## Results (49 matches)

Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
6900.2.a.a $1$ $55.097$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$-3$$ $-$ $$q-q^{3}-3q^{7}+q^{9}-5q^{11}-q^{13}+\cdots$$
6900.2.a.b $1$ $55.097$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$1$$ $+$ $$q-q^{3}+q^{7}+q^{9}+4q^{13}+3q^{17}+\cdots$$
6900.2.a.c $1$ $55.097$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$3$$ $-$ $$q-q^{3}+3q^{7}+q^{9}-2q^{11}+2q^{13}+\cdots$$
6900.2.a.d $1$ $55.097$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$3$$ $+$ $$q-q^{3}+3q^{7}+q^{9}+q^{11}-q^{13}-5q^{19}+\cdots$$
6900.2.a.e $1$ $55.097$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$4$$ $+$ $$q-q^{3}+4q^{7}+q^{9}-2q^{13}-6q^{17}+\cdots$$
6900.2.a.f $1$ $55.097$ $$\Q$$ None $$0$$ $$1$$ $$0$$ $$-3$$ $-$ $$q+q^{3}-3q^{7}+q^{9}+q^{11}+q^{13}-5q^{19}+\cdots$$
6900.2.a.g $1$ $55.097$ $$\Q$$ None $$0$$ $$1$$ $$0$$ $$0$$ $-$ $$q+q^{3}+q^{9}+6q^{13}-2q^{17}+6q^{19}+\cdots$$
6900.2.a.h $1$ $55.097$ $$\Q$$ None $$0$$ $$1$$ $$0$$ $$3$$ $+$ $$q+q^{3}+3q^{7}+q^{9}-5q^{11}+q^{13}+\cdots$$
6900.2.a.i $1$ $55.097$ $$\Q$$ None $$0$$ $$1$$ $$0$$ $$5$$ $-$ $$q+q^{3}+5q^{7}+q^{9}-4q^{13}+3q^{17}+\cdots$$
6900.2.a.j $2$ $55.097$ $$\Q(\sqrt{15})$$ None $$0$$ $$-2$$ $$0$$ $$-6$$ $+$ $$q-q^{3}-3q^{7}+q^{9}+(1-\beta )q^{11}+(-1+\cdots)q^{13}+\cdots$$
6900.2.a.k $2$ $55.097$ $$\Q(\sqrt{13})$$ None $$0$$ $$-2$$ $$0$$ $$-5$$ $+$ $$q-q^{3}+(-2-\beta )q^{7}+q^{9}+\beta q^{11}+\cdots$$
6900.2.a.l $2$ $55.097$ $$\Q(\sqrt{13})$$ None $$0$$ $$-2$$ $$0$$ $$-5$$ $+$ $$q-q^{3}+(-2-\beta )q^{7}+q^{9}+(2+\beta )q^{11}+\cdots$$
6900.2.a.m $2$ $55.097$ $$\Q(\sqrt{2})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q-q^{3}+\beta q^{7}+q^{9}+4\beta q^{11}-4\beta q^{13}+\cdots$$
6900.2.a.n $2$ $55.097$ $$\Q(\sqrt{73})$$ None $$0$$ $$-2$$ $$0$$ $$2$$ $+$ $$q-q^{3}+q^{7}+q^{9}+(-1+\beta )q^{11}+q^{13}+\cdots$$
6900.2.a.o $2$ $55.097$ $$\Q(\sqrt{21})$$ None $$0$$ $$-2$$ $$0$$ $$3$$ $-$ $$q-q^{3}+(1+\beta )q^{7}+q^{9}+(1-\beta )q^{11}+\cdots$$
6900.2.a.p $2$ $55.097$ $$\Q(\sqrt{10})$$ None $$0$$ $$2$$ $$0$$ $$-4$$ $-$ $$q+q^{3}+(-2+\beta )q^{7}+q^{9}-4q^{13}+\cdots$$
6900.2.a.q $2$ $55.097$ $$\Q(\sqrt{21})$$ None $$0$$ $$2$$ $$0$$ $$-3$$ $+$ $$q+q^{3}+(-1-\beta )q^{7}+q^{9}+(1-\beta )q^{11}+\cdots$$
