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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
297.1.h.a $2$ $0.148$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(-1\) \(0\) $-$ \(q+\zeta_{6}^{2}q^{4}+\zeta_{6}^{2}q^{5}+\zeta_{6}q^{11}-\zeta_{6}q^{16}+\cdots\)
297.1.q.a $6$ $0.148$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(-3\) \(0\) $-$ \(q+\zeta_{18}^{8}q^{3}+\zeta_{18}^{2}q^{4}+(-\zeta_{18}^{3}-\zeta_{18}^{7}+\cdots)q^{5}+\cdots\)
297.2.a.a $1$ $2.372$ \(\Q\) None None \(-2\) \(0\) \(-2\) \(1\) $+$ \(q-2q^{2}+2q^{4}-2q^{5}+q^{7}+4q^{10}+\cdots\)
297.2.a.b $1$ $2.372$ \(\Q\) None None \(-1\) \(0\) \(2\) \(-5\) $+$ \(q-q^{2}-q^{4}+2q^{5}-5q^{7}+3q^{8}-2q^{10}+\cdots\)
297.2.a.c $1$ $2.372$ \(\Q\) None None \(1\) \(0\) \(-2\) \(-5\) $+$ \(q+q^{2}-q^{4}-2q^{5}-5q^{7}-3q^{8}-2q^{10}+\cdots\)
297.2.a.d $1$ $2.372$ \(\Q\) None None \(2\) \(0\) \(2\) \(1\) $-$ \(q+2q^{2}+2q^{4}+2q^{5}+q^{7}+4q^{10}+\cdots\)
297.2.a.e $2$ $2.372$ \(\Q(\sqrt{3}) \) None None \(-2\) \(0\) \(-2\) \(-4\) $+$ \(q+(-1+\beta )q^{2}+(2-2\beta )q^{4}+(-1-\beta )q^{5}+\cdots\)
297.2.a.f $2$ $2.372$ \(\Q(\sqrt{3}) \) None None \(2\) \(0\) \(2\) \(-4\) $-$ \(q+(1+\beta )q^{2}+(2+2\beta )q^{4}+(1-\beta )q^{5}+\cdots\)
297.2.a.g $3$ $2.372$ 3.3.564.1 None None \(-1\) \(0\) \(2\) \(7\) $-$ \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(1+\beta _{2})q^{5}+\cdots\)
297.2.a.h $3$ $2.372$ 3.3.564.1 None None \(1\) \(0\) \(-2\) \(7\) $-$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1-\beta _{2})q^{5}+\cdots\)
297.2.d.a $8$ $2.372$ 8.0.\(\cdots\).14 None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{7}q^{2}+(1+\beta _{2})q^{4}-\beta _{5}q^{5}-\beta _{3}q^{7}+\cdots\)
297.2.d.b $8$ $2.372$ 8.0.764411904.5 None None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\beta _{6}q^{2}+(1+\beta _{5})q^{4}+\beta _{2}q^{5}+(\beta _{4}+\cdots)q^{7}+\cdots\)
297.2.e.a $2$ $2.372$ \(\Q(\sqrt{-3}) \) None None \(-2\) \(0\) \(-2\) \(-4\) $-$ \(q+(-2+2\zeta_{6})q^{2}-2\zeta_{6}q^{4}-2\zeta_{6}q^{5}+\cdots\)
297.2.e.b $2$ $2.372$ \(\Q(\sqrt{-3}) \) None None \(0\) \(0\) \(-3\) \(4\) $-$ \(q+2\zeta_{6}q^{4}-3\zeta_{6}q^{5}+(4-4\zeta_{6})q^{7}+\cdots\)
297.2.e.c $2$ $2.372$ \(\Q(\sqrt{-3}) \) None None \(1\) \(0\) \(1\) \(-4\) $-$ \(q+(1-\zeta_{6})q^{2}+\zeta_{6}q^{4}+\zeta_{6}q^{5}+(-4+\cdots)q^{7}+\cdots\)
297.2.e.d $6$ $2.372$ \(\Q(\zeta_{18})\) None None \(0\) \(0\) \(3\) \(3\) $-$ \(q+(-\zeta_{18}^{2}+\zeta_{18}^{3}+\zeta_{18}^{4}-\zeta_{18}^{5})q^{2}+\cdots\)
297.2.e.e $8$ $2.372$ 8.0.508277025.1 None None \(1\) \(0\) \(4\) \(-1\) $-$ \(q+(\beta _{2}+\beta _{6})q^{2}+(\beta _{3}+3\beta _{5})q^{4}+(\beta _{3}+\cdots)q^{5}+\cdots\)
297.2.f.a $16$ $2.372$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(-2\) \(0\) \(-1\) \(-2\) $-$ \(q+(-\beta _{6}+\beta _{12})q^{2}+(-1-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
297.2.f.b $16$ $2.372$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{12}q^{2}+(-\beta _{2}-\beta _{5}+\beta _{6}-\beta _{7}+\cdots)q^{4}+\cdots\)
297.2.f.c $16$ $2.372$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(0\) \(8\) $-$ \(q-\beta _{4}q^{2}+(1+\beta _{2}-2\beta _{3}-\beta _{5}-\beta _{6}+\cdots)q^{4}+\cdots\)
297.2.f.d $16$ $2.372$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(2\) \(0\) \(1\) \(-2\) $-$ \(q+(\beta _{6}-\beta _{12})q^{2}+(-1-\beta _{1}+\beta _{2}+\beta _{4}+\cdots)q^{4}+\cdots\)
