## Results (1-50 of 56 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2695.1.g.a $1$ $1.345$ $$\Q$$ $$\Q(\sqrt{-55})$$ None $$-1$$ $$0$$ $$-1$$ $$0$$ $$q-q^{2}-q^{5}+q^{8}+q^{9}+q^{10}+q^{11}+\cdots$$
2695.1.g.b $1$ $1.345$ $$\Q$$ $$\Q(\sqrt{-55})$$ None $$-1$$ $$0$$ $$1$$ $$0$$ $$q-q^{2}+q^{5}+q^{8}+q^{9}-q^{10}+q^{11}+\cdots$$
2695.1.g.c $1$ $1.345$ $$\Q$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-55})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$1$$ $$0$$ $$q-q^{4}+q^{5}+q^{9}-q^{11}+q^{16}-q^{20}+\cdots$$
2695.1.g.d $1$ $1.345$ $$\Q$$ $$\Q(\sqrt{-55})$$ None $$1$$ $$0$$ $$-1$$ $$0$$ $$q+q^{2}-q^{5}-q^{8}+q^{9}-q^{10}+q^{11}+\cdots$$
2695.1.g.e $1$ $1.345$ $$\Q$$ $$\Q(\sqrt{-55})$$ None $$1$$ $$0$$ $$1$$ $$0$$ $$q+q^{2}+q^{5}-q^{8}+q^{9}+q^{10}+q^{11}+\cdots$$
2695.1.g.f $2$ $1.345$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-35})$$ $$\Q(\sqrt{385})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}-q^{4}-iq^{5}-3q^{9}-q^{11}+\cdots$$
2695.1.g.g $2$ $1.345$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q-\beta q^{2}+2q^{4}-q^{5}-\beta q^{8}+q^{9}+\beta q^{10}+\cdots$$
2695.1.g.h $2$ $1.345$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\beta q^{2}+2q^{4}+q^{5}-\beta q^{8}+q^{9}-\beta q^{10}+\cdots$$
2695.1.g.i $4$ $1.345$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{8}+\zeta_{8}^{3})q^{3}-q^{4}-\zeta_{8}q^{5}-q^{9}+\cdots$$
2695.1.l.a $8$ $1.345$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{16}+\zeta_{16}^{3})q^{3}-\zeta_{16}^{4}q^{4}+\zeta_{16}^{5}q^{5}+\cdots$$
2695.1.l.b $8$ $1.345$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{16}^{5}-\zeta_{16}^{7})q^{3}-\zeta_{16}^{4}q^{4}+\cdots$$
2695.1.q.a $2$ $1.345$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-55})$$ None $$-1$$ $$0$$ $$1$$ $$0$$ $$q-\zeta_{6}q^{2}+\zeta_{6}q^{5}-q^{8}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{10}+\cdots$$
2695.1.q.b $2$ $1.345$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-55})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$-1$$ $$0$$ $$q-\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{11}+\cdots$$
2695.1.q.c $2$ $1.345$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-55})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$1$$ $$0$$ $$q-\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{11}+\cdots$$
2695.1.q.d $2$ $1.345$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-55})$$ None $$1$$ $$0$$ $$1$$ $$0$$ $$q+\zeta_{6}q^{2}+\zeta_{6}q^{5}+q^{8}-\zeta_{6}q^{9}+\zeta_{6}^{2}q^{10}+\cdots$$
2695.1.q.e $4$ $1.345$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(\zeta_{12}^{3}+\zeta_{12}^{5})q^{2}+(-1-\zeta_{12}^{2}+\cdots)q^{4}+\cdots$$
