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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1104.1.o.a $2$ $0.551$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-69}) \) None \(0\) \(-2\) \(0\) \(0\) $-$ \(q-q^{3}-\beta q^{5}-\beta q^{7}+q^{9}+\beta q^{15}+\cdots\)
1104.1.o.b $2$ $0.551$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-69}) \) None \(0\) \(2\) \(0\) \(0\) $-$ \(q+q^{3}-\beta q^{5}+\beta q^{7}+q^{9}-\beta q^{15}+\cdots\)
1104.1.s.a $2$ $0.551$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-23}) \) None \(0\) \(-2\) \(0\) \(0\) $-$ \(q+iq^{2}-q^{3}-q^{4}-iq^{6}-iq^{8}+q^{9}+\cdots\)
1104.1.s.b $2$ $0.551$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-iq^{2}+iq^{3}-q^{4}+q^{6}+iq^{8}-q^{9}+\cdots\)
1104.1.s.c $4$ $0.551$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{12}^{5}q^{2}-\zeta_{12}q^{3}-\zeta_{12}^{4}q^{4}+q^{6}+\cdots\)
1104.1.s.d $4$ $0.551$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-23}) \) None \(0\) \(2\) \(0\) \(0\) $-$ \(q-\zeta_{12}q^{2}-\zeta_{12}^{4}q^{3}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{6}+\cdots\)
1104.2.a.a $1$ $8.815$ \(\Q\) None None \(0\) \(-1\) \(-2\) \(4\) $-$ \(q-q^{3}-2q^{5}+4q^{7}+q^{9}-2q^{13}+\cdots\)
1104.2.a.b $1$ $8.815$ \(\Q\) None None \(0\) \(-1\) \(0\) \(-2\) $+$ \(q-q^{3}-2q^{7}+q^{9}+2q^{13}-2q^{19}+\cdots\)
1104.2.a.c $1$ $8.815$ \(\Q\) None None \(0\) \(-1\) \(0\) \(2\) $+$ \(q-q^{3}+2q^{7}+q^{9}-4q^{11}-6q^{13}+\cdots\)
1104.2.a.d $1$ $8.815$ \(\Q\) None None \(0\) \(1\) \(-2\) \(-2\) $+$ \(q+q^{3}-2q^{5}-2q^{7}+q^{9}+2q^{11}+\cdots\)
1104.2.a.e $1$ $8.815$ \(\Q\) None None \(0\) \(1\) \(-2\) \(2\) $-$ \(q+q^{3}-2q^{5}+2q^{7}+q^{9}+6q^{11}+\cdots\)
1104.2.a.f $1$ $8.815$ \(\Q\) None None \(0\) \(1\) \(0\) \(2\) $-$ \(q+q^{3}+2q^{7}+q^{9}+2q^{13}+8q^{17}+\cdots\)
1104.2.a.g $1$ $8.815$ \(\Q\) None None \(0\) \(1\) \(2\) \(0\) $-$ \(q+q^{3}+2q^{5}+q^{9}-2q^{13}+2q^{15}+\cdots\)
1104.2.a.h $1$ $8.815$ \(\Q\) None None \(0\) \(1\) \(2\) \(4\) $-$ \(q+q^{3}+2q^{5}+4q^{7}+q^{9}+4q^{11}+\cdots\)
1104.2.a.i $1$ $8.815$ \(\Q\) None None \(0\) \(1\) \(4\) \(-2\) $-$ \(q+q^{3}+4q^{5}-2q^{7}+q^{9}+2q^{13}+\cdots\)
1104.2.a.j $2$ $8.815$ \(\Q(\sqrt{5}) \) None None \(0\) \(-2\) \(-2\) \(0\) $-$ \(q-q^{3}+(-1-\beta )q^{5}-2\beta q^{7}+q^{9}+\cdots\)
1104.2.a.k $2$ $8.815$ \(\Q(\sqrt{5}) \) None None \(0\) \(-2\) \(2\) \(-4\) $+$ \(q-q^{3}+(1+\beta )q^{5}-2q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots\)
1104.2.a.l $2$ $8.815$ \(\Q(\sqrt{2}) \) None None \(0\) \(-2\) \(4\) \(0\) $-$ \(q-q^{3}+(2+\beta )q^{5}-\beta q^{7}+q^{9}+4\beta q^{11}+\cdots\)
