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Label Char Prim Dim $A$ Field CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
325.1.u.a 325.u 65.q $8$ $0.162$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{5}q^{2}-\zeta_{24}^{11}q^{3}-\zeta_{24}^{4}q^{6}+\cdots\)
29.2.e.a 29.e 29.e $12$ $0.232$ 12.0.\(\cdots\).1 None None \(-7\) \(-7\) \(-1\) \(-11\) $\mathrm{SU}(2)[C_{14}]$ \(q+(-1+\beta _{3}+\beta _{7}+\beta _{9}+\beta _{10})q^{2}+\cdots\)
468.1.bx.a 468.bx 156.v $8$ $0.234$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+(-\zeta_{24}-\zeta_{24}^{5}+\cdots)q^{5}+\cdots\)
31.2.g.a 31.g 31.g $16$ $0.248$ \(\mathbb{Q}[x]/(x^{16} + \cdots)\) None None \(-6\) \(-12\) \(-3\) \(2\) $\mathrm{SU}(2)[C_{15}]$ \(q+(-1-\beta _{1}+\beta _{3}-\beta _{4}+\beta _{5}+\beta _{6}+\cdots)q^{2}+\cdots\)
525.1.be.a 525.be 105.w $8$ $0.262$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{5}q^{3}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{11}q^{7}+\cdots\)
580.1.y.c 580.y 580.y $12$ $0.289$ \(\Q(\zeta_{28})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(-2\) \(0\) \(q+\zeta_{28}^{9}q^{2}+(\zeta_{28}+\zeta_{28}^{5})q^{3}-\zeta_{28}^{4}q^{4}+\cdots\)
39.2.k.b 39.k 39.k $8$ $0.311$ 8.0.56070144.2 None None \(0\) \(-2\) \(0\) \(-4\) $\mathrm{SU}(2)[C_{12}]$ \(q+(-\beta _{1}-\beta _{2}+\beta _{3}-\beta _{4}+2\beta _{5}+\beta _{7})q^{2}+\cdots\)
667.1.i.b 667.i 667.i $12$ $0.333$ \(\Q(\zeta_{21})\) \(\Q(\sqrt{-23}) \) None \(-5\) \(2\) \(0\) \(0\) \(q+(-\zeta_{42}+\zeta_{42}^{14})q^{2}+(\zeta_{42}^{16}-\zeta_{42}^{17}+\cdots)q^{3}+\cdots\)
667.1.k.b 667.k 667.k $12$ $0.333$ \(\Q(\zeta_{21})\) \(\Q(\sqrt{-23}) \) None \(7\) \(0\) \(0\) \(0\) \(q+(\zeta_{42}^{7}+\zeta_{42}^{8})q^{2}+(\zeta_{42}^{2}-\zeta_{42}^{10}+\cdots)q^{3}+\cdots\)
696.1.bb.a 696.bb 696.ab $12$ $0.347$ \(\Q(\zeta_{28})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(4\) \(q+\zeta_{28}^{11}q^{2}+\zeta_{28}^{13}q^{3}-\zeta_{28}^{8}q^{4}+\cdots\)
700.1.bf.a 700.bf 140.x $8$ $0.349$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{11}q^{2}+(\zeta_{24}^{5}+\zeta_{24}^{9})q^{3}-\zeta_{24}^{10}q^{4}+\cdots\)
765.1.bz.a 765.bz 85.p $16$ $0.382$ \(\Q(\zeta_{32})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{32}-\zeta_{32}^{3})q^{2}+(\zeta_{32}^{2}-\zeta_{32}^{4}+\cdots)q^{4}+\cdots\)
840.1.dh.a 840.dh 840.ch $8$ $0.419$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{5}q^{2}+\zeta_{24}q^{3}+\zeta_{24}^{10}q^{4}+\cdots\)
840.1.dh.b 840.dh 840.ch $8$ $0.419$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(4\) \(q+\zeta_{24}^{5}q^{2}+\zeta_{24}q^{3}+\zeta_{24}^{10}q^{4}+\cdots\)
855.1.ck.a 855.ck 95.m $8$ $0.427$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}q^{2}+\zeta_{24}^{7}q^{5}+\zeta_{24}^{3}q^{8}-\zeta_{24}^{8}q^{10}+\cdots\)
855.1.cw.a 855.cw 95.o $12$ $0.427$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{36}^{7}+\zeta_{36}^{15})q^{2}+(\zeta_{36}^{4}-\zeta_{36}^{12}+\cdots)q^{4}+\cdots\)
