## Results (1-50 of 95 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1815.1.g.a $1$ $0.906$ $$\Q$$ $$\Q(\sqrt{-15})$$ None $$-1$$ $$-1$$ $$-1$$ $$0$$ $$q-q^{2}-q^{3}-q^{5}+q^{6}+q^{8}+q^{9}+\cdots$$
1815.1.g.b $1$ $0.906$ $$\Q$$ $$\Q(\sqrt{-15})$$ None $$-1$$ $$1$$ $$1$$ $$0$$ $$q-q^{2}+q^{3}+q^{5}-q^{6}+q^{8}+q^{9}+\cdots$$
1815.1.g.c $1$ $0.906$ $$\Q$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-15})$$ $$\Q(\sqrt{165})$$ $$0$$ $$-1$$ $$1$$ $$0$$ $$q-q^{3}-q^{4}+q^{5}+q^{9}+q^{12}-q^{15}+\cdots$$
1815.1.g.d $1$ $0.906$ $$\Q$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-15})$$ $$\Q(\sqrt{165})$$ $$0$$ $$1$$ $$-1$$ $$0$$ $$q+q^{3}-q^{4}-q^{5}+q^{9}-q^{12}-q^{15}+\cdots$$
1815.1.g.e $1$ $0.906$ $$\Q$$ $$\Q(\sqrt{-15})$$ None $$1$$ $$-1$$ $$-1$$ $$0$$ $$q+q^{2}-q^{3}-q^{5}-q^{6}-q^{8}+q^{9}+\cdots$$
1815.1.g.f $1$ $0.906$ $$\Q$$ $$\Q(\sqrt{-15})$$ None $$1$$ $$1$$ $$1$$ $$0$$ $$q+q^{2}+q^{3}+q^{5}+q^{6}-q^{8}+q^{9}+\cdots$$
1815.1.g.g $2$ $0.906$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$-2$$ $$2$$ $$0$$ $$q-\beta q^{2}-q^{3}+2q^{4}+q^{5}+\beta q^{6}-\beta q^{8}+\cdots$$
1815.1.g.h $2$ $0.906$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$2$$ $$-2$$ $$0$$ $$q-\beta q^{2}+q^{3}+2q^{4}-q^{5}-\beta q^{6}-\beta q^{8}+\cdots$$
1815.1.o.a $4$ $0.906$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-15})$$ None $$-1$$ $$-1$$ $$-1$$ $$0$$ $$q-\zeta_{10}^{3}q^{2}+\zeta_{10}^{4}q^{3}+\zeta_{10}^{2}q^{5}+\cdots$$
1815.1.o.b $4$ $0.906$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-15})$$ None $$-1$$ $$1$$ $$1$$ $$0$$ $$q-\zeta_{10}^{3}q^{2}-\zeta_{10}^{4}q^{3}-\zeta_{10}^{2}q^{5}+\cdots$$
1815.1.o.c $4$ $0.906$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-15})$$ $$\Q(\sqrt{165})$$ $$0$$ $$-1$$ $$1$$ $$0$$ $$q+\zeta_{10}^{4}q^{3}+\zeta_{10}q^{4}-\zeta_{10}^{2}q^{5}-\zeta_{10}^{3}q^{9}+\cdots$$
1815.1.o.d $4$ $0.906$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-11})$$, $$\Q(\sqrt{-15})$$ $$\Q(\sqrt{165})$$ $$0$$ $$1$$ $$-1$$ $$0$$ $$q-\zeta_{10}^{4}q^{3}+\zeta_{10}q^{4}+\zeta_{10}^{2}q^{5}-\zeta_{10}^{3}q^{9}+\cdots$$
1815.1.o.e $4$ $0.906$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-15})$$ None $$1$$ $$-1$$ $$-1$$ $$0$$ $$q+\zeta_{10}^{3}q^{2}+\zeta_{10}^{4}q^{3}+\zeta_{10}^{2}q^{5}+\cdots$$
1815.1.o.f $4$ $0.906$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-15})$$ None $$1$$ $$1$$ $$1$$ $$0$$ $$q+\zeta_{10}^{3}q^{2}-\zeta_{10}^{4}q^{3}-\zeta_{10}^{2}q^{5}+\cdots$$
1815.1.o.g $8$ $0.906$ 8.0.324000000.3 $$\Q(\sqrt{-15})$$ None $$0$$ $$-2$$ $$2$$ $$0$$ $$q-\beta _{7}q^{2}+\beta _{6}q^{3}+2\beta _{4}q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots$$
