## Results (1-50 of 69 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
232.2.a.a $1$ $1.853$ $$\Q$$ None $$0$$ $$-1$$ $$-3$$ $$2$$ $+$ $$q-q^{3}-3q^{5}+2q^{7}-2q^{9}-3q^{11}+\cdots$$
232.2.a.b $1$ $1.853$ $$\Q$$ None $$0$$ $$1$$ $$1$$ $$2$$ $-$ $$q+q^{3}+q^{5}+2q^{7}-2q^{9}+3q^{11}+\cdots$$
232.2.a.c $2$ $1.853$ $$\Q(\sqrt{2})$$ None $$0$$ $$-2$$ $$-2$$ $$-8$$ $+$ $$q+(-1+\beta )q^{3}+(-1-2\beta )q^{5}-4q^{7}+\cdots$$
232.2.a.d $3$ $1.853$ 3.3.568.1 None $$0$$ $$2$$ $$4$$ $$0$$ $-$ $$q+(1-\beta _{1})q^{3}+(1-\beta _{2})q^{5}+(2+\beta _{2})q^{9}+\cdots$$
232.2.c.a $28$ $1.853$ None $$0$$ $$0$$ $$0$$ $$0$$
232.2.e.a $8$ $1.853$ 8.0.4589249536.2 None $$0$$ $$0$$ $$2$$ $$4$$ $$q-\beta _{2}q^{3}+\beta _{4}q^{5}+(1-\beta _{6})q^{7}+(-1+\cdots)q^{9}+\cdots$$
232.2.g.a $4$ $1.853$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$16$$ $$q+\beta _{1}q^{2}-\beta _{2}q^{3}+(-1+\beta _{3})q^{4}+(1+\cdots)q^{6}+\cdots$$
232.2.g.b $24$ $1.853$ None $$0$$ $$0$$ $$0$$ $$-24$$
232.2.k.a $56$ $1.853$ None $$0$$ $$-4$$ $$0$$ $$0$$
232.2.m.a $6$ $1.853$ $$\Q(\zeta_{14})$$ None $$0$$ $$-3$$ $$2$$ $$-3$$ $$q+(-1+\zeta_{14}-\zeta_{14}^{4}+\zeta_{14}^{5})q^{3}+\cdots$$
232.2.m.b $6$ $1.853$ $$\Q(\zeta_{14})$$ None $$0$$ $$-1$$ $$-1$$ $$5$$ $$q+(-1-2\zeta_{14}^{2}+2\zeta_{14}^{3}+\zeta_{14}^{5})q^{3}+\cdots$$
232.2.m.c $6$ $1.853$ $$\Q(\zeta_{14})$$ None $$0$$ $$5$$ $$7$$ $$-3$$ $$q+(1-\zeta_{14}^{5})q^{3}+(1-\zeta_{14}-2\zeta_{14}^{4}+\cdots)q^{5}+\cdots$$
232.2.m.d $24$ $1.853$ None $$0$$ $$-1$$ $$-8$$ $$5$$
232.2.o.a $168$ $1.853$ None $$-7$$ $$0$$ $$0$$ $$-6$$
232.2.q.a $48$ $1.853$ None $$0$$ $$0$$ $$-2$$ $$-4$$
232.2.s.a $168$ $1.853$ None $$-7$$ $$0$$ $$0$$ $$-14$$
232.2.v.a $336$ $1.853$ None $$-14$$ $$-24$$ $$0$$ $$0$$
232.3.b.a $1$ $6.322$ $$\Q$$ $$\Q(\sqrt{-58})$$ $$-2$$ $$0$$ $$0$$ $$0$$ $$q-2q^{2}+4q^{4}-8q^{8}+9q^{9}+2^{4}q^{16}+\cdots$$
232.3.b.b $1$ $6.322$ $$\Q$$ $$\Q(\sqrt{-58})$$ $$2$$ $$0$$ $$0$$ $$0$$ $$q+2q^{2}+4q^{4}+8q^{8}+9q^{9}+2^{4}q^{16}+\cdots$$
232.3.b.c $56$ $6.322$ None $$0$$ $$0$$ $$0$$ $$0$$
232.3.f.a $56$ $6.322$ None $$0$$ $$0$$ $$0$$ $$0$$
232.3.j.a $14$ $6.322$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None $$0$$ $$4$$ $$0$$ $$8$$ $$q-\beta _{5}q^{3}+(-\beta _{4}+\beta _{7})q^{5}+(1+\beta _{6}+\cdots)q^{7}+\cdots$$
232.3.j.b $16$ $6.322$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$-4$$ $$0$$ $$-8$$ $$q-\beta _{1}q^{3}+(\beta _{5}+\beta _{6})q^{5}+(-1+\beta _{11}+\cdots)q^{7}+\cdots$$
