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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
4200.2.a.a $1$ $33.537$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ \(q-q^{3}-q^{7}+q^{9}-3q^{11}-2q^{13}+\cdots\)
4200.2.a.b $1$ $33.537$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ \(q-q^{3}-q^{7}+q^{9}-q^{11}+4q^{13}+2q^{17}+\cdots\)
4200.2.a.c $1$ $33.537$ \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) $+$ \(q-q^{3}-q^{7}+q^{9}-2q^{13}-2q^{17}+\cdots\)
4200.2.a.d $1$ $33.537$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ \(q-q^{3}+q^{7}+q^{9}-5q^{11}-4q^{13}+\cdots\)
4200.2.a.e $1$ $33.537$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ \(q-q^{3}+q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
4200.2.a.f $1$ $33.537$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ \(q-q^{3}+q^{7}+q^{9}-3q^{11}-2q^{13}+\cdots\)
4200.2.a.g $1$ $33.537$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ \(q-q^{3}+q^{7}+q^{9}-2q^{11}-5q^{13}+\cdots\)
4200.2.a.h $1$ $33.537$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ \(q-q^{3}+q^{7}+q^{9}-6q^{13}+2q^{17}+\cdots\)
4200.2.a.i $1$ $33.537$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ \(q-q^{3}+q^{7}+q^{9}+2q^{13}-6q^{17}+\cdots\)
4200.2.a.j $1$ $33.537$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ \(q-q^{3}+q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
4200.2.a.k $1$ $33.537$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ \(q-q^{3}+q^{7}+q^{9}+2q^{11}-2q^{13}+\cdots\)
4200.2.a.l $1$ $33.537$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ \(q-q^{3}+q^{7}+q^{9}+2q^{11}+3q^{13}+\cdots\)
4200.2.a.m $1$ $33.537$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $+$ \(q-q^{3}+q^{7}+q^{9}+3q^{11}+2q^{17}+\cdots\)
4200.2.a.n $1$ $33.537$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ \(q-q^{3}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
4200.2.a.o $1$ $33.537$ \(\Q\) None \(0\) \(-1\) \(0\) \(1\) $-$ \(q-q^{3}+q^{7}+q^{9}+5q^{11}+2q^{13}+\cdots\)
4200.2.a.p $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ \(q+q^{3}-q^{7}+q^{9}-5q^{11}+4q^{13}+\cdots\)
4200.2.a.q $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ \(q+q^{3}-q^{7}+q^{9}-4q^{11}-2q^{13}+\cdots\)
4200.2.a.r $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ \(q+q^{3}-q^{7}+q^{9}-3q^{11}+2q^{13}+\cdots\)
4200.2.a.s $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ \(q+q^{3}-q^{7}+q^{9}-2q^{11}+5q^{13}+\cdots\)
4200.2.a.t $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ \(q+q^{3}-q^{7}+q^{9}-6q^{13}+2q^{17}+\cdots\)
4200.2.a.u $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ \(q+q^{3}-q^{7}+q^{9}+2q^{13}-6q^{17}+\cdots\)
4200.2.a.v $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ \(q+q^{3}-q^{7}+q^{9}+2q^{11}-3q^{13}+\cdots\)
4200.2.a.w $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ \(q+q^{3}-q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
4200.2.a.x $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ \(q+q^{3}-q^{7}+q^{9}+2q^{11}+2q^{13}+\cdots\)
4200.2.a.y $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $+$ \(q+q^{3}-q^{7}+q^{9}+3q^{11}-2q^{17}+\cdots\)
4200.2.a.z $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ \(q+q^{3}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
