## Results (1-50 of 134 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
165.1.l.a $2$ $0.082$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-q^{3}+iq^{4}+iq^{5}+q^{9}-iq^{11}+\cdots$$
165.1.l.b $2$ $0.082$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}+iq^{4}-iq^{5}-q^{9}+iq^{11}+\cdots$$
165.2.a.a $2$ $1.318$ $$\Q(\sqrt{2})$$ None None $$-2$$ $$-2$$ $$-2$$ $$-4$$ $+$ $$q+(-1+\beta )q^{2}-q^{3}+(1-2\beta )q^{4}-q^{5}+\cdots$$
165.2.a.b $2$ $1.318$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$-2$$ $$4$$ $-$ $$q+\beta q^{2}+q^{3}+q^{4}-q^{5}+\beta q^{6}+2q^{7}+\cdots$$
165.2.a.c $3$ $1.318$ 3.3.148.1 None None $$-1$$ $$3$$ $$3$$ $$0$$ $-$ $$q-\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots$$
165.2.c.a $6$ $1.318$ 6.0.350464.1 None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(\beta _{3}-\beta _{5})q^{2}+\beta _{3}q^{3}+(-2-\beta _{1}+\cdots)q^{4}+\cdots$$
165.2.c.b $6$ $1.318$ 6.0.350464.1 None None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\beta _{4}q^{2}+\beta _{3}q^{3}+(-\beta _{1}+\beta _{2})q^{4}+\cdots$$
165.2.d.a $2$ $1.318$ $$\Q(\sqrt{-11})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-1$$ $$3$$ $$0$$ $$q-\beta q^{3}+2q^{4}+(1+\beta )q^{5}+(-3+\beta )q^{9}+\cdots$$
165.2.d.b $2$ $1.318$ $$\Q(\sqrt{-11})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$1$$ $$-3$$ $$0$$ $$q+\beta q^{3}+2q^{4}+(-2+\beta )q^{5}+(-3+\cdots)q^{9}+\cdots$$
165.2.d.c $16$ $1.318$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}+\beta _{4}q^{3}+(-2-\beta _{7})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots$$
165.2.f.a $8$ $1.318$ 8.0.619810816.2 None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(-\beta _{3}-\beta _{4})q^{2}+(\beta _{3}+\beta _{5})q^{3}+(1+\cdots)q^{4}+\cdots$$
165.2.f.b $8$ $1.318$ 8.0.619810816.2 None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(\beta _{3}+\beta _{4})q^{2}+\beta _{4}q^{3}+(1-\beta _{4}+\beta _{5}+\cdots)q^{4}+\cdots$$
165.2.j.a $24$ $1.318$ None None $$0$$ $$0$$ $$8$$ $$0$$
165.2.k.a $4$ $1.318$ $$\Q(\zeta_{8})$$ None None $$-4$$ $$-4$$ $$-8$$ $$-8$$ $$q+(-1+\zeta_{8}^{2}-\zeta_{8}^{3})q^{2}+(-1-\zeta_{8}+\cdots)q^{3}+\cdots$$
165.2.k.b $4$ $1.318$ $$\Q(\zeta_{8})$$ None None $$4$$ $$0$$ $$8$$ $$-8$$ $$q+(1-\zeta_{8}^{2}-\zeta_{8}^{3})q^{2}+(-\zeta_{8}+\zeta_{8}^{2}+\cdots)q^{3}+\cdots$$
165.2.k.c $16$ $1.318$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$-4$$ $$-2$$ $$-8$$ $$8$$ $$q+\beta _{3}q^{2}-\beta _{15}q^{3}+(-\beta _{1}-\beta _{3}-\beta _{13}+\cdots)q^{4}+\cdots$$
165.2.k.d $16$ $1.318$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$4$$ $$4$$ $$8$$ $$8$$ $$q+\beta _{1}q^{2}+\beta _{11}q^{3}+(\beta _{1}+\beta _{3}+\beta _{13}+\cdots)q^{4}+\cdots$$
165.2.m.a $8$ $1.318$ 8.0.13140625.1 None None $$0$$ $$-2$$ $$2$$ $$1$$ $$q+(1-\beta _{3}+\beta _{4}-\beta _{5}-\beta _{6})q^{2}+(-1+\cdots)q^{3}+\cdots$$
165.2.m.b $8$ $1.318$ 8.0.819390625.1 None None $$2$$ $$2$$ $$2$$ $$9$$ $$q+\beta _{4}q^{2}+\beta _{6}q^{3}+(1-\beta _{1}+2\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots$$
