Learn more

Results (1-50 of 129 matches)

Next   Download to
Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
169.2.a.a $2$ $1.349$ $$\Q(\sqrt{3})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $-$ $$q+\beta q^{2}+2q^{3}+q^{4}-\beta q^{5}+2\beta q^{6}+\cdots$$
169.2.a.b $3$ $1.349$ $$\Q(\zeta_{14})^+$$ None $$-2$$ $$-2$$ $$-4$$ $$-3$$ $+$ $$q+(-1-\beta _{2})q^{2}+(-\beta _{1}+\beta _{2})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots$$
169.2.a.c $3$ $1.349$ $$\Q(\zeta_{14})^+$$ None $$2$$ $$-2$$ $$4$$ $$3$$ $-$ $$q+(1-\beta _{1})q^{2}+(-1-\beta _{2})q^{3}+(1-2\beta _{1}+\cdots)q^{4}+\cdots$$
169.2.b.a $2$ $1.349$ $$\Q(\sqrt{-3})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{2}+2q^{3}-q^{4}+\zeta_{6}q^{5}-2\zeta_{6}q^{6}+\cdots$$
169.2.b.b $6$ $1.349$ 6.0.153664.1 None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(\beta _{3}+\beta _{5})q^{2}+(-1+\beta _{4})q^{3}+(1-2\beta _{2}+\cdots)q^{4}+\cdots$$
169.2.c.a $4$ $1.349$ $$\Q(\zeta_{12})$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q-\zeta_{12}^{2}q^{2}-2\zeta_{12}q^{3}+(-1+\zeta_{12}+\cdots)q^{4}+\cdots$$
169.2.c.b $6$ $1.349$ 6.0.64827.1 None $$-2$$ $$2$$ $$8$$ $$-3$$ $$q+(-1+\beta _{4}+\beta _{5})q^{2}+(1-\beta _{1}-\beta _{5})q^{3}+\cdots$$
169.2.c.c $6$ $1.349$ 6.0.64827.1 None $$2$$ $$2$$ $$-8$$ $$3$$ $$q+(\beta _{1}+\beta _{4})q^{2}+(1-\beta _{4}-\beta _{5})q^{3}+(2\beta _{1}+\cdots)q^{4}+\cdots$$
169.2.e.a $2$ $1.349$ $$\Q(\sqrt{-3})$$ None $$3$$ $$-2$$ $$0$$ $$0$$ $$q+(1+\zeta_{6})q^{2}+(-2+2\zeta_{6})q^{3}+\zeta_{6}q^{4}+\cdots$$
169.2.e.b $12$ $1.349$ 12.0.$$\cdots$$.1 None $$0$$ $$4$$ $$0$$ $$0$$ $$q+(-\beta _{1}+\beta _{8}+\beta _{10})q^{2}+(1-\beta _{3}+\beta _{4}+\cdots)q^{3}+\cdots$$
169.2.g.a $156$ $1.349$ None $$-10$$ $$-9$$ $$-7$$ $$-5$$
169.2.h.a $168$ $1.349$ None $$-13$$ $$-13$$ $$-13$$ $$-13$$
169.2.i.a $336$ $1.349$ None $$-26$$ $$-26$$ $$-26$$ $$-26$$
169.2.k.a $360$ $1.349$ None $$-23$$ $$-24$$ $$-26$$ $$-26$$
169.3.d.a $4$ $4.605$ $$\Q(\zeta_{12})$$ None $$-2$$ $$4$$ $$-14$$ $$4$$ $$q+\zeta_{12}^{3}q^{2}+(1-\zeta_{12}+\zeta_{12}^{2}-\zeta_{12}^{3})q^{3}+\cdots$$
169.3.d.b $4$ $4.605$ $$\Q(i, \sqrt{22})$$ None $$0$$ $$-12$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-3q^{3}+7\beta _{2}q^{4}-\beta _{1}q^{5}+\cdots$$
