## Results (1-50 of 120 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
575.1.c.a $2$ $0.287$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-23})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}+iq^{3}+q^{6}-iq^{8}+iq^{13}+\cdots$$
575.1.c.b $6$ $0.287$ 6.0.419904.1 $$\Q(\sqrt{-23})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+(-\beta _{1}-\beta _{5})q^{3}+(-1+\beta _{2}+\cdots)q^{4}+\cdots$$
575.1.d.a $1$ $0.287$ $$\Q$$ $$\Q(\sqrt{-23})$$ None $$1$$ $$1$$ $$0$$ $$0$$ $$q+q^{2}+q^{3}+q^{6}-q^{8}+q^{13}-q^{16}+\cdots$$
575.1.d.b $3$ $0.287$ $$\Q(\zeta_{18})^+$$ $$\Q(\sqrt{-23})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{2}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots$$
575.1.d.c $3$ $0.287$ $$\Q(\zeta_{18})^+$$ $$\Q(\sqrt{-23})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{2}q^{3}+(1+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots$$
575.2.a.a $1$ $4.591$ $$\Q$$ None None $$-2$$ $$-2$$ $$0$$ $$-1$$ $+$ $$q-2q^{2}-2q^{3}+2q^{4}+4q^{6}-q^{7}+\cdots$$
575.2.a.b $1$ $4.591$ $$\Q$$ None None $$-2$$ $$0$$ $$0$$ $$-1$$ $+$ $$q-2q^{2}+2q^{4}-q^{7}-3q^{9}+2q^{11}+\cdots$$
575.2.a.c $1$ $4.591$ $$\Q$$ None None $$-1$$ $$0$$ $$0$$ $$1$$ $+$ $$q-q^{2}-q^{4}+q^{7}+3q^{8}-3q^{9}-q^{11}+\cdots$$
575.2.a.d $1$ $4.591$ $$\Q$$ None None $$1$$ $$0$$ $$0$$ $$-1$$ $+$ $$q+q^{2}-q^{4}-q^{7}-3q^{8}-3q^{9}-q^{11}+\cdots$$
575.2.a.e $1$ $4.591$ $$\Q$$ None None $$2$$ $$2$$ $$0$$ $$1$$ $-$ $$q+2q^{2}+2q^{3}+2q^{4}+4q^{6}+q^{7}+\cdots$$
575.2.a.f $2$ $4.591$ $$\Q(\sqrt{5})$$ None None $$1$$ $$0$$ $$0$$ $$-2$$ $+$ $$q+\beta q^{2}+(1-2\beta )q^{3}+(-1+\beta )q^{4}+\cdots$$
575.2.a.g $2$ $4.591$ $$\Q(\sqrt{5})$$ None None $$3$$ $$2$$ $$0$$ $$2$$ $-$ $$q+(1+\beta )q^{2}+q^{3}+3\beta q^{4}+(1+\beta )q^{6}+\cdots$$
575.2.a.h $4$ $4.591$ 4.4.15317.1 None None $$-2$$ $$2$$ $$0$$ $$3$$ $-$ $$q-\beta _{1}q^{2}+(1+\beta _{2})q^{3}+(1+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
575.2.a.i $4$ $4.591$ 4.4.5744.1 None None $$0$$ $$-2$$ $$0$$ $$-6$$ $+$ $$q-\beta _{1}q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots$$
575.2.a.j $4$ $4.591$ 4.4.5744.1 None None $$0$$ $$2$$ $$0$$ $$6$$ $-$ $$q+\beta _{1}q^{2}+(1-\beta _{1}-\beta _{2})q^{3}+(\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
575.2.a.k $7$ $4.591$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$-1$$ $$0$$ $$0$$ $$3$$ $-$ $$q-\beta _{1}q^{2}+\beta _{5}q^{3}+(2+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{6}+\cdots$$
575.2.a.l $7$ $4.591$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None None $$1$$ $$0$$ $$0$$ $$-3$$ $-$ $$q+\beta _{1}q^{2}-\beta _{5}q^{3}+(2+\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{6}+\cdots$$
575.2.b.a $2$ $4.591$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{2}-2q^{4}+iq^{7}+3q^{9}+2q^{11}+\cdots$$
575.2.b.b $2$ $4.591$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}+q^{4}-iq^{7}+3iq^{8}+3q^{9}+\cdots$$
575.2.b.c $4$ $4.591$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{3})q^{2}+\beta _{3}q^{3}+3\beta _{2}q^{4}+(1+\cdots)q^{6}+\cdots$$
