## Results (1-50 of 75 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2312.1.e.a $2$ $1.154$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-2})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}-q^{8}-q^{9}+\cdots$$
2312.1.e.b $4$ $1.154$ 4.0.2048.2 $$\Q(\sqrt{-2})$$ None $$4$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+q^{8}+\cdots$$
2312.1.f.a $1$ $1.154$ $$\Q$$ $$\Q(\sqrt{-2})$$, $$\Q(\sqrt{-34})$$ $$\Q(\sqrt{17})$$ $$1$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}+q^{8}-q^{9}+q^{16}-q^{18}+\cdots$$
2312.1.f.b $2$ $1.154$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-2})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}-\beta q^{3}+q^{4}-\beta q^{6}+q^{8}+q^{9}+\cdots$$
2312.1.f.c $4$ $1.154$ $$\Q(\zeta_{16})^+$$ $$\Q(\sqrt{-2})$$ None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}-q^{8}+\cdots$$
2312.1.j.a $2$ $1.154$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-2})$$, $$\Q(\sqrt{-34})$$ $$\Q(\sqrt{17})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}-iq^{8}+iq^{9}+q^{16}+\cdots$$
2312.1.j.b $2$ $1.154$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+iq^{2}+(1-i)q^{3}-q^{4}+(1+i)q^{6}+\cdots$$
2312.1.j.c $8$ $1.154$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{4}q^{2}+(\zeta_{16}^{5}-\zeta_{16}^{7})q^{3}-q^{4}+\cdots$$
2312.1.p.a $4$ $1.154$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+\zeta_{8}^{3}q^{2}+(-1-\zeta_{8})q^{3}-\zeta_{8}^{2}q^{4}+\cdots$$
2312.1.p.b $4$ $1.154$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{3}q^{2}+(-\zeta_{8}^{2}+\zeta_{8}^{3})q^{3}-\zeta_{8}^{2}q^{4}+\cdots$$
2312.1.p.c $4$ $1.154$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$, $$\Q(\sqrt{-34})$$ $$\Q(\sqrt{17})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}q^{8}-\zeta_{8}q^{9}+\cdots$$
2312.1.p.d $4$ $1.154$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$4$$ $$0$$ $$0$$ $$q+\zeta_{8}^{3}q^{2}+(1+\zeta_{8})q^{3}-\zeta_{8}^{2}q^{4}+(-1+\cdots)q^{6}+\cdots$$
2312.1.p.e $8$ $1.154$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{16}^{6}q^{2}+(-\zeta_{16}^{3}-\zeta_{16}^{7})q^{3}+\cdots$$
2312.1.q.a $16$ $1.154$ $$\Q(\zeta_{32})$$ None $$\Q(\sqrt{34})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{32}^{2}q^{2}+(-\zeta_{32}^{3}-\zeta_{32}^{11})q^{3}+\cdots$$
2312.1.x.a $16$ $1.154$ $$\Q(\zeta_{34})$$ $$\Q(\sqrt{-2})$$ None $$-1$$ $$-2$$ $$0$$ $$0$$ $$q-\zeta_{34}q^{2}+(-\zeta_{34}^{5}-\zeta_{34}^{7})q^{3}+\zeta_{34}^{2}q^{4}+\cdots$$
2312.1.y.a $16$ $1.154$ $$\Q(\zeta_{34})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{34}^{5}q^{2}+(\zeta_{34}+\zeta_{34}^{8})q^{3}+\zeta_{34}^{10}q^{4}+\cdots$$
2312.1.be.a $32$ $1.154$ $$\Q(\zeta_{68})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q-\zeta_{68}^{13}q^{2}+(\zeta_{68}^{14}+\zeta_{68}^{23})q^{3}+\cdots$$
2312.1.bg.a $64$ $1.154$ $$\Q(\zeta_{136})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{136}^{35}q^{2}+(\zeta_{136}^{7}-\zeta_{136}^{22})q^{3}+\cdots$$
2312.2.a.a $1$ $18.461$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q-2q^{3}+q^{9}-2q^{11}-6q^{13}+4q^{19}+\cdots$$
2312.2.a.b $1$ $18.461$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$2$$ $+$ $$q-2q^{3}+2q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots$$
2312.2.a.c $1$ $18.461$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$-2$$ $+$ $$q+2q^{3}-2q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots$$
2312.2.a.d $1$ $18.461$ $$\Q$$ None None $$0$$ $$2$$ $$2$$ $$2$$ $-$ $$q+2q^{3}+2q^{5}+2q^{7}+q^{9}+6q^{11}+\cdots$$
2312.2.a.e $2$ $18.461$ $$\Q(\sqrt{13})$$ None None $$0$$ $$-3$$ $$1$$ $$1$$ $+$ $$q+(-1-\beta )q^{3}+\beta q^{5}+\beta q^{7}+(1+3\beta )q^{9}+\cdots$$
2312.2.a.f $2$ $18.461$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-1$$ $$-1$$ $$-5$$ $+$ $$q-\beta q^{3}+(1-3\beta )q^{5}+(-3+\beta )q^{7}+\cdots$$
