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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
9072.2.a.a $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(-4\) \(1\) $+$ $+$ $-$ \(q-4q^{5}+q^{7}+3q^{11}+4q^{13}-6q^{17}+\cdots\)
9072.2.a.b $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(-3\) \(-1\) $-$ $+$ $+$ \(q-3q^{5}-q^{7}+6q^{11}-q^{13}+3q^{17}+\cdots\)
9072.2.a.c $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(-3\) \(-1\) $-$ $+$ $+$ \(q-3q^{5}-q^{7}+6q^{11}+2q^{13}+6q^{17}+\cdots\)
9072.2.a.d $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(-2\) \(-1\) $+$ $-$ $+$ \(q-2q^{5}-q^{7}-3q^{11}-6q^{13}-7q^{17}+\cdots\)
9072.2.a.e $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(-2\) \(-1\) $+$ $+$ $+$ \(q-2q^{5}-q^{7}+3q^{11}+2q^{17}+2q^{19}+\cdots\)
9072.2.a.f $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(-2\) \(1\) $-$ $-$ $-$ \(q-2q^{5}+q^{7}+q^{11}-6q^{13}+5q^{17}+\cdots\)
9072.2.a.g $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(-2\) \(1\) $-$ $+$ $-$ \(q-2q^{5}+q^{7}+q^{11}+2q^{17}-2q^{19}+\cdots\)
9072.2.a.h $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) $+$ $+$ $+$ \(q-q^{5}-q^{7}+3q^{13}+7q^{17}-4q^{19}+\cdots\)
9072.2.a.i $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) $+$ $+$ $+$ \(q-q^{5}-q^{7}+6q^{11}+6q^{13}-2q^{17}+\cdots\)
9072.2.a.j $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $-$ $+$ $-$ \(q-q^{5}+q^{7}-2q^{11}-5q^{13}-3q^{17}+\cdots\)
9072.2.a.k $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(-1\) \(1\) $-$ $+$ $-$ \(q-q^{5}+q^{7}+2q^{11}+3q^{13}+q^{17}+\cdots\)
9072.2.a.l $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(0\) \(-1\) $-$ $+$ $+$ \(q-q^{7}-3q^{11}-4q^{13}-6q^{17}+4q^{19}+\cdots\)
9072.2.a.m $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(0\) \(-1\) $-$ $+$ $+$ \(q-q^{7}+3q^{11}-4q^{13}+6q^{17}+4q^{19}+\cdots\)
9072.2.a.n $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $+$ $-$ $+$ \(q+q^{5}-q^{7}-6q^{11}+6q^{13}+2q^{17}+\cdots\)
9072.2.a.o $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(1\) \(-1\) $+$ $+$ $+$ \(q+q^{5}-q^{7}+3q^{13}-7q^{17}-4q^{19}+\cdots\)
9072.2.a.p $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $-$ $+$ $-$ \(q+q^{5}+q^{7}-2q^{11}+3q^{13}-q^{17}+\cdots\)
9072.2.a.q $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(1\) \(1\) $-$ $+$ $-$ \(q+q^{5}+q^{7}+2q^{11}-5q^{13}+3q^{17}+\cdots\)
9072.2.a.r $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(2\) \(-1\) $+$ $+$ $+$ \(q+2q^{5}-q^{7}-3q^{11}-2q^{17}+2q^{19}+\cdots\)
9072.2.a.s $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(2\) \(-1\) $+$ $+$ $+$ \(q+2q^{5}-q^{7}+3q^{11}-6q^{13}+7q^{17}+\cdots\)
9072.2.a.t $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(2\) \(1\) $-$ $+$ $-$ \(q+2q^{5}+q^{7}-q^{11}-6q^{13}-5q^{17}+\cdots\)
9072.2.a.u $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(2\) \(1\) $-$ $+$ $-$ \(q+2q^{5}+q^{7}-q^{11}-2q^{17}-2q^{19}+\cdots\)
9072.2.a.v $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(3\) \(-1\) $-$ $+$ $+$ \(q+3q^{5}-q^{7}-6q^{11}-q^{13}-3q^{17}+\cdots\)
9072.2.a.w $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(3\) \(-1\) $-$ $-$ $+$ \(q+3q^{5}-q^{7}-6q^{11}+2q^{13}-6q^{17}+\cdots\)
9072.2.a.x $1$ $72.440$ \(\Q\) None \(0\) \(0\) \(4\) \(1\) $+$ $+$ $-$ \(q+4q^{5}+q^{7}-3q^{11}+4q^{13}+6q^{17}+\cdots\)
9072.2.a.y $2$ $72.440$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-4\) \(2\) $-$ $-$ $-$ \(q+(-2+\beta )q^{5}+q^{7}+(1+3\beta )q^{11}+\cdots\)
9072.2.a.z $2$ $72.440$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-4\) \(2\) $+$ $-$ $-$ \(q-2q^{5}+q^{7}+(2+\beta )q^{11}-4q^{13}+\cdots\)
