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## Results (39 matches)

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Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3040.1.b.a $8$ $1.517$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{16}^{3}-\zeta_{16}^{5})q^{3}+\zeta_{16}^{4}q^{5}+\cdots$$
3040.1.cc.a $2$ $1.517$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$-1$$ $$2$$ $$q-\zeta_{6}q^{5}+q^{7}+\zeta_{6}^{2}q^{9}+q^{11}+\zeta_{6}^{2}q^{13}+\cdots$$
3040.1.cc.b $2$ $1.517$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$1$$ $$-2$$ $$q+\zeta_{6}q^{5}-q^{7}+\zeta_{6}^{2}q^{9}+q^{11}-\zeta_{6}^{2}q^{13}+\cdots$$
3040.1.cn.a $32$ $1.517$ $$\Q(\zeta_{64})$$ $$\Q(\sqrt{-95})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{64}^{27}q^{2}+(-\zeta_{64}^{25}-\zeta_{64}^{31}+\cdots)q^{3}+\cdots$$
3040.1.dv.a $6$ $1.517$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{7}q^{5}+(\zeta_{18}^{4}+\zeta_{18}^{8})q^{7}+\zeta_{18}^{8}q^{9}+\cdots$$
3040.1.dv.b $6$ $1.517$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{7}q^{5}+(-\zeta_{18}^{4}-\zeta_{18}^{8})q^{7}+\cdots$$
3040.2.a.a $1$ $24.275$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$3$$ $-$ $$q-q^{3}+q^{5}+3q^{7}-2q^{9}+5q^{13}+\cdots$$
3040.2.a.b $1$ $24.275$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-2$$ $+$ $$q-q^{5}-2q^{7}-3q^{9}+4q^{11}-4q^{13}+\cdots$$
3040.2.a.c $1$ $24.275$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$2$$ $-$ $$q-q^{5}+2q^{7}-3q^{9}-4q^{11}-4q^{13}+\cdots$$
3040.2.a.d $1$ $24.275$ $$\Q$$ None None $$0$$ $$1$$ $$1$$ $$-3$$ $+$ $$q+q^{3}+q^{5}-3q^{7}-2q^{9}+5q^{13}+\cdots$$
3040.2.a.e $2$ $24.275$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$-2$$ $$5$$ $+$ $$q-\beta q^{3}-q^{5}+(2+\beta )q^{7}+(1+\beta )q^{9}+\cdots$$
3040.2.a.f $2$ $24.275$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $-$ $$q+q^{5}-\beta q^{7}-3q^{9}-4q^{11}+(2+\beta )q^{13}+\cdots$$
3040.2.a.g $2$ $24.275$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $-$ $$q+q^{5}+\beta q^{7}-3q^{9}+4q^{11}+(2+\beta )q^{13}+\cdots$$
3040.2.a.h $2$ $24.275$ $$\Q(\sqrt{17})$$ None None $$0$$ $$1$$ $$-2$$ $$-5$$ $-$ $$q+\beta q^{3}-q^{5}+(-2-\beta )q^{7}+(1+\beta )q^{9}+\cdots$$
3040.2.a.i $3$ $24.275$ 3.3.148.1 None None $$0$$ $$-4$$ $$-3$$ $$-4$$ $+$ $$q+(-1-\beta _{1})q^{3}-q^{5}+(-1-\beta _{1}+\beta _{2})q^{7}+\cdots$$
3040.2.a.j $3$ $24.275$ 3.3.148.1 None None $$0$$ $$-4$$ $$3$$ $$2$$ $+$ $$q+(-1-\beta _{1})q^{3}+q^{5}+(1-\beta _{1}+\beta _{2})q^{7}+\cdots$$
3040.2.a.k $3$ $24.275$ 3.3.564.1 None None $$0$$ $$-2$$ $$-3$$ $$4$$ $-$ $$q+(-1+\beta _{1})q^{3}-q^{5}+(1-\beta _{2})q^{7}+\cdots$$
3040.2.a.l $3$ $24.275$ 3.3.148.1 None None $$0$$ $$0$$ $$3$$ $$-2$$ $+$ $$q+\beta _{2}q^{3}+q^{5}+(-1+\beta _{1}-\beta _{2})q^{7}+\cdots$$
