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Results (11 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 11
528.4.a.a 528.a 1.a $1$ $31.153$ \(\Q\) None \(0\) \(-3\) \(-14\) \(32\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-14q^{5}+2^{5}q^{7}+9q^{9}+11q^{11}+\cdots\)
528.4.a.c 528.a 1.a $1$ $31.153$ \(\Q\) None \(0\) \(-3\) \(-6\) \(14\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}-6q^{5}+14q^{7}+9q^{9}-11q^{11}+\cdots\)
528.4.a.e 528.a 1.a $1$ $31.153$ \(\Q\) None \(0\) \(-3\) \(10\) \(-8\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+10q^{5}-8q^{7}+9q^{9}+11q^{11}+\cdots\)
528.4.a.g 528.a 1.a $1$ $31.153$ \(\Q\) None \(0\) \(3\) \(-12\) \(-14\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}-12q^{5}-14q^{7}+9q^{9}-11q^{11}+\cdots\)
528.4.a.h 528.a 1.a $1$ $31.153$ \(\Q\) None \(0\) \(3\) \(-4\) \(26\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}-4q^{5}+26q^{7}+9q^{9}-11q^{11}+\cdots\)
528.4.a.j 528.a 1.a $1$ $31.153$ \(\Q\) None \(0\) \(3\) \(10\) \(-16\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}+10q^{5}-2^{4}q^{7}+9q^{9}-11q^{11}+\cdots\)
528.4.a.l 528.a 1.a $1$ $31.153$ \(\Q\) None \(0\) \(3\) \(22\) \(20\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}+22q^{5}+20q^{7}+9q^{9}-11q^{11}+\cdots\)
528.4.a.n 528.a 1.a $2$ $31.153$ \(\Q(\sqrt{97}) \) None \(0\) \(-6\) \(10\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+(5-\beta )q^{5}+(1-3\beta )q^{7}+9q^{9}+\cdots\)
528.4.a.q 528.a 1.a $2$ $31.153$ \(\Q(\sqrt{137}) \) None \(0\) \(6\) \(-6\) \(-16\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+(-3-\beta )q^{5}+(-8-2\beta )q^{7}+\cdots\)
528.4.a.s 528.a 1.a $3$ $31.153$ 3.3.123209.1 None \(0\) \(-9\) \(4\) \(-28\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-3q^{3}+(1-\beta _{1})q^{5}+(-10-\beta _{1}-\beta _{2})q^{7}+\cdots\)
528.4.a.t 528.a 1.a $3$ $31.153$ 3.3.142161.1 None \(0\) \(9\) \(4\) \(12\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{3}+(1-\beta _{1})q^{5}+(4-\beta _{2})q^{7}+9q^{9}+\cdots\)
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