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Label Char Prim Dim $A$ Field CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
589.1.bg.a 589.bg 589.ag $18$ $0.294$ \(\Q(\zeta_{54})\) \(\Q(\sqrt{-31}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{54}^{17}-\zeta_{54}^{25})q^{2}+(-\zeta_{54}^{7}+\cdots)q^{4}+\cdots\)
37.2.h.a 37.h 37.h $18$ $0.295$ \(\mathbb{Q}[x]/(x^{18} + \cdots)\) None None \(-9\) \(-9\) \(-3\) \(-3\) $\mathrm{SU}(2)[C_{18}]$ \(q+(\beta _{4}-\beta _{11})q^{2}+(-1-\beta _{12}+\beta _{16}+\cdots)q^{3}+\cdots\)
621.1.k.a 621.k 621.k $18$ $0.310$ \(\Q(\zeta_{54})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{54}+\zeta_{54}^{20})q^{2}-\zeta_{54}^{5}q^{3}+\cdots\)
41.2.g.a 41.g 41.g $24$ $0.327$ None None \(-10\) \(-6\) \(-10\) \(-8\) $\mathrm{SU}(2)[C_{20}]$
53.2.d.a 53.d 53.d $36$ $0.423$ None None \(-8\) \(-9\) \(-5\) \(-5\) $\mathrm{SU}(2)[C_{13}]$
897.1.w.a 897.w 897.w $12$ $0.448$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{36}^{7}+\zeta_{36}^{8})q^{2}+\zeta_{36}^{5}q^{3}+(\zeta_{36}^{14}+\cdots)q^{4}+\cdots\)
897.1.w.b 897.w 897.w $12$ $0.448$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{36}^{2}+\zeta_{36}^{13})q^{2}+\zeta_{36}^{7}q^{3}+(\zeta_{36}^{4}+\cdots)q^{4}+\cdots\)
1085.1.cp.a 1085.cp 1085.bp $12$ $0.541$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-31}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{36}^{7}+\zeta_{36}^{8})q^{2}+(\zeta_{36}^{14}+\zeta_{36}^{15}+\cdots)q^{4}+\cdots\)
1085.1.cp.b 1085.cp 1085.bp $12$ $0.541$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-31}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{36}^{5}-\zeta_{36}^{10})q^{2}+(-\zeta_{36}^{2}+\cdots)q^{4}+\cdots\)
1121.1.l.a 1121.l 1121.l $18$ $0.559$ \(\Q(\zeta_{54})\) \(\Q(\sqrt{-59}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{54}^{7}-\zeta_{54}^{17})q^{3}+\zeta_{54}^{6}q^{4}+\cdots\)
1196.1.x.a 1196.x 1196.x $12$ $0.597$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{36}^{10}q^{2}+(-\zeta_{36}^{13}-\zeta_{36}^{17}+\cdots)q^{3}+\cdots\)
1196.1.x.b 1196.x 1196.x $12$ $0.597$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{36}^{5}q^{2}+(\zeta_{36}-\zeta_{36}^{11})q^{3}+\zeta_{36}^{10}q^{4}+\cdots\)
93.2.m.b 93.m 31.g $24$ $0.743$ None None \(0\) \(3\) \(-6\) \(-1\) $\mathrm{SU}(2)[C_{15}]$
1593.1.l.a 1593.l 1593.l $18$ $0.795$ \(\Q(\zeta_{54})\) \(\Q(\sqrt{-59}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{54}^{17}q^{3}-\zeta_{54}^{15}q^{4}+(\zeta_{54}^{8}-\zeta_{54}^{13}+\cdots)q^{5}+\cdots\)
102.2.i.a 102.i 51.i $24$ $0.814$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{16}]$
102.2.i.b 102.i 51.i $24$ $0.814$ None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{16}]$
1679.1.o.a 1679.o 1679.o $12$ $0.838$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{36}+\zeta_{36}^{5})q^{2}+(\zeta_{36}^{8}+\zeta_{36}^{10}+\cdots)q^{3}+\cdots\)
