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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3920.1.j.a 3920.j 20.d $1$ $1.956$ \(\Q\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-5}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) \(q+q^{5}-q^{9}+q^{25}+2q^{29}+2q^{41}+\cdots\)
3920.1.j.b 3920.j 20.d $2$ $1.956$ \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(-2\) \(0\) \(q-\beta q^{3}-q^{5}+2q^{9}+\beta q^{15}-\beta q^{23}+\cdots\)
3920.1.j.c 3920.j 20.d $2$ $1.956$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-35}) \) \(\Q(\sqrt{35}) \) \(0\) \(0\) \(0\) \(0\) \(q-iq^{5}-q^{9}+iq^{13}+iq^{17}-q^{25}+\cdots\)
3920.1.j.d 3920.j 20.d $2$ $1.956$ \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(2\) \(0\) \(q-\beta q^{3}+q^{5}+2q^{9}-\beta q^{15}+\beta q^{23}+\cdots\)
3920.1.j.e 3920.j 20.d $4$ $1.956$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{12}+\zeta_{12}^{5})q^{3}-\zeta_{12}^{3}q^{5}+(1+\cdots)q^{9}+\cdots\)
3920.1.v.a 3920.v 140.j $8$ $1.956$ \(\Q(\zeta_{16})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{5}q^{5}-\zeta_{16}^{4}q^{9}+(\zeta_{16}^{5}+\zeta_{16}^{7}+\cdots)q^{13}+\cdots\)
3920.1.bh.a 3920.bh 5.c $4$ $1.956$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{8}q^{3}-\zeta_{8}q^{5}-q^{11}+\zeta_{8}q^{13}+\cdots\)
3920.1.bh.b 3920.bh 5.c $4$ $1.956$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{8}q^{3}-\zeta_{8}^{3}q^{5}+q^{11}+\zeta_{8}q^{13}+\cdots\)
3920.1.br.a 3920.br 35.i $2$ $1.956$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(-1\) \(-1\) \(0\) \(q-\zeta_{6}q^{3}+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{11}-q^{13}+\cdots\)
3920.1.br.b 3920.br 35.i $2$ $1.956$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-35}) \) None \(0\) \(1\) \(1\) \(0\) \(q+\zeta_{6}q^{3}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{11}+q^{13}+\cdots\)
3920.1.bt.a 3920.bt 140.p $2$ $1.956$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-5}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(-1\) \(0\) \(q-\zeta_{6}q^{5}+\zeta_{6}q^{9}+\zeta_{6}^{2}q^{25}+q^{29}+\cdots\)
3920.1.bt.b 3920.bt 140.p $2$ $1.956$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-5}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(1\) \(0\) \(q+\zeta_{6}q^{5}+\zeta_{6}q^{9}+\zeta_{6}^{2}q^{25}+q^{29}+\cdots\)
3920.1.bt.c 3920.bt 140.p $4$ $1.956$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(-2\) \(0\) \(q+(\zeta_{12}+\zeta_{12}^{3})q^{3}+\zeta_{12}^{4}q^{5}+(-1+\cdots)q^{9}+\cdots\)
3920.1.bt.d 3920.bt 140.p $4$ $1.956$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{12}+\zeta_{12}^{3})q^{3}+\zeta_{12}q^{5}+(-1+\cdots)q^{9}+\cdots\)
3920.1.bt.e 3920.bt 140.p $4$ $1.956$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-35}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+\zeta_{12}q^{5}+(-1+\cdots)q^{9}+\cdots\)
3920.1.bt.f 3920.bt 140.p $4$ $1.956$ \(\Q(\zeta_{12})\) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-35}) \) \(\Q(\sqrt{35}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}q^{5}-\zeta_{12}^{4}q^{9}-\zeta_{12}^{3}q^{13}+\cdots\)
3920.1.cl.a 3920.cl 35.l $8$ $1.956$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{7}q^{3}+\zeta_{24}^{5}q^{5}-\zeta_{24}^{4}q^{11}+\cdots\)
3920.1.cl.b 3920.cl 35.l $8$ $1.956$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{7}q^{3}+\zeta_{24}^{11}q^{5}+\zeta_{24}^{4}q^{11}+\cdots\)
3920.1.cx.a 3920.cx 140.x $16$ $1.956$ \(\Q(\zeta_{48})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{48}^{5}q^{5}-\zeta_{48}^{20}q^{9}+(-\zeta_{48}^{15}+\cdots)q^{13}+\cdots\)
3920.1.di.a 3920.di 980.aa $12$ $1.956$ \(\Q(\zeta_{28})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(2\) \(0\) \(q+(-\zeta_{28}^{7}+\zeta_{28}^{11})q^{3}+\zeta_{28}^{2}q^{5}+\cdots\)