1815.1.o.h $8$ $0.906$ 8.0.324000000.3 $$\Q(\sqrt{-15})$$ None $$0$$ $$2$$ $$-2$$ $$0$$ $$q-\beta _{7}q^{2}-\beta _{6}q^{3}+2\beta _{4}q^{4}+(-1-\beta _{2}+\cdots)q^{5}+\cdots$$
1815.1.v.a $8$ $0.906$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{20}^{7}q^{3}+\zeta_{20}^{3}q^{4}+\zeta_{20}q^{5}-\zeta_{20}^{4}q^{9}+\cdots$$
1815.1.v.b $8$ $0.906$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-11})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $$q+\zeta_{20}^{2}q^{3}+\zeta_{20}^{3}q^{4}-\zeta_{20}q^{5}+\zeta_{20}^{4}q^{9}+\cdots$$
1815.2.a.a $1$ $14.493$ $$\Q$$ None None $$-1$$ $$1$$ $$-1$$ $$-2$$ $-$ $$q-q^{2}+q^{3}-q^{4}-q^{5}-q^{6}-2q^{7}+\cdots$$
1815.2.a.b $1$ $14.493$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$-1$$ $+$ $$q+q^{3}-2q^{4}-q^{5}-q^{7}+q^{9}-2q^{12}+\cdots$$
1815.2.a.c $1$ $14.493$ $$\Q$$ None None $$0$$ $$1$$ $$-1$$ $$1$$ $+$ $$q+q^{3}-2q^{4}-q^{5}+q^{7}+q^{9}-2q^{12}+\cdots$$
1815.2.a.d $1$ $14.493$ $$\Q$$ None None $$1$$ $$-1$$ $$1$$ $$0$$ $+$ $$q+q^{2}-q^{3}-q^{4}+q^{5}-q^{6}-3q^{8}+\cdots$$
1815.2.a.e $1$ $14.493$ $$\Q$$ None None $$1$$ $$1$$ $$-1$$ $$2$$ $-$ $$q+q^{2}+q^{3}-q^{4}-q^{5}+q^{6}+2q^{7}+\cdots$$
1815.2.a.f $2$ $14.493$ $$\Q(\sqrt{5})$$ None None $$-1$$ $$-2$$ $$-2$$ $$-2$$ $-$ $$q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}-q^{5}+\beta q^{6}+\cdots$$
1815.2.a.g $2$ $14.493$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$-2$$ $$0$$ $+$ $$q-q^{3}-2q^{4}-q^{5}-\beta q^{7}+q^{9}+2q^{12}+\cdots$$
1815.2.a.h $2$ $14.493$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-2$$ $$-2$$ $$0$$ $+$ $$q+\beta q^{2}-q^{3}+q^{4}-q^{5}-\beta q^{6}-\beta q^{8}+\cdots$$
1815.2.a.i $2$ $14.493$ $$\Q(\sqrt{3})$$ None None $$0$$ $$2$$ $$-2$$ $$-4$$ $+$ $$q+\beta q^{2}+q^{3}+q^{4}-q^{5}+\beta q^{6}-2q^{7}+\cdots$$
1815.2.a.j $2$ $14.493$ $$\Q(\sqrt{5})$$ None None $$1$$ $$-2$$ $$-2$$ $$2$$ $-$ $$q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-q^{5}-\beta q^{6}+\cdots$$
1815.2.a.k $2$ $14.493$ $$\Q(\sqrt{2})$$ None None $$2$$ $$-2$$ $$-2$$ $$4$$ $-$ $$q+(1+\beta )q^{2}-q^{3}+(1+2\beta )q^{4}-q^{5}+\cdots$$
1815.2.a.l $3$ $14.493$ 3.3.469.1 None None $$-1$$ $$3$$ $$3$$ $$-3$$ $-$ $$q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$$
1815.2.a.m $3$ $14.493$ 3.3.148.1 None None $$1$$ $$3$$ $$3$$ $$0$$ $-$ $$q+\beta _{1}q^{2}+q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+q^{5}+\cdots$$
1815.2.a.n $3$ $14.493$ 3.3.469.1 None None $$1$$ $$3$$ $$3$$ $$3$$ $-$ $$q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+q^{5}+\beta _{1}q^{6}+\cdots$$
1815.2.a.o $4$ $14.493$ 4.4.725.1 None None $$-5$$ $$4$$ $$-4$$ $$2$$ $+$ $$q+(-2+\beta _{1}+\beta _{2})q^{2}+q^{3}+(3-\beta _{1}+\cdots)q^{4}+\cdots$$
