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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3
576.4.a.a $1$ $33.985$ \(\Q\) None \(0\) \(0\) \(-18\) \(-8\) $-$ $-$ \(q-18q^{5}-8q^{7}-6^{2}q^{11}+10q^{13}+\cdots\)
576.4.a.c $1$ $33.985$ \(\Q\) None \(0\) \(0\) \(-16\) \(-12\) $+$ $+$ \(q-2^{4}q^{5}-12q^{7}-2^{6}q^{11}-58q^{13}+\cdots\)
576.4.a.e $1$ $33.985$ \(\Q\) None \(0\) \(0\) \(-14\) \(-36\) $-$ $-$ \(q-14q^{5}-6^{2}q^{7}-6^{2}q^{11}-54q^{13}+\cdots\)
576.4.a.f $1$ $33.985$ \(\Q\) None \(0\) \(0\) \(-14\) \(36\) $-$ $-$ \(q-14q^{5}+6^{2}q^{7}+6^{2}q^{11}-54q^{13}+\cdots\)
576.4.a.j $1$ $33.985$ \(\Q\) None \(0\) \(0\) \(-2\) \(-24\) $-$ $-$ \(q-2q^{5}-24q^{7}+44q^{11}-22q^{13}+\cdots\)
576.4.a.m $1$ $33.985$ \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(20\) $+$ $+$ \(q+20q^{7}+70q^{13}-56q^{19}-5^{3}q^{25}+\cdots\)
576.4.a.n $1$ $33.985$ \(\Q\) None \(0\) \(0\) \(2\) \(-12\) $-$ $-$ \(q+2q^{5}-12q^{7}-60q^{11}+42q^{13}+\cdots\)
576.4.a.o $1$ $33.985$ \(\Q\) None \(0\) \(0\) \(2\) \(12\) $-$ $-$ \(q+2q^{5}+12q^{7}+60q^{11}+42q^{13}+\cdots\)
576.4.a.r $1$ $33.985$ \(\Q\) None \(0\) \(0\) \(6\) \(16\) $-$ $-$ \(q+6q^{5}+2^{4}q^{7}-12q^{11}-38q^{13}+\cdots\)
576.4.a.v $1$ $33.985$ \(\Q\) None \(0\) \(0\) \(14\) \(24\) $-$ $-$ \(q+14q^{5}+24q^{7}+28q^{11}+74q^{13}+\cdots\)
576.4.a.w $1$ $33.985$ \(\Q\) None \(0\) \(0\) \(16\) \(-12\) $+$ $+$ \(q+2^{4}q^{5}-12q^{7}+2^{6}q^{11}-58q^{13}+\cdots\)
576.4.a.y $1$ $33.985$ \(\Q\) \(\Q(\sqrt{-1}) \) \(0\) \(0\) \(22\) \(0\) $-$ $-$ \(q+22q^{5}+18q^{13}+94q^{17}+359q^{25}+\cdots\)
576.4.a.z $2$ $33.985$ \(\Q(\sqrt{13}) \) None \(0\) \(0\) \(0\) \(0\) $+$ $+$ \(q-\beta q^{5}+2\beta q^{7}-2^{5}q^{11}+14q^{13}+\cdots\)
576.4.a.ba $2$ $33.985$ \(\Q(\sqrt{13}) \) None \(0\) \(0\) \(0\) \(0\) $+$ $+$ \(q-\beta q^{5}-2\beta q^{7}+2^{5}q^{11}+14q^{13}+\cdots\)
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