165.2.m.c $8$ $1.318$ $$\Q(\zeta_{15})$$ None None $$2$$ $$2$$ $$-2$$ $$-5$$ $$q+(-1+2\zeta_{15}-\zeta_{15}^{3}+\zeta_{15}^{4}-\zeta_{15}^{5}+\cdots)q^{2}+\cdots$$
165.2.m.d $8$ $1.318$ 8.0.13140625.1 None None $$4$$ $$-2$$ $$-2$$ $$3$$ $$q+(1+\beta _{1}+\beta _{2}-\beta _{3}+\beta _{4}-\beta _{5}-\beta _{6}+\cdots)q^{2}+\cdots$$
165.2.p.a $16$ $1.318$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$8$$ $$0$$ $$-10$$ $$q+(\beta _{3}-\beta _{5})q^{2}+(\beta _{2}-\beta _{5}+\beta _{6}-\beta _{8}+\cdots)q^{3}+\cdots$$
165.2.p.b $48$ $1.318$ None None $$0$$ $$-4$$ $$0$$ $$10$$
165.2.r.a $80$ $1.318$ None None $$0$$ $$0$$ $$0$$ $$0$$
165.2.s.a $48$ $1.318$ None None $$0$$ $$0$$ $$-4$$ $$0$$
165.2.v.a $160$ $1.318$ None None $$0$$ $$-8$$ $$0$$ $$-20$$
165.2.w.a $96$ $1.318$ None None $$0$$ $$0$$ $$-8$$ $$-20$$
165.3.b.a $16$ $4.496$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{3}q^{3}+(-1+\beta _{2})q^{4}-\beta _{4}q^{5}+\cdots$$
165.3.e.a $28$ $4.496$ None None $$0$$ $$0$$ $$0$$ $$24$$
165.3.g.a $2$ $4.496$ $$\Q(\sqrt{-11})$$ None None $$-2$$ $$-5$$ $$-10$$ $$0$$ $$q-q^{2}+(-2-\beta )q^{3}-3q^{4}-5q^{5}+\cdots$$
165.3.g.b $2$ $4.496$ $$\Q(\sqrt{-11})$$ None None $$2$$ $$5$$ $$10$$ $$0$$ $$q+q^{2}+(3-\beta )q^{3}-3q^{4}+5q^{5}+(3+\cdots)q^{6}+\cdots$$
165.3.g.c $36$ $4.496$ None None $$0$$ $$0$$ $$0$$ $$0$$
165.3.h.a $24$ $4.496$ None None $$0$$ $$0$$ $$4$$ $$0$$
165.3.i.a $40$ $4.496$ None None $$8$$ $$0$$ $$16$$ $$0$$
165.3.l.a $4$ $4.496$ $$\Q(i, \sqrt{10})$$ None None $$0$$ $$-12$$ $$-16$$ $$0$$ $$q+\beta _{1}q^{2}-3q^{3}+\beta _{2}q^{4}+(-4-3\beta _{2}+\cdots)q^{5}+\cdots$$
165.3.l.b $4$ $4.496$ $$\Q(i, \sqrt{6})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-3\beta _{2}q^{3}-\beta _{2}q^{4}+5\beta _{2}q^{5}+\cdots$$
165.3.l.c $4$ $4.496$ $$\Q(i, \sqrt{11})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}-3\beta _{2})q^{3}-4\beta _{2}q^{4}+(3\beta _{1}-2\beta _{2}+\cdots)q^{5}+\cdots$$
165.3.l.d $4$ $4.496$ $$\Q(i, \sqrt{10})$$ None None $$0$$ $$0$$ $$16$$ $$0$$ $$q+\beta _{1}q^{2}+3\beta _{2}q^{3}+\beta _{2}q^{4}+(4+3\beta _{2}+\cdots)q^{5}+\cdots$$
165.3.l.e $4$ $4.496$ $$\Q(i, \sqrt{11})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$10$$ $$0$$ $$0$$ $$q+(3+\beta _{3})q^{3}+4\beta _{2}q^{4}+(-3\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$$
165.3.l.f $4$ $4.496$ $$\Q(i, \sqrt{6})$$ None None $$0$$ $$12$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+3q^{3}-\beta _{2}q^{4}-5\beta _{2}q^{5}+\cdots$$
165.3.l.g $64$ $4.496$ None None $$0$$ $$-16$$ $$0$$ $$0$$
165.3.n.a $96$ $4.496$ None None $$0$$ $$0$$ $$-4$$ $$0$$
165.3.o.a $176$ $4.496$ None None $$0$$ $$0$$ $$0$$ $$0$$
165.3.q.a $128$ $4.496$ None None $$0$$ $$8$$ $$0$$ $$0$$
165.3.t.a $32$ $4.496$ None None $$0$$ $$0$$ $$40$$ $$20$$
165.3.t.b $32$ $4.496$ None None $$0$$ $$0$$ $$-40$$ $$-20$$
165.3.u.a $352$ $4.496$ None None $$0$$ $$-4$$ $$0$$ $$-20$$
165.3.x.a $192$ $4.496$ None None $$0$$ $$0$$ $$-8$$ $$52$$
165.4.a.a $1$ $9.735$ $$\Q$$ None None $$0$$ $$-3$$ $$-5$$ $$2$$ $+$ $$q-3q^{3}-8q^{4}-5q^{5}+2q^{7}+9q^{9}+\cdots$$
165.4.a.b $1$ $9.735$ $$\Q$$ None None $$1$$ $$3$$ $$-5$$ $$36$$ $+$ $$q+q^{2}+3q^{3}-7q^{4}-5q^{5}+3q^{6}+\cdots$$