## Results (1-50 of 128 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1400.1.c.a $2$ $0.699$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-14})$$ $$\Q(\sqrt{2})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-q^{4}-iq^{7}+iq^{8}+q^{9}-q^{14}+\cdots$$
1400.1.c.b $4$ $0.699$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{3}q^{7}-\zeta_{12}^{3}q^{8}+\cdots$$
1400.1.m.a $1$ $0.699$ $$\Q$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-14})$$ $$\Q(\sqrt{2})$$ $$1$$ $$0$$ $$0$$ $$1$$ $$q+q^{2}+q^{4}+q^{7}+q^{8}-q^{9}+q^{14}+\cdots$$
1400.1.m.b $2$ $0.699$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-14})$$ None $$-2$$ $$0$$ $$0$$ $$2$$ $$q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}+q^{7}-q^{8}+\cdots$$
1400.1.m.c $2$ $0.699$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-7})$$ None $$-1$$ $$0$$ $$0$$ $$2$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+q^{7}+q^{8}-q^{9}+\cdots$$
1400.1.m.d $2$ $0.699$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$-2$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-q^{7}-q^{8}-q^{9}+\cdots$$
1400.1.m.e $2$ $0.699$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-14})$$ None $$2$$ $$0$$ $$0$$ $$-2$$ $$q+q^{2}-\beta q^{3}+q^{4}-\beta q^{6}-q^{7}+q^{8}+\cdots$$
1400.1.y.a $4$ $0.699$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-10})$$ $$\Q(\sqrt{70})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{7}-\zeta_{8}q^{8}+\cdots$$
1400.1.y.b $8$ $0.699$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+\zeta_{24}^{3}q^{7}+\cdots$$
1400.1.ba.a $4$ $0.699$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}-\zeta_{12}^{3}q^{7}+\cdots$$
1400.1.bf.a $2$ $0.699$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{2})$$ $$-1$$ $$0$$ $$0$$ $$-1$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}^{2}q^{7}+q^{8}+\cdots$$
1400.1.bf.b $2$ $0.699$ $$\Q(\sqrt{-3})$$ None $$\Q(\sqrt{2})$$ $$1$$ $$0$$ $$0$$ $$1$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}^{2}q^{7}-q^{8}+\cdots$$
1400.1.bl.a $4$ $0.699$ $$\Q(\zeta_{12})$$ None $$\Q(\sqrt{2})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{2}-\zeta_{12}^{4}q^{4}+\zeta_{12}^{5}q^{7}+\cdots$$
1400.1.bs.a $4$ $0.699$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-14})$$ None $$-1$$ $$-3$$ $$1$$ $$4$$ $$q+\zeta_{10}^{4}q^{2}+(-1+\zeta_{10})q^{3}-\zeta_{10}^{3}q^{4}+\cdots$$
1400.1.bs.b $4$ $0.699$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-14})$$ None $$-1$$ $$3$$ $$-1$$ $$4$$ $$q+\zeta_{10}^{4}q^{2}+(1-\zeta_{10})q^{3}-\zeta_{10}^{3}q^{4}+\cdots$$
1400.1.bs.c $8$ $0.699$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-14})$$ None $$2$$ $$0$$ $$0$$ $$-8$$ $$q-\zeta_{20}^{8}q^{2}+(\zeta_{20}^{5}+\zeta_{20}^{7})q^{3}-\zeta_{20}^{6}q^{4}+\cdots$$
1400.1.cc.a $16$ $0.699$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-14})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{40}^{6}q^{2}+(\zeta_{40}^{9}-\zeta_{40}^{15})q^{3}+\zeta_{40}^{12}q^{4}+\cdots$$
1400.1.cf.a $8$ $0.699$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{11}q^{2}-\zeta_{24}^{10}q^{4}-\zeta_{24}^{3}q^{7}+\cdots$$
1400.2.a.a $1$ $11.179$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$-1$$ $-$ $$q-2q^{3}-q^{7}+q^{9}+2q^{17}-2q^{19}+\cdots$$
1400.2.a.b $1$ $11.179$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$-1$$ $+$ $$q-2q^{3}-q^{7}+q^{9}+5q^{11}-8q^{17}+\cdots$$
1400.2.a.c $1$ $11.179$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$1$$ $+$ $$q-2q^{3}+q^{7}+q^{9}+q^{11}-4q^{13}+\cdots$$
1400.2.a.d $1$ $11.179$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $+$ $$q-q^{3}+q^{7}-2q^{9}-q^{11}+q^{13}+3q^{17}+\cdots$$
