## Results (1-50 of 277 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
560.1.p.a $1$ $0.279$ $$\Q$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$-1$$ $$-1$$ $$1$$ $$q-q^{3}-q^{5}+q^{7}+q^{11}+q^{13}+q^{15}+\cdots$$
560.1.p.b $1$ $0.279$ $$\Q$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$1$$ $$1$$ $$-1$$ $$q+q^{3}+q^{5}-q^{7}+q^{11}-q^{13}+q^{15}+\cdots$$
560.1.bt.a $4$ $0.279$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(-\zeta_{12}^{3}-\zeta_{12}^{5})q^{3}+\zeta_{12}^{2}q^{5}+\cdots$$
560.2.a.a $1$ $4.472$ $$\Q$$ None None $$0$$ $$-3$$ $$-1$$ $$1$$ $+$ $$q-3q^{3}-q^{5}+q^{7}+6q^{9}+5q^{11}+\cdots$$
560.2.a.b $1$ $4.472$ $$\Q$$ None None $$0$$ $$-1$$ $$-1$$ $$-1$$ $-$ $$q-q^{3}-q^{5}-q^{7}-2q^{9}+3q^{11}+5q^{13}+\cdots$$
560.2.a.c $1$ $4.472$ $$\Q$$ None None $$0$$ $$-1$$ $$1$$ $$-1$$ $+$ $$q-q^{3}+q^{5}-q^{7}-2q^{9}-3q^{11}-q^{13}+\cdots$$
560.2.a.d $1$ $4.472$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$1$$ $+$ $$q-q^{5}+q^{7}-3q^{9}-4q^{11}-6q^{13}+\cdots$$
560.2.a.e $1$ $4.472$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$1$$ $-$ $$q+q^{3}-q^{5}+q^{7}-2q^{9}+5q^{11}+q^{13}+\cdots$$
560.2.a.f $1$ $4.472$ $$\Q$$ None None $$0$$ $$3$$ $$1$$ $$-1$$ $-$ $$q+3q^{3}+q^{5}-q^{7}+6q^{9}+5q^{11}+\cdots$$
560.2.a.g $2$ $4.472$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$2$$ $$-2$$ $-$ $$q-\beta q^{3}+q^{5}-q^{7}+(1+\beta )q^{9}+\beta q^{11}+\cdots$$
560.2.a.h $2$ $4.472$ $$\Q(\sqrt{33})$$ None None $$0$$ $$1$$ $$-2$$ $$2$$ $-$ $$q+\beta q^{3}-q^{5}+q^{7}+(5+\beta )q^{9}+(-4+\cdots)q^{11}+\cdots$$
560.2.a.i $2$ $4.472$ $$\Q(\sqrt{17})$$ None None $$0$$ $$1$$ $$2$$ $$2$$ $-$ $$q+\beta q^{3}+q^{5}+q^{7}+(1+\beta )q^{9}-\beta q^{11}+\cdots$$
560.2.e.a $4$ $4.472$ $$\Q(\sqrt{5}, \sqrt{-7})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{3}+\beta _{1}q^{5}+\beta _{2}q^{7}-4q^{9}+\beta _{3}q^{11}+\cdots$$
560.2.e.b $4$ $4.472$ $$\Q(\sqrt{-2}, \sqrt{-5})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{3}+\beta _{3}q^{5}+(\beta _{1}-2\beta _{2})q^{7}+q^{9}+\cdots$$
560.2.e.c $8$ $4.472$ 8.0.121550625.1 $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{6}q^{3}-\beta _{2}q^{5}+(\beta _{1}-\beta _{6})q^{7}+(-3+\cdots)q^{9}+\cdots$$
560.2.e.d $8$ $4.472$ 8.0.$$\cdots$$.5 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{3}+\beta _{4}q^{5}+\beta _{1}q^{7}+q^{9}+2\beta _{3}q^{11}+\cdots$$
560.2.g.a $2$ $4.472$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+3iq^{3}+(-2-i)q^{5}-iq^{7}-6q^{9}+\cdots$$
560.2.g.b $2$ $4.472$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q+iq^{3}+(-2-i)q^{5}+iq^{7}+2q^{9}+\cdots$$
560.2.g.c $2$ $4.472$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(1+2i)q^{5}-iq^{7}+3q^{9}-4iq^{13}+\cdots$$
560.2.g.d $2$ $4.472$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+iq^{3}+(2+i)q^{5}+iq^{7}+2q^{9}+q^{11}+\cdots$$
560.2.g.e $4$ $4.472$ $$\Q(i, \sqrt{6})$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $$q+(\beta _{1}+\beta _{3})q^{3}+(1+\beta _{1}-\beta _{2})q^{5}-\beta _{2}q^{7}+\cdots$$
560.2.g.f $6$ $4.472$ 6.0.5161984.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{3}+(\beta _{2}+\beta _{5})q^{5}+\beta _{4}q^{7}+(-1+\cdots)q^{9}+\cdots$$
560.2.k.a $8$ $4.472$ 8.0.303595776.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{6}q^{3}+\beta _{4}q^{5}+(-\beta _{1}+\beta _{5}-\beta _{6}+\cdots)q^{7}+\cdots$$
