## Results (1-50 of 111 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1100.1.e.a $2$ $0.549$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}+q^{11}-iq^{23}-iq^{27}-q^{31}+\cdots$$
1100.1.f.a $1$ $0.549$ $$\Q$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$1$$ $$0$$ $$0$$ $$q+q^{3}+q^{11}+q^{23}-q^{27}-q^{31}+\cdots$$
1100.1.f.b $2$ $0.549$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{3}+2q^{9}-q^{11}+\beta q^{23}-\beta q^{27}+\cdots$$
1100.1.i.a $2$ $0.549$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-55})$$ None $$-2$$ $$0$$ $$0$$ $$2$$ $$q-q^{2}+q^{4}+(1-i)q^{7}-q^{8}+iq^{9}+\cdots$$
1100.1.i.b $2$ $0.549$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-iq^{2}-q^{4}+(-1+i)q^{7}+iq^{8}+\cdots$$
1100.1.i.c $2$ $0.549$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$0$$ $$2$$ $$q+iq^{2}-q^{4}+(1-i)q^{7}-iq^{8}+iq^{9}+\cdots$$
1100.1.i.d $2$ $0.549$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-55})$$ None $$2$$ $$0$$ $$0$$ $$-2$$ $$q+q^{2}+q^{4}+(-1+i)q^{7}+q^{8}+iq^{9}+\cdots$$
1100.1.x.a $8$ $0.549$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$2$$ $$-4$$ $$0$$ $$q+(\zeta_{30}^{2}+\zeta_{30}^{4})q^{3}-\zeta_{30}^{5}q^{5}+(\zeta_{30}^{4}+\cdots)q^{9}+\cdots$$
1100.1.cd.a $8$ $0.549$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $$q+(-\zeta_{30}-\zeta_{30}^{2})q^{3}-\zeta_{30}^{10}q^{5}+\cdots$$
1100.2.a.a $1$ $8.784$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $+$ $$q-2q^{3}+q^{9}+q^{11}+4q^{17}-4q^{19}+\cdots$$
1100.2.a.b $1$ $8.784$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-2$$ $-$ $$q-q^{3}-2q^{7}-2q^{9}-q^{11}+4q^{13}+\cdots$$
1100.2.a.c $1$ $8.784$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $+$ $$q-2q^{7}-3q^{9}-q^{11}+6q^{13}+2q^{17}+\cdots$$
1100.2.a.d $1$ $8.784$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $+$ $$q+2q^{7}-3q^{9}-q^{11}-6q^{13}-2q^{17}+\cdots$$
1100.2.a.e $1$ $8.784$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$4$$ $-$ $$q+2q^{3}+4q^{7}+q^{9}-q^{11}+4q^{13}+\cdots$$
1100.2.a.f $2$ $8.784$ $$\Q(\sqrt{13})$$ None None $$0$$ $$-3$$ $$0$$ $$-5$$ $+$ $$q+(-1-\beta )q^{3}+(-2-\beta )q^{7}+(1+3\beta )q^{9}+\cdots$$
1100.2.a.g $2$ $8.784$ $$\Q(\sqrt{21})$$ None None $$0$$ $$-1$$ $$0$$ $$-5$$ $+$ $$q-\beta q^{3}+(-3+\beta )q^{7}+(2+\beta )q^{9}-q^{11}+\cdots$$
1100.2.a.h $2$ $8.784$ $$\Q(\sqrt{21})$$ None None $$0$$ $$1$$ $$0$$ $$5$$ $-$ $$q+\beta q^{3}+(3-\beta )q^{7}+(2+\beta )q^{9}-q^{11}+\cdots$$
1100.2.a.i $2$ $8.784$ $$\Q(\sqrt{13})$$ None None $$0$$ $$3$$ $$0$$ $$5$$ $-$ $$q+(1+\beta )q^{3}+(2+\beta )q^{7}+(1+3\beta )q^{9}+\cdots$$
1100.2.a.j $4$ $8.784$ $$\Q(\sqrt{3}, \sqrt{19})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\beta _{1}q^{3}+(-\beta _{1}-\beta _{2})q^{7}+(3+\beta _{3})q^{9}+\cdots$$
1100.2.b.a $2$ $8.784$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-2iq^{7}-q^{9}-q^{11}+2iq^{13}+\cdots$$
1100.2.b.b $2$ $8.784$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-q^{9}+q^{11}+2iq^{17}+4q^{19}+\cdots$$
1100.2.b.c $2$ $8.784$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-2iq^{7}+2q^{9}-q^{11}-4iq^{13}+\cdots$$
1100.2.b.d $4$ $8.784$ $$\Q(i, \sqrt{21})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+(\beta _{1}+3\beta _{2})q^{7}+(-3+\beta _{3})q^{9}+\cdots$$
1100.2.b.e $4$ $8.784$ $$\Q(i, \sqrt{13})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{2})q^{3}+(-\beta _{1}+2\beta _{2})q^{7}+(-4+\cdots)q^{9}+\cdots$$
1100.2.k.a $4$ $8.784$ $$\Q(i, \sqrt{11})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+(1+\beta _{1})q^{3}+(\beta _{2}+\beta _{3})q^{7}-\beta _{1}q^{9}+\cdots$$
