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## Results (1-50 of 99 matches)

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Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
418.2.a.a $1$ $3.338$ $$\Q$$ None $$1$$ $$-1$$ $$-2$$ $$-3$$ $+$ $$q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}-3q^{7}+\cdots$$
418.2.a.b $1$ $3.338$ $$\Q$$ None $$1$$ $$0$$ $$2$$ $$2$$ $-$ $$q+q^{2}+q^{4}+2q^{5}+2q^{7}+q^{8}-3q^{9}+\cdots$$
418.2.a.c $1$ $3.338$ $$\Q$$ None $$1$$ $$3$$ $$-2$$ $$1$$ $-$ $$q+q^{2}+3q^{3}+q^{4}-2q^{5}+3q^{6}+q^{7}+\cdots$$
418.2.a.d $2$ $3.338$ $$\Q(\sqrt{13})$$ None $$-2$$ $$-3$$ $$-1$$ $$-1$$ $+$ $$q-q^{2}+(-1-\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots$$
418.2.a.e $2$ $3.338$ $$\Q(\sqrt{17})$$ None $$-2$$ $$1$$ $$4$$ $$3$$ $-$ $$q-q^{2}+(1-\beta )q^{3}+q^{4}+2q^{5}+(-1+\cdots)q^{6}+\cdots$$
418.2.a.f $2$ $3.338$ $$\Q(\sqrt{21})$$ None $$2$$ $$-1$$ $$3$$ $$-5$$ $-$ $$q+q^{2}-\beta q^{3}+q^{4}+(2-\beta )q^{5}-\beta q^{6}+\cdots$$
418.2.a.g $3$ $3.338$ 3.3.621.1 None $$-3$$ $$0$$ $$-3$$ $$-6$$ $+$ $$q-q^{2}+\beta _{1}q^{3}+q^{4}+(-1-\beta _{1}-\beta _{2})q^{5}+\cdots$$
418.2.a.h $3$ $3.338$ 3.3.469.1 None $$3$$ $$1$$ $$5$$ $$1$$ $-$ $$q+q^{2}+\beta _{1}q^{3}+q^{4}+(2-\beta _{1})q^{5}+\beta _{1}q^{6}+\cdots$$
418.2.b.a $2$ $3.338$ $$\Q(\sqrt{-10})$$ None $$-2$$ $$0$$ $$-4$$ $$0$$ $$q-q^{2}+q^{4}-2q^{5}+\beta q^{7}-q^{8}+3q^{9}+\cdots$$
418.2.b.b $2$ $3.338$ $$\Q(\sqrt{-10})$$ None $$2$$ $$0$$ $$-4$$ $$0$$ $$q+q^{2}+q^{4}-2q^{5}+\beta q^{7}+q^{8}+3q^{9}+\cdots$$
418.2.b.c $8$ $3.338$ 8.0.$$\cdots$$.1 None $$-8$$ $$0$$ $$2$$ $$0$$ $$q-q^{2}-\beta _{3}q^{3}+q^{4}+\beta _{2}q^{5}+\beta _{3}q^{6}+\cdots$$
418.2.b.d $8$ $3.338$ 8.0.$$\cdots$$.1 None $$8$$ $$0$$ $$2$$ $$0$$ $$q+q^{2}+\beta _{3}q^{3}+q^{4}+\beta _{2}q^{5}+\beta _{3}q^{6}+\cdots$$
418.2.e.a $2$ $3.338$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-2$$ $$-1$$ $$-6$$ $$q+(-1+\zeta_{6})q^{2}+(-2+2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
418.2.e.b $2$ $3.338$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$-1$$ $$2$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(-1+\zeta_{6})q^{5}+\cdots$$
418.2.e.c $2$ $3.338$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$0$$ $$4$$ $$-8$$ $$q+(-1+\zeta_{6})q^{2}-\zeta_{6}q^{4}+(4-4\zeta_{6})q^{5}+\cdots$$
418.2.e.d $2$ $3.338$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$2$$ $$0$$ $$4$$ $$q+(-1+\zeta_{6})q^{2}+(2-2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
418.2.e.e $2$ $3.338$ $$\Q(\sqrt{-3})$$ None $$1$$ $$0$$ $$3$$ $$6$$ $$q+(1-\zeta_{6})q^{2}-\zeta_{6}q^{4}+(3-3\zeta_{6})q^{5}+\cdots$$
418.2.e.f $2$ $3.338$ $$\Q(\sqrt{-3})$$ None $$1$$ $$2$$ $$3$$ $$-2$$ $$q+(1-\zeta_{6})q^{2}+(2-2\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
418.2.e.g $4$ $3.338$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{2}q^{3}+(-1+\beta _{1})q^{4}+(-\beta _{2}+\cdots)q^{6}+\cdots$$
418.2.e.h $6$ $3.338$ 6.0.591408.1 None $$-3$$ $$2$$ $$-2$$ $$8$$ $$q-\beta _{4}q^{2}+(-\beta _{1}+\beta _{4})q^{3}+(-1+\beta _{4}+\cdots)q^{4}+\cdots$$
