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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3520.1.i.a $1$ $1.757$ \(\Q\) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-55}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) $-$ \(q+q^{5}+q^{9}-q^{11}+q^{25}+2q^{31}+\cdots\)
3520.1.i.b $1$ $1.757$ \(\Q\) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-55}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) $-$ \(q+q^{5}+q^{9}+q^{11}+q^{25}-2q^{31}+\cdots\)
3520.1.i.c $2$ $1.757$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(-1\) \(0\) $-$ \(q+(\zeta_{6}+\zeta_{6}^{2})q^{3}+\zeta_{6}^{2}q^{5}+(-1-\zeta_{6}+\cdots)q^{9}+\cdots\)
3520.1.i.d $2$ $1.757$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(-1\) \(0\) $-$ \(q+(\zeta_{6}+\zeta_{6}^{2})q^{3}-\zeta_{6}q^{5}+(-1-\zeta_{6}+\cdots)q^{9}+\cdots\)
3520.1.i.e $4$ $1.757$ \(\Q(\zeta_{8})\) None \(\Q(\sqrt{55}) \) \(0\) \(0\) \(-4\) \(0\) $-$ \(q+(-\zeta_{8}-\zeta_{8}^{3})q^{3}-q^{5}-q^{9}+\zeta_{8}^{2}q^{11}+\cdots\)
3520.1.o.a $2$ $1.757$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-10}) \) \(\Q(\sqrt{110}) \) \(0\) \(0\) \(-2\) \(0\) $-$ \(q-q^{5}-q^{9}-iq^{11}+iq^{23}+q^{25}+\cdots\)
3520.1.o.b $2$ $1.757$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-10}) \) \(\Q(\sqrt{110}) \) \(0\) \(0\) \(2\) \(0\) $-$ \(q+q^{5}-q^{9}-iq^{11}-iq^{23}+q^{25}+\cdots\)
3520.1.o.c $4$ $1.757$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ \(q+(\zeta_{12}-\zeta_{12}^{5})q^{3}+\zeta_{12}^{4}q^{5}+(1+\zeta_{12}^{2}+\cdots)q^{9}+\cdots\)
3520.1.o.d $4$ $1.757$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(2\) \(0\) $-$ \(q+(\zeta_{12}-\zeta_{12}^{5})q^{3}-\zeta_{12}^{4}q^{5}+(1+\zeta_{12}^{2}+\cdots)q^{9}+\cdots\)
3520.1.x.a $8$ $1.757$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{16}^{2}q^{5}+(\zeta_{16}^{3}+\zeta_{16}^{5})q^{7}-\zeta_{16}^{4}q^{9}+\cdots\)
3520.1.y.a $2$ $1.757$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(-2\) \(0\) \(0\) $-$ \(q+(-1-i)q^{3}+iq^{5}+iq^{9}-iq^{11}+\cdots\)
3520.1.y.b $2$ $1.757$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(2\) \(0\) \(0\) $-$ \(q+(1+i)q^{3}+iq^{5}+iq^{9}+iq^{11}+\cdots\)
3520.1.y.c $4$ $1.757$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-11}) \) None \(0\) \(-2\) \(0\) \(0\) $-$ \(q+(\zeta_{12}^{4}-\zeta_{12}^{5})q^{3}-\zeta_{12}q^{5}+(-\zeta_{12}^{2}+\cdots)q^{9}+\cdots\)
3520.1.y.d $4$ $1.757$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-11}) \) None \(0\) \(2\) \(0\) \(0\) $-$ \(q+(-\zeta_{12}^{4}+\zeta_{12}^{5})q^{3}-\zeta_{12}q^{5}+(-\zeta_{12}^{2}+\cdots)q^{9}+\cdots\)
