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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
713.1.t.a 713.t 713.t $24$ $0.356$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{90}^{25}-\zeta_{90}^{29})q^{2}+(\zeta_{90}^{2}-\zeta_{90}^{19}+\cdots)q^{3}+\cdots\)
724.1.bg.a 724.bg 724.ag $24$ $0.361$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{90}^{23}q^{2}-\zeta_{90}q^{4}+(\zeta_{90}^{26}+\zeta_{90}^{40}+\cdots)q^{5}+\cdots\)
813.1.z.a 813.z 813.z $24$ $0.406$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-6\) \(0\) \(3\) \(q+\zeta_{90}^{36}q^{3}+\zeta_{90}^{4}q^{4}+(-\zeta_{90}^{3}+\cdots)q^{7}+\cdots\)
1269.1.j.b 1269.j 1269.j $24$ $0.633$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-47}) \) None \(0\) \(-6\) \(0\) \(3\) \(q+(\zeta_{90}^{14}+\zeta_{90}^{26})q^{2}-\zeta_{90}^{27}q^{3}+\cdots\)
1319.1.b.e 1319.b 1319.b $12$ $0.658$ \(\Q(\zeta_{45})^+\) $D_{45}$ \(\Q(\sqrt{-1319}) \) None \(0\) \(0\) \(0\) \(3\) \(q+\beta _{9}q^{2}+\beta _{7}q^{3}+(1-\beta _{5}-\beta _{9})q^{4}+\cdots\)
1501.1.bc.b 1501.bc 1501.ac $24$ $0.749$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-79}) \) None \(3\) \(0\) \(3\) \(0\) \(q+(-\zeta_{90}^{11}-\zeta_{90}^{39})q^{2}+(-\zeta_{90}^{5}+\cdots)q^{4}+\cdots\)
1623.1.bj.a 1623.bj 1623.aj $24$ $0.810$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{90}^{32}q^{3}-\zeta_{90}^{11}q^{4}+(-\zeta_{90}+\cdots)q^{7}+\cdots\)
1672.1.di.a 1672.di 1672.ci $24$ $0.834$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-2}) \) None \(0\) \(3\) \(0\) \(0\) \(q+\zeta_{90}^{22}q^{2}+(\zeta_{90}^{38}-\zeta_{90}^{39})q^{3}+\cdots\)
1672.1.di.b 1672.di 1672.ci $24$ $0.834$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-2}) \) None \(0\) \(3\) \(0\) \(0\) \(q+\zeta_{90}^{22}q^{2}+(-\zeta_{90}^{3}-\zeta_{90}^{29})q^{3}+\cdots\)
1739.1.p.b 1739.p 1739.p $24$ $0.868$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-47}) \) None \(3\) \(-6\) \(0\) \(0\) \(q+(\zeta_{90}^{12}+\zeta_{90}^{28})q^{2}+(\zeta_{90}^{14}+\zeta_{90}^{36}+\cdots)q^{3}+\cdots\)
1767.1.ef.a 1767.ef 1767.df $24$ $0.882$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{90}^{11}q^{3}-\zeta_{90}^{43}q^{4}+(\zeta_{90}^{4}+\zeta_{90}^{32}+\cdots)q^{7}+\cdots\)
1767.1.el.a 1767.el 1767.dl $24$ $0.882$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{90}^{34}q^{3}+\zeta_{90}^{32}q^{4}+(-\zeta_{90}^{31}+\cdots)q^{7}+\cdots\)
1823.1.b.f 1823.b 1823.b $12$ $0.910$ \(\Q(\zeta_{45})^+\) $D_{45}$ \(\Q(\sqrt{-1823}) \) None \(0\) \(0\) \(0\) \(-6\) \(q+\beta _{9}q^{2}+\beta _{7}q^{3}+(1-\beta _{5}-\beta _{9})q^{4}+\cdots\)
1871.1.b.e 1871.b 1871.b $12$ $0.934$ \(\Q(\zeta_{45})^+\) $D_{45}$ \(\Q(\sqrt{-1871}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{7}q^{2}+\beta _{1}q^{3}+(1+\beta _{11})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
1957.1.z.b 1957.z 1957.z $24$ $0.977$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-103}) \) None \(-6\) \(0\) \(0\) \(0\) \(q+(\zeta_{90}^{2}+\zeta_{90}^{18})q^{2}+(\zeta_{90}^{4}+\zeta_{90}^{20}+\cdots)q^{4}+\cdots\)
1991.1.ec.a 1991.ec 1991.dc $24$ $0.994$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-11}) \) None \(0\) \(3\) \(0\) \(0\) \(q+(-\zeta_{90}^{3}+\zeta_{90}^{40})q^{3}+\zeta_{90}^{8}q^{4}+\cdots\)
2039.1.b.e 2039.b 2039.b $12$ $1.018$ \(\Q(\zeta_{45})^+\) $D_{45}$ \(\Q(\sqrt{-2039}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{5}q^{2}+\beta _{7}q^{3}+(1+\beta _{9})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