1100.2.k.b $8$ $8.784$ 8.0.303595776.1 $$\Q(\sqrt{-11})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $$q-\beta _{1}q^{3}+(-\beta _{1}-4\beta _{2}+\beta _{4}-\beta _{5}+\cdots)q^{9}+\cdots$$
1100.2.k.c $8$ $8.784$ 8.0.40960000.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{3}-\beta _{7}q^{7}+\beta _{1}q^{9}+(-1-\beta _{5}+\cdots)q^{11}+\cdots$$
1100.2.k.d $8$ $8.784$ 8.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+(-2\beta _{1}+\beta _{3})q^{7}+\beta _{6}q^{9}+\cdots$$
1100.2.k.e $8$ $8.784$ 8.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+(2\beta _{1}-\beta _{3})q^{7}+\beta _{6}q^{9}+(-\beta _{2}+\cdots)q^{11}+\cdots$$
1100.2.n.a $4$ $8.784$ $$\Q(\zeta_{10})$$ None None $$0$$ $$1$$ $$0$$ $$7$$ $$q+(\zeta_{10}+\zeta_{10}^{2}+\zeta_{10}^{3})q^{3}+(3-3\zeta_{10}+\cdots)q^{7}+\cdots$$
1100.2.n.b $8$ $8.784$ 8.0.159390625.1 None None $$0$$ $$-5$$ $$0$$ $$1$$ $$q+(-\beta _{1}-\beta _{2}-\beta _{3}+\beta _{5}-\beta _{6}+\beta _{7})q^{3}+\cdots$$
1100.2.n.c $8$ $8.784$ 8.0.26265625.1 None None $$0$$ $$1$$ $$0$$ $$-1$$ $$q+(\beta _{1}+\beta _{7})q^{3}+(1-\beta _{1}-2\beta _{2}+2\beta _{3}+\cdots)q^{7}+\cdots$$
1100.2.n.d $16$ $8.784$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $$q+(-\beta _{1}+\beta _{4}-\beta _{7}-\beta _{12})q^{3}+(\beta _{1}+\cdots)q^{7}+\cdots$$
1100.2.n.e $16$ $8.784$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$2$$ $$0$$ $$0$$ $$q+(\beta _{1}-\beta _{4}+\beta _{7}+\beta _{12})q^{3}+(-\beta _{1}+\cdots)q^{7}+\cdots$$
1100.2.n.f $24$ $8.784$ None None $$0$$ $$0$$ $$0$$ $$0$$
1100.2.q.a $44$ $8.784$ None None $$0$$ $$-2$$ $$9$$ $$0$$
1100.2.q.b $52$ $8.784$ None None $$0$$ $$0$$ $$-3$$ $$0$$
1100.2.cb.a $8$ $8.784$ $$\Q(\zeta_{20})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(2\zeta_{20}+\zeta_{20}^{5}-\zeta_{20}^{7})q^{3}+(2\zeta_{20}+\cdots)q^{7}+\cdots$$
1100.2.cb.b $16$ $8.784$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{2}-\beta _{6}-\beta _{10}-\beta _{12}-\beta _{13}+\beta _{14}+\cdots)q^{3}+\cdots$$
1100.2.cb.c $16$ $8.784$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(2\beta _{1}-\beta _{2}+\beta _{7}-\beta _{9}-\beta _{11}+\beta _{13}+\cdots)q^{3}+\cdots$$
1100.2.cb.d $32$ $8.784$ None None $$0$$ $$0$$ $$0$$ $$0$$
1100.3.e.a $4$ $29.973$ $$\Q(i, \sqrt{33})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{3}+(-6+\beta _{3})q^{9}-11q^{11}+\cdots$$
1100.3.e.b $16$ $29.973$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{9}+\beta _{10})q^{3}-\beta _{4}q^{7}+(-3+\beta _{1}+\cdots)q^{9}+\cdots$$
1100.3.e.c $16$ $29.973$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{8}q^{3}+\beta _{3}q^{7}+(-2+\beta _{5})q^{9}-\beta _{14}q^{11}+\cdots$$
1100.3.f.a $2$ $29.973$ $$\Q(\sqrt{33})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$-5$$ $$0$$ $$0$$ $$q+(-2-\beta )q^{3}+(3+5\beta )q^{9}-11q^{11}+\cdots$$
1100.3.f.b $4$ $29.973$ $$\Q(\sqrt{3}, \sqrt{11})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{3}+(13+\beta _{3})q^{9}+11q^{11}+(5\beta _{1}+\cdots)q^{23}+\cdots$$
1100.3.f.c $8$ $29.973$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $$q+(-1+\beta _{2})q^{3}-\beta _{1}q^{7}+(2+\beta _{3})q^{9}+\cdots$$
1100.3.f.d $8$ $29.973$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{3}+\beta _{4}q^{7}+(-3-\beta _{1})q^{9}+(-5+\cdots)q^{11}+\cdots$$
1100.3.f.e $8$ $29.973$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $$q+(1-\beta _{2})q^{3}+\beta _{1}q^{7}+(2+\beta _{3})q^{9}+\cdots$$
1100.3.f.f $8$ $29.973$ $$\mathbb{Q}[x]/(x^{8} + \cdots)$$ None None $$0$$ $$8$$ $$0$$ $$0$$ $$q+(1+\beta _{1})q^{3}-\beta _{4}q^{7}+(4+\beta _{1}-\beta _{7})q^{9}+\cdots$$