3520.1.be.a $2$ $1.757$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(-2\) \(0\) \(0\) $-$ \(q+(-1+i)q^{3}+iq^{5}-iq^{9}-q^{11}+\cdots\)
3520.1.be.b $2$ $1.757$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(-2\) \(0\) \(0\) $-$ \(q+(-1+i)q^{3}-iq^{5}-iq^{9}-q^{11}+\cdots\)
3520.1.be.c $2$ $1.757$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(2\) \(0\) \(0\) $-$ \(q+(1-i)q^{3}-iq^{5}-iq^{9}+q^{11}+(-1+\cdots)q^{15}+\cdots\)
3520.1.be.d $2$ $1.757$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(2\) \(0\) \(0\) $-$ \(q+(1-i)q^{3}+iq^{5}-iq^{9}+q^{11}+(1+\cdots)q^{15}+\cdots\)
3520.1.be.e $4$ $1.757$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-11}) \) None \(0\) \(-2\) \(0\) \(0\) $-$ \(q+(\zeta_{12}-\zeta_{12}^{2})q^{3}-\zeta_{12}q^{5}+(\zeta_{12}^{2}+\cdots)q^{9}+\cdots\)
3520.1.be.f $4$ $1.757$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-11}) \) None \(0\) \(-2\) \(0\) \(0\) $-$ \(q+(\zeta_{12}^{4}+\zeta_{12}^{5})q^{3}+\zeta_{12}^{5}q^{5}+(-\zeta_{12}^{2}+\cdots)q^{9}+\cdots\)
3520.1.be.g $4$ $1.757$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-11}) \) None \(0\) \(2\) \(0\) \(0\) $-$ \(q+(-\zeta_{12}^{4}-\zeta_{12}^{5})q^{3}+\zeta_{12}^{5}q^{5}+\cdots\)
3520.1.be.h $4$ $1.757$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-11}) \) None \(0\) \(2\) \(0\) \(0\) $-$ \(q+(-\zeta_{12}+\zeta_{12}^{2})q^{3}-\zeta_{12}q^{5}+(\zeta_{12}^{2}+\cdots)q^{9}+\cdots\)
3520.1.cg.a $8$ $1.757$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ \(q+\zeta_{20}^{8}q^{5}+(\zeta_{20}^{3}+\zeta_{20}^{5})q^{7}+\zeta_{20}^{2}q^{9}+\cdots\)
3520.1.cg.b $8$ $1.757$ \(\Q(\zeta_{20})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(2\) \(0\) $-$ \(q-\zeta_{20}^{8}q^{5}+(\zeta_{20}^{3}+\zeta_{20}^{5})q^{7}+\zeta_{20}^{2}q^{9}+\cdots\)
3520.1.db.a $32$ $1.757$ \(\Q(\zeta_{64})\) \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\zeta_{64}^{27}q^{2}-\zeta_{64}^{22}q^{4}+\zeta_{64}^{26}q^{5}+\cdots\)
3520.2.a.a $1$ $28.107$ \(\Q\) None None \(0\) \(-3\) \(-1\) \(1\) $-$ \(q-3q^{3}-q^{5}+q^{7}+6q^{9}+q^{11}+6q^{13}+\cdots\)
3520.2.a.b $1$ $28.107$ \(\Q\) None None \(0\) \(-2\) \(-1\) \(0\) $-$ \(q-2q^{3}-q^{5}+q^{9}-q^{11}-4q^{13}+\cdots\)
3520.2.a.c $1$ $28.107$ \(\Q\) None None \(0\) \(-2\) \(-1\) \(0\) $+$ \(q-2q^{3}-q^{5}+q^{9}-q^{11}+2q^{15}+\cdots\)
3520.2.a.d $1$ $28.107$ \(\Q\) None None \(0\) \(-2\) \(-1\) \(4\) $-$ \(q-2q^{3}-q^{5}+4q^{7}+q^{9}-q^{11}+4q^{13}+\cdots\)
3520.2.a.e $1$ $28.107$ \(\Q\) None None \(0\) \(-2\) \(-1\) \(4\) $+$ \(q-2q^{3}-q^{5}+4q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