1400.2.a.e $1$ $11.179$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $-$ $$q-q^{3}+q^{7}-2q^{9}-q^{11}+6q^{13}+\cdots$$
1400.2.a.f $1$ $11.179$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $-$ $$q-q^{7}-3q^{9}+q^{11}+2q^{13}+4q^{17}+\cdots$$
1400.2.a.g $1$ $11.179$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $-$ $$q+q^{7}-3q^{9}-4q^{11}-2q^{13}+6q^{17}+\cdots$$
1400.2.a.h $1$ $11.179$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $+$ $$q+q^{7}-3q^{9}+q^{11}-2q^{13}-4q^{17}+\cdots$$
1400.2.a.i $1$ $11.179$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-1$$ $+$ $$q+q^{3}-q^{7}-2q^{9}-q^{11}-6q^{13}+\cdots$$
1400.2.a.j $1$ $11.179$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-1$$ $+$ $$q+q^{3}-q^{7}-2q^{9}-q^{11}-q^{13}-3q^{17}+\cdots$$
1400.2.a.k $1$ $11.179$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$1$$ $+$ $$q+q^{3}+q^{7}-2q^{9}-5q^{11}-q^{13}+\cdots$$
1400.2.a.l $1$ $11.179$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$-1$$ $-$ $$q+2q^{3}-q^{7}+q^{9}+q^{11}+4q^{13}+\cdots$$
1400.2.a.m $1$ $11.179$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$1$$ $-$ $$q+2q^{3}+q^{7}+q^{9}+5q^{11}+8q^{17}+\cdots$$
1400.2.a.n $1$ $11.179$ $$\Q$$ None None $$0$$ $$3$$ $$0$$ $$-1$$ $-$ $$q+3q^{3}-q^{7}+6q^{9}-5q^{11}+5q^{13}+\cdots$$
1400.2.a.o $2$ $11.179$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$0$$ $$-2$$ $+$ $$q-\beta q^{3}-q^{7}+(1+\beta )q^{9}+(-3+2\beta )q^{11}+\cdots$$
1400.2.a.p $2$ $11.179$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$0$$ $$-2$$ $+$ $$q-\beta q^{3}-q^{7}+(1+\beta )q^{9}-\beta q^{11}+(-2+\cdots)q^{13}+\cdots$$
1400.2.a.q $2$ $11.179$ $$\Q(\sqrt{17})$$ None None $$0$$ $$1$$ $$0$$ $$2$$ $-$ $$q+\beta q^{3}+q^{7}+(1+\beta )q^{9}+(-3+2\beta )q^{11}+\cdots$$
1400.2.a.r $2$ $11.179$ $$\Q(\sqrt{33})$$ None None $$0$$ $$1$$ $$0$$ $$2$$ $-$ $$q+\beta q^{3}+q^{7}+(5+\beta )q^{9}+(4-\beta )q^{11}+\cdots$$
1400.2.a.s $3$ $11.179$ 3.3.568.1 None None $$0$$ $$-1$$ $$0$$ $$3$$ $-$ $$q-\beta _{1}q^{3}+q^{7}+(1+2\beta _{1}+\beta _{2})q^{9}+\cdots$$
1400.2.a.t $3$ $11.179$ 3.3.568.1 None None $$0$$ $$1$$ $$0$$ $$-3$$ $-$ $$q+\beta _{1}q^{3}-q^{7}+(1+2\beta _{1}+\beta _{2})q^{9}+\cdots$$
1400.2.g.a $2$ $11.179$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+3iq^{3}+iq^{7}-6q^{9}-5q^{11}+5iq^{13}+\cdots$$
1400.2.g.b $2$ $11.179$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{3}-iq^{7}-q^{9}+2iq^{17}+2q^{19}+\cdots$$
1400.2.g.c $2$ $11.179$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{3}+iq^{7}-q^{9}+q^{11}+4iq^{13}+\cdots$$
1400.2.g.d $2$ $11.179$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{3}-iq^{7}-q^{9}+5q^{11}-8iq^{17}+\cdots$$
1400.2.g.e $2$ $11.179$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-iq^{7}+2q^{9}-5q^{11}-iq^{13}+\cdots$$
1400.2.g.f $2$ $11.179$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}+iq^{7}+2q^{9}-q^{11}-6iq^{13}+\cdots$$
1400.2.g.g $2$ $11.179$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{7}+3q^{9}-4q^{11}+2iq^{13}+6iq^{17}+\cdots$$
1400.2.g.h $2$ $11.179$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{7}+3q^{9}+q^{11}-2iq^{13}+4iq^{17}+\cdots$$
1400.2.g.i $4$ $11.179$ $$\Q(i, \sqrt{33})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+\beta _{2}q^{7}+(-6+\beta _{3})q^{9}+(3+\cdots)q^{11}+\cdots$$
1400.2.g.j $4$ $11.179$ $$\Q(i, \sqrt{17})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+\beta _{2}q^{7}+(-2+\beta _{3})q^{9}+(-1+\cdots)q^{11}+\cdots$$
1400.2.g.k $4$ $11.179$ $$\Q(i, \sqrt{17})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+\beta _{2}q^{7}+(-2+\beta _{3})q^{9}+(-1+\cdots)q^{11}+\cdots$$
1400.2.q.a $2$ $11.179$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-2$$ $$0$$ $$-4$$ $$q+(-2+2\zeta_{6})q^{3}+(-3+2\zeta_{6})q^{7}+\cdots$$