418.2.e.i $6$ $3.338$ 6.0.101617200.1 None $$3$$ $$0$$ $$-6$$ $$12$$ $$q+\beta _{4}q^{2}-\beta _{1}q^{3}+(-1+\beta _{4})q^{4}-2\beta _{4}q^{5}+\cdots$$
418.2.f.a $4$ $3.338$ $$\Q(\zeta_{10})$$ None $$-1$$ $$-4$$ $$-8$$ $$-7$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
418.2.f.b $4$ $3.338$ $$\Q(\zeta_{10})$$ None $$-1$$ $$0$$ $$8$$ $$3$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
418.2.f.c $4$ $3.338$ $$\Q(\zeta_{10})$$ None $$-1$$ $$1$$ $$-1$$ $$-3$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
418.2.f.d $4$ $3.338$ $$\Q(\zeta_{10})$$ None $$-1$$ $$2$$ $$2$$ $$9$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
418.2.f.e $4$ $3.338$ $$\Q(\zeta_{10})$$ None $$-1$$ $$5$$ $$3$$ $$-7$$ $$q+(-1+\zeta_{10}-\zeta_{10}^{2}+\zeta_{10}^{3})q^{2}+\cdots$$
418.2.f.f $16$ $3.338$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$-4$$ $$0$$ $$4$$ $$6$$ $$q+\beta _{4}q^{2}+(-1+\beta _{1}+\beta _{2}-\beta _{4}+\beta _{6}+\cdots)q^{3}+\cdots$$
418.2.f.g $16$ $3.338$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$4$$ $$1$$ $$1$$ $$-12$$ $$q+(1+\beta _{6}-\beta _{8}+\beta _{10})q^{2}+\beta _{1}q^{3}+\cdots$$
418.2.f.h $20$ $3.338$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$5$$ $$-1$$ $$-1$$ $$13$$ $$q+\beta _{9}q^{2}-\beta _{4}q^{3}+(-1+\beta _{8}+\beta _{9}+\cdots)q^{4}+\cdots$$
418.2.h.a $20$ $3.338$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$-10$$ $$3$$ $$2$$ $$0$$ $$q-\beta _{10}q^{2}+\beta _{3}q^{3}+(-1+\beta _{10})q^{4}+\cdots$$
418.2.h.b $20$ $3.338$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$10$$ $$3$$ $$2$$ $$0$$ $$q+(1-\beta _{10})q^{2}+\beta _{4}q^{3}-\beta _{10}q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots$$
418.2.j.a $24$ $3.338$ None $$0$$ $$0$$ $$0$$ $$0$$
418.2.j.b $24$ $3.338$ None $$0$$ $$0$$ $$0$$ $$12$$
418.2.j.c $30$ $3.338$ None $$0$$ $$0$$ $$0$$ $$-12$$
418.2.j.d $30$ $3.338$ None $$0$$ $$0$$ $$0$$ $$0$$
418.2.m.a $40$ $3.338$ None $$-10$$ $$0$$ $$2$$ $$-5$$
418.2.m.b $40$ $3.338$ None $$10$$ $$0$$ $$2$$ $$-5$$
418.2.n.a $8$ $3.338$ $$\Q(\zeta_{15})$$ None $$-1$$ $$6$$ $$7$$ $$-2$$ $$q+(\zeta_{15}+\zeta_{15}^{6})q^{2}+(2\zeta_{15}-2\zeta_{15}^{5}+\cdots)q^{3}+\cdots$$
418.2.n.b $8$ $3.338$ $$\Q(\zeta_{15})$$ None $$1$$ $$-2$$ $$-5$$ $$6$$ $$q+(-\zeta_{15}-\zeta_{15}^{6})q^{2}+(2-2\zeta_{15}+2\zeta_{15}^{3}+\cdots)q^{3}+\cdots$$
418.2.n.c $8$ $3.338$ $$\Q(\zeta_{15})$$ None $$1$$ $$2$$ $$1$$ $$6$$ $$q+(-\zeta_{15}-\zeta_{15}^{6})q^{2}+(-2+2\zeta_{15}+\cdots)q^{3}+\cdots$$
418.2.n.d $64$ $3.338$ None $$-8$$ $$-6$$ $$-7$$ $$22$$
418.2.n.e $72$ $3.338$ None $$9$$ $$-2$$ $$8$$ $$-20$$
418.2.q.a $60$ $3.338$ None $$0$$ $$-3$$ $$0$$ $$-18$$
418.2.q.b $60$ $3.338$ None $$0$$ $$-3$$ $$0$$ $$18$$
418.2.s.a $80$ $3.338$ None $$-10$$ $$-3$$ $$-2$$ $$-10$$
418.2.s.b $80$ $3.338$ None $$10$$ $$-3$$ $$-2$$ $$-10$$
418.2.u.a $216$ $3.338$ None $$0$$ $$0$$ $$0$$ $$-3$$
418.2.u.b $264$ $3.338$ None $$0$$ $$6$$ $$0$$ $$-15$$
418.2.v.a $240$ $3.338$ None $$0$$ $$3$$ $$0$$ $$33$$
418.2.v.b $240$ $3.338$ None $$0$$ $$3$$ $$0$$ $$-3$$
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