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## Results (1-50 of 162 matches)

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Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
570.2.a.a $1$ $4.551$ $$\Q$$ None $$-1$$ $$-1$$ $$-1$$ $$-2$$ $-$ $$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}-2q^{7}+\cdots$$
570.2.a.b $1$ $4.551$ $$\Q$$ None $$-1$$ $$-1$$ $$-1$$ $$2$$ $+$ $$q-q^{2}-q^{3}+q^{4}-q^{5}+q^{6}+2q^{7}+\cdots$$
570.2.a.c $1$ $4.551$ $$\Q$$ None $$-1$$ $$-1$$ $$1$$ $$-2$$ $+$ $$q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots$$
570.2.a.d $1$ $4.551$ $$\Q$$ None $$-1$$ $$1$$ $$-1$$ $$4$$ $-$ $$q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}+4q^{7}+\cdots$$
570.2.a.e $1$ $4.551$ $$\Q$$ None $$-1$$ $$1$$ $$1$$ $$-4$$ $+$ $$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-4q^{7}+\cdots$$
570.2.a.f $1$ $4.551$ $$\Q$$ None $$-1$$ $$1$$ $$1$$ $$2$$ $-$ $$q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+2q^{7}+\cdots$$
570.2.a.g $1$ $4.551$ $$\Q$$ None $$1$$ $$-1$$ $$-1$$ $$0$$ $-$ $$q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}+q^{8}+\cdots$$
570.2.a.h $1$ $4.551$ $$\Q$$ None $$1$$ $$-1$$ $$1$$ $$-2$$ $-$ $$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}-2q^{7}+\cdots$$
570.2.a.i $1$ $4.551$ $$\Q$$ None $$1$$ $$-1$$ $$1$$ $$4$$ $-$ $$q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+4q^{7}+\cdots$$
570.2.a.j $1$ $4.551$ $$\Q$$ None $$1$$ $$1$$ $$-1$$ $$2$$ $-$ $$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+2q^{7}+\cdots$$
570.2.a.k $1$ $4.551$ $$\Q$$ None $$1$$ $$1$$ $$-1$$ $$2$$ $-$ $$q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+2q^{7}+\cdots$$
570.2.a.l $1$ $4.551$ $$\Q$$ None $$1$$ $$1$$ $$1$$ $$-2$$ $-$ $$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}-2q^{7}+\cdots$$
570.2.a.m $1$ $4.551$ $$\Q$$ None $$1$$ $$1$$ $$1$$ $$4$$ $-$ $$q+q^{2}+q^{3}+q^{4}+q^{5}+q^{6}+4q^{7}+\cdots$$
570.2.c.a $4$ $4.551$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}+(\zeta_{8}+\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}-q^{4}+\cdots$$
570.2.c.b $4$ $4.551$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}+(\zeta_{8}+\zeta_{8}^{2}-\zeta_{8}^{3})q^{3}-q^{4}+\cdots$$
570.2.c.c $8$ $4.551$ 8.0.1499238400.2 None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}+(-1-\beta _{3}+\beta _{4}+\beta _{6}+\beta _{7})q^{3}+\cdots$$
570.2.c.d $8$ $4.551$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}q^{2}-\zeta_{24}^{4}q^{3}-q^{4}+(-\zeta_{24}^{2}+\cdots)q^{5}+\cdots$$
570.2.c.e $8$ $4.551$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}q^{2}+(-\zeta_{24}-\zeta_{24}^{6})q^{3}-q^{4}+\cdots$$
570.2.c.f $8$ $4.551$ 8.0.1499238400.2 None $$0$$ $$4$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}+(-\beta _{3}+\beta _{4}+\beta _{6}+\beta _{7})q^{3}+\cdots$$
570.2.d.a $2$ $4.551$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{2}+iq^{3}-q^{4}+(-1-2i)q^{5}+\cdots$$
570.2.d.b $2$ $4.551$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+iq^{2}+iq^{3}-q^{4}+(2+i)q^{5}-q^{6}+\cdots$$
570.2.d.c $6$ $4.551$ 6.0.350464.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{1}q^{3}-q^{4}+\beta _{3}q^{5}-q^{6}+\cdots$$
570.2.d.d $6$ $4.551$ 6.0.350464.1 None $$0$$ $$0$$ $$2$$ $$0$$ $$q+\beta _{1}q^{2}-\beta _{1}q^{3}-q^{4}-\beta _{5}q^{5}+q^{6}+\cdots$$
570.2.f.a $4$ $4.551$ $$\Q(\zeta_{8})$$ None $$-4$$ $$-4$$ $$0$$ $$8$$ $$q-q^{2}+(-1-\zeta_{8}^{2})q^{3}+q^{4}+\zeta_{8}q^{5}+\cdots$$
