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Label Char Prim Dim $A$ Field CM RM Traces Fricke sign Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2888.1.f.a 2888.f 8.d $1$ $1.441$ \(\Q\) \(\Q(\sqrt{-2}) \) None \(-1\) \(1\) \(0\) \(0\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}-q^{11}+\cdots\)
2888.1.f.b 2888.f 8.d $1$ $1.441$ \(\Q\) \(\Q(\sqrt{-2}) \) None \(1\) \(-1\) \(0\) \(0\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}-q^{11}+\cdots\)
2888.1.f.c 2888.f 8.d $3$ $1.441$ \(\Q(\zeta_{18})^+\) \(\Q(\sqrt{-2}) \) None \(-3\) \(0\) \(0\) \(0\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}-q^{8}+\cdots\)
2888.1.f.d 2888.f 8.d $3$ $1.441$ \(\Q(\zeta_{18})^+\) \(\Q(\sqrt{-2}) \) None \(3\) \(0\) \(0\) \(0\) \(q+q^{2}-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+q^{8}+\cdots\)
2888.1.k.a 2888.k 152.k $2$ $1.441$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-2}) \) None \(1\) \(-1\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots\)
2888.1.k.b 2888.k 152.k $6$ $1.441$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(-3\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{3}q^{2}+(-\zeta_{18}-\zeta_{18}^{5})q^{3}+\zeta_{18}^{6}q^{4}+\cdots\)
2888.1.k.c 2888.k 152.k $6$ $1.441$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(3\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{3}q^{2}+(-\zeta_{18}^{2}-\zeta_{18}^{4})q^{3}+\cdots\)
2888.1.l.a 2888.l 152.l $2$ $1.441$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-38}) \) None \(-1\) \(1\) \(0\) \(-2\) \(q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots\)
2888.1.l.b 2888.l 152.l $2$ $1.441$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-38}) \) None \(1\) \(-1\) \(0\) \(-2\) \(q-\zeta_{6}^{2}q^{2}+\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots\)
2888.1.s.a 2888.s 152.s $6$ $1.441$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-38}) \) None \(0\) \(0\) \(0\) \(3\) \(q-\zeta_{18}^{5}q^{2}-\zeta_{18}^{2}q^{3}-\zeta_{18}q^{4}+\zeta_{18}^{7}q^{6}+\cdots\)
2888.1.s.b 2888.s 152.s $6$ $1.441$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-38}) \) None \(0\) \(0\) \(0\) \(3\) \(q+\zeta_{18}^{5}q^{2}+\zeta_{18}^{2}q^{3}-\zeta_{18}q^{4}+\zeta_{18}^{7}q^{6}+\cdots\)
2888.1.u.a 2888.u 152.u $6$ $1.441$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(-6\) \(0\) \(0\) \(q+\zeta_{18}^{5}q^{2}+(-1-\zeta_{18}^{4})q^{3}-\zeta_{18}q^{4}+\cdots\)
2888.1.u.b 2888.u 152.u $6$ $1.441$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(-3\) \(0\) \(0\) \(q-\zeta_{18}^{5}q^{2}+(-\zeta_{18}-\zeta_{18}^{3})q^{3}-\zeta_{18}q^{4}+\cdots\)
2888.1.u.c 2888.u 152.u $6$ $1.441$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{5}q^{2}-\zeta_{18}^{2}q^{3}-\zeta_{18}q^{4}+\zeta_{18}^{7}q^{6}+\cdots\)
2888.1.u.d 2888.u 152.u $6$ $1.441$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{5}q^{2}+\zeta_{18}^{2}q^{3}-\zeta_{18}q^{4}+\zeta_{18}^{7}q^{6}+\cdots\)