4200.2.a.ba $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(-1\) $-$ \(q+q^{3}-q^{7}+q^{9}+5q^{11}-2q^{13}+\cdots\)
4200.2.a.bb $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ \(q+q^{3}+q^{7}+q^{9}-4q^{11}+2q^{13}+\cdots\)
4200.2.a.bc $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ \(q+q^{3}+q^{7}+q^{9}-3q^{11}+2q^{13}+\cdots\)
4200.2.a.bd $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $+$ \(q+q^{3}+q^{7}+q^{9}-q^{11}-4q^{13}-2q^{17}+\cdots\)
4200.2.a.be $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ \(q+q^{3}+q^{7}+q^{9}-2q^{13}-2q^{17}+\cdots\)
4200.2.a.bf $1$ $33.537$ \(\Q\) None \(0\) \(1\) \(0\) \(1\) $-$ \(q+q^{3}+q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots\)
4200.2.a.bg $2$ $33.537$ \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(-2\) $-$ \(q-q^{3}-q^{7}+q^{9}+\beta q^{11}-2q^{13}+\cdots\)
4200.2.a.bh $2$ $33.537$ \(\Q(\sqrt{73}) \) None \(0\) \(-2\) \(0\) \(-2\) $-$ \(q-q^{3}-q^{7}+q^{9}+\beta q^{11}+(-1-\beta )q^{13}+\cdots\)
4200.2.a.bi $2$ $33.537$ \(\Q(\sqrt{17}) \) None \(0\) \(-2\) \(0\) \(-2\) $-$ \(q-q^{3}-q^{7}+q^{9}+(1+\beta )q^{11}+(-2+\cdots)q^{13}+\cdots\)
4200.2.a.bj $2$ $33.537$ \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(2\) $-$ \(q-q^{3}+q^{7}+q^{9}-2q^{11}-\beta q^{13}+\cdots\)
4200.2.a.bk $2$ $33.537$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(0\) \(-2\) $+$ \(q+q^{3}-q^{7}+q^{9}-2q^{11}+\beta q^{13}+\cdots\)
4200.2.a.bl $2$ $33.537$ \(\Q(\sqrt{73}) \) None \(0\) \(2\) \(0\) \(2\) $-$ \(q+q^{3}+q^{7}+q^{9}+\beta q^{11}+(1+\beta )q^{13}+\cdots\)
4200.2.a.bm $2$ $33.537$ \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(0\) \(2\) $-$ \(q+q^{3}+q^{7}+q^{9}+(1+\beta )q^{11}+(2-3\beta )q^{13}+\cdots\)
4200.2.a.bn $3$ $33.537$ 3.3.148.1 None \(0\) \(-3\) \(0\) \(-3\) $-$ \(q-q^{3}-q^{7}+q^{9}+(-1-\beta _{1}+\beta _{2})q^{11}+\cdots\)
4200.2.a.bo $3$ $33.537$ 3.3.148.1 None \(0\) \(-3\) \(0\) \(-3\) $+$ \(q-q^{3}-q^{7}+q^{9}+(1+\beta _{1}+\beta _{2})q^{11}+\cdots\)
4200.2.a.bp $3$ $33.537$ 3.3.148.1 None \(0\) \(3\) \(0\) \(3\) $+$ \(q+q^{3}+q^{7}+q^{9}+(-1-\beta _{1}+\beta _{2})q^{11}+\cdots\)
4200.2.a.bq $3$ $33.537$ 3.3.148.1 None \(0\) \(3\) \(0\) \(3\) $-$ \(q+q^{3}+q^{7}+q^{9}+(1+\beta _{1}+\beta _{2})q^{11}+\cdots\)
4200.2.t.a $2$ $33.537$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-iq^{3}-iq^{7}-q^{9}-5q^{11}-4iq^{13}+\cdots\)
4200.2.t.b $2$ $33.537$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-iq^{3}-iq^{7}-q^{9}-4q^{11}+2iq^{13}+\cdots\)
4200.2.t.c $2$ $33.537$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-iq^{3}+iq^{7}-q^{9}-4q^{11}-2iq^{13}+\cdots\)
4200.2.t.d $2$ $33.537$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-iq^{3}-iq^{7}-q^{9}-4q^{11}+6iq^{13}+\cdots\)
4200.2.t.e $2$ $33.537$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-iq^{3}-iq^{7}-q^{9}-3q^{11}-2iq^{13}+\cdots\)
4200.2.t.f $2$ $33.537$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+iq^{3}-iq^{7}-q^{9}-3q^{11}+2iq^{13}+\cdots\)
4200.2.t.g $2$ $33.537$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+iq^{3}+iq^{7}-q^{9}-2q^{11}+5iq^{13}+\cdots\)
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