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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1805.1.f.a $2$ $0.901$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-2\) \(2\) $-$ \(q+iq^{4}-q^{5}+(1-i)q^{7}-iq^{9}-q^{16}+\cdots\)
1805.1.h.a $2$ $0.901$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-95}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(-1\) \(0\) $-$ \(q+\zeta_{6}q^{4}+\zeta_{6}^{2}q^{5}+\zeta_{6}q^{9}-q^{11}+\cdots\)
1805.1.h.b $4$ $0.901$ \(\Q(\sqrt{2}, \sqrt{-3})\) \(\Q(\sqrt{-95}) \) None \(0\) \(0\) \(2\) \(0\) $-$ \(q-\beta _{1}q^{2}+\beta _{1}q^{3}+\beta _{2}q^{4}+(1+\beta _{2}+\cdots)q^{5}+\cdots\)
1805.1.m.a $4$ $0.901$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(2\) \(4\) $-$ \(q-\zeta_{12}^{5}q^{4}-\zeta_{12}^{4}q^{5}+(1-\zeta_{12}^{3}+\cdots)q^{7}+\cdots\)
1805.1.o.a $6$ $0.901$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-95}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{18}^{2}q^{4}-\zeta_{18}^{7}q^{5}-\zeta_{18}^{8}q^{9}+\cdots\)
1805.1.o.b $12$ $0.901$ 12.0.\(\cdots\).2 \(\Q(\sqrt{-95}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+(\beta _{5}+\beta _{11})q^{2}+\beta _{5}q^{3}+(-\beta _{4}-\beta _{10}+\cdots)q^{4}+\cdots\)
1805.1.r.a $12$ $0.901$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(-6\) $-$ \(q-\zeta_{36}^{7}q^{4}+\zeta_{36}^{2}q^{5}+(\zeta_{36}^{3}+\zeta_{36}^{12}+\cdots)q^{7}+\cdots\)
1805.2.a.a $1$ $14.413$ \(\Q\) None None \(0\) \(-2\) \(-1\) \(-4\) $+$ \(q-2q^{3}-2q^{4}-q^{5}-4q^{7}+q^{9}+3q^{11}+\cdots\)
1805.2.a.b $1$ $14.413$ \(\Q\) None None \(0\) \(2\) \(-1\) \(-4\) $-$ \(q+2q^{3}-2q^{4}-q^{5}-4q^{7}+q^{9}+3q^{11}+\cdots\)
1805.2.a.c $2$ $14.413$ \(\Q(\sqrt{5}) \) None None \(-3\) \(-3\) \(-2\) \(-4\) $-$ \(q+(-1-\beta )q^{2}+(-1-\beta )q^{3}+3\beta q^{4}+\cdots\)
1805.2.a.d $2$ $14.413$ \(\Q(\sqrt{5}) \) None None \(0\) \(0\) \(-2\) \(-4\) $+$ \(q-\beta q^{2}+3q^{4}-q^{5}-2q^{7}-\beta q^{8}+\cdots\)
1805.2.a.e $2$ $14.413$ \(\Q(\sqrt{5}) \) None None \(3\) \(3\) \(-2\) \(-4\) $-$ \(q+(1+\beta )q^{2}+(1+\beta )q^{3}+3\beta q^{4}-q^{5}+\cdots\)
1805.2.a.f $3$ $14.413$ 3.3.148.1 None None \(-1\) \(-2\) \(3\) \(0\) $+$ \(q-\beta _{1}q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+(\beta _{1}+\cdots)q^{4}+\cdots\)
1805.2.a.g $3$ $14.413$ 3.3.361.1 None None \(-1\) \(-1\) \(-3\) \(2\) $-$ \(q-\beta _{1}q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+(2+\beta _{2})q^{4}+\cdots\)
1805.2.a.h $3$ $14.413$ 3.3.361.1 None None \(1\) \(1\) \(-3\) \(2\) $+$ \(q+(1-\beta _{1}-\beta _{2})q^{2}+\beta _{2}q^{3}+(2+\beta _{1}+\cdots)q^{4}+\cdots\)