2312.2.a.g $2$ $18.461$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\beta q^{5}+\beta q^{7}-3q^{9}-2\beta q^{11}+2q^{13}+\cdots$$
2312.2.a.h $2$ $18.461$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\beta q^{3}-3\beta q^{5}-3\beta q^{7}-q^{9}-\beta q^{11}+\cdots$$
2312.2.a.i $2$ $18.461$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q+\beta q^{3}-\beta q^{5}+\beta q^{7}-q^{9}-\beta q^{11}+\cdots$$
2312.2.a.j $2$ $18.461$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\beta q^{3}+2\beta q^{5}+2\beta q^{7}-q^{9}-\beta q^{11}+\cdots$$
2312.2.a.k $2$ $18.461$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+2\beta q^{3}+\beta q^{5}-2\beta q^{7}+5q^{9}-2\beta q^{11}+\cdots$$
2312.2.a.l $2$ $18.461$ $$\Q(\sqrt{5})$$ None None $$0$$ $$1$$ $$1$$ $$5$$ $-$ $$q+\beta q^{3}+(-1+3\beta )q^{5}+(3-\beta )q^{7}+\cdots$$
2312.2.a.m $2$ $18.461$ $$\Q(\sqrt{5})$$ None None $$0$$ $$2$$ $$-4$$ $$-2$$ $+$ $$q+(1+\beta )q^{3}-2q^{5}+(-1-\beta )q^{7}+(3+\cdots)q^{9}+\cdots$$
2312.2.a.n $2$ $18.461$ $$\Q(\sqrt{13})$$ None None $$0$$ $$3$$ $$-1$$ $$-1$$ $-$ $$q+(1+\beta )q^{3}-\beta q^{5}-\beta q^{7}+(1+3\beta )q^{9}+\cdots$$
2312.2.a.o $3$ $18.461$ $$\Q(\zeta_{18})^+$$ None None $$0$$ $$-3$$ $$-6$$ $$-6$$ $+$ $$q+(-1-2\beta _{1}+\beta _{2})q^{3}+(-2-\beta _{1}+\cdots)q^{5}+\cdots$$
2312.2.a.p $3$ $18.461$ $$\Q(\zeta_{18})^+$$ None None $$0$$ $$-3$$ $$6$$ $$-3$$ $+$ $$q+(-1-\beta _{1})q^{3}+(2+\beta _{1}-\beta _{2})q^{5}+\cdots$$
2312.2.a.q $3$ $18.461$ $$\Q(\zeta_{18})^+$$ None None $$0$$ $$3$$ $$-6$$ $$3$$ $-$ $$q+(1+\beta _{1})q^{3}+(-2-\beta _{1}+\beta _{2})q^{5}+\cdots$$
2312.2.a.r $3$ $18.461$ $$\Q(\zeta_{18})^+$$ None None $$0$$ $$3$$ $$6$$ $$6$$ $-$ $$q+(1+2\beta _{1}-\beta _{2})q^{3}+(2+\beta _{1})q^{5}+(2+\cdots)q^{7}+\cdots$$
2312.2.a.s $4$ $18.461$ $$\Q(\zeta_{16})^+$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q+\beta _{1}q^{3}+\beta _{3}q^{5}+(-2\beta _{1}-\beta _{3})q^{7}+\cdots$$
2312.2.a.t $4$ $18.461$ $$\Q(\zeta_{16})^+$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q+(\beta _{1}+\beta _{3})q^{3}+(-2\beta _{1}+\beta _{3})q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots$$
2312.2.a.u $6$ $18.461$ 6.6.3418281.1 None None $$0$$ $$0$$ $$-6$$ $$-3$$ $+$ $$q-\beta _{1}q^{3}+(-1-\beta _{3})q^{5}+(-\beta _{1}-2\beta _{2}+\cdots)q^{7}+\cdots$$
2312.2.a.v $6$ $18.461$ 6.6.3418281.1 None None $$0$$ $$0$$ $$6$$ $$3$$ $-$ $$q+\beta _{1}q^{3}+(1+\beta _{3})q^{5}+(\beta _{1}+2\beta _{2}+\beta _{3}+\cdots)q^{7}+\cdots$$
2312.2.a.w $12$ $18.461$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\beta _{1}q^{3}-\beta _{10}q^{5}+\beta _{6}q^{7}+(2+\beta _{3}+\cdots)q^{9}+\cdots$$
2312.2.b.a $2$ $18.461$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2\beta q^{3}+\beta q^{5}+2\beta q^{7}-5q^{9}+2\beta q^{11}+\cdots$$
2312.2.b.b $2$ $18.461$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-q^{9}-iq^{11}-6q^{13}-4q^{19}+\cdots$$
2312.2.b.c $2$ $18.461$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}+iq^{5}-iq^{7}-q^{9}-3iq^{11}+\cdots$$
2312.2.b.d $2$ $18.461$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{3}+2\beta q^{5}-2\beta q^{7}+q^{9}+\beta q^{11}+\cdots$$
2312.2.b.e $2$ $18.461$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{3}-\beta q^{5}-\beta q^{7}+q^{9}+\beta q^{11}+\cdots$$
2312.2.b.f $2$ $18.461$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{3}-3\beta q^{5}+3\beta q^{7}+q^{9}+\beta q^{11}+\cdots$$
2312.2.b.g $4$ $18.461$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+\beta _{2}q^{5}+\beta _{1}q^{7}+(-3+\beta _{3})q^{9}+\cdots$$
2312.2.b.h $4$ $18.461$ $$\Q(i, \sqrt{13})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{2})q^{3}-\beta _{1}q^{5}+\beta _{1}q^{7}+(-4+\cdots)q^{9}+\cdots$$
2312.2.b.i $4$ $18.461$ 4.0.2048.2 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}+\beta _{3})q^{3}+(\beta _{1}-2\beta _{3})q^{5}+(\beta _{1}+\cdots)q^{7}+\cdots$$