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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2160.1.c.a $1$ $1.078$ \(\Q\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(-1\) \(0\) $-$ \(q-q^{5}+q^{17}+q^{19}-q^{23}+q^{25}+\cdots\)
2160.1.c.b $1$ $1.078$ \(\Q\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(1\) \(0\) $-$ \(q+q^{5}-q^{17}+q^{19}+q^{23}+q^{25}+\cdots\)
2160.1.c.c $4$ $1.078$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{8}^{3}q^{5}+\zeta_{8}^{2}q^{7}+(\zeta_{8}+\zeta_{8}^{3})q^{11}+\cdots\)
2160.1.r.a $8$ $1.078$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{3}q^{5}-\zeta_{24}^{3}q^{8}+\cdots\)
2160.1.ba.a $4$ $1.078$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+\zeta_{8}q^{5}-\zeta_{8}q^{8}+\cdots\)
2160.1.be.a $4$ $1.078$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}-\zeta_{8}q^{8}+\cdots\)
2160.1.bn.a $4$ $1.078$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}q^{5}+(-\zeta_{8}+\zeta_{8}^{3}+\cdots)q^{7}+\cdots\)
2160.1.bn.b $4$ $1.078$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{8}^{2}q^{2}-q^{4}-\zeta_{8}q^{5}+(\zeta_{8}-\zeta_{8}^{3}+\cdots)q^{7}+\cdots\)
2160.1.bn.c $8$ $1.078$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}+\zeta_{24}^{3}q^{5}-\zeta_{24}^{3}q^{8}+\cdots\)
2160.1.bu.a $4$ $1.078$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ \(q+\zeta_{12}^{4}q^{5}+(\zeta_{12}+\zeta_{12}^{3})q^{7}+(\zeta_{12}^{3}+\cdots)q^{23}+\cdots\)
2160.1.dq.a $12$ $1.078$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{36}^{7}q^{3}-\zeta_{36}^{16}q^{5}+(-\zeta_{36}-\zeta_{36}^{15}+\cdots)q^{7}+\cdots\)
2160.2.a.a $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-2\) $-$ \(q-q^{5}-2q^{7}-3q^{11}-q^{13}+3q^{17}+\cdots\)
2160.2.a.b $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-2\) $+$ \(q-q^{5}-2q^{7}-3q^{11}+5q^{13}-3q^{17}+\cdots\)
2160.2.a.c $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-2\) $+$ \(q-q^{5}-2q^{7}+2q^{13}+3q^{17}-5q^{19}+\cdots\)
2160.2.a.d $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-2\) $-$ \(q-q^{5}-2q^{7}+q^{11}+q^{13}+q^{17}+\cdots\)
2160.2.a.e $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-2\) $+$ \(q-q^{5}-2q^{7}+4q^{11}-2q^{13}-5q^{17}+\cdots\)
2160.2.a.f $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) $-$ \(q-q^{5}+2q^{11}-3q^{17}+q^{19}+3q^{23}+\cdots\)
2160.2.a.g $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) $+$ \(q-q^{5}+q^{7}-2q^{11}-5q^{13}+4q^{17}+\cdots\)
2160.2.a.h $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) $-$ \(q-q^{5}+q^{7}+6q^{11}-q^{13}+q^{19}+\cdots\)
2160.2.a.i $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(-1\) \(2\) $+$ \(q-q^{5}+2q^{7}-6q^{13}+7q^{17}-7q^{19}+\cdots\)
2160.2.a.j $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(-1\) \(3\) $+$ \(q-q^{5}+3q^{7}+2q^{11}-5q^{13}-8q^{17}+\cdots\)
2160.2.a.k $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(-1\) \(4\) $-$ \(q-q^{5}+4q^{7}-6q^{11}-4q^{13}-3q^{17}+\cdots\)
2160.2.a.l $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(-1\) \(4\) $-$ \(q-q^{5}+4q^{7}-2q^{11}+4q^{13}+q^{17}+\cdots\)
2160.2.a.m $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(1\) \(-2\) $+$ \(q+q^{5}-2q^{7}-4q^{11}-2q^{13}+5q^{17}+\cdots\)
2160.2.a.n $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(1\) \(-2\) $+$ \(q+q^{5}-2q^{7}-q^{11}+q^{13}-q^{17}+\cdots\)