2063.1.b.e 2063.b 2063.b $12$ $1.030$ \(\Q(\zeta_{45})^+\) $D_{45}$ \(\Q(\sqrt{-2063}) \) None \(0\) \(3\) \(0\) \(0\) \(q+\beta _{7}q^{2}+\beta _{6}q^{3}+(1+\beta _{11})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\)
2151.1.f.b 2151.f 2151.f $24$ $1.073$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-239}) \) None \(0\) \(3\) \(0\) \(0\) \(q+(-\zeta_{90}^{7}-\zeta_{90}^{23})q^{2}-\zeta_{90}^{3}q^{3}+\cdots\)
2164.1.bj.a 2164.bj 2164.aj $24$ $1.080$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(3\) \(0\) \(q+\zeta_{90}^{44}q^{2}-\zeta_{90}^{43}q^{4}+(\zeta_{90}^{4}-\zeta_{90}^{39}+\cdots)q^{5}+\cdots\)
2172.1.ck.a 2172.ck 543.af $24$ $1.084$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(6\) \(q+\zeta_{90}^{32}q^{3}+(\zeta_{90}^{6}+\zeta_{90}^{24})q^{7}+\cdots\)
2376.1.dr.a 2376.dr 2376.cr $24$ $1.186$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{90}^{22}q^{2}-\zeta_{90}^{43}q^{3}+\zeta_{90}^{44}q^{4}+\cdots\)
2376.1.dr.b 2376.dr 2376.cr $24$ $1.186$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{90}^{22}q^{2}+\zeta_{90}^{34}q^{3}+\zeta_{90}^{44}q^{4}+\cdots\)
2413.1.cb.b 2413.cb 2413.bb $24$ $1.204$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-127}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{90}^{14}+\zeta_{90}^{26})q^{2}+(-\zeta_{90}^{7}+\zeta_{90}^{28}+\cdots)q^{4}+\cdots\)
2433.1.ba.a 2433.ba 2433.aa $24$ $1.214$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(6\) \(q+\zeta_{90}^{22}q^{3}-\zeta_{90}^{3}q^{4}+(-\zeta_{90}^{21}+\cdots)q^{7}+\cdots\)
2573.1.p.a 2573.p 2573.p $24$ $1.284$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-83}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{90}^{25}-\zeta_{90}^{41})q^{3}-\zeta_{90}^{9}q^{4}+\cdots\)
2715.1.ed.a 2715.ed 2715.dd $24$ $1.355$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-15}) \) None \(-6\) \(0\) \(3\) \(0\) \(q+(-\zeta_{90}^{9}-\zeta_{90}^{25})q^{2}-\zeta_{90}^{7}q^{3}+\cdots\)
2715.1.ed.b 2715.ed 2715.dd $24$ $1.355$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-15}) \) None \(6\) \(0\) \(-3\) \(0\) \(q+(\zeta_{90}^{9}+\zeta_{90}^{25})q^{2}+\zeta_{90}^{7}q^{3}+(-\zeta_{90}^{5}+\cdots)q^{4}+\cdots\)
2717.1.db.c 2717.db 2717.cb $24$ $1.356$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-143}) \) None \(-3\) \(3\) \(0\) \(0\) \(q+(\zeta_{90}^{11}+\zeta_{90}^{39})q^{2}+(\zeta_{90}^{6}+\zeta_{90}^{14}+\cdots)q^{3}+\cdots\)
2717.1.db.d 2717.db 2717.cb $24$ $1.356$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-143}) \) None \(3\) \(3\) \(0\) \(0\) \(q+(-\zeta_{90}^{11}-\zeta_{90}^{39})q^{2}+(\zeta_{90}^{6}+\zeta_{90}^{14}+\cdots)q^{3}+\cdots\)
2849.1.gv.a 2849.gv 2849.fv $24$ $1.422$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-7}) \) None \(3\) \(0\) \(0\) \(0\) \(q+(-\zeta_{90}^{29}-\zeta_{90}^{33})q^{2}+(-\zeta_{90}^{13}+\cdots)q^{4}+\cdots\)
2849.1.gv.b 2849.gv 2849.fv $24$ $1.422$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-7}) \) None \(3\) \(0\) \(0\) \(0\) \(q+(\zeta_{90}^{24}+\zeta_{90}^{38})q^{2}+(-\zeta_{90}^{3}-\zeta_{90}^{17}+\cdots)q^{4}+\cdots\)
3213.1.cv.c 3213.cv 3213.bv $24$ $1.603$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-119}) \) None \(3\) \(0\) \(-6\) \(0\) \(q+(\zeta_{90}^{6}+\zeta_{90}^{14})q^{2}-\zeta_{90}^{29}q^{3}+\cdots\)
