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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 5 7 13
7280.2.a.a $1$ $58.131$ \(\Q\) None \(0\) \(-2\) \(-1\) \(-1\) $+$ $+$ $+$ $+$ \(q-2q^{3}-q^{5}-q^{7}+q^{9}-6q^{11}-q^{13}+\cdots\)
7280.2.a.b $1$ $58.131$ \(\Q\) None \(0\) \(-2\) \(-1\) \(-1\) $-$ $+$ $+$ $-$ \(q-2q^{3}-q^{5}-q^{7}+q^{9}-4q^{11}+q^{13}+\cdots\)
7280.2.a.c $1$ $58.131$ \(\Q\) None \(0\) \(-2\) \(-1\) \(1\) $+$ $+$ $-$ $+$ \(q-2q^{3}-q^{5}+q^{7}+q^{9}+2q^{11}-q^{13}+\cdots\)
7280.2.a.d $1$ $58.131$ \(\Q\) None \(0\) \(-2\) \(1\) \(1\) $+$ $-$ $-$ $+$ \(q-2q^{3}+q^{5}+q^{7}+q^{9}-q^{13}-2q^{15}+\cdots\)
7280.2.a.e $1$ $58.131$ \(\Q\) None \(0\) \(-2\) \(1\) \(1\) $+$ $-$ $-$ $+$ \(q-2q^{3}+q^{5}+q^{7}+q^{9}+4q^{11}-q^{13}+\cdots\)
7280.2.a.f $1$ $58.131$ \(\Q\) None \(0\) \(-1\) \(-1\) \(-1\) $-$ $+$ $+$ $-$ \(q-q^{3}-q^{5}-q^{7}-2q^{9}+3q^{11}+q^{13}+\cdots\)
7280.2.a.g $1$ $58.131$ \(\Q\) None \(0\) \(-1\) \(1\) \(-1\) $-$ $-$ $+$ $-$ \(q-q^{3}+q^{5}-q^{7}-2q^{9}+3q^{11}+q^{13}+\cdots\)
7280.2.a.h $1$ $58.131$ \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) $-$ $+$ $+$ $+$ \(q-q^{5}-q^{7}-3q^{9}-4q^{11}-q^{13}+\cdots\)
7280.2.a.i $1$ $58.131$ \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) $+$ $+$ $+$ $+$ \(q-q^{5}-q^{7}-3q^{9}-q^{13}+6q^{17}+\cdots\)
7280.2.a.j $1$ $58.131$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $+$ $+$ $-$ $-$ \(q-q^{5}+q^{7}-3q^{9}-2q^{11}+q^{13}+\cdots\)
7280.2.a.k $1$ $58.131$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $-$ $+$ $-$ $+$ \(q-q^{5}+q^{7}-3q^{9}-q^{13}-2q^{17}+\cdots\)
7280.2.a.l $1$ $58.131$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $-$ $+$ $-$ $-$ \(q-q^{5}+q^{7}-3q^{9}+6q^{11}+q^{13}+\cdots\)
7280.2.a.m $1$ $58.131$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $+$ $-$ $+$ $+$ \(q+q^{5}-q^{7}-3q^{9}+2q^{11}-q^{13}+\cdots\)
7280.2.a.n $1$ $58.131$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $-$ $-$ $+$ $+$ \(q+q^{5}-q^{7}-3q^{9}+2q^{11}-q^{13}+\cdots\)
7280.2.a.o $1$ $58.131$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $-$ $-$ $-$ $-$ \(q+q^{5}+q^{7}-3q^{9}+q^{13}-6q^{17}+\cdots\)
7280.2.a.p $1$ $58.131$ \(\Q\) None \(0\) \(1\) \(-1\) \(-1\) $-$ $+$ $+$ $+$ \(q+q^{3}-q^{5}-q^{7}-2q^{9}+5q^{11}-q^{13}+\cdots\)
7280.2.a.q $1$ $58.131$ \(\Q\) None \(0\) \(1\) \(-1\) \(1\) $+$ $+$ $-$ $+$ \(q+q^{3}-q^{5}+q^{7}-2q^{9}-5q^{11}-q^{13}+\cdots\)
7280.2.a.r $1$ $58.131$ \(\Q\) None \(0\) \(1\) \(1\) \(1\) $+$ $-$ $-$ $+$ \(q+q^{3}+q^{5}+q^{7}-2q^{9}+3q^{11}-q^{13}+\cdots\)