297.2.g.a $4$ $2.372$ \(\Q(\sqrt{-3}, \sqrt{-11})\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(9\) \(0\) $-$ \(q+(2-2\beta _{2})q^{4}+(2-\beta _{1}+\beta _{2})q^{5}+(\beta _{2}+\cdots)q^{11}+\cdots\)
297.2.g.b $16$ $2.372$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{1}q^{2}+(-1-\beta _{2}+\beta _{7}+\beta _{9}-\beta _{12}+\cdots)q^{4}+\cdots\)
297.2.j.a $6$ $2.372$ \(\Q(\zeta_{18})\) None None \(-3\) \(-9\) \(-9\) \(-3\) $-$ \(q+(\zeta_{18}^{2}-\zeta_{18}^{3})q^{2}+(-2+\zeta_{18}^{3}+\cdots)q^{3}+\cdots\)
297.2.j.b $72$ $2.372$ None None \(3\) \(9\) \(12\) \(3\) $-$
297.2.j.c $102$ $2.372$ None None \(0\) \(0\) \(-6\) \(0\) $-$
297.2.k.a $32$ $2.372$ None None \(0\) \(0\) \(0\) \(0\) $-$
297.2.k.b $32$ $2.372$ None None \(0\) \(0\) \(0\) \(0\) $-$
297.2.n.a $8$ $2.372$ \(\Q(\zeta_{15})\) None None \(4\) \(0\) \(-6\) \(-1\) $-$ \(q+(-\zeta_{15}-\zeta_{15}^{2}-\zeta_{15}^{5}-\zeta_{15}^{6}+\cdots)q^{2}+\cdots\)
297.2.n.b $72$ $2.372$ None None \(1\) \(0\) \(8\) \(-2\) $-$
297.2.o.a $12$ $2.372$ 12.0.\(\cdots\).1 \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(9\) \(0\) $-$ \(q+(\beta _{3}-\beta _{7}-\beta _{9}-\beta _{10})q^{3}+(2\beta _{3}-2\beta _{7}+\cdots)q^{4}+\cdots\)
297.2.o.b $192$ $2.372$ None None \(0\) \(-12\) \(-18\) \(0\) $-$
297.2.t.a $80$ $2.372$ None None \(15\) \(0\) \(6\) \(-5\) $-$
297.2.u.a $816$ $2.372$ None None \(-18\) \(-18\) \(-21\) \(-18\) $-$
297.2.x.a $816$ $2.372$ None None \(-30\) \(-18\) \(-21\) \(-30\) $-$
297.3.b.a $2$ $8.093$ \(\Q(\sqrt{-11}) \) None None \(0\) \(0\) \(0\) \(-4\) $-$ \(q-\beta q^{2}-7q^{4}-\beta q^{5}-2q^{7}+3\beta q^{8}+\cdots\)
297.3.b.b $4$ $8.093$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(0\) \(0\) \(22\) $-$ \(q+\beta _{1}q^{2}+\beta _{3}q^{4}+(\beta _{1}-4\beta _{2})q^{5}+(5+\cdots)q^{7}+\cdots\)
297.3.b.c $8$ $8.093$ \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None None \(0\) \(0\) \(0\) \(-8\) $-$ \(q+\beta _{1}q^{2}+(-4+\beta _{2})q^{4}+(-\beta _{1}-\beta _{4}+\cdots)q^{5}+\cdots\)
297.3.b.d $12$ $8.093$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(0\) \(-12\) $-$ \(q+\beta _{5}q^{2}+(-1-\beta _{1})q^{4}+(\beta _{5}-\beta _{9}+\cdots)q^{5}+\cdots\)
297.3.c.a $16$ $8.093$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\beta _{11}q^{2}+(-2-\beta _{2})q^{4}+\beta _{10}q^{5}+\cdots\)
297.3.c.b $16$ $8.093$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{8}q^{2}+(-2+\beta _{2})q^{4}-\beta _{10}q^{5}+\cdots\)
297.3.h.a $4$ $8.093$ \(\Q(\sqrt{-3}, \sqrt{-11})\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(1\) \(0\) $-$ \(q+(-4-4\beta _{1})q^{4}+(1+\beta _{1}-\beta _{3})q^{5}+\cdots\)
297.3.h.b $40$ $8.093$ None None \(0\) \(0\) \(-2\) \(0\) $-$
297.3.i.a $40$ $8.093$ None None \(0\) \(0\) \(9\) \(2\) $-$
297.3.l.a $64$ $8.093$ None None \(0\) \(0\) \(0\) \(0\) $-$
297.3.l.b $64$ $8.093$ None None \(0\) \(0\) \(0\) \(0\) $-$
297.3.m.a $8$ $8.093$ 8.0.484000000.6 None None \(0\) \(0\) \(0\) \(6\) $-$ \(q+(\beta _{1}-\beta _{4})q^{2}+(-1-\beta _{2}-\beta _{3}+\beta _{5}+\cdots)q^{4}+\cdots\)
297.3.m.b $24$ $8.093$ None None \(0\) \(0\) \(0\) \(2\) $-$
297.3.m.c $32$ $8.093$ None None \(0\) \(0\) \(0\) \(8\) $-$
297.3.m.d $64$ $8.093$ None None \(0\) \(0\) \(0\) \(-8\) $-$
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