## Results (1-50 of 84 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
322.2.a.a $1$ $2.571$ $$\Q$$ None $$-1$$ $$0$$ $$-2$$ $$1$$ $+$ $$q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}-3q^{9}+\cdots$$
322.2.a.b $1$ $2.571$ $$\Q$$ None $$-1$$ $$2$$ $$0$$ $$1$$ $-$ $$q-q^{2}+2q^{3}+q^{4}-2q^{6}+q^{7}-q^{8}+\cdots$$
322.2.a.c $1$ $2.571$ $$\Q$$ None $$1$$ $$-2$$ $$-2$$ $$-1$$ $+$ $$q+q^{2}-2q^{3}+q^{4}-2q^{5}-2q^{6}-q^{7}+\cdots$$
322.2.a.d $1$ $2.571$ $$\Q$$ None $$1$$ $$2$$ $$-2$$ $$1$$ $-$ $$q+q^{2}+2q^{3}+q^{4}-2q^{5}+2q^{6}+q^{7}+\cdots$$
322.2.a.e $2$ $2.571$ $$\Q(\sqrt{5})$$ None $$-2$$ $$-2$$ $$-2$$ $$-2$$ $+$ $$q-q^{2}+(-1-\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots$$
322.2.a.f $2$ $2.571$ $$\Q(\sqrt{3})$$ None $$2$$ $$-2$$ $$2$$ $$2$$ $-$ $$q+q^{2}+(-1+\beta )q^{3}+q^{4}+(1+\beta )q^{5}+\cdots$$
322.2.a.g $3$ $2.571$ 3.3.316.1 None $$3$$ $$2$$ $$4$$ $$-3$$ $-$ $$q+q^{2}+(1+\beta _{2})q^{3}+q^{4}+(1-\beta _{2})q^{5}+\cdots$$
322.2.c.a $4$ $2.571$ $$\Q(\sqrt{-2}, \sqrt{7})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}-\beta _{3}q^{7}+\cdots$$
322.2.c.b $4$ $2.571$ $$\Q(\sqrt{-2}, \sqrt{-7})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+\beta _{2}q^{3}+q^{4}+\beta _{1}q^{5}-\beta _{2}q^{6}+\cdots$$
322.2.c.c $4$ $2.571$ 4.0.2312.1 None $$4$$ $$0$$ $$-8$$ $$-2$$ $$q+q^{2}-\beta _{2}q^{3}+q^{4}-2q^{5}-\beta _{2}q^{6}+\cdots$$
322.2.c.d $4$ $2.571$ 4.0.2312.1 None $$4$$ $$0$$ $$8$$ $$2$$ $$q+q^{2}-\beta _{2}q^{3}+q^{4}+2q^{5}-\beta _{2}q^{6}+\cdots$$
322.2.e.a $8$ $2.571$ 8.0.310217769.2 None $$-4$$ $$-3$$ $$-7$$ $$-1$$ $$q+(-1+\beta _{5})q^{2}+(\beta _{1}+\beta _{2}-\beta _{5})q^{3}+\cdots$$
322.2.e.b $8$ $2.571$ 8.0.1767277521.3 None $$-4$$ $$5$$ $$5$$ $$1$$ $$q-\beta _{5}q^{2}+(1+\beta _{2}-\beta _{5}+\beta _{6})q^{3}+(-1+\cdots)q^{4}+\cdots$$
322.2.e.c $8$ $2.571$ 8.0.1767277521.3 None $$4$$ $$-1$$ $$-3$$ $$-1$$ $$q+(1-\beta _{6})q^{2}+(\beta _{4}+\beta _{5}-\beta _{6}-\beta _{7})q^{3}+\cdots$$
322.2.e.d $8$ $2.571$ 8.0.6498455769.2 None $$4$$ $$-1$$ $$5$$ $$-3$$ $$q+(1-\beta _{5})q^{2}-\beta _{1}q^{3}-\beta _{5}q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots$$
322.2.g.a $16$ $2.571$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$-8$$ $$6$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}-\beta _{1}q^{3}+(-1+\beta _{5})q^{4}+\beta _{6}q^{5}+\cdots$$
322.2.g.b $16$ $2.571$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$8$$ $$-6$$ $$0$$ $$0$$ $$q-\beta _{6}q^{2}+\beta _{11}q^{3}+(-1-\beta _{6})q^{4}+\cdots$$
322.2.i.a $10$ $2.571$ $$\Q(\zeta_{22})$$ None $$1$$ $$-3$$ $$5$$ $$1$$ $$q-\zeta_{22}^{4}q^{2}+(-1-\zeta_{22}^{2}+\zeta_{22}^{3}+\cdots)q^{3}+\cdots$$
322.2.i.b $10$ $2.571$ $$\Q(\zeta_{22})$$ None $$1$$ $$5$$ $$8$$ $$1$$ $$q-\zeta_{22}^{4}q^{2}+(1+\zeta_{22}^{2}-\zeta_{22}^{3}+\zeta_{22}^{6}+\cdots)q^{3}+\cdots$$
