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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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Results (10 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5
225.6.a.b 225.a 1.a $1$ $36.086$ \(\Q\) None \(-4\) \(0\) \(0\) \(-225\) $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{2}-2^{4}q^{4}-15^{2}q^{7}+192q^{8}+\cdots\)
225.6.a.e 225.a 1.a $1$ $36.086$ \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(25\) $+$ $+$ $N(\mathrm{U}(1))$ \(q-2^{5}q^{4}+5^{2}q^{7}+775q^{13}+2^{10}q^{16}+\cdots\)
225.6.a.i 225.a 1.a $2$ $36.086$ \(\Q(\sqrt{89}) \) None \(-9\) \(0\) \(0\) \(108\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-4-\beta )q^{2}+(6+9\beta )q^{4}+(42+24\beta )q^{7}+\cdots\)
225.6.a.k 225.a 1.a $2$ $36.086$ \(\Q(\sqrt{145}) \) None \(-5\) \(0\) \(0\) \(-80\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-2-\beta )q^{2}+(8+5\beta )q^{4}+(-30+\cdots)q^{7}+\cdots\)
225.6.a.l 225.a 1.a $2$ $36.086$ \(\Q(\sqrt{241}) \) None \(-5\) \(0\) \(0\) \(200\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-2-\beta )q^{2}+(2^{5}+5\beta )q^{4}+(102+\cdots)q^{7}+\cdots\)
225.6.a.n 225.a 1.a $2$ $36.086$ \(\Q(\sqrt{11}) \) None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+12q^{4}+9\beta q^{7}-20\beta q^{8}+\cdots\)
225.6.a.o 225.a 1.a $2$ $36.086$ \(\Q(\sqrt{70}) \) None \(0\) \(0\) \(0\) \(-90\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+38q^{4}-45q^{7}+6\beta q^{8}-40\beta q^{11}+\cdots\)
225.6.a.r 225.a 1.a $2$ $36.086$ \(\Q(\sqrt{145}) \) None \(5\) \(0\) \(0\) \(-80\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(3-\beta )q^{2}+(13-5\beta )q^{4}+(-50+20\beta )q^{7}+\cdots\)
225.6.a.t 225.a 1.a $2$ $36.086$ \(\Q(\sqrt{31}) \) None \(6\) \(0\) \(0\) \(-102\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(3+\beta )q^{2}+(8+6\beta )q^{4}+(-51-24\beta )q^{7}+\cdots\)
225.6.a.u 225.a 1.a $2$ $36.086$ \(\Q(\sqrt{89}) \) None \(9\) \(0\) \(0\) \(-108\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(5-\beta )q^{2}+(15-9\beta )q^{4}+(-66+24\beta )q^{7}+\cdots\)
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