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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 5
4800.2.a.a $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-5\) $-$ $+$ $+$ \(q-q^{3}-5q^{7}+q^{9}-6q^{11}-3q^{13}+\cdots\)
4800.2.a.b $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-5\) $+$ $+$ $-$ \(q-q^{3}-5q^{7}+q^{9}+6q^{11}+3q^{13}+\cdots\)
4800.2.a.c $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) $-$ $+$ $-$ \(q-q^{3}-4q^{7}+q^{9}-4q^{13}+8q^{19}+\cdots\)
4800.2.a.d $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) $-$ $+$ $+$ \(q-q^{3}-4q^{7}+q^{9}+2q^{13}-6q^{17}+\cdots\)
4800.2.a.e $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) $-$ $+$ $-$ \(q-q^{3}-4q^{7}+q^{9}+4q^{13}-8q^{19}+\cdots\)
4800.2.a.f $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-4\) $+$ $+$ $+$ \(q-q^{3}-4q^{7}+q^{9}+4q^{11}-2q^{13}+\cdots\)
4800.2.a.g $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) $-$ $+$ $-$ \(q-q^{3}-3q^{7}+q^{9}-4q^{11}+7q^{13}+\cdots\)
4800.2.a.h $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) $+$ $+$ $-$ \(q-q^{3}-3q^{7}+q^{9}-5q^{13}+5q^{19}+\cdots\)
4800.2.a.i $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) $+$ $+$ $+$ \(q-q^{3}-3q^{7}+q^{9}+5q^{13}-5q^{19}+\cdots\)
4800.2.a.j $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-3\) $-$ $+$ $+$ \(q-q^{3}-3q^{7}+q^{9}+4q^{11}-7q^{13}+\cdots\)
4800.2.a.k $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) $+$ $+$ $-$ \(q-q^{3}-2q^{7}+q^{9}-2q^{11}-2q^{13}+\cdots\)
4800.2.a.l $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) $+$ $+$ $-$ \(q-q^{3}-2q^{7}+q^{9}-2q^{11}+6q^{13}+\cdots\)
4800.2.a.m $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) $-$ $+$ $-$ \(q-q^{3}-2q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots\)
4800.2.a.n $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) $-$ $+$ $-$ \(q-q^{3}-2q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
4800.2.a.o $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ $+$ $-$ \(q-q^{3}-q^{7}+q^{9}-6q^{11}-5q^{13}+\cdots\)
4800.2.a.p $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $-$ $+$ $+$ \(q-q^{3}-q^{7}+q^{9}+6q^{11}+5q^{13}+\cdots\)
4800.2.a.q $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $+$ $+$ $+$ \(q-q^{3}+q^{9}-4q^{11}-2q^{13}-2q^{17}+\cdots\)
4800.2.a.r $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $-$ $+$ $+$ \(q-q^{3}+q^{9}-4q^{11}+6q^{13}+6q^{17}+\cdots\)
4800.2.a.s $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $+$ $+$ $+$ \(q-q^{3}+q^{9}+2q^{13}-6q^{17}+4q^{19}+\cdots\)
4800.2.a.t $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $+$ $+$ $+$ \(q-q^{3}+q^{9}+4q^{11}-2q^{13}-2q^{17}+\cdots\)
4800.2.a.u $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(0\) $-$ $+$ $+$ \(q-q^{3}+q^{9}+4q^{11}+2q^{13}+2q^{17}+\cdots\)
4800.2.a.v $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $+$ \(q-q^{3}+q^{7}+q^{9}-4q^{11}-3q^{13}+\cdots\)
4800.2.a.w $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $-$ \(q-q^{3}+q^{7}+q^{9}-q^{13}-3q^{19}-q^{21}+\cdots\)
4800.2.a.x $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ $+$ $+$ \(q-q^{3}+q^{7}+q^{9}+q^{13}+3q^{19}-q^{21}+\cdots\)
4800.2.a.y $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ $+$ $-$ \(q-q^{3}+q^{7}+q^{9}+4q^{11}+3q^{13}+\cdots\)