2695.1.q.f $4$ $1.345$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-35})$$ $$\Q(\sqrt{385})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{5}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}q^{5}-3\zeta_{12}^{4}q^{9}+\cdots$$
2695.1.q.g $8$ $1.345$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{24}+\zeta_{24}^{7})q^{3}+\zeta_{24}^{4}q^{4}-\zeta_{24}^{5}q^{5}+\cdots$$
2695.1.x.a $8$ $1.345$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{20}-\zeta_{20}^{5})q^{3}+\zeta_{20}^{2}q^{4}-\zeta_{20}^{9}q^{5}+\cdots$$
2695.1.bg.a $16$ $1.345$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{48}-\zeta_{48}^{19})q^{3}+\zeta_{48}^{4}q^{4}+\cdots$$
2695.1.bg.b $16$ $1.345$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{48}+\zeta_{48}^{19})q^{3}-\zeta_{48}^{4}q^{4}+\cdots$$
2695.1.bi.a $6$ $1.345$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-55})$$ None $$-2$$ $$0$$ $$-1$$ $$-1$$ $$q+(-\zeta_{14}^{3}+\zeta_{14}^{6})q^{2}+(\zeta_{14}^{2}-\zeta_{14}^{5}+\cdots)q^{4}+\cdots$$
2695.1.bi.b $6$ $1.345$ $$\Q(\zeta_{14})$$ $$\Q(\sqrt{-55})$$ None $$2$$ $$0$$ $$-1$$ $$1$$ $$q+(\zeta_{14}^{3}-\zeta_{14}^{6})q^{2}+(\zeta_{14}^{2}-\zeta_{14}^{5}+\cdots)q^{4}+\cdots$$
2695.1.bi.c $12$ $1.345$ $$\Q(\zeta_{28})$$ $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(\zeta_{28}^{5}-\zeta_{28}^{13})q^{2}+(\zeta_{28}^{4}+\zeta_{28}^{10}+\cdots)q^{4}+\cdots$$
2695.1.ca.a $8$ $1.345$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$-3$$ $$1$$ $$0$$ $$q+(\zeta_{30}^{2}-\zeta_{30}^{5})q^{3}+\zeta_{30}^{14}q^{4}-\zeta_{30}^{13}q^{5}+\cdots$$
2695.1.ca.b $8$ $1.345$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$3$$ $$-1$$ $$0$$ $$q+(-\zeta_{30}^{2}+\zeta_{30}^{5})q^{3}+\zeta_{30}^{14}q^{4}+\cdots$$
2695.1.cc.a $16$ $1.345$ $$\Q(\zeta_{60})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{60}^{5}-\zeta_{60}^{23})q^{3}+\zeta_{60}^{26}q^{4}+\cdots$$
2695.1.ck.a $12$ $1.345$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-55})$$ None $$-1$$ $$0$$ $$1$$ $$-2$$ $$q+(\zeta_{42}^{4}-\zeta_{42}^{9})q^{2}+(\zeta_{42}^{8}-\zeta_{42}^{13}+\cdots)q^{4}+\cdots$$
2695.1.ck.b $12$ $1.345$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-55})$$ None $$1$$ $$0$$ $$1$$ $$2$$ $$q+(-\zeta_{42}^{4}+\zeta_{42}^{9})q^{2}+(\zeta_{42}^{8}-\zeta_{42}^{13}+\cdots)q^{4}+\cdots$$
2695.1.ck.c $24$ $1.345$ $$\Q(\zeta_{84})$$ $$\Q(\sqrt{-55})$$ None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+(\zeta_{84}^{15}-\zeta_{84}^{23})q^{2}+(-\zeta_{84}^{4}+\zeta_{84}^{30}+\cdots)q^{4}+\cdots$$
2695.2.a.a $1$ $21.520$ $$\Q$$ None None $$-1$$ $$0$$ $$-1$$ $$0$$ $+$ $$q-q^{2}-q^{4}-q^{5}+3q^{8}-3q^{9}+q^{10}+\cdots$$
2695.2.a.b $1$ $21.520$ $$\Q$$ None None $$-1$$ $$2$$ $$-1$$ $$0$$ $-$ $$q-q^{2}+2q^{3}-q^{4}-q^{5}-2q^{6}+3q^{8}+\cdots$$
