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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
309.1.l.a 309.l 309.l $16$ $0.154$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q+\zeta_{34}^{6}q^{3}-\zeta_{34}^{7}q^{4}+(\zeta_{34}^{4}-\zeta_{34}^{9}+\cdots)q^{7}+\cdots\)
383.1.b.a 383.b 383.b $8$ $0.191$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-383}) \) None \(-1\) \(-1\) \(0\) \(-1\) \(q+\beta _{6}q^{2}+\beta _{4}q^{3}+(1-\beta _{5})q^{4}+(\beta _{2}+\cdots)q^{6}+\cdots\)
548.1.k.a 548.k 548.k $16$ $0.273$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(-2\) \(0\) \(q-\zeta_{34}^{7}q^{2}+\zeta_{34}^{14}q^{4}+(\zeta_{34}^{4}+\zeta_{34}^{16}+\cdots)q^{5}+\cdots\)
921.1.p.a 921.p 921.p $16$ $0.460$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(15\) \(q+\zeta_{34}^{12}q^{3}-\zeta_{34}^{3}q^{4}+(1-\zeta_{34}+\cdots)q^{7}+\cdots\)
959.1.t.a 959.t 959.t $16$ $0.479$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-7}) \) None \(-2\) \(0\) \(0\) \(-1\) \(q+(\zeta_{34}^{2}-\zeta_{34}^{7})q^{2}+(\zeta_{34}^{4}-\zeta_{34}^{9}+\cdots)q^{4}+\cdots\)
991.1.b.a 991.b 991.b $8$ $0.495$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-991}) \) None \(-1\) \(0\) \(-1\) \(0\) \(q+\beta _{6}q^{2}+(1-\beta _{5})q^{4}+\beta _{2}q^{5}+(-\beta _{1}+\cdots)q^{8}+\cdots\)
1079.1.d.a 1079.d 1079.d $8$ $0.538$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-1079}) \) None \(-1\) \(-1\) \(-1\) \(0\) \(q+\beta _{6}q^{2}-\beta _{1}q^{3}+(1-\beta _{5})q^{4}-\beta _{3}q^{5}+\cdots\)
1079.1.d.b 1079.d 1079.d $8$ $0.538$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-1079}) \) None \(1\) \(-1\) \(1\) \(0\) \(q-\beta _{2}q^{2}+\beta _{6}q^{3}+(1+\beta _{4})q^{4}+\beta _{1}q^{5}+\cdots\)
1091.1.b.a 1091.b 1091.b $8$ $0.544$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-1091}) \) None \(0\) \(-1\) \(-1\) \(-1\) \(q+\beta _{6}q^{3}+q^{4}-\beta _{7}q^{5}+\beta _{2}q^{7}+(1+\cdots)q^{9}+\cdots\)
1096.1.s.a 1096.s 1096.s $16$ $0.547$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-2}) \) None \(-1\) \(-2\) \(0\) \(0\) \(q-\zeta_{34}^{7}q^{2}+(-\zeta_{34}^{3}+\zeta_{34}^{12})q^{3}+\cdots\)
1133.1.s.a 1133.s 1133.s $16$ $0.565$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-11}) \) None \(0\) \(-2\) \(-2\) \(0\) \(q+(-\zeta_{34}^{5}-\zeta_{34}^{9})q^{3}-\zeta_{34}^{11}q^{4}+\cdots\)
1156.1.m.a 1156.m 1156.m $16$ $0.577$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(15\) \(0\) \(q+\zeta_{34}^{6}q^{2}+\zeta_{34}^{12}q^{4}+(1-\zeta_{34}^{15}+\cdots)q^{5}+\cdots\)
1227.1.t.a 1227.t 1227.t $16$ $0.612$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q+\zeta_{34}^{4}q^{3}+\zeta_{34}^{10}q^{4}+(\zeta_{34}^{4}-\zeta_{34}^{13}+\cdots)q^{7}+\cdots\)
1343.1.d.a 1343.d 1343.d $8$ $0.670$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-1343}) \) None \(-1\) \(-1\) \(0\) \(-1\) \(q+\beta _{2}q^{2}+\beta _{6}q^{3}+(1+\beta _{4})q^{4}+(-1+\cdots)q^{6}+\cdots\)
1343.1.d.b 1343.d 1343.d $8$ $0.670$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-1343}) \) None \(-1\) \(1\) \(0\) \(1\) \(q-\beta _{5}q^{2}-\beta _{2}q^{3}+(1-\beta _{7})q^{4}+(\beta _{3}+\cdots)q^{6}+\cdots\)
1415.1.d.a 1415.d 1415.d $8$ $0.706$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-1415}) \) None \(-1\) \(-1\) \(8\) \(0\) \(q+\beta _{6}q^{2}+(-1+\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{3}+\cdots\)
1415.1.d.b 1415.d 1415.d $8$ $0.706$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-1415}) \) None \(1\) \(1\) \(-8\) \(0\) \(q-\beta _{2}q^{2}+\beta _{3}q^{3}+(1+\beta _{4})q^{4}-q^{5}+\cdots\)
