## Results (36 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
4140.2.a.a $1$ $33.058$ $$\Q$$ None $$0$$ $$0$$ $$-1$$ $$-4$$ $-$ $$q-q^{5}-4q^{7}+2q^{13}-6q^{17}+2q^{19}+\cdots$$
4140.2.a.b $1$ $33.058$ $$\Q$$ None $$0$$ $$0$$ $$-1$$ $$-3$$ $+$ $$q-q^{5}-3q^{7}+2q^{11}-2q^{13}+7q^{17}+\cdots$$
4140.2.a.c $1$ $33.058$ $$\Q$$ None $$0$$ $$0$$ $$-1$$ $$-2$$ $+$ $$q-q^{5}-2q^{7}+4q^{11}-2q^{13}-6q^{17}+\cdots$$
4140.2.a.d $1$ $33.058$ $$\Q$$ None $$0$$ $$0$$ $$-1$$ $$-2$$ $-$ $$q-q^{5}-2q^{7}+4q^{11}+q^{13}-4q^{19}+\cdots$$
4140.2.a.e $1$ $33.058$ $$\Q$$ None $$0$$ $$0$$ $$1$$ $$-5$$ $+$ $$q+q^{5}-5q^{7}+4q^{13}+3q^{17}-4q^{19}+\cdots$$
4140.2.a.f $1$ $33.058$ $$\Q$$ None $$0$$ $$0$$ $$1$$ $$-4$$ $-$ $$q+q^{5}-4q^{7}+6q^{11}-q^{13}+2q^{19}+\cdots$$
4140.2.a.g $1$ $33.058$ $$\Q$$ None $$0$$ $$0$$ $$1$$ $$-2$$ $+$ $$q+q^{5}-2q^{7}-4q^{11}-2q^{13}+6q^{17}+\cdots$$
4140.2.a.h $1$ $33.058$ $$\Q$$ None $$0$$ $$0$$ $$1$$ $$-1$$ $+$ $$q+q^{5}-q^{7}-6q^{11}+6q^{13}-7q^{17}+\cdots$$
4140.2.a.i $1$ $33.058$ $$\Q$$ None $$0$$ $$0$$ $$1$$ $$-1$$ $+$ $$q+q^{5}-q^{7}-4q^{13}+3q^{17}-4q^{19}+\cdots$$
4140.2.a.j $1$ $33.058$ $$\Q$$ None $$0$$ $$0$$ $$1$$ $$0$$ $+$ $$q+q^{5}-6q^{13}-2q^{17}+6q^{19}+q^{23}+\cdots$$
4140.2.a.k $1$ $33.058$ $$\Q$$ None $$0$$ $$0$$ $$1$$ $$2$$ $+$ $$q+q^{5}+2q^{7}-3q^{13}-4q^{17}-4q^{19}+\cdots$$
4140.2.a.l $2$ $33.058$ $$\Q(\sqrt{6})$$ None $$0$$ $$0$$ $$-2$$ $$-2$$ $+$ $$q-q^{5}+(-1+\beta )q^{7}+\beta q^{11}+(2-\beta )q^{13}+\cdots$$
4140.2.a.m $2$ $33.058$ $$\Q(\sqrt{17})$$ None $$0$$ $$0$$ $$-2$$ $$1$$ $+$ $$q-q^{5}+\beta q^{7}-2q^{11}+(-1-\beta )q^{13}+\cdots$$
4140.2.a.n $2$ $33.058$ $$\Q(\sqrt{17})$$ None $$0$$ $$0$$ $$-2$$ $$1$$ $+$ $$q-q^{5}+\beta q^{7}-2\beta q^{11}+2q^{13}+(-2+\cdots)q^{17}+\cdots$$
4140.2.a.o $2$ $33.058$ $$\Q(\sqrt{3})$$ None $$0$$ $$0$$ $$-2$$ $$2$$ $-$ $$q-q^{5}+(1+2\beta )q^{7}+(1+3\beta )q^{11}+(-5+\cdots)q^{13}+\cdots$$
4140.2.a.p $2$ $33.058$ $$\Q(\sqrt{15})$$ None $$0$$ $$0$$ $$-2$$ $$6$$ $-$ $$q-q^{5}+3q^{7}+(-1-\beta )q^{11}+(1-\beta )q^{13}+\cdots$$
4140.2.a.q $2$ $33.058$ $$\Q(\sqrt{6})$$ None $$0$$ $$0$$ $$2$$ $$-2$$ $+$ $$q+q^{5}+(-1+\beta )q^{7}-\beta q^{11}+(2-\beta )q^{13}+\cdots$$
