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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
291.1.o.a 291.o 291.o $8$ $0.145$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}q^{3}+\zeta_{16}^{6}q^{4}+(-\zeta_{16}+\zeta_{16}^{4}+\cdots)q^{7}+\cdots\)
340.1.bc.a 340.bc 340.ac $8$ $0.170$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{5}q^{2}-\zeta_{16}^{2}q^{4}-\zeta_{16}^{6}q^{5}+\cdots\)
340.1.bj.a 340.bj 340.aj $8$ $0.170$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{5}q^{2}-\zeta_{16}^{2}q^{4}+\zeta_{16}^{3}q^{5}+\cdots\)
408.1.bg.a 408.bg 408.ag $8$ $0.204$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}q^{2}+\zeta_{16}^{6}q^{3}+\zeta_{16}^{2}q^{4}-\zeta_{16}^{7}q^{6}+\cdots\)
408.1.bg.b 408.bg 408.ag $8$ $0.204$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}q^{2}+\zeta_{16}^{5}q^{3}+\zeta_{16}^{2}q^{4}+\zeta_{16}^{6}q^{6}+\cdots\)
448.1.bf.a 448.bf 448.af $8$ $0.224$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}q^{2}+\zeta_{16}^{2}q^{4}+\zeta_{16}^{5}q^{7}-\zeta_{16}^{3}q^{8}+\cdots\)
544.1.cd.a 544.cd 17.e $8$ $0.271$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{16}-\zeta_{16}^{6})q^{5}+\zeta_{16}^{3}q^{9}+(-\zeta_{16}^{5}+\cdots)q^{13}+\cdots\)
579.1.o.a 579.o 579.o $8$ $0.289$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}^{2}q^{3}+\zeta_{16}^{2}q^{4}+(\zeta_{16}+\zeta_{16}^{7}+\cdots)q^{7}+\cdots\)
612.1.bf.a 612.bf 204.t $8$ $0.305$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}^{3}q^{2}+\zeta_{16}^{6}q^{4}+(-\zeta_{16}-\zeta_{16}^{4}+\cdots)q^{5}+\cdots\)
612.1.bf.b 612.bf 204.t $8$ $0.305$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{3}q^{2}+\zeta_{16}^{6}q^{4}+(\zeta_{16}+\zeta_{16}^{4}+\cdots)q^{5}+\cdots\)
765.1.bz.a 765.bz 85.p $16$ $0.382$ \(\Q(\zeta_{32})\) $D_{16}$ \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{32}-\zeta_{32}^{3})q^{2}+(\zeta_{32}^{2}-\zeta_{32}^{4}+\cdots)q^{4}+\cdots\)
772.1.p.a 772.p 772.p $8$ $0.385$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{7}q^{2}-\zeta_{16}^{6}q^{4}+(-\zeta_{16}+\zeta_{16}^{6}+\cdots)q^{5}+\cdots\)
776.1.be.a 776.be 776.ae $8$ $0.387$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-2}) \) None \(0\) \(-8\) \(0\) \(0\) \(q-\zeta_{16}^{3}q^{2}+(-1-\zeta_{16}^{2})q^{3}+\zeta_{16}^{6}q^{4}+\cdots\)
791.1.d.d 791.d 791.d $8$ $0.395$ \(\Q(\zeta_{32})^+\) $D_{16}$ \(\Q(\sqrt{-791}) \) None \(0\) \(0\) \(0\) \(-8\) \(q+\beta _{2}q^{2}+\beta _{5}q^{3}+(1+\beta _{4})q^{4}-\beta _{3}q^{5}+\cdots\)
884.1.bw.a 884.bw 884.aw $8$ $0.441$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{5}q^{2}-\zeta_{16}^{2}q^{4}+(\zeta_{16}^{6}-\zeta_{16}^{7}+\cdots)q^{5}+\cdots\)
884.1.cc.a 884.cc 884.bc $8$ $0.441$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}^{5}q^{2}-\zeta_{16}^{2}q^{4}+(-\zeta_{16}^{2}-\zeta_{16}^{7}+\cdots)q^{5}+\cdots\)
935.1.y.a 935.y 935.y $16$ $0.467$ \(\Q(\zeta_{32})\) $D_{16}$ \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{32}^{11}-\zeta_{32}^{13})q^{2}+(-\zeta_{32}^{6}+\zeta_{32}^{8}+\cdots)q^{4}+\cdots\)