1507.1.q.a 1507.q 1507.q $16$ $0.752$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-11}) \) None \(0\) \(-2\) \(-2\) \(0\) \(q+(\zeta_{34}^{4}-\zeta_{34}^{15})q^{3}-\zeta_{34}^{3}q^{4}+(-\zeta_{34}^{5}+\cdots)q^{5}+\cdots\)
1559.1.b.b 1559.b 1559.b $8$ $0.778$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-1559}) \) None \(-1\) \(-1\) \(-1\) \(-1\) \(q+\beta _{4}q^{2}+\beta _{6}q^{3}+(\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+\cdots)q^{4}+\cdots\)
1571.1.b.a 1571.b 1571.b $8$ $0.784$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-1571}) \) None \(0\) \(-1\) \(-1\) \(-1\) \(q+\beta _{6}q^{3}+q^{4}-\beta _{7}q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
1636.1.s.a 1636.s 1636.s $16$ $0.816$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(-2\) \(0\) \(q-\zeta_{34}^{13}q^{2}-\zeta_{34}^{9}q^{4}+(-\zeta_{34}+\zeta_{34}^{12}+\cdots)q^{5}+\cdots\)
1663.1.b.a 1663.b 1663.b $8$ $0.830$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-1663}) \) None \(-1\) \(0\) \(0\) \(0\) \(q+\beta _{6}q^{2}+(1-\beta _{5})q^{4}+(-\beta _{1}+\beta _{6}+\cdots)q^{8}+\cdots\)
1673.1.q.a 1673.q 1673.q $16$ $0.835$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-7}) \) None \(-2\) \(0\) \(0\) \(-1\) \(q+(\zeta_{34}^{6}-\zeta_{34}^{9})q^{2}+(-\zeta_{34}+\zeta_{34}^{12}+\cdots)q^{4}+\cdots\)
1783.1.b.a 1783.b 1783.b $8$ $0.890$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-1783}) \) None \(-1\) \(0\) \(0\) \(-1\) \(q+\beta _{6}q^{2}+(1-\beta _{5})q^{4}+\beta _{2}q^{7}+(-\beta _{1}+\cdots)q^{8}+\cdots\)
1839.1.s.a 1839.s 1839.s $16$ $0.918$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q+\zeta_{34}^{10}q^{3}-\zeta_{34}^{13}q^{4}+(-\zeta_{34}^{3}+\cdots)q^{7}+\cdots\)
2055.1.bf.a 2055.bf 2055.af $16$ $1.026$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-15}) \) None \(-15\) \(1\) \(1\) \(0\) \(q+(-1-\zeta_{34}^{10})q^{2}+\zeta_{34}^{9}q^{3}+(1+\cdots)q^{4}+\cdots\)
2055.1.bf.b 2055.bf 2055.af $16$ $1.026$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-15}) \) None \(15\) \(-1\) \(-1\) \(0\) \(q+(1+\zeta_{34}^{10})q^{2}-\zeta_{34}^{9}q^{3}+(1-\zeta_{34}^{3}+\cdots)q^{4}+\cdots\)
2060.1.z.a 2060.z 2060.z $16$ $1.028$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-5}) \) None \(-1\) \(-2\) \(-1\) \(-2\) \(q-\zeta_{34}q^{2}+(-\zeta_{34}^{5}-\zeta_{34}^{13})q^{3}+\cdots\)
2060.1.z.b 2060.z 2060.z $16$ $1.028$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-5}) \) None \(1\) \(2\) \(-1\) \(2\) \(q+\zeta_{34}q^{2}+(\zeta_{34}^{5}+\zeta_{34}^{13})q^{3}+\zeta_{34}^{2}q^{4}+\cdots\)
2103.1.d.a 2103.d 2103.d $8$ $1.050$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-2103}) \) None \(-1\) \(8\) \(0\) \(-1\) \(q+\beta _{6}q^{2}+q^{3}+(1-\beta _{5})q^{4}+\beta _{6}q^{6}+\cdots\)
2103.1.d.b 2103.d 2103.d $8$ $1.050$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-2103}) \) None \(1\) \(-8\) \(0\) \(-1\) \(q-\beta _{2}q^{2}-q^{3}+(1+\beta _{4})q^{4}+\beta _{2}q^{6}+\cdots\)
2119.1.d.a 2119.d 2119.d $8$ $1.058$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-2119}) \) None \(-1\) \(0\) \(-1\) \(-1\) \(q+\beta _{6}q^{2}+(1-\beta _{5})q^{4}+(-1+\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
2119.1.d.b 2119.d 2119.d $8$ $1.058$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-2119}) \) None \(1\) \(0\) \(1\) \(1\) \(q-\beta _{2}q^{2}+(1+\beta _{4})q^{4}+\beta _{3}q^{5}+\beta _{5}q^{7}+\cdots\)