560.2.k.b $8$ $4.472$ 8.0.$$\cdots$$.7 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{7}q^{3}+\beta _{3}q^{5}+(\beta _{4}-\beta _{6})q^{7}+(1+\cdots)q^{9}+\cdots$$
560.2.q.a $2$ $4.472$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$1$$ $$-1$$ $$q+(-3+3\zeta_{6})q^{3}+\zeta_{6}q^{5}+(1-3\zeta_{6})q^{7}+\cdots$$
560.2.q.b $2$ $4.472$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-2$$ $$-1$$ $$4$$ $$q+(-2+2\zeta_{6})q^{3}-\zeta_{6}q^{5}+(3-2\zeta_{6})q^{7}+\cdots$$
560.2.q.c $2$ $4.472$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-2$$ $$1$$ $$-4$$ $$q+(-2+2\zeta_{6})q^{3}+\zeta_{6}q^{5}+(-3+2\zeta_{6})q^{7}+\cdots$$
560.2.q.d $2$ $4.472$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-2$$ $$1$$ $$4$$ $$q+(-2+2\zeta_{6})q^{3}+\zeta_{6}q^{5}+(1+2\zeta_{6})q^{7}+\cdots$$
560.2.q.e $2$ $4.472$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-1$$ $$1$$ $$-1$$ $$q+(-1+\zeta_{6})q^{3}+\zeta_{6}q^{5}+(1-3\zeta_{6})q^{7}+\cdots$$
560.2.q.f $2$ $4.472$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$1$$ $$-5$$ $$q+(1-\zeta_{6})q^{3}+\zeta_{6}q^{5}+(-3+\zeta_{6})q^{7}+\cdots$$
560.2.q.g $2$ $4.472$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$1$$ $$1$$ $$q+(1-\zeta_{6})q^{3}+\zeta_{6}q^{5}+(-1+3\zeta_{6})q^{7}+\cdots$$
560.2.q.h $2$ $4.472$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$1$$ $$5$$ $$q+(1-\zeta_{6})q^{3}+\zeta_{6}q^{5}+(3-\zeta_{6})q^{7}+\cdots$$
560.2.q.i $2$ $4.472$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$3$$ $$1$$ $$-1$$ $$q+(3-3\zeta_{6})q^{3}+\zeta_{6}q^{5}+(1-3\zeta_{6})q^{7}+\cdots$$
560.2.q.j $4$ $4.472$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$-2$$ $$-2$$ $$2$$ $$q+(-1+\beta _{1}-\beta _{2})q^{3}+\beta _{2}q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots$$
560.2.q.k $4$ $4.472$ $$\Q(\sqrt{2}, \sqrt{-3})$$ None None $$0$$ $$2$$ $$-2$$ $$-2$$ $$q+(1+\beta _{1}+\beta _{2})q^{3}+\beta _{2}q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots$$
560.2.q.l $6$ $4.472$ 6.0.11337408.1 None None $$0$$ $$0$$ $$-3$$ $$-6$$ $$q+(\beta _{3}+\beta _{4}-\beta _{5})q^{3}-\beta _{2}q^{5}+(-1+\cdots)q^{7}+\cdots$$
560.2.r.a $184$ $4.472$ None None $$-4$$ $$0$$ $$0$$ $$0$$
560.2.t.a $144$ $4.472$ None None $$0$$ $$0$$ $$0$$ $$0$$
560.2.x.a $12$ $4.472$ 12.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{4}-\beta _{8})q^{3}+(-\beta _{6}+\beta _{9})q^{5}+\cdots$$
560.2.x.b $24$ $4.472$ None None $$0$$ $$0$$ $$0$$ $$0$$
560.2.bb.a $2$ $4.472$ $$\Q(\sqrt{-1})$$ None None $$-2$$ $$-2$$ $$-2$$ $$2$$ $$q+(-1-i)q^{2}+(-1-i)q^{3}+2iq^{4}+\cdots$$
560.2.bb.b $2$ $4.472$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$2$$ $$4$$ $$-2$$ $$q+(1+i)q^{2}+(1+i)q^{3}+2iq^{4}+(2+\cdots)q^{5}+\cdots$$
560.2.bb.c $70$ $4.472$ None None $$-2$$ $$-2$$ $$-4$$ $$-70$$
560.2.bb.d $70$ $4.472$ None None $$2$$ $$2$$ $$2$$ $$70$$
560.2.bc.a $128$ $4.472$ None None $$0$$ $$0$$ $$0$$ $$0$$
560.2.bd.a $44$ $4.472$ None None $$0$$ $$0$$ $$0$$ $$0$$
560.2.bd.b $52$ $4.472$ None None $$0$$ $$0$$ $$0$$ $$0$$
560.2.be.a $184$ $4.472$ None None $$0$$ $$0$$ $$0$$ $$0$$
560.2.bj.a $4$ $4.472$ $$\Q(i, \sqrt{10})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{1}q^{3}+\beta _{1}q^{5}+(-1-\beta _{2}+\beta _{3})q^{7}+\cdots$$
560.2.bj.b $8$ $4.472$ 8.0.$$\cdots$$.3 None None $$0$$ $$0$$ $$0$$ $$2$$ $$q+\beta _{1}q^{3}+(\beta _{2}-\beta _{6})q^{5}+(-\beta _{4}+\beta _{6}+\cdots)q^{7}+\cdots$$