## Results (1-50 of 226 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
700.1.d.a $2$ $0.349$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-35})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{3}-iq^{7}-q^{11}-iq^{13}+iq^{17}+\cdots$$
700.1.j.a $4$ $0.349$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-5})$$ $$\Q(\sqrt{35})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{7}-\zeta_{8}q^{8}+\cdots$$
700.1.j.b $8$ $0.349$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+\zeta_{24}^{3}q^{7}+\cdots$$
700.1.u.a $4$ $0.349$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}-\zeta_{12}^{5}q^{3}+\zeta_{12}^{2}q^{4}-q^{6}+\cdots$$
700.1.bf.a $8$ $0.349$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{11}q^{2}+(\zeta_{24}^{5}+\zeta_{24}^{9})q^{3}-\zeta_{24}^{10}q^{4}+\cdots$$
700.2.a.a $1$ $5.590$ $$\Q$$ None None $$0$$ $$-3$$ $$0$$ $$-1$$ $+$ $$q-3q^{3}-q^{7}+6q^{9}+3q^{11}-q^{13}+\cdots$$
700.2.a.b $1$ $5.590$ $$\Q$$ None None $$0$$ $$-3$$ $$0$$ $$1$$ $+$ $$q-3q^{3}+q^{7}+6q^{9}-5q^{11}+3q^{13}+\cdots$$
700.2.a.c $1$ $5.590$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$1$$ $-$ $$q-2q^{3}+q^{7}+q^{9}+3q^{11}-4q^{13}+\cdots$$
700.2.a.d $1$ $5.590$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-1$$ $-$ $$q-q^{3}-q^{7}-2q^{9}+3q^{11}+q^{13}+\cdots$$
700.2.a.e $1$ $5.590$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $+$ $$q-q^{7}-3q^{9}-5q^{11}+6q^{13}-4q^{17}+\cdots$$
700.2.a.f $1$ $5.590$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $+$ $$q-q^{7}-3q^{9}-4q^{13}-4q^{17}+4q^{19}+\cdots$$
700.2.a.g $1$ $5.590$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $+$ $$q+q^{7}-3q^{9}-5q^{11}-6q^{13}+4q^{17}+\cdots$$
700.2.a.h $1$ $5.590$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $-$ $$q+q^{7}-3q^{9}+4q^{13}+4q^{17}+4q^{19}+\cdots$$
700.2.a.i $1$ $5.590$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$-1$$ $-$ $$q+2q^{3}-q^{7}+q^{9}+3q^{11}+4q^{13}+\cdots$$
700.2.a.j $1$ $5.590$ $$\Q$$ None None $$0$$ $$3$$ $$0$$ $$1$$ $-$ $$q+3q^{3}+q^{7}+6q^{9}+3q^{11}+q^{13}+\cdots$$
700.2.c.a $4$ $5.590$ $$\Q(i, \sqrt{6})$$ None None $$-4$$ $$0$$ $$0$$ $$-4$$ $$q+(-1+\beta _{1})q^{2}+\beta _{2}q^{3}-2\beta _{1}q^{4}+\cdots$$
700.2.c.b $4$ $5.590$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$0$$ $$-8$$ $$q+(-1-\zeta_{12}^{3})q^{2}+(\zeta_{12}^{2}-\zeta_{12}^{3})q^{3}+\cdots$$
700.2.c.c $4$ $5.590$ $$\Q(\zeta_{12})$$ None None $$-2$$ $$0$$ $$0$$ $$-8$$ $$q+(-1-\zeta_{12}^{3})q^{2}+(-\zeta_{12}^{2}+\zeta_{12}^{3})q^{3}+\cdots$$
700.2.c.d $4$ $5.590$ $$\Q(i, \sqrt{7})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(1+\beta _{2})q^{4}+(-2\beta _{1}+\beta _{3})q^{7}+\cdots$$
700.2.c.e $4$ $5.590$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$0$$ $$8$$ $$q+(1+\zeta_{12}^{3})q^{2}+(-\zeta_{12}^{2}+\zeta_{12}^{3})q^{3}+\cdots$$
700.2.c.f $4$ $5.590$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$0$$ $$8$$ $$q+(1+\zeta_{12}^{3})q^{2}+(\zeta_{12}^{2}-\zeta_{12}^{3})q^{3}+\cdots$$
700.2.c.g $4$ $5.590$ $$\Q(i, \sqrt{6})$$ None None $$4$$ $$0$$ $$0$$ $$4$$ $$q+(1-\beta _{1})q^{2}+\beta _{2}q^{3}-2\beta _{1}q^{4}+(\beta _{2}+\cdots)q^{6}+\cdots$$
700.2.c.h $8$ $5.590$ 8.0.49787136.1 $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(-1+\beta _{2})q^{4}+(\beta _{1}-\beta _{7})q^{7}+\cdots$$
700.2.c.i $8$ $5.590$ 8.0.342102016.5 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{2}+(\beta _{3}+\beta _{4})q^{3}+(\beta _{3}+\beta _{4}+\beta _{7})q^{4}+\cdots$$
700.2.c.j $8$ $5.590$ 8.0.342102016.5 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{5}q^{2}+(-\beta _{3}-\beta _{4})q^{3}+(\beta _{3}+\beta _{4}+\cdots)q^{4}+\cdots$$