2312.1.x.a 2312.x 2312.x $16$ $1.154$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-2}) \) None \(-1\) \(-2\) \(0\) \(0\) \(q-\zeta_{34}q^{2}+(-\zeta_{34}^{5}-\zeta_{34}^{7})q^{3}+\zeta_{34}^{2}q^{4}+\cdots\)
2391.1.d.a 2391.d 2391.d $8$ $1.193$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-2391}) \) None \(-1\) \(8\) \(-1\) \(0\) \(q+\beta _{6}q^{2}+q^{3}+(1-\beta _{5})q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
2391.1.d.b 2391.d 2391.d $8$ $1.193$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-2391}) \) None \(1\) \(-8\) \(1\) \(0\) \(q-\beta _{2}q^{2}-q^{3}+(1+\beta _{4})q^{4}+\beta _{3}q^{5}+\cdots\)
2452.1.s.a 2452.s 2452.s $16$ $1.224$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(-2\) \(0\) \(q+\zeta_{34}^{10}q^{2}-\zeta_{34}^{3}q^{4}+(-\zeta_{34}^{5}+\cdots)q^{5}+\cdots\)
2456.1.h.a 2456.h 2456.h $8$ $1.226$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-614}) \) None \(-8\) \(1\) \(1\) \(-1\) \(q-q^{2}-\beta _{2}q^{3}+q^{4}+(1-\beta _{1}+\beta _{2}+\cdots)q^{5}+\cdots\)
2456.1.h.b 2456.h 2456.h $8$ $1.226$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-614}) \) None \(8\) \(-1\) \(-1\) \(-1\) \(q+q^{2}+\beta _{6}q^{3}+q^{4}-\beta _{7}q^{5}+\beta _{6}q^{6}+\cdots\)
2456.1.ba.a 2456.ba 2456.aa $16$ $1.226$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-2}) \) None \(-1\) \(-2\) \(0\) \(0\) \(q-\zeta_{34}^{7}q^{2}+(-\zeta_{34}^{3}-\zeta_{34}^{7})q^{3}+\cdots\)
2463.1.d.a 2463.d 2463.d $8$ $1.229$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-2463}) \) None \(-1\) \(8\) \(0\) \(-1\) \(q+\beta _{6}q^{2}+q^{3}+(1-\beta _{5})q^{4}+\beta _{6}q^{6}+\cdots\)
2463.1.d.b 2463.d 2463.d $8$ $1.229$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-2463}) \) None \(1\) \(-8\) \(0\) \(-1\) \(q-\beta _{2}q^{2}-q^{3}+(1+\beta _{4})q^{4}+\beta _{2}q^{6}+\cdots\)
2472.1.bj.a 2472.bj 2472.aj $16$ $1.234$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-6}) \) None \(-1\) \(-1\) \(-2\) \(-2\) \(q+\zeta_{34}^{2}q^{2}-\zeta_{34}q^{3}+\zeta_{34}^{4}q^{4}+(-\zeta_{34}+\cdots)q^{5}+\cdots\)
2472.1.bj.b 2472.bj 2472.aj $16$ $1.234$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-6}) \) None \(1\) \(1\) \(2\) \(-2\) \(q-\zeta_{34}^{2}q^{2}+\zeta_{34}q^{3}+\zeta_{34}^{4}q^{4}+(\zeta_{34}+\cdots)q^{5}+\cdots\)
2531.1.b.a 2531.b 2531.b $8$ $1.263$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-2531}) \) None \(0\) \(-1\) \(-1\) \(0\) \(q+\beta _{6}q^{3}+q^{4}+(-1+\beta _{1}-\beta _{2}+\beta _{3}+\cdots)q^{5}+\cdots\)
2603.1.x.a 2603.x 2603.x $16$ $1.299$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(-2\) \(15\) \(q+\zeta_{34}^{10}q^{4}+(-\zeta_{34}^{3}+\zeta_{34}^{4})q^{5}+\cdots\)
2687.1.b.c 2687.b 2687.b $8$ $1.341$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-2687}) \) None \(-1\) \(-1\) \(0\) \(-1\) \(q+\beta _{6}q^{2}-\beta _{5}q^{3}+(1-\beta _{5})q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
2757.1.p.a 2757.p 2757.p $16$ $1.376$ \(\Q(\zeta_{34})\) $D_{17}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q+\zeta_{34}^{12}q^{3}+\zeta_{34}^{8}q^{4}+(-\zeta_{34}^{5}+\cdots)q^{7}+\cdots\)
2804.1.d.a 2804.d 2804.d $8$ $1.399$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-701}) \) None \(-8\) \(1\) \(-1\) \(0\) \(q-q^{2}-\beta _{2}q^{3}+q^{4}-\beta _{5}q^{5}+\beta _{2}q^{6}+\cdots\)
2804.1.d.b 2804.d 2804.d $8$ $1.399$ \(\Q(\zeta_{34})^+\) $D_{17}$ \(\Q(\sqrt{-701}) \) None \(8\) \(-1\) \(-1\) \(0\) \(q+q^{2}+\beta _{6}q^{3}+q^{4}+\beta _{2}q^{5}+\beta _{6}q^{6}+\cdots\)
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