1104.2.a.m $2$ $8.815$ \(\Q(\sqrt{5}) \) None None \(0\) \(2\) \(-2\) \(-2\) $+$ \(q+q^{3}+(-1-\beta )q^{5}+(-1+\beta )q^{7}+\cdots\)
1104.2.a.n $2$ $8.815$ \(\Q(\sqrt{10}) \) None None \(0\) \(2\) \(0\) \(-4\) $-$ \(q+q^{3}+\beta q^{5}+(-2+\beta )q^{7}+q^{9}+4q^{13}+\cdots\)
1104.2.a.o $3$ $8.815$ 3.3.148.1 None None \(0\) \(-3\) \(0\) \(-2\) $-$ \(q-q^{3}+\beta _{2}q^{5}+(-1-\beta _{1})q^{7}+q^{9}+\cdots\)
1104.2.e.a $2$ $8.815$ \(\Q(\sqrt{-3}) \) None None \(0\) \(-3\) \(0\) \(0\) $-$ \(q+(-2+\zeta_{6})q^{3}+(2-4\zeta_{6})q^{5}+(3-3\zeta_{6})q^{9}+\cdots\)
1104.2.e.b $2$ $8.815$ \(\Q(\sqrt{-3}) \) None None \(0\) \(3\) \(0\) \(0\) $-$ \(q+(2-\zeta_{6})q^{3}+(2-4\zeta_{6})q^{5}+(3-3\zeta_{6})q^{9}+\cdots\)
1104.2.e.c $4$ $8.815$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(-1\) \(0\) \(0\) $-$ \(q+\beta _{1}q^{3}+2\beta _{2}q^{7}+(1-\beta _{2}-\beta _{3})q^{9}+\cdots\)
1104.2.e.d $4$ $8.815$ \(\Q(\sqrt{-3}, \sqrt{-11})\) None None \(0\) \(1\) \(0\) \(0\) $-$ \(q+\beta _{1}q^{3}+2\beta _{2}q^{7}+(1+\beta _{2}-\beta _{3})q^{9}+\cdots\)
1104.2.e.e $8$ $8.815$ 8.0.12960000.1 None None \(0\) \(-4\) \(0\) \(0\) $-$ \(q+(-1-\beta _{7})q^{3}+(\beta _{2}-\beta _{5})q^{5}+(-1+\cdots)q^{7}+\cdots\)
1104.2.e.f $8$ $8.815$ 8.0.\(\cdots\).1 None None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\beta _{7}q^{3}-\beta _{1}q^{5}-\beta _{1}q^{7}+\beta _{2}q^{9}+\cdots\)
1104.2.e.g $8$ $8.815$ 8.0.\(\cdots\).1 None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{7}q^{3}-\beta _{1}q^{5}+\beta _{1}q^{7}+\beta _{2}q^{9}+\cdots\)
1104.2.e.h $8$ $8.815$ 8.0.12960000.1 None None \(0\) \(4\) \(0\) \(0\) $-$ \(q+(1+\beta _{7})q^{3}+(\beta _{2}-\beta _{5})q^{5}+(1-\beta _{5}+\cdots)q^{7}+\cdots\)
1104.2.i.a $8$ $8.815$ 8.0.\(\cdots\).8 None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{2}q^{3}+\beta _{3}q^{5}-\beta _{4}q^{7}-q^{9}-2\beta _{1}q^{11}+\cdots\)
1104.2.i.b $16$ $8.815$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\beta _{5}q^{3}-\beta _{14}q^{5}+\beta _{12}q^{7}-q^{9}+\cdots\)
1104.2.m.a $6$ $8.815$ 6.0.8869743.1 \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\beta _{2}q^{3}-\beta _{3}q^{9}+(-\beta _{2}-\beta _{3}-\beta _{4}+\cdots)q^{13}+\cdots\)
1104.2.m.b $8$ $8.815$ 8.0.\(\cdots\).7 None None \(0\) \(-2\) \(0\) \(0\) $-$ \(q-\beta _{4}q^{3}-\beta _{5}q^{5}-\beta _{7}q^{7}+(-1-\beta _{3}+\cdots)q^{9}+\cdots\)
1104.2.m.c $8$ $8.815$ 8.0.40960000.1 None None \(0\) \(4\) \(0\) \(0\) $-$ \(q+(1+\beta _{4})q^{3}-\beta _{3}q^{5}-\beta _{5}q^{7}+(1-2\beta _{1}+\cdots)q^{9}+\cdots\)
1104.2.m.d $8$ $8.815$ 8.0.\(\cdots\).3 None None \(0\) \(4\) \(0\) \(0\) $-$ \(q+(\beta _{1}+\beta _{4})q^{3}+\beta _{3}q^{5}-\beta _{5}q^{7}+(-1+\cdots)q^{9}+\cdots\)
