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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 7 13
7098.2.a.a $1$ $56.678$ \(\Q\) None \(-1\) \(-1\) \(-3\) \(1\) $+$ $+$ $-$ $+$ \(q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}+q^{7}+\cdots\)
7098.2.a.b $1$ $56.678$ \(\Q\) None \(-1\) \(-1\) \(-3\) \(1\) $+$ $+$ $-$ $+$ \(q-q^{2}-q^{3}+q^{4}-3q^{5}+q^{6}+q^{7}+\cdots\)
7098.2.a.c $1$ $56.678$ \(\Q\) None \(-1\) \(-1\) \(-2\) \(1\) $+$ $+$ $-$ $+$ \(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+q^{7}+\cdots\)
7098.2.a.d $1$ $56.678$ \(\Q\) None \(-1\) \(-1\) \(1\) \(1\) $+$ $+$ $-$ $-$ \(q-q^{2}-q^{3}+q^{4}+q^{5}+q^{6}+q^{7}+\cdots\)
7098.2.a.e $1$ $56.678$ \(\Q\) None \(-1\) \(-1\) \(2\) \(-1\) $+$ $+$ $+$ $+$ \(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}-q^{7}+\cdots\)
7098.2.a.f $1$ $56.678$ \(\Q\) None \(-1\) \(-1\) \(2\) \(1\) $+$ $+$ $-$ $+$ \(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots\)
7098.2.a.g $1$ $56.678$ \(\Q\) None \(-1\) \(-1\) \(4\) \(1\) $+$ $+$ $-$ $+$ \(q-q^{2}-q^{3}+q^{4}+4q^{5}+q^{6}+q^{7}+\cdots\)
7098.2.a.h $1$ $56.678$ \(\Q\) None \(-1\) \(1\) \(-2\) \(-1\) $+$ $-$ $+$ $+$ \(q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots\)
7098.2.a.i $1$ $56.678$ \(\Q\) None \(-1\) \(1\) \(-2\) \(-1\) $+$ $-$ $+$ $+$ \(q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots\)
7098.2.a.j $1$ $56.678$ \(\Q\) None \(-1\) \(1\) \(-2\) \(-1\) $+$ $-$ $+$ $+$ \(q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots\)
7098.2.a.k $1$ $56.678$ \(\Q\) None \(-1\) \(1\) \(-2\) \(1\) $+$ $-$ $-$ $-$ \(q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}+q^{7}+\cdots\)
7098.2.a.l $1$ $56.678$ \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) $+$ $-$ $+$ $+$ \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
7098.2.a.m $1$ $56.678$ \(\Q\) None \(-1\) \(1\) \(0\) \(1\) $+$ $-$ $-$ $+$ \(q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots\)
7098.2.a.n $1$ $56.678$ \(\Q\) None \(-1\) \(1\) \(1\) \(-1\) $+$ $-$ $+$ $+$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
7098.2.a.o $1$ $56.678$ \(\Q\) None \(-1\) \(1\) \(1\) \(-1\) $+$ $-$ $+$ $-$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{7}+\cdots\)
7098.2.a.p $1$ $56.678$ \(\Q\) None \(-1\) \(1\) \(3\) \(1\) $+$ $-$ $-$ $-$ \(q-q^{2}+q^{3}+q^{4}+3q^{5}-q^{6}+q^{7}+\cdots\)
7098.2.a.q $1$ $56.678$ \(\Q\) None \(1\) \(-1\) \(-4\) \(-1\) $-$ $+$ $+$ $+$ \(q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}-q^{7}+\cdots\)
7098.2.a.r $1$ $56.678$ \(\Q\) None \(1\) \(-1\) \(-2\) \(1\) $-$ $+$ $-$ $+$ \(q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+q^{7}+\cdots\)
7098.2.a.s $1$ $56.678$ \(\Q\) None \(1\) \(-1\) \(-1\) \(-1\) $-$ $+$ $+$ $-$ \(q+q^{2}-q^{3}+q^{4}-q^{5}-q^{6}-q^{7}+\cdots\)
7098.2.a.t $1$ $56.678$ \(\Q\) None \(1\) \(-1\) \(1\) \(1\) $-$ $+$ $-$ $+$ \(q+q^{2}-q^{3}+q^{4}+q^{5}-q^{6}+q^{7}+\cdots\)
7098.2.a.u $1$ $56.678$ \(\Q\) None \(1\) \(-1\) \(2\) \(-1\) $-$ $+$ $+$ $+$ \(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}-q^{7}+\cdots\)
7098.2.a.v $1$ $56.678$ \(\Q\) None \(1\) \(-1\) \(3\) \(-1\) $-$ $+$ $+$ $+$ \(q+q^{2}-q^{3}+q^{4}+3q^{5}-q^{6}-q^{7}+\cdots\)
7098.2.a.w $1$ $56.678$ \(\Q\) None \(1\) \(1\) \(-3\) \(-1\) $-$ $-$ $+$ $+$ \(q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}-q^{7}+\cdots\)
7098.2.a.x $1$ $56.678$ \(\Q\) None \(1\) \(1\) \(-3\) \(-1\) $-$ $-$ $+$ $-$ \(q+q^{2}+q^{3}+q^{4}-3q^{5}+q^{6}-q^{7}+\cdots\)
7098.2.a.y $1$ $56.678$ \(\Q\) None \(1\) \(1\) \(-1\) \(1\) $-$ $-$ $-$ $-$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
7098.2.a.z $1$ $56.678$ \(\Q\) None \(1\) \(1\) \(-1\) \(1\) $-$ $-$ $-$ $+$ \(q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{7}+\cdots\)