2160.2.a.o $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(1\) \(-2\) $+$ \(q+q^{5}-2q^{7}+2q^{13}-3q^{17}-5q^{19}+\cdots\)
2160.2.a.p $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(1\) \(-2\) $+$ \(q+q^{5}-2q^{7}+3q^{11}-q^{13}-3q^{17}+\cdots\)
2160.2.a.q $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(1\) \(-2\) $-$ \(q+q^{5}-2q^{7}+3q^{11}+5q^{13}+3q^{17}+\cdots\)
2160.2.a.r $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(1\) \(0\) $-$ \(q+q^{5}-2q^{11}+3q^{17}+q^{19}-3q^{23}+\cdots\)
2160.2.a.s $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $+$ \(q+q^{5}+q^{7}-6q^{11}-q^{13}+q^{19}+\cdots\)
2160.2.a.t $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(1\) \(1\) $-$ \(q+q^{5}+q^{7}+2q^{11}-5q^{13}-4q^{17}+\cdots\)
2160.2.a.u $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(1\) \(2\) $+$ \(q+q^{5}+2q^{7}-6q^{13}-7q^{17}-7q^{19}+\cdots\)
2160.2.a.v $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(1\) \(3\) $-$ \(q+q^{5}+3q^{7}-2q^{11}-5q^{13}+8q^{17}+\cdots\)
2160.2.a.w $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(1\) \(4\) $-$ \(q+q^{5}+4q^{7}+2q^{11}+4q^{13}-q^{17}+\cdots\)
2160.2.a.x $1$ $17.248$ \(\Q\) None None \(0\) \(0\) \(1\) \(4\) $-$ \(q+q^{5}+4q^{7}+6q^{11}-4q^{13}+3q^{17}+\cdots\)
2160.2.a.y $2$ $17.248$ \(\Q(\sqrt{13}) \) None None \(0\) \(0\) \(-2\) \(-2\) $-$ \(q-q^{5}+(-1-\beta )q^{7}+(1-\beta )q^{11}+(3+\cdots)q^{13}+\cdots\)
2160.2.a.z $2$ $17.248$ \(\Q(\sqrt{73}) \) None None \(0\) \(0\) \(-2\) \(-1\) $+$ \(q-q^{5}-\beta q^{7}+(-1+\beta )q^{11}+3q^{13}+\cdots\)
2160.2.a.ba $2$ $17.248$ \(\Q(\sqrt{13}) \) None None \(0\) \(0\) \(2\) \(-2\) $-$ \(q+q^{5}+(-1-\beta )q^{7}+(-1+\beta )q^{11}+\cdots\)
2160.2.a.bb $2$ $17.248$ \(\Q(\sqrt{73}) \) None None \(0\) \(0\) \(2\) \(-1\) $-$ \(q+q^{5}-\beta q^{7}+(1-\beta )q^{11}+3q^{13}+\cdots\)
2160.2.f.a $2$ $17.248$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-4\) \(0\) $-$ \(q+(-2+i)q^{5}+2iq^{7}-2q^{11}-6iq^{13}+\cdots\)
2160.2.f.b $2$ $17.248$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-4\) \(0\) $-$ \(q+(-2-i)q^{5}+2iq^{7}+2q^{11}-2iq^{13}+\cdots\)
2160.2.f.c $2$ $17.248$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) $-$ \(q+(-1+2i)q^{5}+4iq^{7}+q^{11}-iq^{13}+\cdots\)
2160.2.f.d $2$ $17.248$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(-2\) \(0\) $-$ \(q+(-1-2i)q^{5}+4iq^{7}+5q^{11}-3iq^{13}+\cdots\)
2160.2.f.e $2$ $17.248$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(2\) \(0\) $-$ \(q+(1+2i)q^{5}+4iq^{7}-5q^{11}-3iq^{13}+\cdots\)
2160.2.f.f $2$ $17.248$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(2\) \(0\) $-$ \(q+(1-2i)q^{5}+4iq^{7}-q^{11}-iq^{13}+\cdots\)
2160.2.f.g $2$ $17.248$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) $-$ \(q+(2+i)q^{5}+2iq^{7}-2q^{11}-2iq^{13}+\cdots\)
2160.2.f.h $2$ $17.248$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(4\) \(0\) $-$ \(q+(2-i)q^{5}+2iq^{7}+2q^{11}-6iq^{13}+\cdots\)
2160.2.f.i $4$ $17.248$ \(\Q(i, \sqrt{6})\) None None \(0\) \(0\) \(-4\) \(0\) $-$ \(q+(-1-\beta _{1}+\beta _{2})q^{5}-\beta _{2}q^{7}+(-2+\cdots)q^{11}+\cdots\)
2160.2.f.j $4$ $17.248$ \(\Q(i, \sqrt{5})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{1}q^{5}+(-\beta _{1}-2\beta _{2})q^{17}+(-2+\cdots)q^{19}+\cdots\)
2160.2.f.k $4$ $17.248$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{8}^{3}q^{5}+\zeta_{8}q^{7}+(-\zeta_{8}^{2}+2\zeta_{8}^{3})q^{11}+\cdots\)
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