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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 11 19
7942.2.a.a $1$ $63.417$ \(\Q\) None \(-1\) \(-3\) \(-2\) \(1\) $+$ $-$ $-$ \(q-q^{2}-3q^{3}+q^{4}-2q^{5}+3q^{6}+q^{7}+\cdots\)
7942.2.a.b $1$ $63.417$ \(\Q\) None \(-1\) \(-2\) \(-3\) \(-1\) $+$ $-$ $+$ \(q-q^{2}-2q^{3}+q^{4}-3q^{5}+2q^{6}-q^{7}+\cdots\)
7942.2.a.c $1$ $63.417$ \(\Q\) None \(-1\) \(-2\) \(1\) \(-3\) $+$ $+$ $-$ \(q-q^{2}-2q^{3}+q^{4}+q^{5}+2q^{6}-3q^{7}+\cdots\)
7942.2.a.d $1$ $63.417$ \(\Q\) None \(-1\) \(0\) \(-4\) \(-4\) $+$ $-$ $-$ \(q-q^{2}+q^{4}-4q^{5}-4q^{7}-q^{8}-3q^{9}+\cdots\)
7942.2.a.e $1$ $63.417$ \(\Q\) None \(-1\) \(0\) \(-3\) \(3\) $+$ $+$ $+$ \(q-q^{2}+q^{4}-3q^{5}+3q^{7}-q^{8}-3q^{9}+\cdots\)
7942.2.a.f $1$ $63.417$ \(\Q\) None \(-1\) \(0\) \(1\) \(1\) $+$ $-$ $-$ \(q-q^{2}+q^{4}+q^{5}+q^{7}-q^{8}-3q^{9}+\cdots\)
7942.2.a.g $1$ $63.417$ \(\Q\) None \(-1\) \(0\) \(2\) \(2\) $+$ $-$ $-$ \(q-q^{2}+q^{4}+2q^{5}+2q^{7}-q^{8}-3q^{9}+\cdots\)
7942.2.a.h $1$ $63.417$ \(\Q\) None \(-1\) \(1\) \(-4\) \(-1\) $+$ $+$ $+$ \(q-q^{2}+q^{3}+q^{4}-4q^{5}-q^{6}-q^{7}+\cdots\)
7942.2.a.i $1$ $63.417$ \(\Q\) None \(-1\) \(1\) \(-2\) \(-3\) $+$ $+$ $-$ \(q-q^{2}+q^{3}+q^{4}-2q^{5}-q^{6}-3q^{7}+\cdots\)
7942.2.a.j $1$ $63.417$ \(\Q\) None \(-1\) \(2\) \(0\) \(2\) $+$ $-$ $-$ \(q-q^{2}+2q^{3}+q^{4}-2q^{6}+2q^{7}-q^{8}+\cdots\)
7942.2.a.k $1$ $63.417$ \(\Q\) None \(-1\) \(2\) \(2\) \(2\) $+$ $+$ $+$ \(q-q^{2}+2q^{3}+q^{4}+2q^{5}-2q^{6}+2q^{7}+\cdots\)
7942.2.a.l $1$ $63.417$ \(\Q\) None \(1\) \(-2\) \(0\) \(2\) $-$ $-$ $+$ \(q+q^{2}-2q^{3}+q^{4}-2q^{6}+2q^{7}+q^{8}+\cdots\)
7942.2.a.m $1$ $63.417$ \(\Q\) None \(1\) \(-2\) \(2\) \(2\) $-$ $+$ $+$ \(q+q^{2}-2q^{3}+q^{4}+2q^{5}-2q^{6}+2q^{7}+\cdots\)
7942.2.a.n $1$ $63.417$ \(\Q\) None \(1\) \(-1\) \(-4\) \(-1\) $-$ $+$ $+$ \(q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}-q^{7}+\cdots\)
7942.2.a.o $1$ $63.417$ \(\Q\) None \(1\) \(0\) \(-4\) \(-4\) $-$ $-$ $+$ \(q+q^{2}+q^{4}-4q^{5}-4q^{7}+q^{8}-3q^{9}+\cdots\)
7942.2.a.p $1$ $63.417$ \(\Q\) None \(1\) \(0\) \(-3\) \(3\) $-$ $+$ $-$ \(q+q^{2}+q^{4}-3q^{5}+3q^{7}+q^{8}-3q^{9}+\cdots\)
7942.2.a.q $1$ $63.417$ \(\Q\) None \(1\) \(0\) \(1\) \(1\) $-$ $-$ $+$ \(q+q^{2}+q^{4}+q^{5}+q^{7}+q^{8}-3q^{9}+\cdots\)
7942.2.a.r $1$ $63.417$ \(\Q\) None \(1\) \(2\) \(-3\) \(-1\) $-$ $-$ $-$ \(q+q^{2}+2q^{3}+q^{4}-3q^{5}+2q^{6}-q^{7}+\cdots\)
7942.2.a.s $1$ $63.417$ \(\Q\) None \(1\) \(2\) \(1\) \(-3\) $-$ $+$ $+$ \(q+q^{2}+2q^{3}+q^{4}+q^{5}+2q^{6}-3q^{7}+\cdots\)
7942.2.a.t $2$ $63.417$ \(\Q(\sqrt{5}) \) None \(-2\) \(-3\) \(-3\) \(3\) $+$ $+$ $+$ \(q-q^{2}+(-1-\beta )q^{3}+q^{4}+(-1-\beta )q^{5}+\cdots\)