3040.2.a.m $3$ $24.275$ 3.3.148.1 None None $$0$$ $$0$$ $$3$$ $$2$$ $+$ $$q-\beta _{2}q^{3}+q^{5}+(1-\beta _{1}+\beta _{2})q^{7}+(-\beta _{1}+\cdots)q^{9}+\cdots$$
3040.2.a.n $3$ $24.275$ 3.3.564.1 None None $$0$$ $$2$$ $$-3$$ $$-4$$ $-$ $$q+(1-\beta _{1})q^{3}-q^{5}+(-1+\beta _{2})q^{7}+\cdots$$
3040.2.a.o $3$ $24.275$ 3.3.148.1 None None $$0$$ $$4$$ $$-3$$ $$4$$ $-$ $$q+(1+\beta _{1})q^{3}-q^{5}+(1+\beta _{1}-\beta _{2})q^{7}+\cdots$$
3040.2.a.p $3$ $24.275$ 3.3.148.1 None None $$0$$ $$4$$ $$3$$ $$-2$$ $-$ $$q+(1+\beta _{1})q^{3}+q^{5}+(-1+\beta _{1}-\beta _{2})q^{7}+\cdots$$
3040.2.a.q $4$ $24.275$ 4.4.78292.1 None None $$0$$ $$-1$$ $$-4$$ $$5$$ $-$ $$q-\beta _{1}q^{3}-q^{5}+(1+\beta _{2})q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots$$
3040.2.a.r $4$ $24.275$ 4.4.17428.1 None None $$0$$ $$-1$$ $$4$$ $$-5$$ $+$ $$q-\beta _{1}q^{3}+q^{5}+(-1-\beta _{2})q^{7}+\beta _{2}q^{9}+\cdots$$
3040.2.a.s $4$ $24.275$ 4.4.78292.1 None None $$0$$ $$1$$ $$-4$$ $$-5$$ $+$ $$q+\beta _{1}q^{3}-q^{5}+(-1-\beta _{2})q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots$$
3040.2.a.t $4$ $24.275$ 4.4.17428.1 None None $$0$$ $$1$$ $$4$$ $$5$$ $-$ $$q+\beta _{1}q^{3}+q^{5}+(1+\beta _{2})q^{7}+\beta _{2}q^{9}+\cdots$$
3040.2.a.u $5$ $24.275$ 5.5.387268.1 None None $$0$$ $$-4$$ $$-5$$ $$4$$ $+$ $$q+(-1-\beta _{1})q^{3}-q^{5}+(1+\beta _{4})q^{7}+\cdots$$
3040.2.a.v $5$ $24.275$ 5.5.2363492.1 None None $$0$$ $$-2$$ $$5$$ $$2$$ $-$ $$q+\beta _{1}q^{3}+q^{5}+\beta _{2}q^{7}+(4-\beta _{3})q^{9}+\cdots$$
3040.2.a.w $5$ $24.275$ 5.5.2363492.1 None None $$0$$ $$2$$ $$5$$ $$-2$$ $-$ $$q-\beta _{1}q^{3}+q^{5}-\beta _{2}q^{7}+(4-\beta _{3})q^{9}+\cdots$$
3040.2.a.x $5$ $24.275$ 5.5.387268.1 None None $$0$$ $$4$$ $$-5$$ $$-4$$ $+$ $$q+(1+\beta _{1})q^{3}-q^{5}+(-1-\beta _{4})q^{7}+\cdots$$
3040.2.e.a $80$ $24.275$ None None $$0$$ $$0$$ $$0$$ $$0$$
3040.2.f.a $28$ $24.275$ None None $$0$$ $$0$$ $$0$$ $$-4$$
3040.2.f.b $44$ $24.275$ None None $$0$$ $$0$$ $$0$$ $$-4$$
3040.2.j.a $4$ $24.275$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+q^{5}+(-\zeta_{8}+\zeta_{8}^{2})q^{7}-3q^{9}+(\zeta_{8}+\cdots)q^{11}+\cdots$$
3040.2.j.b $4$ $24.275$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+\zeta_{8}^{3}q^{3}+q^{5}+4\zeta_{8}q^{7}-q^{9}+4\zeta_{8}q^{11}+\cdots$$
3040.2.j.c $4$ $24.275$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+(-\zeta_{8}-\zeta_{8}^{2})q^{3}+q^{5}+(\zeta_{8}-\zeta_{8}^{2}+\cdots)q^{7}+\cdots$$
3040.2.j.d $8$ $24.275$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$8$$ $$0$$ $$q-\zeta_{24}q^{3}+q^{5}-\zeta_{24}^{7}q^{7}+(\zeta_{24}^{2}+\cdots)q^{11}+\cdots$$
3040.2.j.e $20$ $24.275$ $$\mathbb{Q}[x]/(x^{20} - \cdots)$$ None None $$0$$ $$0$$ $$20$$ $$0$$ $$q-\beta _{4}q^{3}+q^{5}+\beta _{7}q^{7}+(1-\beta _{3})q^{9}+\cdots$$
3040.2.j.f $40$ $24.275$ None None $$0$$ $$0$$ $$-40$$ $$0$$
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