900.1.bd.a 900.bd 180.v $8$ $0.449$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{11}q^{2}-\zeta_{24}q^{3}-\zeta_{24}^{10}q^{4}+\cdots\)
900.1.bh.a 900.bh 300.u $16$ $0.449$ \(\Q(\zeta_{40})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{40}^{11}q^{2}-\zeta_{40}^{2}q^{4}+\zeta_{40}^{3}q^{5}+\cdots\)
58.2.e.a 58.e 29.e $12$ $0.463$ \(\Q(\zeta_{28})\) None None \(0\) \(0\) \(-2\) \(4\) $\mathrm{SU}(2)[C_{14}]$ \(q-\zeta_{28}^{9}q^{2}+(-\zeta_{28}-\zeta_{28}^{3}-\zeta_{28}^{5}+\cdots)q^{3}+\cdots\)
943.1.n.b 943.n 943.n $16$ $0.471$ \(\Q(\zeta_{60})\) \(\Q(\sqrt{-23}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+(-\zeta_{60}^{5}+\zeta_{60}^{19})q^{2}+(\zeta_{60}+\zeta_{60}^{14}+\cdots)q^{3}+\cdots\)
960.1.cl.a 960.cl 960.bl $16$ $0.479$ \(\Q(\zeta_{32})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{13}q^{2}+\zeta_{32}q^{3}-\zeta_{32}^{10}q^{4}+\cdots\)
975.1.bk.a 975.bk 195.ac $8$ $0.487$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{5}q^{3}+\zeta_{24}^{4}q^{4}+(\zeta_{24}^{9}-\zeta_{24}^{11}+\cdots)q^{7}+\cdots\)
975.1.bv.a 975.bv 195.an $8$ $0.487$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{11}q^{3}-\zeta_{24}^{4}q^{4}+(\zeta_{24}^{3}-\zeta_{24}^{5}+\cdots)q^{7}+\cdots\)
980.1.w.a 980.w 35.l $8$ $0.489$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{7}q^{3}+\zeta_{24}^{5}q^{5}+\zeta_{24}^{4}q^{11}+\cdots\)
1008.1.dt.a 1008.dt 112.u $8$ $0.503$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(-4\) \(q-\zeta_{24}^{11}q^{2}-\zeta_{24}^{10}q^{4}+\zeta_{24}^{11}q^{5}+\cdots\)
1008.1.ed.a 1008.ed 336.at $8$ $0.503$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+\zeta_{24}q^{5}+\zeta_{24}^{2}q^{7}+\cdots\)
1020.1.cl.a 1020.cl 1020.bl $16$ $0.509$ \(\Q(\zeta_{32})\) \(\Q(\sqrt{-15}) \) 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 $16$ $0.509$ \(\Q(\zeta_{32})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{9}q^{2}-\zeta_{32}^{15}q^{3}-\zeta_{32}^{2}q^{4}+\cdots\)
19.3.f.a 19.f 19.f $12$ $0.518$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(-6\) \(0\) \(-6\) \(6\) $\mathrm{SU}(2)[C_{18}]$ \(q+\beta _{10}q^{2}+(\beta _{1}-\beta _{4}-\beta _{5}+\beta _{6}-\beta _{7}+\cdots)q^{3}+\cdots\)
1044.1.ba.a 1044.ba 116.h $12$ $0.521$ \(\Q(\zeta_{28})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{28}^{3}q^{2}+\zeta_{28}^{6}q^{4}+(-\zeta_{28}+\zeta_{28}^{5}+\cdots)q^{5}+\cdots\)
1064.1.ef.c 1064.ef 1064.df $12$ $0.531$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-14}) \) None \(0\) \(0\) \(0\) \(6\) \(q+\zeta_{36}^{10}q^{2}+(-\zeta_{36}-\zeta_{36}^{7})q^{3}+\cdots\)
1071.1.ci.a 1071.ci 1071.bi $8$ $0.534$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{10}q^{2}-\zeta_{24}^{5}q^{3}+\zeta_{24}^{5}q^{5}+\cdots\)
67.2.e.c 67.e 67.e $20$ $0.535$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(-4\) \(-4\) \(1\) \(-8\) $\mathrm{SU}(2)[C_{11}]$ \(q+(-\beta _{9}-\beta _{14})q^{2}-\beta _{19}q^{3}+(-1+\cdots)q^{4}+\cdots\)