1805.2.a.i $4$ $14.413$ 4.4.7537.1 None None \(-1\) \(-3\) \(4\) \(-4\) $+$ \(q+\beta _{2}q^{2}+(-1+\beta _{1})q^{3}+(1-\beta _{2}+\beta _{3})q^{4}+\cdots\)
1805.2.a.j $4$ $14.413$ 4.4.2225.1 None None \(-1\) \(-1\) \(4\) \(-11\) $+$ \(q-\beta _{1}q^{2}+(\beta _{1}+\beta _{3})q^{3}+(1+\beta _{1}+\beta _{3})q^{4}+\cdots\)
1805.2.a.k $4$ $14.413$ \(\Q(\zeta_{20})^+\) None None \(0\) \(0\) \(-4\) \(2\) $+$ \(q+(\beta _{1}-\beta _{3})q^{3}-2q^{4}-q^{5}+(1+\beta _{2}+\cdots)q^{7}+\cdots\)
1805.2.a.l $4$ $14.413$ \(\Q(\zeta_{20})^+\) None None \(0\) \(0\) \(-4\) \(-8\) $+$ \(q+\beta _{1}q^{2}+\beta _{1}q^{3}+(1+\beta _{2})q^{4}-q^{5}+\cdots\)
1805.2.a.m $4$ $14.413$ 4.4.7168.1 None None \(0\) \(0\) \(4\) \(8\) $-$ \(q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{3})q^{3}+(1+\beta _{2}+\cdots)q^{4}+\cdots\)
1805.2.a.n $4$ $14.413$ 4.4.2225.1 None None \(1\) \(1\) \(4\) \(-11\) $+$ \(q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{3})q^{3}+(1+\beta _{1}+\cdots)q^{4}+\cdots\)
1805.2.a.o $4$ $14.413$ 4.4.7537.1 None None \(1\) \(3\) \(4\) \(-4\) $-$ \(q-\beta _{2}q^{2}+(1-\beta _{1})q^{3}+(1-\beta _{2}+\beta _{3})q^{4}+\cdots\)
1805.2.a.p $4$ $14.413$ 4.4.11344.1 None None \(2\) \(-2\) \(-4\) \(4\) $-$ \(q-\beta _{2}q^{2}+\beta _{3}q^{3}+(1+\beta _{1}-\beta _{2})q^{4}+\cdots\)
1805.2.a.q $6$ $14.413$ 6.6.5822000.1 None None \(-2\) \(-4\) \(-6\) \(7\) $-$ \(q+(-1+\beta _{1}-\beta _{3})q^{2}+(-1-\beta _{3}+\beta _{4}+\cdots)q^{3}+\cdots\)
1805.2.a.r $6$ $14.413$ 6.6.5822000.1 None None \(2\) \(4\) \(-6\) \(7\) $-$ \(q+(1-\beta _{1}+\beta _{3})q^{2}+(1+\beta _{3}-\beta _{4})q^{3}+\cdots\)
1805.2.a.s $9$ $14.413$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(-6\) \(-9\) \(9\) \(0\) $+$ \(q+(-1+\beta _{1})q^{2}+(-1+\beta _{7})q^{3}+(\beta _{4}+\cdots)q^{4}+\cdots\)
1805.2.a.t $9$ $14.413$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(-3\) \(-9\) \(0\) $+$ \(q+\beta _{1}q^{2}+(-\beta _{1}-\beta _{5})q^{3}+(1+\beta _{1}+\cdots)q^{4}+\cdots\)
1805.2.a.u $9$ $14.413$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(3\) \(-9\) \(0\) $-$ \(q-\beta _{1}q^{2}+(\beta _{1}+\beta _{5})q^{3}+(1+\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
1805.2.a.v $9$ $14.413$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(6\) \(9\) \(9\) \(0\) $-$ \(q+(1-\beta _{1})q^{2}+(1-\beta _{7})q^{3}+(\beta _{4}+\beta _{6}+\cdots)q^{4}+\cdots\)
1805.2.a.w $16$ $14.413$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None None \(0\) \(0\) \(16\) \(22\) $-$ \(q+\beta _{1}q^{2}+\beta _{12}q^{3}+(2-\beta _{5}+\beta _{6})q^{4}+\cdots\)
