## Results (50 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
8100.2.a.a $1$ $64.679$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $-$ $$q-2q^{7}-6q^{11}-5q^{13}+3q^{17}+2q^{19}+\cdots$$
8100.2.a.b $1$ $64.679$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $-$ $$q-2q^{7}-3q^{11}+4q^{13}+6q^{17}-7q^{19}+\cdots$$
8100.2.a.c $1$ $64.679$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $+$ $$q-2q^{7}-q^{11}-2q^{17}-3q^{19}+4q^{23}+\cdots$$
8100.2.a.d $1$ $64.679$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $+$ $$q-2q^{7}+q^{11}+2q^{17}-3q^{19}-4q^{23}+\cdots$$
8100.2.a.e $1$ $64.679$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $-$ $$q-2q^{7}+3q^{11}+4q^{13}-6q^{17}-7q^{19}+\cdots$$
8100.2.a.f $1$ $64.679$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $-$ $$q-2q^{7}+6q^{11}-5q^{13}-3q^{17}+2q^{19}+\cdots$$
8100.2.a.g $1$ $64.679$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$1$$ $+$ $$q+q^{7}-3q^{11}+q^{13}+6q^{17}-4q^{19}+\cdots$$
8100.2.a.h $1$ $64.679$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$1$$ $+$ $$q+q^{7}+4q^{13}-6q^{17}+2q^{19}-3q^{23}+\cdots$$
8100.2.a.i $1$ $64.679$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$1$$ $-$ $$q+q^{7}+4q^{13}+6q^{17}+2q^{19}+3q^{23}+\cdots$$
8100.2.a.j $1$ $64.679$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$1$$ $-$ $$q+q^{7}+3q^{11}+q^{13}-6q^{17}-4q^{19}+\cdots$$
8100.2.a.k $1$ $64.679$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$2$$ $+$ $$q+2q^{7}-q^{11}+2q^{17}-3q^{19}-4q^{23}+\cdots$$
8100.2.a.l $1$ $64.679$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$2$$ $+$ $$q+2q^{7}+q^{11}-2q^{17}-3q^{19}+4q^{23}+\cdots$$
8100.2.a.m $1$ $64.679$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$4$$ $-$ $$q+4q^{7}-3q^{11}+4q^{13}+5q^{19}-6q^{23}+\cdots$$
8100.2.a.n $1$ $64.679$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$4$$ $-$ $$q+4q^{7}+3q^{11}+4q^{13}+5q^{19}+6q^{23}+\cdots$$
8100.2.a.o $2$ $64.679$ $$\Q(\sqrt{5})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $-$ $$q+(-1-\beta )q^{7}+(-2-\beta )q^{11}+(3+\beta )q^{13}+\cdots$$
8100.2.a.p $2$ $64.679$ $$\Q(\sqrt{5})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $-$ $$q+(-1-\beta )q^{7}+(2+\beta )q^{11}+(3+\beta )q^{13}+\cdots$$
8100.2.a.q $2$ $64.679$ $$\Q(\sqrt{5})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $+$ $$q+(1+\beta )q^{7}+(-2-\beta )q^{11}+(-3-\beta )q^{13}+\cdots$$
8100.2.a.r $2$ $64.679$ $$\Q(\sqrt{5})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $+$ $$q+(1+\beta )q^{7}+(2+\beta )q^{11}+(-3-\beta )q^{13}+\cdots$$
8100.2.a.s $2$ $64.679$ $$\Q(\sqrt{3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $+$ $$q+(1+\beta )q^{7}-\beta q^{11}+(-2-2\beta )q^{13}+\cdots$$
8100.2.a.t $2$ $64.679$ $$\Q(\sqrt{3})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $+$ $$q+(1+\beta )q^{7}+\beta q^{11}+(-2-2\beta )q^{13}+\cdots$$
8100.2.a.u $3$ $64.679$ 3.3.564.1 None $$0$$ $$0$$ $$0$$ $$-3$$ $+$ $$q+(-1+\beta _{1})q^{7}+\beta _{2}q^{11}+(-2-\beta _{2})q^{13}+\cdots$$
8100.2.a.v $3$ $64.679$ 3.3.564.1 None $$0$$ $$0$$ $$0$$ $$-3$$ $-$ $$q+(-1+\beta _{1})q^{7}-\beta _{2}q^{11}+(-2-\beta _{2})q^{13}+\cdots$$
8100.2.a.w $4$ $64.679$ $$\Q(\sqrt{3}, \sqrt{7})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $+$ $$q+\beta _{2}q^{7}-\beta _{3}q^{11}+\beta _{2}q^{13}+(-\beta _{1}+\cdots)q^{17}+\cdots$$
8100.2.a.x $4$ $64.679$ 4.4.3981.1 None $$0$$ $$0$$ $$0$$ $$-1$$ $+$ $$q+\beta _{2}q^{7}+(-1-\beta _{2})q^{11}-\beta _{1}q^{13}+\cdots$$
8100.2.a.y $4$ $64.679$ 4.4.3981.1 None $$0$$ $$0$$ $$0$$ $$-1$$ $-$ $$q+\beta _{2}q^{7}+(1+\beta _{2})q^{11}-\beta _{1}q^{13}+(2+\cdots)q^{17}+\cdots$$