7280.2.a.s $1$ $58.131$ \(\Q\) None \(0\) \(2\) \(-1\) \(-1\) $-$ $+$ $+$ $-$ \(q+2q^{3}-q^{5}-q^{7}+q^{9}+q^{13}-2q^{15}+\cdots\)
7280.2.a.t $1$ $58.131$ \(\Q\) None \(0\) \(2\) \(-1\) \(-1\) $-$ $+$ $+$ $-$ \(q+2q^{3}-q^{5}-q^{7}+q^{9}+q^{13}-2q^{15}+\cdots\)
7280.2.a.u $1$ $58.131$ \(\Q\) None \(0\) \(2\) \(1\) \(-1\) $+$ $-$ $+$ $-$ \(q+2q^{3}+q^{5}-q^{7}+q^{9}+2q^{11}+q^{13}+\cdots\)
7280.2.a.v $1$ $58.131$ \(\Q\) None \(0\) \(2\) \(1\) \(1\) $-$ $-$ $-$ $+$ \(q+2q^{3}+q^{5}+q^{7}+q^{9}+4q^{11}-q^{13}+\cdots\)
7280.2.a.w $1$ $58.131$ \(\Q\) None \(0\) \(3\) \(-1\) \(1\) $-$ $+$ $-$ $-$ \(q+3q^{3}-q^{5}+q^{7}+6q^{9}-3q^{11}+\cdots\)
7280.2.a.x $2$ $58.131$ \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(-2\) $-$ $+$ $+$ $-$ \(q+(-1+\beta )q^{3}-q^{5}-q^{7}+(1-2\beta )q^{9}+\cdots\)
7280.2.a.y $2$ $58.131$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(-2\) \(2\) $-$ $+$ $-$ $-$ \(q+(-1-\beta )q^{3}-q^{5}+q^{7}+(3+2\beta )q^{9}+\cdots\)
7280.2.a.z $2$ $58.131$ \(\Q(\sqrt{5}) \) None \(0\) \(-1\) \(2\) \(-2\) $+$ $-$ $+$ $-$ \(q-\beta q^{3}+q^{5}-q^{7}+(-2+\beta )q^{9}+4\beta q^{11}+\cdots\)
7280.2.a.ba $2$ $58.131$ \(\Q(\sqrt{5}) \) None \(0\) \(-1\) \(2\) \(2\) $-$ $-$ $-$ $-$ \(q-\beta q^{3}+q^{5}+q^{7}+(-2+\beta )q^{9}-2\beta q^{11}+\cdots\)
7280.2.a.bb $2$ $58.131$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(2\) \(2\) $-$ $-$ $-$ $-$ \(q-\beta q^{3}+q^{5}+q^{7}+(1+\beta )q^{9}+\beta q^{11}+\cdots\)
7280.2.a.bc $2$ $58.131$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(-2\) $-$ $-$ $+$ $-$ \(q+\beta q^{3}+q^{5}-q^{7}+5q^{9}-4q^{11}+\cdots\)
7280.2.a.bd $2$ $58.131$ \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(2\) $+$ $-$ $-$ $-$ \(q+q^{5}+q^{7}-3q^{9}+\beta q^{11}+q^{13}+\cdots\)
7280.2.a.be $2$ $58.131$ \(\Q(\sqrt{13}) \) None \(0\) \(1\) \(-2\) \(-2\) $-$ $+$ $+$ $+$ \(q+\beta q^{3}-q^{5}-q^{7}+\beta q^{9}+2q^{11}+\cdots\)
7280.2.a.bf $2$ $58.131$ \(\Q(\sqrt{5}) \) None \(0\) \(1\) \(-2\) \(2\) $-$ $+$ $-$ $+$ \(q+\beta q^{3}-q^{5}+q^{7}+(-2+\beta )q^{9}+2\beta q^{11}+\cdots\)
7280.2.a.bg $2$ $58.131$ \(\Q(\sqrt{17}) \) None \(0\) \(1\) \(-2\) \(2\) $-$ $+$ $-$ $+$ \(q+\beta q^{3}-q^{5}+q^{7}+(1+\beta )q^{9}-\beta q^{11}+\cdots\)
7280.2.a.bh $2$ $58.131$ \(\Q(\sqrt{13}) \) None \(0\) \(1\) \(2\) \(-2\) $+$ $-$ $+$ $+$ \(q+\beta q^{3}+q^{5}-q^{7}+\beta q^{9}+(2-2\beta )q^{11}+\cdots\)
7280.2.a.bi $2$ $58.131$ \(\Q(\sqrt{5}) \) None \(0\) \(1\) \(2\) \(2\) $+$ $-$ $-$ $+$ \(q+\beta q^{3}+q^{5}+q^{7}+(-2+\beta )q^{9}-q^{13}+\cdots\)