700.2.c.k $16$ $5.590$ 16.0.$$\cdots$$.7 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{7}q^{2}+(-\beta _{5}+\beta _{6}-\beta _{7}+\beta _{8}-\beta _{9}+\cdots)q^{3}+\cdots$$
700.2.e.a $2$ $5.590$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+3iq^{3}+iq^{7}-6q^{9}-5q^{11}-3iq^{13}+\cdots$$
700.2.e.b $2$ $5.590$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+2iq^{3}+iq^{7}-q^{9}+3q^{11}+4iq^{13}+\cdots$$
700.2.e.c $2$ $5.590$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}-iq^{7}+2q^{9}+3q^{11}-iq^{13}+\cdots$$
700.2.e.d $2$ $5.590$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{7}+3q^{9}-5q^{11}-6iq^{13}-4iq^{17}+\cdots$$
700.2.g.a $2$ $5.590$ $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{2}+(-2+\beta )q^{4}+(1-2\beta )q^{7}+\cdots$$
700.2.g.b $4$ $5.590$ $$\Q(i, \sqrt{6})$$ None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+(-1+\beta _{1})q^{2}-\beta _{3}q^{3}-2\beta _{1}q^{4}+\cdots$$
700.2.g.c $4$ $5.590$ $$\Q(\sqrt{-3}, \sqrt{-7})$$ $$\Q(\sqrt{-7})$$ None $$-1$$ $$0$$ $$0$$ $$0$$ $$q+(-\beta _{1}-\beta _{3})q^{2}+(1+\beta _{2})q^{4}+(1-2\beta _{3})q^{7}+\cdots$$
700.2.g.d $4$ $5.590$ $$\Q(\sqrt{-2}, \sqrt{-5})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+(2\beta _{1}-\beta _{2})q^{3}-2q^{4}+2\beta _{3}q^{6}+\cdots$$
700.2.g.e $4$ $5.590$ $$\Q(\sqrt{-3}, \sqrt{-7})$$ $$\Q(\sqrt{-7})$$ None $$1$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{1}+\beta _{3})q^{2}+(1+\beta _{2})q^{4}+(-1+2\beta _{3})q^{7}+\cdots$$
700.2.g.f $4$ $5.590$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{12}-\zeta_{12}^{2})q^{2}+(-\zeta_{12}+\zeta_{12}^{2}+\cdots)q^{3}+\cdots$$
700.2.g.g $4$ $5.590$ $$\Q(\zeta_{12})$$ None None $$2$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{12}-\zeta_{12}^{2})q^{2}+(\zeta_{12}-\zeta_{12}^{2}+\zeta_{12}^{3})q^{3}+\cdots$$
700.2.g.h $4$ $5.590$ $$\Q(i, \sqrt{6})$$ None None $$4$$ $$0$$ $$0$$ $$0$$ $$q+(1-\beta _{1})q^{2}-\beta _{3}q^{3}-2\beta _{1}q^{4}+(\beta _{2}+\cdots)q^{6}+\cdots$$
700.2.g.i $8$ $5.590$ 8.0.5473632256.3 None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+(-1+\beta _{4})q^{2}+(-1+\beta _{1}-\beta _{2}+\beta _{5}+\cdots)q^{3}+\cdots$$
700.2.g.j $8$ $5.590$ 8.0.342102016.5 None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+(\beta _{5}-\beta _{7})q^{3}+(-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots$$
700.2.g.k $8$ $5.590$ 8.0.5473632256.3 None None $$4$$ $$0$$ $$0$$ $$0$$ $$q+(1-\beta _{4})q^{2}+(1-\beta _{1}+\beta _{2}-\beta _{5})q^{3}+\cdots$$
700.2.g.l $16$ $5.590$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+\beta _{10}q^{3}+(1-\beta _{4})q^{4}+\beta _{14}q^{6}+\cdots$$
700.2.i.a $2$ $5.590$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$-3$$ $$0$$ $$-1$$ $$q+(-3+3\zeta_{6})q^{3}+(1-3\zeta_{6})q^{7}-6\zeta_{6}q^{9}+\cdots$$
700.2.i.b $2$ $5.590$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$0$$ $$-5$$ $$q+(1-\zeta_{6})q^{3}+(-3+\zeta_{6})q^{7}+2\zeta_{6}q^{9}+\cdots$$
700.2.i.c $2$ $5.590$ $$\Q(\sqrt{-3})$$ None None $$0$$ $$1$$ $$0$$ $$4$$ $$q+(1-\zeta_{6})q^{3}+(3-2\zeta_{6})q^{7}+2\zeta_{6}q^{9}+\cdots$$
700.2.i.d $6$ $5.590$ 6.0.1783323.2 None None $$0$$ $$-1$$ $$0$$ $$4$$ $$q+(-\beta _{3}+\beta _{5})q^{3}+(1-\beta _{2}-\beta _{3}+\beta _{5})q^{7}+\cdots$$
700.2.i.e $6$ $5.590$ 6.0.1783323.2 None None $$0$$ $$1$$ $$0$$ $$-4$$ $$q+(\beta _{3}-\beta _{5})q^{3}+(-1+\beta _{2}+\beta _{3}-\beta _{5})q^{7}+\cdots$$
700.2.i.f $8$ $5.590$ 8.0.2702336256.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\beta _{4}-\beta _{6})q^{3}+(\beta _{3}-\beta _{4})q^{7}+(1+\beta _{1}+\cdots)q^{11}+\cdots$$
700.2.k.a $24$ $5.590$ None None $$0$$ $$0$$ $$0$$ $$0$$
700.2.k.b $36$ $5.590$ None None $$0$$ $$0$$ $$0$$ $$0$$