8100.2.a.z $4$ $64.679$ 4.4.3981.1 None $$0$$ $$0$$ $$0$$ $$1$$ $-$ $$q-\beta _{2}q^{7}+(-1-\beta _{2})q^{11}+\beta _{1}q^{13}+\cdots$$
8100.2.a.ba $4$ $64.679$ 4.4.3981.1 None $$0$$ $$0$$ $$0$$ $$1$$ $+$ $$q-\beta _{2}q^{7}+(1+\beta _{2})q^{11}+\beta _{1}q^{13}+(-2+\cdots)q^{17}+\cdots$$
8100.2.a.bb $4$ $64.679$ $$\Q(\sqrt{3}, \sqrt{7})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $-$ $$q-\beta _{2}q^{7}+\beta _{3}q^{11}-\beta _{2}q^{13}+(-\beta _{1}+\cdots)q^{17}+\cdots$$
8100.2.a.bc $6$ $64.679$ 6.6.1207701504.1 None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q-\beta _{3}q^{7}+\beta _{2}q^{11}+(-\beta _{1}+\beta _{4})q^{13}+\cdots$$
8100.2.a.bd $6$ $64.679$ 6.6.1207701504.1 None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q-\beta _{3}q^{7}-\beta _{2}q^{11}+(-\beta _{1}+\beta _{4})q^{13}+\cdots$$
8100.2.a.be $8$ $64.679$ 8.8.$$\cdots$$.1 None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\beta _{4}q^{7}+(-\beta _{2}+\beta _{7})q^{11}-\beta _{6}q^{13}+\cdots$$
8100.2.d.a $2$ $64.679$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{7}-6q^{11}-5iq^{13}-3iq^{17}+\cdots$$
8100.2.d.b $2$ $64.679$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{7}-3q^{11}-2iq^{13}-5q^{19}+\cdots$$
8100.2.d.c $2$ $64.679$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{7}-3q^{11}-iq^{13}+6iq^{17}+\cdots$$
8100.2.d.d $2$ $64.679$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{7}-3q^{11}+2iq^{13}-3iq^{17}+\cdots$$
8100.2.d.e $2$ $64.679$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{7}-4iq^{13}+6iq^{17}-2q^{19}+\cdots$$
8100.2.d.f $2$ $64.679$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{7}-4iq^{13}-6iq^{17}-2q^{19}+\cdots$$
8100.2.d.g $2$ $64.679$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{7}+3q^{11}-2iq^{13}-5q^{19}+\cdots$$
8100.2.d.h $2$ $64.679$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{7}+3q^{11}-iq^{13}-6iq^{17}+\cdots$$
8100.2.d.i $2$ $64.679$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{7}+3q^{11}+2iq^{13}+3iq^{17}+\cdots$$
8100.2.d.j $2$ $64.679$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{7}+6q^{11}-5iq^{13}+3iq^{17}+\cdots$$
8100.2.d.k $4$ $64.679$ $$\Q(i, \sqrt{5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{7}+(-2+\beta _{3})q^{11}+(2\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots$$
8100.2.d.l $4$ $64.679$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{3}q^{7}+\zeta_{12}q^{11}-2\zeta_{12}^{3}q^{13}+\cdots$$
8100.2.d.m $4$ $64.679$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}^{3}q^{7}-\zeta_{12}q^{11}-2\zeta_{12}^{3}q^{13}+\cdots$$
8100.2.d.n $4$ $64.679$ $$\Q(i, \sqrt{5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{7}+(2-\beta _{3})q^{11}+(2\beta _{1}-\beta _{2}+\cdots)q^{13}+\cdots$$
8100.2.d.o $6$ $64.679$ 6.0.5089536.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{3}+\beta _{4})q^{7}+\beta _{1}q^{11}+(-\beta _{3}-\beta _{5})q^{13}+\cdots$$
8100.2.d.p $6$ $64.679$ 6.0.5089536.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{3}+\beta _{4})q^{7}-\beta _{1}q^{11}+(-\beta _{3}-\beta _{5})q^{13}+\cdots$$
8100.2.d.q $8$ $64.679$ 8.0.4057180416.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{6}q^{7}+(-1-\beta _{1})q^{11}-\beta _{2}q^{13}+\cdots$$
8100.2.d.r $8$ $64.679$ 8.0.49787136.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{7}-\beta _{5}q^{11}-\beta _{1}q^{13}+\beta _{6}q^{17}+\cdots$$
8100.2.d.s $8$ $64.679$ 8.0.4057180416.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{6}q^{7}+(1+\beta _{1})q^{11}-\beta _{2}q^{13}+(2\beta _{3}+\cdots)q^{17}+\cdots$$