7280.2.a.bj $2$ $58.131$ \(\Q(\sqrt{13}) \) None \(0\) \(3\) \(-2\) \(-2\) $-$ $+$ $+$ $-$ \(q+(1+\beta )q^{3}-q^{5}-q^{7}+(1+3\beta )q^{9}+\cdots\)
7280.2.a.bk $2$ $58.131$ \(\Q(\sqrt{5}) \) None \(0\) \(3\) \(2\) \(-2\) $-$ $-$ $+$ $-$ \(q+(1+\beta )q^{3}+q^{5}-q^{7}+(-1+3\beta )q^{9}+\cdots\)
7280.2.a.bl $3$ $58.131$ 3.3.229.1 None \(0\) \(-1\) \(3\) \(-3\) $-$ $-$ $+$ $+$ \(q+\beta _{2}q^{3}+q^{5}-q^{7}+(1-\beta _{1})q^{9}+(-2+\cdots)q^{11}+\cdots\)
7280.2.a.bm $3$ $58.131$ 3.3.1573.1 None \(0\) \(-1\) \(3\) \(3\) $+$ $-$ $-$ $+$ \(q-\beta _{1}q^{3}+q^{5}+q^{7}+(2+\beta _{1}+\beta _{2})q^{9}+\cdots\)
7280.2.a.bn $3$ $58.131$ 3.3.1101.1 None \(0\) \(1\) \(-3\) \(-3\) $+$ $+$ $+$ $+$ \(q+\beta _{1}q^{3}-q^{5}-q^{7}+(4-\beta _{1}+\beta _{2})q^{9}+\cdots\)
7280.2.a.bo $3$ $58.131$ 3.3.568.1 None \(0\) \(1\) \(3\) \(3\) $-$ $-$ $-$ $+$ \(q-\beta _{2}q^{3}+q^{5}+q^{7}+(3-\beta _{1})q^{9}+(-2+\cdots)q^{11}+\cdots\)
7280.2.a.bp $3$ $58.131$ 3.3.229.1 None \(0\) \(2\) \(-3\) \(3\) $+$ $+$ $-$ $-$ \(q+(1+\beta _{2})q^{3}-q^{5}+q^{7}+(1+\beta _{1})q^{9}+\cdots\)
7280.2.a.bq $4$ $58.131$ 4.4.1957.1 None \(0\) \(-4\) \(4\) \(4\) $-$ $-$ $-$ $+$ \(q+(-1+\beta _{2})q^{3}+q^{5}+q^{7}+(2-\beta _{1}+\cdots)q^{9}+\cdots\)
7280.2.a.br $4$ $58.131$ 4.4.4913.1 None \(0\) \(-3\) \(-4\) \(4\) $+$ $+$ $-$ $-$ \(q+(-1+\beta _{1})q^{3}-q^{5}+q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
7280.2.a.bs $4$ $58.131$ 4.4.23724.1 None \(0\) \(-1\) \(-4\) \(-4\) $+$ $+$ $+$ $-$ \(q+\beta _{1}q^{3}-q^{5}-q^{7}+(1+\beta _{3})q^{9}+(-1+\cdots)q^{11}+\cdots\)
7280.2.a.bt $4$ $58.131$ 4.4.2225.1 None \(0\) \(-1\) \(-4\) \(4\) $+$ $+$ $-$ $+$ \(q-\beta _{1}q^{3}-q^{5}+q^{7}+(\beta _{1}+\beta _{2})q^{9}+\cdots\)
7280.2.a.bu $4$ $58.131$ 4.4.50908.1 None \(0\) \(-1\) \(4\) \(-4\) $-$ $-$ $+$ $+$ \(q-\beta _{3}q^{3}+q^{5}-q^{7}+(2-\beta _{1}+\beta _{3})q^{9}+\cdots\)
7280.2.a.bv $4$ $58.131$ 4.4.24197.1 None \(0\) \(0\) \(-4\) \(-4\) $+$ $+$ $+$ $-$ \(q-\beta _{1}q^{3}-q^{5}-q^{7}+\beta _{2}q^{9}+(\beta _{2}-\beta _{3})q^{11}+\cdots\)
7280.2.a.bw $4$ $58.131$ 4.4.12197.1 None \(0\) \(0\) \(-4\) \(4\) $-$ $+$ $-$ $-$ \(q+\beta _{1}q^{3}-q^{5}+q^{7}+(2-\beta _{3})q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)
7280.2.a.bx $4$ $58.131$ 4.4.24197.1 None \(0\) \(0\) \(4\) \(4\) $+$ $-$ $-$ $-$ \(q-\beta _{2}q^{3}+q^{5}+q^{7}+(4+\beta _{1})q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots\)
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