1679.1.q.a 1679.q 1679.q $18$ $0.838$ \(\Q(\zeta_{54})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{54}^{17}+\zeta_{54}^{25})q^{2}+(\zeta_{54}^{20}-\zeta_{54}^{25}+\cdots)q^{3}+\cdots\)
1679.1.r.a 1679.r 1679.r $18$ $0.838$ \(\Q(\zeta_{54})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{54}^{17}-\zeta_{54}^{25})q^{2}+(\zeta_{54}^{20}+\cdots)q^{3}+\cdots\)
106.2.d.b 106.d 53.d $36$ $0.846$ None None \(-3\) \(-3\) \(-9\) \(-6\) $\mathrm{SU}(2)[C_{13}]$
111.2.o.b 111.o 37.h $18$ $0.886$ \(\mathbb{Q}[x]/(x^{18} + \cdots)\) None None \(3\) \(0\) \(-3\) \(9\) $\mathrm{SU}(2)[C_{18}]$ \(q-\beta _{16}q^{2}+(-\beta _{10}+\beta _{17})q^{3}+(-\beta _{9}+\cdots)q^{4}+\cdots\)
114.2.l.a 114.l 57.j $18$ $0.910$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{18}]$ \(q+(-\beta _{6}-\beta _{7})q^{2}+(\beta _{1}-\beta _{17})q^{3}+(\beta _{4}+\cdots)q^{4}+\cdots\)
114.2.l.b 114.l 57.j $18$ $0.910$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(0\) \(3\) \(0\) \(0\) $\mathrm{SU}(2)[C_{18}]$ \(q-\beta _{4}q^{2}+\beta _{5}q^{3}-\beta _{7}q^{4}+(\beta _{9}-\beta _{17})q^{5}+\cdots\)
1863.1.k.a 1863.k 621.k $18$ $0.930$ \(\Q(\zeta_{54})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{54}-\zeta_{54}^{20})q^{2}+(\zeta_{54}^{2}-\zeta_{54}^{13}+\cdots)q^{4}+\cdots\)
122.2.i.b 122.i 61.i $24$ $0.974$ None None \(3\) \(-3\) \(-12\) \(-4\) $\mathrm{SU}(2)[C_{15}]$
124.2.m.a 124.m 31.g $24$ $0.990$ None None \(0\) \(-1\) \(1\) \(-9\) $\mathrm{SU}(2)[C_{15}]$
2033.1.l.a 2033.l 2033.l $18$ $1.015$ \(\Q(\zeta_{54})\) \(\Q(\sqrt{-107}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{54}+\zeta_{54}^{20})q^{3}+\zeta_{54}^{12}q^{4}+\cdots\)
130.2.p.a 130.p 65.t $12$ $1.038$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{12}]$ \(q+\beta _{6}q^{2}+(\beta _{5}+\beta _{7}+\beta _{8}+\beta _{11})q^{3}+\cdots\)
130.2.s.a 130.s 65.o $12$ $1.038$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(-6\) \(0\) \(0\) \(6\) $\mathrm{SU}(2)[C_{12}]$ \(q-\beta _{3}q^{2}+(\beta _{1}-\beta _{2}-\beta _{11})q^{3}+(-1+\cdots)q^{4}+\cdots\)
39.3.l.b 39.l 13.f $12$ $1.063$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(-2\) \(0\) \(4\) \(-32\) $\mathrm{SU}(2)[C_{12}]$ \(q+(-\beta _{1}-\beta _{2})q^{2}+(\beta _{4}+\beta _{5})q^{3}+(-2+\cdots)q^{4}+\cdots\)
134.2.e.a 134.e 67.e $30$ $1.070$ None None \(3\) \(-1\) \(-3\) \(0\) $\mathrm{SU}(2)[C_{11}]$
2204.1.bk.a 2204.bk 2204.ak $18$ $1.100$ \(\Q(\zeta_{54})\) \(\Q(\sqrt{-29}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{54}^{6}q^{2}+(-\zeta_{54}+\zeta_{54}^{20})q^{3}+\cdots\)
2204.1.bk.b 2204.bk 2204.ak $18$ $1.100$ \(\Q(\zeta_{54})\) \(\Q(\sqrt{-29}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{54}^{6}q^{2}+(\zeta_{54}-\zeta_{54}^{20})q^{3}+\zeta_{54}^{12}q^{4}+\cdots\)
2241.1.k.a 2241.k 2241.k $18$ $1.118$ \(\Q(\zeta_{54})\) \(\Q(\sqrt{-83}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{54}^{17}q^{3}-\zeta_{54}^{21}q^{4}+(\zeta_{54}^{4}+\zeta_{54}^{8}+\cdots)q^{7}+\cdots\)