3520.2.a.f $1$ $28.107$ \(\Q\) None None \(0\) \(-2\) \(1\) \(-2\) $+$ \(q-2q^{3}+q^{5}-2q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
3520.2.a.g $1$ $28.107$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(-3\) $+$ \(q-q^{3}-q^{5}-3q^{7}-2q^{9}+q^{11}+2q^{13}+\cdots\)
3520.2.a.h $1$ $28.107$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(-3\) $+$ \(q-q^{3}-q^{5}-3q^{7}-2q^{9}+q^{11}+6q^{13}+\cdots\)
3520.2.a.i $1$ $28.107$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(-1\) $-$ \(q-q^{3}-q^{5}-q^{7}-2q^{9}-q^{11}+2q^{13}+\cdots\)
3520.2.a.j $1$ $28.107$ \(\Q\) None None \(0\) \(-1\) \(1\) \(-3\) $+$ \(q-q^{3}+q^{5}-3q^{7}-2q^{9}-q^{11}+2q^{13}+\cdots\)
3520.2.a.k $1$ $28.107$ \(\Q\) None None \(0\) \(-1\) \(1\) \(-1\) $+$ \(q-q^{3}+q^{5}-q^{7}-2q^{9}+q^{11}-2q^{13}+\cdots\)
3520.2.a.l $1$ $28.107$ \(\Q\) None None \(0\) \(-1\) \(1\) \(5\) $-$ \(q-q^{3}+q^{5}+5q^{7}-2q^{9}-q^{11}-2q^{13}+\cdots\)
3520.2.a.m $1$ $28.107$ \(\Q\) None None \(0\) \(0\) \(-1\) \(-4\) $-$ \(q-q^{5}-4q^{7}-3q^{9}-q^{11}-6q^{13}+\cdots\)
3520.2.a.n $1$ $28.107$ \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) $-$ \(q-q^{5}-3q^{9}-q^{11}-2q^{13}+6q^{17}+\cdots\)
3520.2.a.o $1$ $28.107$ \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) $+$ \(q-q^{5}-3q^{9}-q^{11}+2q^{13}-2q^{17}+\cdots\)
3520.2.a.p $1$ $28.107$ \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) $-$ \(q-q^{5}-3q^{9}+q^{11}-2q^{13}+6q^{17}+\cdots\)
3520.2.a.q $1$ $28.107$ \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) $-$ \(q-q^{5}-3q^{9}+q^{11}+2q^{13}-2q^{17}+\cdots\)
3520.2.a.r $1$ $28.107$ \(\Q\) None None \(0\) \(0\) \(-1\) \(4\) $-$ \(q-q^{5}+4q^{7}-3q^{9}+q^{11}-6q^{13}+\cdots\)
3520.2.a.s $1$ $28.107$ \(\Q\) None None \(0\) \(0\) \(1\) \(-2\) $-$ \(q+q^{5}-2q^{7}-3q^{9}-q^{11}+4q^{13}+\cdots\)
3520.2.a.t $1$ $28.107$ \(\Q\) None None \(0\) \(0\) \(1\) \(-2\) $+$ \(q+q^{5}-2q^{7}-3q^{9}+q^{11}+8q^{19}+\cdots\)
3520.2.a.u $1$ $28.107$ \(\Q\) None None \(0\) \(0\) \(1\) \(2\) $+$ \(q+q^{5}+2q^{7}-3q^{9}-q^{11}-8q^{19}+\cdots\)
3520.2.a.v $1$ $28.107$ \(\Q\) None None \(0\) \(0\) \(1\) \(2\) $-$ \(q+q^{5}+2q^{7}-3q^{9}+q^{11}+4q^{13}+\cdots\)
3520.2.a.w $1$ $28.107$ \(\Q\) None None \(0\) \(1\) \(-1\) \(1\) $+$ \(q+q^{3}-q^{5}+q^{7}-2q^{9}+q^{11}+2q^{13}+\cdots\)
3520.2.a.x $1$ $28.107$ \(\Q\) None None \(0\) \(1\) \(-1\) \(3\) $-$ \(q+q^{3}-q^{5}+3q^{7}-2q^{9}-q^{11}+2q^{13}+\cdots\)
3520.2.a.y $1$ $28.107$ \(\Q\) None None \(0\) \(1\) \(-1\) \(3\) $+$ \(q+q^{3}-q^{5}+3q^{7}-2q^{9}-q^{11}+6q^{13}+\cdots\)
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