7098.2.a.ba $1$ $56.678$ \(\Q\) None \(1\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ $+$ \(q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots\)
7098.2.a.bb $1$ $56.678$ \(\Q\) None \(1\) \(1\) \(0\) \(1\) $-$ $-$ $-$ $+$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots\)
7098.2.a.bc $1$ $56.678$ \(\Q\) None \(1\) \(1\) \(2\) \(-1\) $-$ $-$ $+$ $-$ \(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}-q^{7}+\cdots\)
7098.2.a.bd $1$ $56.678$ \(\Q\) None \(1\) \(1\) \(2\) \(1\) $-$ $-$ $-$ $+$ \(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots\)
7098.2.a.be $1$ $56.678$ \(\Q\) None \(1\) \(1\) \(2\) \(1\) $-$ $-$ $-$ $+$ \(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots\)
7098.2.a.bf $1$ $56.678$ \(\Q\) None \(1\) \(1\) \(2\) \(1\) $-$ $-$ $-$ $+$ \(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots\)
7098.2.a.bg $2$ $56.678$ \(\Q(\sqrt{17}) \) None \(-2\) \(-2\) \(-3\) \(-2\) $+$ $+$ $+$ $-$ \(q-q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}+q^{6}+\cdots\)
7098.2.a.bh $2$ $56.678$ \(\Q(\sqrt{41}) \) None \(-2\) \(-2\) \(1\) \(-2\) $+$ $+$ $+$ $+$ \(q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}-q^{7}+\cdots\)
7098.2.a.bi $2$ $56.678$ \(\Q(\sqrt{17}) \) None \(-2\) \(-2\) \(1\) \(-2\) $+$ $+$ $+$ $+$ \(q-q^{2}-q^{3}+q^{4}+\beta q^{5}+q^{6}-q^{7}+\cdots\)
7098.2.a.bj $2$ $56.678$ \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(2\) \(2\) $+$ $+$ $-$ $-$ \(q-q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}+q^{6}+\cdots\)
7098.2.a.bk $2$ $56.678$ \(\Q(\sqrt{129}) \) None \(-2\) \(-2\) \(4\) \(2\) $+$ $+$ $-$ $+$ \(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+q^{7}+\cdots\)
7098.2.a.bl $2$ $56.678$ \(\Q(\sqrt{17}) \) None \(-2\) \(2\) \(-3\) \(2\) $+$ $-$ $-$ $+$ \(q-q^{2}+q^{3}+q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots\)
7098.2.a.bm $2$ $56.678$ \(\Q(\sqrt{57}) \) None \(-2\) \(2\) \(-1\) \(-2\) $+$ $-$ $+$ $+$ \(q-q^{2}+q^{3}+q^{4}-\beta q^{5}-q^{6}-q^{7}+\cdots\)
7098.2.a.bn $2$ $56.678$ \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(0\) \(2\) $+$ $-$ $-$ $-$ \(q-q^{2}+q^{3}+q^{4}+2\beta q^{5}-q^{6}+q^{7}+\cdots\)
7098.2.a.bo $2$ $56.678$ \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(2\) \(-2\) $+$ $-$ $+$ $-$ \(q-q^{2}+q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots\)
7098.2.a.bp $2$ $56.678$ \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(2\) \(2\) $+$ $-$ $-$ $-$ \(q-q^{2}+q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots\)
7098.2.a.bq $2$ $56.678$ \(\Q(\sqrt{17}) \) None \(-2\) \(2\) \(3\) \(2\) $+$ $-$ $-$ $+$ \(q-q^{2}+q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots\)
7098.2.a.br $2$ $56.678$ \(\Q(\sqrt{129}) \) None \(2\) \(-2\) \(-4\) \(-2\) $-$ $+$ $+$ $+$ \(q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}-q^{7}+\cdots\)
7098.2.a.bs $2$ $56.678$ \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(-2\) \(-2\) $-$ $+$ $+$ $-$ \(q+q^{2}-q^{3}+q^{4}+(-1+\beta )q^{5}-q^{6}+\cdots\)
7098.2.a.bt $2$ $56.678$ \(\Q(\sqrt{17}) \) None \(2\) \(-2\) \(-1\) \(2\) $-$ $+$ $-$ $+$ \(q+q^{2}-q^{3}+q^{4}-\beta q^{5}-q^{6}+q^{7}+\cdots\)
7098.2.a.bu $2$ $56.678$ \(\Q(\sqrt{57}) \) None \(2\) \(-2\) \(1\) \(-2\) $-$ $+$ $+$ $+$ \(q+q^{2}-q^{3}+q^{4}+\beta q^{5}-q^{6}-q^{7}+\cdots\)
7098.2.a.bv $2$ $56.678$ \(\Q(\sqrt{17}) \) None \(2\) \(-2\) \(3\) \(2\) $-$ $+$ $-$ $-$ \(q+q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots\)
7098.2.a.bw $2$ $56.678$ \(\Q(\sqrt{17}) \) None \(2\) \(2\) \(-3\) \(-2\) $-$ $-$ $+$ $+$ \(q+q^{2}+q^{3}+q^{4}+(-1-\beta )q^{5}+q^{6}+\cdots\)
7098.2.a.bx $2$ $56.678$ \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(-2\) \(-2\) $-$ $-$ $+$ $-$ \(q+q^{2}+q^{3}+q^{4}+(-1+\beta )q^{5}+q^{6}+\cdots\)
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