## Results (1-50 of 119 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1224.1.m.a $2$ $0.611$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-q^{5}-\beta q^{7}-q^{11}-q^{13}-q^{17}+\cdots$$
1224.1.m.b $2$ $0.611$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+q^{5}-\beta q^{7}+q^{11}-q^{13}+q^{17}+\cdots$$
1224.1.n.a $1$ $0.611$ $$\Q$$ $$\Q(\sqrt{-2})$$, $$\Q(\sqrt{-34})$$ $$\Q(\sqrt{17})$$ $$1$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}+q^{8}+q^{16}+q^{17}-2q^{19}+\cdots$$
1224.1.n.b $2$ $0.611$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-34})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-\beta q^{5}-\beta q^{7}-q^{8}+\beta q^{10}+\cdots$$
1224.1.n.c $2$ $0.611$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-34})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}-\beta q^{5}+\beta q^{7}+q^{8}-\beta q^{10}+\cdots$$
1224.1.s.a $2$ $0.611$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-q^{4}+iq^{8}+(-1-i)q^{11}+\cdots$$
1224.1.bb.a $2$ $0.611$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$-1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots$$
1224.1.bb.b $2$ $0.611$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$1$$ $$0$$ $$0$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}-\zeta_{6}q^{6}+\cdots$$
1224.1.bu.a $4$ $0.611$ $$\Q(\zeta_{8})$$ None $$\Q(\sqrt{2})$$ $$0$$ $$0$$ $$0$$ $$4$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(1-\zeta_{8}^{3})q^{7}-\zeta_{8}^{3}q^{8}+\cdots$$
1224.1.bu.b $4$ $0.611$ $$\Q(\zeta_{8})$$ None $$\Q(\sqrt{2})$$ $$0$$ $$0$$ $$0$$ $$4$$ $$q+\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(1-\zeta_{8}^{3})q^{7}+\zeta_{8}^{3}q^{8}+\cdots$$
1224.1.bv.a $4$ $0.611$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{8}+(1-\zeta_{8}+\cdots)q^{11}+\cdots$$
1224.1.cb.a $4$ $0.611$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+\zeta_{12}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{2}q^{6}+\cdots$$
1224.1.cb.b $4$ $0.611$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}-\zeta_{12}^{4}q^{3}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{5}q^{6}+\cdots$$
1224.1.cp.a $8$ $0.611$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}q^{2}-\zeta_{24}q^{3}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{2}q^{6}+\cdots$$
1224.1.cp.b $8$ $0.611$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}q^{2}-\zeta_{24}^{10}q^{3}+\zeta_{24}^{2}q^{4}+\cdots$$
1224.1.cx.a $16$ $0.611$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{48}^{5}q^{2}+\zeta_{48}^{14}q^{3}+\zeta_{48}^{10}q^{4}+\cdots$$
1224.1.cx.b $16$ $0.611$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{48}^{5}q^{2}+\zeta_{48}^{17}q^{3}+\zeta_{48}^{10}q^{4}+\cdots$$
1224.2.a.a $1$ $9.774$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$0$$ $+$ $$q-3q^{5}+q^{11}+3q^{13}+q^{17}+q^{19}+\cdots$$
1224.2.a.b $1$ $9.774$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$-4$$ $-$ $$q-2q^{5}-4q^{7}-4q^{11}+6q^{13}-q^{17}+\cdots$$
1224.2.a.c $1$ $9.774$ $$\Q$$ None None $$0$$ $$0$$ $$-1$$ $$-2$$ $+$ $$q-q^{5}-2q^{7}+3q^{11}-q^{13}-q^{17}+\cdots$$
1224.2.a.d $1$ $9.774$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q-2q^{11}-6q^{13}+q^{17}+4q^{19}-4q^{23}+\cdots$$
1224.2.a.e $1$ $9.774$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $-$ $$q+2q^{7}+2q^{13}+q^{17}+4q^{19}-2q^{23}+\cdots$$
1224.2.a.f $1$ $9.774$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$-2$$ $+$ $$q+q^{5}-2q^{7}-3q^{11}-q^{13}+q^{17}+\cdots$$
1224.2.a.g $1$ $9.774$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$-2$$ $-$ $$q+2q^{5}-2q^{7}+6q^{11}+2q^{13}-q^{17}+\cdots$$
1224.2.a.h $1$ $9.774$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$-4$$ $+$ $$q+3q^{5}-4q^{7}-q^{11}-5q^{13}-q^{17}+\cdots$$