3920.1.fc.a 3920.fc 980.aq $24$ $1.956$ \(\Q(\zeta_{84})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(-2\) \(0\) \(q+(-\zeta_{84}^{15}+\zeta_{84}^{35})q^{3}-\zeta_{84}^{32}q^{5}+\cdots\)
3920.2.a.a 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-3\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-3q^{3}-q^{5}+6q^{9}-q^{11}+3q^{13}+\cdots\)
3920.2.a.b 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-3\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-q^{5}+6q^{9}+2q^{11}+3q^{15}+\cdots\)
3920.2.a.c 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-3\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-q^{5}+6q^{9}+5q^{11}+5q^{13}+\cdots\)
3920.2.a.d 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-3\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+q^{5}+6q^{9}+2q^{11}+6q^{13}+\cdots\)
3920.2.a.e 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-2\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}+q^{9}-3q^{11}+q^{13}+\cdots\)
3920.2.a.f 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-2\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
3920.2.a.g 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-2\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+q^{9}-3q^{11}-5q^{13}+\cdots\)
3920.2.a.h 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-2\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+q^{9}-2q^{13}-2q^{15}+\cdots\)
3920.2.a.i 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-2\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+q^{9}+q^{11}+3q^{13}+\cdots\)
3920.2.a.j 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-2\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
3920.2.a.k 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{9}-6q^{11}+2q^{13}+\cdots\)
3920.2.a.l 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{9}-3q^{11}-q^{13}+\cdots\)
3920.2.a.m 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{9}-2q^{11}+q^{15}+\cdots\)
3920.2.a.n 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{9}+q^{11}-5q^{13}+\cdots\)
3920.2.a.o 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{9}+5q^{11}+7q^{13}+\cdots\)
3920.2.a.p 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-1\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{3}-q^{5}-2q^{9}+6q^{11}-4q^{13}+\cdots\)
3920.2.a.q 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{9}+2q^{11}-4q^{13}+\cdots\)
3920.2.a.r 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(-1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-2q^{9}+5q^{11}-q^{13}+\cdots\)
3920.2.a.s 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(0\) \(-1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{9}-4q^{11}+2q^{13}-2q^{17}+\cdots\)
3920.2.a.t 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(0\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{5}-3q^{9}-4q^{11}+6q^{13}-2q^{17}+\cdots\)
3920.2.a.u 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-2q^{9}-3q^{11}+q^{13}+\cdots\)
3920.2.a.v 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(1\) \(-1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-2q^{9}+2q^{11}+4q^{13}+\cdots\)
3920.2.a.w 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{9}-6q^{11}-2q^{13}+\cdots\)
3920.2.a.x 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{9}-3q^{11}+q^{13}+\cdots\)
3920.2.a.y 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{9}-2q^{11}+q^{15}+\cdots\)
3920.2.a.z 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{9}+q^{11}+5q^{13}+\cdots\)
3920.2.a.ba 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{9}+3q^{11}-5q^{13}+\cdots\)
3920.2.a.bb 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(1\) \(1\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{9}+5q^{11}-7q^{13}+\cdots\)
3920.2.a.bc 3920.a 1.a $1$ $31.301$ \(\Q\) None None \(0\) \(1\) \(1\) \(0\) $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{9}+6q^{11}+4q^{13}+\cdots\)
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