6900.2.a.r $2$ $55.097$ $$\Q(\sqrt{6})$$ None $$0$$ $$2$$ $$0$$ $$-2$$ $+$ $$q+q^{3}-q^{7}+q^{9}+(-2-\beta )q^{11}-\beta q^{13}+\cdots$$
6900.2.a.s $2$ $55.097$ $$\Q(\sqrt{3})$$ None $$0$$ $$2$$ $$0$$ $$-2$$ $-$ $$q+q^{3}+(-1+2\beta )q^{7}+q^{9}+(-1+3\beta )q^{11}+\cdots$$
6900.2.a.t $2$ $55.097$ $$\Q(\sqrt{73})$$ None $$0$$ $$2$$ $$0$$ $$-2$$ $-$ $$q+q^{3}-q^{7}+q^{9}+(-1+\beta )q^{11}-q^{13}+\cdots$$
6900.2.a.u $2$ $55.097$ $$\Q(\sqrt{17})$$ None $$0$$ $$2$$ $$0$$ $$-1$$ $+$ $$q+q^{3}-\beta q^{7}+q^{9}+2\beta q^{11}-2q^{13}+\cdots$$
6900.2.a.v $2$ $55.097$ $$\Q(\sqrt{13})$$ None $$0$$ $$2$$ $$0$$ $$5$$ $-$ $$q+q^{3}+(3-\beta )q^{7}+q^{9}+(1-\beta )q^{11}+\cdots$$
6900.2.a.w $2$ $55.097$ $$\Q(\sqrt{13})$$ None $$0$$ $$2$$ $$0$$ $$5$$ $-$ $$q+q^{3}+(3-\beta )q^{7}+q^{9}+(3-\beta )q^{11}+\cdots$$
6900.2.a.x $3$ $55.097$ 3.3.3144.1 None $$0$$ $$-3$$ $$0$$ $$-2$$ $-$ $$q-q^{3}+(-1+\beta _{1})q^{7}+q^{9}+(1+\beta _{2})q^{11}+\cdots$$
6900.2.a.y $3$ $55.097$ 3.3.148.1 None $$0$$ $$-3$$ $$0$$ $$3$$ $+$ $$q-q^{3}+q^{7}+q^{9}-\beta _{2}q^{11}+(1-\beta _{1}+\cdots)q^{13}+\cdots$$
6900.2.a.z $3$ $55.097$ 3.3.148.1 None $$0$$ $$3$$ $$0$$ $$-3$$ $+$ $$q+q^{3}-q^{7}+q^{9}-\beta _{2}q^{11}+(-1+\beta _{1}+\cdots)q^{13}+\cdots$$
6900.2.a.ba $4$ $55.097$ 4.4.175557.1 None $$0$$ $$-4$$ $$0$$ $$3$$ $-$ $$q-q^{3}+(1-\beta _{1}-\beta _{3})q^{7}+q^{9}-\beta _{1}q^{11}+\cdots$$
6900.2.a.bb $4$ $55.097$ 4.4.175557.1 None $$0$$ $$4$$ $$0$$ $$-3$$ $+$ $$q+q^{3}+(-1+\beta _{1}+\beta _{3})q^{7}+q^{9}-\beta _{1}q^{11}+\cdots$$
6900.2.a.bc $7$ $55.097$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None $$0$$ $$-7$$ $$0$$ $$1$$ $-$ $$q-q^{3}-\beta _{1}q^{7}+q^{9}+(\beta _{1}-\beta _{2}-\beta _{4}+\cdots)q^{11}+\cdots$$
6900.2.a.bd $7$ $55.097$ $$\mathbb{Q}[x]/(x^{7} - \cdots)$$ None $$0$$ $$7$$ $$0$$ $$-1$$ $-$ $$q+q^{3}+\beta _{1}q^{7}+q^{9}+(\beta _{1}-\beta _{2}-\beta _{4}+\cdots)q^{11}+\cdots$$
6900.2.f.a $2$ $55.097$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}+3iq^{7}-q^{9}-5q^{11}-iq^{13}+\cdots$$
6900.2.f.b $2$ $55.097$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}+3iq^{7}-q^{9}-2q^{11}-2iq^{13}+\cdots$$
6900.2.f.c $2$ $55.097$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-q^{9}+6iq^{13}+2iq^{17}-6q^{19}+\cdots$$