1092.1.dw.a 1092.dw 1092.cw $8$ $0.545$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(-4\) \(0\) \(q+\zeta_{24}^{11}q^{2}-\zeta_{24}^{7}q^{3}-\zeta_{24}^{10}q^{4}+\cdots\)
1092.1.dw.b 1092.dw 1092.cw $8$ $0.545$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(4\) \(0\) \(q+\zeta_{24}^{11}q^{2}-\zeta_{24}q^{3}-\zeta_{24}^{10}q^{4}+\cdots\)
69.2.e.c 69.e 23.c $20$ $0.551$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None None \(-4\) \(-2\) \(-6\) \(-6\) $\mathrm{SU}(2)[C_{11}]$ \(q+(\beta _{1}+\beta _{3}-\beta _{4}+\beta _{5}+2\beta _{6}+2\beta _{7}+\cdots)q^{2}+\cdots\)
1120.1.da.a 1120.da 35.l $8$ $0.559$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(-4\) \(0\) \(q-\zeta_{24}^{5}q^{3}-\zeta_{24}^{4}q^{5}+\zeta_{24}^{11}q^{7}+\cdots\)
1148.1.bj.a 1148.bj 1148.aj $8$ $0.573$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{2}q^{2}-\zeta_{24}^{7}q^{3}+\zeta_{24}^{4}q^{4}+\cdots\)
1183.1.x.a 1183.x 91.x $8$ $0.590$ \(\Q(\zeta_{24})\) None None \(0\) \(-4\) \(0\) \(0\) \(q+\zeta_{24}^{3}q^{2}-\zeta_{24}^{4}q^{3}+\zeta_{24}^{7}q^{5}+\cdots\)
1183.1.z.a 1183.z 91.z $8$ $0.590$ \(\Q(\zeta_{24})\) None None \(0\) \(-4\) \(0\) \(0\) \(q-\zeta_{24}^{11}q^{2}-\zeta_{24}^{4}q^{3}+\zeta_{24}^{11}q^{5}+\cdots\)
1183.1.bd.a 1183.bd 91.ad $8$ $0.590$ \(\Q(\zeta_{24})\) None None \(0\) \(8\) \(0\) \(0\) \(q-\zeta_{24}^{11}q^{2}+q^{3}-\zeta_{24}^{7}q^{5}-\zeta_{24}^{11}q^{6}+\cdots\)
74.2.h.a 74.h 37.h $12$ $0.591$ \(\Q(\zeta_{36})\) None None \(0\) \(6\) \(0\) \(-12\) $\mathrm{SU}(2)[C_{18}]$ \(q+\zeta_{36}q^{2}+(1-\zeta_{36}^{4}-\zeta_{36}^{6})q^{3}+\cdots\)
1216.1.bi.a 1216.bi 152.s $12$ $0.607$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{36}^{13}+\zeta_{36}^{15})q^{3}+(-\zeta_{36}^{8}-\zeta_{36}^{10}+\cdots)q^{9}+\cdots\)
1225.1.q.b 1225.q 35.l $8$ $0.611$ \(\Q(\zeta_{24})\) \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{24}^{5}+\zeta_{24}^{9})q^{2}+(-\zeta_{24}^{2}-\zeta_{24}^{6}+\cdots)q^{4}+\cdots\)
1260.1.eb.a 1260.eb 1260.db $8$ $0.629$ \(\Q(\zeta_{24})\) None None \(-4\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{4}q^{2}+\zeta_{24}^{3}q^{3}+\zeta_{24}^{8}q^{4}+\cdots\)
1260.1.eb.b 1260.eb 1260.db $8$ $0.629$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{24}^{10}q^{2}+\zeta_{24}^{3}q^{3}-\zeta_{24}^{8}q^{4}+\cdots\)
1271.1.bw.b 1271.bw 1271.aw $16$ $0.634$ \(\Q(\zeta_{60})\) \(\Q(\sqrt{-31}) \) None \(0\) \(0\) \(0\) \(-8\) \(q+(-\zeta_{60}^{13}-\zeta_{60}^{29})q^{2}+(-\zeta_{60}^{12}+\cdots)q^{4}+\cdots\)
1275.1.bk.a 1275.bk 255.ac $16$ $0.636$ \(\Q(\zeta_{32})\) \(\Q(\sqrt{-15}) \) 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 $16$ $0.636$ \(\Q(\zeta_{32})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{32}+\zeta_{32}^{11})q^{2}-\zeta_{32}^{7}q^{3}+\cdots\)
1296.1.x.a 1296.x 144.w $8$ $0.647$ \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}+\zeta_{24}^{5}q^{5}-\zeta_{24}^{10}q^{7}+\cdots\)
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