2695.2.a.c $1$ $21.520$ $$\Q$$ None None $$1$$ $$0$$ $$-1$$ $$0$$ $-$ $$q+q^{2}-q^{4}-q^{5}-3q^{8}-3q^{9}-q^{10}+\cdots$$
2695.2.a.d $2$ $21.520$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$2$$ $$0$$ $+$ $$q+\beta q^{2}+(-1-\beta )q^{3}+q^{4}+q^{5}+(-3+\cdots)q^{6}+\cdots$$
2695.2.a.e $2$ $21.520$ $$\Q(\sqrt{2})$$ None None $$2$$ $$0$$ $$2$$ $$0$$ $-$ $$q+(1+\beta )q^{2}-\beta q^{3}+(1+2\beta )q^{4}+q^{5}+\cdots$$
2695.2.a.f $2$ $21.520$ $$\Q(\sqrt{2})$$ None None $$2$$ $$0$$ $$2$$ $$0$$ $-$ $$q+(1+\beta )q^{2}+2\beta q^{3}+(1+2\beta )q^{4}+q^{5}+\cdots$$
2695.2.a.g $3$ $21.520$ 3.3.148.1 None None $$-3$$ $$2$$ $$3$$ $$0$$ $+$ $$q+(-1-\beta _{2})q^{2}+(1-\beta _{1})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots$$
2695.2.a.h $3$ $21.520$ 3.3.148.1 None None $$-3$$ $$4$$ $$3$$ $$0$$ $-$ $$q+(-1-\beta _{2})q^{2}+(1+\beta _{1})q^{3}+(2-\beta _{1}+\cdots)q^{4}+\cdots$$
2695.2.a.i $3$ $21.520$ 3.3.148.1 None None $$1$$ $$0$$ $$-3$$ $$0$$ $+$ $$q+\beta _{1}q^{2}-\beta _{2}q^{3}+(\beta _{1}+\beta _{2})q^{4}-q^{5}+\cdots$$
2695.2.a.j $4$ $21.520$ 4.4.1957.1 None None $$-3$$ $$-3$$ $$4$$ $$0$$ $+$ $$q+(-1-\beta _{1}-\beta _{2})q^{2}+(-1-\beta _{2})q^{3}+\cdots$$
2695.2.a.k $4$ $21.520$ 4.4.1957.1 None None $$-3$$ $$3$$ $$-4$$ $$0$$ $+$ $$q+(-1-\beta _{1}-\beta _{2})q^{2}+(1+\beta _{2})q^{3}+\cdots$$
2695.2.a.l $4$ $21.520$ 4.4.11348.1 None None $$2$$ $$-2$$ $$-4$$ $$0$$ $-$ $$q+(1+\beta _{2})q^{2}+(-1-\beta _{3})q^{3}+(2+\beta _{2}+\cdots)q^{4}+\cdots$$
2695.2.a.m $5$ $21.520$ 5.5.303952.1 None None $$-1$$ $$0$$ $$-5$$ $$0$$ $-$ $$q-\beta _{1}q^{2}+\beta _{4}q^{3}+(1+\beta _{2}-\beta _{3})q^{4}+\cdots$$
2695.2.a.n $5$ $21.520$ 5.5.303952.1 None None $$-1$$ $$0$$ $$5$$ $$0$$ $+$ $$q-\beta _{1}q^{2}-\beta _{4}q^{3}+(1+\beta _{2}-\beta _{3})q^{4}+\cdots$$
2695.2.a.o $5$ $21.520$ 5.5.394064.1 None None $$1$$ $$-4$$ $$-5$$ $$0$$ $+$ $$q+\beta _{1}q^{2}+(-1-\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
2695.2.a.p $5$ $21.520$ 5.5.394064.1 None None $$1$$ $$4$$ $$5$$ $$0$$ $-$ $$q+\beta _{1}q^{2}+(1+\beta _{4})q^{3}+(1+\beta _{2})q^{4}+\cdots$$
2695.2.a.q $6$ $21.520$ 6.6.15751800.1 None None $$-3$$ $$-1$$ $$6$$ $$0$$ $+$ $$q-\beta _{2}q^{2}-\beta _{1}q^{3}+(\beta _{2}+\beta _{5})q^{4}+q^{5}+\cdots$$
2695.2.a.r $6$ $21.520$ 6.6.15751800.1 None None $$-3$$ $$1$$ $$-6$$ $$0$$ $+$ $$q-\beta _{2}q^{2}+\beta _{1}q^{3}+(\beta _{2}+\beta _{5})q^{4}-q^{5}+\cdots$$
2695.2.a.s $8$ $21.520$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$3$$ $$-1$$ $$-8$$ $$0$$ $-$ $$q+\beta _{1}q^{2}-\beta _{5}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots$$
2695.2.a.t $8$ $21.520$ $$\mathbb{Q}[x]/(x^{8} - \cdots)$$ None None $$3$$ $$1$$ $$8$$ $$0$$ $-$ $$q+\beta _{1}q^{2}+\beta _{5}q^{3}+(1+\beta _{2})q^{4}+q^{5}+\cdots$$