232.3.l.a $116$ $6.322$ None $$-4$$ $$0$$ $$0$$ $$-8$$
232.3.p.a $348$ $6.322$ None $$-3$$ $$-10$$ $$0$$ $$0$$
232.3.t.a $348$ $6.322$ None $$-7$$ $$-14$$ $$0$$ $$0$$
232.3.u.a $696$ $6.322$ None $$-10$$ $$0$$ $$0$$ $$-20$$
232.3.w.a $84$ $6.322$ None $$0$$ $$-4$$ $$-28$$ $$34$$
232.3.w.b $96$ $6.322$ None $$0$$ $$4$$ $$28$$ $$-34$$
232.4.a.a $3$ $13.688$ 3.3.4481.1 None $$0$$ $$3$$ $$11$$ $$-38$$ $+$ $$q+(1-\beta _{1})q^{3}+(4+\beta _{1}+\beta _{2})q^{5}+(-13+\cdots)q^{7}+\cdots$$
232.4.a.b $3$ $13.688$ 3.3.229.1 None $$0$$ $$6$$ $$4$$ $$16$$ $+$ $$q+(1-3\beta _{2})q^{3}+(1+3\beta _{1}-4\beta _{2})q^{5}+\cdots$$
232.4.a.c $4$ $13.688$ 4.4.225792.1 None $$0$$ $$0$$ $$-20$$ $$-8$$ $-$ $$q+(\beta _{1}-\beta _{3})q^{3}+(-5+\beta _{2})q^{5}+(-2+\cdots)q^{7}+\cdots$$
232.4.a.d $5$ $13.688$ $$\mathbb{Q}[x]/(x^{5} - \cdots)$$ None $$0$$ $$4$$ $$10$$ $$32$$ $+$ $$q+(1-\beta _{1})q^{3}+(2+\beta _{3})q^{5}+(6+\beta _{2}+\cdots)q^{7}+\cdots$$
232.4.a.e $6$ $13.688$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None $$0$$ $$-5$$ $$-5$$ $$-38$$ $-$ $$q+(-1+\beta _{3})q^{3}+(-1-\beta _{3}-\beta _{4})q^{5}+\cdots$$
232.4.c.a $84$ $13.688$ None $$0$$ $$0$$ $$0$$ $$0$$
232.4.e.a $22$ $13.688$ None $$0$$ $$0$$ $$18$$ $$-12$$
232.4.g.a $88$ $13.688$ None $$0$$ $$0$$ $$0$$ $$24$$
232.4.k.a $176$ $13.688$ None $$-4$$ $$-4$$ $$0$$ $$0$$
232.4.m.a $66$ $13.688$ None $$0$$ $$1$$ $$16$$ $$-71$$
232.4.m.b $72$ $13.688$ None $$0$$ $$-1$$ $$-12$$ $$59$$
232.4.o.a $528$ $13.688$ None $$-7$$ $$0$$ $$0$$ $$-38$$
232.4.q.a $132$ $13.688$ None $$0$$ $$0$$ $$-18$$ $$12$$
232.4.s.a $528$ $13.688$ None $$-3$$ $$0$$ $$0$$ $$18$$
232.4.v.a $1056$ $13.688$ None $$-10$$ $$-24$$ $$0$$ $$0$$
232.5.j.a $30$ $23.982$ None $$0$$ $$-16$$ $$0$$ $$96$$
232.5.j.b $30$ $23.982$ None $$0$$ $$16$$ $$0$$ $$-96$$
232.6.a.a $1$ $37.209$ $$\Q$$ None $$0$$ $$16$$ $$54$$ $$112$$ $-$ $$q+2^{4}q^{3}+54q^{5}+112q^{7}+13q^{9}+\cdots$$
232.6.a.b $8$ $37.209$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$0$$ $$-23$$ $$-75$$ $$74$$ $+$ $$q+(-3+\beta _{1})q^{3}+(-10+\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$$
232.6.a.c $8$ $37.209$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None $$0$$ $$3$$ $$25$$ $$282$$ $-$ $$q+\beta _{3}q^{3}+(3-\beta _{2})q^{5}+(35+\beta _{3}+\beta _{4}+\cdots)q^{7}+\cdots$$
232.6.a.d $9$ $37.209$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None $$0$$ $$-24$$ $$-50$$ $$-208$$ $+$ $$q+(-3+\beta _{1})q^{3}+(-6-\beta _{4})q^{5}+(-23+\cdots)q^{7}+\cdots$$