1224.2.a.i $2$ $9.774$ $$\Q(\sqrt{5})$$ None None $$0$$ $$0$$ $$-4$$ $$2$$ $+$ $$q-2q^{5}+(1-\beta )q^{7}+(-1+\beta )q^{11}+\cdots$$
1224.2.a.j $2$ $9.774$ $$\Q(\sqrt{17})$$ None None $$0$$ $$0$$ $$1$$ $$-2$$ $-$ $$q+\beta q^{5}+(-2+2\beta )q^{7}+(4+\beta )q^{11}+\cdots$$
1224.2.a.k $2$ $9.774$ $$\Q(\sqrt{57})$$ None None $$0$$ $$0$$ $$1$$ $$8$$ $-$ $$q+\beta q^{5}+4q^{7}+(2-\beta )q^{11}+\beta q^{13}+\cdots$$
1224.2.a.l $3$ $9.774$ 3.3.1304.1 None None $$0$$ $$0$$ $$-1$$ $$2$$ $-$ $$q+(\beta _{1}+\beta _{2})q^{5}+(1+\beta _{2})q^{7}+(1+\beta _{1}+\cdots)q^{11}+\cdots$$
1224.2.a.m $3$ $9.774$ 3.3.1304.1 None None $$0$$ $$0$$ $$1$$ $$2$$ $-$ $$q+(-\beta _{1}-\beta _{2})q^{5}+(1+\beta _{2})q^{7}+(-1+\cdots)q^{11}+\cdots$$
1224.2.c.a $2$ $9.774$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+3iq^{5}-4iq^{7}+iq^{11}-5q^{13}+\cdots$$
1224.2.c.b $2$ $9.774$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+3iq^{5}+4iq^{7}+iq^{11}-5q^{13}+\cdots$$
1224.2.c.c $2$ $9.774$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{7}+iq^{11}-2q^{13}+(-1-2i)q^{17}+\cdots$$
1224.2.c.d $2$ $9.774$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{5}-\beta q^{7}-2\beta q^{11}+2q^{13}+(-3+\cdots)q^{17}+\cdots$$
1224.2.c.e $2$ $9.774$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{5}-\beta q^{7}-2\beta q^{11}+2q^{13}+(3+\cdots)q^{17}+\cdots$$
1224.2.c.f $2$ $9.774$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{5}+\beta q^{7}-2\beta q^{11}+2q^{13}+(3+\cdots)q^{17}+\cdots$$
1224.2.c.g $4$ $9.774$ $$\Q(i, \sqrt{33})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{1}-\beta _{2})q^{5}-\beta _{2}q^{7}-\beta _{1}q^{11}+\cdots$$
1224.2.c.h $6$ $9.774$ 6.0.399424.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{5}+(\beta _{2}+\beta _{5})q^{7}-\beta _{5}q^{11}+(-\beta _{1}+\cdots)q^{13}+\cdots$$
1224.2.f.a $2$ $9.774$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$0$$ $$0$$ $$-8$$ $$q+(1+i)q^{2}+2iq^{4}+4iq^{5}-4q^{7}+\cdots$$
1224.2.f.b $4$ $9.774$ $$\Q(i, \sqrt{5})$$ None None $$-4$$ $$0$$ $$0$$ $$4$$ $$q+(-1-\beta _{1})q^{2}+2\beta _{1}q^{4}+(-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots$$
1224.2.f.c $8$ $9.774$ 8.0.4469724736.1 None None $$1$$ $$0$$ $$0$$ $$-12$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{1}-\beta _{2}-\beta _{7})q^{5}+\cdots$$
1224.2.f.d $8$ $9.774$ 8.0.1649659456.5 None None $$1$$ $$0$$ $$0$$ $$8$$ $$q+\beta _{4}q^{2}+(-\beta _{2}+\beta _{4}+\beta _{6})q^{4}+(\beta _{3}+\cdots)q^{5}+\cdots$$
1224.2.f.e $12$ $9.774$ 12.0.$$\cdots$$.1 None None $$2$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{2}-\beta _{8}q^{4}+(\beta _{1}-\beta _{3}-\beta _{5}-\beta _{8}+\cdots)q^{5}+\cdots$$
1224.2.f.f $14$ $9.774$ $$\mathbb{Q}[x]/(x^{14} - \cdots)$$ None None $$-4$$ $$0$$ $$0$$ $$12$$ $$q+\beta _{4}q^{2}-\beta _{2}q^{4}-\beta _{3}q^{5}+(\beta _{1}-\beta _{8}+\cdots)q^{7}+\cdots$$
1224.2.f.g $16$ $9.774$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q-\beta _{1}q^{2}+\beta _{2}q^{4}+\beta _{4}q^{5}+\beta _{5}q^{7}+\cdots$$
1224.2.f.h $16$ $9.774$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$q+\beta _{8}q^{2}-\beta _{5}q^{4}+\beta _{4}q^{5}+\beta _{9}q^{7}+\cdots$$
1224.2.h.a $8$ $9.774$ 8.0.$$\cdots$$.11 $$\Q(\sqrt{-34})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}-2q^{4}+\beta _{2}q^{5}-\beta _{4}q^{7}+2\beta _{1}q^{8}+\cdots$$
1224.2.h.b $8$ $9.774$ 8.0.$$\cdots$$.11 $$\Q(\sqrt{-34})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}-2q^{4}+\beta _{4}q^{5}+\beta _{6}q^{7}-2\beta _{1}q^{8}+\cdots$$
1224.2.h.c $56$ $9.774$ None None $$0$$ $$0$$ $$0$$ $$0$$
1224.2.j.a $64$ $9.774$ None None $$0$$ $$0$$ $$0$$ $$0$$