169.3.d.c $4$ $4.605$ $$\Q(\zeta_{12})$$ None $$2$$ $$4$$ $$14$$ $$-4$$ $$q+(1-\zeta_{12}+\zeta_{12}^{2})q^{2}+(1-\zeta_{12}+\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
169.3.d.d $4$ $4.605$ $$\Q(i, \sqrt{10})$$ None $$4$$ $$-4$$ $$-8$$ $$12$$ $$q+(1+\beta _{1}+\beta _{2})q^{2}+(-1+\beta _{1}-\beta _{3})q^{3}+\cdots$$
169.3.d.e $24$ $4.605$ None $$0$$ $$12$$ $$0$$ $$0$$
169.3.f.a $4$ $4.605$ $$\Q(\zeta_{12})$$ None $$-4$$ $$-2$$ $$14$$ $$20$$ $$q+(-1-\zeta_{12})q^{2}+(-\zeta_{12}-\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
169.3.f.b $4$ $4.605$ $$\Q(\zeta_{12})$$ None $$2$$ $$-2$$ $$14$$ $$-16$$ $$q+(1-\zeta_{12}^{2}+\zeta_{12}^{3})q^{2}+(\zeta_{12}-\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
169.3.f.c $4$ $4.605$ $$\Q(\zeta_{12})$$ None $$4$$ $$-2$$ $$-14$$ $$-20$$ $$q+(1+\zeta_{12})q^{2}+(-\zeta_{12}-\zeta_{12}^{2}-\zeta_{12}^{3})q^{3}+\cdots$$
169.3.f.d $8$ $4.605$ 8.0.3317760000.2 None $$-4$$ $$4$$ $$-16$$ $$-12$$ $$q+(-1-\beta _{2}-\beta _{3}+\beta _{4}+\beta _{7})q^{2}+(1+\cdots)q^{3}+\cdots$$
169.3.f.e $8$ $4.605$ 8.0.$$\cdots$$.9 None $$0$$ $$12$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+3\beta _{4}q^{3}+7\beta _{2}q^{4}+(\beta _{1}-\beta _{5}+\cdots)q^{5}+\cdots$$
169.3.f.f $8$ $4.605$ 8.0.3317760000.2 None $$4$$ $$4$$ $$16$$ $$12$$ $$q+(1+\beta _{2}-\beta _{3}-\beta _{4}+\beta _{7})q^{2}+(1+\beta _{3}+\cdots)q^{3}+\cdots$$
169.3.f.g $48$ $4.605$ None $$0$$ $$-12$$ $$0$$ $$0$$
169.3.j.a $720$ $4.605$ None $$-22$$ $$-22$$ $$-34$$ $$-14$$
169.3.l.a $1392$ $4.605$ None $$-50$$ $$-50$$ $$-38$$ $$-68$$
169.4.a.a $1$ $9.971$ $$\Q$$ None $$-4$$ $$2$$ $$-17$$ $$-20$$ $+$ $$q-4q^{2}+2q^{3}+8q^{4}-17q^{5}-8q^{6}+\cdots$$
169.4.a.b $1$ $9.971$ $$\Q$$ None $$-3$$ $$-1$$ $$9$$ $$-15$$ $-$ $$q-3q^{2}-q^{3}+q^{4}+9q^{5}+3q^{6}-15q^{7}+\cdots$$
169.4.a.c $1$ $9.971$ $$\Q$$ None $$3$$ $$-1$$ $$-9$$ $$15$$ $-$ $$q+3q^{2}-q^{3}+q^{4}-9q^{5}-3q^{6}+15q^{7}+\cdots$$
169.4.a.d $1$ $9.971$ $$\Q$$ None $$4$$ $$2$$ $$17$$ $$20$$ $+$ $$q+4q^{2}+2q^{3}+8q^{4}+17q^{5}+8q^{6}+\cdots$$
169.4.a.e $1$ $9.971$ $$\Q$$ None $$5$$ $$-7$$ $$7$$ $$13$$ $+$ $$q+5q^{2}-7q^{3}+17q^{4}+7q^{5}-35q^{6}+\cdots$$
169.4.a.f $2$ $9.971$ $$\Q(\sqrt{17})$$ None $$-5$$ $$5$$ $$-15$$ $$15$$ $+$ $$q+(-2-\beta )q^{2}+(1+3\beta )q^{3}+5\beta q^{4}+\cdots$$
169.4.a.g $2$ $9.971$ $$\Q(\sqrt{17})$$ None $$-1$$ $$5$$ $$3$$ $$9$$ $+$ $$q-\beta q^{2}+(4-3\beta )q^{3}+(-4+\beta )q^{4}+\cdots$$
