## Results (1-50 of 170 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
666.2.a.a $1$ $5.318$ $$\Q$$ None $$-1$$ $$0$$ $$0$$ $$-1$$ $+$ $$q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{11}-q^{13}+\cdots$$
666.2.a.b $1$ $5.318$ $$\Q$$ None $$-1$$ $$0$$ $$0$$ $$3$$ $-$ $$q-q^{2}+q^{4}+3q^{7}-q^{8}-q^{11}+q^{13}+\cdots$$
666.2.a.c $1$ $5.318$ $$\Q$$ None $$-1$$ $$0$$ $$2$$ $$-3$$ $-$ $$q-q^{2}+q^{4}+2q^{5}-3q^{7}-q^{8}-2q^{10}+\cdots$$
666.2.a.d $1$ $5.318$ $$\Q$$ None $$1$$ $$0$$ $$-4$$ $$-1$$ $+$ $$q+q^{2}+q^{4}-4q^{5}-q^{7}+q^{8}-4q^{10}+\cdots$$
666.2.a.e $1$ $5.318$ $$\Q$$ None $$1$$ $$0$$ $$-2$$ $$-3$$ $+$ $$q+q^{2}+q^{4}-2q^{5}-3q^{7}+q^{8}-2q^{10}+\cdots$$
666.2.a.f $1$ $5.318$ $$\Q$$ None $$1$$ $$0$$ $$-2$$ $$0$$ $-$ $$q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}+4q^{11}+\cdots$$
666.2.a.g $1$ $5.318$ $$\Q$$ None $$1$$ $$0$$ $$4$$ $$3$$ $-$ $$q+q^{2}+q^{4}+4q^{5}+3q^{7}+q^{8}+4q^{10}+\cdots$$
666.2.a.h $2$ $5.318$ $$\Q(\sqrt{17})$$ None $$-2$$ $$0$$ $$-4$$ $$1$$ $+$ $$q-q^{2}+q^{4}-2q^{5}+(1-\beta )q^{7}-q^{8}+\cdots$$
666.2.a.i $2$ $5.318$ $$\Q(\sqrt{5})$$ None $$-2$$ $$0$$ $$-1$$ $$-2$$ $-$ $$q-q^{2}+q^{4}+(1-3\beta )q^{5}-2\beta q^{7}-q^{8}+\cdots$$
666.2.a.j $2$ $5.318$ $$\Q(\sqrt{13})$$ None $$2$$ $$0$$ $$1$$ $$2$$ $-$ $$q+q^{2}+q^{4}+\beta q^{5}+(2-2\beta )q^{7}+q^{8}+\cdots$$
666.2.a.k $2$ $5.318$ $$\Q(\sqrt{17})$$ None $$2$$ $$0$$ $$4$$ $$1$$ $-$ $$q+q^{2}+q^{4}+2q^{5}+(1-\beta )q^{7}+q^{8}+\cdots$$
666.2.c.a $2$ $5.318$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$6$$ $$q+iq^{2}-q^{4}+2iq^{5}+3q^{7}-iq^{8}+\cdots$$
666.2.c.b $4$ $5.318$ $$\Q(i, \sqrt{21})$$ None $$0$$ $$0$$ $$0$$ $$-8$$ $$q-\beta _{2}q^{2}-q^{4}+(\beta _{1}-\beta _{2})q^{5}-2q^{7}+\cdots$$
666.2.c.c $4$ $5.318$ $$\Q(i, \sqrt{65})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-\beta _{2}q^{2}-q^{4}+2\beta _{2}q^{5}+(-1+\beta _{3})q^{7}+\cdots$$
666.2.c.d $4$ $5.318$ $$\Q(i, \sqrt{21})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q-\beta _{1}q^{2}-q^{4}+q^{7}+\beta _{1}q^{8}-\beta _{3}q^{11}+\cdots$$
666.2.e.a $2$ $5.318$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-2$$ $$-2$$ $$q+(-1+\zeta_{6})q^{2}+(-1+2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
666.2.e.b $2$ $5.318$ $$\Q(\sqrt{-3})$$ None $$1$$ $$3$$ $$4$$ $$0$$ $$q+(1-\zeta_{6})q^{2}+(1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
666.2.e.c $12$ $5.318$ 12.0.$$\cdots$$.1 None $$-6$$ $$2$$ $$5$$ $$5$$ $$q-\beta _{9}q^{2}+(-\beta _{1}-\beta _{2}+\beta _{3}+\beta _{11})q^{3}+\cdots$$
666.2.e.d $14$ $5.318$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None $$7$$ $$-1$$ $$-3$$ $$3$$ $$q+(1+\beta _{10})q^{2}+\beta _{2}q^{3}+\beta _{10}q^{4}-\beta _{12}q^{5}+\cdots$$
666.2.e.e $20$ $5.318$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$-10$$ $$2$$ $$-1$$ $$-1$$ $$q-\beta _{11}q^{2}+\beta _{7}q^{3}+(-1+\beta _{11})q^{4}+\cdots$$
666.2.e.f $22$ $5.318$ None $$11$$ $$-4$$ $$1$$ $$-5$$
666.2.f.a $2$ $5.318$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-4$$ $$-3$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-4\zeta_{6}q^{5}+\cdots$$
666.2.f.b $2$ $5.318$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-1$$ $$0$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{5}+q^{8}+\cdots$$
666.2.f.c $2$ $5.318$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$1$$ $$-2$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{5}-2\zeta_{6}q^{7}+\cdots$$