4140.2.a.r $2$ $33.058$ $$\Q(\sqrt{6})$$ None $$0$$ $$0$$ $$2$$ $$2$$ $-$ $$q+q^{5}+q^{7}+(2-\beta )q^{11}-\beta q^{13}+(1+\cdots)q^{17}+\cdots$$
4140.2.a.s $3$ $33.058$ 3.3.3144.1 None $$0$$ $$0$$ $$3$$ $$2$$ $-$ $$q+q^{5}+(1-\beta _{1})q^{7}+(-1-\beta _{2})q^{11}+\cdots$$
4140.2.a.t $5$ $33.058$ 5.5.14345904.1 None $$0$$ $$0$$ $$-5$$ $$4$$ $-$ $$q-q^{5}+(1+\beta _{3})q^{7}+(-1+\beta _{4})q^{11}+\cdots$$
4140.2.a.u $5$ $33.058$ 5.5.14345904.1 None $$0$$ $$0$$ $$5$$ $$4$$ $-$ $$q+q^{5}+(1+\beta _{3})q^{7}+(1-\beta _{4})q^{11}+(1+\cdots)q^{13}+\cdots$$
4140.2.f.a $6$ $33.058$ 6.0.350464.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{4})q^{5}-\beta _{3}q^{7}+\beta _{1}q^{11}+(\beta _{3}+\cdots)q^{13}+\cdots$$
4140.2.f.b $12$ $33.058$ $$\mathbb{Q}[x]/(x^{12} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{8}q^{5}+(\beta _{1}+\beta _{6}-\beta _{10})q^{7}+(-1+\cdots)q^{11}+\cdots$$
4140.2.f.c $14$ $33.058$ $$\mathbb{Q}[x]/(x^{14} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{10}q^{5}+\beta _{13}q^{7}+(-1+\beta _{2}-\beta _{4}+\cdots)q^{11}+\cdots$$
4140.2.f.d $24$ $33.058$ None $$0$$ $$0$$ $$0$$ $$0$$
4140.2.i.a $16$ $33.058$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$-16$$ $$0$$ $$q-q^{5}-\beta _{9}q^{7}+\beta _{1}q^{11}-\beta _{5}q^{13}+\cdots$$
4140.2.i.b $16$ $33.058$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None $$0$$ $$0$$ $$16$$ $$0$$ $$q+q^{5}-\beta _{9}q^{7}-\beta _{1}q^{11}-\beta _{5}q^{13}+\cdots$$
4140.2.n.a $16$ $33.058$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ $$\Q(\sqrt{-115})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{5}-\beta _{12}q^{7}+(\beta _{5}-\beta _{7})q^{17}+\cdots$$
4140.2.n.b $32$ $33.058$ None $$0$$ $$0$$ $$0$$ $$0$$
4140.2.s.a $44$ $33.058$ None $$0$$ $$0$$ $$0$$ $$-12$$
4140.2.s.b $44$ $33.058$ None $$0$$ $$0$$ $$0$$ $$-4$$
4140.3.c.a $88$ $112.807$ None $$0$$ $$0$$ $$0$$ $$0$$
4140.3.d.a $16$ $112.807$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{4}q^{5}-\beta _{7}q^{7}+(-2\beta _{4}+\beta _{9})q^{11}+\cdots$$
4140.3.d.b $32$ $112.807$ None $$0$$ $$0$$ $$0$$ $$0$$
4140.3.d.c $32$ $112.807$ None $$0$$ $$0$$ $$0$$ $$0$$
4140.3.l.a $56$ $112.807$ None $$0$$ $$0$$ $$0$$ $$32$$