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Results (16 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 7 23
2576.2.a.b 2576.a 1.a $1$ $20.569$ \(\Q\) None \(0\) \(-2\) \(-2\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}-2q^{5}-q^{7}+q^{9}-6q^{11}+\cdots\)
2576.2.a.d 2576.a 1.a $1$ $20.569$ \(\Q\) None \(0\) \(-2\) \(0\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{3}+q^{7}+q^{9}-4q^{11}+6q^{13}+\cdots\)
2576.2.a.f 2576.a 1.a $1$ $20.569$ \(\Q\) None \(0\) \(-2\) \(4\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}+4q^{5}-q^{7}+q^{9}-4q^{11}+\cdots\)
2576.2.a.i 2576.a 1.a $1$ $20.569$ \(\Q\) None \(0\) \(0\) \(-2\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}-q^{7}-3q^{9}+4q^{11}+4q^{13}+\cdots\)
2576.2.a.o 2576.a 1.a $1$ $20.569$ \(\Q\) None \(0\) \(3\) \(-4\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}-4q^{5}+q^{7}+6q^{9}-2q^{11}+\cdots\)
2576.2.a.p 2576.a 1.a $1$ $20.569$ \(\Q\) None \(0\) \(3\) \(0\) \(1\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{3}+q^{7}+6q^{9}+6q^{11}+q^{13}+\cdots\)
2576.2.a.s 2576.a 1.a $2$ $20.569$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(-2\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+(-1-\beta )q^{5}+q^{7}-2q^{9}-2\beta q^{11}+\cdots\)
2576.2.a.t 2576.a 1.a $2$ $20.569$ \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(-2\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+(-1+\beta )q^{5}+q^{7}+(3+\cdots)q^{9}+\cdots\)
2576.2.a.u 2576.a 1.a $2$ $20.569$ \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(2\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+(1-\beta )q^{5}-q^{7}+(1+2\beta )q^{9}+\cdots\)
2576.2.a.w 2576.a 1.a $3$ $20.569$ 3.3.316.1 None \(0\) \(-2\) \(4\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{3}+(1-\beta _{2})q^{5}+q^{7}+\cdots\)
2576.2.a.y 2576.a 1.a $3$ $20.569$ 3.3.148.1 None \(0\) \(0\) \(4\) \(3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{3}+(2-2\beta _{1}-\beta _{2})q^{5}+q^{7}+\cdots\)
2576.2.a.z 2576.a 1.a $4$ $20.569$ 4.4.34196.1 None \(0\) \(0\) \(0\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+\beta _{1}q^{5}+q^{7}+(1+\beta _{2})q^{9}+\cdots\)
2576.2.a.ba 2576.a 1.a $4$ $20.569$ 4.4.8468.1 None \(0\) \(3\) \(0\) \(-4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+(-\beta _{2}+\beta _{3})q^{5}-q^{7}+\cdots\)
2576.2.a.bb 2576.a 1.a $5$ $20.569$ 5.5.6963152.1 None \(0\) \(-3\) \(2\) \(5\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(1-\beta _{2}+\beta _{3})q^{5}+\cdots\)
2576.2.a.bc 2576.a 1.a $5$ $20.569$ 5.5.8580816.1 None \(0\) \(-1\) \(4\) \(-5\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{3}+(1+\beta _{4})q^{5}-q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
2576.2.a.be 2576.a 1.a $5$ $20.569$ 5.5.3385684.1 None \(0\) \(3\) \(2\) \(-5\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{3})q^{3}+\beta _{1}q^{5}-q^{7}+(3-\beta _{4})q^{9}+\cdots\)
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