1104.2.m.e $16$ $8.815$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(-4\) \(0\) \(0\) $-$ \(q+\beta _{7}q^{3}+\beta _{5}q^{5}-\beta _{1}q^{7}+(\beta _{2}+\beta _{4}+\cdots)q^{9}+\cdots\)
1104.3.c.a $8$ $30.082$ \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\beta _{3}q^{3}+\beta _{1}q^{5}-\beta _{5}q^{7}+3q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)
1104.3.c.b $8$ $30.082$ \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{1}q^{3}+\beta _{2}q^{5}+(\beta _{2}+\beta _{7})q^{7}+3q^{9}+\cdots\)
1104.3.c.c $8$ $30.082$ 8.0.1358954496.3 None None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\beta _{1}q^{3}+(\beta _{2}-2\beta _{3}+\beta _{6})q^{5}+(2\beta _{2}+\cdots)q^{7}+\cdots\)
1104.3.c.d $24$ $30.082$ None None \(0\) \(0\) \(0\) \(0\) $-$
1104.3.g.a $14$ $30.082$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None None \(0\) \(-4\) \(0\) \(4\) $-$ \(q-\beta _{1}q^{3}-\beta _{5}q^{5}+\beta _{2}q^{7}+(1+\beta _{3}+\cdots)q^{9}+\cdots\)
1104.3.g.b $14$ $30.082$ \(\mathbb{Q}[x]/(x^{14} + \cdots)\) None None \(0\) \(4\) \(0\) \(4\) $-$ \(q-\beta _{6}q^{3}+\beta _{4}q^{5}-\beta _{5}q^{7}+(\beta _{3}-\beta _{7}+\cdots)q^{9}+\cdots\)
1104.3.g.c $16$ $30.082$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(-4\) \(0\) \(0\) $-$ \(q+\beta _{9}q^{3}-\beta _{8}q^{5}+\beta _{4}q^{7}+(-\beta _{2}+\beta _{11}+\cdots)q^{9}+\cdots\)
1104.3.g.d $44$ $30.082$ None None \(0\) \(4\) \(0\) \(-24\) $-$
1104.3.k.a $8$ $30.082$ 8.0.3830743449.1 None None \(0\) \(0\) \(-16\) \(0\) $-$ \(q+\beta _{4}q^{3}+(-2-\beta _{3})q^{5}+(\beta _{2}+2\beta _{4}+\cdots)q^{7}+\cdots\)
1104.3.k.b $8$ $30.082$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None None \(0\) \(0\) \(8\) \(0\) $-$ \(q-\beta _{3}q^{3}+(1+\beta _{2})q^{5}+(2\beta _{3}+\beta _{4}+\beta _{5}+\cdots)q^{7}+\cdots\)
1104.3.k.c $12$ $30.082$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(-8\) \(0\) $-$ \(q-\beta _{4}q^{3}+(-1-\beta _{3})q^{5}+\beta _{10}q^{7}+\cdots\)
1104.3.k.d $16$ $30.082$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(-8\) \(0\) $-$ \(q+\beta _{8}q^{3}+\beta _{3}q^{5}+(-\beta _{8}+\beta _{13})q^{7}+\cdots\)
1104.3.o.a $4$ $30.082$ \(\Q(\sqrt{3}, \sqrt{23})\) \(\Q(\sqrt{-69}) \) None \(0\) \(-12\) \(0\) \(0\) $-$ \(q-3q^{3}+\beta _{1}q^{5}+\beta _{2}q^{7}+9q^{9}-\beta _{3}q^{13}+\cdots\)
1104.3.o.b $4$ $30.082$ \(\Q(\sqrt{3}, \sqrt{23})\) \(\Q(\sqrt{-69}) \) None \(0\) \(12\) \(0\) \(0\) $-$ \(q+3q^{3}+\beta _{1}q^{5}-\beta _{2}q^{7}+9q^{9}-\beta _{3}q^{13}+\cdots\)
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