6900.2.f.d $2$ $55.097$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}+4iq^{7}-q^{9}+2iq^{13}-6iq^{17}+\cdots$$
6900.2.f.e $2$ $55.097$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}+iq^{7}-q^{9}-4iq^{13}+3iq^{17}+\cdots$$
6900.2.f.f $2$ $55.097$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}+5iq^{7}-q^{9}+4iq^{13}+3iq^{17}+\cdots$$
6900.2.f.g $2$ $55.097$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}+3iq^{7}-q^{9}+q^{11}+iq^{13}+\cdots$$
6900.2.f.h $4$ $55.097$ $$\Q(i, \sqrt{6})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{3}-\beta _{1}q^{7}-q^{9}+(-2+\beta _{3})q^{11}+\cdots$$
6900.2.f.i $4$ $55.097$ $$\Q(\zeta_{12})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{3}+(\zeta_{12}-2\zeta_{12}^{2})q^{7}-q^{9}+\cdots$$
6900.2.f.j $4$ $55.097$ $$\Q(i, \sqrt{73})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{3}-\beta _{2}q^{7}-q^{9}+(-1+\beta _{3})q^{11}+\cdots$$
6900.2.f.k $4$ $55.097$ $$\Q(i, \sqrt{10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+(2\beta _{1}-\beta _{2})q^{7}-q^{9}-4\beta _{1}q^{13}+\cdots$$
6900.2.f.l $4$ $55.097$ $$\Q(\zeta_{8})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}q^{3}-\zeta_{8}^{2}q^{7}-q^{9}-4\zeta_{8}^{3}q^{11}+\cdots$$
6900.2.f.m $4$ $55.097$ $$\Q(i, \sqrt{13})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{3}+(\beta _{1}+3\beta _{2})q^{7}-q^{9}+\beta _{3}q^{11}+\cdots$$
6900.2.f.n $4$ $55.097$ $$\Q(i, \sqrt{21})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{3}+(\beta _{1}-\beta _{2})q^{7}-q^{9}+\beta _{3}q^{11}+\cdots$$
6900.2.f.o $4$ $55.097$ $$\Q(i, \sqrt{15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{3}+3\beta _{1}q^{7}-q^{9}+(1+\beta _{2})q^{11}+\cdots$$
6900.2.f.p $4$ $55.097$ $$\Q(i, \sqrt{17})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{3}+\beta _{1}q^{7}-q^{9}+(2-2\beta _{3})q^{11}+\cdots$$
6900.2.f.q $4$ $55.097$ $$\Q(i, \sqrt{13})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{3}+(\beta _{1}+3\beta _{2})q^{7}-q^{9}+(2+\beta _{3})q^{11}+\cdots$$
6900.2.f.r $6$ $55.097$ 6.0.158155776.1 None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{3}+(-\beta _{2}-\beta _{5})q^{7}-q^{9}+(1+\cdots)q^{11}+\cdots$$
6900.2.f.s $8$ $55.097$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{4}q^{3}+(-\beta _{4}+\beta _{5})q^{7}-q^{9}+\beta _{2}q^{11}+\cdots$$