.b $80$ $11.281$ None $$0$$ $$0$$ $$0$$ $$0$$
414.3.l.c $80$ $11.281$ None $$0$$ $$0$$ $$0$$ $$0$$
414.3.n.a $960$ $11.281$ None $$0$$ $$-4$$ $$0$$ $$0$$
414.3.o.a $960$ $11.281$ None $$0$$ $$4$$ $$36$$ $$0$$
414.4.a.a $1$ $24.427$ $$\Q$$ None $$-2$$ $$0$$ $$2$$ $$-34$$ $+$ $$q-2q^{2}+4q^{4}+2q^{5}-34q^{7}-8q^{8}+\cdots$$
414.4.a.b $1$ $24.427$ $$\Q$$ None $$-2$$ $$0$$ $$20$$ $$2$$ $+$ $$q-2q^{2}+4q^{4}+20q^{5}+2q^{7}-8q^{8}+\cdots$$
414.4.a.c $1$ $24.427$ $$\Q$$ None $$2$$ $$0$$ $$-2$$ $$-32$$ $-$ $$q+2q^{2}+4q^{4}-2q^{5}-2^{5}q^{7}+8q^{8}+\cdots$$
414.4.a.d $1$ $24.427$ $$\Q$$ None $$2$$ $$0$$ $$10$$ $$-12$$ $+$ $$q+2q^{2}+4q^{4}+10q^{5}-12q^{7}+8q^{8}+\cdots$$
414.4.a.e $1$ $24.427$ $$\Q$$ None $$2$$ $$0$$ $$10$$ $$32$$ $+$ $$q+2q^{2}+4q^{4}+10q^{5}+2^{5}q^{7}+8q^{8}+\cdots$$
414.4.a.f $2$ $24.427$ $$\Q(\sqrt{73})$$ None $$-4$$ $$0$$ $$-10$$ $$12$$ $-$ $$q-2q^{2}+4q^{4}+(-4-2\beta )q^{5}+(4+4\beta )q^{7}+\cdots$$
414.4.a.g $2$ $24.427$ $$\Q(\sqrt{2})$$ None $$-4$$ $$0$$ $$-8$$ $$12$$ $-$ $$q-2q^{2}+4q^{4}+(-4+\beta )q^{5}+(6+\beta )q^{7}+\cdots$$
414.4.a.h $2$ $24.427$ $$\Q(\sqrt{7})$$ None $$-4$$ $$0$$ $$10$$ $$-10$$ $-$ $$q-2q^{2}+4q^{4}+(5+3\beta )q^{5}+(-5+5\beta )q^{7}+\cdots$$
414.4.a.i $2$ $24.427$ $$\Q(\sqrt{7})$$ None $$4$$ $$0$$ $$-10$$ $$-10$$ $-$ $$q+2q^{2}+4q^{4}+(-5+3\beta )q^{5}+(-5+\cdots)q^{7}+\cdots$$
414.4.a.j $2$ $24.427$ $$\Q(\sqrt{41})$$ None $$4$$ $$0$$ $$-10$$ $$6$$ $-$ $$q+2q^{2}+4q^{4}+(-4-2\beta )q^{5}+(2+2\beta )q^{7}+\cdots$$