4800.2.a.z $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(2\) $-$ $+$ $-$ \(q-q^{3}+2q^{7}+q^{9}-6q^{11}-2q^{13}+\cdots\)
4800.2.a.ba $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(2\) $-$ $+$ $-$ \(q-q^{3}+2q^{7}+q^{9}+6q^{11}+2q^{13}+\cdots\)
4800.2.a.bb $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(3\) $+$ $+$ $+$ \(q-q^{3}+3q^{7}+q^{9}-2q^{11}+q^{13}+\cdots\)
4800.2.a.bc $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(3\) $+$ $+$ $-$ \(q-q^{3}+3q^{7}+q^{9}-2q^{11}+3q^{13}+\cdots\)
4800.2.a.bd $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(3\) $-$ $+$ $+$ \(q-q^{3}+3q^{7}+q^{9}+2q^{11}-3q^{13}+\cdots\)
4800.2.a.be $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(3\) $-$ $+$ $-$ \(q-q^{3}+3q^{7}+q^{9}+2q^{11}-q^{13}+\cdots\)
4800.2.a.bf $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(4\) $-$ $+$ $-$ \(q-q^{3}+4q^{7}+q^{9}-4q^{11}-4q^{17}+\cdots\)
4800.2.a.bg $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(4\) $+$ $+$ $+$ \(q-q^{3}+4q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
4800.2.a.bh $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(4\) $-$ $+$ $+$ \(q-q^{3}+4q^{7}+q^{9}-6q^{13}+2q^{17}+\cdots\)
4800.2.a.bi $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(4\) $-$ $+$ $+$ \(q-q^{3}+4q^{7}+q^{9}-2q^{13}+6q^{17}+\cdots\)
4800.2.a.bj $1$ $38.328$ \(\Q\) None \(0\) \(-1\) \(0\) \(4\) $+$ $+$ $-$ \(q-q^{3}+4q^{7}+q^{9}+4q^{11}+4q^{17}+\cdots\)
4800.2.a.bk $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-4\) $-$ $-$ $-$ \(q+q^{3}-4q^{7}+q^{9}-4q^{11}+4q^{17}+\cdots\)
4800.2.a.bl $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-4\) $+$ $-$ $+$ \(q+q^{3}-4q^{7}+q^{9}-6q^{13}+2q^{17}+\cdots\)
4800.2.a.bm $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-4\) $-$ $-$ $+$ \(q+q^{3}-4q^{7}+q^{9}-2q^{13}+6q^{17}+\cdots\)
4800.2.a.bn $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-4\) $+$ $-$ $-$ \(q+q^{3}-4q^{7}+q^{9}+4q^{11}-4q^{17}+\cdots\)
4800.2.a.bo $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-4\) $+$ $-$ $+$ \(q+q^{3}-4q^{7}+q^{9}+4q^{11}+6q^{13}+\cdots\)
4800.2.a.bp $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-3\) $+$ $-$ $+$ \(q+q^{3}-3q^{7}+q^{9}-2q^{11}-3q^{13}+\cdots\)
4800.2.a.bq $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-3\) $+$ $-$ $-$ \(q+q^{3}-3q^{7}+q^{9}-2q^{11}-q^{13}+\cdots\)
4800.2.a.br $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-3\) $-$ $-$ $+$ \(q+q^{3}-3q^{7}+q^{9}+2q^{11}+q^{13}+\cdots\)
4800.2.a.bs $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-3\) $-$ $-$ $-$ \(q+q^{3}-3q^{7}+q^{9}+2q^{11}+3q^{13}+\cdots\)
4800.2.a.bt $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-2\) $-$ $-$ $-$ \(q+q^{3}-2q^{7}+q^{9}-6q^{11}+2q^{13}+\cdots\)
4800.2.a.bu $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-2\) $-$ $-$ $-$ \(q+q^{3}-2q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots\)
4800.2.a.bv $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ $-$ $-$ \(q+q^{3}-q^{7}+q^{9}-4q^{11}+3q^{13}+\cdots\)
4800.2.a.bw $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $-$ \(q+q^{3}-q^{7}+q^{9}-q^{13}+3q^{19}-q^{21}+\cdots\)
4800.2.a.bx $1$ $38.328$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ $-$ $+$ \(q+q^{3}-q^{7}+q^{9}+q^{13}-3q^{19}-q^{21}+\cdots\)
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