322.2.i.c $20$ $2.571$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$-2$$ $$4$$ $$-5$$ $$-2$$ $$q+\beta _{19}q^{2}+(\beta _{1}+\beta _{2}+\beta _{4}+\beta _{5}-\beta _{6}+\cdots)q^{3}+\cdots$$
322.2.i.d $40$ $2.571$ None $$-4$$ $$0$$ $$9$$ $$4$$
322.2.i.e $40$ $2.571$ None $$4$$ $$2$$ $$-9$$ $$-4$$
322.2.k.a $80$ $2.571$ None $$-8$$ $$0$$ $$0$$ $$-11$$
322.2.k.b $80$ $2.571$ None $$8$$ $$0$$ $$0$$ $$11$$
322.2.m.a $160$ $2.571$ None $$-8$$ $$2$$ $$-2$$ $$15$$
322.2.m.b $160$ $2.571$ None $$8$$ $$-2$$ $$2$$ $$-11$$
322.2.o.a $160$ $2.571$ None $$-8$$ $$6$$ $$0$$ $$-11$$
322.2.o.b $160$ $2.571$ None $$8$$ $$-6$$ $$0$$ $$11$$
322.3.b.a $32$ $8.774$ None $$0$$ $$0$$ $$0$$ $$-12$$
322.3.d.a $24$ $8.774$ None $$0$$ $$8$$ $$0$$ $$0$$
322.3.f.a $64$ $8.774$ None $$0$$ $$0$$ $$0$$ $$0$$
322.3.h.a $56$ $8.774$ None $$0$$ $$12$$ $$0$$ $$-4$$
322.3.j.a $240$ $8.774$ None $$0$$ $$-8$$ $$0$$ $$0$$
322.3.l.a $320$ $8.774$ None $$0$$ $$0$$ $$0$$ $$12$$
322.3.n.a $640$ $8.774$ None $$0$$ $$0$$ $$12$$ $$-12$$
322.3.p.a $640$ $8.774$ None $$0$$ $$0$$ $$0$$ $$0$$
322.4.a.a $2$ $18.999$ $$\Q(\sqrt{2})$$ None $$-4$$ $$-4$$ $$16$$ $$14$$ $+$ $$q-2q^{2}+(-2+3\beta )q^{3}+4q^{4}+(8-3\beta )q^{5}+\cdots$$
322.4.a.b $2$ $18.999$ $$\Q(\sqrt{73})$$ None $$-4$$ $$9$$ $$-8$$ $$14$$ $+$ $$q-2q^{2}+(5-\beta )q^{3}+4q^{4}+(-2-4\beta )q^{5}+\cdots$$
322.4.a.c $2$ $18.999$ $$\Q(\sqrt{57})$$ None $$4$$ $$1$$ $$-18$$ $$14$$ $-$ $$q+2q^{2}+\beta q^{3}+4q^{4}+(-8-2\beta )q^{5}+\cdots$$
322.4.a.d $3$ $18.999$ 3.3.15384.1 None $$-6$$ $$-3$$ $$8$$ $$-21$$ $+$ $$q-2q^{2}+(-1+\beta _{1})q^{3}+4q^{4}+(3+2\beta _{1}+\cdots)q^{5}+\cdots$$
322.4.a.e $3$ $18.999$ 3.3.3368.1 None $$6$$ $$-7$$ $$-8$$ $$-21$$ $-$ $$q+2q^{2}+(-2-\beta _{2})q^{3}+4q^{4}+(-3+\cdots)q^{5}+\cdots$$
322.4.a.f $4$ $18.999$ $$\mathbb{Q}[x]/(x^{4} - \cdots)$$ None $$-8$$ $$-1$$ $$-2$$ $$28$$ $-$ $$q-2q^{2}-\beta _{1}q^{3}+4q^{4}-\beta _{2}q^{5}+2\beta _{1}q^{6}+\cdots$$
322.4.a.g $5$ $18.999$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None $$-10$$ $$-9$$ $$-2$$ $$-35$$ $-$ $$q-2q^{2}+(-2+\beta _{4})q^{3}+4q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots$$
322.4.a.h $5$ $18.999$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None $$10$$ $$5$$ $$22$$ $$-35$$ $+$ $$q+2q^{2}+(1-\beta _{1})q^{3}+4q^{4}+(4-\beta _{1}+\cdots)q^{5}+\cdots$$
322.4.a.i $6$ $18.999$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None $$12$$ $$13$$ $$12$$ $$42$$ $+$ $$q+2q^{2}+(2+\beta _{1})q^{3}+4q^{4}+(2-\beta _{1}+\cdots)q^{5}+\cdots$$
322.4.c.a $24$ $18.999$ None $$-48$$ $$0$$ $$0$$ $$0$$
322.4.c.b $24$ $18.999$ None $$48$$ $$0$$ $$0$$ $$0$$
322.4.e.a $22$ $18.999$ None $$-22$$ $$-18$$ $$-33$$ $$33$$
322.4.e.b $22$ $18.999$ None $$-22$$ $$6$$ $$27$$ $$1$$
322.4.e.c $22$ $18.999$ None $$22$$ $$0$$ $$-17$$ $$11$$