9072.2.a.ba $2$ $72.440$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(-4\) \(2\) $+$ $-$ $-$ \(q+(-2+\beta )q^{5}+q^{7}+(3+\beta )q^{11}+(1+\cdots)q^{13}+\cdots\)
9072.2.a.bb $2$ $72.440$ \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(-3\) \(-2\) $-$ $-$ $+$ \(q+(-1-\beta )q^{5}-q^{7}+(2-\beta )q^{11}+2q^{13}+\cdots\)
9072.2.a.bc $2$ $72.440$ \(\Q(\sqrt{21}) \) None \(0\) \(0\) \(-2\) \(2\) $+$ $+$ $-$ \(q-q^{5}+q^{7}+(1-\beta )q^{11}-q^{13}-\beta q^{17}+\cdots\)
9072.2.a.bd $2$ $72.440$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(-2\) \(2\) $-$ $-$ $-$ \(q+(-1+\beta )q^{5}+q^{7}+2q^{11}+2\beta q^{13}+\cdots\)
9072.2.a.be $2$ $72.440$ \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(-1\) \(2\) $+$ $+$ $-$ \(q-\beta q^{5}+q^{7}+(1-\beta )q^{11}+(4-\beta )q^{13}+\cdots\)
9072.2.a.bf $2$ $72.440$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(-2\) $-$ $-$ $+$ \(q+\beta q^{5}-q^{7}+(-3+\beta )q^{11}-q^{13}+\cdots\)
9072.2.a.bg $2$ $72.440$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(-2\) $-$ $-$ $+$ \(q+2\beta q^{5}-q^{7}-\beta q^{11}-4q^{13}+2\beta q^{17}+\cdots\)
9072.2.a.bh $2$ $72.440$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(-2\) $-$ $-$ $+$ \(q+\beta q^{5}-q^{7}-2\beta q^{11}+5q^{13}+\beta q^{17}+\cdots\)
9072.2.a.bi $2$ $72.440$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(-2\) $-$ $-$ $+$ \(q+\beta q^{5}-q^{7}+(3+\beta )q^{11}-q^{13}+(-3+\cdots)q^{17}+\cdots\)
9072.2.a.bj $2$ $72.440$ \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(1\) \(2\) $+$ $+$ $-$ \(q+\beta q^{5}+q^{7}+(-1+\beta )q^{11}+(4-\beta )q^{13}+\cdots\)
9072.2.a.bk $2$ $72.440$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(2\) \(2\) $-$ $+$ $-$ \(q+(1+\beta )q^{5}+q^{7}-2q^{11}-2\beta q^{13}+\cdots\)
9072.2.a.bl $2$ $72.440$ \(\Q(\sqrt{21}) \) None \(0\) \(0\) \(2\) \(2\) $+$ $+$ $-$ \(q+q^{5}+q^{7}+(-1-\beta )q^{11}-q^{13}+\cdots\)
9072.2.a.bm $2$ $72.440$ \(\Q(\sqrt{33}) \) None \(0\) \(0\) \(3\) \(-2\) $-$ $+$ $+$ \(q+(1+\beta )q^{5}-q^{7}+(-2+\beta )q^{11}+2q^{13}+\cdots\)
9072.2.a.bn $2$ $72.440$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(4\) \(2\) $+$ $-$ $-$ \(q+(2+\beta )q^{5}+q^{7}+(-3+\beta )q^{11}+(1+\cdots)q^{13}+\cdots\)
9072.2.a.bo $2$ $72.440$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(4\) \(2\) $+$ $-$ $-$ \(q+2q^{5}+q^{7}+(-2+\beta )q^{11}-4q^{13}+\cdots\)
9072.2.a.bp $2$ $72.440$ \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(4\) \(2\) $-$ $-$ $-$ \(q+(2+\beta )q^{5}+q^{7}+(-1+3\beta )q^{11}+\cdots\)
9072.2.a.bq $3$ $72.440$ 3.3.321.1 None \(0\) \(0\) \(-5\) \(3\) $-$ $+$ $-$ \(q+(-2-\beta _{2})q^{5}+q^{7}+(1-2\beta _{1}-\beta _{2})q^{11}+\cdots\)
9072.2.a.br $3$ $72.440$ \(\Q(\zeta_{18})^+\) None \(0\) \(0\) \(-3\) \(-3\) $+$ $+$ $+$ \(q+(-1-\beta _{1})q^{5}-q^{7}+(-\beta _{1}+2\beta _{2})q^{11}+\cdots\)
9072.2.a.bs $3$ $72.440$ \(\Q(\zeta_{18})^+\) None \(0\) \(0\) \(-3\) \(-3\) $-$ $-$ $+$ \(q+(-1+\beta _{1})q^{5}-q^{7}+(2+\beta _{1})q^{11}+\cdots\)
9072.2.a.bt $3$ $72.440$ 3.3.321.1 None \(0\) \(0\) \(-3\) \(-3\) $-$ $+$ $+$ \(q+(-1+\beta _{1})q^{5}-q^{7}+(2+\beta _{1})q^{11}+\cdots\)
9072.2.a.bu $3$ $72.440$ 3.3.621.1 None \(0\) \(0\) \(-3\) \(-3\) $-$ $+$ $+$ \(q+(-1-\beta _{2})q^{5}-q^{7}+(2-\beta _{2})q^{11}+\cdots\)
9072.2.a.bv $3$ $72.440$ 3.3.321.1 None \(0\) \(0\) \(-1\) \(3\) $-$ $-$ $-$ \(q-\beta _{1}q^{5}+q^{7}+(1+\beta _{1}+2\beta _{2})q^{11}+\cdots\)
9072.2.a.bw $3$ $72.440$ 3.3.837.1 None \(0\) \(0\) \(0\) \(-3\) $+$ $+$ $+$ \(q+\beta _{2}q^{5}-q^{7}+(-1+\beta _{1})q^{11}+(-2+\cdots)q^{13}+\cdots\)
9072.2.a.bx $3$ $72.440$ 3.3.837.1 None \(0\) \(0\) \(0\) \(-3\) $+$ $+$ $+$ \(q-\beta _{2}q^{5}-q^{7}+(1-\beta _{1})q^{11}+(-2+\cdots)q^{13}+\cdots\)
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