## Results (1-50 of 190 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1088.1.g.a $1$ $0.543$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-17})$$ $$\Q(\sqrt{17})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-q^{9}+2q^{13}+q^{17}+q^{25}-q^{49}+\cdots$$
1088.1.g.b $2$ $0.543$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-17})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{3}-\beta q^{7}+q^{9}+\beta q^{11}-q^{17}+\cdots$$
1088.1.n.a $2$ $0.543$ $$\Q(\sqrt{-1})$$ None $$\Q(\sqrt{2})$$ $$0$$ $$0$$ $$0$$ $$-2$$ $$q+(-1+i)q^{7}+iq^{9}+iq^{17}+(-1+\cdots)q^{23}+\cdots$$
1088.1.n.b $2$ $0.543$ $$\Q(\sqrt{-1})$$ None $$\Q(\sqrt{2})$$ $$0$$ $$0$$ $$0$$ $$2$$ $$q+(1-i)q^{7}+iq^{9}+iq^{17}+(1-i+\cdots)q^{23}+\cdots$$
1088.1.p.a $2$ $0.543$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(1-i)q^{5}-iq^{9}-q^{17}-iq^{25}+\cdots$$
1088.1.ba.a $4$ $0.543$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{8}^{2}+\zeta_{8}^{3})q^{5}-\zeta_{8}q^{9}+(-\zeta_{8}+\cdots)q^{13}+\cdots$$
1088.1.co.a $8$ $0.543$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{16}^{6}+\zeta_{16}^{7})q^{3}+(-\zeta_{16}^{4}+\zeta_{16}^{5}+\cdots)q^{9}+\cdots$$
1088.1.co.b $8$ $0.543$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{16}^{6}-\zeta_{16}^{7})q^{3}+(-\zeta_{16}^{4}+\zeta_{16}^{5}+\cdots)q^{9}+\cdots$$
1088.1.cz.a $8$ $0.543$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{16}^{2}-\zeta_{16}^{7})q^{5}-\zeta_{16}^{5}q^{9}+\cdots$$
1088.2.a.a $1$ $8.688$ $$\Q$$ None None $$0$$ $$-2$$ $$-4$$ $$-4$$ $-$ $$q-2q^{3}-4q^{5}-4q^{7}+q^{9}-2q^{11}+\cdots$$
1088.2.a.b $1$ $8.688$ $$\Q$$ None None $$0$$ $$-2$$ $$-2$$ $$2$$ $+$ $$q-2q^{3}-2q^{5}+2q^{7}+q^{9}+2q^{11}+\cdots$$
1088.2.a.c $1$ $8.688$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $+$ $$q-2q^{3}+q^{9}-2q^{11}+6q^{13}-q^{17}+\cdots$$
1088.2.a.d $1$ $8.688$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$4$$ $-$ $$q-2q^{3}+4q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots$$
1088.2.a.e $1$ $8.688$ $$\Q$$ None None $$0$$ $$-2$$ $$2$$ $$2$$ $+$ $$q-2q^{3}+2q^{5}+2q^{7}+q^{9}-6q^{11}+\cdots$$
1088.2.a.f $1$ $8.688$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $+$ $$q-2q^{7}-3q^{9}+4q^{11}-2q^{13}-q^{17}+\cdots$$
1088.2.a.g $1$ $8.688$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $+$ $$q+2q^{7}-3q^{9}-4q^{11}-2q^{13}-q^{17}+\cdots$$
1088.2.a.h $1$ $8.688$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-4$$ $+$ $$q+2q^{5}-4q^{7}-3q^{9}+2q^{13}+q^{17}+\cdots$$
1088.2.a.i $1$ $8.688$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$4$$ $-$ $$q+2q^{5}+4q^{7}-3q^{9}+2q^{13}+q^{17}+\cdots$$
1088.2.a.j $1$ $8.688$ $$\Q$$ None None $$0$$ $$2$$ $$-4$$ $$4$$ $-$ $$q+2q^{3}-4q^{5}+4q^{7}+q^{9}+2q^{11}+\cdots$$
1088.2.a.k $1$ $8.688$ $$\Q$$ None None $$0$$ $$2$$ $$-2$$ $$-2$$ $+$ $$q+2q^{3}-2q^{5}-2q^{7}+q^{9}-2q^{11}+\cdots$$
1088.2.a.l $1$ $8.688$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$-4$$ $+$ $$q+2q^{3}-4q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots$$
1088.2.a.m $1$ $8.688$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $-$ $$q+2q^{3}+q^{9}+2q^{11}+6q^{13}-q^{17}+\cdots$$
1088.2.a.n $1$ $8.688$ $$\Q$$ None None $$0$$ $$2$$ $$2$$ $$-2$$ $-$ $$q+2q^{3}+2q^{5}-2q^{7}+q^{9}+6q^{11}+\cdots$$
1088.2.a.o $2$ $8.688$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-2$$ $$-4$$ $$-2$$ $+$ $$q+(-1-\beta )q^{3}-2q^{5}+(-1-\beta )q^{7}+\cdots$$
1088.2.a.p $2$ $8.688$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$0$$ $$-2$$ $+$ $$q+(-1+\beta )q^{3}-2\beta q^{5}+(-1+\beta )q^{7}+\cdots$$