1815.2.a.p $4$ $14.493$ 4.4.725.1 None None $$-3$$ $$4$$ $$4$$ $$-6$$ $+$ $$q+(-1+\beta _{1})q^{2}+q^{3}+(-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
1815.2.a.q $4$ $14.493$ $$\Q(\zeta_{15})^+$$ None None $$-1$$ $$-4$$ $$4$$ $$0$$ $+$ $$q+(\beta _{2}+\beta _{3})q^{2}-q^{3}+\beta _{1}q^{4}+q^{5}+\cdots$$
1815.2.a.r $4$ $14.493$ 4.4.5725.1 None None $$-1$$ $$-4$$ $$-4$$ $$8$$ $-$ $$q+(\beta _{1}-\beta _{2})q^{2}-q^{3}+(3-\beta _{2}-\beta _{3})q^{4}+\cdots$$
1815.2.a.s $4$ $14.493$ 4.4.8112.1 None None $$0$$ $$-4$$ $$4$$ $$0$$ $-$ $$q-\beta _{2}q^{2}-q^{3}+(2-\beta _{3})q^{4}+q^{5}+\beta _{2}q^{6}+\cdots$$
1815.2.a.t $4$ $14.493$ $$\Q(\sqrt{3}, \sqrt{7})$$ None None $$0$$ $$4$$ $$-4$$ $$0$$ $-$ $$q+\beta _{3}q^{2}+q^{3}-\beta _{2}q^{4}-q^{5}+\beta _{3}q^{6}+\cdots$$
1815.2.a.u $4$ $14.493$ $$\Q(\zeta_{15})^+$$ None None $$1$$ $$-4$$ $$4$$ $$0$$ $-$ $$q+(-\beta _{2}-\beta _{3})q^{2}-q^{3}+\beta _{1}q^{4}+q^{5}+\cdots$$
1815.2.a.v $4$ $14.493$ 4.4.5725.1 None None $$1$$ $$-4$$ $$-4$$ $$-8$$ $+$ $$q+(-\beta _{1}+\beta _{2})q^{2}-q^{3}+(3-\beta _{2}-\beta _{3})q^{4}+\cdots$$
1815.2.a.w $4$ $14.493$ 4.4.725.1 None None $$3$$ $$4$$ $$4$$ $$6$$ $-$ $$q+(1-\beta _{1})q^{2}+q^{3}+(-\beta _{1}+\beta _{2})q^{4}+\cdots$$
1815.2.a.x $4$ $14.493$ 4.4.725.1 None None $$5$$ $$4$$ $$-4$$ $$-2$$ $-$ $$q+(2-\beta _{1}-\beta _{2})q^{2}+q^{3}+(3-\beta _{1}-2\beta _{2}+\cdots)q^{4}+\cdots$$
1815.2.a.y $6$ $14.493$ 6.6.437199552.1 None None $$0$$ $$-6$$ $$6$$ $$0$$ $-$ $$q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+q^{5}-\beta _{1}q^{6}+\cdots$$
1815.2.c.a $2$ $14.493$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{2}+iq^{3}+q^{4}+(-1-2i)q^{5}+\cdots$$
1815.2.c.b $2$ $14.493$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $$q+iq^{2}-iq^{3}+q^{4}+(-1+2i)q^{5}+\cdots$$
1815.2.c.c $4$ $14.493$ $$\Q(i, \sqrt{5})$$ None None $$0$$ $$0$$ $$-4$$ $$0$$ $$q-\beta _{2}q^{2}-\beta _{1}q^{3}-3q^{4}+(-1-2\beta _{1}+\cdots)q^{5}+\cdots$$
1815.2.c.d $6$ $14.493$ 6.0.350464.1 None None $$0$$ $$0$$ $$2$$ $$0$$ $$q+(\beta _{3}-\beta _{5})q^{2}-\beta _{3}q^{3}+(-2-\beta _{1}+\cdots)q^{4}+\cdots$$
1815.2.c.e $6$ $14.493$ 6.0.350464.1 None None $$0$$ $$0$$ $$2$$ $$0$$ $$q-\beta _{4}q^{2}-\beta _{3}q^{3}+(-\beta _{1}+\beta _{2})q^{4}+\cdots$$
1815.2.c.f $8$ $14.493$ 8.0.49787136.1 None None $$0$$ $$0$$ $$16$$ $$0$$ $$q+\beta _{6}q^{2}-\beta _{3}q^{3}+\beta _{4}q^{4}+(2-\beta _{3}+\cdots)q^{5}+\cdots$$
1815.2.c.g $8$ $14.493$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$-8$$ $$0$$ $$q+(-\zeta_{24}+\zeta_{24}^{5})q^{2}+\zeta_{24}^{3}q^{3}+(-1+\cdots)q^{5}+\cdots$$