3213.1.cv.d 3213.cv 3213.bv $24$ $1.603$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-119}) \) None \(3\) \(0\) \(6\) \(0\) \(q+(\zeta_{90}^{6}+\zeta_{90}^{14})q^{2}+\zeta_{90}^{29}q^{3}+\cdots\)
3224.1.he.a 3224.he 3224.ge $24$ $1.609$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-26}) \) None \(-6\) \(0\) \(0\) \(0\) \(q-\zeta_{90}^{27}q^{2}+(-\zeta_{90}^{11}+\zeta_{90}^{40}+\cdots)q^{3}+\cdots\)
3224.1.he.b 3224.he 3224.ge $24$ $1.609$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-26}) \) None \(6\) \(0\) \(0\) \(0\) \(q+\zeta_{90}^{27}q^{2}+(-\zeta_{90}^{11}+\zeta_{90}^{40}+\cdots)q^{3}+\cdots\)
3401.1.l.b 3401.l 3401.l $24$ $1.697$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-179}) \) None \(0\) \(-6\) \(0\) \(0\) \(q+(\zeta_{90}^{2}+\zeta_{90}^{18})q^{3}-\zeta_{90}^{5}q^{4}+(\zeta_{90}^{16}+\cdots)q^{5}+\cdots\)
3441.1.gd.a 3441.gd 3441.fd $24$ $1.717$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-6\) \(q+\zeta_{90}^{26}q^{3}-\zeta_{90}^{23}q^{4}+(-\zeta_{90}^{19}+\cdots)q^{7}+\cdots\)
3441.1.gn.a 3441.gn 3441.fn $24$ $1.717$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(3\) \(q-\zeta_{90}^{11}q^{3}+\zeta_{90}^{38}q^{4}+(\zeta_{90}^{24}+\cdots)q^{7}+\cdots\)
3477.1.ge.a 3477.ge 3477.fe $24$ $1.735$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{90}^{22}q^{3}+\zeta_{90}^{44}q^{4}+(-\zeta_{90}^{5}+\cdots)q^{7}+\cdots\)
3477.1.gr.a 3477.gr 3477.fr $24$ $1.735$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{90}^{2}q^{3}+\zeta_{90}^{34}q^{4}+(-\zeta_{90}^{31}+\cdots)q^{7}+\cdots\)
3537.1.r.b 3537.r 3537.r $24$ $1.765$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-131}) \) None \(0\) \(0\) \(-6\) \(3\) \(q-\zeta_{90}^{29}q^{3}+\zeta_{90}^{10}q^{4}+(-\zeta_{90}^{23}+\cdots)q^{5}+\cdots\)
3559.1.b.f 3559.b 3559.b $12$ $1.776$ \(\Q(\zeta_{45})^+\) $D_{45}$ \(\Q(\sqrt{-3559}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{7}q^{2}+(1+\beta _{11})q^{4}+(-\beta _{4}-\beta _{5}+\cdots)q^{5}+\cdots\)
3596.1.cd.a 3596.cd 3596.bd $24$ $1.795$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-29}) \) None \(-6\) \(0\) \(0\) \(0\) \(q+\zeta_{90}^{36}q^{2}+(\zeta_{90}^{14}-\zeta_{90}^{19})q^{3}+\cdots\)
3596.1.cd.b 3596.cd 3596.bd $24$ $1.795$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-29}) \) None \(6\) \(0\) \(0\) \(0\) \(q-\zeta_{90}^{36}q^{2}+(-\zeta_{90}^{14}+\zeta_{90}^{19}+\cdots)q^{3}+\cdots\)
3620.1.dy.a 3620.dy 3620.cy $24$ $1.807$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(3\) \(0\) \(q+\zeta_{90}^{43}q^{2}+(\zeta_{90}^{11}+\zeta_{90}^{35})q^{3}+\cdots\)
3620.1.dy.b 3620.dy 3620.cy $24$ $1.807$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(3\) \(0\) \(q-\zeta_{90}^{43}q^{2}+(-\zeta_{90}^{11}-\zeta_{90}^{35}+\cdots)q^{3}+\cdots\)
3623.1.b.e 3623.b 3623.b $12$ $1.808$ \(\Q(\zeta_{45})^+\) $D_{45}$ \(\Q(\sqrt{-3623}) \) None \(3\) \(0\) \(0\) \(0\) \(q+\beta _{3}q^{2}+\beta _{7}q^{3}+(1+\beta _{6})q^{4}+(\beta _{4}+\cdots)q^{6}+\cdots\)
3652.1.k.a 3652.k 913.h $24$ $1.823$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-83}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{90}^{10}+\zeta_{90}^{26})q^{3}+(\zeta_{90}^{14}+\zeta_{90}^{40}+\cdots)q^{7}+\cdots\)
3700.1.dx.a 3700.dx 3700.cx $24$ $1.847$ \(\Q(\zeta_{45})\) $D_{45}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{90}^{19}q^{2}+\zeta_{90}^{38}q^{4}+\zeta_{90}^{22}q^{5}+\cdots\)
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