1088.2.a.q $2$ $8.688$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $-$ $$q+\beta q^{3}+2q^{5}+3\beta q^{7}-q^{9}+\beta q^{11}+\cdots$$
1088.2.a.r $2$ $8.688$ $$\Q(\sqrt{10})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $-$ $$q+\beta q^{3}+2q^{5}-\beta q^{7}+7q^{9}+\beta q^{11}+\cdots$$
1088.2.a.s $2$ $8.688$ $$\Q(\sqrt{5})$$ None None $$0$$ $$2$$ $$-4$$ $$2$$ $-$ $$q+(1+\beta )q^{3}-2q^{5}+(1+\beta )q^{7}+(3+2\beta )q^{9}+\cdots$$
1088.2.a.t $2$ $8.688$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$0$$ $$2$$ $-$ $$q+(1+\beta )q^{3}+2\beta q^{5}+(1+\beta )q^{7}+(1+\cdots)q^{9}+\cdots$$
1088.2.a.u $3$ $8.688$ 3.3.148.1 None None $$0$$ $$-2$$ $$2$$ $$2$$ $-$ $$q+(-1+\beta _{1})q^{3}+(\beta _{1}+\beta _{2})q^{5}+(1-\beta _{2})q^{7}+\cdots$$
1088.2.a.v $3$ $8.688$ 3.3.148.1 None None $$0$$ $$2$$ $$2$$ $$-2$$ $-$ $$q+(1-\beta _{1})q^{3}+(\beta _{1}+\beta _{2})q^{5}+(-1+\beta _{2})q^{7}+\cdots$$
1088.2.b.a $2$ $8.688$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{3}+\beta q^{5}-5q^{9}-\beta q^{11}-2q^{13}+\cdots$$
1088.2.b.b $2$ $8.688$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{3}-\beta q^{5}-5q^{9}-\beta q^{11}-2q^{13}+\cdots$$
1088.2.b.c $2$ $8.688$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-iq^{7}-q^{9}+iq^{11}+2q^{13}+\cdots$$
1088.2.b.d $2$ $8.688$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-iq^{7}-q^{9}+iq^{11}+2q^{13}+\cdots$$
1088.2.b.e $2$ $8.688$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{3}+2\beta q^{5}+3\beta q^{7}+q^{9}-\beta q^{11}+\cdots$$
1088.2.b.f $2$ $8.688$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{3}-2\beta q^{5}+3\beta q^{7}+q^{9}-\beta q^{11}+\cdots$$
1088.2.b.g $2$ $8.688$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{5}+\beta q^{7}+3q^{9}+2\beta q^{11}-2q^{13}+\cdots$$
1088.2.b.h $2$ $8.688$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{5}+\beta q^{7}+3q^{9}+2\beta q^{11}-2q^{13}+\cdots$$
1088.2.b.i $2$ $8.688$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{5}+3q^{9}+6q^{13}+(1+i)q^{17}+\cdots$$
1088.2.b.j $4$ $8.688$ 4.0.2312.1 $$\Q(\sqrt{-17})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+(-\beta _{1}+\beta _{2})q^{7}+(-4-\beta _{3})q^{9}+\cdots$$
1088.2.b.k $4$ $8.688$ 4.0.2312.1 $$\Q(\sqrt{-17})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+\beta _{1}q^{7}+(-2+\beta _{2})q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots$$
1088.2.b.l $4$ $8.688$ 4.0.2048.2 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{3}+(\beta _{1}+\beta _{2})q^{5}+\beta _{1}q^{7}+(-1+\cdots)q^{9}+\cdots$$
1088.2.b.m $4$ $8.688$ 4.0.2048.2 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+\beta _{1}q^{7}+\cdots$$
1088.2.c.a $2$ $8.688$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q-iq^{5}-4q^{7}+3q^{9}+2iq^{11}+2iq^{13}+\cdots$$
1088.2.c.b $2$ $8.688$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$8$$ $$q+iq^{5}+4q^{7}+3q^{9}+2iq^{11}-2iq^{13}+\cdots$$
1088.2.c.c $4$ $8.688$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{3}-\zeta_{8}^{2}q^{5}-\zeta_{8}^{3}q^{7}-q^{9}+\cdots$$
1088.2.c.d $12$ $8.688$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{8}q^{3}-\beta _{6}q^{5}+\beta _{3}q^{7}+(-2-\beta _{5}+\cdots)q^{9}+\cdots$$
1088.2.c.e $12$ $8.688$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{6}q^{3}+\beta _{5}q^{5}+\beta _{3}q^{7}+(-1+\beta _{1}+\cdots)q^{9}+\cdots$$
1088.2.h.a $4$ $8.688$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{3}+5q^{9}-\zeta_{8}^{3}q^{11}+(3+\zeta_{8}^{2}+\cdots)q^{17}+\cdots$$