## Results (1-50 of 207 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
936.1.o.a $1$ $0.467$ $$\Q$$ $$\Q(\sqrt{-26})$$ None $$-1$$ $$0$$ $$1$$ $$-1$$ $$q-q^{2}+q^{4}+q^{5}-q^{7}-q^{8}-q^{10}+\cdots$$
936.1.o.b $1$ $0.467$ $$\Q$$ $$\Q(\sqrt{-26})$$ None $$1$$ $$0$$ $$-1$$ $$1$$ $$q+q^{2}+q^{4}-q^{5}+q^{7}+q^{8}-q^{10}+\cdots$$
936.1.o.c $4$ $0.467$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots$$
936.1.bs.a $6$ $0.467$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-26})$$ None $$-3$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{18}^{3}q^{2}+\zeta_{18}^{8}q^{3}+\zeta_{18}^{6}q^{4}+\cdots$$
936.1.bs.b $6$ $0.467$ $$\Q(\zeta_{18})$$ $$\Q(\sqrt{-26})$$ None $$3$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{18}^{3}q^{2}+\zeta_{18}^{8}q^{3}+\zeta_{18}^{6}q^{4}+\cdots$$
936.1.dm.a $4$ $0.467$ $$\Q(\zeta_{12})$$ None None $$0$$ $$-2$$ $$0$$ $$-2$$ $$q-\zeta_{12}^{2}q^{3}+(-\zeta_{12}+\zeta_{12}^{4})q^{7}+\zeta_{12}^{4}q^{9}+\cdots$$
936.1.dm.b $4$ $0.467$ $$\Q(\zeta_{12})$$ None None $$0$$ $$2$$ $$2$$ $$0$$ $$q+\zeta_{12}^{2}q^{3}+(\zeta_{12}^{2}-\zeta_{12}^{5})q^{5}+\zeta_{12}^{4}q^{9}+\cdots$$
936.2.a.a $1$ $7.474$ $$\Q$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $-$ $$q-4q^{5}+2q^{11}-q^{13}-2q^{17}+8q^{19}+\cdots$$
936.2.a.b $1$ $7.474$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $+$ $$q-2q^{5}+q^{13}-2q^{17}-4q^{19}-q^{25}+\cdots$$
936.2.a.c $1$ $7.474$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$2$$ $+$ $$q-2q^{5}+2q^{7}-4q^{11}-q^{13}-2q^{19}+\cdots$$
936.2.a.d $1$ $7.474$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $+$ $$q-4q^{7}+2q^{11}-q^{13}+6q^{17}-4q^{19}+\cdots$$
936.2.a.e $1$ $7.474$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q-6q^{11}-q^{13}-2q^{17}-4q^{23}-5q^{25}+\cdots$$
936.2.a.f $1$ $7.474$ $$\Q$$ None None $$0$$ $$0$$ $$1$$ $$5$$ $-$ $$q+q^{5}+5q^{7}+2q^{11}-q^{13}+3q^{17}+\cdots$$
936.2.a.g $1$ $7.474$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$2$$ $-$ $$q+2q^{5}+2q^{7}+4q^{11}-q^{13}-2q^{19}+\cdots$$
936.2.a.h $1$ $7.474$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$4$$ $-$ $$q+2q^{5}+4q^{7}+q^{13}-2q^{17}+8q^{19}+\cdots$$
936.2.a.i $1$ $7.474$ $$\Q$$ None None $$0$$ $$0$$ $$4$$ $$-4$$ $-$ $$q+4q^{5}-4q^{7}+2q^{11}-q^{13}+6q^{17}+\cdots$$
936.2.a.j $2$ $7.474$ $$\Q(\sqrt{17})$$ None None $$0$$ $$0$$ $$-3$$ $$-1$$ $-$ $$q+(-1-\beta )q^{5}+(-1+\beta )q^{7}+(2-2\beta )q^{11}+\cdots$$
936.2.a.k $2$ $7.474$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $+$ $$q+\beta q^{5}+(-2-\beta )q^{7}+(-2-\beta )q^{11}+\cdots$$
936.2.a.l $2$ $7.474$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $-$ $$q+\beta q^{5}+(-2+\beta )q^{7}+(2-\beta )q^{11}+\cdots$$
936.2.c.a $2$ $7.474$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{5}-iq^{7}+2iq^{11}+(-3+i)q^{13}+\cdots$$
936.2.c.b $2$ $7.474$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{7}+iq^{11}+(3-i)q^{13}-2q^{17}+\cdots$$
936.2.c.c $2$ $7.474$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{5}+iq^{7}+iq^{11}+(3-i)q^{13}+\cdots$$
936.2.c.d $4$ $7.474$ $$\Q(i, \sqrt{17})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{5}+(-\beta _{1}+\beta _{2})q^{7}+(-2\beta _{1}+\cdots)q^{11}+\cdots$$
936.2.c.e $8$ $7.474$ 8.0.40960000.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{5}+\beta _{1}q^{7}+(-\beta _{2}+\beta _{4})q^{11}+\cdots$$
936.2.g.a $2$ $7.474$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$0$$ $$0$$ $$6$$ $$q+(1+i)q^{2}+2iq^{4}+3iq^{5}+3q^{7}+\cdots$$