570.2.f.b $4$ $4.551$ $$\Q(\zeta_{8})$$ None $$4$$ $$4$$ $$0$$ $$8$$ $$q+q^{2}+(1+\zeta_{8}^{2})q^{3}+q^{4}+\zeta_{8}q^{5}+\cdots$$
570.2.f.c $8$ $4.551$ 8.0.7278137344.1 None $$-8$$ $$2$$ $$0$$ $$4$$ $$q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots$$
570.2.f.d $8$ $4.551$ 8.0.7278137344.1 None $$8$$ $$-2$$ $$0$$ $$4$$ $$q+q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{2}q^{5}-\beta _{1}q^{6}+\cdots$$
570.2.i.a $2$ $4.551$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$1$$ $$-2$$ $$q+(-1+\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
570.2.i.b $2$ $4.551$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$-1$$ $$1$$ $$-2$$ $$q+(-1+\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
570.2.i.c $2$ $4.551$ $$\Q(\sqrt{-3})$$ None $$-1$$ $$1$$ $$1$$ $$6$$ $$q+(-1+\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
570.2.i.d $2$ $4.551$ $$\Q(\sqrt{-3})$$ None $$1$$ $$-1$$ $$1$$ $$-2$$ $$q+(1-\zeta_{6})q^{2}+(-1+\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
570.2.i.e $2$ $4.551$ $$\Q(\sqrt{-3})$$ None $$1$$ $$1$$ $$-1$$ $$-10$$ $$q+(1-\zeta_{6})q^{2}+(1-\zeta_{6})q^{3}-\zeta_{6}q^{4}+\cdots$$
570.2.i.f $4$ $4.551$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None $$-2$$ $$2$$ $$-2$$ $$4$$ $$q+(-1+\beta _{1})q^{2}+(1-\beta _{1})q^{3}-\beta _{1}q^{4}+\cdots$$
570.2.i.g $4$ $4.551$ $$\Q(\sqrt{-3}, \sqrt{73})$$ None $$2$$ $$-2$$ $$-2$$ $$-4$$ $$q+(1-\beta _{2})q^{2}+(-1+\beta _{2})q^{3}-\beta _{2}q^{4}+\cdots$$
570.2.i.h $4$ $4.551$ $$\Q(\sqrt{-3}, \sqrt{19})$$ None $$2$$ $$-2$$ $$2$$ $$0$$ $$q+(1+\beta _{2})q^{2}+(-1-\beta _{2})q^{3}+\beta _{2}q^{4}+\cdots$$
570.2.i.i $4$ $4.551$ $$\Q(\sqrt{-3}, \sqrt{7})$$ None $$2$$ $$2$$ $$2$$ $$0$$ $$q+(1+\beta _{2})q^{2}+(1+\beta _{2})q^{3}+\beta _{2}q^{4}+\cdots$$
570.2.i.j $6$ $4.551$ 6.0.29654208.1 None $$-3$$ $$-3$$ $$-3$$ $$2$$ $$q+(-1+\beta _{1})q^{2}+(-1+\beta _{1})q^{3}-\beta _{1}q^{4}+\cdots$$
570.2.k.a $36$ $4.551$ None $$0$$ $$4$$ $$0$$ $$-12$$
570.2.k.b $36$ $4.551$ None $$0$$ $$4$$ $$0$$ $$20$$
570.2.m.a $20$ $4.551$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$0$$ $$0$$ $$-4$$ $$-4$$ $$q+\beta _{2}q^{2}+\beta _{11}q^{3}+\beta _{4}q^{4}+\beta _{6}q^{5}+\cdots$$
570.2.m.b $20$ $4.551$ $$\mathbb{Q}[x]/(x^{20} + \cdots)$$ None $$0$$ $$0$$ $$12$$ $$-4$$ $$q+\beta _{7}q^{2}-\beta _{10}q^{3}+\beta _{2}q^{4}+(1+\beta _{6}+\cdots)q^{5}+\cdots$$
570.2.n.a $80$ $4.551$ None $$0$$ $$0$$ $$0$$ $$0$$
570.2.q.a $8$ $4.551$ $$\Q(\zeta_{24})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+(\zeta_{24}-\zeta_{24}^{4})q^{2}+(\zeta_{24}-\zeta_{24}^{4})q^{3}+\cdots$$
570.2.q.b $12$ $4.551$ 12.0.$$\cdots$$.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{3}-\beta _{4})q^{2}+(-\beta _{3}-\beta _{4})q^{3}+\cdots$$
570.2.q.c $20$ $4.551$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{11}q^{2}+\beta _{11}q^{3}+(1-\beta _{12})q^{4}+\cdots$$
570.2.s.a $24$ $4.551$ None $$-12$$ $$4$$ $$0$$ $$-12$$
570.2.s.b $24$ $4.551$ None $$12$$ $$2$$ $$0$$ $$-12$$
570.2.u.a $6$ $4.551$ $$\Q(\zeta_{18})$$ None $$0$$ $$0$$ $$0$$ $$-6$$ $$q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}+\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots$$
570.2.u.b $6$ $4.551$ $$\Q(\zeta_{18})$$ None $$0$$ $$0$$ $$0$$ $$-6$$ $$q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}-\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots$$
570.2.u.c $6$ $4.551$ $$\Q(\zeta_{18})$$ None $$0$$ $$0$$ $$0$$ $$-3$$ $$q+(-\zeta_{18}+\zeta_{18}^{4})q^{2}-\zeta_{18}q^{3}-\zeta_{18}^{5}q^{4}+\cdots$$
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