## Results (1-50 of 90 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2200.1.d.a $1$ $1.098$ $$\Q$$ $$\Q(\sqrt{-22})$$ None $$-1$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-q^{8}+q^{9}-q^{11}+q^{13}+\cdots$$
2200.1.d.b $1$ $1.098$ $$\Q$$ $$\Q(\sqrt{-22})$$ None $$-1$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-q^{8}+q^{9}+q^{11}+q^{13}+\cdots$$
2200.1.d.c $1$ $1.098$ $$\Q$$ $$\Q(\sqrt{-22})$$ None $$1$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}+q^{8}+q^{9}-q^{11}-q^{13}+\cdots$$
2200.1.d.d $1$ $1.098$ $$\Q$$ $$\Q(\sqrt{-22})$$ None $$1$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}+q^{8}+q^{9}+q^{11}-q^{13}+\cdots$$
2200.1.d.e $2$ $1.098$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-110})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-iq^{3}-q^{4}-q^{6}+iq^{7}+iq^{8}+\cdots$$
2200.1.d.f $2$ $1.098$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-110})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-iq^{3}-q^{4}+q^{6}-iq^{7}-iq^{8}+\cdots$$
2200.1.d.g $4$ $1.098$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+(-\zeta_{8}-\zeta_{8}^{3})q^{7}+\cdots$$
2200.1.o.a $2$ $1.098$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-22})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-q^{4}+iq^{8}-q^{9}-q^{11}-iq^{13}+\cdots$$
2200.1.o.b $2$ $1.098$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-22})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-q^{4}+iq^{8}-q^{9}+q^{11}-iq^{13}+\cdots$$
2200.1.w.a $4$ $1.098$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-10})$$, $$\Q(\sqrt{-55})$$ $$\Q(\sqrt{22})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}+\zeta_{8}q^{7}-\zeta_{8}^{3}q^{8}+\cdots$$
2200.1.w.b $4$ $1.098$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-2})$$, $$\Q(\sqrt{-55})$$ $$\Q(\sqrt{110})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}q^{8}+\zeta_{8}^{2}q^{9}+\cdots$$
2200.1.w.c $8$ $1.098$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{9}q^{2}+(\zeta_{24}^{7}+\zeta_{24}^{11})q^{3}-\zeta_{24}^{6}q^{4}+\cdots$$
2200.1.cl.a $4$ $1.098$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-2})$$ None $$1$$ $$2$$ $$0$$ $$0$$ $$q+\zeta_{10}q^{2}+(-\zeta_{10}^{2}-\zeta_{10}^{4})q^{3}+\zeta_{10}^{2}q^{4}+\cdots$$
2200.1.cl.b $8$ $1.098$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-2})$$ None $$-2$$ $$2$$ $$0$$ $$0$$ $$q-\zeta_{30}^{3}q^{2}+(-\zeta_{30}^{7}-\zeta_{30}^{11})q^{3}+\cdots$$
2200.1.cl.c $8$ $1.098$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{20}^{7}q^{2}-\zeta_{20}^{4}q^{4}+(-\zeta_{20}^{3}+\zeta_{20}^{5}+\cdots)q^{7}+\cdots$$
2200.1.cl.d $8$ $1.098$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-2})$$ None $$2$$ $$-2$$ $$0$$ $$0$$ $$q+\zeta_{30}^{3}q^{2}+(\zeta_{30}^{7}+\zeta_{30}^{11})q^{3}+\zeta_{30}^{6}q^{4}+\cdots$$
2200.1.dd.a $8$ $1.098$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{20}^{3}q^{2}+(\zeta_{20}-\zeta_{20}^{7})q^{3}+\zeta_{20}^{6}q^{4}+\cdots$$
2200.1.dd.b $16$ $1.098$ $$\Q(\zeta_{60})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{60}^{9}q^{2}+(-\zeta_{60}+\zeta_{60}^{23})q^{3}+\cdots$$
2200.1.fr.a $16$ $1.098$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{40}^{9}q^{2}+(\zeta_{40}^{3}-\zeta_{40}^{11})q^{3}+\zeta_{40}^{18}q^{4}+\cdots$$
2200.1.fr.b $16$ $1.098$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{40}^{19}q^{2}-\zeta_{40}^{18}q^{4}+(\zeta_{40}^{11}+\cdots)q^{7}+\cdots$$
2200.1.fr.c $32$ $1.098$ $$\Q(\zeta_{120})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{120}^{39}q^{2}+(-\zeta_{120}-\zeta_{120}^{53})q^{3}+\cdots$$
2200.2.a.a $1$ $17.567$ $$\Q$$ None None $$0$$ $$-3$$ $$0$$ $$-1$$ $-$ $$q-3q^{3}-q^{7}+6q^{9}-q^{11}+6q^{13}+\cdots$$
2200.2.a.b $1$ $17.567$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$-4$$ $+$ $$q-2q^{3}-4q^{7}+q^{9}+q^{11}+6q^{13}+\cdots$$