2888.1.u.e 2888.u 152.u $6$ $1.441$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(3\) \(0\) \(0\) \(q+\zeta_{18}^{5}q^{2}+(-\zeta_{18}^{6}+\zeta_{18}^{7})q^{3}+\cdots\)
2888.1.u.f 2888.u 152.u $6$ $1.441$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(3\) \(0\) \(0\) \(q+\zeta_{18}^{5}q^{2}+(\zeta_{18}+\zeta_{18}^{3})q^{3}-\zeta_{18}q^{4}+\cdots\)
2888.1.u.g 2888.u 152.u $6$ $1.441$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(6\) \(0\) \(0\) \(q-\zeta_{18}^{5}q^{2}+(1+\zeta_{18}^{4})q^{3}-\zeta_{18}q^{4}+\cdots\)
2888.1.bb.a 2888.bb 2888.ab $18$ $1.441$ \(\Q(\zeta_{38})\) \(\Q(\sqrt{-2}) \) None \(-1\) \(17\) \(0\) \(0\) \(q-\zeta_{38}^{3}q^{2}+(1-\zeta_{38}^{17})q^{3}+\zeta_{38}^{6}q^{4}+\cdots\)
2888.1.bm.a 2888.bm 2888.am $36$ $1.441$ \(\Q(\zeta_{57})\) \(\Q(\sqrt{-2}) \) None \(1\) \(-20\) \(0\) \(0\) \(q-\zeta_{114}^{25}q^{2}+(-\zeta_{114}^{15}+\zeta_{114}^{38}+\cdots)q^{3}+\cdots\)
2888.1.bs.a 2888.bs 2888.as $108$ $1.441$ \(\Q(\zeta_{171})\) \(\Q(\sqrt{-2}) \) None \(0\) \(3\) \(0\) \(0\) \(q+\zeta_{342}^{70}q^{2}+(\zeta_{342}^{152}+\zeta_{342}^{156})q^{3}+\cdots\)
2888.2.a.a 2888.a 1.a $1$ $23.061$ \(\Q\) None None \(0\) \(-1\) \(-4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{5}-2q^{9}+3q^{11}-2q^{13}+\cdots\)
2888.2.a.b 2888.a 1.a $1$ $23.061$ \(\Q\) None None \(0\) \(-1\) \(0\) \(3\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{7}-2q^{9}+2q^{11}-q^{13}+\cdots\)
2888.2.a.c 2888.a 1.a $1$ $23.061$ \(\Q\) None None \(0\) \(-1\) \(3\) \(0\) $+$ $\mathrm{SU}(2)$ \(q-q^{3}+3q^{5}-2q^{9}-4q^{11}+5q^{13}+\cdots\)
2888.2.a.d 2888.a 1.a $1$ $23.061$ \(\Q\) None None \(0\) \(1\) \(-4\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}-4q^{5}-2q^{9}+3q^{11}+2q^{13}+\cdots\)
2888.2.a.e 2888.a 1.a $1$ $23.061$ \(\Q\) None None \(0\) \(1\) \(3\) \(0\) $+$ $\mathrm{SU}(2)$ \(q+q^{3}+3q^{5}-2q^{9}-4q^{11}-5q^{13}+\cdots\)
2888.2.a.f 2888.a 1.a $1$ $23.061$ \(\Q\) None None \(0\) \(2\) \(-1\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}-3q^{7}+q^{9}-3q^{11}+\cdots\)
2888.2.a.g 2888.a 1.a $2$ $23.061$ \(\Q(\sqrt{5}) \) None None \(0\) \(-2\) \(5\) \(-4\) $+$ $\mathrm{SU}(2)$ \(q-2\beta q^{3}+(2+\beta )q^{5}-2q^{7}+(1+4\beta )q^{9}+\cdots\)
2888.2.a.h 2888.a 1.a $2$ $23.061$ \(\Q(\sqrt{17}) \) None None \(0\) \(-1\) \(-3\) \(2\) $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(-1-\beta )q^{5}+q^{7}+(1+\beta )q^{9}+\cdots\)
2888.2.a.i 2888.a 1.a $2$ $23.061$ \(\Q(\sqrt{5}) \) None None \(0\) \(-1\) \(-2\) \(4\) $+$ $\mathrm{SU}(2)$ \(q-\beta q^{3}-2\beta q^{5}+(3-2\beta )q^{7}+(-2+\cdots)q^{9}+\cdots\)
2888.2.a.j 2888.a 1.a $2$ $23.061$ \(\Q(\sqrt{17}) \) None None \(0\) \(1\) \(-3\) \(2\) $+$ $\mathrm{SU}(2)$ \(q+\beta q^{3}+(-1-\beta )q^{5}+q^{7}+(1+\beta )q^{9}+\cdots\)
2888.2.a.k 2888.a 1.a $2$ $23.061$ \(\Q(\sqrt{5}) \) None None \(0\) \(1\) \(-2\) \(4\) $-$ $\mathrm{SU}(2)$ \(q+\beta q^{3}-2\beta q^{5}+(3-2\beta )q^{7}+(-2+\cdots)q^{9}+\cdots\)