960.1.cl.a 960.cl 960.bl $16$ $0.479$ \(\Q(\zeta_{32})\) $D_{16}$ \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{13}q^{2}+\zeta_{32}q^{3}-\zeta_{32}^{10}q^{4}+\cdots\)
1020.1.cl.a 1020.cl 1020.bl $16$ $0.509$ \(\Q(\zeta_{32})\) $D_{16}$ \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{11}q^{2}-\zeta_{32}^{15}q^{3}-\zeta_{32}^{6}q^{4}+\cdots\)
1020.1.cl.b 1020.cl 1020.bl $16$ $0.509$ \(\Q(\zeta_{32})\) $D_{16}$ \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{9}q^{2}-\zeta_{32}^{15}q^{3}-\zeta_{32}^{2}q^{4}+\cdots\)
1028.1.j.a 1028.j 1028.j $8$ $0.513$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-1}) \) None \(-8\) \(0\) \(0\) \(0\) \(q-q^{2}+q^{4}+(\zeta_{16}^{6}+\zeta_{16}^{7})q^{5}-q^{8}+\cdots\)
1067.1.u.a 1067.u 1067.u $8$ $0.533$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{16}-\zeta_{16}^{5})q^{3}-\zeta_{16}^{2}q^{4}+(\zeta_{16}^{6}+\cdots)q^{5}+\cdots\)
1088.1.co.a 1088.co 136.q $8$ $0.543$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{16}^{6}+\zeta_{16}^{7})q^{3}+(-\zeta_{16}^{4}+\zeta_{16}^{5}+\cdots)q^{9}+\cdots\)
1088.1.co.b 1088.co 136.q $8$ $0.543$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{16}^{6}-\zeta_{16}^{7})q^{3}+(-\zeta_{16}^{4}+\zeta_{16}^{5}+\cdots)q^{9}+\cdots\)
1088.1.cz.a 1088.cz 17.e $8$ $0.543$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{16}^{2}-\zeta_{16}^{7})q^{5}-\zeta_{16}^{5}q^{9}+\cdots\)
1119.1.d.d 1119.d 1119.d $8$ $0.558$ \(\Q(\zeta_{32})^+\) $D_{16}$ \(\Q(\sqrt{-1119}) \) None \(0\) \(-8\) \(0\) \(0\) \(q+\beta _{5}q^{2}-q^{3}+(1-\beta _{6})q^{4}-\beta _{3}q^{5}+\cdots\)
1248.1.cm.a 1248.cm 1248.bm $16$ $0.623$ \(\Q(\zeta_{32})\) $D_{16}$ \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{3}q^{2}+\zeta_{32}^{10}q^{3}+\zeta_{32}^{6}q^{4}+\cdots\)
1275.1.bk.a 1275.bk 255.ac $16$ $0.636$ \(\Q(\zeta_{32})\) $D_{16}$ \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{32}^{5}+\zeta_{32}^{15})q^{2}+\zeta_{32}^{9}q^{3}+(-\zeta_{32}^{4}+\cdots)q^{4}+\cdots\)
1275.1.br.a 1275.br 255.aj $16$ $0.636$ \(\Q(\zeta_{32})\) $D_{16}$ \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{32}+\zeta_{32}^{11})q^{2}-\zeta_{32}^{7}q^{3}+\cdots\)
1351.1.bh.a 1351.bh 1351.ah $8$ $0.674$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{16}-\zeta_{16}^{5})q^{2}-\zeta_{16}^{6}q^{4}-\zeta_{16}^{4}q^{7}+\cdots\)
1360.1.ec.a 1360.ec 340.ac $8$ $0.679$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}^{3}q^{5}-\zeta_{16}q^{9}+(-\zeta_{16}-\zeta_{16}^{7}+\cdots)q^{13}+\cdots\)
1360.1.fc.a 1360.fc 340.aj $8$ $0.679$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{2}q^{5}-\zeta_{16}^{7}q^{9}+(-\zeta_{16}^{3}+\zeta_{16}^{5}+\cdots)q^{13}+\cdots\)
1472.1.s.a 1472.s 1472.s $8$ $0.735$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}q^{2}+(\zeta_{16}-\zeta_{16}^{4})q^{3}+\zeta_{16}^{2}q^{4}+\cdots\)