169.4.a.h $2$ $9.971$ $$\Q(\sqrt{3})$$ None $$0$$ $$-14$$ $$0$$ $$0$$ $-$ $$q+2\beta q^{2}-7q^{3}+4q^{4}+8\beta q^{5}-14\beta q^{6}+\cdots$$
169.4.a.i $2$ $9.971$ $$\Q(\sqrt{3})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $-$ $$q+\beta q^{2}+2q^{3}-5q^{4}+\beta q^{5}+2\beta q^{6}+\cdots$$
169.4.a.j $2$ $9.971$ $$\Q(\sqrt{17})$$ None $$5$$ $$5$$ $$15$$ $$-15$$ $+$ $$q+(3-\beta )q^{2}+(4-3\beta )q^{3}+(5-5\beta )q^{4}+\cdots$$
169.4.a.k $9$ $9.971$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None $$-5$$ $$1$$ $$-30$$ $$-38$$ $-$ $$q+(-1+\beta _{1})q^{2}+\beta _{2}q^{3}+(5+\beta _{5}+\beta _{6}+\cdots)q^{4}+\cdots$$
169.4.a.l $9$ $9.971$ $$\mathbb{Q}[x]/(x^{9} - \cdots)$$ None $$5$$ $$1$$ $$30$$ $$38$$ $+$ $$q+(1-\beta _{1})q^{2}+\beta _{2}q^{3}+(5+\beta _{5}+\beta _{6}+\cdots)q^{4}+\cdots$$
169.4.b.a $2$ $9.971$ $$\Q(\sqrt{-1})$$ None $$0$$ $$-14$$ $$0$$ $$0$$ $$q+5iq^{2}-7q^{3}-17q^{4}+7iq^{5}-35iq^{6}+\cdots$$
169.4.b.b $2$ $9.971$ $$\Q(\sqrt{-3})$$ None $$0$$ $$-14$$ $$0$$ $$0$$ $$q-2\zeta_{6}q^{2}-7q^{3}-4q^{4}-8\zeta_{6}q^{5}+\cdots$$
169.4.b.c $2$ $9.971$ $$\Q(\sqrt{-1})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q+4iq^{2}+2q^{3}-8q^{4}+17iq^{5}+8iq^{6}+\cdots$$
169.4.b.d $2$ $9.971$ $$\Q(\sqrt{-3})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{2}+2q^{3}+5q^{4}-\zeta_{6}q^{5}-2\zeta_{6}q^{6}+\cdots$$
169.4.b.e $4$ $9.971$ $$\Q(i, \sqrt{17})$$ None $$0$$ $$10$$ $$0$$ $$0$$ $$q+(\beta _{1}+3\beta _{2})q^{2}+(1+3\beta _{3})q^{3}-5\beta _{3}q^{4}+\cdots$$
169.4.b.f $4$ $9.971$ $$\Q(i, \sqrt{17})$$ None $$0$$ $$10$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(1+3\beta _{3})q^{3}+(3+\beta _{3})q^{4}+\cdots$$
169.4.b.g $18$ $9.971$ $$\mathbb{Q}[x]/(x^{18} + \cdots)$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+\beta _{9}q^{2}-\beta _{2}q^{3}+(-4+\beta _{1})q^{4}+(-\beta _{9}+\cdots)q^{5}+\cdots$$
169.4.c.a $2$ $9.971$ $$\Q(\sqrt{-3})$$ None $$-5$$ $$7$$ $$14$$ $$-13$$ $$q+(-5+5\zeta_{6})q^{2}+(7-7\zeta_{6})q^{3}-17\zeta_{6}q^{4}+\cdots$$
169.4.c.b $2$ $9.971$ $$\Q(\sqrt{-3})$$ None $$-3$$ $$1$$ $$-18$$ $$-15$$ $$q+(-3+3\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
169.4.c.c $2$ $9.971$ $$\Q(\sqrt{-3})$$ None $$3$$ $$1$$ $$18$$ $$15$$ $$q+(3-3\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
Next   Download to