2888.2.a.l 2888.a 1.a $2$ $23.061$ \(\Q(\sqrt{5}) \) None None \(0\) \(2\) \(5\) \(-4\) $-$ $\mathrm{SU}(2)$ \(q+2\beta q^{3}+(2+\beta )q^{5}-2q^{7}+(1+4\beta )q^{9}+\cdots\)
2888.2.a.m 2888.a 1.a $3$ $23.061$ \(\Q(\zeta_{18})^+\) None None \(0\) \(-3\) \(-3\) \(-6\) $+$ $\mathrm{SU}(2)$ \(q+(-1-2\beta _{1}+\beta _{2})q^{3}+(-1-\beta _{2})q^{5}+\cdots\)
2888.2.a.n 2888.a 1.a $3$ $23.061$ 3.3.316.1 None None \(0\) \(-1\) \(1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+(-\beta _{1}+\beta _{2})q^{3}+\beta _{1}q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
2888.2.a.o 2888.a 1.a $3$ $23.061$ 3.3.961.1 None None \(0\) \(-1\) \(1\) \(4\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}-\beta _{2}q^{5}+(2-\beta _{1}+\beta _{2})q^{7}+\cdots\)
2888.2.a.p 2888.a 1.a $3$ $23.061$ \(\Q(\zeta_{18})^+\) None None \(0\) \(0\) \(0\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}+(-1-2\beta _{1}+\cdots)q^{7}+\cdots\)
2888.2.a.q 2888.a 1.a $3$ $23.061$ \(\Q(\zeta_{18})^+\) None None \(0\) \(0\) \(0\) \(-3\) $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}+(-1-2\beta _{1}+\cdots)q^{7}+\cdots\)
2888.2.a.r 2888.a 1.a $3$ $23.061$ 3.3.316.1 None None \(0\) \(1\) \(1\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+(\beta _{1}-\beta _{2})q^{3}+\beta _{1}q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
2888.2.a.s 2888.a 1.a $3$ $23.061$ \(\Q(\zeta_{18})^+\) None None \(0\) \(3\) \(-3\) \(-6\) $+$ $\mathrm{SU}(2)$ \(q+(1+2\beta _{1}-\beta _{2})q^{3}+(-1-\beta _{2})q^{5}+\cdots\)
2888.2.a.t 2888.a 1.a $6$ $23.061$ 6.6.3022625.1 None None \(0\) \(-3\) \(2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{3}+(-\beta _{1}-\beta _{5})q^{5}+(\beta _{2}+\cdots)q^{7}+\cdots\)
2888.2.a.u 2888.a 1.a $6$ $23.061$ 6.6.3022625.1 None None \(0\) \(3\) \(2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{3}+(-\beta _{1}-\beta _{5})q^{5}+(\beta _{2}+\cdots)q^{7}+\cdots\)
2888.2.a.v 2888.a 1.a $8$ $23.061$ 8.8.\(\cdots\).1 None None \(0\) \(-6\) \(-2\) \(-2\) $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{3}+\beta _{4}-\beta _{5}+\cdots)q^{5}+\cdots\)
2888.2.a.w 2888.a 1.a $8$ $23.061$ 8.8.\(\cdots\).1 None None \(0\) \(6\) \(-2\) \(-2\) $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+(-1+\beta _{3}+\beta _{4}-\beta _{5}+\cdots)q^{5}+\cdots\)
2888.2.a.x 2888.a 1.a $9$ $23.061$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(-3\) \(3\) \(9\) $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(\beta _{4}+\beta _{5})q^{5}+(1+\beta _{6})q^{7}+\cdots\)
2888.2.a.y 2888.a 1.a $9$ $23.061$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None None \(0\) \(3\) \(3\) \(9\) $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(\beta _{4}+\beta _{5})q^{5}+(1+\beta _{6})q^{7}+\cdots\)
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