2200.2.a.c $1$ $17.567$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$2$$ $+$ $$q-2q^{3}+2q^{7}+q^{9}-q^{11}-4q^{17}+\cdots$$
2200.2.a.d $1$ $17.567$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $-$ $$q-q^{3}+q^{7}-2q^{9}-q^{11}+q^{17}+q^{19}+\cdots$$
2200.2.a.e $1$ $17.567$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $-$ $$q-4q^{7}-3q^{9}-q^{11}-6q^{13}+6q^{17}+\cdots$$
2200.2.a.f $1$ $17.567$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $-$ $$q+2q^{7}-3q^{9}-q^{11}-8q^{19}+8q^{23}+\cdots$$
2200.2.a.g $1$ $17.567$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $-$ $$q+2q^{7}-3q^{9}+q^{11}+4q^{13}+4q^{17}+\cdots$$
2200.2.a.h $1$ $17.567$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$-1$$ $+$ $$q+q^{3}-q^{7}-2q^{9}-q^{11}-q^{17}+q^{19}+\cdots$$
2200.2.a.i $1$ $17.567$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$-2$$ $-$ $$q+2q^{3}-2q^{7}+q^{9}-q^{11}+4q^{17}+\cdots$$
2200.2.a.j $1$ $17.567$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$4$$ $-$ $$q+2q^{3}+4q^{7}+q^{9}+q^{11}-6q^{13}+\cdots$$
2200.2.a.k $1$ $17.567$ $$\Q$$ None None $$0$$ $$3$$ $$0$$ $$2$$ $-$ $$q+3q^{3}+2q^{7}+6q^{9}-q^{11}+6q^{17}+\cdots$$
2200.2.a.l $2$ $17.567$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$0$$ $$-5$$ $+$ $$q-\beta q^{3}+(-2-\beta )q^{7}+(1+\beta )q^{9}-q^{11}+\cdots$$
2200.2.a.m $2$ $17.567$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$0$$ $$-3$$ $+$ $$q-\beta q^{3}+(-2+\beta )q^{7}+(1+\beta )q^{9}+q^{11}+\cdots$$
2200.2.a.n $2$ $17.567$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $+$ $$q-\beta q^{3}+(1-\beta )q^{7}+(-2+\beta )q^{9}-q^{11}+\cdots$$
2200.2.a.o $2$ $17.567$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$0$$ $$2$$ $+$ $$q-\beta q^{3}+2\beta q^{7}+(1+\beta )q^{9}-q^{11}+\cdots$$
2200.2.a.p $2$ $17.567$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-1$$ $$0$$ $$3$$ $+$ $$q-\beta q^{3}+(1+\beta )q^{7}+(-2+\beta )q^{9}+q^{11}+\cdots$$
2200.2.a.q $2$ $17.567$ $$\Q(\sqrt{5})$$ None None $$0$$ $$1$$ $$0$$ $$-3$$ $+$ $$q+\beta q^{3}+(-1-\beta )q^{7}+(-2+\beta )q^{9}+\cdots$$
2200.2.a.r $2$ $17.567$ $$\Q(\sqrt{5})$$ None None $$0$$ $$1$$ $$0$$ $$-1$$ $+$ $$q+\beta q^{3}+(-1+\beta )q^{7}+(-2+\beta )q^{9}+\cdots$$
2200.2.a.s $2$ $17.567$ $$\Q(\sqrt{17})$$ None None $$0$$ $$1$$ $$0$$ $$1$$ $-$ $$q+\beta q^{3}+\beta q^{7}+(1+\beta )q^{9}+q^{11}-2q^{13}+\cdots$$
2200.2.a.t $3$ $17.567$ 3.3.837.1 None None $$0$$ $$-3$$ $$0$$ $$-3$$ $-$ $$q+(-1+\beta _{1})q^{3}+(-1+\beta _{2})q^{7}+(2+\cdots)q^{9}+\cdots$$
2200.2.a.u $3$ $17.567$ 3.3.1229.1 None None $$0$$ $$-1$$ $$0$$ $$-3$$ $-$ $$q-\beta _{1}q^{3}+(-1-\beta _{2})q^{7}+(2+\beta _{2})q^{9}+\cdots$$
2200.2.a.v $3$ $17.567$ 3.3.1229.1 None None $$0$$ $$1$$ $$0$$ $$3$$ $-$ $$q+\beta _{1}q^{3}+(1+\beta _{2})q^{7}+(2+\beta _{2})q^{9}+\cdots$$
2200.2.a.w $3$ $17.567$ 3.3.837.1 None None $$0$$ $$3$$ $$0$$ $$3$$ $-$ $$q+(1-\beta _{1})q^{3}+(1-\beta _{2})q^{7}+(2-2\beta _{1}+\cdots)q^{9}+\cdots$$
2200.2.a.x $4$ $17.567$ 4.4.54764.1 None None $$0$$ $$-1$$ $$0$$ $$-1$$ $+$ $$q-\beta _{1}q^{3}-\beta _{3}q^{7}+(1+\beta _{1}+\beta _{2}+\beta _{3})q^{9}+\cdots$$
2200.2.a.y $4$ $17.567$ 4.4.54764.1 None None $$0$$ $$1$$ $$0$$ $$1$$ $-$ $$q+\beta _{1}q^{3}+\beta _{3}q^{7}+(1+\beta _{1}+\beta _{2}+\beta _{3})q^{9}+\cdots$$
2200.2.b.a $2$ $17.567$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+3iq^{3}-2iq^{7}-6q^{9}-q^{11}-6iq^{17}+\cdots$$
2200.2.b.b $2$ $17.567$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+3iq^{3}-iq^{7}-6q^{9}-q^{11}-6iq^{13}+\cdots$$
2200.2.b.c $2$ $17.567$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{7}+3q^{9}-q^{11}-3iq^{13}-3iq^{17}+\cdots$$
2200.2.b.d $2$ $17.567$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{7}+3q^{9}-q^{11}+8q^{19}-4iq^{23}+\cdots$$