936.2.g.b $4$ $7.474$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$0$$ $$-12$$ $$q+(-\zeta_{12}+\zeta_{12}^{2})q^{2}+(\zeta_{12}+\zeta_{12}^{3})q^{4}+\cdots$$
936.2.g.c $6$ $7.474$ 6.0.399424.1 None None $$2$$ $$0$$ $$0$$ $$2$$ $$q+\beta _{2}q^{2}+(\beta _{1}+\beta _{5})q^{4}-\beta _{1}q^{5}+(\beta _{3}+\cdots)q^{7}+\cdots$$
936.2.g.d $8$ $7.474$ $$\Q(\zeta_{20})$$ None None $$-2$$ $$0$$ $$0$$ $$4$$ $$q+\zeta_{20}^{6}q^{2}-\zeta_{20}q^{4}+(1+\zeta_{20}^{2}-\zeta_{20}^{3}+\cdots)q^{5}+\cdots$$
936.2.g.e $16$ $7.474$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$-2$$ $$0$$ $$0$$ $$4$$ $$q-\beta _{10}q^{2}-\beta _{2}q^{4}-\beta _{14}q^{5}+(-\beta _{1}+\cdots)q^{7}+\cdots$$
936.2.g.f $24$ $7.474$ None None $$0$$ $$0$$ $$0$$ $$-8$$
936.2.h.a $56$ $7.474$ None None $$0$$ $$0$$ $$0$$ $$0$$
936.2.j.a $48$ $7.474$ None None $$0$$ $$0$$ $$0$$ $$0$$
936.2.m.a $2$ $7.474$ $$\Q(\sqrt{-1})$$ None None $$-2$$ $$0$$ $$-4$$ $$0$$ $$q+(-1+i)q^{2}-2iq^{4}-2q^{5}+(2+2i)q^{8}+\cdots$$
936.2.m.b $2$ $7.474$ $$\Q(\sqrt{-1})$$ None None $$-2$$ $$0$$ $$2$$ $$0$$ $$q+(-1+i)q^{2}-2iq^{4}+q^{5}+3iq^{7}+\cdots$$
936.2.m.c $2$ $7.474$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$0$$ $$-2$$ $$0$$ $$q+(1-i)q^{2}-2iq^{4}-q^{5}-3iq^{7}+\cdots$$
936.2.m.d $2$ $7.474$ $$\Q(\sqrt{-1})$$ None None $$2$$ $$0$$ $$4$$ $$0$$ $$q+(1-i)q^{2}-2iq^{4}+2q^{5}+(-2-2i)q^{8}+\cdots$$
936.2.m.e $4$ $7.474$ $$\Q(\sqrt{-2}, \sqrt{13})$$ $$\Q(\sqrt{-78})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}-2q^{4}-2\beta _{2}q^{8}-\beta _{3}q^{13}+\cdots$$
936.2.m.f $8$ $7.474$ 8.0.4521217600.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{2}q^{4}-\beta _{6}q^{5}+(\beta _{1}-\beta _{4}+\cdots)q^{7}+\cdots$$
936.2.m.g $8$ $7.474$ 8.0.$$\cdots$$.21 $$\Q(\sqrt{-39})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{5}q^{2}+(-\beta _{2}-\beta _{4})q^{4}+(\beta _{1}+\beta _{3}+\cdots)q^{5}+\cdots$$
936.2.m.h $16$ $7.474$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{10}q^{2}+\beta _{3}q^{4}+\beta _{14}q^{5}-\beta _{5}q^{7}+\cdots$$
936.2.m.i $24$ $7.474$ None None $$0$$ $$0$$ $$0$$ $$0$$
936.2.q.a $2$ $7.474$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$4$$ $$-2$$ $$q+(-1-\zeta_{6})q^{3}+4\zeta_{6}q^{5}+(-2+2\zeta_{6})q^{7}+\cdots$$
936.2.q.b $2$ $7.474$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$3$$ $$-2$$ $$2$$ $$q+(1+\zeta_{6})q^{3}-2\zeta_{6}q^{5}+(2-2\zeta_{6})q^{7}+\cdots$$
936.2.q.c $2$ $7.474$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$3$$ $$-2$$ $$4$$ $$q+(2-\zeta_{6})q^{3}-2\zeta_{6}q^{5}+(4-4\zeta_{6})q^{7}+\cdots$$
936.2.q.d $12$ $7.474$ $$\mathbb{Q}[x]/(x^{12} - \cdots)$$ None None $$0$$ $$-4$$ $$-1$$ $$2$$ $$q+\beta _{5}q^{3}+(\beta _{2}-\beta _{11})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots$$
936.2.q.e $16$ $7.474$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$-1$$ $$-1$$ $$-4$$ $$q-\beta _{1}q^{3}+(-\beta _{5}-\beta _{9}+\beta _{11})q^{5}-\beta _{14}q^{7}+\cdots$$
936.2.q.f $16$ $7.474$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$1$$ $$2$$ $$q+\beta _{1}q^{3}+(\beta _{6}-\beta _{11})q^{5}-\beta _{5}q^{7}+(-\beta _{2}+\cdots)q^{9}+\cdots$$
936.2.q.g $22$ $7.474$ None None $$0$$ $$0$$ $$-3$$ $$-4$$
936.2.r.a $2$ $7.474$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$-3$$ $$0$$ $$q+(-2+\zeta_{6})q^{3}+(-3+3\zeta_{6})q^{5}+(3+\cdots)q^{9}+\cdots$$
936.2.r.b $2$ $7.474$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$0$$ $$-3$$ $$1$$ $$q+(-1+2\zeta_{6})q^{3}+(-3+3\zeta_{6})q^{5}+\cdots$$