575.2.b.d $4$ $4.591$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(2\beta _{1}+\beta _{3})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
575.2.b.e $8$ $4.591$ 8.0.$$\cdots$$.11 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{7}q^{3}+(-1+\beta _{2}+\beta _{3}+\cdots)q^{4}+\cdots$$
575.2.b.f $14$ $4.591$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{10}q^{3}+(-2+\beta _{2})q^{4}+\cdots$$
575.2.e.a $4$ $4.591$ $$\Q(i, \sqrt{46})$$ $$\Q(\sqrt{-115})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2\beta _{2}q^{4}+\beta _{1}q^{7}-3\beta _{2}q^{9}-4q^{16}+\cdots$$
575.2.e.b $8$ $4.591$ 8.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+\beta _{1}q^{4}-\beta _{7}q^{7}+\beta _{5}q^{8}+\cdots$$
575.2.e.c $12$ $4.591$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ $$\Q(\sqrt{-23})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{10}q^{3}+(\beta _{6}-2\beta _{7}+\beta _{9}+\cdots)q^{4}+\cdots$$
575.2.e.d $20$ $4.591$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$4$$ $$8$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}-\beta _{2}q^{3}+\beta _{4}q^{4}+(-1+\beta _{3}+\cdots)q^{6}+\cdots$$
575.2.e.e $24$ $4.591$ $$\Q(\sqrt{-23})$$ None $$0$$ $$0$$ $$0$$ $$0$$
575.2.g.a $4$ $4.591$ $$\Q(\zeta_{10})$$ None None $$1$$ $$-5$$ $$-5$$ $$4$$ $$q+(-1+2\zeta_{10}-2\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
575.2.g.b $108$ $4.591$ None None $$-4$$ $$1$$ $$3$$ $$24$$
575.2.g.c $112$ $4.591$ None None $$1$$ $$4$$ $$-2$$ $$-36$$
575.2.i.a $216$ $4.591$ None None $$0$$ $$0$$ $$2$$ $$0$$
575.2.k.a $10$ $4.591$ $$\Q(\zeta_{22})$$ None None $$-5$$ $$-1$$ $$0$$ $$-5$$ $$q+(-\zeta_{22}-\zeta_{22}^{3}+\zeta_{22}^{4}-\zeta_{22}^{5}+\cdots)q^{2}+\cdots$$
575.2.k.b $10$ $4.591$ $$\Q(\zeta_{22})$$ None None $$7$$ $$7$$ $$0$$ $$5$$ $$q+(1-\zeta_{22}-\zeta_{22}^{7}+\zeta_{22}^{8})q^{2}+(1+\cdots)q^{3}+\cdots$$
575.2.k.c $20$ $4.591$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$4$$ $$-1$$ $$0$$ $$4$$ $$q+(1-\beta _{2}-\beta _{3}-\beta _{4}-\beta _{6}-\beta _{8}+\beta _{13}+\cdots)q^{2}+\cdots$$
575.2.k.d $50$ $4.591$ None None $$5$$ $$2$$ $$0$$ $$5$$
575.2.k.e $80$ $4.591$ None None $$-2$$ $$0$$ $$0$$ $$4$$
575.2.k.f $80$ $4.591$ None None $$2$$ $$0$$ $$0$$ $$-4$$
575.2.k.g $100$ $4.591$ None None $$0$$ $$0$$ $$0$$ $$0$$
575.2.m.a $464$ $4.591$ None None $$-16$$ $$-12$$ $$0$$ $$0$$
575.2.p.a $20$ $4.591$ $$\Q(\zeta_{44})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{44}^{3}+\zeta_{44}^{5}+\zeta_{44}^{9}+\zeta_{44}^{13}+\cdots)q^{2}+\cdots$$
575.2.p.b $20$ $4.591$ $$\Q(\zeta_{44})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{44}-\zeta_{44}^{5}+\zeta_{44}^{7}+\zeta_{44}^{11}+\cdots)q^{2}+\cdots$$
575.2.p.c $40$ $4.591$ None None $$0$$ $$0$$ $$0$$ $$0$$
575.2.p.d $100$ $4.591$ None None $$0$$ $$0$$ $$0$$ $$0$$
575.2.p.e $160$ $4.591$ None None $$0$$ $$0$$ $$0$$ $$0$$
575.2.r.a $160$ $4.591$ None None $$0$$ $$0$$ $$0$$ $$0$$
575.2.r.b $200$ $4.591$ None None $$18$$ $$14$$ $$0$$ $$22$$
575.2.r.c $320$ $4.591$ None None $$0$$ $$0$$ $$0$$ $$0$$
575.2.s.a $2320$ $4.591$ None None $$-27$$ $$-31$$ $$-30$$ $$-76$$
575.2.u.a $2320$ $4.591$ None None $$-45$$ $$-45$$ $$-46$$ $$0$$