146.2.h.a 146.h 73.h $12$ $1.166$ \(\mathbb{Q}[x]/(x^{12} + \cdots)\) None None \(-6\) \(0\) \(-4\) \(-2\) $\mathrm{SU}(2)[C_{12}]$ \(q-\beta _{10}q^{2}+(\beta _{1}-\beta _{6})q^{3}+(-1+\beta _{10}+\cdots)q^{4}+\cdots\)
146.2.i.a 146.i 73.i $18$ $1.166$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(0\) \(-3\) \(-3\) \(0\) $\mathrm{SU}(2)[C_{18}]$ \(q+\beta _{6}q^{2}-\beta _{1}q^{3}-\beta _{10}q^{4}+(\beta _{10}+\beta _{12}+\cdots)q^{5}+\cdots\)
146.2.i.b 146.i 73.i $18$ $1.166$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None None \(0\) \(3\) \(-9\) \(0\) $\mathrm{SU}(2)[C_{18}]$ \(q+\beta _{3}q^{2}+(-\beta _{1}-\beta _{6})q^{3}+\beta _{15}q^{4}+\cdots\)
2356.1.cq.a 2356.cq 2356.bq $18$ $1.176$ \(\Q(\zeta_{54})\) \(\Q(\sqrt{-31}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{54}q^{2}+\zeta_{54}^{2}q^{4}+(\zeta_{54}^{13}+\zeta_{54}^{17}+\cdots)q^{5}+\cdots\)
2356.1.cq.b 2356.cq 2356.bq $18$ $1.176$ \(\Q(\zeta_{54})\) \(\Q(\sqrt{-31}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{54}^{2}q^{2}+\zeta_{54}^{4}q^{4}+(-\zeta_{54}^{8}-\zeta_{54}^{22}+\cdots)q^{5}+\cdots\)
2392.1.bq.a 2392.bq 2392.aq $12$ $1.194$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{36}^{16}q^{2}+(-\zeta_{36}-\zeta_{36}^{11})q^{3}+\cdots\)
2392.1.bq.b 2392.bq 2392.aq $12$ $1.194$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{36}^{11}q^{2}+(-\zeta_{36}^{13}+\zeta_{36}^{17}+\cdots)q^{3}+\cdots\)
153.2.o.a 153.o 51.i $24$ $1.222$ None None \(0\) \(0\) \(-8\) \(0\) $\mathrm{SU}(2)[C_{16}]$
153.2.o.b 153.o 51.i $24$ $1.222$ None None \(0\) \(0\) \(8\) \(0\) $\mathrm{SU}(2)[C_{16}]$
154.2.m.b 154.m 77.m $24$ $1.230$ None None \(-3\) \(-3\) \(3\) \(-5\) $\mathrm{SU}(2)[C_{15}]$
2484.1.s.a 2484.s 2484.s $18$ $1.240$ \(\Q(\zeta_{54})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{54}^{25}q^{2}-\zeta_{54}^{17}q^{3}-\zeta_{54}^{23}q^{4}+\cdots\)
2484.1.s.b 2484.s 2484.s $18$ $1.240$ \(\Q(\zeta_{54})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{54}^{5}q^{2}-\zeta_{54}^{8}q^{3}+\zeta_{54}^{10}q^{4}+\cdots\)
164.2.m.a 164.m 41.g $24$ $1.310$ None None \(0\) \(-2\) \(0\) \(0\) $\mathrm{SU}(2)[C_{20}]$
2655.1.u.a 2655.u 2655.u $12$ $1.325$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-59}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{36}^{8}q^{3}+\zeta_{36}^{15}q^{4}-\zeta_{36}^{4}q^{5}+\cdots\)
2655.1.u.b 2655.u 2655.u $12$ $1.325$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-59}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{36}^{5}q^{3}+\zeta_{36}^{15}q^{4}-\zeta_{36}^{14}q^{5}+\cdots\)
2691.1.bt.d 2691.bt 2691.at $12$ $1.343$ \(\Q(\zeta_{36})\) \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{36}^{13}-\zeta_{36}^{14})q^{2}-\zeta_{36}^{5}q^{3}+\cdots\)
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