1805.2.b.a $2$ $14.413$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) $-$ \(q+iq^{2}-2q^{4}+(-1+i)q^{5}+2iq^{7}+\cdots\)
1805.2.b.b $2$ $14.413$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) $-$ \(q+iq^{2}-2q^{4}+(-1-i)q^{5}-2iq^{7}+\cdots\)
1805.2.b.c $2$ $14.413$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) $-$ \(q+iq^{2}+q^{4}+(-1-2i)q^{5}+2iq^{7}+\cdots\)
1805.2.b.d $2$ $14.413$ \(\Q(\sqrt{-19}) \) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-1\) \(0\) $-$ \(q+2q^{4}+(-1+\beta )q^{5}+(-1+2\beta )q^{7}+\cdots\)
1805.2.b.e $6$ $14.413$ 6.0.16516096.1 None None \(0\) \(0\) \(-1\) \(0\) $-$ \(q-\beta _{5}q^{2}+(-\beta _{1}+\beta _{3}+\beta _{4}-\beta _{5})q^{3}+\cdots\)
1805.2.b.f $6$ $14.413$ 6.0.4227136.1 None None \(0\) \(0\) \(2\) \(0\) $-$ \(q+(\beta _{1}+\beta _{5})q^{2}+(-\beta _{1}-\beta _{4}-\beta _{5})q^{3}+\cdots\)
1805.2.b.g $6$ $14.413$ 6.0.4227136.1 None None \(0\) \(0\) \(2\) \(0\) $-$ \(q+(\beta _{1}+\beta _{5})q^{2}+(-\beta _{1}-\beta _{4}-\beta _{5})q^{3}+\cdots\)
1805.2.b.h $8$ $14.413$ 8.0.\(\cdots\).2 \(\Q(\sqrt{-95}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{1}q^{2}+\beta _{5}q^{3}+(-2+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)
1805.2.b.i $16$ $14.413$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(4\) \(0\) $-$ \(q+\beta _{1}q^{2}+\beta _{8}q^{3}+(-1+\beta _{2})q^{4}+\beta _{3}q^{5}+\cdots\)
1805.2.b.j $16$ $14.413$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(0\) \(0\) \(4\) \(0\) $-$ \(q+\beta _{1}q^{2}+\beta _{8}q^{3}+(-1+\beta _{2})q^{4}-\beta _{4}q^{5}+\cdots\)
1805.2.b.k $24$ $14.413$ None None \(0\) \(0\) \(-3\) \(0\) $-$
1805.2.b.l $24$ $14.413$ None None \(0\) \(0\) \(-3\) \(0\) $-$
1805.2.b.m $40$ $14.413$ None None \(0\) \(0\) \(6\) \(0\) $-$
1805.4.a.a $1$ $106.498$ \(\Q\) None None \(-5\) \(-4\) \(5\) \(-32\) $+$ \(q-5q^{2}-4q^{3}+17q^{4}+5q^{5}+20q^{6}+\cdots\)
1805.4.a.b $1$ $106.498$ \(\Q\) None None \(-5\) \(5\) \(5\) \(-19\) $-$ \(q-5q^{2}+5q^{3}+17q^{4}+5q^{5}-5^{2}q^{6}+\cdots\)
1805.4.a.c $1$ $106.498$ \(\Q\) None None \(-3\) \(-7\) \(5\) \(11\) $+$ \(q-3q^{2}-7q^{3}+q^{4}+5q^{5}+21q^{6}+\cdots\)
1805.4.a.d $1$ $106.498$ \(\Q\) None None \(-3\) \(5\) \(-5\) \(-1\) $-$ \(q-3q^{2}+5q^{3}+q^{4}-5q^{5}-15q^{6}+\cdots\)
1805.4.a.e $1$ $106.498$ \(\Q\) None None \(-1\) \(-5\) \(5\) \(22\) $-$ \(q-q^{2}-5q^{3}-7q^{4}+5q^{5}+5q^{6}+\cdots\)
1805.4.a.f $1$ $106.498$ \(\Q\) None None \(0\) \(-4\) \(-5\) \(-22\) $-$ \(q-4q^{3}-8q^{4}-5q^{5}-22q^{7}-11q^{9}+\cdots\)
1805.4.a.g $1$ $106.498$ \(\Q\) None None \(1\) \(5\) \(5\) \(22\) $+$ \(q+q^{2}+5q^{3}-7q^{4}+5q^{5}+5q^{6}+\cdots\)
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