1496.1.bw.a 1496.bw 1496.aw $8$ $0.747$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}q^{2}+(-\zeta_{16}^{5}-\zeta_{16}^{6})q^{3}+\zeta_{16}^{2}q^{4}+\cdots\)
1496.1.bw.b 1496.bw 1496.aw $8$ $0.747$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}q^{2}+(-\zeta_{16}^{5}-\zeta_{16}^{6})q^{3}+\zeta_{16}^{2}q^{4}+\cdots\)
1520.1.bh.c 1520.bh 1520.ah $16$ $0.759$ \(\Q(\zeta_{32})\) $D_{16}$ \(\Q(\sqrt{-95}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{3}q^{2}+(\zeta_{32}-\zeta_{32}^{7})q^{3}+\zeta_{32}^{6}q^{4}+\cdots\)
1544.1.be.a 1544.be 1544.ae $8$ $0.771$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}^{7}q^{2}+(\zeta_{16}^{5}+\zeta_{16}^{7})q^{3}-\zeta_{16}^{6}q^{4}+\cdots\)
1552.1.bx.a 1552.bx 388.o $8$ $0.775$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{16}^{4}+\zeta_{16}^{7})q^{5}+\zeta_{16}^{2}q^{9}+\cdots\)
1615.1.bx.a 1615.bx 1615.ax $8$ $0.806$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{2}q^{4}-\zeta_{16}^{4}q^{5}+(\zeta_{16}+\zeta_{16}^{6}+\cdots)q^{7}+\cdots\)
1615.1.bx.b 1615.bx 1615.ax $8$ $0.806$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{2}q^{4}+\zeta_{16}q^{5}+(-\zeta_{16}^{2}-\zeta_{16}^{5}+\cdots)q^{7}+\cdots\)
1615.1.ce.a 1615.ce 1615.be $8$ $0.806$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{6}q^{4}+\zeta_{16}^{4}q^{5}+(-\zeta_{16}^{2}+\zeta_{16}^{7}+\cdots)q^{7}+\cdots\)
1615.1.ce.b 1615.ce 1615.be $8$ $0.806$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{6}q^{4}-\zeta_{16}^{7}q^{5}+(\zeta_{16}^{3}-\zeta_{16}^{6}+\cdots)q^{7}+\cdots\)
1632.1.ds.a 1632.ds 408.ag $8$ $0.814$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}^{5}q^{3}-\zeta_{16}^{2}q^{9}+(\zeta_{16}+\zeta_{16}^{4}+\cdots)q^{11}+\cdots\)
1632.1.ds.b 1632.ds 408.ag $8$ $0.814$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{16}^{6}q^{3}-\zeta_{16}^{4}q^{9}+(-\zeta_{16}-\zeta_{16}^{4}+\cdots)q^{11}+\cdots\)
1665.1.t.a 1665.t 185.h $16$ $0.831$ \(\Q(\zeta_{32})\) $D_{16}$ \(\Q(\sqrt{-111}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{32}^{9}-\zeta_{32}^{15})q^{2}+(-\zeta_{32}^{2}+\cdots)q^{4}+\cdots\)
1700.1.bk.a 1700.bk 340.ac $8$ $0.848$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{5}q^{2}-\zeta_{16}^{2}q^{4}-\zeta_{16}^{7}q^{8}+\cdots\)
1700.1.br.a 1700.br 340.aj $8$ $0.848$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{16}^{5}q^{2}-\zeta_{16}^{2}q^{4}-\zeta_{16}^{7}q^{8}+\cdots\)
1731.1.p.a 1731.p 1731.p $8$ $0.864$ \(\Q(\zeta_{16})\) $D_{16}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-8\) \(q+\zeta_{16}^{2}q^{3}+\zeta_{16}^{4}q^{4}+(-1-\zeta_{16}+\cdots)q^{7}+\cdots\)
1760.1.bw.a 1760.bw 1760.aw $16$ $0.878$ \(\Q(\zeta_{32})\) $D_{16}$ \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{3}q^{2}+\zeta_{32}^{6}q^{4}+\zeta_{32}^{10}q^{5}+\cdots\)
1776.1.z.c 1776.z 1776.z $16$ $0.886$ \(\Q(\zeta_{32})\) $D_{16}$ \(\Q(\sqrt{-111}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{3}q^{2}+\zeta_{32}^{4}q^{3}+\zeta_{32}^{6}q^{4}+\cdots\)
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