7942.2.a.u $2$ $63.417$ \(\Q(\sqrt{5}) \) None \(-2\) \(-1\) \(1\) \(2\) $+$ $-$ $-$ \(q-q^{2}-\beta q^{3}+q^{4}+(2-3\beta )q^{5}+\beta q^{6}+\cdots\)
7942.2.a.v $2$ $63.417$ \(\Q(\sqrt{6}) \) None \(-2\) \(0\) \(0\) \(0\) $+$ $+$ $+$ \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}+\beta q^{7}-q^{8}+\cdots\)
7942.2.a.w $2$ $63.417$ \(\Q(\sqrt{21}) \) None \(-2\) \(1\) \(3\) \(-5\) $+$ $-$ $-$ \(q-q^{2}+\beta q^{3}+q^{4}+(2-\beta )q^{5}-\beta q^{6}+\cdots\)
7942.2.a.x $2$ $63.417$ \(\Q(\sqrt{17}) \) None \(2\) \(-1\) \(4\) \(3\) $-$ $-$ $-$ \(q+q^{2}-\beta q^{3}+q^{4}+2q^{5}-\beta q^{6}+(2+\cdots)q^{7}+\cdots\)
7942.2.a.y $2$ $63.417$ \(\Q(\sqrt{6}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $+$ $-$ \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}-\beta q^{7}+q^{8}+\cdots\)
7942.2.a.z $2$ $63.417$ \(\Q(\sqrt{5}) \) None \(2\) \(1\) \(1\) \(2\) $-$ $-$ $-$ \(q+q^{2}+\beta q^{3}+q^{4}+(2-3\beta )q^{5}+\beta q^{6}+\cdots\)
7942.2.a.ba $2$ $63.417$ \(\Q(\sqrt{5}) \) None \(2\) \(3\) \(-3\) \(3\) $-$ $+$ $+$ \(q+q^{2}+(1+\beta )q^{3}+q^{4}+(-1-\beta )q^{5}+\cdots\)
7942.2.a.bb $2$ $63.417$ \(\Q(\sqrt{13}) \) None \(2\) \(3\) \(-1\) \(-1\) $-$ $-$ $-$ \(q+q^{2}+(1+\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
7942.2.a.bc $3$ $63.417$ 3.3.469.1 None \(-3\) \(-1\) \(5\) \(1\) $+$ $+$ $-$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(2-\beta _{1})q^{5}+\beta _{1}q^{6}+\cdots\)
7942.2.a.bd $3$ $63.417$ 3.3.1940.1 None \(-3\) \(0\) \(6\) \(6\) $+$ $-$ $+$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}+2q^{5}+\beta _{1}q^{6}+\cdots\)
7942.2.a.be $3$ $63.417$ 3.3.148.1 None \(-3\) \(2\) \(2\) \(4\) $+$ $+$ $-$ \(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+2\beta _{1}q^{5}+\cdots\)
7942.2.a.bf $3$ $63.417$ 3.3.469.1 None \(-3\) \(4\) \(1\) \(-4\) $+$ $-$ $+$ \(q-q^{2}+(1+\beta _{1})q^{3}+q^{4}-\beta _{2}q^{5}+(-1+\cdots)q^{6}+\cdots\)
7942.2.a.bg $3$ $63.417$ 3.3.469.1 None \(3\) \(-4\) \(1\) \(-4\) $-$ $-$ $+$ \(q+q^{2}+(-1-\beta _{1})q^{3}+q^{4}-\beta _{2}q^{5}+\cdots\)
7942.2.a.bh $3$ $63.417$ 3.3.148.1 None \(3\) \(-2\) \(2\) \(4\) $-$ $+$ $+$ \(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+2\beta _{1}q^{5}+\cdots\)
7942.2.a.bi $3$ $63.417$ 3.3.621.1 None \(3\) \(0\) \(-3\) \(-6\) $-$ $+$ $-$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-1-\beta _{1}-\beta _{2})q^{5}+\cdots\)
7942.2.a.bj $3$ $63.417$ 3.3.1940.1 None \(3\) \(0\) \(6\) \(6\) $-$ $-$ $-$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+2q^{5}+\beta _{1}q^{6}+\cdots\)
7942.2.a.bk $6$ $63.417$ 6.6.485125.1 None \(-6\) \(5\) \(4\) \(-2\) $+$ $+$ $-$ \(q-q^{2}+(1+\beta _{2}-\beta _{4}+\beta _{5})q^{3}+q^{4}+\cdots\)