666.2.f.d $2$ $5.318$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$3$$ $$4$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+3\zeta_{6}q^{5}+\cdots$$
666.2.f.e $2$ $5.318$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$0$$ $$3$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+3\zeta_{6}q^{7}-q^{8}+\cdots$$
666.2.f.f $2$ $5.318$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$4$$ $$-3$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+4\zeta_{6}q^{5}-3\zeta_{6}q^{7}+\cdots$$
666.2.f.g $4$ $5.318$ $$\Q(\sqrt{-3}, \sqrt{-11})$$ None $$-2$$ $$0$$ $$1$$ $$-3$$ $$q+(-1+\beta _{1})q^{2}-\beta _{1}q^{4}+(\beta _{1}-\beta _{3})q^{5}+\cdots$$
666.2.f.h $4$ $5.318$ $$\Q(\sqrt{-3}, \sqrt{11})$$ None $$-2$$ $$0$$ $$2$$ $$2$$ $$q+\beta _{2}q^{2}+(-1-\beta _{2})q^{4}+(1+\beta _{2})q^{5}+\cdots$$
666.2.f.i $4$ $5.318$ $$\Q(\sqrt{-3}, \sqrt{11})$$ None $$2$$ $$0$$ $$-2$$ $$2$$ $$q-\beta _{2}q^{2}+(-1-\beta _{2})q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots$$
666.2.f.j $6$ $5.318$ 6.0.4406832.1 None $$3$$ $$0$$ $$1$$ $$0$$ $$q+(1+\beta _{3})q^{2}+\beta _{3}q^{4}-\beta _{5}q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots$$
666.2.g.a $2$ $5.318$ $$\Q(\sqrt{-3})$$ None $$1$$ $$3$$ $$-2$$ $$6$$ $$q+\zeta_{6}q^{2}+(1+\zeta_{6})q^{3}+(-1+\zeta_{6})q^{4}+\cdots$$
666.2.g.b $36$ $5.318$ None $$18$$ $$-2$$ $$4$$ $$-8$$
666.2.g.c $38$ $5.318$ None $$-19$$ $$1$$ $$2$$ $$-2$$
666.2.h.a $2$ $5.318$ $$\Q(\sqrt{-3})$$ None $$-2$$ $$0$$ $$4$$ $$-3$$ $$q-q^{2}+(-1+2\zeta_{6})q^{3}+q^{4}+2q^{5}+\cdots$$
666.2.h.b $36$ $5.318$ None $$-36$$ $$-2$$ $$-8$$ $$4$$
666.2.h.c $38$ $5.318$ None $$38$$ $$-2$$ $$-4$$ $$1$$
666.2.j.a $4$ $5.318$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$-8$$ $$4$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(-2+2\zeta_{8}^{2})q^{5}+\cdots$$
666.2.j.b $4$ $5.318$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$-16$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-4q^{7}-\zeta_{8}^{3}q^{8}+\cdots$$
666.2.j.c $4$ $5.318$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$8$$ $$4$$ $$q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+(2+2\zeta_{8}^{2})q^{5}+\cdots$$
666.2.j.d $8$ $5.318$ 8.0.40960000.1 None $$0$$ $$0$$ $$0$$ $$8$$ $$q+\beta _{1}q^{2}+\beta _{3}q^{4}+(1-\beta _{2}+\beta _{7})q^{7}+\cdots$$
666.2.k.a $76$ $5.318$ None $$0$$ $$4$$ $$0$$ $$-2$$
666.2.q.a $4$ $5.318$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+(-1+2\zeta_{12}^{2})q^{3}+\zeta_{12}^{2}q^{4}+\cdots$$
666.2.q.b $72$ $5.318$ None $$0$$ $$4$$ $$0$$ $$4$$
666.2.s.a $4$ $5.318$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$-6$$ $$4$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-2+\zeta_{12}^{2}+\cdots)q^{5}+\cdots$$
666.2.s.b $4$ $5.318$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{2}q^{7}+\zeta_{12}^{3}q^{8}+\cdots$$
666.2.s.c $4$ $5.318$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$4$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-3\zeta_{12}+3\zeta_{12}^{3})q^{5}+\cdots$$
666.2.s.d $4$ $5.318$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$6$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(\zeta_{12}-\zeta_{12}^{3})q^{5}+\cdots$$
666.2.s.e $4$ $5.318$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$6$$ $$-8$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(2-\zeta_{12}^{2})q^{5}+\cdots$$
666.2.s.f $8$ $5.318$ 8.0.303595776.1 None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{5}q^{2}+(1+\beta _{4})q^{4}+(-2\beta _{1}+\beta _{5}+\cdots)q^{5}+\cdots$$