7942.2.a.bl $6$ $63.417$ 6.6.485125.1 None \(6\) \(-5\) \(4\) \(-2\) $-$ $+$ $-$ \(q+q^{2}+(-1-\beta _{2}+\beta _{4}-\beta _{5})q^{3}+q^{4}+\cdots\)
7942.2.a.bm $8$ $63.417$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(-4\) \(1\) \(4\) $+$ $-$ $-$ \(q-q^{2}+(-1+\beta _{1}-\beta _{7})q^{3}+q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots\)
7942.2.a.bn $8$ $63.417$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(-1\) \(-3\) \(0\) $+$ $-$ $-$ \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(\beta _{1}-\beta _{3})q^{5}+\cdots\)
7942.2.a.bo $8$ $63.417$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(5\) \(1\) \(-4\) $+$ $+$ $-$ \(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(-\beta _{1}-\beta _{3}+\cdots)q^{5}+\cdots\)
7942.2.a.bp $8$ $63.417$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(8\) \(-5\) \(1\) \(-4\) $-$ $+$ $-$ \(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
7942.2.a.bq $8$ $63.417$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(8\) \(1\) \(-3\) \(0\) $-$ $-$ $-$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(\beta _{1}-\beta _{3})q^{5}+\cdots\)
7942.2.a.br $8$ $63.417$ \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(8\) \(4\) \(1\) \(4\) $-$ $-$ $-$ \(q+q^{2}+(1-\beta _{1}+\beta _{7})q^{3}+q^{4}+(\beta _{2}+\cdots)q^{5}+\cdots\)
7942.2.a.bs $12$ $63.417$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-12\) \(3\) \(-9\) \(-12\) $+$ $-$ $-$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(-1+\beta _{9})q^{5}+\cdots\)
7942.2.a.bt $12$ $63.417$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-12\) \(3\) \(-9\) \(0\) $+$ $+$ $+$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(-1-\beta _{2})q^{5}+\cdots\)
7942.2.a.bu $12$ $63.417$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-12\) \(6\) \(-6\) \(-6\) $+$ $-$ $+$ \(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+\beta _{11}q^{5}+\cdots\)
7942.2.a.bv $12$ $63.417$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(12\) \(-6\) \(-6\) \(-6\) $-$ $-$ $+$ \(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+\beta _{11}q^{5}+\cdots\)
7942.2.a.bw $12$ $63.417$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(12\) \(-3\) \(-9\) \(-12\) $-$ $-$ $+$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-1+\beta _{9})q^{5}+\cdots\)
7942.2.a.bx $12$ $63.417$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(12\) \(-3\) \(-9\) \(0\) $-$ $+$ $-$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-1-\beta _{2})q^{5}+\cdots\)
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